From cfb3f2ef81b3250c3aeb8cc25eb74569ebbb098f Mon Sep 17 00:00:00 2001
From: Jan Viatteau <viatteau.jan@gmail.com>
Date: Sun, 11 Aug 2024 12:59:05 -0400
Subject: [PATCH 1/5] Added FC_solve_EoM module which has functions for solving
 frequency conversion, with its test and example files

---
 FrequencyConversion/FC_solve_EoM.py           |  238 +
 FrequencyConversion/example_solve_EoM.ipynb   | 9356 +++++++++++++++++
 .../fermionic_bloch_messiah.py                |   28 +
 .../test_fermionic_bloch_messiah.py           |   47 +
 FrequencyConversion/test_solve_EoM.py         |  103 +
 5 files changed, 9772 insertions(+)
 create mode 100644 FrequencyConversion/FC_solve_EoM.py
 create mode 100644 FrequencyConversion/example_solve_EoM.ipynb
 create mode 100644 FrequencyConversion/fermionic_bloch_messiah.py
 create mode 100644 FrequencyConversion/test_fermionic_bloch_messiah.py
 create mode 100644 FrequencyConversion/test_solve_EoM.py

diff --git a/FrequencyConversion/FC_solve_EoM.py b/FrequencyConversion/FC_solve_EoM.py
new file mode 100644
index 0000000..c4d4560
--- /dev/null
+++ b/FrequencyConversion/FC_solve_EoM.py
@@ -0,0 +1,238 @@
+"""Functions to calculate the numerical solution to the FC equations of motion using linear algebra"""
+
+import numpy as jnp
+from scipy.linalg import svd
+from scipy.linalg import expm
+from scipy.special import hermite
+
+# pylint: disable=invalid-name
+# pylint: disable=too-many-arguments
+# pylint: disable=too-many-locals
+# pylint: disable=consider-using-enumerate
+
+
+def dag(M):
+    """
+    Gives the Hermitian conjugate of input matrix.
+
+    Args:
+        M (array): input matrix
+
+    Returns:
+        array: the Hermitian conjugate matrix
+    """
+    return M.conj().T
+
+
+def pulse_shape(dw, sig, n=0):
+    """
+    Gives a Hermite-Gaussian pulse shape.
+
+    Args:
+        dw (array): frequency vector or grid
+        sig (float): width of the pulse
+        n (int): index of Hermite polynomial used. Default is 0 (first Hermite polynomial)
+
+    Returns:
+        array: pulse shape
+    """
+    gaussian = jnp.exp(-(dw**2) / (2 * sig**2)) / jnp.sqrt(2 * jnp.pi * sig**2)
+    return gaussian * hermite(n)(dw / sig)
+
+
+def get_blocks(M):
+    """
+    Separates a matrix into 4 blocks.
+
+    Args:
+        M (array): matrix to split
+
+    Returns:
+        (array, :top left block
+        array,  :top right block
+        array,  :bottom left block
+        array)  :bottom right block
+    """
+    side = M.shape[0]
+    Ua = M[0 : side // 2, 0 : side // 2]
+    Va = M[0 : side // 2, side // 2 : side]
+    Vc = M[side // 2 : side, 0 : side // 2]
+    Uc = M[side // 2 : side, side // 2 : side]
+    return Ua, Va, Vc, Uc
+
+
+def get_prop(dw, vp, va, vc, pump, L, D=1):
+    """
+    Generates the propagator given the crystal and pump parameters, and a frequency vector.
+
+    Args:
+        dw (array): frequency vector
+        vp (float): group velocity for pump
+        va (float): group velocity for a beam
+        vc (float): group velocity for c beam
+        pump (array): pump pulse shape as a matrix (already scaled)
+        L (float): length of propagation in the crystal
+        D (float): number depicting the strength of the nonlinear interaction
+
+    Returns:
+        (array, :logm of the propagator
+        array)  :propagator
+    """
+
+    # Upper left and bottom right (diagonal) blocks
+    ka = 1 / va - 1 / vp
+    kc = 1 / vc - 1 / vp
+
+    Ka = jnp.diag(1j * dw * ka)
+    Kc = jnp.diag(1j * dw * kc)
+    # Bottom left and upper right (non-diagonal) blocks
+
+    J = jnp.block([[Ka, -1j * jnp.conj(D) * pump], [-1j * D * pump.conj().T, Kc]])
+    prop = expm(J * L)
+    return J, prop
+
+
+def check_prop(prop, print_checks=False):
+    """
+    Verifies that the obtained propagator fulfills the 6 conditions imposed in the paper
+    by Andreas Christ from 2013 (equations A3-4 and A6-7).
+    Returns the maximum error for each condition.
+
+    Args :
+        prop (matrix): the propagator to perform the checks on
+        print_checks (bool): if True, prints if the condition is True or False. False by default.
+
+    Returns :
+        array: maximum value of the absolute value of the condition mismatch,
+               for each condition (always an array of 6 floats)
+    """
+    Ua, Va, Vc, Uc = get_blocks(prop)
+    Vc = -Vc
+    N = Ua.shape[0]
+    cond1a = Ua @ dag(Ua) + Va @ dag(Va)
+    cond1b = Uc @ dag(Uc) + Vc @ dag(Vc)
+    cond3a = dag(Ua) @ Ua + dag(Vc) @ Vc
+    cond3b = dag(Uc) @ Uc + dag(Va) @ Va
+    cond2 = Ua @ dag(Vc) - Va @ dag(Uc)
+    cond4 = dag(Ua) @ Va - dag(Vc) @ Uc
+    I = jnp.identity(N)
+    O = jnp.zeros((N, N))
+    conds = jnp.array([cond1a, cond1b, cond2, cond3a, cond3b, cond4])
+    comps = jnp.array([I, I, O, I, I, O])
+    labels = ["1a", "1b", "2", "3a", "3b", "4"]
+    to_return = jnp.array([])
+    for i in range(len(labels)):
+        cond = conds[i]
+        comp = comps[i]
+        txt = "Condition {name} is {TF}"
+        if print_checks:
+            print(txt.format(name=labels[i], TF=jnp.allclose(cond, comp)))
+        to_return = jnp.append(to_return, jnp.max(jnp.abs(cond - comp)))
+    return to_return
+
+
+def remove_phases(prop, dw, L, vp, va, vc):
+    """
+    Removes the free space propagation phases from the propagator.
+
+    Args:
+        prop (array): propagator with phases
+        dw (array): frequency vector
+        L (float): length of propagation in crystal
+        vp (float): group velocity for pump
+        va (float): group velocity for a beam
+        vc (float): group velocity for c beam
+
+    Returns:
+        array :the phase-free propagator as a matrix
+    """
+    kc = 1 / vp - 1 / vc
+    ka = 1 / va - 1 / vp
+
+    # separate into blocks
+    Ua, Va, Vc, Uc = get_blocks(prop)
+    # remove phases
+    Uc = jnp.diag(jnp.exp(1j * dw * kc * L)) @ Uc
+    Vc = jnp.diag(jnp.exp(1j * dw * kc * L)) @ Vc
+    Va = jnp.diag(jnp.exp(-1j * dw * ka * L)) @ Va
+    Ua = jnp.diag(jnp.exp(-1j * dw * ka * L)) @ Ua
+    return jnp.block([[Ua, Va], [Vc, Uc]])
+
+
+def get_JCA(prop):
+    """
+    Gives the Joint Spectral Amplitude based on the propagator.
+
+    Args:
+        prop (array): propagator with phases
+        dw (array): frequency vector
+        L (float) : length of propagation in crystal
+        vp (float): group velocity for pump
+        va (float): group velocity for a beam
+        vc (float): group velocity for c beam
+
+    Returns:
+        array :JCA as a matrix
+    """
+    Ua, _, Vc, _ = get_blocks(prop)
+    M = Ua @ jnp.conj(Vc).T
+    U, s, V = svd(M)
+    S = jnp.diag(s)
+    R = jnp.arcsin(2 * S) / 2
+    J = U @ R @ V
+    return J
+
+
+def get_schmidt(prop):
+    """
+    Gives average number of photons, eigenfunctions (Schmidt modes)
+    and eigenvalues (Schmidt coefficients squared) from propagator.
+    This is done using an eigendecomposition.
+    For the method with straight-up svds, see get_schmidt2.
+
+    Args:
+        prop(array): propagator
+        dw (array): frequency vector
+        L (float): length of propagation crystal
+        vp (float): group velocity for pump
+        va (float): group velocity for a beam
+        vc (float): group velocity for c beam
+
+    Returns:
+        (float, :avg number of photons
+        array,  :Schmidt modes
+        array)  :Schmidt coefficients squared
+    """
+    _, Va, _, _ = get_blocks(prop)
+    Numa = Va @ jnp.conj(Va).T  # Numbers matrix for a-beam
+    Na = jnp.real(jnp.trace(Numa))  # average number of photons in a-beam
+    val, u = jnp.linalg.eigh(Numa)  # schmidt coefficients squared and modes from eigendecomposition
+    val = jnp.flip(val)
+    u = jnp.flip(u, axis=1)
+    return Na, val, u
+
+
+def get_schmidt2(prop):
+    """
+    Alternative method to get Schmidt modes and coefficients
+    by doing svds of the propagator blocks directly.
+
+    Args :
+        prop (array): the propagator
+
+    Returns :
+        (array, :the U matrix from the svd of Va
+        array,  :the array of singular values from the svd of Va
+        array,  :the V matrix from the svd of Va
+        array,  :the U matrix from the svd of Vc
+        array,  :the array of singular values from the svd of Vc
+        array)  :the V matrix from the svd of Vc
+    """
+    _, Va, Vc, _ = get_blocks(prop)
+    varphiV, sinrk1, phiV = svd(Va)
+    xiV, sinrk2, psiV = svd(Vc)
+    varphiV = jnp.flip(varphiV, axis=0)
+    phiV = jnp.flip(phiV, axis=0)
+    xiV = jnp.flip(xiV, axis=0)
+    psiV = jnp.flip(psiV, axis=0)
+    return jnp.conj(varphiV), sinrk1, phiV.T, jnp.conj(xiV), sinrk2, psiV.T
diff --git a/FrequencyConversion/example_solve_EoM.ipynb b/FrequencyConversion/example_solve_EoM.ipynb
new file mode 100644
index 0000000..7c7752c
--- /dev/null
+++ b/FrequencyConversion/example_solve_EoM.ipynb
@@ -0,0 +1,9356 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Short example of usage for generating and analyzing the propagator for frequency conversion, for an unpoled waveguide."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 21,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "The autoreload extension is already loaded. To reload it, use:\n",
+      "  %reload_ext autoreload\n"
+     ]
+    }
+   ],
+   "source": [
+    "import numpy as np\n",
+    "import matplotlib.pyplot as plt\n",
+    "from FC_solve_EoM import get_prop, get_JCA, get_schmidt, get_schmidt2, pulse_shape, remove_phases\n",
+    "%config InlineBackend.figure_formats=['svg']\n",
+    "%load_ext autoreload\n",
+    "%autoreload 2\n",
+    "np.set_printoptions(linewidth=170)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "We begin by defining the parameters associated with frequency conversion (of the pump and crystal)."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 22,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "vc, vp, va = 1 / 1.5, 1 / 3, 1 / 4.5  # group velocities\n",
+    "\n",
+    "dw_range = 10  # Range of frequency values\n",
+    "N = 301 # Number of frequency points\n",
+    "dw = np.linspace(-dw_range, dw_range, N)  # Frequency vector\n",
+    "L = 1.35  # Length of propagation in FC medium\n",
+    "sig = 1.1  # Width of the (Hermite-Gaussian) pump shape\n",
+    "amp = 0.08 # Pump amplitude\n",
+    "pump = amp * pulse_shape(dw[:, np.newaxis] - dw, sig, n = 0)  # Gaussian-shaped pump"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "We then generate the propagator by calling the appropriate function."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 23,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "_, prop = get_prop(dw, vp, va, vc, pump, L)  # Matrix to exponentiate and propagator"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "We can visualize the input pulses by defining them and comparing them to the pump pulse shape."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 24,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Initial pulses\n",
+    "initial_Ea = np.zeros(dw.size)\n",
+    "initial_Ec = 0.05 * pulse_shape(dw, 1)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 25,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<matplotlib.legend.Legend at 0x1355c49d890>"
+      ]
+     },
+     "execution_count": 25,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
+       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
+       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
+       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"414.46375pt\" height=\"312.30825pt\" viewBox=\"0 0 414.46375 312.30825\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
+       " <metadata>\n",
+       "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
+       "   <cc:Work>\n",
+       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
+       "    <dc:date>2024-08-11T12:57:50.269748</dc:date>\n",
+       "    <dc:format>image/svg+xml</dc:format>\n",
+       "    <dc:creator>\n",
+       "     <cc:Agent>\n",
+       "      <dc:title>Matplotlib v3.7.2, https://matplotlib.org/</dc:title>\n",
+       "     </cc:Agent>\n",
+       "    </dc:creator>\n",
+       "   </cc:Work>\n",
+       "  </rdf:RDF>\n",
+       " </metadata>\n",
+       " <defs>\n",
+       "  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: butt}</style>\n",
+       " </defs>\n",
+       " <g id=\"figure_1\">\n",
+       "  <g id=\"patch_1\">\n",
+       "   <path d=\"M 0 312.30825 \n",
+       "L 414.46375 312.30825 \n",
+       "L 414.46375 0 \n",
+       "L 0 0 \n",
+       "z\n",
+       "\" style=\"fill: #ffffff\"/>\n",
+       "  </g>\n",
+       "  <g id=\"axes_1\">\n",
+       "   <g id=\"patch_2\">\n",
+       "    <path d=\"M 50.14375 288.430125 \n",
+       "L 407.26375 288.430125 \n",
+       "L 407.26375 22.318125 \n",
+       "L 50.14375 22.318125 \n",
+       "z\n",
+       "\" style=\"fill: #ffffff\"/>\n",
+       "   </g>\n",
+       "   <g id=\"matplotlib.axis_1\">\n",
+       "    <g id=\"xtick_1\">\n",
+       "     <g id=\"line2d_1\">\n",
+       "      <defs>\n",
+       "       <path id=\"mceb596a761\" d=\"M 0 0 \n",
+       "L 0 3.5 \n",
+       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </defs>\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#mceb596a761\" x=\"66.376477\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_1\">\n",
+       "      <!-- −10.0 -->\n",
+       "      <g transform=\"translate(51.053821 303.028562) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-2212\" d=\"M 678 2272 \n",
+       "L 4684 2272 \n",
+       "L 4684 1741 \n",
+       "L 678 1741 \n",
+       "L 678 2272 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "        <path id=\"DejaVuSans-31\" d=\"M 794 531 \n",
+       "L 1825 531 \n",
+       "L 1825 4091 \n",
+       "L 703 3866 \n",
+       "L 703 4441 \n",
+       "L 1819 4666 \n",
+       "L 2450 4666 \n",
+       "L 2450 531 \n",
+       "L 3481 531 \n",
+       "L 3481 0 \n",
+       "L 794 0 \n",
+       "L 794 531 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "        <path id=\"DejaVuSans-30\" d=\"M 2034 4250 \n",
+       "Q 1547 4250 1301 3770 \n",
+       "Q 1056 3291 1056 2328 \n",
+       "Q 1056 1369 1301 889 \n",
+       "Q 1547 409 2034 409 \n",
+       "Q 2525 409 2770 889 \n",
+       "Q 3016 1369 3016 2328 \n",
+       "Q 3016 3291 2770 3770 \n",
+       "Q 2525 4250 2034 4250 \n",
+       "z\n",
+       "M 2034 4750 \n",
+       "Q 2819 4750 3233 4129 \n",
+       "Q 3647 3509 3647 2328 \n",
+       "Q 3647 1150 3233 529 \n",
+       "Q 2819 -91 2034 -91 \n",
+       "Q 1250 -91 836 529 \n",
+       "Q 422 1150 422 2328 \n",
+       "Q 422 3509 836 4129 \n",
+       "Q 1250 4750 2034 4750 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "        <path id=\"DejaVuSans-2e\" d=\"M 684 794 \n",
+       "L 1344 794 \n",
+       "L 1344 0 \n",
+       "L 684 0 \n",
+       "L 684 794 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-31\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"211.035156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"242.822266\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_2\">\n",
+       "     <g id=\"line2d_2\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#mceb596a761\" x=\"106.958295\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_2\">\n",
+       "      <!-- −7.5 -->\n",
+       "      <g transform=\"translate(94.816889 303.028562) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-37\" d=\"M 525 4666 \n",
+       "L 3525 4666 \n",
+       "L 3525 4397 \n",
+       "L 1831 0 \n",
+       "L 1172 0 \n",
+       "L 2766 4134 \n",
+       "L 525 4134 \n",
+       "L 525 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "        <path id=\"DejaVuSans-35\" d=\"M 691 4666 \n",
+       "L 3169 4666 \n",
+       "L 3169 4134 \n",
+       "L 1269 4134 \n",
+       "L 1269 2991 \n",
+       "Q 1406 3038 1543 3061 \n",
+       "Q 1681 3084 1819 3084 \n",
+       "Q 2600 3084 3056 2656 \n",
+       "Q 3513 2228 3513 1497 \n",
+       "Q 3513 744 3044 326 \n",
+       "Q 2575 -91 1722 -91 \n",
+       "Q 1428 -91 1123 -41 \n",
+       "Q 819 9 494 109 \n",
+       "L 494 744 \n",
+       "Q 775 591 1075 516 \n",
+       "Q 1375 441 1709 441 \n",
+       "Q 2250 441 2565 725 \n",
+       "Q 2881 1009 2881 1497 \n",
+       "Q 2881 1984 2565 2268 \n",
+       "Q 2250 2553 1709 2553 \n",
+       "Q 1456 2553 1204 2497 \n",
+       "Q 953 2441 691 2322 \n",
+       "L 691 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-37\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"179.199219\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_3\">\n",
+       "     <g id=\"line2d_3\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#mceb596a761\" x=\"147.540114\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_3\">\n",
+       "      <!-- −5.0 -->\n",
+       "      <g transform=\"translate(135.398707 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"179.199219\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_4\">\n",
+       "     <g id=\"line2d_4\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#mceb596a761\" x=\"188.121932\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_4\">\n",
+       "      <!-- −2.5 -->\n",
+       "      <g transform=\"translate(175.980526 303.028562) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-32\" d=\"M 1228 531 \n",
+       "L 3431 531 \n",
+       "L 3431 0 \n",
+       "L 469 0 \n",
+       "L 469 531 \n",
+       "Q 828 903 1448 1529 \n",
+       "Q 2069 2156 2228 2338 \n",
+       "Q 2531 2678 2651 2914 \n",
+       "Q 2772 3150 2772 3378 \n",
+       "Q 2772 3750 2511 3984 \n",
+       "Q 2250 4219 1831 4219 \n",
+       "Q 1534 4219 1204 4116 \n",
+       "Q 875 4013 500 3803 \n",
+       "L 500 4441 \n",
+       "Q 881 4594 1212 4672 \n",
+       "Q 1544 4750 1819 4750 \n",
+       "Q 2544 4750 2975 4387 \n",
+       "Q 3406 4025 3406 3419 \n",
+       "Q 3406 3131 3298 2873 \n",
+       "Q 3191 2616 2906 2266 \n",
+       "Q 2828 2175 2409 1742 \n",
+       "Q 1991 1309 1228 531 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-32\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"179.199219\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_5\">\n",
+       "     <g id=\"line2d_5\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#mceb596a761\" x=\"228.70375\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_5\">\n",
+       "      <!-- 0.0 -->\n",
+       "      <g transform=\"translate(220.752188 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_6\">\n",
+       "     <g id=\"line2d_6\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#mceb596a761\" x=\"269.285568\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_6\">\n",
+       "      <!-- 2.5 -->\n",
+       "      <g transform=\"translate(261.334006 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_7\">\n",
+       "     <g id=\"line2d_7\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#mceb596a761\" x=\"309.867386\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_7\">\n",
+       "      <!-- 5.0 -->\n",
+       "      <g transform=\"translate(301.915824 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-35\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_8\">\n",
+       "     <g id=\"line2d_8\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#mceb596a761\" x=\"350.449205\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_8\">\n",
+       "      <!-- 7.5 -->\n",
+       "      <g transform=\"translate(342.497642 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-37\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_9\">\n",
+       "     <g id=\"line2d_9\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#mceb596a761\" x=\"391.031023\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_9\">\n",
+       "      <!-- 10.0 -->\n",
+       "      <g transform=\"translate(379.89821 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"127.246094\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "   </g>\n",
+       "   <g id=\"matplotlib.axis_2\">\n",
+       "    <g id=\"ytick_1\">\n",
+       "     <g id=\"line2d_10\">\n",
+       "      <defs>\n",
+       "       <path id=\"m27e3c44b2d\" d=\"M 0 0 \n",
+       "L -3.5 0 \n",
+       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </defs>\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m27e3c44b2d\" x=\"50.14375\" y=\"276.334125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_10\">\n",
+       "      <!-- 0.00 -->\n",
+       "      <g transform=\"translate(20.878125 280.133344) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_2\">\n",
+       "     <g id=\"line2d_11\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m27e3c44b2d\" x=\"50.14375\" y=\"242.981932\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_11\">\n",
+       "      <!-- 0.05 -->\n",
+       "      <g transform=\"translate(20.878125 246.781151) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"159.033203\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_3\">\n",
+       "     <g id=\"line2d_12\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m27e3c44b2d\" x=\"50.14375\" y=\"209.629739\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_12\">\n",
+       "      <!-- 0.10 -->\n",
+       "      <g transform=\"translate(20.878125 213.428957) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-31\" x=\"95.410156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_4\">\n",
+       "     <g id=\"line2d_13\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m27e3c44b2d\" x=\"50.14375\" y=\"176.277545\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_13\">\n",
+       "      <!-- 0.15 -->\n",
+       "      <g transform=\"translate(20.878125 180.076764) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-31\" x=\"95.410156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"159.033203\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_5\">\n",
+       "     <g id=\"line2d_14\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m27e3c44b2d\" x=\"50.14375\" y=\"142.925352\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_14\">\n",
+       "      <!-- 0.20 -->\n",
+       "      <g transform=\"translate(20.878125 146.724571) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-32\" x=\"95.410156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_6\">\n",
+       "     <g id=\"line2d_15\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m27e3c44b2d\" x=\"50.14375\" y=\"109.573159\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_15\">\n",
+       "      <!-- 0.25 -->\n",
+       "      <g transform=\"translate(20.878125 113.372378) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-32\" x=\"95.410156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"159.033203\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_7\">\n",
+       "     <g id=\"line2d_16\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m27e3c44b2d\" x=\"50.14375\" y=\"76.220966\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_16\">\n",
+       "      <!-- 0.30 -->\n",
+       "      <g transform=\"translate(20.878125 80.020185) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-33\" d=\"M 2597 2516 \n",
+       "Q 3050 2419 3304 2112 \n",
+       "Q 3559 1806 3559 1356 \n",
+       "Q 3559 666 3084 287 \n",
+       "Q 2609 -91 1734 -91 \n",
+       "Q 1441 -91 1130 -33 \n",
+       "Q 819 25 488 141 \n",
+       "L 488 750 \n",
+       "Q 750 597 1062 519 \n",
+       "Q 1375 441 1716 441 \n",
+       "Q 2309 441 2620 675 \n",
+       "Q 2931 909 2931 1356 \n",
+       "Q 2931 1769 2642 2001 \n",
+       "Q 2353 2234 1838 2234 \n",
+       "L 1294 2234 \n",
+       "L 1294 2753 \n",
+       "L 1863 2753 \n",
+       "Q 2328 2753 2575 2939 \n",
+       "Q 2822 3125 2822 3475 \n",
+       "Q 2822 3834 2567 4026 \n",
+       "Q 2313 4219 1838 4219 \n",
+       "Q 1578 4219 1281 4162 \n",
+       "Q 984 4106 628 3988 \n",
+       "L 628 4550 \n",
+       "Q 988 4650 1302 4700 \n",
+       "Q 1616 4750 1894 4750 \n",
+       "Q 2613 4750 3031 4423 \n",
+       "Q 3450 4097 3450 3541 \n",
+       "Q 3450 3153 3228 2886 \n",
+       "Q 3006 2619 2597 2516 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-33\" x=\"95.410156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_8\">\n",
+       "     <g id=\"line2d_17\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m27e3c44b2d\" x=\"50.14375\" y=\"42.868773\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_17\">\n",
+       "      <!-- 0.35 -->\n",
+       "      <g transform=\"translate(20.878125 46.667992) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-33\" x=\"95.410156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"159.033203\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"text_18\">\n",
+       "     <!-- Amplitude -->\n",
+       "     <g transform=\"translate(14.798438 180.996781) rotate(-90) scale(0.1 -0.1)\">\n",
+       "      <defs>\n",
+       "       <path id=\"DejaVuSans-41\" d=\"M 2188 4044 \n",
+       "L 1331 1722 \n",
+       "L 3047 1722 \n",
+       "L 2188 4044 \n",
+       "z\n",
+       "M 1831 4666 \n",
+       "L 2547 4666 \n",
+       "L 4325 0 \n",
+       "L 3669 0 \n",
+       "L 3244 1197 \n",
+       "L 1141 1197 \n",
+       "L 716 0 \n",
+       "L 50 0 \n",
+       "L 1831 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-6d\" d=\"M 3328 2828 \n",
+       "Q 3544 3216 3844 3400 \n",
+       "Q 4144 3584 4550 3584 \n",
+       "Q 5097 3584 5394 3201 \n",
+       "Q 5691 2819 5691 2113 \n",
+       "L 5691 0 \n",
+       "L 5113 0 \n",
+       "L 5113 2094 \n",
+       "Q 5113 2597 4934 2840 \n",
+       "Q 4756 3084 4391 3084 \n",
+       "Q 3944 3084 3684 2787 \n",
+       "Q 3425 2491 3425 1978 \n",
+       "L 3425 0 \n",
+       "L 2847 0 \n",
+       "L 2847 2094 \n",
+       "Q 2847 2600 2669 2842 \n",
+       "Q 2491 3084 2119 3084 \n",
+       "Q 1678 3084 1418 2786 \n",
+       "Q 1159 2488 1159 1978 \n",
+       "L 1159 0 \n",
+       "L 581 0 \n",
+       "L 581 3500 \n",
+       "L 1159 3500 \n",
+       "L 1159 2956 \n",
+       "Q 1356 3278 1631 3431 \n",
+       "Q 1906 3584 2284 3584 \n",
+       "Q 2666 3584 2933 3390 \n",
+       "Q 3200 3197 3328 2828 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-70\" d=\"M 1159 525 \n",
+       "L 1159 -1331 \n",
+       "L 581 -1331 \n",
+       "L 581 3500 \n",
+       "L 1159 3500 \n",
+       "L 1159 2969 \n",
+       "Q 1341 3281 1617 3432 \n",
+       "Q 1894 3584 2278 3584 \n",
+       "Q 2916 3584 3314 3078 \n",
+       "Q 3713 2572 3713 1747 \n",
+       "Q 3713 922 3314 415 \n",
+       "Q 2916 -91 2278 -91 \n",
+       "Q 1894 -91 1617 61 \n",
+       "Q 1341 213 1159 525 \n",
+       "z\n",
+       "M 3116 1747 \n",
+       "Q 3116 2381 2855 2742 \n",
+       "Q 2594 3103 2138 3103 \n",
+       "Q 1681 3103 1420 2742 \n",
+       "Q 1159 2381 1159 1747 \n",
+       "Q 1159 1113 1420 752 \n",
+       "Q 1681 391 2138 391 \n",
+       "Q 2594 391 2855 752 \n",
+       "Q 3116 1113 3116 1747 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-6c\" d=\"M 603 4863 \n",
+       "L 1178 4863 \n",
+       "L 1178 0 \n",
+       "L 603 0 \n",
+       "L 603 4863 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-69\" d=\"M 603 3500 \n",
+       "L 1178 3500 \n",
+       "L 1178 0 \n",
+       "L 603 0 \n",
+       "L 603 3500 \n",
+       "z\n",
+       "M 603 4863 \n",
+       "L 1178 4863 \n",
+       "L 1178 4134 \n",
+       "L 603 4134 \n",
+       "L 603 4863 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-74\" d=\"M 1172 4494 \n",
+       "L 1172 3500 \n",
+       "L 2356 3500 \n",
+       "L 2356 3053 \n",
+       "L 1172 3053 \n",
+       "L 1172 1153 \n",
+       "Q 1172 725 1289 603 \n",
+       "Q 1406 481 1766 481 \n",
+       "L 2356 481 \n",
+       "L 2356 0 \n",
+       "L 1766 0 \n",
+       "Q 1100 0 847 248 \n",
+       "Q 594 497 594 1153 \n",
+       "L 594 3053 \n",
+       "L 172 3053 \n",
+       "L 172 3500 \n",
+       "L 594 3500 \n",
+       "L 594 4494 \n",
+       "L 1172 4494 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-75\" d=\"M 544 1381 \n",
+       "L 544 3500 \n",
+       "L 1119 3500 \n",
+       "L 1119 1403 \n",
+       "Q 1119 906 1312 657 \n",
+       "Q 1506 409 1894 409 \n",
+       "Q 2359 409 2629 706 \n",
+       "Q 2900 1003 2900 1516 \n",
+       "L 2900 3500 \n",
+       "L 3475 3500 \n",
+       "L 3475 0 \n",
+       "L 2900 0 \n",
+       "L 2900 538 \n",
+       "Q 2691 219 2414 64 \n",
+       "Q 2138 -91 1772 -91 \n",
+       "Q 1169 -91 856 284 \n",
+       "Q 544 659 544 1381 \n",
+       "z\n",
+       "M 1991 3584 \n",
+       "L 1991 3584 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-64\" d=\"M 2906 2969 \n",
+       "L 2906 4863 \n",
+       "L 3481 4863 \n",
+       "L 3481 0 \n",
+       "L 2906 0 \n",
+       "L 2906 525 \n",
+       "Q 2725 213 2448 61 \n",
+       "Q 2172 -91 1784 -91 \n",
+       "Q 1150 -91 751 415 \n",
+       "Q 353 922 353 1747 \n",
+       "Q 353 2572 751 3078 \n",
+       "Q 1150 3584 1784 3584 \n",
+       "Q 2172 3584 2448 3432 \n",
+       "Q 2725 3281 2906 2969 \n",
+       "z\n",
+       "M 947 1747 \n",
+       "Q 947 1113 1208 752 \n",
+       "Q 1469 391 1925 391 \n",
+       "Q 2381 391 2643 752 \n",
+       "Q 2906 1113 2906 1747 \n",
+       "Q 2906 2381 2643 2742 \n",
+       "Q 2381 3103 1925 3103 \n",
+       "Q 1469 3103 1208 2742 \n",
+       "Q 947 2381 947 1747 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-65\" d=\"M 3597 1894 \n",
+       "L 3597 1613 \n",
+       "L 953 1613 \n",
+       "Q 991 1019 1311 708 \n",
+       "Q 1631 397 2203 397 \n",
+       "Q 2534 397 2845 478 \n",
+       "Q 3156 559 3463 722 \n",
+       "L 3463 178 \n",
+       "Q 3153 47 2828 -22 \n",
+       "Q 2503 -91 2169 -91 \n",
+       "Q 1331 -91 842 396 \n",
+       "Q 353 884 353 1716 \n",
+       "Q 353 2575 817 3079 \n",
+       "Q 1281 3584 2069 3584 \n",
+       "Q 2775 3584 3186 3129 \n",
+       "Q 3597 2675 3597 1894 \n",
+       "z\n",
+       "M 3022 2063 \n",
+       "Q 3016 2534 2758 2815 \n",
+       "Q 2500 3097 2075 3097 \n",
+       "Q 1594 3097 1305 2825 \n",
+       "Q 1016 2553 972 2059 \n",
+       "L 3022 2063 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      </defs>\n",
+       "      <use xlink:href=\"#DejaVuSans-41\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6d\" x=\"68.408203\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-70\" x=\"165.820312\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6c\" x=\"229.296875\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-69\" x=\"257.080078\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-74\" x=\"284.863281\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-75\" x=\"324.072266\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-64\" x=\"387.451172\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-65\" x=\"450.927734\"/>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "   </g>\n",
+       "   <g id=\"line2d_18\">\n",
+       "    <path d=\"M 66.376477 276.334125 \n",
+       "L 391.031023 276.334125 \n",
+       "L 391.031023 276.334125 \n",
+       "\" clip-path=\"url(#pe0c4e9cc43)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"line2d_19\">\n",
+       "    <path d=\"M 66.376477 276.334125 \n",
+       "L 177.841205 276.235921 \n",
+       "L 184.334295 276.016655 \n",
+       "L 188.663023 275.699066 \n",
+       "L 192.99175 275.15097 \n",
+       "L 196.238295 274.533408 \n",
+       "L 199.484841 273.700964 \n",
+       "L 202.731386 272.634672 \n",
+       "L 205.977932 271.340386 \n",
+       "L 210.306659 269.333757 \n",
+       "L 217.881932 265.679833 \n",
+       "L 221.128477 264.401263 \n",
+       "L 223.292841 263.747567 \n",
+       "L 225.457205 263.291994 \n",
+       "L 227.621568 263.05806 \n",
+       "L 229.785932 263.05806 \n",
+       "L 231.950295 263.291994 \n",
+       "L 234.114659 263.747567 \n",
+       "L 236.279023 264.401263 \n",
+       "L 239.525568 265.679833 \n",
+       "L 243.854295 267.726663 \n",
+       "L 250.347386 270.864029 \n",
+       "L 253.593932 272.227385 \n",
+       "L 256.840477 273.371835 \n",
+       "L 260.087023 274.281137 \n",
+       "L 263.333568 274.96711 \n",
+       "L 266.580114 275.459567 \n",
+       "L 270.908841 275.881103 \n",
+       "L 276.31975 276.153988 \n",
+       "L 284.977205 276.301436 \n",
+       "L 307.703023 276.334029 \n",
+       "L 391.031023 276.334125 \n",
+       "L 391.031023 276.334125 \n",
+       "\" clip-path=\"url(#pe0c4e9cc43)\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"line2d_20\">\n",
+       "    <path d=\"M 66.376477 276.334125 \n",
+       "L 158.361932 276.230896 \n",
+       "L 163.772841 276.008811 \n",
+       "L 167.019386 275.714311 \n",
+       "L 170.265932 275.191606 \n",
+       "L 172.430295 274.647747 \n",
+       "L 174.594659 273.881304 \n",
+       "L 176.759023 272.818553 \n",
+       "L 178.923386 271.368828 \n",
+       "L 181.08775 269.423559 \n",
+       "L 182.169932 268.226288 \n",
+       "L 183.252114 266.856463 \n",
+       "L 184.334295 265.295824 \n",
+       "L 185.416477 263.525338 \n",
+       "L 186.498659 261.525368 \n",
+       "L 187.580841 259.275895 \n",
+       "L 188.663023 256.756764 \n",
+       "L 189.745205 253.94799 \n",
+       "L 191.909568 247.384466 \n",
+       "L 194.073932 239.44257 \n",
+       "L 196.238295 230.007607 \n",
+       "L 198.402659 219.00814 \n",
+       "L 200.567023 206.431645 \n",
+       "L 202.731386 192.339244 \n",
+       "L 204.89575 176.87784 \n",
+       "L 208.142295 151.671197 \n",
+       "L 215.717568 90.631931 \n",
+       "L 217.881932 75.002713 \n",
+       "L 220.046295 61.241647 \n",
+       "L 221.128477 55.233862 \n",
+       "L 222.210659 49.891548 \n",
+       "L 223.292841 45.270429 \n",
+       "L 224.375023 41.419456 \n",
+       "L 225.457205 38.379937 \n",
+       "L 226.539386 36.184803 \n",
+       "L 227.621568 34.858015 \n",
+       "L 228.70375 34.414125 \n",
+       "L 229.785932 34.858015 \n",
+       "L 230.868114 36.184803 \n",
+       "L 231.950295 38.379937 \n",
+       "L 233.032477 41.419456 \n",
+       "L 234.114659 45.270429 \n",
+       "L 235.196841 49.891548 \n",
+       "L 236.279023 55.233862 \n",
+       "L 238.443386 67.853364 \n",
+       "L 240.60775 82.619732 \n",
+       "L 242.772114 98.965428 \n",
+       "L 247.100841 134.047298 \n",
+       "L 251.429568 168.705167 \n",
+       "L 253.593932 184.766884 \n",
+       "L 255.758295 199.567879 \n",
+       "L 257.922659 212.915086 \n",
+       "L 260.087023 224.705781 \n",
+       "L 262.251386 234.917385 \n",
+       "L 264.41575 243.593813 \n",
+       "L 266.580114 250.83009 \n",
+       "L 268.744477 256.756764 \n",
+       "L 270.908841 261.525368 \n",
+       "L 273.073205 265.295824 \n",
+       "L 275.237568 268.226288 \n",
+       "L 277.401932 270.465626 \n",
+       "L 279.566295 272.148424 \n",
+       "L 281.730659 273.392221 \n",
+       "L 283.895023 274.296576 \n",
+       "L 286.059386 274.94351 \n",
+       "L 288.22375 275.398882 \n",
+       "L 291.470295 275.832317 \n",
+       "L 295.799023 276.126305 \n",
+       "L 302.292114 276.284516 \n",
+       "L 317.442659 276.333076 \n",
+       "L 391.031023 276.334125 \n",
+       "L 391.031023 276.334125 \n",
+       "\" clip-path=\"url(#pe0c4e9cc43)\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_3\">\n",
+       "    <path d=\"M 50.14375 288.430125 \n",
+       "L 50.14375 22.318125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_4\">\n",
+       "    <path d=\"M 407.26375 288.430125 \n",
+       "L 407.26375 22.318125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_5\">\n",
+       "    <path d=\"M 50.14375 288.430125 \n",
+       "L 407.26375 288.430125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_6\">\n",
+       "    <path d=\"M 50.14375 22.318125 \n",
+       "L 407.26375 22.318125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"text_19\">\n",
+       "    <!-- Input pulses -->\n",
+       "    <g transform=\"translate(192.039062 16.318125) scale(0.12 -0.12)\">\n",
+       "     <defs>\n",
+       "      <path id=\"DejaVuSans-49\" d=\"M 628 4666 \n",
+       "L 1259 4666 \n",
+       "L 1259 0 \n",
+       "L 628 0 \n",
+       "L 628 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-6e\" d=\"M 3513 2113 \n",
+       "L 3513 0 \n",
+       "L 2938 0 \n",
+       "L 2938 2094 \n",
+       "Q 2938 2591 2744 2837 \n",
+       "Q 2550 3084 2163 3084 \n",
+       "Q 1697 3084 1428 2787 \n",
+       "Q 1159 2491 1159 1978 \n",
+       "L 1159 0 \n",
+       "L 581 0 \n",
+       "L 581 3500 \n",
+       "L 1159 3500 \n",
+       "L 1159 2956 \n",
+       "Q 1366 3272 1645 3428 \n",
+       "Q 1925 3584 2291 3584 \n",
+       "Q 2894 3584 3203 3211 \n",
+       "Q 3513 2838 3513 2113 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-20\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-73\" d=\"M 2834 3397 \n",
+       "L 2834 2853 \n",
+       "Q 2591 2978 2328 3040 \n",
+       "Q 2066 3103 1784 3103 \n",
+       "Q 1356 3103 1142 2972 \n",
+       "Q 928 2841 928 2578 \n",
+       "Q 928 2378 1081 2264 \n",
+       "Q 1234 2150 1697 2047 \n",
+       "L 1894 2003 \n",
+       "Q 2506 1872 2764 1633 \n",
+       "Q 3022 1394 3022 966 \n",
+       "Q 3022 478 2636 193 \n",
+       "Q 2250 -91 1575 -91 \n",
+       "Q 1294 -91 989 -36 \n",
+       "Q 684 19 347 128 \n",
+       "L 347 722 \n",
+       "Q 666 556 975 473 \n",
+       "Q 1284 391 1588 391 \n",
+       "Q 1994 391 2212 530 \n",
+       "Q 2431 669 2431 922 \n",
+       "Q 2431 1156 2273 1281 \n",
+       "Q 2116 1406 1581 1522 \n",
+       "L 1381 1569 \n",
+       "Q 847 1681 609 1914 \n",
+       "Q 372 2147 372 2553 \n",
+       "Q 372 3047 722 3315 \n",
+       "Q 1072 3584 1716 3584 \n",
+       "Q 2034 3584 2315 3537 \n",
+       "Q 2597 3491 2834 3397 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "     </defs>\n",
+       "     <use xlink:href=\"#DejaVuSans-49\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-6e\" x=\"29.492188\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-70\" x=\"92.871094\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-75\" x=\"156.347656\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-74\" x=\"219.726562\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-20\" x=\"258.935547\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-70\" x=\"290.722656\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-75\" x=\"354.199219\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-6c\" x=\"417.578125\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-73\" x=\"445.361328\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-65\" x=\"497.460938\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-73\" x=\"558.984375\"/>\n",
+       "    </g>\n",
+       "   </g>\n",
+       "   <g id=\"legend_1\">\n",
+       "    <g id=\"patch_7\">\n",
+       "     <path d=\"M 57.14375 74.3525 \n",
+       "L 207.8125 74.3525 \n",
+       "Q 209.8125 74.3525 209.8125 72.3525 \n",
+       "L 209.8125 29.318125 \n",
+       "Q 209.8125 27.318125 207.8125 27.318125 \n",
+       "L 57.14375 27.318125 \n",
+       "Q 55.14375 27.318125 55.14375 29.318125 \n",
+       "L 55.14375 72.3525 \n",
+       "Q 55.14375 74.3525 57.14375 74.3525 \n",
+       "z\n",
+       "\" style=\"fill: #ffffff; opacity: 0.8; stroke: #cccccc; stroke-linejoin: miter\"/>\n",
+       "    </g>\n",
+       "    <g id=\"line2d_21\">\n",
+       "     <path d=\"M 59.14375 35.416562 \n",
+       "L 69.14375 35.416562 \n",
+       "L 79.14375 35.416562 \n",
+       "\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "    </g>\n",
+       "    <g id=\"text_20\">\n",
+       "     <!-- Initial $E_a$ -->\n",
+       "     <g transform=\"translate(87.14375 38.916562) scale(0.1 -0.1)\">\n",
+       "      <defs>\n",
+       "       <path id=\"DejaVuSans-61\" d=\"M 2194 1759 \n",
+       "Q 1497 1759 1228 1600 \n",
+       "Q 959 1441 959 1056 \n",
+       "Q 959 750 1161 570 \n",
+       "Q 1363 391 1709 391 \n",
+       "Q 2188 391 2477 730 \n",
+       "Q 2766 1069 2766 1631 \n",
+       "L 2766 1759 \n",
+       "L 2194 1759 \n",
+       "z\n",
+       "M 3341 1997 \n",
+       "L 3341 0 \n",
+       "L 2766 0 \n",
+       "L 2766 531 \n",
+       "Q 2569 213 2275 61 \n",
+       "Q 1981 -91 1556 -91 \n",
+       "Q 1019 -91 701 211 \n",
+       "Q 384 513 384 1019 \n",
+       "Q 384 1609 779 1909 \n",
+       "Q 1175 2209 1959 2209 \n",
+       "L 2766 2209 \n",
+       "L 2766 2266 \n",
+       "Q 2766 2663 2505 2880 \n",
+       "Q 2244 3097 1772 3097 \n",
+       "Q 1472 3097 1187 3025 \n",
+       "Q 903 2953 641 2809 \n",
+       "L 641 3341 \n",
+       "Q 956 3463 1253 3523 \n",
+       "Q 1550 3584 1831 3584 \n",
+       "Q 2591 3584 2966 3190 \n",
+       "Q 3341 2797 3341 1997 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-Oblique-45\" d=\"M 1081 4666 \n",
+       "L 4031 4666 \n",
+       "L 3928 4134 \n",
+       "L 1606 4134 \n",
+       "L 1338 2753 \n",
+       "L 3566 2753 \n",
+       "L 3463 2222 \n",
+       "L 1234 2222 \n",
+       "L 909 531 \n",
+       "L 3284 531 \n",
+       "L 3181 0 \n",
+       "L 172 0 \n",
+       "L 1081 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-Oblique-61\" d=\"M 3438 1997 \n",
+       "L 3047 0 \n",
+       "L 2472 0 \n",
+       "L 2578 531 \n",
+       "Q 2325 219 2001 64 \n",
+       "Q 1678 -91 1281 -91 \n",
+       "Q 834 -91 548 182 \n",
+       "Q 263 456 263 884 \n",
+       "Q 263 1497 752 1853 \n",
+       "Q 1241 2209 2100 2209 \n",
+       "L 2900 2209 \n",
+       "L 2931 2363 \n",
+       "Q 2938 2388 2941 2417 \n",
+       "Q 2944 2447 2944 2509 \n",
+       "Q 2944 2788 2717 2942 \n",
+       "Q 2491 3097 2081 3097 \n",
+       "Q 1800 3097 1504 3025 \n",
+       "Q 1209 2953 897 2809 \n",
+       "L 997 3341 \n",
+       "Q 1322 3463 1633 3523 \n",
+       "Q 1944 3584 2234 3584 \n",
+       "Q 2853 3584 3176 3315 \n",
+       "Q 3500 3047 3500 2534 \n",
+       "Q 3500 2431 3484 2292 \n",
+       "Q 3469 2153 3438 1997 \n",
+       "z\n",
+       "M 2816 1759 \n",
+       "L 2241 1759 \n",
+       "Q 1534 1759 1195 1570 \n",
+       "Q 856 1381 856 984 \n",
+       "Q 856 709 1029 553 \n",
+       "Q 1203 397 1509 397 \n",
+       "Q 1978 397 2328 733 \n",
+       "Q 2678 1069 2791 1631 \n",
+       "L 2816 1759 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      </defs>\n",
+       "      <use xlink:href=\"#DejaVuSans-49\" transform=\"translate(0 0.015625)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6e\" transform=\"translate(29.492188 0.015625)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-69\" transform=\"translate(92.871094 0.015625)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-74\" transform=\"translate(120.654297 0.015625)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-69\" transform=\"translate(159.863281 0.015625)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-61\" transform=\"translate(187.646484 0.015625)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6c\" transform=\"translate(248.925781 0.015625)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-20\" transform=\"translate(276.708984 0.015625)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-Oblique-45\" transform=\"translate(308.496094 0.015625)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-Oblique-61\" transform=\"translate(371.679688 -16.390625) scale(0.7)\"/>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"line2d_22\">\n",
+       "     <path d=\"M 59.14375 50.094687 \n",
+       "L 69.14375 50.094687 \n",
+       "L 79.14375 50.094687 \n",
+       "\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "    </g>\n",
+       "    <g id=\"text_21\">\n",
+       "     <!-- Initial $E_c$ -->\n",
+       "     <g transform=\"translate(87.14375 53.594687) scale(0.1 -0.1)\">\n",
+       "      <defs>\n",
+       "       <path id=\"DejaVuSans-Oblique-63\" d=\"M 3431 3366 \n",
+       "L 3316 2797 \n",
+       "Q 3109 2947 2876 3022 \n",
+       "Q 2644 3097 2394 3097 \n",
+       "Q 2119 3097 1870 3000 \n",
+       "Q 1622 2903 1453 2725 \n",
+       "Q 1184 2453 1037 2087 \n",
+       "Q 891 1722 891 1331 \n",
+       "Q 891 859 1127 628 \n",
+       "Q 1363 397 1844 397 \n",
+       "Q 2081 397 2348 469 \n",
+       "Q 2616 541 2906 684 \n",
+       "L 2797 116 \n",
+       "Q 2547 13 2283 -39 \n",
+       "Q 2019 -91 1741 -91 \n",
+       "Q 1044 -91 669 257 \n",
+       "Q 294 606 294 1253 \n",
+       "Q 294 1797 489 2255 \n",
+       "Q 684 2713 1069 3078 \n",
+       "Q 1331 3328 1684 3456 \n",
+       "Q 2038 3584 2456 3584 \n",
+       "Q 2700 3584 2940 3529 \n",
+       "Q 3181 3475 3431 3366 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      </defs>\n",
+       "      <use xlink:href=\"#DejaVuSans-49\" transform=\"translate(0 0.015625)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6e\" transform=\"translate(29.492188 0.015625)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-69\" transform=\"translate(92.871094 0.015625)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-74\" transform=\"translate(120.654297 0.015625)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-69\" transform=\"translate(159.863281 0.015625)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-61\" transform=\"translate(187.646484 0.015625)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6c\" transform=\"translate(248.925781 0.015625)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-20\" transform=\"translate(276.708984 0.015625)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-Oblique-45\" transform=\"translate(308.496094 0.015625)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-Oblique-63\" transform=\"translate(371.679688 -16.390625) scale(0.7)\"/>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"line2d_23\">\n",
+       "     <path d=\"M 59.14375 64.772812 \n",
+       "L 69.14375 64.772812 \n",
+       "L 79.14375 64.772812 \n",
+       "\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "    </g>\n",
+       "    <g id=\"text_22\">\n",
+       "     <!-- Normalized pump pulse -->\n",
+       "     <g transform=\"translate(87.14375 68.272812) scale(0.1 -0.1)\">\n",
+       "      <defs>\n",
+       "       <path id=\"DejaVuSans-4e\" d=\"M 628 4666 \n",
+       "L 1478 4666 \n",
+       "L 3547 763 \n",
+       "L 3547 4666 \n",
+       "L 4159 4666 \n",
+       "L 4159 0 \n",
+       "L 3309 0 \n",
+       "L 1241 3903 \n",
+       "L 1241 0 \n",
+       "L 628 0 \n",
+       "L 628 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-6f\" d=\"M 1959 3097 \n",
+       "Q 1497 3097 1228 2736 \n",
+       "Q 959 2375 959 1747 \n",
+       "Q 959 1119 1226 758 \n",
+       "Q 1494 397 1959 397 \n",
+       "Q 2419 397 2687 759 \n",
+       "Q 2956 1122 2956 1747 \n",
+       "Q 2956 2369 2687 2733 \n",
+       "Q 2419 3097 1959 3097 \n",
+       "z\n",
+       "M 1959 3584 \n",
+       "Q 2709 3584 3137 3096 \n",
+       "Q 3566 2609 3566 1747 \n",
+       "Q 3566 888 3137 398 \n",
+       "Q 2709 -91 1959 -91 \n",
+       "Q 1206 -91 779 398 \n",
+       "Q 353 888 353 1747 \n",
+       "Q 353 2609 779 3096 \n",
+       "Q 1206 3584 1959 3584 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-72\" d=\"M 2631 2963 \n",
+       "Q 2534 3019 2420 3045 \n",
+       "Q 2306 3072 2169 3072 \n",
+       "Q 1681 3072 1420 2755 \n",
+       "Q 1159 2438 1159 1844 \n",
+       "L 1159 0 \n",
+       "L 581 0 \n",
+       "L 581 3500 \n",
+       "L 1159 3500 \n",
+       "L 1159 2956 \n",
+       "Q 1341 3275 1631 3429 \n",
+       "Q 1922 3584 2338 3584 \n",
+       "Q 2397 3584 2469 3576 \n",
+       "Q 2541 3569 2628 3553 \n",
+       "L 2631 2963 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-7a\" d=\"M 353 3500 \n",
+       "L 3084 3500 \n",
+       "L 3084 2975 \n",
+       "L 922 459 \n",
+       "L 3084 459 \n",
+       "L 3084 0 \n",
+       "L 275 0 \n",
+       "L 275 525 \n",
+       "L 2438 3041 \n",
+       "L 353 3041 \n",
+       "L 353 3500 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      </defs>\n",
+       "      <use xlink:href=\"#DejaVuSans-4e\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6f\" x=\"74.804688\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-72\" x=\"135.986328\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6d\" x=\"175.349609\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-61\" x=\"272.761719\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6c\" x=\"334.041016\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-69\" x=\"361.824219\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-7a\" x=\"389.607422\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-65\" x=\"442.097656\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-64\" x=\"503.621094\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-20\" x=\"567.097656\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-70\" x=\"598.884766\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-75\" x=\"662.361328\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6d\" x=\"725.740234\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-70\" x=\"823.152344\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-20\" x=\"886.628906\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-70\" x=\"918.416016\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-75\" x=\"981.892578\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6c\" x=\"1045.271484\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-73\" x=\"1073.054688\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-65\" x=\"1125.154297\"/>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "   </g>\n",
+       "  </g>\n",
+       " </g>\n",
+       " <defs>\n",
+       "  <clipPath id=\"pe0c4e9cc43\">\n",
+       "   <rect x=\"50.14375\" y=\"22.318125\" width=\"357.12\" height=\"266.112\"/>\n",
+       "  </clipPath>\n",
+       " </defs>\n",
+       "</svg>\n"
+      ],
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plt.plot(dw, initial_Ea, label=\"Initial $E_a$\")\n",
+    "plt.plot(dw, initial_Ec, label=\"Initial $E_c$\")\n",
+    "plt.plot(dw, pulse_shape(dw, sig), label=\"Normalized pump pulse\")\n",
+    "plt.ylabel(\"Amplitude\")\n",
+    "plt.title(\"Input pulses\")\n",
+    "plt.legend(loc=\"upper left\")\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "To get what the output pulses look like, we do matrix multiplication with the propagator, with its phases removed."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 26,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "sol = remove_phases(prop, dw, L, vp, va, vc) @ np.concatenate((initial_Ea, initial_Ec))\n",
+    "Ea, Ec = np.split(sol, 2)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 27,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Text(0.5, 1.0, 'a beam / down-converted beam')"
+      ]
+     },
+     "execution_count": 27,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
+       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
+       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
+       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"429.205937pt\" height=\"325.986375pt\" viewBox=\"0 0 429.205937 325.986375\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
+       " <metadata>\n",
+       "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
+       "   <cc:Work>\n",
+       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
+       "    <dc:date>2024-08-11T12:57:50.546072</dc:date>\n",
+       "    <dc:format>image/svg+xml</dc:format>\n",
+       "    <dc:creator>\n",
+       "     <cc:Agent>\n",
+       "      <dc:title>Matplotlib v3.7.2, https://matplotlib.org/</dc:title>\n",
+       "     </cc:Agent>\n",
+       "    </dc:creator>\n",
+       "   </cc:Work>\n",
+       "  </rdf:RDF>\n",
+       " </metadata>\n",
+       " <defs>\n",
+       "  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: butt}</style>\n",
+       " </defs>\n",
+       " <g id=\"figure_1\">\n",
+       "  <g id=\"patch_1\">\n",
+       "   <path d=\"M 0 325.986375 \n",
+       "L 429.205937 325.986375 \n",
+       "L 429.205937 0 \n",
+       "L 0 0 \n",
+       "z\n",
+       "\" style=\"fill: #ffffff\"/>\n",
+       "  </g>\n",
+       "  <g id=\"axes_1\">\n",
+       "   <g id=\"patch_2\">\n",
+       "    <path d=\"M 64.885937 288.430125 \n",
+       "L 422.005938 288.430125 \n",
+       "L 422.005938 22.318125 \n",
+       "L 64.885937 22.318125 \n",
+       "z\n",
+       "\" style=\"fill: #ffffff\"/>\n",
+       "   </g>\n",
+       "   <g id=\"matplotlib.axis_1\">\n",
+       "    <g id=\"xtick_1\">\n",
+       "     <g id=\"line2d_1\">\n",
+       "      <defs>\n",
+       "       <path id=\"m02656912d6\" d=\"M 0 0 \n",
+       "L 0 3.5 \n",
+       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </defs>\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m02656912d6\" x=\"81.118665\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_1\">\n",
+       "      <!-- −10.0 -->\n",
+       "      <g transform=\"translate(65.796009 303.028562) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-2212\" d=\"M 678 2272 \n",
+       "L 4684 2272 \n",
+       "L 4684 1741 \n",
+       "L 678 1741 \n",
+       "L 678 2272 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "        <path id=\"DejaVuSans-31\" d=\"M 794 531 \n",
+       "L 1825 531 \n",
+       "L 1825 4091 \n",
+       "L 703 3866 \n",
+       "L 703 4441 \n",
+       "L 1819 4666 \n",
+       "L 2450 4666 \n",
+       "L 2450 531 \n",
+       "L 3481 531 \n",
+       "L 3481 0 \n",
+       "L 794 0 \n",
+       "L 794 531 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "        <path id=\"DejaVuSans-30\" d=\"M 2034 4250 \n",
+       "Q 1547 4250 1301 3770 \n",
+       "Q 1056 3291 1056 2328 \n",
+       "Q 1056 1369 1301 889 \n",
+       "Q 1547 409 2034 409 \n",
+       "Q 2525 409 2770 889 \n",
+       "Q 3016 1369 3016 2328 \n",
+       "Q 3016 3291 2770 3770 \n",
+       "Q 2525 4250 2034 4250 \n",
+       "z\n",
+       "M 2034 4750 \n",
+       "Q 2819 4750 3233 4129 \n",
+       "Q 3647 3509 3647 2328 \n",
+       "Q 3647 1150 3233 529 \n",
+       "Q 2819 -91 2034 -91 \n",
+       "Q 1250 -91 836 529 \n",
+       "Q 422 1150 422 2328 \n",
+       "Q 422 3509 836 4129 \n",
+       "Q 1250 4750 2034 4750 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "        <path id=\"DejaVuSans-2e\" d=\"M 684 794 \n",
+       "L 1344 794 \n",
+       "L 1344 0 \n",
+       "L 684 0 \n",
+       "L 684 794 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-31\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"211.035156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"242.822266\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_2\">\n",
+       "     <g id=\"line2d_2\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m02656912d6\" x=\"121.700483\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_2\">\n",
+       "      <!-- −7.5 -->\n",
+       "      <g transform=\"translate(109.559077 303.028562) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-37\" d=\"M 525 4666 \n",
+       "L 3525 4666 \n",
+       "L 3525 4397 \n",
+       "L 1831 0 \n",
+       "L 1172 0 \n",
+       "L 2766 4134 \n",
+       "L 525 4134 \n",
+       "L 525 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "        <path id=\"DejaVuSans-35\" d=\"M 691 4666 \n",
+       "L 3169 4666 \n",
+       "L 3169 4134 \n",
+       "L 1269 4134 \n",
+       "L 1269 2991 \n",
+       "Q 1406 3038 1543 3061 \n",
+       "Q 1681 3084 1819 3084 \n",
+       "Q 2600 3084 3056 2656 \n",
+       "Q 3513 2228 3513 1497 \n",
+       "Q 3513 744 3044 326 \n",
+       "Q 2575 -91 1722 -91 \n",
+       "Q 1428 -91 1123 -41 \n",
+       "Q 819 9 494 109 \n",
+       "L 494 744 \n",
+       "Q 775 591 1075 516 \n",
+       "Q 1375 441 1709 441 \n",
+       "Q 2250 441 2565 725 \n",
+       "Q 2881 1009 2881 1497 \n",
+       "Q 2881 1984 2565 2268 \n",
+       "Q 2250 2553 1709 2553 \n",
+       "Q 1456 2553 1204 2497 \n",
+       "Q 953 2441 691 2322 \n",
+       "L 691 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-37\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"179.199219\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_3\">\n",
+       "     <g id=\"line2d_3\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m02656912d6\" x=\"162.282301\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_3\">\n",
+       "      <!-- −5.0 -->\n",
+       "      <g transform=\"translate(150.140895 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"179.199219\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_4\">\n",
+       "     <g id=\"line2d_4\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m02656912d6\" x=\"202.864119\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_4\">\n",
+       "      <!-- −2.5 -->\n",
+       "      <g transform=\"translate(190.722713 303.028562) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-32\" d=\"M 1228 531 \n",
+       "L 3431 531 \n",
+       "L 3431 0 \n",
+       "L 469 0 \n",
+       "L 469 531 \n",
+       "Q 828 903 1448 1529 \n",
+       "Q 2069 2156 2228 2338 \n",
+       "Q 2531 2678 2651 2914 \n",
+       "Q 2772 3150 2772 3378 \n",
+       "Q 2772 3750 2511 3984 \n",
+       "Q 2250 4219 1831 4219 \n",
+       "Q 1534 4219 1204 4116 \n",
+       "Q 875 4013 500 3803 \n",
+       "L 500 4441 \n",
+       "Q 881 4594 1212 4672 \n",
+       "Q 1544 4750 1819 4750 \n",
+       "Q 2544 4750 2975 4387 \n",
+       "Q 3406 4025 3406 3419 \n",
+       "Q 3406 3131 3298 2873 \n",
+       "Q 3191 2616 2906 2266 \n",
+       "Q 2828 2175 2409 1742 \n",
+       "Q 1991 1309 1228 531 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-32\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"179.199219\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_5\">\n",
+       "     <g id=\"line2d_5\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m02656912d6\" x=\"243.445938\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_5\">\n",
+       "      <!-- 0.0 -->\n",
+       "      <g transform=\"translate(235.494375 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_6\">\n",
+       "     <g id=\"line2d_6\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m02656912d6\" x=\"284.027756\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_6\">\n",
+       "      <!-- 2.5 -->\n",
+       "      <g transform=\"translate(276.076193 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_7\">\n",
+       "     <g id=\"line2d_7\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m02656912d6\" x=\"324.609574\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_7\">\n",
+       "      <!-- 5.0 -->\n",
+       "      <g transform=\"translate(316.658011 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-35\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_8\">\n",
+       "     <g id=\"line2d_8\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m02656912d6\" x=\"365.191392\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_8\">\n",
+       "      <!-- 7.5 -->\n",
+       "      <g transform=\"translate(357.23983 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-37\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_9\">\n",
+       "     <g id=\"line2d_9\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m02656912d6\" x=\"405.77321\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_9\">\n",
+       "      <!-- 10.0 -->\n",
+       "      <g transform=\"translate(394.640398 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"127.246094\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"text_10\">\n",
+       "     <!-- $\\delta\\omega$ -->\n",
+       "     <g transform=\"translate(236.195938 316.706687) scale(0.1 -0.1)\">\n",
+       "      <defs>\n",
+       "       <path id=\"DejaVuSans-Oblique-3b4\" d=\"M 3472 4053 \n",
+       "Q 3197 4272 2450 4272 \n",
+       "Q 1659 4272 1588 3906 \n",
+       "Q 1531 3619 2328 3469 \n",
+       "Q 2953 3353 3253 3003 \n",
+       "Q 3616 2581 3447 1716 \n",
+       "Q 3284 888 2763 400 \n",
+       "Q 2238 -91 1488 -91 \n",
+       "Q 741 -91 406 400 \n",
+       "Q 72 888 241 1747 \n",
+       "Q 363 2384 891 2900 \n",
+       "Q 1097 3100 1353 3213 \n",
+       "Q 913 3459 1000 3900 \n",
+       "Q 1166 4750 2544 4750 \n",
+       "Q 3234 4750 3566 4531 \n",
+       "L 3472 4053 \n",
+       "z\n",
+       "M 1753 3056 \n",
+       "Q 1525 2966 1306 2738 \n",
+       "Q 969 2384 847 1747 \n",
+       "Q 722 1113 919 756 \n",
+       "Q 1119 397 1584 397 \n",
+       "Q 2044 397 2381 759 \n",
+       "Q 2722 1122 2838 1716 \n",
+       "Q 2956 2338 2731 2638 \n",
+       "Q 2491 2959 2103 2994 \n",
+       "Q 1906 3013 1753 3056 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-Oblique-3c9\" d=\"M 1369 -91 \n",
+       "Q 72 -91 434 1766 \n",
+       "Q 575 2500 1256 3500 \n",
+       "L 1875 3500 \n",
+       "Q 1231 2500 1088 1750 \n",
+       "Q 819 397 1519 397 \n",
+       "Q 2166 397 2478 2078 \n",
+       "L 3009 2078 \n",
+       "Q 2669 388 3316 397 \n",
+       "Q 4013 403 4275 1750 \n",
+       "Q 4419 2500 4169 3500 \n",
+       "L 4788 3500 \n",
+       "Q 5075 2500 4934 1766 \n",
+       "Q 4578 -94 3278 -91 \n",
+       "Q 2428 -88 2503 844 \n",
+       "Q 2194 -91 1369 -91 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      </defs>\n",
+       "      <use xlink:href=\"#DejaVuSans-Oblique-3b4\" transform=\"translate(0 0.78125)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-Oblique-3c9\" transform=\"translate(61.181641 0.78125)\"/>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "   </g>\n",
+       "   <g id=\"matplotlib.axis_2\">\n",
+       "    <g id=\"ytick_1\">\n",
+       "     <g id=\"line2d_10\">\n",
+       "      <defs>\n",
+       "       <path id=\"mef14cef2e9\" d=\"M 0 0 \n",
+       "L -3.5 0 \n",
+       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </defs>\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#mef14cef2e9\" x=\"64.885937\" y=\"259.085126\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_11\">\n",
+       "      <!-- −0.010 -->\n",
+       "      <g transform=\"translate(20.878125 262.884345) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"179.199219\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-31\" x=\"242.822266\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"306.445312\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_2\">\n",
+       "     <g id=\"line2d_11\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#mef14cef2e9\" x=\"64.885937\" y=\"207.229625\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_12\">\n",
+       "      <!-- −0.005 -->\n",
+       "      <g transform=\"translate(20.878125 211.028844) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"179.199219\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"242.822266\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"306.445312\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_3\">\n",
+       "     <g id=\"line2d_12\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#mef14cef2e9\" x=\"64.885937\" y=\"155.374125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_13\">\n",
+       "      <!-- 0.000 -->\n",
+       "      <g transform=\"translate(29.257812 159.173344) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"222.65625\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_4\">\n",
+       "     <g id=\"line2d_13\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#mef14cef2e9\" x=\"64.885937\" y=\"103.518625\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_14\">\n",
+       "      <!-- 0.005 -->\n",
+       "      <g transform=\"translate(29.257812 107.317843) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"222.65625\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_5\">\n",
+       "     <g id=\"line2d_14\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#mef14cef2e9\" x=\"64.885937\" y=\"51.663124\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_15\">\n",
+       "      <!-- 0.010 -->\n",
+       "      <g transform=\"translate(29.257812 55.462343) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-31\" x=\"159.033203\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"222.65625\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"text_16\">\n",
+       "     <!-- Amplitude -->\n",
+       "     <g transform=\"translate(14.798437 180.996781) rotate(-90) scale(0.1 -0.1)\">\n",
+       "      <defs>\n",
+       "       <path id=\"DejaVuSans-41\" d=\"M 2188 4044 \n",
+       "L 1331 1722 \n",
+       "L 3047 1722 \n",
+       "L 2188 4044 \n",
+       "z\n",
+       "M 1831 4666 \n",
+       "L 2547 4666 \n",
+       "L 4325 0 \n",
+       "L 3669 0 \n",
+       "L 3244 1197 \n",
+       "L 1141 1197 \n",
+       "L 716 0 \n",
+       "L 50 0 \n",
+       "L 1831 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-6d\" d=\"M 3328 2828 \n",
+       "Q 3544 3216 3844 3400 \n",
+       "Q 4144 3584 4550 3584 \n",
+       "Q 5097 3584 5394 3201 \n",
+       "Q 5691 2819 5691 2113 \n",
+       "L 5691 0 \n",
+       "L 5113 0 \n",
+       "L 5113 2094 \n",
+       "Q 5113 2597 4934 2840 \n",
+       "Q 4756 3084 4391 3084 \n",
+       "Q 3944 3084 3684 2787 \n",
+       "Q 3425 2491 3425 1978 \n",
+       "L 3425 0 \n",
+       "L 2847 0 \n",
+       "L 2847 2094 \n",
+       "Q 2847 2600 2669 2842 \n",
+       "Q 2491 3084 2119 3084 \n",
+       "Q 1678 3084 1418 2786 \n",
+       "Q 1159 2488 1159 1978 \n",
+       "L 1159 0 \n",
+       "L 581 0 \n",
+       "L 581 3500 \n",
+       "L 1159 3500 \n",
+       "L 1159 2956 \n",
+       "Q 1356 3278 1631 3431 \n",
+       "Q 1906 3584 2284 3584 \n",
+       "Q 2666 3584 2933 3390 \n",
+       "Q 3200 3197 3328 2828 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-70\" d=\"M 1159 525 \n",
+       "L 1159 -1331 \n",
+       "L 581 -1331 \n",
+       "L 581 3500 \n",
+       "L 1159 3500 \n",
+       "L 1159 2969 \n",
+       "Q 1341 3281 1617 3432 \n",
+       "Q 1894 3584 2278 3584 \n",
+       "Q 2916 3584 3314 3078 \n",
+       "Q 3713 2572 3713 1747 \n",
+       "Q 3713 922 3314 415 \n",
+       "Q 2916 -91 2278 -91 \n",
+       "Q 1894 -91 1617 61 \n",
+       "Q 1341 213 1159 525 \n",
+       "z\n",
+       "M 3116 1747 \n",
+       "Q 3116 2381 2855 2742 \n",
+       "Q 2594 3103 2138 3103 \n",
+       "Q 1681 3103 1420 2742 \n",
+       "Q 1159 2381 1159 1747 \n",
+       "Q 1159 1113 1420 752 \n",
+       "Q 1681 391 2138 391 \n",
+       "Q 2594 391 2855 752 \n",
+       "Q 3116 1113 3116 1747 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-6c\" d=\"M 603 4863 \n",
+       "L 1178 4863 \n",
+       "L 1178 0 \n",
+       "L 603 0 \n",
+       "L 603 4863 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-69\" d=\"M 603 3500 \n",
+       "L 1178 3500 \n",
+       "L 1178 0 \n",
+       "L 603 0 \n",
+       "L 603 3500 \n",
+       "z\n",
+       "M 603 4863 \n",
+       "L 1178 4863 \n",
+       "L 1178 4134 \n",
+       "L 603 4134 \n",
+       "L 603 4863 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-74\" d=\"M 1172 4494 \n",
+       "L 1172 3500 \n",
+       "L 2356 3500 \n",
+       "L 2356 3053 \n",
+       "L 1172 3053 \n",
+       "L 1172 1153 \n",
+       "Q 1172 725 1289 603 \n",
+       "Q 1406 481 1766 481 \n",
+       "L 2356 481 \n",
+       "L 2356 0 \n",
+       "L 1766 0 \n",
+       "Q 1100 0 847 248 \n",
+       "Q 594 497 594 1153 \n",
+       "L 594 3053 \n",
+       "L 172 3053 \n",
+       "L 172 3500 \n",
+       "L 594 3500 \n",
+       "L 594 4494 \n",
+       "L 1172 4494 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-75\" d=\"M 544 1381 \n",
+       "L 544 3500 \n",
+       "L 1119 3500 \n",
+       "L 1119 1403 \n",
+       "Q 1119 906 1312 657 \n",
+       "Q 1506 409 1894 409 \n",
+       "Q 2359 409 2629 706 \n",
+       "Q 2900 1003 2900 1516 \n",
+       "L 2900 3500 \n",
+       "L 3475 3500 \n",
+       "L 3475 0 \n",
+       "L 2900 0 \n",
+       "L 2900 538 \n",
+       "Q 2691 219 2414 64 \n",
+       "Q 2138 -91 1772 -91 \n",
+       "Q 1169 -91 856 284 \n",
+       "Q 544 659 544 1381 \n",
+       "z\n",
+       "M 1991 3584 \n",
+       "L 1991 3584 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-64\" d=\"M 2906 2969 \n",
+       "L 2906 4863 \n",
+       "L 3481 4863 \n",
+       "L 3481 0 \n",
+       "L 2906 0 \n",
+       "L 2906 525 \n",
+       "Q 2725 213 2448 61 \n",
+       "Q 2172 -91 1784 -91 \n",
+       "Q 1150 -91 751 415 \n",
+       "Q 353 922 353 1747 \n",
+       "Q 353 2572 751 3078 \n",
+       "Q 1150 3584 1784 3584 \n",
+       "Q 2172 3584 2448 3432 \n",
+       "Q 2725 3281 2906 2969 \n",
+       "z\n",
+       "M 947 1747 \n",
+       "Q 947 1113 1208 752 \n",
+       "Q 1469 391 1925 391 \n",
+       "Q 2381 391 2643 752 \n",
+       "Q 2906 1113 2906 1747 \n",
+       "Q 2906 2381 2643 2742 \n",
+       "Q 2381 3103 1925 3103 \n",
+       "Q 1469 3103 1208 2742 \n",
+       "Q 947 2381 947 1747 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-65\" d=\"M 3597 1894 \n",
+       "L 3597 1613 \n",
+       "L 953 1613 \n",
+       "Q 991 1019 1311 708 \n",
+       "Q 1631 397 2203 397 \n",
+       "Q 2534 397 2845 478 \n",
+       "Q 3156 559 3463 722 \n",
+       "L 3463 178 \n",
+       "Q 3153 47 2828 -22 \n",
+       "Q 2503 -91 2169 -91 \n",
+       "Q 1331 -91 842 396 \n",
+       "Q 353 884 353 1716 \n",
+       "Q 353 2575 817 3079 \n",
+       "Q 1281 3584 2069 3584 \n",
+       "Q 2775 3584 3186 3129 \n",
+       "Q 3597 2675 3597 1894 \n",
+       "z\n",
+       "M 3022 2063 \n",
+       "Q 3016 2534 2758 2815 \n",
+       "Q 2500 3097 2075 3097 \n",
+       "Q 1594 3097 1305 2825 \n",
+       "Q 1016 2553 972 2059 \n",
+       "L 3022 2063 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      </defs>\n",
+       "      <use xlink:href=\"#DejaVuSans-41\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6d\" x=\"68.408203\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-70\" x=\"165.820312\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6c\" x=\"229.296875\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-69\" x=\"257.080078\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-74\" x=\"284.863281\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-75\" x=\"324.072266\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-64\" x=\"387.451172\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-65\" x=\"450.927734\"/>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "   </g>\n",
+       "   <g id=\"line2d_15\">\n",
+       "    <path d=\"M 81.118665 155.374123 \n",
+       "L 162.282301 155.271604 \n",
+       "L 178.515028 154.96748 \n",
+       "L 181.761574 154.611634 \n",
+       "L 183.925938 154.186465 \n",
+       "L 186.090301 153.563849 \n",
+       "L 188.254665 152.71834 \n",
+       "L 190.419028 151.64877 \n",
+       "L 193.665574 149.700057 \n",
+       "L 200.158665 145.536582 \n",
+       "L 203.40521 143.851904 \n",
+       "L 208.816119 141.277814 \n",
+       "L 209.898301 140.578133 \n",
+       "L 210.980483 139.730638 \n",
+       "L 212.062665 138.694045 \n",
+       "L 213.144847 137.428728 \n",
+       "L 214.227028 135.899386 \n",
+       "L 215.30921 134.077864 \n",
+       "L 216.391392 131.94599 \n",
+       "L 217.473574 129.498259 \n",
+       "L 219.637938 123.710279 \n",
+       "L 221.802301 116.999728 \n",
+       "L 225.048847 106.536859 \n",
+       "L 226.131028 103.373863 \n",
+       "L 227.21321 100.583535 \n",
+       "L 228.295392 98.297809 \n",
+       "L 229.377574 96.645161 \n",
+       "L 230.459756 95.744983 \n",
+       "L 231.541937 95.701966 \n",
+       "L 232.624119 96.600778 \n",
+       "L 233.706301 98.501322 \n",
+       "L 234.788483 101.434833 \n",
+       "L 235.870665 105.401061 \n",
+       "L 236.952847 110.366708 \n",
+       "L 238.035028 116.265255 \n",
+       "L 239.11721 122.998241 \n",
+       "L 241.281574 138.431461 \n",
+       "L 246.692483 180.310297 \n",
+       "L 248.856847 194.482995 \n",
+       "L 249.939028 200.381542 \n",
+       "L 251.02121 205.347189 \n",
+       "L 252.103392 209.313417 \n",
+       "L 253.185574 212.246928 \n",
+       "L 254.267756 214.147472 \n",
+       "L 255.349938 215.046284 \n",
+       "L 256.432119 215.003267 \n",
+       "L 257.514301 214.103089 \n",
+       "L 258.596483 212.450441 \n",
+       "L 259.678665 210.164715 \n",
+       "L 260.760847 207.374387 \n",
+       "L 262.92521 200.80575 \n",
+       "L 267.253938 187.037971 \n",
+       "L 269.418301 181.249991 \n",
+       "L 270.500483 178.80226 \n",
+       "L 271.582665 176.670386 \n",
+       "L 272.664847 174.848864 \n",
+       "L 273.747028 173.319522 \n",
+       "L 274.82921 172.054205 \n",
+       "L 275.911392 171.017612 \n",
+       "L 276.993574 170.170117 \n",
+       "L 279.157938 168.878015 \n",
+       "L 286.73321 165.211668 \n",
+       "L 289.979756 163.190566 \n",
+       "L 295.390665 159.7101 \n",
+       "L 297.555028 158.537796 \n",
+       "L 299.719392 157.578545 \n",
+       "L 301.883756 156.846365 \n",
+       "L 304.048119 156.326789 \n",
+       "L 306.212483 155.985942 \n",
+       "L 309.459028 155.715359 \n",
+       "L 314.869937 155.580474 \n",
+       "L 346.25321 155.376379 \n",
+       "L 405.77321 155.374127 \n",
+       "L 405.77321 155.374127 \n",
+       "\" clip-path=\"url(#pd4d9c94c16)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"line2d_16\">\n",
+       "    <path d=\"M 81.118665 155.374125 \n",
+       "L 177.432847 155.310209 \n",
+       "L 182.843756 154.897639 \n",
+       "L 187.172483 154.581978 \n",
+       "L 189.336847 154.579861 \n",
+       "L 191.50121 154.781106 \n",
+       "L 193.665574 155.254012 \n",
+       "L 195.829937 156.040768 \n",
+       "L 197.994301 157.139868 \n",
+       "L 200.158665 158.494275 \n",
+       "L 205.569574 162.164036 \n",
+       "L 207.733938 163.341363 \n",
+       "L 209.898301 164.196612 \n",
+       "L 212.062665 164.768768 \n",
+       "L 215.30921 165.580997 \n",
+       "L 216.391392 166.036867 \n",
+       "L 217.473574 166.695131 \n",
+       "L 218.555756 167.631351 \n",
+       "L 219.637938 168.923508 \n",
+       "L 220.720119 170.648407 \n",
+       "L 221.802301 172.877683 \n",
+       "L 222.884483 175.673619 \n",
+       "L 223.966665 179.084958 \n",
+       "L 225.048847 183.142947 \n",
+       "L 226.131028 187.857839 \n",
+       "L 227.21321 193.216075 \n",
+       "L 229.377574 205.678754 \n",
+       "L 231.541937 219.900143 \n",
+       "L 235.870665 249.267578 \n",
+       "L 238.035028 261.705152 \n",
+       "L 239.11721 266.76554 \n",
+       "L 240.199392 270.859592 \n",
+       "L 241.281574 273.871228 \n",
+       "L 242.363756 275.713884 \n",
+       "L 243.445938 276.334125 \n",
+       "L 244.528119 275.713884 \n",
+       "L 245.610301 273.871228 \n",
+       "L 246.692483 270.859592 \n",
+       "L 247.774665 266.76554 \n",
+       "L 248.856847 261.705152 \n",
+       "L 249.939028 255.819233 \n",
+       "L 252.103392 242.222599 \n",
+       "L 257.514301 205.678754 \n",
+       "L 259.678665 193.216075 \n",
+       "L 260.760847 187.857839 \n",
+       "L 261.843028 183.142947 \n",
+       "L 262.92521 179.084958 \n",
+       "L 264.007392 175.673619 \n",
+       "L 265.089574 172.877683 \n",
+       "L 266.171756 170.648407 \n",
+       "L 267.253938 168.923508 \n",
+       "L 268.336119 167.631351 \n",
+       "L 269.418301 166.695131 \n",
+       "L 270.500483 166.036867 \n",
+       "L 271.582665 165.580997 \n",
+       "L 273.747028 165.004176 \n",
+       "L 276.993574 164.196612 \n",
+       "L 279.157938 163.341363 \n",
+       "L 281.322301 162.164036 \n",
+       "L 284.568847 159.991016 \n",
+       "L 287.815392 157.791004 \n",
+       "L 289.979756 156.553465 \n",
+       "L 292.144119 155.607048 \n",
+       "L 294.308483 154.980132 \n",
+       "L 296.472847 154.650404 \n",
+       "L 298.63721 154.560277 \n",
+       "L 301.883756 154.711127 \n",
+       "L 310.54121 155.36076 \n",
+       "L 315.952119 155.455142 \n",
+       "L 380.883028 155.374096 \n",
+       "L 405.77321 155.374125 \n",
+       "L 405.77321 155.374125 \n",
+       "\" clip-path=\"url(#pd4d9c94c16)\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"line2d_17\">\n",
+       "    <path d=\"M 81.118665 155.374123 \n",
+       "L 162.282301 155.270915 \n",
+       "L 178.515028 154.948188 \n",
+       "L 181.761574 154.522517 \n",
+       "L 183.925938 154.055416 \n",
+       "L 186.090301 153.418894 \n",
+       "L 188.254665 152.596438 \n",
+       "L 190.419028 151.579123 \n",
+       "L 192.583392 150.370052 \n",
+       "L 195.829937 148.242723 \n",
+       "L 201.240847 144.243713 \n",
+       "L 205.569574 141.15436 \n",
+       "L 209.898301 138.147469 \n",
+       "L 212.062665 136.230343 \n",
+       "L 213.144847 135.008096 \n",
+       "L 214.227028 133.535034 \n",
+       "L 215.30921 131.75822 \n",
+       "L 216.391392 129.633659 \n",
+       "L 217.473574 127.130088 \n",
+       "L 218.555756 124.230718 \n",
+       "L 219.637938 120.93309 \n",
+       "L 221.802301 113.1963 \n",
+       "L 223.966665 104.127309 \n",
+       "L 226.131028 94.061656 \n",
+       "L 233.706301 57.635019 \n",
+       "L 235.870665 49.010185 \n",
+       "L 236.952847 45.306476 \n",
+       "L 238.035028 42.078975 \n",
+       "L 239.11721 39.373068 \n",
+       "L 240.199392 37.227158 \n",
+       "L 241.281574 35.671923 \n",
+       "L 242.363756 34.729715 \n",
+       "L 243.445938 34.414125 \n",
+       "L 244.528119 34.729715 \n",
+       "L 245.610301 35.671923 \n",
+       "L 246.692483 37.227158 \n",
+       "L 247.774665 39.373068 \n",
+       "L 248.856847 42.078975 \n",
+       "L 249.939028 45.306476 \n",
+       "L 251.02121 49.010185 \n",
+       "L 253.185574 57.635019 \n",
+       "L 255.349938 67.485709 \n",
+       "L 264.007392 108.809861 \n",
+       "L 266.171756 117.247725 \n",
+       "L 268.336119 124.230718 \n",
+       "L 269.418301 127.130088 \n",
+       "L 270.500483 129.633659 \n",
+       "L 271.582665 131.75822 \n",
+       "L 272.664847 133.535034 \n",
+       "L 273.747028 135.008096 \n",
+       "L 274.82921 136.230343 \n",
+       "L 276.993574 138.147469 \n",
+       "L 280.240119 140.424168 \n",
+       "L 284.568847 143.444319 \n",
+       "L 292.144119 148.987973 \n",
+       "L 295.390665 150.997785 \n",
+       "L 297.555028 152.112274 \n",
+       "L 299.719392 153.031698 \n",
+       "L 301.883756 153.759487 \n",
+       "L 304.048119 154.308945 \n",
+       "L 307.294665 154.839688 \n",
+       "L 310.54121 155.07993 \n",
+       "L 317.034301 155.17268 \n",
+       "L 345.171028 155.370734 \n",
+       "L 405.77321 155.374123 \n",
+       "L 405.77321 155.374123 \n",
+       "\" clip-path=\"url(#pd4d9c94c16)\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_3\">\n",
+       "    <path d=\"M 64.885937 288.430125 \n",
+       "L 64.885937 22.318125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_4\">\n",
+       "    <path d=\"M 422.005938 288.430125 \n",
+       "L 422.005938 22.318125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_5\">\n",
+       "    <path d=\"M 64.885938 288.430125 \n",
+       "L 422.005938 288.430125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_6\">\n",
+       "    <path d=\"M 64.885938 22.318125 \n",
+       "L 422.005938 22.318125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"text_17\">\n",
+       "    <!-- a beam / down-converted beam -->\n",
+       "    <g transform=\"translate(147.385938 16.318125) scale(0.12 -0.12)\">\n",
+       "     <defs>\n",
+       "      <path id=\"DejaVuSans-61\" d=\"M 2194 1759 \n",
+       "Q 1497 1759 1228 1600 \n",
+       "Q 959 1441 959 1056 \n",
+       "Q 959 750 1161 570 \n",
+       "Q 1363 391 1709 391 \n",
+       "Q 2188 391 2477 730 \n",
+       "Q 2766 1069 2766 1631 \n",
+       "L 2766 1759 \n",
+       "L 2194 1759 \n",
+       "z\n",
+       "M 3341 1997 \n",
+       "L 3341 0 \n",
+       "L 2766 0 \n",
+       "L 2766 531 \n",
+       "Q 2569 213 2275 61 \n",
+       "Q 1981 -91 1556 -91 \n",
+       "Q 1019 -91 701 211 \n",
+       "Q 384 513 384 1019 \n",
+       "Q 384 1609 779 1909 \n",
+       "Q 1175 2209 1959 2209 \n",
+       "L 2766 2209 \n",
+       "L 2766 2266 \n",
+       "Q 2766 2663 2505 2880 \n",
+       "Q 2244 3097 1772 3097 \n",
+       "Q 1472 3097 1187 3025 \n",
+       "Q 903 2953 641 2809 \n",
+       "L 641 3341 \n",
+       "Q 956 3463 1253 3523 \n",
+       "Q 1550 3584 1831 3584 \n",
+       "Q 2591 3584 2966 3190 \n",
+       "Q 3341 2797 3341 1997 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-20\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-62\" d=\"M 3116 1747 \n",
+       "Q 3116 2381 2855 2742 \n",
+       "Q 2594 3103 2138 3103 \n",
+       "Q 1681 3103 1420 2742 \n",
+       "Q 1159 2381 1159 1747 \n",
+       "Q 1159 1113 1420 752 \n",
+       "Q 1681 391 2138 391 \n",
+       "Q 2594 391 2855 752 \n",
+       "Q 3116 1113 3116 1747 \n",
+       "z\n",
+       "M 1159 2969 \n",
+       "Q 1341 3281 1617 3432 \n",
+       "Q 1894 3584 2278 3584 \n",
+       "Q 2916 3584 3314 3078 \n",
+       "Q 3713 2572 3713 1747 \n",
+       "Q 3713 922 3314 415 \n",
+       "Q 2916 -91 2278 -91 \n",
+       "Q 1894 -91 1617 61 \n",
+       "Q 1341 213 1159 525 \n",
+       "L 1159 0 \n",
+       "L 581 0 \n",
+       "L 581 4863 \n",
+       "L 1159 4863 \n",
+       "L 1159 2969 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-2f\" d=\"M 1625 4666 \n",
+       "L 2156 4666 \n",
+       "L 531 -594 \n",
+       "L 0 -594 \n",
+       "L 1625 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-6f\" d=\"M 1959 3097 \n",
+       "Q 1497 3097 1228 2736 \n",
+       "Q 959 2375 959 1747 \n",
+       "Q 959 1119 1226 758 \n",
+       "Q 1494 397 1959 397 \n",
+       "Q 2419 397 2687 759 \n",
+       "Q 2956 1122 2956 1747 \n",
+       "Q 2956 2369 2687 2733 \n",
+       "Q 2419 3097 1959 3097 \n",
+       "z\n",
+       "M 1959 3584 \n",
+       "Q 2709 3584 3137 3096 \n",
+       "Q 3566 2609 3566 1747 \n",
+       "Q 3566 888 3137 398 \n",
+       "Q 2709 -91 1959 -91 \n",
+       "Q 1206 -91 779 398 \n",
+       "Q 353 888 353 1747 \n",
+       "Q 353 2609 779 3096 \n",
+       "Q 1206 3584 1959 3584 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-77\" d=\"M 269 3500 \n",
+       "L 844 3500 \n",
+       "L 1563 769 \n",
+       "L 2278 3500 \n",
+       "L 2956 3500 \n",
+       "L 3675 769 \n",
+       "L 4391 3500 \n",
+       "L 4966 3500 \n",
+       "L 4050 0 \n",
+       "L 3372 0 \n",
+       "L 2619 2869 \n",
+       "L 1863 0 \n",
+       "L 1184 0 \n",
+       "L 269 3500 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-6e\" d=\"M 3513 2113 \n",
+       "L 3513 0 \n",
+       "L 2938 0 \n",
+       "L 2938 2094 \n",
+       "Q 2938 2591 2744 2837 \n",
+       "Q 2550 3084 2163 3084 \n",
+       "Q 1697 3084 1428 2787 \n",
+       "Q 1159 2491 1159 1978 \n",
+       "L 1159 0 \n",
+       "L 581 0 \n",
+       "L 581 3500 \n",
+       "L 1159 3500 \n",
+       "L 1159 2956 \n",
+       "Q 1366 3272 1645 3428 \n",
+       "Q 1925 3584 2291 3584 \n",
+       "Q 2894 3584 3203 3211 \n",
+       "Q 3513 2838 3513 2113 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-2d\" d=\"M 313 2009 \n",
+       "L 1997 2009 \n",
+       "L 1997 1497 \n",
+       "L 313 1497 \n",
+       "L 313 2009 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-63\" d=\"M 3122 3366 \n",
+       "L 3122 2828 \n",
+       "Q 2878 2963 2633 3030 \n",
+       "Q 2388 3097 2138 3097 \n",
+       "Q 1578 3097 1268 2742 \n",
+       "Q 959 2388 959 1747 \n",
+       "Q 959 1106 1268 751 \n",
+       "Q 1578 397 2138 397 \n",
+       "Q 2388 397 2633 464 \n",
+       "Q 2878 531 3122 666 \n",
+       "L 3122 134 \n",
+       "Q 2881 22 2623 -34 \n",
+       "Q 2366 -91 2075 -91 \n",
+       "Q 1284 -91 818 406 \n",
+       "Q 353 903 353 1747 \n",
+       "Q 353 2603 823 3093 \n",
+       "Q 1294 3584 2113 3584 \n",
+       "Q 2378 3584 2631 3529 \n",
+       "Q 2884 3475 3122 3366 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-76\" d=\"M 191 3500 \n",
+       "L 800 3500 \n",
+       "L 1894 563 \n",
+       "L 2988 3500 \n",
+       "L 3597 3500 \n",
+       "L 2284 0 \n",
+       "L 1503 0 \n",
+       "L 191 3500 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-72\" d=\"M 2631 2963 \n",
+       "Q 2534 3019 2420 3045 \n",
+       "Q 2306 3072 2169 3072 \n",
+       "Q 1681 3072 1420 2755 \n",
+       "Q 1159 2438 1159 1844 \n",
+       "L 1159 0 \n",
+       "L 581 0 \n",
+       "L 581 3500 \n",
+       "L 1159 3500 \n",
+       "L 1159 2956 \n",
+       "Q 1341 3275 1631 3429 \n",
+       "Q 1922 3584 2338 3584 \n",
+       "Q 2397 3584 2469 3576 \n",
+       "Q 2541 3569 2628 3553 \n",
+       "L 2631 2963 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "     </defs>\n",
+       "     <use xlink:href=\"#DejaVuSans-61\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-20\" x=\"61.279297\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-62\" x=\"93.066406\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-65\" x=\"156.542969\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-61\" x=\"218.066406\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-6d\" x=\"279.345703\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-20\" x=\"376.757812\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-2f\" x=\"408.544922\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-20\" x=\"442.236328\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-64\" x=\"474.023438\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-6f\" x=\"537.5\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-77\" x=\"598.681641\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-6e\" x=\"680.46875\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-2d\" x=\"743.847656\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-63\" x=\"779.931641\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-6f\" x=\"834.912109\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-6e\" x=\"896.09375\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-76\" x=\"959.472656\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-65\" x=\"1018.652344\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-72\" x=\"1080.175781\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-74\" x=\"1121.289062\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-65\" x=\"1160.498047\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-64\" x=\"1222.021484\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-20\" x=\"1285.498047\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-62\" x=\"1317.285156\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-65\" x=\"1380.761719\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-61\" x=\"1442.285156\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-6d\" x=\"1503.564453\"/>\n",
+       "    </g>\n",
+       "   </g>\n",
+       "   <g id=\"legend_1\">\n",
+       "    <g id=\"patch_7\">\n",
+       "     <path d=\"M 364.6075 74.3525 \n",
+       "L 415.005938 74.3525 \n",
+       "Q 417.005938 74.3525 417.005938 72.3525 \n",
+       "L 417.005938 29.318125 \n",
+       "Q 417.005938 27.318125 415.005938 27.318125 \n",
+       "L 364.6075 27.318125 \n",
+       "Q 362.6075 27.318125 362.6075 29.318125 \n",
+       "L 362.6075 72.3525 \n",
+       "Q 362.6075 74.3525 364.6075 74.3525 \n",
+       "z\n",
+       "\" style=\"fill: #ffffff; opacity: 0.8; stroke: #cccccc; stroke-linejoin: miter\"/>\n",
+       "    </g>\n",
+       "    <g id=\"line2d_18\">\n",
+       "     <path d=\"M 366.6075 35.416562 \n",
+       "L 376.6075 35.416562 \n",
+       "L 386.6075 35.416562 \n",
+       "\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "    </g>\n",
+       "    <g id=\"text_18\">\n",
+       "     <!-- Re -->\n",
+       "     <g transform=\"translate(394.6075 38.916562) scale(0.1 -0.1)\">\n",
+       "      <defs>\n",
+       "       <path id=\"DejaVuSans-52\" d=\"M 2841 2188 \n",
+       "Q 3044 2119 3236 1894 \n",
+       "Q 3428 1669 3622 1275 \n",
+       "L 4263 0 \n",
+       "L 3584 0 \n",
+       "L 2988 1197 \n",
+       "Q 2756 1666 2539 1819 \n",
+       "Q 2322 1972 1947 1972 \n",
+       "L 1259 1972 \n",
+       "L 1259 0 \n",
+       "L 628 0 \n",
+       "L 628 4666 \n",
+       "L 2053 4666 \n",
+       "Q 2853 4666 3247 4331 \n",
+       "Q 3641 3997 3641 3322 \n",
+       "Q 3641 2881 3436 2590 \n",
+       "Q 3231 2300 2841 2188 \n",
+       "z\n",
+       "M 1259 4147 \n",
+       "L 1259 2491 \n",
+       "L 2053 2491 \n",
+       "Q 2509 2491 2742 2702 \n",
+       "Q 2975 2913 2975 3322 \n",
+       "Q 2975 3731 2742 3939 \n",
+       "Q 2509 4147 2053 4147 \n",
+       "L 1259 4147 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      </defs>\n",
+       "      <use xlink:href=\"#DejaVuSans-52\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-65\" x=\"64.982422\"/>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"line2d_19\">\n",
+       "     <path d=\"M 366.6075 50.094688 \n",
+       "L 376.6075 50.094688 \n",
+       "L 386.6075 50.094688 \n",
+       "\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "    </g>\n",
+       "    <g id=\"text_19\">\n",
+       "     <!-- Im -->\n",
+       "     <g transform=\"translate(394.6075 53.594688) scale(0.1 -0.1)\">\n",
+       "      <defs>\n",
+       "       <path id=\"DejaVuSans-49\" d=\"M 628 4666 \n",
+       "L 1259 4666 \n",
+       "L 1259 0 \n",
+       "L 628 0 \n",
+       "L 628 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      </defs>\n",
+       "      <use xlink:href=\"#DejaVuSans-49\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6d\" x=\"29.492188\"/>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"line2d_20\">\n",
+       "     <path d=\"M 366.6075 64.772812 \n",
+       "L 376.6075 64.772812 \n",
+       "L 386.6075 64.772812 \n",
+       "\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "    </g>\n",
+       "    <g id=\"text_20\">\n",
+       "     <!-- Abs -->\n",
+       "     <g transform=\"translate(394.6075 68.272812) scale(0.1 -0.1)\">\n",
+       "      <defs>\n",
+       "       <path id=\"DejaVuSans-73\" d=\"M 2834 3397 \n",
+       "L 2834 2853 \n",
+       "Q 2591 2978 2328 3040 \n",
+       "Q 2066 3103 1784 3103 \n",
+       "Q 1356 3103 1142 2972 \n",
+       "Q 928 2841 928 2578 \n",
+       "Q 928 2378 1081 2264 \n",
+       "Q 1234 2150 1697 2047 \n",
+       "L 1894 2003 \n",
+       "Q 2506 1872 2764 1633 \n",
+       "Q 3022 1394 3022 966 \n",
+       "Q 3022 478 2636 193 \n",
+       "Q 2250 -91 1575 -91 \n",
+       "Q 1294 -91 989 -36 \n",
+       "Q 684 19 347 128 \n",
+       "L 347 722 \n",
+       "Q 666 556 975 473 \n",
+       "Q 1284 391 1588 391 \n",
+       "Q 1994 391 2212 530 \n",
+       "Q 2431 669 2431 922 \n",
+       "Q 2431 1156 2273 1281 \n",
+       "Q 2116 1406 1581 1522 \n",
+       "L 1381 1569 \n",
+       "Q 847 1681 609 1914 \n",
+       "Q 372 2147 372 2553 \n",
+       "Q 372 3047 722 3315 \n",
+       "Q 1072 3584 1716 3584 \n",
+       "Q 2034 3584 2315 3537 \n",
+       "Q 2597 3491 2834 3397 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      </defs>\n",
+       "      <use xlink:href=\"#DejaVuSans-41\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-62\" x=\"68.408203\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-73\" x=\"131.884766\"/>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "   </g>\n",
+       "  </g>\n",
+       " </g>\n",
+       " <defs>\n",
+       "  <clipPath id=\"pd4d9c94c16\">\n",
+       "   <rect x=\"64.885937\" y=\"22.318125\" width=\"357.12\" height=\"266.112\"/>\n",
+       "  </clipPath>\n",
+       " </defs>\n",
+       "</svg>\n"
+      ],
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plt.plot(dw, np.real(Ea), label=\"Re\")\n",
+    "plt.plot(dw, np.imag(Ea), label=\"Im\")\n",
+    "plt.plot(dw, np.abs(Ea), label=\"Abs\")\n",
+    "plt.legend()\n",
+    "plt.xlabel(\"$\\delta\\omega$\")\n",
+    "plt.ylabel(\"Amplitude\")\n",
+    "plt.title(\"a beam / down-converted beam\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 28,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Text(0.5, 1.0, 'c beam / non-converted beam')"
+      ]
+     },
+     "execution_count": 28,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
+       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
+       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
+       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"435.568437pt\" height=\"325.986375pt\" viewBox=\"0 0 435.568437 325.986375\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
+       " <metadata>\n",
+       "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
+       "   <cc:Work>\n",
+       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
+       "    <dc:date>2024-08-11T12:57:50.743731</dc:date>\n",
+       "    <dc:format>image/svg+xml</dc:format>\n",
+       "    <dc:creator>\n",
+       "     <cc:Agent>\n",
+       "      <dc:title>Matplotlib v3.7.2, https://matplotlib.org/</dc:title>\n",
+       "     </cc:Agent>\n",
+       "    </dc:creator>\n",
+       "   </cc:Work>\n",
+       "  </rdf:RDF>\n",
+       " </metadata>\n",
+       " <defs>\n",
+       "  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: butt}</style>\n",
+       " </defs>\n",
+       " <g id=\"figure_1\">\n",
+       "  <g id=\"patch_1\">\n",
+       "   <path d=\"M 0 325.986375 \n",
+       "L 435.568437 325.986375 \n",
+       "L 435.568437 0 \n",
+       "L 0 0 \n",
+       "z\n",
+       "\" style=\"fill: #ffffff\"/>\n",
+       "  </g>\n",
+       "  <g id=\"axes_1\">\n",
+       "   <g id=\"patch_2\">\n",
+       "    <path d=\"M 71.248438 288.430125 \n",
+       "L 428.368438 288.430125 \n",
+       "L 428.368438 22.318125 \n",
+       "L 71.248438 22.318125 \n",
+       "z\n",
+       "\" style=\"fill: #ffffff\"/>\n",
+       "   </g>\n",
+       "   <g id=\"matplotlib.axis_1\">\n",
+       "    <g id=\"xtick_1\">\n",
+       "     <g id=\"line2d_1\">\n",
+       "      <defs>\n",
+       "       <path id=\"m7cdb409b93\" d=\"M 0 0 \n",
+       "L 0 3.5 \n",
+       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </defs>\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m7cdb409b93\" x=\"87.481165\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_1\">\n",
+       "      <!-- −10.0 -->\n",
+       "      <g transform=\"translate(72.158509 303.028562) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-2212\" d=\"M 678 2272 \n",
+       "L 4684 2272 \n",
+       "L 4684 1741 \n",
+       "L 678 1741 \n",
+       "L 678 2272 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "        <path id=\"DejaVuSans-31\" d=\"M 794 531 \n",
+       "L 1825 531 \n",
+       "L 1825 4091 \n",
+       "L 703 3866 \n",
+       "L 703 4441 \n",
+       "L 1819 4666 \n",
+       "L 2450 4666 \n",
+       "L 2450 531 \n",
+       "L 3481 531 \n",
+       "L 3481 0 \n",
+       "L 794 0 \n",
+       "L 794 531 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "        <path id=\"DejaVuSans-30\" d=\"M 2034 4250 \n",
+       "Q 1547 4250 1301 3770 \n",
+       "Q 1056 3291 1056 2328 \n",
+       "Q 1056 1369 1301 889 \n",
+       "Q 1547 409 2034 409 \n",
+       "Q 2525 409 2770 889 \n",
+       "Q 3016 1369 3016 2328 \n",
+       "Q 3016 3291 2770 3770 \n",
+       "Q 2525 4250 2034 4250 \n",
+       "z\n",
+       "M 2034 4750 \n",
+       "Q 2819 4750 3233 4129 \n",
+       "Q 3647 3509 3647 2328 \n",
+       "Q 3647 1150 3233 529 \n",
+       "Q 2819 -91 2034 -91 \n",
+       "Q 1250 -91 836 529 \n",
+       "Q 422 1150 422 2328 \n",
+       "Q 422 3509 836 4129 \n",
+       "Q 1250 4750 2034 4750 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "        <path id=\"DejaVuSans-2e\" d=\"M 684 794 \n",
+       "L 1344 794 \n",
+       "L 1344 0 \n",
+       "L 684 0 \n",
+       "L 684 794 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-31\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"211.035156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"242.822266\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_2\">\n",
+       "     <g id=\"line2d_2\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m7cdb409b93\" x=\"128.062983\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_2\">\n",
+       "      <!-- −7.5 -->\n",
+       "      <g transform=\"translate(115.921577 303.028562) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-37\" d=\"M 525 4666 \n",
+       "L 3525 4666 \n",
+       "L 3525 4397 \n",
+       "L 1831 0 \n",
+       "L 1172 0 \n",
+       "L 2766 4134 \n",
+       "L 525 4134 \n",
+       "L 525 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "        <path id=\"DejaVuSans-35\" d=\"M 691 4666 \n",
+       "L 3169 4666 \n",
+       "L 3169 4134 \n",
+       "L 1269 4134 \n",
+       "L 1269 2991 \n",
+       "Q 1406 3038 1543 3061 \n",
+       "Q 1681 3084 1819 3084 \n",
+       "Q 2600 3084 3056 2656 \n",
+       "Q 3513 2228 3513 1497 \n",
+       "Q 3513 744 3044 326 \n",
+       "Q 2575 -91 1722 -91 \n",
+       "Q 1428 -91 1123 -41 \n",
+       "Q 819 9 494 109 \n",
+       "L 494 744 \n",
+       "Q 775 591 1075 516 \n",
+       "Q 1375 441 1709 441 \n",
+       "Q 2250 441 2565 725 \n",
+       "Q 2881 1009 2881 1497 \n",
+       "Q 2881 1984 2565 2268 \n",
+       "Q 2250 2553 1709 2553 \n",
+       "Q 1456 2553 1204 2497 \n",
+       "Q 953 2441 691 2322 \n",
+       "L 691 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-37\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"179.199219\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_3\">\n",
+       "     <g id=\"line2d_3\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m7cdb409b93\" x=\"168.644801\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_3\">\n",
+       "      <!-- −5.0 -->\n",
+       "      <g transform=\"translate(156.503395 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"179.199219\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_4\">\n",
+       "     <g id=\"line2d_4\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m7cdb409b93\" x=\"209.226619\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_4\">\n",
+       "      <!-- −2.5 -->\n",
+       "      <g transform=\"translate(197.085213 303.028562) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-32\" d=\"M 1228 531 \n",
+       "L 3431 531 \n",
+       "L 3431 0 \n",
+       "L 469 0 \n",
+       "L 469 531 \n",
+       "Q 828 903 1448 1529 \n",
+       "Q 2069 2156 2228 2338 \n",
+       "Q 2531 2678 2651 2914 \n",
+       "Q 2772 3150 2772 3378 \n",
+       "Q 2772 3750 2511 3984 \n",
+       "Q 2250 4219 1831 4219 \n",
+       "Q 1534 4219 1204 4116 \n",
+       "Q 875 4013 500 3803 \n",
+       "L 500 4441 \n",
+       "Q 881 4594 1212 4672 \n",
+       "Q 1544 4750 1819 4750 \n",
+       "Q 2544 4750 2975 4387 \n",
+       "Q 3406 4025 3406 3419 \n",
+       "Q 3406 3131 3298 2873 \n",
+       "Q 3191 2616 2906 2266 \n",
+       "Q 2828 2175 2409 1742 \n",
+       "Q 1991 1309 1228 531 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-32\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"179.199219\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_5\">\n",
+       "     <g id=\"line2d_5\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m7cdb409b93\" x=\"249.808438\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_5\">\n",
+       "      <!-- 0.0 -->\n",
+       "      <g transform=\"translate(241.856875 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_6\">\n",
+       "     <g id=\"line2d_6\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m7cdb409b93\" x=\"290.390256\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_6\">\n",
+       "      <!-- 2.5 -->\n",
+       "      <g transform=\"translate(282.438693 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_7\">\n",
+       "     <g id=\"line2d_7\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m7cdb409b93\" x=\"330.972074\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_7\">\n",
+       "      <!-- 5.0 -->\n",
+       "      <g transform=\"translate(323.020511 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-35\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_8\">\n",
+       "     <g id=\"line2d_8\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m7cdb409b93\" x=\"371.553892\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_8\">\n",
+       "      <!-- 7.5 -->\n",
+       "      <g transform=\"translate(363.60233 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-37\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_9\">\n",
+       "     <g id=\"line2d_9\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m7cdb409b93\" x=\"412.13571\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_9\">\n",
+       "      <!-- 10.0 -->\n",
+       "      <g transform=\"translate(401.002898 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"127.246094\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"text_10\">\n",
+       "     <!-- $\\delta\\omega$ -->\n",
+       "     <g transform=\"translate(242.558438 316.706687) scale(0.1 -0.1)\">\n",
+       "      <defs>\n",
+       "       <path id=\"DejaVuSans-Oblique-3b4\" d=\"M 3472 4053 \n",
+       "Q 3197 4272 2450 4272 \n",
+       "Q 1659 4272 1588 3906 \n",
+       "Q 1531 3619 2328 3469 \n",
+       "Q 2953 3353 3253 3003 \n",
+       "Q 3616 2581 3447 1716 \n",
+       "Q 3284 888 2763 400 \n",
+       "Q 2238 -91 1488 -91 \n",
+       "Q 741 -91 406 400 \n",
+       "Q 72 888 241 1747 \n",
+       "Q 363 2384 891 2900 \n",
+       "Q 1097 3100 1353 3213 \n",
+       "Q 913 3459 1000 3900 \n",
+       "Q 1166 4750 2544 4750 \n",
+       "Q 3234 4750 3566 4531 \n",
+       "L 3472 4053 \n",
+       "z\n",
+       "M 1753 3056 \n",
+       "Q 1525 2966 1306 2738 \n",
+       "Q 969 2384 847 1747 \n",
+       "Q 722 1113 919 756 \n",
+       "Q 1119 397 1584 397 \n",
+       "Q 2044 397 2381 759 \n",
+       "Q 2722 1122 2838 1716 \n",
+       "Q 2956 2338 2731 2638 \n",
+       "Q 2491 2959 2103 2994 \n",
+       "Q 1906 3013 1753 3056 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-Oblique-3c9\" d=\"M 1369 -91 \n",
+       "Q 72 -91 434 1766 \n",
+       "Q 575 2500 1256 3500 \n",
+       "L 1875 3500 \n",
+       "Q 1231 2500 1088 1750 \n",
+       "Q 819 397 1519 397 \n",
+       "Q 2166 397 2478 2078 \n",
+       "L 3009 2078 \n",
+       "Q 2669 388 3316 397 \n",
+       "Q 4013 403 4275 1750 \n",
+       "Q 4419 2500 4169 3500 \n",
+       "L 4788 3500 \n",
+       "Q 5075 2500 4934 1766 \n",
+       "Q 4578 -94 3278 -91 \n",
+       "Q 2428 -88 2503 844 \n",
+       "Q 2194 -91 1369 -91 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      </defs>\n",
+       "      <use xlink:href=\"#DejaVuSans-Oblique-3b4\" transform=\"translate(0 0.78125)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-Oblique-3c9\" transform=\"translate(61.181641 0.78125)\"/>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "   </g>\n",
+       "   <g id=\"matplotlib.axis_2\">\n",
+       "    <g id=\"ytick_1\">\n",
+       "     <g id=\"line2d_10\">\n",
+       "      <defs>\n",
+       "       <path id=\"m206f925f1f\" d=\"M 0 0 \n",
+       "L -3.5 0 \n",
+       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </defs>\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m206f925f1f\" x=\"71.248438\" y=\"264.044542\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_11\">\n",
+       "      <!-- −0.0050 -->\n",
+       "      <g transform=\"translate(20.878125 267.84376) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"179.199219\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"242.822266\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"306.445312\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"370.068359\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_2\">\n",
+       "     <g id=\"line2d_11\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m206f925f1f\" x=\"71.248438\" y=\"232.373364\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_12\">\n",
+       "      <!-- −0.0025 -->\n",
+       "      <g transform=\"translate(20.878125 236.172582) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"179.199219\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"242.822266\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-32\" x=\"306.445312\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"370.068359\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_3\">\n",
+       "     <g id=\"line2d_12\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m206f925f1f\" x=\"71.248438\" y=\"200.702185\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_13\">\n",
+       "      <!-- 0.0000 -->\n",
+       "      <g transform=\"translate(29.257813 204.501404) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"222.65625\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"286.279297\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_4\">\n",
+       "     <g id=\"line2d_13\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m206f925f1f\" x=\"71.248438\" y=\"169.031007\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_14\">\n",
+       "      <!-- 0.0025 -->\n",
+       "      <g transform=\"translate(29.257813 172.830226) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-32\" x=\"222.65625\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"286.279297\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_5\">\n",
+       "     <g id=\"line2d_14\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m206f925f1f\" x=\"71.248438\" y=\"137.359829\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_15\">\n",
+       "      <!-- 0.0050 -->\n",
+       "      <g transform=\"translate(29.257813 141.159048) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"222.65625\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"286.279297\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_6\">\n",
+       "     <g id=\"line2d_15\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m206f925f1f\" x=\"71.248438\" y=\"105.688651\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_16\">\n",
+       "      <!-- 0.0075 -->\n",
+       "      <g transform=\"translate(29.257813 109.48787) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-37\" x=\"222.65625\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"286.279297\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_7\">\n",
+       "     <g id=\"line2d_16\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m206f925f1f\" x=\"71.248438\" y=\"74.017473\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_17\">\n",
+       "      <!-- 0.0100 -->\n",
+       "      <g transform=\"translate(29.257813 77.816692) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-31\" x=\"159.033203\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"222.65625\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"286.279297\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_8\">\n",
+       "     <g id=\"line2d_17\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m206f925f1f\" x=\"71.248438\" y=\"42.346295\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_18\">\n",
+       "      <!-- 0.0125 -->\n",
+       "      <g transform=\"translate(29.257813 46.145514) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-31\" x=\"159.033203\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-32\" x=\"222.65625\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"286.279297\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"text_19\">\n",
+       "     <!-- Amplitude -->\n",
+       "     <g transform=\"translate(14.798438 180.996781) rotate(-90) scale(0.1 -0.1)\">\n",
+       "      <defs>\n",
+       "       <path id=\"DejaVuSans-41\" d=\"M 2188 4044 \n",
+       "L 1331 1722 \n",
+       "L 3047 1722 \n",
+       "L 2188 4044 \n",
+       "z\n",
+       "M 1831 4666 \n",
+       "L 2547 4666 \n",
+       "L 4325 0 \n",
+       "L 3669 0 \n",
+       "L 3244 1197 \n",
+       "L 1141 1197 \n",
+       "L 716 0 \n",
+       "L 50 0 \n",
+       "L 1831 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-6d\" d=\"M 3328 2828 \n",
+       "Q 3544 3216 3844 3400 \n",
+       "Q 4144 3584 4550 3584 \n",
+       "Q 5097 3584 5394 3201 \n",
+       "Q 5691 2819 5691 2113 \n",
+       "L 5691 0 \n",
+       "L 5113 0 \n",
+       "L 5113 2094 \n",
+       "Q 5113 2597 4934 2840 \n",
+       "Q 4756 3084 4391 3084 \n",
+       "Q 3944 3084 3684 2787 \n",
+       "Q 3425 2491 3425 1978 \n",
+       "L 3425 0 \n",
+       "L 2847 0 \n",
+       "L 2847 2094 \n",
+       "Q 2847 2600 2669 2842 \n",
+       "Q 2491 3084 2119 3084 \n",
+       "Q 1678 3084 1418 2786 \n",
+       "Q 1159 2488 1159 1978 \n",
+       "L 1159 0 \n",
+       "L 581 0 \n",
+       "L 581 3500 \n",
+       "L 1159 3500 \n",
+       "L 1159 2956 \n",
+       "Q 1356 3278 1631 3431 \n",
+       "Q 1906 3584 2284 3584 \n",
+       "Q 2666 3584 2933 3390 \n",
+       "Q 3200 3197 3328 2828 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-70\" d=\"M 1159 525 \n",
+       "L 1159 -1331 \n",
+       "L 581 -1331 \n",
+       "L 581 3500 \n",
+       "L 1159 3500 \n",
+       "L 1159 2969 \n",
+       "Q 1341 3281 1617 3432 \n",
+       "Q 1894 3584 2278 3584 \n",
+       "Q 2916 3584 3314 3078 \n",
+       "Q 3713 2572 3713 1747 \n",
+       "Q 3713 922 3314 415 \n",
+       "Q 2916 -91 2278 -91 \n",
+       "Q 1894 -91 1617 61 \n",
+       "Q 1341 213 1159 525 \n",
+       "z\n",
+       "M 3116 1747 \n",
+       "Q 3116 2381 2855 2742 \n",
+       "Q 2594 3103 2138 3103 \n",
+       "Q 1681 3103 1420 2742 \n",
+       "Q 1159 2381 1159 1747 \n",
+       "Q 1159 1113 1420 752 \n",
+       "Q 1681 391 2138 391 \n",
+       "Q 2594 391 2855 752 \n",
+       "Q 3116 1113 3116 1747 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-6c\" d=\"M 603 4863 \n",
+       "L 1178 4863 \n",
+       "L 1178 0 \n",
+       "L 603 0 \n",
+       "L 603 4863 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-69\" d=\"M 603 3500 \n",
+       "L 1178 3500 \n",
+       "L 1178 0 \n",
+       "L 603 0 \n",
+       "L 603 3500 \n",
+       "z\n",
+       "M 603 4863 \n",
+       "L 1178 4863 \n",
+       "L 1178 4134 \n",
+       "L 603 4134 \n",
+       "L 603 4863 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-74\" d=\"M 1172 4494 \n",
+       "L 1172 3500 \n",
+       "L 2356 3500 \n",
+       "L 2356 3053 \n",
+       "L 1172 3053 \n",
+       "L 1172 1153 \n",
+       "Q 1172 725 1289 603 \n",
+       "Q 1406 481 1766 481 \n",
+       "L 2356 481 \n",
+       "L 2356 0 \n",
+       "L 1766 0 \n",
+       "Q 1100 0 847 248 \n",
+       "Q 594 497 594 1153 \n",
+       "L 594 3053 \n",
+       "L 172 3053 \n",
+       "L 172 3500 \n",
+       "L 594 3500 \n",
+       "L 594 4494 \n",
+       "L 1172 4494 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-75\" d=\"M 544 1381 \n",
+       "L 544 3500 \n",
+       "L 1119 3500 \n",
+       "L 1119 1403 \n",
+       "Q 1119 906 1312 657 \n",
+       "Q 1506 409 1894 409 \n",
+       "Q 2359 409 2629 706 \n",
+       "Q 2900 1003 2900 1516 \n",
+       "L 2900 3500 \n",
+       "L 3475 3500 \n",
+       "L 3475 0 \n",
+       "L 2900 0 \n",
+       "L 2900 538 \n",
+       "Q 2691 219 2414 64 \n",
+       "Q 2138 -91 1772 -91 \n",
+       "Q 1169 -91 856 284 \n",
+       "Q 544 659 544 1381 \n",
+       "z\n",
+       "M 1991 3584 \n",
+       "L 1991 3584 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-64\" d=\"M 2906 2969 \n",
+       "L 2906 4863 \n",
+       "L 3481 4863 \n",
+       "L 3481 0 \n",
+       "L 2906 0 \n",
+       "L 2906 525 \n",
+       "Q 2725 213 2448 61 \n",
+       "Q 2172 -91 1784 -91 \n",
+       "Q 1150 -91 751 415 \n",
+       "Q 353 922 353 1747 \n",
+       "Q 353 2572 751 3078 \n",
+       "Q 1150 3584 1784 3584 \n",
+       "Q 2172 3584 2448 3432 \n",
+       "Q 2725 3281 2906 2969 \n",
+       "z\n",
+       "M 947 1747 \n",
+       "Q 947 1113 1208 752 \n",
+       "Q 1469 391 1925 391 \n",
+       "Q 2381 391 2643 752 \n",
+       "Q 2906 1113 2906 1747 \n",
+       "Q 2906 2381 2643 2742 \n",
+       "Q 2381 3103 1925 3103 \n",
+       "Q 1469 3103 1208 2742 \n",
+       "Q 947 2381 947 1747 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-65\" d=\"M 3597 1894 \n",
+       "L 3597 1613 \n",
+       "L 953 1613 \n",
+       "Q 991 1019 1311 708 \n",
+       "Q 1631 397 2203 397 \n",
+       "Q 2534 397 2845 478 \n",
+       "Q 3156 559 3463 722 \n",
+       "L 3463 178 \n",
+       "Q 3153 47 2828 -22 \n",
+       "Q 2503 -91 2169 -91 \n",
+       "Q 1331 -91 842 396 \n",
+       "Q 353 884 353 1716 \n",
+       "Q 353 2575 817 3079 \n",
+       "Q 1281 3584 2069 3584 \n",
+       "Q 2775 3584 3186 3129 \n",
+       "Q 3597 2675 3597 1894 \n",
+       "z\n",
+       "M 3022 2063 \n",
+       "Q 3016 2534 2758 2815 \n",
+       "Q 2500 3097 2075 3097 \n",
+       "Q 1594 3097 1305 2825 \n",
+       "Q 1016 2553 972 2059 \n",
+       "L 3022 2063 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      </defs>\n",
+       "      <use xlink:href=\"#DejaVuSans-41\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6d\" x=\"68.408203\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-70\" x=\"165.820312\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6c\" x=\"229.296875\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-69\" x=\"257.080078\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-74\" x=\"284.863281\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-75\" x=\"324.072266\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-64\" x=\"387.451172\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-65\" x=\"450.927734\"/>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "   </g>\n",
+       "   <g id=\"line2d_18\">\n",
+       "    <path d=\"M 87.481165 200.702185 \n",
+       "L 175.137892 200.613295 \n",
+       "L 180.548801 200.338877 \n",
+       "L 184.877528 199.884423 \n",
+       "L 189.206256 199.196485 \n",
+       "L 192.452801 198.509629 \n",
+       "L 195.699347 197.585119 \n",
+       "L 197.86371 196.726221 \n",
+       "L 200.028074 195.533277 \n",
+       "L 201.110256 194.758243 \n",
+       "L 202.192438 193.8294 \n",
+       "L 203.274619 192.71713 \n",
+       "L 204.356801 191.389556 \n",
+       "L 205.438983 189.813246 \n",
+       "L 206.521165 187.954106 \n",
+       "L 207.603347 185.77845 \n",
+       "L 208.685528 183.254225 \n",
+       "L 209.76771 180.352361 \n",
+       "L 210.849892 177.048192 \n",
+       "L 211.932074 173.322907 \n",
+       "L 214.096438 164.571354 \n",
+       "L 216.260801 154.114604 \n",
+       "L 218.425165 142.136289 \n",
+       "L 221.67171 122.153817 \n",
+       "L 226.000438 94.823228 \n",
+       "L 228.164801 82.411407 \n",
+       "L 230.329165 71.69894 \n",
+       "L 231.411347 67.135287 \n",
+       "L 232.493528 63.156422 \n",
+       "L 233.57571 59.785094 \n",
+       "L 234.657892 57.027205 \n",
+       "L 235.740074 54.871558 \n",
+       "L 236.822256 53.290281 \n",
+       "L 237.904438 52.239946 \n",
+       "L 238.986619 51.663334 \n",
+       "L 240.068801 51.491807 \n",
+       "L 241.150983 51.648184 \n",
+       "L 242.233165 52.050003 \n",
+       "L 244.397528 53.254973 \n",
+       "L 246.561892 54.476577 \n",
+       "L 247.644074 54.931753 \n",
+       "L 248.726256 55.22225 \n",
+       "L 249.808438 55.322019 \n",
+       "L 250.890619 55.22225 \n",
+       "L 251.972801 54.931753 \n",
+       "L 253.054983 54.476577 \n",
+       "L 255.219347 53.254973 \n",
+       "L 257.38371 52.050003 \n",
+       "L 258.465892 51.648184 \n",
+       "L 259.548074 51.491807 \n",
+       "L 260.630256 51.663334 \n",
+       "L 261.712438 52.239946 \n",
+       "L 262.794619 53.290281 \n",
+       "L 263.876801 54.871558 \n",
+       "L 264.958983 57.027205 \n",
+       "L 266.041165 59.785094 \n",
+       "L 267.123347 63.156422 \n",
+       "L 268.205528 67.135287 \n",
+       "L 269.28771 71.69894 \n",
+       "L 271.452074 82.411407 \n",
+       "L 273.616438 94.823228 \n",
+       "L 276.862983 115.227726 \n",
+       "L 280.109528 135.682903 \n",
+       "L 282.273892 148.297169 \n",
+       "L 284.438256 159.548809 \n",
+       "L 286.602619 169.164956 \n",
+       "L 288.766983 177.048192 \n",
+       "L 289.849165 180.352361 \n",
+       "L 290.931347 183.254225 \n",
+       "L 292.013528 185.77845 \n",
+       "L 293.09571 187.954106 \n",
+       "L 294.177892 189.813246 \n",
+       "L 295.260074 191.389556 \n",
+       "L 296.342256 192.71713 \n",
+       "L 297.424438 193.8294 \n",
+       "L 298.506619 194.758243 \n",
+       "L 300.670983 196.181351 \n",
+       "L 302.835347 197.188393 \n",
+       "L 304.99971 197.930523 \n",
+       "L 308.246256 198.75829 \n",
+       "L 312.574983 199.569924 \n",
+       "L 316.90371 200.140509 \n",
+       "L 321.232438 200.483047 \n",
+       "L 326.643347 200.656659 \n",
+       "L 337.465165 200.676604 \n",
+       "L 412.13571 200.702185 \n",
+       "L 412.13571 200.702185 \n",
+       "\" clip-path=\"url(#p30e9e20faa)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"line2d_19\">\n",
+       "    <path d=\"M 87.481165 200.702184 \n",
+       "L 175.137892 200.796448 \n",
+       "L 184.877528 200.954655 \n",
+       "L 189.206256 200.806679 \n",
+       "L 196.781528 200.226332 \n",
+       "L 201.110256 200.024759 \n",
+       "L 206.521165 199.866248 \n",
+       "L 208.685528 199.51654 \n",
+       "L 209.76771 199.181161 \n",
+       "L 210.849892 198.693436 \n",
+       "L 211.932074 198.015702 \n",
+       "L 213.014256 197.108683 \n",
+       "L 214.096438 195.932912 \n",
+       "L 215.178619 194.450413 \n",
+       "L 216.260801 192.626592 \n",
+       "L 217.342983 190.43227 \n",
+       "L 218.425165 187.845801 \n",
+       "L 219.507347 184.85517 \n",
+       "L 220.589528 181.459973 \n",
+       "L 222.753892 173.522613 \n",
+       "L 224.918256 164.320999 \n",
+       "L 230.329165 139.939392 \n",
+       "L 231.411347 135.726449 \n",
+       "L 232.493528 132.039282 \n",
+       "L 233.57571 129.010384 \n",
+       "L 234.657892 126.765521 \n",
+       "L 235.740074 125.419199 \n",
+       "L 236.822256 125.070246 \n",
+       "L 237.904438 125.797697 \n",
+       "L 238.986619 127.657156 \n",
+       "L 240.068801 130.677811 \n",
+       "L 241.150983 134.86024 \n",
+       "L 242.233165 140.175143 \n",
+       "L 243.315347 146.563069 \n",
+       "L 244.397528 153.935181 \n",
+       "L 246.561892 171.141628 \n",
+       "L 249.808438 200.702185 \n",
+       "L 253.054983 230.262743 \n",
+       "L 255.219347 247.46919 \n",
+       "L 256.301528 254.841302 \n",
+       "L 257.38371 261.229228 \n",
+       "L 258.465892 266.544131 \n",
+       "L 259.548074 270.72656 \n",
+       "L 260.630256 273.747215 \n",
+       "L 261.712438 275.606674 \n",
+       "L 262.794619 276.334125 \n",
+       "L 263.876801 275.985172 \n",
+       "L 264.958983 274.63885 \n",
+       "L 266.041165 272.393987 \n",
+       "L 267.123347 269.365089 \n",
+       "L 268.205528 265.677922 \n",
+       "L 270.369892 256.861013 \n",
+       "L 276.862983 227.881758 \n",
+       "L 279.027347 219.944398 \n",
+       "L 280.109528 216.549201 \n",
+       "L 281.19171 213.55857 \n",
+       "L 282.273892 210.972101 \n",
+       "L 283.356074 208.777779 \n",
+       "L 284.438256 206.953958 \n",
+       "L 285.520438 205.471459 \n",
+       "L 286.602619 204.295688 \n",
+       "L 287.684801 203.388669 \n",
+       "L 288.766983 202.710935 \n",
+       "L 289.849165 202.22321 \n",
+       "L 290.931347 201.887831 \n",
+       "L 293.09571 201.538123 \n",
+       "L 296.342256 201.411196 \n",
+       "L 301.753165 201.249008 \n",
+       "L 314.739347 200.449716 \n",
+       "L 320.150256 200.498487 \n",
+       "L 334.218619 200.732801 \n",
+       "L 412.13571 200.702187 \n",
+       "L 412.13571 200.702187 \n",
+       "\" clip-path=\"url(#p30e9e20faa)\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"line2d_20\">\n",
+       "    <path d=\"M 87.481165 200.702184 \n",
+       "L 174.05571 200.608354 \n",
+       "L 179.466619 200.352034 \n",
+       "L 183.795347 199.972127 \n",
+       "L 188.124074 199.380963 \n",
+       "L 191.370619 198.757868 \n",
+       "L 194.617165 197.913629 \n",
+       "L 196.781528 197.156318 \n",
+       "L 198.945892 196.141088 \n",
+       "L 201.110256 194.719765 \n",
+       "L 202.192438 193.794276 \n",
+       "L 203.274619 192.685715 \n",
+       "L 204.356801 191.361227 \n",
+       "L 205.438983 189.786531 \n",
+       "L 206.521165 187.926728 \n",
+       "L 207.603347 185.747108 \n",
+       "L 208.685528 183.213987 \n",
+       "L 209.76771 180.295596 \n",
+       "L 210.849892 176.963051 \n",
+       "L 211.932074 173.191422 \n",
+       "L 213.014256 168.960886 \n",
+       "L 215.178619 159.076652 \n",
+       "L 217.342983 147.300341 \n",
+       "L 219.507347 133.779581 \n",
+       "L 221.67171 118.847552 \n",
+       "L 229.246983 64.674941 \n",
+       "L 231.411347 52.169486 \n",
+       "L 232.493528 46.970499 \n",
+       "L 233.57571 42.596711 \n",
+       "L 234.657892 39.118986 \n",
+       "L 235.740074 36.586068 \n",
+       "L 236.822256 35.020382 \n",
+       "L 237.904438 34.414125 \n",
+       "L 238.986619 34.725815 \n",
+       "L 240.068801 35.877582 \n",
+       "L 241.150983 37.753552 \n",
+       "L 242.233165 40.199867 \n",
+       "L 246.561892 51.518557 \n",
+       "L 247.644074 53.562113 \n",
+       "L 248.726256 54.871195 \n",
+       "L 249.808438 55.322019 \n",
+       "L 250.890619 54.871195 \n",
+       "L 251.972801 53.562113 \n",
+       "L 253.054983 51.518557 \n",
+       "L 254.137165 48.927503 \n",
+       "L 257.38371 40.199867 \n",
+       "L 258.465892 37.753552 \n",
+       "L 259.548074 35.877582 \n",
+       "L 260.630256 34.725815 \n",
+       "L 261.712438 34.414125 \n",
+       "L 262.794619 35.020382 \n",
+       "L 263.876801 36.586068 \n",
+       "L 264.958983 39.118986 \n",
+       "L 266.041165 42.596711 \n",
+       "L 267.123347 46.970499 \n",
+       "L 268.205528 52.169486 \n",
+       "L 269.28771 58.105011 \n",
+       "L 271.452074 71.767895 \n",
+       "L 274.698619 95.014405 \n",
+       "L 279.027347 126.461447 \n",
+       "L 281.19171 140.741775 \n",
+       "L 283.356074 153.419864 \n",
+       "L 285.520438 164.257941 \n",
+       "L 287.684801 173.191422 \n",
+       "L 288.766983 176.963051 \n",
+       "L 289.849165 180.295596 \n",
+       "L 290.931347 183.213987 \n",
+       "L 292.013528 185.747108 \n",
+       "L 293.09571 187.926728 \n",
+       "L 294.177892 189.786531 \n",
+       "L 295.260074 191.361227 \n",
+       "L 296.342256 192.685715 \n",
+       "L 297.424438 193.794276 \n",
+       "L 298.506619 194.719765 \n",
+       "L 300.670983 196.141088 \n",
+       "L 302.835347 197.156318 \n",
+       "L 304.99971 197.913629 \n",
+       "L 308.246256 198.757868 \n",
+       "L 311.492801 199.380963 \n",
+       "L 315.821528 199.972127 \n",
+       "L 320.150256 200.352034 \n",
+       "L 325.561165 200.608354 \n",
+       "L 332.054256 200.672715 \n",
+       "L 352.61571 200.692901 \n",
+       "L 412.13571 200.702184 \n",
+       "L 412.13571 200.702184 \n",
+       "\" clip-path=\"url(#p30e9e20faa)\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_3\">\n",
+       "    <path d=\"M 71.248438 288.430125 \n",
+       "L 71.248438 22.318125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_4\">\n",
+       "    <path d=\"M 428.368438 288.430125 \n",
+       "L 428.368438 22.318125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_5\">\n",
+       "    <path d=\"M 71.248438 288.430125 \n",
+       "L 428.368438 288.430125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_6\">\n",
+       "    <path d=\"M 71.248438 22.318125 \n",
+       "L 428.368438 22.318125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"text_20\">\n",
+       "    <!-- c beam / non-converted beam -->\n",
+       "    <g transform=\"translate(159.039688 16.318125) scale(0.12 -0.12)\">\n",
+       "     <defs>\n",
+       "      <path id=\"DejaVuSans-63\" d=\"M 3122 3366 \n",
+       "L 3122 2828 \n",
+       "Q 2878 2963 2633 3030 \n",
+       "Q 2388 3097 2138 3097 \n",
+       "Q 1578 3097 1268 2742 \n",
+       "Q 959 2388 959 1747 \n",
+       "Q 959 1106 1268 751 \n",
+       "Q 1578 397 2138 397 \n",
+       "Q 2388 397 2633 464 \n",
+       "Q 2878 531 3122 666 \n",
+       "L 3122 134 \n",
+       "Q 2881 22 2623 -34 \n",
+       "Q 2366 -91 2075 -91 \n",
+       "Q 1284 -91 818 406 \n",
+       "Q 353 903 353 1747 \n",
+       "Q 353 2603 823 3093 \n",
+       "Q 1294 3584 2113 3584 \n",
+       "Q 2378 3584 2631 3529 \n",
+       "Q 2884 3475 3122 3366 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-20\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-62\" d=\"M 3116 1747 \n",
+       "Q 3116 2381 2855 2742 \n",
+       "Q 2594 3103 2138 3103 \n",
+       "Q 1681 3103 1420 2742 \n",
+       "Q 1159 2381 1159 1747 \n",
+       "Q 1159 1113 1420 752 \n",
+       "Q 1681 391 2138 391 \n",
+       "Q 2594 391 2855 752 \n",
+       "Q 3116 1113 3116 1747 \n",
+       "z\n",
+       "M 1159 2969 \n",
+       "Q 1341 3281 1617 3432 \n",
+       "Q 1894 3584 2278 3584 \n",
+       "Q 2916 3584 3314 3078 \n",
+       "Q 3713 2572 3713 1747 \n",
+       "Q 3713 922 3314 415 \n",
+       "Q 2916 -91 2278 -91 \n",
+       "Q 1894 -91 1617 61 \n",
+       "Q 1341 213 1159 525 \n",
+       "L 1159 0 \n",
+       "L 581 0 \n",
+       "L 581 4863 \n",
+       "L 1159 4863 \n",
+       "L 1159 2969 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-61\" d=\"M 2194 1759 \n",
+       "Q 1497 1759 1228 1600 \n",
+       "Q 959 1441 959 1056 \n",
+       "Q 959 750 1161 570 \n",
+       "Q 1363 391 1709 391 \n",
+       "Q 2188 391 2477 730 \n",
+       "Q 2766 1069 2766 1631 \n",
+       "L 2766 1759 \n",
+       "L 2194 1759 \n",
+       "z\n",
+       "M 3341 1997 \n",
+       "L 3341 0 \n",
+       "L 2766 0 \n",
+       "L 2766 531 \n",
+       "Q 2569 213 2275 61 \n",
+       "Q 1981 -91 1556 -91 \n",
+       "Q 1019 -91 701 211 \n",
+       "Q 384 513 384 1019 \n",
+       "Q 384 1609 779 1909 \n",
+       "Q 1175 2209 1959 2209 \n",
+       "L 2766 2209 \n",
+       "L 2766 2266 \n",
+       "Q 2766 2663 2505 2880 \n",
+       "Q 2244 3097 1772 3097 \n",
+       "Q 1472 3097 1187 3025 \n",
+       "Q 903 2953 641 2809 \n",
+       "L 641 3341 \n",
+       "Q 956 3463 1253 3523 \n",
+       "Q 1550 3584 1831 3584 \n",
+       "Q 2591 3584 2966 3190 \n",
+       "Q 3341 2797 3341 1997 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-2f\" d=\"M 1625 4666 \n",
+       "L 2156 4666 \n",
+       "L 531 -594 \n",
+       "L 0 -594 \n",
+       "L 1625 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-6e\" d=\"M 3513 2113 \n",
+       "L 3513 0 \n",
+       "L 2938 0 \n",
+       "L 2938 2094 \n",
+       "Q 2938 2591 2744 2837 \n",
+       "Q 2550 3084 2163 3084 \n",
+       "Q 1697 3084 1428 2787 \n",
+       "Q 1159 2491 1159 1978 \n",
+       "L 1159 0 \n",
+       "L 581 0 \n",
+       "L 581 3500 \n",
+       "L 1159 3500 \n",
+       "L 1159 2956 \n",
+       "Q 1366 3272 1645 3428 \n",
+       "Q 1925 3584 2291 3584 \n",
+       "Q 2894 3584 3203 3211 \n",
+       "Q 3513 2838 3513 2113 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-6f\" d=\"M 1959 3097 \n",
+       "Q 1497 3097 1228 2736 \n",
+       "Q 959 2375 959 1747 \n",
+       "Q 959 1119 1226 758 \n",
+       "Q 1494 397 1959 397 \n",
+       "Q 2419 397 2687 759 \n",
+       "Q 2956 1122 2956 1747 \n",
+       "Q 2956 2369 2687 2733 \n",
+       "Q 2419 3097 1959 3097 \n",
+       "z\n",
+       "M 1959 3584 \n",
+       "Q 2709 3584 3137 3096 \n",
+       "Q 3566 2609 3566 1747 \n",
+       "Q 3566 888 3137 398 \n",
+       "Q 2709 -91 1959 -91 \n",
+       "Q 1206 -91 779 398 \n",
+       "Q 353 888 353 1747 \n",
+       "Q 353 2609 779 3096 \n",
+       "Q 1206 3584 1959 3584 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-2d\" d=\"M 313 2009 \n",
+       "L 1997 2009 \n",
+       "L 1997 1497 \n",
+       "L 313 1497 \n",
+       "L 313 2009 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-76\" d=\"M 191 3500 \n",
+       "L 800 3500 \n",
+       "L 1894 563 \n",
+       "L 2988 3500 \n",
+       "L 3597 3500 \n",
+       "L 2284 0 \n",
+       "L 1503 0 \n",
+       "L 191 3500 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-72\" d=\"M 2631 2963 \n",
+       "Q 2534 3019 2420 3045 \n",
+       "Q 2306 3072 2169 3072 \n",
+       "Q 1681 3072 1420 2755 \n",
+       "Q 1159 2438 1159 1844 \n",
+       "L 1159 0 \n",
+       "L 581 0 \n",
+       "L 581 3500 \n",
+       "L 1159 3500 \n",
+       "L 1159 2956 \n",
+       "Q 1341 3275 1631 3429 \n",
+       "Q 1922 3584 2338 3584 \n",
+       "Q 2397 3584 2469 3576 \n",
+       "Q 2541 3569 2628 3553 \n",
+       "L 2631 2963 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "     </defs>\n",
+       "     <use xlink:href=\"#DejaVuSans-63\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-20\" x=\"54.980469\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-62\" x=\"86.767578\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-65\" x=\"150.244141\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-61\" x=\"211.767578\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-6d\" x=\"273.046875\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-20\" x=\"370.458984\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-2f\" x=\"402.246094\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-20\" x=\"435.9375\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-6e\" x=\"467.724609\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-6f\" x=\"531.103516\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-6e\" x=\"592.285156\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-2d\" x=\"655.664062\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-63\" x=\"691.748047\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-6f\" x=\"746.728516\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-6e\" x=\"807.910156\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-76\" x=\"871.289062\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-65\" x=\"930.46875\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-72\" x=\"991.992188\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-74\" x=\"1033.105469\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-65\" x=\"1072.314453\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-64\" x=\"1133.837891\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-20\" x=\"1197.314453\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-62\" x=\"1229.101562\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-65\" x=\"1292.578125\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-61\" x=\"1354.101562\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-6d\" x=\"1415.380859\"/>\n",
+       "    </g>\n",
+       "   </g>\n",
+       "   <g id=\"legend_1\">\n",
+       "    <g id=\"patch_7\">\n",
+       "     <path d=\"M 370.97 74.3525 \n",
+       "L 421.368438 74.3525 \n",
+       "Q 423.368438 74.3525 423.368438 72.3525 \n",
+       "L 423.368438 29.318125 \n",
+       "Q 423.368438 27.318125 421.368438 27.318125 \n",
+       "L 370.97 27.318125 \n",
+       "Q 368.97 27.318125 368.97 29.318125 \n",
+       "L 368.97 72.3525 \n",
+       "Q 368.97 74.3525 370.97 74.3525 \n",
+       "z\n",
+       "\" style=\"fill: #ffffff; opacity: 0.8; stroke: #cccccc; stroke-linejoin: miter\"/>\n",
+       "    </g>\n",
+       "    <g id=\"line2d_21\">\n",
+       "     <path d=\"M 372.97 35.416562 \n",
+       "L 382.97 35.416562 \n",
+       "L 392.97 35.416562 \n",
+       "\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "    </g>\n",
+       "    <g id=\"text_21\">\n",
+       "     <!-- Re -->\n",
+       "     <g transform=\"translate(400.97 38.916562) scale(0.1 -0.1)\">\n",
+       "      <defs>\n",
+       "       <path id=\"DejaVuSans-52\" d=\"M 2841 2188 \n",
+       "Q 3044 2119 3236 1894 \n",
+       "Q 3428 1669 3622 1275 \n",
+       "L 4263 0 \n",
+       "L 3584 0 \n",
+       "L 2988 1197 \n",
+       "Q 2756 1666 2539 1819 \n",
+       "Q 2322 1972 1947 1972 \n",
+       "L 1259 1972 \n",
+       "L 1259 0 \n",
+       "L 628 0 \n",
+       "L 628 4666 \n",
+       "L 2053 4666 \n",
+       "Q 2853 4666 3247 4331 \n",
+       "Q 3641 3997 3641 3322 \n",
+       "Q 3641 2881 3436 2590 \n",
+       "Q 3231 2300 2841 2188 \n",
+       "z\n",
+       "M 1259 4147 \n",
+       "L 1259 2491 \n",
+       "L 2053 2491 \n",
+       "Q 2509 2491 2742 2702 \n",
+       "Q 2975 2913 2975 3322 \n",
+       "Q 2975 3731 2742 3939 \n",
+       "Q 2509 4147 2053 4147 \n",
+       "L 1259 4147 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      </defs>\n",
+       "      <use xlink:href=\"#DejaVuSans-52\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-65\" x=\"64.982422\"/>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"line2d_22\">\n",
+       "     <path d=\"M 372.97 50.094688 \n",
+       "L 382.97 50.094688 \n",
+       "L 392.97 50.094688 \n",
+       "\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "    </g>\n",
+       "    <g id=\"text_22\">\n",
+       "     <!-- Im -->\n",
+       "     <g transform=\"translate(400.97 53.594688) scale(0.1 -0.1)\">\n",
+       "      <defs>\n",
+       "       <path id=\"DejaVuSans-49\" d=\"M 628 4666 \n",
+       "L 1259 4666 \n",
+       "L 1259 0 \n",
+       "L 628 0 \n",
+       "L 628 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      </defs>\n",
+       "      <use xlink:href=\"#DejaVuSans-49\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6d\" x=\"29.492188\"/>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"line2d_23\">\n",
+       "     <path d=\"M 372.97 64.772812 \n",
+       "L 382.97 64.772812 \n",
+       "L 392.97 64.772812 \n",
+       "\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "    </g>\n",
+       "    <g id=\"text_23\">\n",
+       "     <!-- Abs -->\n",
+       "     <g transform=\"translate(400.97 68.272812) scale(0.1 -0.1)\">\n",
+       "      <defs>\n",
+       "       <path id=\"DejaVuSans-73\" d=\"M 2834 3397 \n",
+       "L 2834 2853 \n",
+       "Q 2591 2978 2328 3040 \n",
+       "Q 2066 3103 1784 3103 \n",
+       "Q 1356 3103 1142 2972 \n",
+       "Q 928 2841 928 2578 \n",
+       "Q 928 2378 1081 2264 \n",
+       "Q 1234 2150 1697 2047 \n",
+       "L 1894 2003 \n",
+       "Q 2506 1872 2764 1633 \n",
+       "Q 3022 1394 3022 966 \n",
+       "Q 3022 478 2636 193 \n",
+       "Q 2250 -91 1575 -91 \n",
+       "Q 1294 -91 989 -36 \n",
+       "Q 684 19 347 128 \n",
+       "L 347 722 \n",
+       "Q 666 556 975 473 \n",
+       "Q 1284 391 1588 391 \n",
+       "Q 1994 391 2212 530 \n",
+       "Q 2431 669 2431 922 \n",
+       "Q 2431 1156 2273 1281 \n",
+       "Q 2116 1406 1581 1522 \n",
+       "L 1381 1569 \n",
+       "Q 847 1681 609 1914 \n",
+       "Q 372 2147 372 2553 \n",
+       "Q 372 3047 722 3315 \n",
+       "Q 1072 3584 1716 3584 \n",
+       "Q 2034 3584 2315 3537 \n",
+       "Q 2597 3491 2834 3397 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      </defs>\n",
+       "      <use xlink:href=\"#DejaVuSans-41\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-62\" x=\"68.408203\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-73\" x=\"131.884766\"/>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "   </g>\n",
+       "  </g>\n",
+       " </g>\n",
+       " <defs>\n",
+       "  <clipPath id=\"p30e9e20faa\">\n",
+       "   <rect x=\"71.248438\" y=\"22.318125\" width=\"357.12\" height=\"266.112\"/>\n",
+       "  </clipPath>\n",
+       " </defs>\n",
+       "</svg>\n"
+      ],
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plt.plot(dw, np.real(Ec), label=\"Re\")\n",
+    "plt.plot(dw, np.imag(Ec), label=\"Im\")\n",
+    "plt.plot(dw, np.abs(Ec), label=\"Abs\")\n",
+    "plt.legend()\n",
+    "plt.xlabel(\"$\\delta\\omega$\")\n",
+    "plt.ylabel(\"Amplitude\")\n",
+    "plt.title(\"c beam / non-converted beam\")"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "To get the Joint Conversion Amplitude, we call the appropriate function and show the matrix."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 29,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "J = get_JCA(prop)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 30,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Text(0, 0.5, '$\\\\delta\\\\omega_{out}$')"
+      ]
+     },
+     "execution_count": 30,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
+       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
+       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
+       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"342.96825pt\" height=\"325.986375pt\" viewBox=\"0 0 342.96825 325.986375\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
+       " <metadata>\n",
+       "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
+       "   <cc:Work>\n",
+       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
+       "    <dc:date>2024-08-11T12:57:51.030434</dc:date>\n",
+       "    <dc:format>image/svg+xml</dc:format>\n",
+       "    <dc:creator>\n",
+       "     <cc:Agent>\n",
+       "      <dc:title>Matplotlib v3.7.2, https://matplotlib.org/</dc:title>\n",
+       "     </cc:Agent>\n",
+       "    </dc:creator>\n",
+       "   </cc:Work>\n",
+       "  </rdf:RDF>\n",
+       " </metadata>\n",
+       " <defs>\n",
+       "  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: butt}</style>\n",
+       " </defs>\n",
+       " <g id=\"figure_1\">\n",
+       "  <g id=\"patch_1\">\n",
+       "   <path d=\"M 0 325.986375 \n",
+       "L 342.96825 325.986375 \n",
+       "L 342.96825 0 \n",
+       "L 0 0 \n",
+       "z\n",
+       "\" style=\"fill: #ffffff\"/>\n",
+       "  </g>\n",
+       "  <g id=\"axes_1\">\n",
+       "   <g id=\"patch_2\">\n",
+       "    <path d=\"M 58.523438 288.430125 \n",
+       "L 324.635437 288.430125 \n",
+       "L 324.635437 22.318125 \n",
+       "L 58.523438 22.318125 \n",
+       "z\n",
+       "\" style=\"fill: #ffffff\"/>\n",
+       "   </g>\n",
+       "   <g clip-path=\"url(#p00edeba22d)\">\n",
+       "    <image xlink:href=\"data:image/png;base64,\n",
+       "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\" id=\"image061b55e160\" transform=\"scale(1 -1) translate(0 -266.4)\" x=\"58.523438\" y=\"-22.030125\" width=\"266.4\" height=\"266.4\"/>\n",
+       "   </g>\n",
+       "   <g id=\"matplotlib.axis_1\">\n",
+       "    <g id=\"xtick_1\">\n",
+       "     <g id=\"line2d_1\">\n",
+       "      <defs>\n",
+       "       <path id=\"m76924651e3\" d=\"M 0 0 \n",
+       "L 0 3.5 \n",
+       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </defs>\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m76924651e3\" x=\"58.523438\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_1\">\n",
+       "      <!-- −10.0 -->\n",
+       "      <g transform=\"translate(43.200781 303.028562) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-2212\" d=\"M 678 2272 \n",
+       "L 4684 2272 \n",
+       "L 4684 1741 \n",
+       "L 678 1741 \n",
+       "L 678 2272 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "        <path id=\"DejaVuSans-31\" d=\"M 794 531 \n",
+       "L 1825 531 \n",
+       "L 1825 4091 \n",
+       "L 703 3866 \n",
+       "L 703 4441 \n",
+       "L 1819 4666 \n",
+       "L 2450 4666 \n",
+       "L 2450 531 \n",
+       "L 3481 531 \n",
+       "L 3481 0 \n",
+       "L 794 0 \n",
+       "L 794 531 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "        <path id=\"DejaVuSans-30\" d=\"M 2034 4250 \n",
+       "Q 1547 4250 1301 3770 \n",
+       "Q 1056 3291 1056 2328 \n",
+       "Q 1056 1369 1301 889 \n",
+       "Q 1547 409 2034 409 \n",
+       "Q 2525 409 2770 889 \n",
+       "Q 3016 1369 3016 2328 \n",
+       "Q 3016 3291 2770 3770 \n",
+       "Q 2525 4250 2034 4250 \n",
+       "z\n",
+       "M 2034 4750 \n",
+       "Q 2819 4750 3233 4129 \n",
+       "Q 3647 3509 3647 2328 \n",
+       "Q 3647 1150 3233 529 \n",
+       "Q 2819 -91 2034 -91 \n",
+       "Q 1250 -91 836 529 \n",
+       "Q 422 1150 422 2328 \n",
+       "Q 422 3509 836 4129 \n",
+       "Q 1250 4750 2034 4750 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "        <path id=\"DejaVuSans-2e\" d=\"M 684 794 \n",
+       "L 1344 794 \n",
+       "L 1344 0 \n",
+       "L 684 0 \n",
+       "L 684 794 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-31\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"211.035156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"242.822266\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_2\">\n",
+       "     <g id=\"line2d_2\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m76924651e3\" x=\"91.787437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_2\">\n",
+       "      <!-- −7.5 -->\n",
+       "      <g transform=\"translate(79.646031 303.028562) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-37\" d=\"M 525 4666 \n",
+       "L 3525 4666 \n",
+       "L 3525 4397 \n",
+       "L 1831 0 \n",
+       "L 1172 0 \n",
+       "L 2766 4134 \n",
+       "L 525 4134 \n",
+       "L 525 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "        <path id=\"DejaVuSans-35\" d=\"M 691 4666 \n",
+       "L 3169 4666 \n",
+       "L 3169 4134 \n",
+       "L 1269 4134 \n",
+       "L 1269 2991 \n",
+       "Q 1406 3038 1543 3061 \n",
+       "Q 1681 3084 1819 3084 \n",
+       "Q 2600 3084 3056 2656 \n",
+       "Q 3513 2228 3513 1497 \n",
+       "Q 3513 744 3044 326 \n",
+       "Q 2575 -91 1722 -91 \n",
+       "Q 1428 -91 1123 -41 \n",
+       "Q 819 9 494 109 \n",
+       "L 494 744 \n",
+       "Q 775 591 1075 516 \n",
+       "Q 1375 441 1709 441 \n",
+       "Q 2250 441 2565 725 \n",
+       "Q 2881 1009 2881 1497 \n",
+       "Q 2881 1984 2565 2268 \n",
+       "Q 2250 2553 1709 2553 \n",
+       "Q 1456 2553 1204 2497 \n",
+       "Q 953 2441 691 2322 \n",
+       "L 691 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-37\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"179.199219\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_3\">\n",
+       "     <g id=\"line2d_3\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m76924651e3\" x=\"125.051437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_3\">\n",
+       "      <!-- −5.0 -->\n",
+       "      <g transform=\"translate(112.910031 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"179.199219\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_4\">\n",
+       "     <g id=\"line2d_4\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m76924651e3\" x=\"158.315437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_4\">\n",
+       "      <!-- −2.5 -->\n",
+       "      <g transform=\"translate(146.174031 303.028562) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-32\" d=\"M 1228 531 \n",
+       "L 3431 531 \n",
+       "L 3431 0 \n",
+       "L 469 0 \n",
+       "L 469 531 \n",
+       "Q 828 903 1448 1529 \n",
+       "Q 2069 2156 2228 2338 \n",
+       "Q 2531 2678 2651 2914 \n",
+       "Q 2772 3150 2772 3378 \n",
+       "Q 2772 3750 2511 3984 \n",
+       "Q 2250 4219 1831 4219 \n",
+       "Q 1534 4219 1204 4116 \n",
+       "Q 875 4013 500 3803 \n",
+       "L 500 4441 \n",
+       "Q 881 4594 1212 4672 \n",
+       "Q 1544 4750 1819 4750 \n",
+       "Q 2544 4750 2975 4387 \n",
+       "Q 3406 4025 3406 3419 \n",
+       "Q 3406 3131 3298 2873 \n",
+       "Q 3191 2616 2906 2266 \n",
+       "Q 2828 2175 2409 1742 \n",
+       "Q 1991 1309 1228 531 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-32\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"179.199219\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_5\">\n",
+       "     <g id=\"line2d_5\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m76924651e3\" x=\"191.579437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_5\">\n",
+       "      <!-- 0.0 -->\n",
+       "      <g transform=\"translate(183.627875 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_6\">\n",
+       "     <g id=\"line2d_6\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m76924651e3\" x=\"224.843437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_6\">\n",
+       "      <!-- 2.5 -->\n",
+       "      <g transform=\"translate(216.891875 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_7\">\n",
+       "     <g id=\"line2d_7\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m76924651e3\" x=\"258.107437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_7\">\n",
+       "      <!-- 5.0 -->\n",
+       "      <g transform=\"translate(250.155875 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-35\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_8\">\n",
+       "     <g id=\"line2d_8\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m76924651e3\" x=\"291.371437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_8\">\n",
+       "      <!-- 7.5 -->\n",
+       "      <g transform=\"translate(283.419875 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-37\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_9\">\n",
+       "     <g id=\"line2d_9\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m76924651e3\" x=\"324.635437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_9\">\n",
+       "      <!-- 10.0 -->\n",
+       "      <g transform=\"translate(313.502625 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"127.246094\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"text_10\">\n",
+       "     <!-- $\\delta\\omega_{in}$ -->\n",
+       "     <g transform=\"translate(180.979437 316.706687) scale(0.1 -0.1)\">\n",
+       "      <defs>\n",
+       "       <path id=\"DejaVuSans-Oblique-3b4\" d=\"M 3472 4053 \n",
+       "Q 3197 4272 2450 4272 \n",
+       "Q 1659 4272 1588 3906 \n",
+       "Q 1531 3619 2328 3469 \n",
+       "Q 2953 3353 3253 3003 \n",
+       "Q 3616 2581 3447 1716 \n",
+       "Q 3284 888 2763 400 \n",
+       "Q 2238 -91 1488 -91 \n",
+       "Q 741 -91 406 400 \n",
+       "Q 72 888 241 1747 \n",
+       "Q 363 2384 891 2900 \n",
+       "Q 1097 3100 1353 3213 \n",
+       "Q 913 3459 1000 3900 \n",
+       "Q 1166 4750 2544 4750 \n",
+       "Q 3234 4750 3566 4531 \n",
+       "L 3472 4053 \n",
+       "z\n",
+       "M 1753 3056 \n",
+       "Q 1525 2966 1306 2738 \n",
+       "Q 969 2384 847 1747 \n",
+       "Q 722 1113 919 756 \n",
+       "Q 1119 397 1584 397 \n",
+       "Q 2044 397 2381 759 \n",
+       "Q 2722 1122 2838 1716 \n",
+       "Q 2956 2338 2731 2638 \n",
+       "Q 2491 2959 2103 2994 \n",
+       "Q 1906 3013 1753 3056 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-Oblique-3c9\" d=\"M 1369 -91 \n",
+       "Q 72 -91 434 1766 \n",
+       "Q 575 2500 1256 3500 \n",
+       "L 1875 3500 \n",
+       "Q 1231 2500 1088 1750 \n",
+       "Q 819 397 1519 397 \n",
+       "Q 2166 397 2478 2078 \n",
+       "L 3009 2078 \n",
+       "Q 2669 388 3316 397 \n",
+       "Q 4013 403 4275 1750 \n",
+       "Q 4419 2500 4169 3500 \n",
+       "L 4788 3500 \n",
+       "Q 5075 2500 4934 1766 \n",
+       "Q 4578 -94 3278 -91 \n",
+       "Q 2428 -88 2503 844 \n",
+       "Q 2194 -91 1369 -91 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-Oblique-69\" d=\"M 1172 4863 \n",
+       "L 1747 4863 \n",
+       "L 1606 4134 \n",
+       "L 1031 4134 \n",
+       "L 1172 4863 \n",
+       "z\n",
+       "M 909 3500 \n",
+       "L 1484 3500 \n",
+       "L 800 0 \n",
+       "L 225 0 \n",
+       "L 909 3500 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-Oblique-6e\" d=\"M 3566 2113 \n",
+       "L 3156 0 \n",
+       "L 2578 0 \n",
+       "L 2988 2091 \n",
+       "Q 3016 2238 3031 2350 \n",
+       "Q 3047 2463 3047 2528 \n",
+       "Q 3047 2791 2881 2937 \n",
+       "Q 2716 3084 2419 3084 \n",
+       "Q 1956 3084 1622 2776 \n",
+       "Q 1288 2469 1184 1941 \n",
+       "L 800 0 \n",
+       "L 225 0 \n",
+       "L 903 3500 \n",
+       "L 1478 3500 \n",
+       "L 1363 2950 \n",
+       "Q 1603 3253 1940 3418 \n",
+       "Q 2278 3584 2650 3584 \n",
+       "Q 3113 3584 3367 3334 \n",
+       "Q 3622 3084 3622 2631 \n",
+       "Q 3622 2519 3608 2391 \n",
+       "Q 3594 2263 3566 2113 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      </defs>\n",
+       "      <use xlink:href=\"#DejaVuSans-Oblique-3b4\" transform=\"translate(0 0.78125)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-Oblique-3c9\" transform=\"translate(61.181641 0.78125)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-Oblique-69\" transform=\"translate(144.921875 -15.625) scale(0.7)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-Oblique-6e\" transform=\"translate(164.370117 -15.625) scale(0.7)\"/>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "   </g>\n",
+       "   <g id=\"matplotlib.axis_2\">\n",
+       "    <g id=\"ytick_1\">\n",
+       "     <g id=\"line2d_10\">\n",
+       "      <defs>\n",
+       "       <path id=\"m1b701419fd\" d=\"M 0 0 \n",
+       "L -3.5 0 \n",
+       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </defs>\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m1b701419fd\" x=\"58.523438\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_11\">\n",
+       "      <!-- −10.0 -->\n",
+       "      <g transform=\"translate(20.878125 292.229344) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-31\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"211.035156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"242.822266\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_2\">\n",
+       "     <g id=\"line2d_11\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m1b701419fd\" x=\"58.523438\" y=\"255.166125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_12\">\n",
+       "      <!-- −7.5 -->\n",
+       "      <g transform=\"translate(27.240625 258.965344) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-37\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"179.199219\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_3\">\n",
+       "     <g id=\"line2d_12\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m1b701419fd\" x=\"58.523438\" y=\"221.902125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_13\">\n",
+       "      <!-- −5.0 -->\n",
+       "      <g transform=\"translate(27.240625 225.701344) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"179.199219\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_4\">\n",
+       "     <g id=\"line2d_13\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m1b701419fd\" x=\"58.523438\" y=\"188.638125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_14\">\n",
+       "      <!-- −2.5 -->\n",
+       "      <g transform=\"translate(27.240625 192.437344) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-32\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"179.199219\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_5\">\n",
+       "     <g id=\"line2d_14\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m1b701419fd\" x=\"58.523438\" y=\"155.374125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_15\">\n",
+       "      <!-- 0.0 -->\n",
+       "      <g transform=\"translate(35.620312 159.173344) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_6\">\n",
+       "     <g id=\"line2d_15\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m1b701419fd\" x=\"58.523438\" y=\"122.110125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_16\">\n",
+       "      <!-- 2.5 -->\n",
+       "      <g transform=\"translate(35.620312 125.909344) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_7\">\n",
+       "     <g id=\"line2d_16\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m1b701419fd\" x=\"58.523438\" y=\"88.846125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_17\">\n",
+       "      <!-- 5.0 -->\n",
+       "      <g transform=\"translate(35.620312 92.645344) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-35\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_8\">\n",
+       "     <g id=\"line2d_17\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m1b701419fd\" x=\"58.523438\" y=\"55.582125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_18\">\n",
+       "      <!-- 7.5 -->\n",
+       "      <g transform=\"translate(35.620312 59.381344) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-37\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_9\">\n",
+       "     <g id=\"line2d_18\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m1b701419fd\" x=\"58.523438\" y=\"22.318125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_19\">\n",
+       "      <!-- 10.0 -->\n",
+       "      <g transform=\"translate(29.257812 26.117344) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"127.246094\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"text_20\">\n",
+       "     <!-- $\\delta\\omega_{out}$ -->\n",
+       "     <g transform=\"translate(14.798437 168.524125) rotate(-90) scale(0.1 -0.1)\">\n",
+       "      <defs>\n",
+       "       <path id=\"DejaVuSans-Oblique-6f\" d=\"M 1625 -91 \n",
+       "Q 1009 -91 651 289 \n",
+       "Q 294 669 294 1325 \n",
+       "Q 294 1706 417 2101 \n",
+       "Q 541 2497 738 2766 \n",
+       "Q 1047 3184 1428 3384 \n",
+       "Q 1809 3584 2291 3584 \n",
+       "Q 2888 3584 3255 3212 \n",
+       "Q 3622 2841 3622 2241 \n",
+       "Q 3622 1825 3500 1412 \n",
+       "Q 3378 1000 3181 728 \n",
+       "Q 2875 309 2494 109 \n",
+       "Q 2113 -91 1625 -91 \n",
+       "z\n",
+       "M 891 1344 \n",
+       "Q 891 869 1089 633 \n",
+       "Q 1288 397 1691 397 \n",
+       "Q 2269 397 2648 901 \n",
+       "Q 3028 1406 3028 2181 \n",
+       "Q 3028 2634 2825 2865 \n",
+       "Q 2622 3097 2228 3097 \n",
+       "Q 1903 3097 1650 2945 \n",
+       "Q 1397 2794 1197 2484 \n",
+       "Q 1050 2253 970 1956 \n",
+       "Q 891 1659 891 1344 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-Oblique-75\" d=\"M 428 1388 \n",
+       "L 838 3500 \n",
+       "L 1416 3500 \n",
+       "L 1006 1409 \n",
+       "Q 975 1256 961 1147 \n",
+       "Q 947 1038 947 966 \n",
+       "Q 947 700 1109 554 \n",
+       "Q 1272 409 1569 409 \n",
+       "Q 2031 409 2368 721 \n",
+       "Q 2706 1034 2809 1563 \n",
+       "L 3194 3500 \n",
+       "L 3769 3500 \n",
+       "L 3091 0 \n",
+       "L 2516 0 \n",
+       "L 2631 550 \n",
+       "Q 2388 244 2052 76 \n",
+       "Q 1716 -91 1338 -91 \n",
+       "Q 878 -91 622 161 \n",
+       "Q 366 413 366 863 \n",
+       "Q 366 956 381 1097 \n",
+       "Q 397 1238 428 1388 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-Oblique-74\" d=\"M 2706 3500 \n",
+       "L 2619 3053 \n",
+       "L 1472 3053 \n",
+       "L 1100 1153 \n",
+       "Q 1081 1047 1072 975 \n",
+       "Q 1063 903 1063 863 \n",
+       "Q 1063 663 1183 572 \n",
+       "Q 1303 481 1569 481 \n",
+       "L 2150 481 \n",
+       "L 2053 0 \n",
+       "L 1503 0 \n",
+       "Q 991 0 739 200 \n",
+       "Q 488 400 488 806 \n",
+       "Q 488 878 497 964 \n",
+       "Q 506 1050 525 1153 \n",
+       "L 897 3053 \n",
+       "L 409 3053 \n",
+       "L 500 3500 \n",
+       "L 978 3500 \n",
+       "L 1172 4494 \n",
+       "L 1747 4494 \n",
+       "L 1556 3500 \n",
+       "L 2706 3500 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      </defs>\n",
+       "      <use xlink:href=\"#DejaVuSans-Oblique-3b4\" transform=\"translate(0 0.78125)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-Oblique-3c9\" transform=\"translate(61.181641 0.78125)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-Oblique-6f\" transform=\"translate(144.921875 -15.625) scale(0.7)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-Oblique-75\" transform=\"translate(187.749023 -15.625) scale(0.7)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-Oblique-74\" transform=\"translate(232.114258 -15.625) scale(0.7)\"/>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "   </g>\n",
+       "   <g id=\"patch_3\">\n",
+       "    <path d=\"M 58.523438 288.430125 \n",
+       "L 58.523438 22.318125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_4\">\n",
+       "    <path d=\"M 324.635437 288.430125 \n",
+       "L 324.635437 22.318125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_5\">\n",
+       "    <path d=\"M 58.523438 288.430125 \n",
+       "L 324.635437 288.430125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_6\">\n",
+       "    <path d=\"M 58.523438 22.318125 \n",
+       "L 324.635437 22.318125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"text_21\">\n",
+       "    <!-- JCA -->\n",
+       "    <g transform=\"translate(181.515375 16.318125) scale(0.12 -0.12)\">\n",
+       "     <defs>\n",
+       "      <path id=\"DejaVuSans-4a\" d=\"M 628 4666 \n",
+       "L 1259 4666 \n",
+       "L 1259 325 \n",
+       "Q 1259 -519 939 -900 \n",
+       "Q 619 -1281 -91 -1281 \n",
+       "L -331 -1281 \n",
+       "L -331 -750 \n",
+       "L -134 -750 \n",
+       "Q 284 -750 456 -515 \n",
+       "Q 628 -281 628 325 \n",
+       "L 628 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-43\" d=\"M 4122 4306 \n",
+       "L 4122 3641 \n",
+       "Q 3803 3938 3442 4084 \n",
+       "Q 3081 4231 2675 4231 \n",
+       "Q 1875 4231 1450 3742 \n",
+       "Q 1025 3253 1025 2328 \n",
+       "Q 1025 1406 1450 917 \n",
+       "Q 1875 428 2675 428 \n",
+       "Q 3081 428 3442 575 \n",
+       "Q 3803 722 4122 1019 \n",
+       "L 4122 359 \n",
+       "Q 3791 134 3420 21 \n",
+       "Q 3050 -91 2638 -91 \n",
+       "Q 1578 -91 968 557 \n",
+       "Q 359 1206 359 2328 \n",
+       "Q 359 3453 968 4101 \n",
+       "Q 1578 4750 2638 4750 \n",
+       "Q 3056 4750 3426 4639 \n",
+       "Q 3797 4528 4122 4306 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-41\" d=\"M 2188 4044 \n",
+       "L 1331 1722 \n",
+       "L 3047 1722 \n",
+       "L 2188 4044 \n",
+       "z\n",
+       "M 1831 4666 \n",
+       "L 2547 4666 \n",
+       "L 4325 0 \n",
+       "L 3669 0 \n",
+       "L 3244 1197 \n",
+       "L 1141 1197 \n",
+       "L 716 0 \n",
+       "L 50 0 \n",
+       "L 1831 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "     </defs>\n",
+       "     <use xlink:href=\"#DejaVuSans-4a\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-43\" x=\"29.492188\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-41\" x=\"99.316406\"/>\n",
+       "    </g>\n",
+       "   </g>\n",
+       "  </g>\n",
+       " </g>\n",
+       " <defs>\n",
+       "  <clipPath id=\"p00edeba22d\">\n",
+       "   <rect x=\"58.523438\" y=\"22.318125\" width=\"266.112\" height=\"266.112\"/>\n",
+       "  </clipPath>\n",
+       " </defs>\n",
+       "</svg>\n"
+      ],
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plt.imshow(np.abs(J), extent=[dw.min(), dw.max(), dw.min(), dw.max()])\n",
+    "plt.title(\"JCA\")\n",
+    "plt.xlabel(\"$\\delta\\omega_{in}$\")\n",
+    "plt.ylabel(\"$\\delta\\omega_{out}$\")"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "To extract information from the propagator, we can do a Schmidt decomposition. This yields the same information as an eigendecomposition of the numbers matrix, which is what we do by calling `get_schmidt`. From the function, we get the average number of photons generated, the vector of eigenvalues (Schmidt coefficients squared) and the eigenvectors (Schmidt modes)."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 31,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Average number of signal photons is 7.046517e-01\n"
+     ]
+    }
+   ],
+   "source": [
+    "Na, val, u = get_schmidt(prop)\n",
+    "txt = \"Average number of signal photons is {val:e}\"\n",
+    "print(txt.format(val=Na))"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "We can then select a mode to plot. Here is the first mode."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 32,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Text(0.5, 1.0, 'Schmidt mode 1')"
+      ]
+     },
+     "execution_count": 32,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
+       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
+       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
+       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"422.843437pt\" height=\"312.30825pt\" viewBox=\"0 0 422.843437 312.30825\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
+       " <metadata>\n",
+       "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
+       "   <cc:Work>\n",
+       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
+       "    <dc:date>2024-08-11T12:57:51.326580</dc:date>\n",
+       "    <dc:format>image/svg+xml</dc:format>\n",
+       "    <dc:creator>\n",
+       "     <cc:Agent>\n",
+       "      <dc:title>Matplotlib v3.7.2, https://matplotlib.org/</dc:title>\n",
+       "     </cc:Agent>\n",
+       "    </dc:creator>\n",
+       "   </cc:Work>\n",
+       "  </rdf:RDF>\n",
+       " </metadata>\n",
+       " <defs>\n",
+       "  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: butt}</style>\n",
+       " </defs>\n",
+       " <g id=\"figure_1\">\n",
+       "  <g id=\"patch_1\">\n",
+       "   <path d=\"M 0 312.30825 \n",
+       "L 422.843437 312.30825 \n",
+       "L 422.843437 0 \n",
+       "L 0 0 \n",
+       "z\n",
+       "\" style=\"fill: #ffffff\"/>\n",
+       "  </g>\n",
+       "  <g id=\"axes_1\">\n",
+       "   <g id=\"patch_2\">\n",
+       "    <path d=\"M 58.523438 288.430125 \n",
+       "L 415.643438 288.430125 \n",
+       "L 415.643438 22.318125 \n",
+       "L 58.523438 22.318125 \n",
+       "z\n",
+       "\" style=\"fill: #ffffff\"/>\n",
+       "   </g>\n",
+       "   <g id=\"matplotlib.axis_1\">\n",
+       "    <g id=\"xtick_1\">\n",
+       "     <g id=\"line2d_1\">\n",
+       "      <defs>\n",
+       "       <path id=\"mf6bfa32723\" d=\"M 0 0 \n",
+       "L 0 3.5 \n",
+       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </defs>\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#mf6bfa32723\" x=\"74.756165\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_1\">\n",
+       "      <!-- −10.0 -->\n",
+       "      <g transform=\"translate(59.433509 303.028562) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-2212\" d=\"M 678 2272 \n",
+       "L 4684 2272 \n",
+       "L 4684 1741 \n",
+       "L 678 1741 \n",
+       "L 678 2272 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "        <path id=\"DejaVuSans-31\" d=\"M 794 531 \n",
+       "L 1825 531 \n",
+       "L 1825 4091 \n",
+       "L 703 3866 \n",
+       "L 703 4441 \n",
+       "L 1819 4666 \n",
+       "L 2450 4666 \n",
+       "L 2450 531 \n",
+       "L 3481 531 \n",
+       "L 3481 0 \n",
+       "L 794 0 \n",
+       "L 794 531 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "        <path id=\"DejaVuSans-30\" d=\"M 2034 4250 \n",
+       "Q 1547 4250 1301 3770 \n",
+       "Q 1056 3291 1056 2328 \n",
+       "Q 1056 1369 1301 889 \n",
+       "Q 1547 409 2034 409 \n",
+       "Q 2525 409 2770 889 \n",
+       "Q 3016 1369 3016 2328 \n",
+       "Q 3016 3291 2770 3770 \n",
+       "Q 2525 4250 2034 4250 \n",
+       "z\n",
+       "M 2034 4750 \n",
+       "Q 2819 4750 3233 4129 \n",
+       "Q 3647 3509 3647 2328 \n",
+       "Q 3647 1150 3233 529 \n",
+       "Q 2819 -91 2034 -91 \n",
+       "Q 1250 -91 836 529 \n",
+       "Q 422 1150 422 2328 \n",
+       "Q 422 3509 836 4129 \n",
+       "Q 1250 4750 2034 4750 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "        <path id=\"DejaVuSans-2e\" d=\"M 684 794 \n",
+       "L 1344 794 \n",
+       "L 1344 0 \n",
+       "L 684 0 \n",
+       "L 684 794 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-31\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"211.035156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"242.822266\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_2\">\n",
+       "     <g id=\"line2d_2\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#mf6bfa32723\" x=\"115.337983\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_2\">\n",
+       "      <!-- −7.5 -->\n",
+       "      <g transform=\"translate(103.196577 303.028562) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-37\" d=\"M 525 4666 \n",
+       "L 3525 4666 \n",
+       "L 3525 4397 \n",
+       "L 1831 0 \n",
+       "L 1172 0 \n",
+       "L 2766 4134 \n",
+       "L 525 4134 \n",
+       "L 525 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "        <path id=\"DejaVuSans-35\" d=\"M 691 4666 \n",
+       "L 3169 4666 \n",
+       "L 3169 4134 \n",
+       "L 1269 4134 \n",
+       "L 1269 2991 \n",
+       "Q 1406 3038 1543 3061 \n",
+       "Q 1681 3084 1819 3084 \n",
+       "Q 2600 3084 3056 2656 \n",
+       "Q 3513 2228 3513 1497 \n",
+       "Q 3513 744 3044 326 \n",
+       "Q 2575 -91 1722 -91 \n",
+       "Q 1428 -91 1123 -41 \n",
+       "Q 819 9 494 109 \n",
+       "L 494 744 \n",
+       "Q 775 591 1075 516 \n",
+       "Q 1375 441 1709 441 \n",
+       "Q 2250 441 2565 725 \n",
+       "Q 2881 1009 2881 1497 \n",
+       "Q 2881 1984 2565 2268 \n",
+       "Q 2250 2553 1709 2553 \n",
+       "Q 1456 2553 1204 2497 \n",
+       "Q 953 2441 691 2322 \n",
+       "L 691 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-37\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"179.199219\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_3\">\n",
+       "     <g id=\"line2d_3\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#mf6bfa32723\" x=\"155.919801\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_3\">\n",
+       "      <!-- −5.0 -->\n",
+       "      <g transform=\"translate(143.778395 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"179.199219\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_4\">\n",
+       "     <g id=\"line2d_4\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#mf6bfa32723\" x=\"196.501619\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_4\">\n",
+       "      <!-- −2.5 -->\n",
+       "      <g transform=\"translate(184.360213 303.028562) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-32\" d=\"M 1228 531 \n",
+       "L 3431 531 \n",
+       "L 3431 0 \n",
+       "L 469 0 \n",
+       "L 469 531 \n",
+       "Q 828 903 1448 1529 \n",
+       "Q 2069 2156 2228 2338 \n",
+       "Q 2531 2678 2651 2914 \n",
+       "Q 2772 3150 2772 3378 \n",
+       "Q 2772 3750 2511 3984 \n",
+       "Q 2250 4219 1831 4219 \n",
+       "Q 1534 4219 1204 4116 \n",
+       "Q 875 4013 500 3803 \n",
+       "L 500 4441 \n",
+       "Q 881 4594 1212 4672 \n",
+       "Q 1544 4750 1819 4750 \n",
+       "Q 2544 4750 2975 4387 \n",
+       "Q 3406 4025 3406 3419 \n",
+       "Q 3406 3131 3298 2873 \n",
+       "Q 3191 2616 2906 2266 \n",
+       "Q 2828 2175 2409 1742 \n",
+       "Q 1991 1309 1228 531 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-32\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"179.199219\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_5\">\n",
+       "     <g id=\"line2d_5\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#mf6bfa32723\" x=\"237.083438\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_5\">\n",
+       "      <!-- 0.0 -->\n",
+       "      <g transform=\"translate(229.131875 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_6\">\n",
+       "     <g id=\"line2d_6\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#mf6bfa32723\" x=\"277.665256\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_6\">\n",
+       "      <!-- 2.5 -->\n",
+       "      <g transform=\"translate(269.713693 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_7\">\n",
+       "     <g id=\"line2d_7\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#mf6bfa32723\" x=\"318.247074\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_7\">\n",
+       "      <!-- 5.0 -->\n",
+       "      <g transform=\"translate(310.295511 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-35\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_8\">\n",
+       "     <g id=\"line2d_8\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#mf6bfa32723\" x=\"358.828892\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_8\">\n",
+       "      <!-- 7.5 -->\n",
+       "      <g transform=\"translate(350.87733 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-37\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_9\">\n",
+       "     <g id=\"line2d_9\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#mf6bfa32723\" x=\"399.41071\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_9\">\n",
+       "      <!-- 10.0 -->\n",
+       "      <g transform=\"translate(388.277898 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"127.246094\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "   </g>\n",
+       "   <g id=\"matplotlib.axis_2\">\n",
+       "    <g id=\"ytick_1\">\n",
+       "     <g id=\"line2d_10\">\n",
+       "      <defs>\n",
+       "       <path id=\"m1873995b97\" d=\"M 0 0 \n",
+       "L -3.5 0 \n",
+       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </defs>\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m1873995b97\" x=\"58.523438\" y=\"266.086106\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_10\">\n",
+       "      <!-- −0.10 -->\n",
+       "      <g transform=\"translate(20.878125 269.885324) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-31\" x=\"179.199219\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"242.822266\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_2\">\n",
+       "     <g id=\"line2d_11\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m1873995b97\" x=\"58.523438\" y=\"227.856381\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_11\">\n",
+       "      <!-- −0.05 -->\n",
+       "      <g transform=\"translate(20.878125 231.655599) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"179.199219\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"242.822266\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_3\">\n",
+       "     <g id=\"line2d_12\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m1873995b97\" x=\"58.523438\" y=\"189.626656\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_12\">\n",
+       "      <!-- 0.00 -->\n",
+       "      <g transform=\"translate(29.257813 193.425874) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_4\">\n",
+       "     <g id=\"line2d_13\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m1873995b97\" x=\"58.523438\" y=\"151.396931\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_13\">\n",
+       "      <!-- 0.05 -->\n",
+       "      <g transform=\"translate(29.257813 155.196149) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"159.033203\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_5\">\n",
+       "     <g id=\"line2d_14\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m1873995b97\" x=\"58.523438\" y=\"113.167206\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_14\">\n",
+       "      <!-- 0.10 -->\n",
+       "      <g transform=\"translate(29.257813 116.966424) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-31\" x=\"95.410156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_6\">\n",
+       "     <g id=\"line2d_15\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m1873995b97\" x=\"58.523438\" y=\"74.937481\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_15\">\n",
+       "      <!-- 0.15 -->\n",
+       "      <g transform=\"translate(29.257813 78.736699) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-31\" x=\"95.410156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"159.033203\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_7\">\n",
+       "     <g id=\"line2d_16\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m1873995b97\" x=\"58.523438\" y=\"36.707756\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_16\">\n",
+       "      <!-- 0.20 -->\n",
+       "      <g transform=\"translate(29.257813 40.506974) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-32\" x=\"95.410156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"text_17\">\n",
+       "     <!-- Amplitude -->\n",
+       "     <g transform=\"translate(14.798438 180.996781) rotate(-90) scale(0.1 -0.1)\">\n",
+       "      <defs>\n",
+       "       <path id=\"DejaVuSans-41\" d=\"M 2188 4044 \n",
+       "L 1331 1722 \n",
+       "L 3047 1722 \n",
+       "L 2188 4044 \n",
+       "z\n",
+       "M 1831 4666 \n",
+       "L 2547 4666 \n",
+       "L 4325 0 \n",
+       "L 3669 0 \n",
+       "L 3244 1197 \n",
+       "L 1141 1197 \n",
+       "L 716 0 \n",
+       "L 50 0 \n",
+       "L 1831 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-6d\" d=\"M 3328 2828 \n",
+       "Q 3544 3216 3844 3400 \n",
+       "Q 4144 3584 4550 3584 \n",
+       "Q 5097 3584 5394 3201 \n",
+       "Q 5691 2819 5691 2113 \n",
+       "L 5691 0 \n",
+       "L 5113 0 \n",
+       "L 5113 2094 \n",
+       "Q 5113 2597 4934 2840 \n",
+       "Q 4756 3084 4391 3084 \n",
+       "Q 3944 3084 3684 2787 \n",
+       "Q 3425 2491 3425 1978 \n",
+       "L 3425 0 \n",
+       "L 2847 0 \n",
+       "L 2847 2094 \n",
+       "Q 2847 2600 2669 2842 \n",
+       "Q 2491 3084 2119 3084 \n",
+       "Q 1678 3084 1418 2786 \n",
+       "Q 1159 2488 1159 1978 \n",
+       "L 1159 0 \n",
+       "L 581 0 \n",
+       "L 581 3500 \n",
+       "L 1159 3500 \n",
+       "L 1159 2956 \n",
+       "Q 1356 3278 1631 3431 \n",
+       "Q 1906 3584 2284 3584 \n",
+       "Q 2666 3584 2933 3390 \n",
+       "Q 3200 3197 3328 2828 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-70\" d=\"M 1159 525 \n",
+       "L 1159 -1331 \n",
+       "L 581 -1331 \n",
+       "L 581 3500 \n",
+       "L 1159 3500 \n",
+       "L 1159 2969 \n",
+       "Q 1341 3281 1617 3432 \n",
+       "Q 1894 3584 2278 3584 \n",
+       "Q 2916 3584 3314 3078 \n",
+       "Q 3713 2572 3713 1747 \n",
+       "Q 3713 922 3314 415 \n",
+       "Q 2916 -91 2278 -91 \n",
+       "Q 1894 -91 1617 61 \n",
+       "Q 1341 213 1159 525 \n",
+       "z\n",
+       "M 3116 1747 \n",
+       "Q 3116 2381 2855 2742 \n",
+       "Q 2594 3103 2138 3103 \n",
+       "Q 1681 3103 1420 2742 \n",
+       "Q 1159 2381 1159 1747 \n",
+       "Q 1159 1113 1420 752 \n",
+       "Q 1681 391 2138 391 \n",
+       "Q 2594 391 2855 752 \n",
+       "Q 3116 1113 3116 1747 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-6c\" d=\"M 603 4863 \n",
+       "L 1178 4863 \n",
+       "L 1178 0 \n",
+       "L 603 0 \n",
+       "L 603 4863 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-69\" d=\"M 603 3500 \n",
+       "L 1178 3500 \n",
+       "L 1178 0 \n",
+       "L 603 0 \n",
+       "L 603 3500 \n",
+       "z\n",
+       "M 603 4863 \n",
+       "L 1178 4863 \n",
+       "L 1178 4134 \n",
+       "L 603 4134 \n",
+       "L 603 4863 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-74\" d=\"M 1172 4494 \n",
+       "L 1172 3500 \n",
+       "L 2356 3500 \n",
+       "L 2356 3053 \n",
+       "L 1172 3053 \n",
+       "L 1172 1153 \n",
+       "Q 1172 725 1289 603 \n",
+       "Q 1406 481 1766 481 \n",
+       "L 2356 481 \n",
+       "L 2356 0 \n",
+       "L 1766 0 \n",
+       "Q 1100 0 847 248 \n",
+       "Q 594 497 594 1153 \n",
+       "L 594 3053 \n",
+       "L 172 3053 \n",
+       "L 172 3500 \n",
+       "L 594 3500 \n",
+       "L 594 4494 \n",
+       "L 1172 4494 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-75\" d=\"M 544 1381 \n",
+       "L 544 3500 \n",
+       "L 1119 3500 \n",
+       "L 1119 1403 \n",
+       "Q 1119 906 1312 657 \n",
+       "Q 1506 409 1894 409 \n",
+       "Q 2359 409 2629 706 \n",
+       "Q 2900 1003 2900 1516 \n",
+       "L 2900 3500 \n",
+       "L 3475 3500 \n",
+       "L 3475 0 \n",
+       "L 2900 0 \n",
+       "L 2900 538 \n",
+       "Q 2691 219 2414 64 \n",
+       "Q 2138 -91 1772 -91 \n",
+       "Q 1169 -91 856 284 \n",
+       "Q 544 659 544 1381 \n",
+       "z\n",
+       "M 1991 3584 \n",
+       "L 1991 3584 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-64\" d=\"M 2906 2969 \n",
+       "L 2906 4863 \n",
+       "L 3481 4863 \n",
+       "L 3481 0 \n",
+       "L 2906 0 \n",
+       "L 2906 525 \n",
+       "Q 2725 213 2448 61 \n",
+       "Q 2172 -91 1784 -91 \n",
+       "Q 1150 -91 751 415 \n",
+       "Q 353 922 353 1747 \n",
+       "Q 353 2572 751 3078 \n",
+       "Q 1150 3584 1784 3584 \n",
+       "Q 2172 3584 2448 3432 \n",
+       "Q 2725 3281 2906 2969 \n",
+       "z\n",
+       "M 947 1747 \n",
+       "Q 947 1113 1208 752 \n",
+       "Q 1469 391 1925 391 \n",
+       "Q 2381 391 2643 752 \n",
+       "Q 2906 1113 2906 1747 \n",
+       "Q 2906 2381 2643 2742 \n",
+       "Q 2381 3103 1925 3103 \n",
+       "Q 1469 3103 1208 2742 \n",
+       "Q 947 2381 947 1747 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-65\" d=\"M 3597 1894 \n",
+       "L 3597 1613 \n",
+       "L 953 1613 \n",
+       "Q 991 1019 1311 708 \n",
+       "Q 1631 397 2203 397 \n",
+       "Q 2534 397 2845 478 \n",
+       "Q 3156 559 3463 722 \n",
+       "L 3463 178 \n",
+       "Q 3153 47 2828 -22 \n",
+       "Q 2503 -91 2169 -91 \n",
+       "Q 1331 -91 842 396 \n",
+       "Q 353 884 353 1716 \n",
+       "Q 353 2575 817 3079 \n",
+       "Q 1281 3584 2069 3584 \n",
+       "Q 2775 3584 3186 3129 \n",
+       "Q 3597 2675 3597 1894 \n",
+       "z\n",
+       "M 3022 2063 \n",
+       "Q 3016 2534 2758 2815 \n",
+       "Q 2500 3097 2075 3097 \n",
+       "Q 1594 3097 1305 2825 \n",
+       "Q 1016 2553 972 2059 \n",
+       "L 3022 2063 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      </defs>\n",
+       "      <use xlink:href=\"#DejaVuSans-41\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6d\" x=\"68.408203\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-70\" x=\"165.820312\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6c\" x=\"229.296875\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-69\" x=\"257.080078\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-74\" x=\"284.863281\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-75\" x=\"324.072266\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-64\" x=\"387.451172\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-65\" x=\"450.927734\"/>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "   </g>\n",
+       "   <g id=\"line2d_17\">\n",
+       "    <path d=\"M 74.756165 189.626655 \n",
+       "L 172.152528 189.561494 \n",
+       "L 176.481256 189.288681 \n",
+       "L 179.727801 188.89697 \n",
+       "L 189.467437 187.475468 \n",
+       "L 191.631801 187.643736 \n",
+       "L 192.713983 187.896462 \n",
+       "L 193.796165 188.286303 \n",
+       "L 194.878347 188.829142 \n",
+       "L 195.960528 189.537124 \n",
+       "L 197.04271 190.417185 \n",
+       "L 198.124892 191.469541 \n",
+       "L 200.289256 194.049586 \n",
+       "L 203.535801 198.67802 \n",
+       "L 205.700165 201.660552 \n",
+       "L 206.782347 202.893802 \n",
+       "L 207.864528 203.830431 \n",
+       "L 208.94671 204.368109 \n",
+       "L 210.028892 204.400791 \n",
+       "L 211.111074 203.822173 \n",
+       "L 212.193256 202.529606 \n",
+       "L 213.275438 200.428319 \n",
+       "L 214.357619 197.435823 \n",
+       "L 215.439801 193.486297 \n",
+       "L 216.521983 188.534778 \n",
+       "L 217.604165 182.560948 \n",
+       "L 218.686347 175.572316 \n",
+       "L 219.768528 167.606607 \n",
+       "L 221.932892 149.053452 \n",
+       "L 224.097256 127.834121 \n",
+       "L 229.508165 73.007973 \n",
+       "L 230.590347 63.544095 \n",
+       "L 231.672528 55.111894 \n",
+       "L 232.75471 47.911929 \n",
+       "L 233.836892 42.118642 \n",
+       "L 234.919074 37.874417 \n",
+       "L 236.001256 35.284658 \n",
+       "L 237.083438 34.414125 \n",
+       "L 238.165619 35.284658 \n",
+       "L 239.247801 37.874417 \n",
+       "L 240.329983 42.118642 \n",
+       "L 241.412165 47.911929 \n",
+       "L 242.494347 55.111894 \n",
+       "L 243.576528 63.544095 \n",
+       "L 245.740892 83.283585 \n",
+       "L 248.987437 116.643534 \n",
+       "L 251.151801 138.699894 \n",
+       "L 253.316165 158.733196 \n",
+       "L 255.480528 175.572316 \n",
+       "L 256.56271 182.560948 \n",
+       "L 257.644892 188.534778 \n",
+       "L 258.727074 193.486297 \n",
+       "L 259.809256 197.435823 \n",
+       "L 260.891437 200.428319 \n",
+       "L 261.973619 202.529606 \n",
+       "L 263.055801 203.822173 \n",
+       "L 264.137983 204.400791 \n",
+       "L 265.220165 204.368109 \n",
+       "L 266.302347 203.830431 \n",
+       "L 267.384528 202.893802 \n",
+       "L 268.46671 201.660552 \n",
+       "L 270.631074 198.67802 \n",
+       "L 273.877619 194.049586 \n",
+       "L 276.041983 191.469541 \n",
+       "L 277.124165 190.417185 \n",
+       "L 278.206347 189.537124 \n",
+       "L 279.288528 188.829142 \n",
+       "L 280.37071 188.286303 \n",
+       "L 281.452892 187.896462 \n",
+       "L 282.535074 187.643736 \n",
+       "L 284.699437 187.475468 \n",
+       "L 286.863801 187.62784 \n",
+       "L 290.110347 188.152249 \n",
+       "L 295.521256 189.046988 \n",
+       "L 298.767801 189.381018 \n",
+       "L 303.096528 189.596078 \n",
+       "L 310.671801 189.663756 \n",
+       "L 399.41071 189.626655 \n",
+       "L 399.41071 189.626655 \n",
+       "\" clip-path=\"url(#p5bed510f12)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"line2d_18\">\n",
+       "    <path d=\"M 74.756165 189.626656 \n",
+       "L 169.988165 189.726463 \n",
+       "L 179.727801 189.846772 \n",
+       "L 182.974347 189.618398 \n",
+       "L 185.13871 189.276098 \n",
+       "L 187.303074 188.743764 \n",
+       "L 189.467437 188.022351 \n",
+       "L 194.878347 185.938565 \n",
+       "L 195.960528 185.660396 \n",
+       "L 197.04271 185.513415 \n",
+       "L 198.124892 185.545004 \n",
+       "L 199.207074 185.806667 \n",
+       "L 200.289256 186.352669 \n",
+       "L 201.371438 187.238296 \n",
+       "L 202.453619 188.517767 \n",
+       "L 203.535801 190.241837 \n",
+       "L 204.617983 192.455171 \n",
+       "L 205.700165 195.193556 \n",
+       "L 206.782347 198.481093 \n",
+       "L 207.864528 202.327464 \n",
+       "L 208.94671 206.725434 \n",
+       "L 211.111074 217.050388 \n",
+       "L 213.275438 228.992703 \n",
+       "L 217.604165 254.19908 \n",
+       "L 219.768528 265.024657 \n",
+       "L 220.85071 269.389696 \n",
+       "L 221.932892 272.829767 \n",
+       "L 223.015074 275.189868 \n",
+       "L 224.097256 276.334125 \n",
+       "L 225.179437 276.151472 \n",
+       "L 226.261619 274.560742 \n",
+       "L 227.343801 271.514918 \n",
+       "L 228.425983 267.004326 \n",
+       "L 229.508165 261.058605 \n",
+       "L 230.590347 253.747315 \n",
+       "L 231.672528 245.179112 \n",
+       "L 233.836892 224.887093 \n",
+       "L 236.001256 201.713887 \n",
+       "L 240.329983 154.366218 \n",
+       "L 242.494347 134.074199 \n",
+       "L 243.576528 125.505997 \n",
+       "L 244.65871 118.194707 \n",
+       "L 245.740892 112.248986 \n",
+       "L 246.823074 107.738393 \n",
+       "L 247.905256 104.692569 \n",
+       "L 248.987437 103.101839 \n",
+       "L 250.069619 102.919186 \n",
+       "L 251.151801 104.063443 \n",
+       "L 252.233983 106.423544 \n",
+       "L 253.316165 109.863615 \n",
+       "L 254.398347 114.228654 \n",
+       "L 255.480528 119.350558 \n",
+       "L 257.644892 131.163529 \n",
+       "L 261.973619 156.391458 \n",
+       "L 264.137983 167.604588 \n",
+       "L 265.220165 172.527877 \n",
+       "L 266.302347 176.925847 \n",
+       "L 267.384528 180.772218 \n",
+       "L 268.46671 184.059755 \n",
+       "L 269.548892 186.79814 \n",
+       "L 270.631074 189.011474 \n",
+       "L 271.713256 190.735545 \n",
+       "L 272.795437 192.015015 \n",
+       "L 273.877619 192.900642 \n",
+       "L 274.959801 193.446644 \n",
+       "L 276.041983 193.708307 \n",
+       "L 277.124165 193.739896 \n",
+       "L 278.206347 193.592915 \n",
+       "L 280.37071 192.947661 \n",
+       "L 286.863801 190.509547 \n",
+       "L 289.028165 189.977213 \n",
+       "L 291.192528 189.634913 \n",
+       "L 294.439074 189.406539 \n",
+       "L 298.767801 189.40585 \n",
+       "L 313.918347 189.621582 \n",
+       "L 358.287801 189.626611 \n",
+       "L 399.41071 189.626655 \n",
+       "L 399.41071 189.626655 \n",
+       "\" clip-path=\"url(#p5bed510f12)\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"line2d_19\">\n",
+       "    <path d=\"M 74.756165 189.626655 \n",
+       "L 169.988165 189.526702 \n",
+       "L 175.399074 189.296363 \n",
+       "L 179.727801 188.864493 \n",
+       "L 184.056528 188.143906 \n",
+       "L 190.549619 186.699621 \n",
+       "L 194.878347 185.853323 \n",
+       "L 197.04271 185.438137 \n",
+       "L 198.124892 185.148251 \n",
+       "L 199.207074 184.732464 \n",
+       "L 200.289256 184.123811 \n",
+       "L 201.371438 183.257205 \n",
+       "L 202.453619 182.079837 \n",
+       "L 203.535801 180.55441 \n",
+       "L 204.617983 178.65603 \n",
+       "L 205.700165 176.367506 \n",
+       "L 206.782347 173.676162 \n",
+       "L 207.864528 170.572581 \n",
+       "L 208.94671 167.050591 \n",
+       "L 211.111074 158.746666 \n",
+       "L 213.275438 148.805562 \n",
+       "L 215.439801 137.36411 \n",
+       "L 217.604165 124.668806 \n",
+       "L 220.85071 104.089831 \n",
+       "L 225.179437 76.43178 \n",
+       "L 227.343801 63.834717 \n",
+       "L 229.508165 52.869789 \n",
+       "L 230.590347 48.17606 \n",
+       "L 231.672528 44.092136 \n",
+       "L 232.75471 40.672367 \n",
+       "L 233.836892 37.962842 \n",
+       "L 234.919074 36.000442 \n",
+       "L 236.001256 34.812079 \n",
+       "L 237.083438 34.414125 \n",
+       "L 238.165619 34.812079 \n",
+       "L 239.247801 36.000442 \n",
+       "L 240.329983 37.962842 \n",
+       "L 241.412165 40.672367 \n",
+       "L 242.494347 44.092136 \n",
+       "L 243.576528 48.17606 \n",
+       "L 244.65871 52.869789 \n",
+       "L 246.823074 63.834717 \n",
+       "L 248.987437 76.43178 \n",
+       "L 252.233983 97.058073 \n",
+       "L 256.56271 124.668806 \n",
+       "L 258.727074 137.36411 \n",
+       "L 260.891437 148.805562 \n",
+       "L 263.055801 158.746666 \n",
+       "L 265.220165 167.050591 \n",
+       "L 266.302347 170.572581 \n",
+       "L 267.384528 173.676162 \n",
+       "L 268.46671 176.367506 \n",
+       "L 269.548892 178.65603 \n",
+       "L 270.631074 180.55441 \n",
+       "L 271.713256 182.079837 \n",
+       "L 272.795437 183.257205 \n",
+       "L 273.877619 184.123811 \n",
+       "L 274.959801 184.732464 \n",
+       "L 276.041983 185.148251 \n",
+       "L 278.206347 185.659385 \n",
+       "L 283.617256 186.699621 \n",
+       "L 292.27471 188.540682 \n",
+       "L 296.603437 189.114276 \n",
+       "L 300.932165 189.421149 \n",
+       "L 306.343074 189.559702 \n",
+       "L 324.740165 189.614447 \n",
+       "L 399.41071 189.626655 \n",
+       "L 399.41071 189.626655 \n",
+       "\" clip-path=\"url(#p5bed510f12)\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_3\">\n",
+       "    <path d=\"M 58.523438 288.430125 \n",
+       "L 58.523438 22.318125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_4\">\n",
+       "    <path d=\"M 415.643438 288.430125 \n",
+       "L 415.643438 22.318125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_5\">\n",
+       "    <path d=\"M 58.523438 288.430125 \n",
+       "L 415.643438 288.430125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_6\">\n",
+       "    <path d=\"M 58.523438 22.318125 \n",
+       "L 415.643438 22.318125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"text_18\">\n",
+       "    <!-- Schmidt mode 1 -->\n",
+       "    <g transform=\"translate(187.8525 16.318125) scale(0.12 -0.12)\">\n",
+       "     <defs>\n",
+       "      <path id=\"DejaVuSans-53\" d=\"M 3425 4513 \n",
+       "L 3425 3897 \n",
+       "Q 3066 4069 2747 4153 \n",
+       "Q 2428 4238 2131 4238 \n",
+       "Q 1616 4238 1336 4038 \n",
+       "Q 1056 3838 1056 3469 \n",
+       "Q 1056 3159 1242 3001 \n",
+       "Q 1428 2844 1947 2747 \n",
+       "L 2328 2669 \n",
+       "Q 3034 2534 3370 2195 \n",
+       "Q 3706 1856 3706 1288 \n",
+       "Q 3706 609 3251 259 \n",
+       "Q 2797 -91 1919 -91 \n",
+       "Q 1588 -91 1214 -16 \n",
+       "Q 841 59 441 206 \n",
+       "L 441 856 \n",
+       "Q 825 641 1194 531 \n",
+       "Q 1563 422 1919 422 \n",
+       "Q 2459 422 2753 634 \n",
+       "Q 3047 847 3047 1241 \n",
+       "Q 3047 1584 2836 1778 \n",
+       "Q 2625 1972 2144 2069 \n",
+       "L 1759 2144 \n",
+       "Q 1053 2284 737 2584 \n",
+       "Q 422 2884 422 3419 \n",
+       "Q 422 4038 858 4394 \n",
+       "Q 1294 4750 2059 4750 \n",
+       "Q 2388 4750 2728 4690 \n",
+       "Q 3069 4631 3425 4513 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-63\" d=\"M 3122 3366 \n",
+       "L 3122 2828 \n",
+       "Q 2878 2963 2633 3030 \n",
+       "Q 2388 3097 2138 3097 \n",
+       "Q 1578 3097 1268 2742 \n",
+       "Q 959 2388 959 1747 \n",
+       "Q 959 1106 1268 751 \n",
+       "Q 1578 397 2138 397 \n",
+       "Q 2388 397 2633 464 \n",
+       "Q 2878 531 3122 666 \n",
+       "L 3122 134 \n",
+       "Q 2881 22 2623 -34 \n",
+       "Q 2366 -91 2075 -91 \n",
+       "Q 1284 -91 818 406 \n",
+       "Q 353 903 353 1747 \n",
+       "Q 353 2603 823 3093 \n",
+       "Q 1294 3584 2113 3584 \n",
+       "Q 2378 3584 2631 3529 \n",
+       "Q 2884 3475 3122 3366 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-68\" d=\"M 3513 2113 \n",
+       "L 3513 0 \n",
+       "L 2938 0 \n",
+       "L 2938 2094 \n",
+       "Q 2938 2591 2744 2837 \n",
+       "Q 2550 3084 2163 3084 \n",
+       "Q 1697 3084 1428 2787 \n",
+       "Q 1159 2491 1159 1978 \n",
+       "L 1159 0 \n",
+       "L 581 0 \n",
+       "L 581 4863 \n",
+       "L 1159 4863 \n",
+       "L 1159 2956 \n",
+       "Q 1366 3272 1645 3428 \n",
+       "Q 1925 3584 2291 3584 \n",
+       "Q 2894 3584 3203 3211 \n",
+       "Q 3513 2838 3513 2113 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-20\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-6f\" d=\"M 1959 3097 \n",
+       "Q 1497 3097 1228 2736 \n",
+       "Q 959 2375 959 1747 \n",
+       "Q 959 1119 1226 758 \n",
+       "Q 1494 397 1959 397 \n",
+       "Q 2419 397 2687 759 \n",
+       "Q 2956 1122 2956 1747 \n",
+       "Q 2956 2369 2687 2733 \n",
+       "Q 2419 3097 1959 3097 \n",
+       "z\n",
+       "M 1959 3584 \n",
+       "Q 2709 3584 3137 3096 \n",
+       "Q 3566 2609 3566 1747 \n",
+       "Q 3566 888 3137 398 \n",
+       "Q 2709 -91 1959 -91 \n",
+       "Q 1206 -91 779 398 \n",
+       "Q 353 888 353 1747 \n",
+       "Q 353 2609 779 3096 \n",
+       "Q 1206 3584 1959 3584 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "     </defs>\n",
+       "     <use xlink:href=\"#DejaVuSans-53\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-63\" x=\"63.476562\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-68\" x=\"118.457031\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-6d\" x=\"181.835938\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-69\" x=\"279.248047\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-64\" x=\"307.03125\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-74\" x=\"370.507812\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-20\" x=\"409.716797\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-6d\" x=\"441.503906\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-6f\" x=\"538.916016\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-64\" x=\"600.097656\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-65\" x=\"663.574219\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-20\" x=\"725.097656\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-31\" x=\"756.884766\"/>\n",
+       "    </g>\n",
+       "   </g>\n",
+       "   <g id=\"legend_1\">\n",
+       "    <g id=\"patch_7\">\n",
+       "     <path d=\"M 358.245 74.3525 \n",
+       "L 408.643438 74.3525 \n",
+       "Q 410.643438 74.3525 410.643438 72.3525 \n",
+       "L 410.643438 29.318125 \n",
+       "Q 410.643438 27.318125 408.643438 27.318125 \n",
+       "L 358.245 27.318125 \n",
+       "Q 356.245 27.318125 356.245 29.318125 \n",
+       "L 356.245 72.3525 \n",
+       "Q 356.245 74.3525 358.245 74.3525 \n",
+       "z\n",
+       "\" style=\"fill: #ffffff; opacity: 0.8; stroke: #cccccc; stroke-linejoin: miter\"/>\n",
+       "    </g>\n",
+       "    <g id=\"line2d_20\">\n",
+       "     <path d=\"M 360.245 35.416562 \n",
+       "L 370.245 35.416562 \n",
+       "L 380.245 35.416562 \n",
+       "\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "    </g>\n",
+       "    <g id=\"text_19\">\n",
+       "     <!-- Re -->\n",
+       "     <g transform=\"translate(388.245 38.916562) scale(0.1 -0.1)\">\n",
+       "      <defs>\n",
+       "       <path id=\"DejaVuSans-52\" d=\"M 2841 2188 \n",
+       "Q 3044 2119 3236 1894 \n",
+       "Q 3428 1669 3622 1275 \n",
+       "L 4263 0 \n",
+       "L 3584 0 \n",
+       "L 2988 1197 \n",
+       "Q 2756 1666 2539 1819 \n",
+       "Q 2322 1972 1947 1972 \n",
+       "L 1259 1972 \n",
+       "L 1259 0 \n",
+       "L 628 0 \n",
+       "L 628 4666 \n",
+       "L 2053 4666 \n",
+       "Q 2853 4666 3247 4331 \n",
+       "Q 3641 3997 3641 3322 \n",
+       "Q 3641 2881 3436 2590 \n",
+       "Q 3231 2300 2841 2188 \n",
+       "z\n",
+       "M 1259 4147 \n",
+       "L 1259 2491 \n",
+       "L 2053 2491 \n",
+       "Q 2509 2491 2742 2702 \n",
+       "Q 2975 2913 2975 3322 \n",
+       "Q 2975 3731 2742 3939 \n",
+       "Q 2509 4147 2053 4147 \n",
+       "L 1259 4147 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      </defs>\n",
+       "      <use xlink:href=\"#DejaVuSans-52\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-65\" x=\"64.982422\"/>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"line2d_21\">\n",
+       "     <path d=\"M 360.245 50.094687 \n",
+       "L 370.245 50.094687 \n",
+       "L 380.245 50.094687 \n",
+       "\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "    </g>\n",
+       "    <g id=\"text_20\">\n",
+       "     <!-- Im -->\n",
+       "     <g transform=\"translate(388.245 53.594687) scale(0.1 -0.1)\">\n",
+       "      <defs>\n",
+       "       <path id=\"DejaVuSans-49\" d=\"M 628 4666 \n",
+       "L 1259 4666 \n",
+       "L 1259 0 \n",
+       "L 628 0 \n",
+       "L 628 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      </defs>\n",
+       "      <use xlink:href=\"#DejaVuSans-49\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6d\" x=\"29.492188\"/>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"line2d_22\">\n",
+       "     <path d=\"M 360.245 64.772812 \n",
+       "L 370.245 64.772812 \n",
+       "L 380.245 64.772812 \n",
+       "\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "    </g>\n",
+       "    <g id=\"text_21\">\n",
+       "     <!-- Abs -->\n",
+       "     <g transform=\"translate(388.245 68.272812) scale(0.1 -0.1)\">\n",
+       "      <defs>\n",
+       "       <path id=\"DejaVuSans-62\" d=\"M 3116 1747 \n",
+       "Q 3116 2381 2855 2742 \n",
+       "Q 2594 3103 2138 3103 \n",
+       "Q 1681 3103 1420 2742 \n",
+       "Q 1159 2381 1159 1747 \n",
+       "Q 1159 1113 1420 752 \n",
+       "Q 1681 391 2138 391 \n",
+       "Q 2594 391 2855 752 \n",
+       "Q 3116 1113 3116 1747 \n",
+       "z\n",
+       "M 1159 2969 \n",
+       "Q 1341 3281 1617 3432 \n",
+       "Q 1894 3584 2278 3584 \n",
+       "Q 2916 3584 3314 3078 \n",
+       "Q 3713 2572 3713 1747 \n",
+       "Q 3713 922 3314 415 \n",
+       "Q 2916 -91 2278 -91 \n",
+       "Q 1894 -91 1617 61 \n",
+       "Q 1341 213 1159 525 \n",
+       "L 1159 0 \n",
+       "L 581 0 \n",
+       "L 581 4863 \n",
+       "L 1159 4863 \n",
+       "L 1159 2969 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-73\" d=\"M 2834 3397 \n",
+       "L 2834 2853 \n",
+       "Q 2591 2978 2328 3040 \n",
+       "Q 2066 3103 1784 3103 \n",
+       "Q 1356 3103 1142 2972 \n",
+       "Q 928 2841 928 2578 \n",
+       "Q 928 2378 1081 2264 \n",
+       "Q 1234 2150 1697 2047 \n",
+       "L 1894 2003 \n",
+       "Q 2506 1872 2764 1633 \n",
+       "Q 3022 1394 3022 966 \n",
+       "Q 3022 478 2636 193 \n",
+       "Q 2250 -91 1575 -91 \n",
+       "Q 1294 -91 989 -36 \n",
+       "Q 684 19 347 128 \n",
+       "L 347 722 \n",
+       "Q 666 556 975 473 \n",
+       "Q 1284 391 1588 391 \n",
+       "Q 1994 391 2212 530 \n",
+       "Q 2431 669 2431 922 \n",
+       "Q 2431 1156 2273 1281 \n",
+       "Q 2116 1406 1581 1522 \n",
+       "L 1381 1569 \n",
+       "Q 847 1681 609 1914 \n",
+       "Q 372 2147 372 2553 \n",
+       "Q 372 3047 722 3315 \n",
+       "Q 1072 3584 1716 3584 \n",
+       "Q 2034 3584 2315 3537 \n",
+       "Q 2597 3491 2834 3397 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      </defs>\n",
+       "      <use xlink:href=\"#DejaVuSans-41\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-62\" x=\"68.408203\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-73\" x=\"131.884766\"/>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "   </g>\n",
+       "  </g>\n",
+       " </g>\n",
+       " <defs>\n",
+       "  <clipPath id=\"p5bed510f12\">\n",
+       "   <rect x=\"58.523438\" y=\"22.318125\" width=\"357.12\" height=\"266.112\"/>\n",
+       "  </clipPath>\n",
+       " </defs>\n",
+       "</svg>\n"
+      ],
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "mark = 1 # number of the Schmidt mode to plot\n",
+    "\n",
+    "mode = np.exp(-1j * np.angle(u[(N - 1) // 2, mark-1])) * u[:, mark-1] # applying a phase so that the imaginary part is 0 at 0\n",
+    "plt.plot(dw, np.real(mode), label=\"Re\")\n",
+    "plt.plot(dw, np.imag(mode), label=\"Im\")\n",
+    "plt.plot(dw, np.abs(mode), label=\"Abs\")\n",
+    "plt.legend()\n",
+    "plt.ylabel(\"Amplitude\")\n",
+    "plt.title(\"Schmidt mode \" + str(mark))"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "We can also make a bar plot of the conversion efficiencies for each mode. Here we do the first 10 modes."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 33,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "(0.0, 1.1)"
+      ]
+     },
+     "execution_count": 33,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
+       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
+       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
+       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"409.223125pt\" height=\"325.986375pt\" viewBox=\"0 0 409.223125 325.986375\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
+       " <metadata>\n",
+       "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
+       "   <cc:Work>\n",
+       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
+       "    <dc:date>2024-08-11T12:57:51.495201</dc:date>\n",
+       "    <dc:format>image/svg+xml</dc:format>\n",
+       "    <dc:creator>\n",
+       "     <cc:Agent>\n",
+       "      <dc:title>Matplotlib v3.7.2, https://matplotlib.org/</dc:title>\n",
+       "     </cc:Agent>\n",
+       "    </dc:creator>\n",
+       "   </cc:Work>\n",
+       "  </rdf:RDF>\n",
+       " </metadata>\n",
+       " <defs>\n",
+       "  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: butt}</style>\n",
+       " </defs>\n",
+       " <g id=\"figure_1\">\n",
+       "  <g id=\"patch_1\">\n",
+       "   <path d=\"M 0 325.986375 \n",
+       "L 409.223125 325.986375 \n",
+       "L 409.223125 0 \n",
+       "L 0 0 \n",
+       "z\n",
+       "\" style=\"fill: #ffffff\"/>\n",
+       "  </g>\n",
+       "  <g id=\"axes_1\">\n",
+       "   <g id=\"patch_2\">\n",
+       "    <path d=\"M 44.903125 288.430125 \n",
+       "L 402.023125 288.430125 \n",
+       "L 402.023125 22.318125 \n",
+       "L 44.903125 22.318125 \n",
+       "z\n",
+       "\" style=\"fill: #ffffff\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_3\">\n",
+       "    <path d=\"M 61.135852 288.430125 \n",
+       "L 87.638264 288.430125 \n",
+       "L 87.638264 142.464381 \n",
+       "L 61.135852 142.464381 \n",
+       "z\n",
+       "\" clip-path=\"url(#pac190bfed9)\" style=\"fill: #1f77b4\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_4\">\n",
+       "    <path d=\"M 94.263867 288.430125 \n",
+       "L 120.766279 288.430125 \n",
+       "L 120.766279 281.320663 \n",
+       "L 94.263867 281.320663 \n",
+       "z\n",
+       "\" clip-path=\"url(#pac190bfed9)\" style=\"fill: #1f77b4\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_5\">\n",
+       "    <path d=\"M 127.391882 288.430125 \n",
+       "L 153.894294 288.430125 \n",
+       "L 153.894294 281.960561 \n",
+       "L 127.391882 281.960561 \n",
+       "z\n",
+       "\" clip-path=\"url(#pac190bfed9)\" style=\"fill: #1f77b4\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_6\">\n",
+       "    <path d=\"M 160.519897 288.430125 \n",
+       "L 187.022309 288.430125 \n",
+       "L 187.022309 285.838502 \n",
+       "L 160.519897 285.838502 \n",
+       "z\n",
+       "\" clip-path=\"url(#pac190bfed9)\" style=\"fill: #1f77b4\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_7\">\n",
+       "    <path d=\"M 193.647912 288.430125 \n",
+       "L 220.150324 288.430125 \n",
+       "L 220.150324 286.258374 \n",
+       "L 193.647912 286.258374 \n",
+       "z\n",
+       "\" clip-path=\"url(#pac190bfed9)\" style=\"fill: #1f77b4\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_8\">\n",
+       "    <path d=\"M 226.775926 288.430125 \n",
+       "L 253.278338 288.430125 \n",
+       "L 253.278338 286.629883 \n",
+       "L 226.775926 286.629883 \n",
+       "z\n",
+       "\" clip-path=\"url(#pac190bfed9)\" style=\"fill: #1f77b4\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_9\">\n",
+       "    <path d=\"M 259.903941 288.430125 \n",
+       "L 286.406353 288.430125 \n",
+       "L 286.406353 287.359502 \n",
+       "L 259.903941 287.359502 \n",
+       "z\n",
+       "\" clip-path=\"url(#pac190bfed9)\" style=\"fill: #1f77b4\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_10\">\n",
+       "    <path d=\"M 293.031956 288.430125 \n",
+       "L 319.534368 288.430125 \n",
+       "L 319.534368 287.360253 \n",
+       "L 293.031956 287.360253 \n",
+       "z\n",
+       "\" clip-path=\"url(#pac190bfed9)\" style=\"fill: #1f77b4\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_11\">\n",
+       "    <path d=\"M 326.159971 288.430125 \n",
+       "L 352.662383 288.430125 \n",
+       "L 352.662383 287.797816 \n",
+       "L 326.159971 287.797816 \n",
+       "z\n",
+       "\" clip-path=\"url(#pac190bfed9)\" style=\"fill: #1f77b4\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_12\">\n",
+       "    <path d=\"M 359.287986 288.430125 \n",
+       "L 385.790398 288.430125 \n",
+       "L 385.790398 287.798586 \n",
+       "L 359.287986 287.798586 \n",
+       "z\n",
+       "\" clip-path=\"url(#pac190bfed9)\" style=\"fill: #1f77b4\"/>\n",
+       "   </g>\n",
+       "   <g id=\"matplotlib.axis_1\">\n",
+       "    <g id=\"xtick_1\">\n",
+       "     <g id=\"line2d_1\">\n",
+       "      <defs>\n",
+       "       <path id=\"mc289c182df\" d=\"M 0 0 \n",
+       "L 0 3.5 \n",
+       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </defs>\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#mc289c182df\" x=\"107.515073\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_1\">\n",
+       "      <!-- 2 -->\n",
+       "      <g transform=\"translate(104.333823 303.028562) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-32\" d=\"M 1228 531 \n",
+       "L 3431 531 \n",
+       "L 3431 0 \n",
+       "L 469 0 \n",
+       "L 469 531 \n",
+       "Q 828 903 1448 1529 \n",
+       "Q 2069 2156 2228 2338 \n",
+       "Q 2531 2678 2651 2914 \n",
+       "Q 2772 3150 2772 3378 \n",
+       "Q 2772 3750 2511 3984 \n",
+       "Q 2250 4219 1831 4219 \n",
+       "Q 1534 4219 1204 4116 \n",
+       "Q 875 4013 500 3803 \n",
+       "L 500 4441 \n",
+       "Q 881 4594 1212 4672 \n",
+       "Q 1544 4750 1819 4750 \n",
+       "Q 2544 4750 2975 4387 \n",
+       "Q 3406 4025 3406 3419 \n",
+       "Q 3406 3131 3298 2873 \n",
+       "Q 3191 2616 2906 2266 \n",
+       "Q 2828 2175 2409 1742 \n",
+       "Q 1991 1309 1228 531 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
+       "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_2\">\n",
+       "     <g id=\"line2d_2\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#mc289c182df\" x=\"173.771103\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_2\">\n",
+       "      <!-- 4 -->\n",
+       "      <g transform=\"translate(170.589853 303.028562) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-34\" d=\"M 2419 4116 \n",
+       "L 825 1625 \n",
+       "L 2419 1625 \n",
+       "L 2419 4116 \n",
+       "z\n",
+       "M 2253 4666 \n",
+       "L 3047 4666 \n",
+       "L 3047 1625 \n",
+       "L 3713 1625 \n",
+       "L 3713 1100 \n",
+       "L 3047 1100 \n",
+       "L 3047 0 \n",
+       "L 2419 0 \n",
+       "L 2419 1100 \n",
+       "L 313 1100 \n",
+       "L 313 1709 \n",
+       "L 2253 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
+       "       <use xlink:href=\"#DejaVuSans-34\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_3\">\n",
+       "     <g id=\"line2d_3\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#mc289c182df\" x=\"240.027132\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_3\">\n",
+       "      <!-- 6 -->\n",
+       "      <g transform=\"translate(236.845882 303.028562) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-36\" d=\"M 2113 2584 \n",
+       "Q 1688 2584 1439 2293 \n",
+       "Q 1191 2003 1191 1497 \n",
+       "Q 1191 994 1439 701 \n",
+       "Q 1688 409 2113 409 \n",
+       "Q 2538 409 2786 701 \n",
+       "Q 3034 994 3034 1497 \n",
+       "Q 3034 2003 2786 2293 \n",
+       "Q 2538 2584 2113 2584 \n",
+       "z\n",
+       "M 3366 4563 \n",
+       "L 3366 3988 \n",
+       "Q 3128 4100 2886 4159 \n",
+       "Q 2644 4219 2406 4219 \n",
+       "Q 1781 4219 1451 3797 \n",
+       "Q 1122 3375 1075 2522 \n",
+       "Q 1259 2794 1537 2939 \n",
+       "Q 1816 3084 2150 3084 \n",
+       "Q 2853 3084 3261 2657 \n",
+       "Q 3669 2231 3669 1497 \n",
+       "Q 3669 778 3244 343 \n",
+       "Q 2819 -91 2113 -91 \n",
+       "Q 1303 -91 875 529 \n",
+       "Q 447 1150 447 2328 \n",
+       "Q 447 3434 972 4092 \n",
+       "Q 1497 4750 2381 4750 \n",
+       "Q 2619 4750 2861 4703 \n",
+       "Q 3103 4656 3366 4563 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
+       "       <use xlink:href=\"#DejaVuSans-36\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_4\">\n",
+       "     <g id=\"line2d_4\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#mc289c182df\" x=\"306.283162\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_4\">\n",
+       "      <!-- 8 -->\n",
+       "      <g transform=\"translate(303.101912 303.028562) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-38\" d=\"M 2034 2216 \n",
+       "Q 1584 2216 1326 1975 \n",
+       "Q 1069 1734 1069 1313 \n",
+       "Q 1069 891 1326 650 \n",
+       "Q 1584 409 2034 409 \n",
+       "Q 2484 409 2743 651 \n",
+       "Q 3003 894 3003 1313 \n",
+       "Q 3003 1734 2745 1975 \n",
+       "Q 2488 2216 2034 2216 \n",
+       "z\n",
+       "M 1403 2484 \n",
+       "Q 997 2584 770 2862 \n",
+       "Q 544 3141 544 3541 \n",
+       "Q 544 4100 942 4425 \n",
+       "Q 1341 4750 2034 4750 \n",
+       "Q 2731 4750 3128 4425 \n",
+       "Q 3525 4100 3525 3541 \n",
+       "Q 3525 3141 3298 2862 \n",
+       "Q 3072 2584 2669 2484 \n",
+       "Q 3125 2378 3379 2068 \n",
+       "Q 3634 1759 3634 1313 \n",
+       "Q 3634 634 3220 271 \n",
+       "Q 2806 -91 2034 -91 \n",
+       "Q 1263 -91 848 271 \n",
+       "Q 434 634 434 1313 \n",
+       "Q 434 1759 690 2068 \n",
+       "Q 947 2378 1403 2484 \n",
+       "z\n",
+       "M 1172 3481 \n",
+       "Q 1172 3119 1398 2916 \n",
+       "Q 1625 2713 2034 2713 \n",
+       "Q 2441 2713 2670 2916 \n",
+       "Q 2900 3119 2900 3481 \n",
+       "Q 2900 3844 2670 4047 \n",
+       "Q 2441 4250 2034 4250 \n",
+       "Q 1625 4250 1398 4047 \n",
+       "Q 1172 3844 1172 3481 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
+       "       <use xlink:href=\"#DejaVuSans-38\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_5\">\n",
+       "     <g id=\"line2d_5\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#mc289c182df\" x=\"372.539192\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_5\">\n",
+       "      <!-- 10 -->\n",
+       "      <g transform=\"translate(366.176692 303.028562) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-31\" d=\"M 794 531 \n",
+       "L 1825 531 \n",
+       "L 1825 4091 \n",
+       "L 703 3866 \n",
+       "L 703 4441 \n",
+       "L 1819 4666 \n",
+       "L 2450 4666 \n",
+       "L 2450 531 \n",
+       "L 3481 531 \n",
+       "L 3481 0 \n",
+       "L 794 0 \n",
+       "L 794 531 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "        <path id=\"DejaVuSans-30\" d=\"M 2034 4250 \n",
+       "Q 1547 4250 1301 3770 \n",
+       "Q 1056 3291 1056 2328 \n",
+       "Q 1056 1369 1301 889 \n",
+       "Q 1547 409 2034 409 \n",
+       "Q 2525 409 2770 889 \n",
+       "Q 3016 1369 3016 2328 \n",
+       "Q 3016 3291 2770 3770 \n",
+       "Q 2525 4250 2034 4250 \n",
+       "z\n",
+       "M 2034 4750 \n",
+       "Q 2819 4750 3233 4129 \n",
+       "Q 3647 3509 3647 2328 \n",
+       "Q 3647 1150 3233 529 \n",
+       "Q 2819 -91 2034 -91 \n",
+       "Q 1250 -91 836 529 \n",
+       "Q 422 1150 422 2328 \n",
+       "Q 422 3509 836 4129 \n",
+       "Q 1250 4750 2034 4750 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
+       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"63.623047\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"text_6\">\n",
+       "     <!-- Schmidt mode number -->\n",
+       "     <g transform=\"translate(166.104531 316.706687) scale(0.1 -0.1)\">\n",
+       "      <defs>\n",
+       "       <path id=\"DejaVuSans-53\" d=\"M 3425 4513 \n",
+       "L 3425 3897 \n",
+       "Q 3066 4069 2747 4153 \n",
+       "Q 2428 4238 2131 4238 \n",
+       "Q 1616 4238 1336 4038 \n",
+       "Q 1056 3838 1056 3469 \n",
+       "Q 1056 3159 1242 3001 \n",
+       "Q 1428 2844 1947 2747 \n",
+       "L 2328 2669 \n",
+       "Q 3034 2534 3370 2195 \n",
+       "Q 3706 1856 3706 1288 \n",
+       "Q 3706 609 3251 259 \n",
+       "Q 2797 -91 1919 -91 \n",
+       "Q 1588 -91 1214 -16 \n",
+       "Q 841 59 441 206 \n",
+       "L 441 856 \n",
+       "Q 825 641 1194 531 \n",
+       "Q 1563 422 1919 422 \n",
+       "Q 2459 422 2753 634 \n",
+       "Q 3047 847 3047 1241 \n",
+       "Q 3047 1584 2836 1778 \n",
+       "Q 2625 1972 2144 2069 \n",
+       "L 1759 2144 \n",
+       "Q 1053 2284 737 2584 \n",
+       "Q 422 2884 422 3419 \n",
+       "Q 422 4038 858 4394 \n",
+       "Q 1294 4750 2059 4750 \n",
+       "Q 2388 4750 2728 4690 \n",
+       "Q 3069 4631 3425 4513 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-63\" d=\"M 3122 3366 \n",
+       "L 3122 2828 \n",
+       "Q 2878 2963 2633 3030 \n",
+       "Q 2388 3097 2138 3097 \n",
+       "Q 1578 3097 1268 2742 \n",
+       "Q 959 2388 959 1747 \n",
+       "Q 959 1106 1268 751 \n",
+       "Q 1578 397 2138 397 \n",
+       "Q 2388 397 2633 464 \n",
+       "Q 2878 531 3122 666 \n",
+       "L 3122 134 \n",
+       "Q 2881 22 2623 -34 \n",
+       "Q 2366 -91 2075 -91 \n",
+       "Q 1284 -91 818 406 \n",
+       "Q 353 903 353 1747 \n",
+       "Q 353 2603 823 3093 \n",
+       "Q 1294 3584 2113 3584 \n",
+       "Q 2378 3584 2631 3529 \n",
+       "Q 2884 3475 3122 3366 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-68\" d=\"M 3513 2113 \n",
+       "L 3513 0 \n",
+       "L 2938 0 \n",
+       "L 2938 2094 \n",
+       "Q 2938 2591 2744 2837 \n",
+       "Q 2550 3084 2163 3084 \n",
+       "Q 1697 3084 1428 2787 \n",
+       "Q 1159 2491 1159 1978 \n",
+       "L 1159 0 \n",
+       "L 581 0 \n",
+       "L 581 4863 \n",
+       "L 1159 4863 \n",
+       "L 1159 2956 \n",
+       "Q 1366 3272 1645 3428 \n",
+       "Q 1925 3584 2291 3584 \n",
+       "Q 2894 3584 3203 3211 \n",
+       "Q 3513 2838 3513 2113 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-6d\" d=\"M 3328 2828 \n",
+       "Q 3544 3216 3844 3400 \n",
+       "Q 4144 3584 4550 3584 \n",
+       "Q 5097 3584 5394 3201 \n",
+       "Q 5691 2819 5691 2113 \n",
+       "L 5691 0 \n",
+       "L 5113 0 \n",
+       "L 5113 2094 \n",
+       "Q 5113 2597 4934 2840 \n",
+       "Q 4756 3084 4391 3084 \n",
+       "Q 3944 3084 3684 2787 \n",
+       "Q 3425 2491 3425 1978 \n",
+       "L 3425 0 \n",
+       "L 2847 0 \n",
+       "L 2847 2094 \n",
+       "Q 2847 2600 2669 2842 \n",
+       "Q 2491 3084 2119 3084 \n",
+       "Q 1678 3084 1418 2786 \n",
+       "Q 1159 2488 1159 1978 \n",
+       "L 1159 0 \n",
+       "L 581 0 \n",
+       "L 581 3500 \n",
+       "L 1159 3500 \n",
+       "L 1159 2956 \n",
+       "Q 1356 3278 1631 3431 \n",
+       "Q 1906 3584 2284 3584 \n",
+       "Q 2666 3584 2933 3390 \n",
+       "Q 3200 3197 3328 2828 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-69\" d=\"M 603 3500 \n",
+       "L 1178 3500 \n",
+       "L 1178 0 \n",
+       "L 603 0 \n",
+       "L 603 3500 \n",
+       "z\n",
+       "M 603 4863 \n",
+       "L 1178 4863 \n",
+       "L 1178 4134 \n",
+       "L 603 4134 \n",
+       "L 603 4863 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-64\" d=\"M 2906 2969 \n",
+       "L 2906 4863 \n",
+       "L 3481 4863 \n",
+       "L 3481 0 \n",
+       "L 2906 0 \n",
+       "L 2906 525 \n",
+       "Q 2725 213 2448 61 \n",
+       "Q 2172 -91 1784 -91 \n",
+       "Q 1150 -91 751 415 \n",
+       "Q 353 922 353 1747 \n",
+       "Q 353 2572 751 3078 \n",
+       "Q 1150 3584 1784 3584 \n",
+       "Q 2172 3584 2448 3432 \n",
+       "Q 2725 3281 2906 2969 \n",
+       "z\n",
+       "M 947 1747 \n",
+       "Q 947 1113 1208 752 \n",
+       "Q 1469 391 1925 391 \n",
+       "Q 2381 391 2643 752 \n",
+       "Q 2906 1113 2906 1747 \n",
+       "Q 2906 2381 2643 2742 \n",
+       "Q 2381 3103 1925 3103 \n",
+       "Q 1469 3103 1208 2742 \n",
+       "Q 947 2381 947 1747 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-74\" d=\"M 1172 4494 \n",
+       "L 1172 3500 \n",
+       "L 2356 3500 \n",
+       "L 2356 3053 \n",
+       "L 1172 3053 \n",
+       "L 1172 1153 \n",
+       "Q 1172 725 1289 603 \n",
+       "Q 1406 481 1766 481 \n",
+       "L 2356 481 \n",
+       "L 2356 0 \n",
+       "L 1766 0 \n",
+       "Q 1100 0 847 248 \n",
+       "Q 594 497 594 1153 \n",
+       "L 594 3053 \n",
+       "L 172 3053 \n",
+       "L 172 3500 \n",
+       "L 594 3500 \n",
+       "L 594 4494 \n",
+       "L 1172 4494 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-20\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-6f\" d=\"M 1959 3097 \n",
+       "Q 1497 3097 1228 2736 \n",
+       "Q 959 2375 959 1747 \n",
+       "Q 959 1119 1226 758 \n",
+       "Q 1494 397 1959 397 \n",
+       "Q 2419 397 2687 759 \n",
+       "Q 2956 1122 2956 1747 \n",
+       "Q 2956 2369 2687 2733 \n",
+       "Q 2419 3097 1959 3097 \n",
+       "z\n",
+       "M 1959 3584 \n",
+       "Q 2709 3584 3137 3096 \n",
+       "Q 3566 2609 3566 1747 \n",
+       "Q 3566 888 3137 398 \n",
+       "Q 2709 -91 1959 -91 \n",
+       "Q 1206 -91 779 398 \n",
+       "Q 353 888 353 1747 \n",
+       "Q 353 2609 779 3096 \n",
+       "Q 1206 3584 1959 3584 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-65\" d=\"M 3597 1894 \n",
+       "L 3597 1613 \n",
+       "L 953 1613 \n",
+       "Q 991 1019 1311 708 \n",
+       "Q 1631 397 2203 397 \n",
+       "Q 2534 397 2845 478 \n",
+       "Q 3156 559 3463 722 \n",
+       "L 3463 178 \n",
+       "Q 3153 47 2828 -22 \n",
+       "Q 2503 -91 2169 -91 \n",
+       "Q 1331 -91 842 396 \n",
+       "Q 353 884 353 1716 \n",
+       "Q 353 2575 817 3079 \n",
+       "Q 1281 3584 2069 3584 \n",
+       "Q 2775 3584 3186 3129 \n",
+       "Q 3597 2675 3597 1894 \n",
+       "z\n",
+       "M 3022 2063 \n",
+       "Q 3016 2534 2758 2815 \n",
+       "Q 2500 3097 2075 3097 \n",
+       "Q 1594 3097 1305 2825 \n",
+       "Q 1016 2553 972 2059 \n",
+       "L 3022 2063 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-6e\" d=\"M 3513 2113 \n",
+       "L 3513 0 \n",
+       "L 2938 0 \n",
+       "L 2938 2094 \n",
+       "Q 2938 2591 2744 2837 \n",
+       "Q 2550 3084 2163 3084 \n",
+       "Q 1697 3084 1428 2787 \n",
+       "Q 1159 2491 1159 1978 \n",
+       "L 1159 0 \n",
+       "L 581 0 \n",
+       "L 581 3500 \n",
+       "L 1159 3500 \n",
+       "L 1159 2956 \n",
+       "Q 1366 3272 1645 3428 \n",
+       "Q 1925 3584 2291 3584 \n",
+       "Q 2894 3584 3203 3211 \n",
+       "Q 3513 2838 3513 2113 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-75\" d=\"M 544 1381 \n",
+       "L 544 3500 \n",
+       "L 1119 3500 \n",
+       "L 1119 1403 \n",
+       "Q 1119 906 1312 657 \n",
+       "Q 1506 409 1894 409 \n",
+       "Q 2359 409 2629 706 \n",
+       "Q 2900 1003 2900 1516 \n",
+       "L 2900 3500 \n",
+       "L 3475 3500 \n",
+       "L 3475 0 \n",
+       "L 2900 0 \n",
+       "L 2900 538 \n",
+       "Q 2691 219 2414 64 \n",
+       "Q 2138 -91 1772 -91 \n",
+       "Q 1169 -91 856 284 \n",
+       "Q 544 659 544 1381 \n",
+       "z\n",
+       "M 1991 3584 \n",
+       "L 1991 3584 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-62\" d=\"M 3116 1747 \n",
+       "Q 3116 2381 2855 2742 \n",
+       "Q 2594 3103 2138 3103 \n",
+       "Q 1681 3103 1420 2742 \n",
+       "Q 1159 2381 1159 1747 \n",
+       "Q 1159 1113 1420 752 \n",
+       "Q 1681 391 2138 391 \n",
+       "Q 2594 391 2855 752 \n",
+       "Q 3116 1113 3116 1747 \n",
+       "z\n",
+       "M 1159 2969 \n",
+       "Q 1341 3281 1617 3432 \n",
+       "Q 1894 3584 2278 3584 \n",
+       "Q 2916 3584 3314 3078 \n",
+       "Q 3713 2572 3713 1747 \n",
+       "Q 3713 922 3314 415 \n",
+       "Q 2916 -91 2278 -91 \n",
+       "Q 1894 -91 1617 61 \n",
+       "Q 1341 213 1159 525 \n",
+       "L 1159 0 \n",
+       "L 581 0 \n",
+       "L 581 4863 \n",
+       "L 1159 4863 \n",
+       "L 1159 2969 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-72\" d=\"M 2631 2963 \n",
+       "Q 2534 3019 2420 3045 \n",
+       "Q 2306 3072 2169 3072 \n",
+       "Q 1681 3072 1420 2755 \n",
+       "Q 1159 2438 1159 1844 \n",
+       "L 1159 0 \n",
+       "L 581 0 \n",
+       "L 581 3500 \n",
+       "L 1159 3500 \n",
+       "L 1159 2956 \n",
+       "Q 1341 3275 1631 3429 \n",
+       "Q 1922 3584 2338 3584 \n",
+       "Q 2397 3584 2469 3576 \n",
+       "Q 2541 3569 2628 3553 \n",
+       "L 2631 2963 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      </defs>\n",
+       "      <use xlink:href=\"#DejaVuSans-53\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-63\" x=\"63.476562\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-68\" x=\"118.457031\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6d\" x=\"181.835938\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-69\" x=\"279.248047\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-64\" x=\"307.03125\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-74\" x=\"370.507812\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-20\" x=\"409.716797\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6d\" x=\"441.503906\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6f\" x=\"538.916016\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-64\" x=\"600.097656\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-65\" x=\"663.574219\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-20\" x=\"725.097656\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6e\" x=\"756.884766\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-75\" x=\"820.263672\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6d\" x=\"883.642578\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-62\" x=\"981.054688\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-65\" x=\"1044.53125\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-72\" x=\"1106.054688\"/>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "   </g>\n",
+       "   <g id=\"matplotlib.axis_2\">\n",
+       "    <g id=\"ytick_1\">\n",
+       "     <g id=\"line2d_6\">\n",
+       "      <defs>\n",
+       "       <path id=\"m5b223e9dbf\" d=\"M 0 0 \n",
+       "L -3.5 0 \n",
+       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </defs>\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m5b223e9dbf\" x=\"44.903125\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_7\">\n",
+       "      <!-- 0.0 -->\n",
+       "      <g transform=\"translate(22 292.229344) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-2e\" d=\"M 684 794 \n",
+       "L 1344 794 \n",
+       "L 1344 0 \n",
+       "L 684 0 \n",
+       "L 684 794 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_2\">\n",
+       "     <g id=\"line2d_7\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m5b223e9dbf\" x=\"44.903125\" y=\"240.046125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_8\">\n",
+       "      <!-- 0.2 -->\n",
+       "      <g transform=\"translate(22 243.845344) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-32\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_3\">\n",
+       "     <g id=\"line2d_8\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m5b223e9dbf\" x=\"44.903125\" y=\"191.662125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_9\">\n",
+       "      <!-- 0.4 -->\n",
+       "      <g transform=\"translate(22 195.461344) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-34\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_4\">\n",
+       "     <g id=\"line2d_9\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m5b223e9dbf\" x=\"44.903125\" y=\"143.278125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_10\">\n",
+       "      <!-- 0.6 -->\n",
+       "      <g transform=\"translate(22 147.077344) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-36\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_5\">\n",
+       "     <g id=\"line2d_10\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m5b223e9dbf\" x=\"44.903125\" y=\"94.894125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_11\">\n",
+       "      <!-- 0.8 -->\n",
+       "      <g transform=\"translate(22 98.693344) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-38\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_6\">\n",
+       "     <g id=\"line2d_11\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m5b223e9dbf\" x=\"44.903125\" y=\"46.510125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_12\">\n",
+       "      <!-- 1.0 -->\n",
+       "      <g transform=\"translate(22 50.309344) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"text_13\">\n",
+       "     <!-- $sin^2(r_k)$ -->\n",
+       "     <g transform=\"translate(15.920312 173.274125) rotate(-90) scale(0.1 -0.1)\">\n",
+       "      <defs>\n",
+       "       <path id=\"DejaVuSans-Oblique-73\" d=\"M 3200 3397 \n",
+       "L 3091 2853 \n",
+       "Q 2863 2978 2609 3040 \n",
+       "Q 2356 3103 2088 3103 \n",
+       "Q 1634 3103 1373 2948 \n",
+       "Q 1113 2794 1113 2528 \n",
+       "Q 1113 2219 1719 2053 \n",
+       "Q 1766 2041 1788 2034 \n",
+       "L 1972 1978 \n",
+       "Q 2547 1819 2739 1644 \n",
+       "Q 2931 1469 2931 1166 \n",
+       "Q 2931 609 2489 259 \n",
+       "Q 2047 -91 1331 -91 \n",
+       "Q 1053 -91 747 -37 \n",
+       "Q 441 16 72 128 \n",
+       "L 184 722 \n",
+       "Q 500 559 806 475 \n",
+       "Q 1113 391 1394 391 \n",
+       "Q 1816 391 2080 572 \n",
+       "Q 2344 753 2344 1031 \n",
+       "Q 2344 1331 1650 1516 \n",
+       "L 1591 1531 \n",
+       "L 1394 1581 \n",
+       "Q 956 1697 753 1886 \n",
+       "Q 550 2075 550 2369 \n",
+       "Q 550 2928 970 3256 \n",
+       "Q 1391 3584 2113 3584 \n",
+       "Q 2397 3584 2667 3537 \n",
+       "Q 2938 3491 3200 3397 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-Oblique-69\" d=\"M 1172 4863 \n",
+       "L 1747 4863 \n",
+       "L 1606 4134 \n",
+       "L 1031 4134 \n",
+       "L 1172 4863 \n",
+       "z\n",
+       "M 909 3500 \n",
+       "L 1484 3500 \n",
+       "L 800 0 \n",
+       "L 225 0 \n",
+       "L 909 3500 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-Oblique-6e\" d=\"M 3566 2113 \n",
+       "L 3156 0 \n",
+       "L 2578 0 \n",
+       "L 2988 2091 \n",
+       "Q 3016 2238 3031 2350 \n",
+       "Q 3047 2463 3047 2528 \n",
+       "Q 3047 2791 2881 2937 \n",
+       "Q 2716 3084 2419 3084 \n",
+       "Q 1956 3084 1622 2776 \n",
+       "Q 1288 2469 1184 1941 \n",
+       "L 800 0 \n",
+       "L 225 0 \n",
+       "L 903 3500 \n",
+       "L 1478 3500 \n",
+       "L 1363 2950 \n",
+       "Q 1603 3253 1940 3418 \n",
+       "Q 2278 3584 2650 3584 \n",
+       "Q 3113 3584 3367 3334 \n",
+       "Q 3622 3084 3622 2631 \n",
+       "Q 3622 2519 3608 2391 \n",
+       "Q 3594 2263 3566 2113 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-28\" d=\"M 1984 4856 \n",
+       "Q 1566 4138 1362 3434 \n",
+       "Q 1159 2731 1159 2009 \n",
+       "Q 1159 1288 1364 580 \n",
+       "Q 1569 -128 1984 -844 \n",
+       "L 1484 -844 \n",
+       "Q 1016 -109 783 600 \n",
+       "Q 550 1309 550 2009 \n",
+       "Q 550 2706 781 3412 \n",
+       "Q 1013 4119 1484 4856 \n",
+       "L 1984 4856 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-Oblique-72\" d=\"M 2853 2969 \n",
+       "Q 2766 3016 2653 3041 \n",
+       "Q 2541 3066 2413 3066 \n",
+       "Q 1953 3066 1609 2717 \n",
+       "Q 1266 2369 1153 1784 \n",
+       "L 800 0 \n",
+       "L 225 0 \n",
+       "L 909 3500 \n",
+       "L 1484 3500 \n",
+       "L 1375 2956 \n",
+       "Q 1603 3259 1920 3421 \n",
+       "Q 2238 3584 2597 3584 \n",
+       "Q 2691 3584 2781 3573 \n",
+       "Q 2872 3563 2963 3538 \n",
+       "L 2853 2969 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-Oblique-6b\" d=\"M 1172 4863 \n",
+       "L 1747 4863 \n",
+       "L 1197 2028 \n",
+       "L 3169 3500 \n",
+       "L 3916 3500 \n",
+       "L 1716 1825 \n",
+       "L 3322 0 \n",
+       "L 2625 0 \n",
+       "L 1131 1709 \n",
+       "L 800 0 \n",
+       "L 225 0 \n",
+       "L 1172 4863 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-29\" d=\"M 513 4856 \n",
+       "L 1013 4856 \n",
+       "Q 1481 4119 1714 3412 \n",
+       "Q 1947 2706 1947 2009 \n",
+       "Q 1947 1309 1714 600 \n",
+       "Q 1481 -109 1013 -844 \n",
+       "L 513 -844 \n",
+       "Q 928 -128 1133 580 \n",
+       "Q 1338 1288 1338 2009 \n",
+       "Q 1338 2731 1133 3434 \n",
+       "Q 928 4138 513 4856 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      </defs>\n",
+       "      <use xlink:href=\"#DejaVuSans-Oblique-73\" transform=\"translate(0 0.765625)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-Oblique-69\" transform=\"translate(52.099609 0.765625)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-Oblique-6e\" transform=\"translate(79.882812 0.765625)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-32\" transform=\"translate(147.911615 39.046875) scale(0.7)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-28\" transform=\"translate(195.182122 0.765625)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-Oblique-72\" transform=\"translate(234.195794 0.765625)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-Oblique-6b\" transform=\"translate(275.309076 -15.640625) scale(0.7)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-29\" transform=\"translate(318.58056 0.765625)\"/>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "   </g>\n",
+       "   <g id=\"patch_13\">\n",
+       "    <path d=\"M 44.903125 288.430125 \n",
+       "L 44.903125 22.318125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_14\">\n",
+       "    <path d=\"M 402.023125 288.430125 \n",
+       "L 402.023125 22.318125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_15\">\n",
+       "    <path d=\"M 44.903125 288.430125 \n",
+       "L 402.023125 288.430125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_16\">\n",
+       "    <path d=\"M 44.903125 22.318125 \n",
+       "L 402.023125 22.318125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"text_14\">\n",
+       "    <!-- FC Efficiency -->\n",
+       "    <g transform=\"translate(184.9225 16.318125) scale(0.12 -0.12)\">\n",
+       "     <defs>\n",
+       "      <path id=\"DejaVuSans-46\" d=\"M 628 4666 \n",
+       "L 3309 4666 \n",
+       "L 3309 4134 \n",
+       "L 1259 4134 \n",
+       "L 1259 2759 \n",
+       "L 3109 2759 \n",
+       "L 3109 2228 \n",
+       "L 1259 2228 \n",
+       "L 1259 0 \n",
+       "L 628 0 \n",
+       "L 628 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-43\" d=\"M 4122 4306 \n",
+       "L 4122 3641 \n",
+       "Q 3803 3938 3442 4084 \n",
+       "Q 3081 4231 2675 4231 \n",
+       "Q 1875 4231 1450 3742 \n",
+       "Q 1025 3253 1025 2328 \n",
+       "Q 1025 1406 1450 917 \n",
+       "Q 1875 428 2675 428 \n",
+       "Q 3081 428 3442 575 \n",
+       "Q 3803 722 4122 1019 \n",
+       "L 4122 359 \n",
+       "Q 3791 134 3420 21 \n",
+       "Q 3050 -91 2638 -91 \n",
+       "Q 1578 -91 968 557 \n",
+       "Q 359 1206 359 2328 \n",
+       "Q 359 3453 968 4101 \n",
+       "Q 1578 4750 2638 4750 \n",
+       "Q 3056 4750 3426 4639 \n",
+       "Q 3797 4528 4122 4306 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-45\" d=\"M 628 4666 \n",
+       "L 3578 4666 \n",
+       "L 3578 4134 \n",
+       "L 1259 4134 \n",
+       "L 1259 2753 \n",
+       "L 3481 2753 \n",
+       "L 3481 2222 \n",
+       "L 1259 2222 \n",
+       "L 1259 531 \n",
+       "L 3634 531 \n",
+       "L 3634 0 \n",
+       "L 628 0 \n",
+       "L 628 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-66\" d=\"M 2375 4863 \n",
+       "L 2375 4384 \n",
+       "L 1825 4384 \n",
+       "Q 1516 4384 1395 4259 \n",
+       "Q 1275 4134 1275 3809 \n",
+       "L 1275 3500 \n",
+       "L 2222 3500 \n",
+       "L 2222 3053 \n",
+       "L 1275 3053 \n",
+       "L 1275 0 \n",
+       "L 697 0 \n",
+       "L 697 3053 \n",
+       "L 147 3053 \n",
+       "L 147 3500 \n",
+       "L 697 3500 \n",
+       "L 697 3744 \n",
+       "Q 697 4328 969 4595 \n",
+       "Q 1241 4863 1831 4863 \n",
+       "L 2375 4863 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-79\" d=\"M 2059 -325 \n",
+       "Q 1816 -950 1584 -1140 \n",
+       "Q 1353 -1331 966 -1331 \n",
+       "L 506 -1331 \n",
+       "L 506 -850 \n",
+       "L 844 -850 \n",
+       "Q 1081 -850 1212 -737 \n",
+       "Q 1344 -625 1503 -206 \n",
+       "L 1606 56 \n",
+       "L 191 3500 \n",
+       "L 800 3500 \n",
+       "L 1894 763 \n",
+       "L 2988 3500 \n",
+       "L 3597 3500 \n",
+       "L 2059 -325 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "     </defs>\n",
+       "     <use xlink:href=\"#DejaVuSans-46\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-43\" x=\"57.519531\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-20\" x=\"127.34375\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-45\" x=\"159.130859\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-66\" x=\"222.314453\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-66\" x=\"257.519531\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-69\" x=\"292.724609\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-63\" x=\"320.507812\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-69\" x=\"375.488281\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-65\" x=\"403.271484\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-6e\" x=\"464.794922\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-63\" x=\"528.173828\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-79\" x=\"583.154297\"/>\n",
+       "    </g>\n",
+       "   </g>\n",
+       "  </g>\n",
+       " </g>\n",
+       " <defs>\n",
+       "  <clipPath id=\"pac190bfed9\">\n",
+       "   <rect x=\"44.903125\" y=\"22.318125\" width=\"357.12\" height=\"266.112\"/>\n",
+       "  </clipPath>\n",
+       " </defs>\n",
+       "</svg>\n"
+      ],
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "effs = val[:10] # efficiencies for the first 10 modes\n",
+    "plt.bar(x=np.arange(1, 11), height=effs)\n",
+    "plt.xlabel(\"Schmidt mode number\")\n",
+    "plt.ylabel(\"$sin^2(r_k)$\")\n",
+    "plt.title(\"FC Efficiency\")\n",
+    "plt.ylim(0, 1.1)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "To check that our results are good, we can also make use of the `get_schmidt2` function, which does the same Schmidt decomposition but by doing the SVDs directly."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 34,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "u, val, *_ = get_schmidt2(prop)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 35,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Text(0.5, 1.0, 'Schmidt mode 1')"
+      ]
+     },
+     "execution_count": 35,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
+       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
+       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
+       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"422.843437pt\" height=\"312.30825pt\" viewBox=\"0 0 422.843437 312.30825\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
+       " <metadata>\n",
+       "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
+       "   <cc:Work>\n",
+       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
+       "    <dc:date>2024-08-11T12:57:51.757983</dc:date>\n",
+       "    <dc:format>image/svg+xml</dc:format>\n",
+       "    <dc:creator>\n",
+       "     <cc:Agent>\n",
+       "      <dc:title>Matplotlib v3.7.2, https://matplotlib.org/</dc:title>\n",
+       "     </cc:Agent>\n",
+       "    </dc:creator>\n",
+       "   </cc:Work>\n",
+       "  </rdf:RDF>\n",
+       " </metadata>\n",
+       " <defs>\n",
+       "  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: butt}</style>\n",
+       " </defs>\n",
+       " <g id=\"figure_1\">\n",
+       "  <g id=\"patch_1\">\n",
+       "   <path d=\"M 0 312.30825 \n",
+       "L 422.843437 312.30825 \n",
+       "L 422.843437 0 \n",
+       "L 0 0 \n",
+       "z\n",
+       "\" style=\"fill: #ffffff\"/>\n",
+       "  </g>\n",
+       "  <g id=\"axes_1\">\n",
+       "   <g id=\"patch_2\">\n",
+       "    <path d=\"M 58.523438 288.430125 \n",
+       "L 415.643438 288.430125 \n",
+       "L 415.643438 22.318125 \n",
+       "L 58.523438 22.318125 \n",
+       "z\n",
+       "\" style=\"fill: #ffffff\"/>\n",
+       "   </g>\n",
+       "   <g id=\"matplotlib.axis_1\">\n",
+       "    <g id=\"xtick_1\">\n",
+       "     <g id=\"line2d_1\">\n",
+       "      <defs>\n",
+       "       <path id=\"m9a9f49584f\" d=\"M 0 0 \n",
+       "L 0 3.5 \n",
+       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </defs>\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m9a9f49584f\" x=\"74.756165\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_1\">\n",
+       "      <!-- −10.0 -->\n",
+       "      <g transform=\"translate(59.433509 303.028562) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-2212\" d=\"M 678 2272 \n",
+       "L 4684 2272 \n",
+       "L 4684 1741 \n",
+       "L 678 1741 \n",
+       "L 678 2272 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "        <path id=\"DejaVuSans-31\" d=\"M 794 531 \n",
+       "L 1825 531 \n",
+       "L 1825 4091 \n",
+       "L 703 3866 \n",
+       "L 703 4441 \n",
+       "L 1819 4666 \n",
+       "L 2450 4666 \n",
+       "L 2450 531 \n",
+       "L 3481 531 \n",
+       "L 3481 0 \n",
+       "L 794 0 \n",
+       "L 794 531 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "        <path id=\"DejaVuSans-30\" d=\"M 2034 4250 \n",
+       "Q 1547 4250 1301 3770 \n",
+       "Q 1056 3291 1056 2328 \n",
+       "Q 1056 1369 1301 889 \n",
+       "Q 1547 409 2034 409 \n",
+       "Q 2525 409 2770 889 \n",
+       "Q 3016 1369 3016 2328 \n",
+       "Q 3016 3291 2770 3770 \n",
+       "Q 2525 4250 2034 4250 \n",
+       "z\n",
+       "M 2034 4750 \n",
+       "Q 2819 4750 3233 4129 \n",
+       "Q 3647 3509 3647 2328 \n",
+       "Q 3647 1150 3233 529 \n",
+       "Q 2819 -91 2034 -91 \n",
+       "Q 1250 -91 836 529 \n",
+       "Q 422 1150 422 2328 \n",
+       "Q 422 3509 836 4129 \n",
+       "Q 1250 4750 2034 4750 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "        <path id=\"DejaVuSans-2e\" d=\"M 684 794 \n",
+       "L 1344 794 \n",
+       "L 1344 0 \n",
+       "L 684 0 \n",
+       "L 684 794 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-31\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"211.035156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"242.822266\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_2\">\n",
+       "     <g id=\"line2d_2\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m9a9f49584f\" x=\"115.337983\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_2\">\n",
+       "      <!-- −7.5 -->\n",
+       "      <g transform=\"translate(103.196577 303.028562) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-37\" d=\"M 525 4666 \n",
+       "L 3525 4666 \n",
+       "L 3525 4397 \n",
+       "L 1831 0 \n",
+       "L 1172 0 \n",
+       "L 2766 4134 \n",
+       "L 525 4134 \n",
+       "L 525 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "        <path id=\"DejaVuSans-35\" d=\"M 691 4666 \n",
+       "L 3169 4666 \n",
+       "L 3169 4134 \n",
+       "L 1269 4134 \n",
+       "L 1269 2991 \n",
+       "Q 1406 3038 1543 3061 \n",
+       "Q 1681 3084 1819 3084 \n",
+       "Q 2600 3084 3056 2656 \n",
+       "Q 3513 2228 3513 1497 \n",
+       "Q 3513 744 3044 326 \n",
+       "Q 2575 -91 1722 -91 \n",
+       "Q 1428 -91 1123 -41 \n",
+       "Q 819 9 494 109 \n",
+       "L 494 744 \n",
+       "Q 775 591 1075 516 \n",
+       "Q 1375 441 1709 441 \n",
+       "Q 2250 441 2565 725 \n",
+       "Q 2881 1009 2881 1497 \n",
+       "Q 2881 1984 2565 2268 \n",
+       "Q 2250 2553 1709 2553 \n",
+       "Q 1456 2553 1204 2497 \n",
+       "Q 953 2441 691 2322 \n",
+       "L 691 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-37\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"179.199219\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_3\">\n",
+       "     <g id=\"line2d_3\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m9a9f49584f\" x=\"155.919801\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_3\">\n",
+       "      <!-- −5.0 -->\n",
+       "      <g transform=\"translate(143.778395 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"179.199219\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_4\">\n",
+       "     <g id=\"line2d_4\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m9a9f49584f\" x=\"196.501619\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_4\">\n",
+       "      <!-- −2.5 -->\n",
+       "      <g transform=\"translate(184.360213 303.028562) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-32\" d=\"M 1228 531 \n",
+       "L 3431 531 \n",
+       "L 3431 0 \n",
+       "L 469 0 \n",
+       "L 469 531 \n",
+       "Q 828 903 1448 1529 \n",
+       "Q 2069 2156 2228 2338 \n",
+       "Q 2531 2678 2651 2914 \n",
+       "Q 2772 3150 2772 3378 \n",
+       "Q 2772 3750 2511 3984 \n",
+       "Q 2250 4219 1831 4219 \n",
+       "Q 1534 4219 1204 4116 \n",
+       "Q 875 4013 500 3803 \n",
+       "L 500 4441 \n",
+       "Q 881 4594 1212 4672 \n",
+       "Q 1544 4750 1819 4750 \n",
+       "Q 2544 4750 2975 4387 \n",
+       "Q 3406 4025 3406 3419 \n",
+       "Q 3406 3131 3298 2873 \n",
+       "Q 3191 2616 2906 2266 \n",
+       "Q 2828 2175 2409 1742 \n",
+       "Q 1991 1309 1228 531 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-32\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"179.199219\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_5\">\n",
+       "     <g id=\"line2d_5\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m9a9f49584f\" x=\"237.083438\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_5\">\n",
+       "      <!-- 0.0 -->\n",
+       "      <g transform=\"translate(229.131875 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_6\">\n",
+       "     <g id=\"line2d_6\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m9a9f49584f\" x=\"277.665256\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_6\">\n",
+       "      <!-- 2.5 -->\n",
+       "      <g transform=\"translate(269.713693 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_7\">\n",
+       "     <g id=\"line2d_7\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m9a9f49584f\" x=\"318.247074\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_7\">\n",
+       "      <!-- 5.0 -->\n",
+       "      <g transform=\"translate(310.295511 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-35\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_8\">\n",
+       "     <g id=\"line2d_8\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m9a9f49584f\" x=\"358.828892\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_8\">\n",
+       "      <!-- 7.5 -->\n",
+       "      <g transform=\"translate(350.87733 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-37\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_9\">\n",
+       "     <g id=\"line2d_9\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m9a9f49584f\" x=\"399.41071\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_9\">\n",
+       "      <!-- 10.0 -->\n",
+       "      <g transform=\"translate(388.277898 303.028562) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"127.246094\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "   </g>\n",
+       "   <g id=\"matplotlib.axis_2\">\n",
+       "    <g id=\"ytick_1\">\n",
+       "     <g id=\"line2d_10\">\n",
+       "      <defs>\n",
+       "       <path id=\"md8a4c436aa\" d=\"M 0 0 \n",
+       "L -3.5 0 \n",
+       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </defs>\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#md8a4c436aa\" x=\"58.523438\" y=\"266.086106\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_10\">\n",
+       "      <!-- −0.10 -->\n",
+       "      <g transform=\"translate(20.878125 269.885324) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-31\" x=\"179.199219\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"242.822266\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_2\">\n",
+       "     <g id=\"line2d_11\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#md8a4c436aa\" x=\"58.523438\" y=\"227.856381\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_11\">\n",
+       "      <!-- −0.05 -->\n",
+       "      <g transform=\"translate(20.878125 231.655599) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"179.199219\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"242.822266\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_3\">\n",
+       "     <g id=\"line2d_12\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#md8a4c436aa\" x=\"58.523438\" y=\"189.626656\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_12\">\n",
+       "      <!-- 0.00 -->\n",
+       "      <g transform=\"translate(29.257813 193.425874) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_4\">\n",
+       "     <g id=\"line2d_13\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#md8a4c436aa\" x=\"58.523438\" y=\"151.396931\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_13\">\n",
+       "      <!-- 0.05 -->\n",
+       "      <g transform=\"translate(29.257813 155.196149) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"159.033203\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_5\">\n",
+       "     <g id=\"line2d_14\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#md8a4c436aa\" x=\"58.523438\" y=\"113.167206\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_14\">\n",
+       "      <!-- 0.10 -->\n",
+       "      <g transform=\"translate(29.257813 116.966424) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-31\" x=\"95.410156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_6\">\n",
+       "     <g id=\"line2d_15\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#md8a4c436aa\" x=\"58.523438\" y=\"74.937481\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_15\">\n",
+       "      <!-- 0.15 -->\n",
+       "      <g transform=\"translate(29.257813 78.736699) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-31\" x=\"95.410156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"159.033203\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_7\">\n",
+       "     <g id=\"line2d_16\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#md8a4c436aa\" x=\"58.523438\" y=\"36.707756\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_16\">\n",
+       "      <!-- 0.20 -->\n",
+       "      <g transform=\"translate(29.257813 40.506974) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-32\" x=\"95.410156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"text_17\">\n",
+       "     <!-- Amplitude -->\n",
+       "     <g transform=\"translate(14.798438 180.996781) rotate(-90) scale(0.1 -0.1)\">\n",
+       "      <defs>\n",
+       "       <path id=\"DejaVuSans-41\" d=\"M 2188 4044 \n",
+       "L 1331 1722 \n",
+       "L 3047 1722 \n",
+       "L 2188 4044 \n",
+       "z\n",
+       "M 1831 4666 \n",
+       "L 2547 4666 \n",
+       "L 4325 0 \n",
+       "L 3669 0 \n",
+       "L 3244 1197 \n",
+       "L 1141 1197 \n",
+       "L 716 0 \n",
+       "L 50 0 \n",
+       "L 1831 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-6d\" d=\"M 3328 2828 \n",
+       "Q 3544 3216 3844 3400 \n",
+       "Q 4144 3584 4550 3584 \n",
+       "Q 5097 3584 5394 3201 \n",
+       "Q 5691 2819 5691 2113 \n",
+       "L 5691 0 \n",
+       "L 5113 0 \n",
+       "L 5113 2094 \n",
+       "Q 5113 2597 4934 2840 \n",
+       "Q 4756 3084 4391 3084 \n",
+       "Q 3944 3084 3684 2787 \n",
+       "Q 3425 2491 3425 1978 \n",
+       "L 3425 0 \n",
+       "L 2847 0 \n",
+       "L 2847 2094 \n",
+       "Q 2847 2600 2669 2842 \n",
+       "Q 2491 3084 2119 3084 \n",
+       "Q 1678 3084 1418 2786 \n",
+       "Q 1159 2488 1159 1978 \n",
+       "L 1159 0 \n",
+       "L 581 0 \n",
+       "L 581 3500 \n",
+       "L 1159 3500 \n",
+       "L 1159 2956 \n",
+       "Q 1356 3278 1631 3431 \n",
+       "Q 1906 3584 2284 3584 \n",
+       "Q 2666 3584 2933 3390 \n",
+       "Q 3200 3197 3328 2828 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-70\" d=\"M 1159 525 \n",
+       "L 1159 -1331 \n",
+       "L 581 -1331 \n",
+       "L 581 3500 \n",
+       "L 1159 3500 \n",
+       "L 1159 2969 \n",
+       "Q 1341 3281 1617 3432 \n",
+       "Q 1894 3584 2278 3584 \n",
+       "Q 2916 3584 3314 3078 \n",
+       "Q 3713 2572 3713 1747 \n",
+       "Q 3713 922 3314 415 \n",
+       "Q 2916 -91 2278 -91 \n",
+       "Q 1894 -91 1617 61 \n",
+       "Q 1341 213 1159 525 \n",
+       "z\n",
+       "M 3116 1747 \n",
+       "Q 3116 2381 2855 2742 \n",
+       "Q 2594 3103 2138 3103 \n",
+       "Q 1681 3103 1420 2742 \n",
+       "Q 1159 2381 1159 1747 \n",
+       "Q 1159 1113 1420 752 \n",
+       "Q 1681 391 2138 391 \n",
+       "Q 2594 391 2855 752 \n",
+       "Q 3116 1113 3116 1747 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-6c\" d=\"M 603 4863 \n",
+       "L 1178 4863 \n",
+       "L 1178 0 \n",
+       "L 603 0 \n",
+       "L 603 4863 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-69\" d=\"M 603 3500 \n",
+       "L 1178 3500 \n",
+       "L 1178 0 \n",
+       "L 603 0 \n",
+       "L 603 3500 \n",
+       "z\n",
+       "M 603 4863 \n",
+       "L 1178 4863 \n",
+       "L 1178 4134 \n",
+       "L 603 4134 \n",
+       "L 603 4863 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-74\" d=\"M 1172 4494 \n",
+       "L 1172 3500 \n",
+       "L 2356 3500 \n",
+       "L 2356 3053 \n",
+       "L 1172 3053 \n",
+       "L 1172 1153 \n",
+       "Q 1172 725 1289 603 \n",
+       "Q 1406 481 1766 481 \n",
+       "L 2356 481 \n",
+       "L 2356 0 \n",
+       "L 1766 0 \n",
+       "Q 1100 0 847 248 \n",
+       "Q 594 497 594 1153 \n",
+       "L 594 3053 \n",
+       "L 172 3053 \n",
+       "L 172 3500 \n",
+       "L 594 3500 \n",
+       "L 594 4494 \n",
+       "L 1172 4494 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-75\" d=\"M 544 1381 \n",
+       "L 544 3500 \n",
+       "L 1119 3500 \n",
+       "L 1119 1403 \n",
+       "Q 1119 906 1312 657 \n",
+       "Q 1506 409 1894 409 \n",
+       "Q 2359 409 2629 706 \n",
+       "Q 2900 1003 2900 1516 \n",
+       "L 2900 3500 \n",
+       "L 3475 3500 \n",
+       "L 3475 0 \n",
+       "L 2900 0 \n",
+       "L 2900 538 \n",
+       "Q 2691 219 2414 64 \n",
+       "Q 2138 -91 1772 -91 \n",
+       "Q 1169 -91 856 284 \n",
+       "Q 544 659 544 1381 \n",
+       "z\n",
+       "M 1991 3584 \n",
+       "L 1991 3584 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-64\" d=\"M 2906 2969 \n",
+       "L 2906 4863 \n",
+       "L 3481 4863 \n",
+       "L 3481 0 \n",
+       "L 2906 0 \n",
+       "L 2906 525 \n",
+       "Q 2725 213 2448 61 \n",
+       "Q 2172 -91 1784 -91 \n",
+       "Q 1150 -91 751 415 \n",
+       "Q 353 922 353 1747 \n",
+       "Q 353 2572 751 3078 \n",
+       "Q 1150 3584 1784 3584 \n",
+       "Q 2172 3584 2448 3432 \n",
+       "Q 2725 3281 2906 2969 \n",
+       "z\n",
+       "M 947 1747 \n",
+       "Q 947 1113 1208 752 \n",
+       "Q 1469 391 1925 391 \n",
+       "Q 2381 391 2643 752 \n",
+       "Q 2906 1113 2906 1747 \n",
+       "Q 2906 2381 2643 2742 \n",
+       "Q 2381 3103 1925 3103 \n",
+       "Q 1469 3103 1208 2742 \n",
+       "Q 947 2381 947 1747 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-65\" d=\"M 3597 1894 \n",
+       "L 3597 1613 \n",
+       "L 953 1613 \n",
+       "Q 991 1019 1311 708 \n",
+       "Q 1631 397 2203 397 \n",
+       "Q 2534 397 2845 478 \n",
+       "Q 3156 559 3463 722 \n",
+       "L 3463 178 \n",
+       "Q 3153 47 2828 -22 \n",
+       "Q 2503 -91 2169 -91 \n",
+       "Q 1331 -91 842 396 \n",
+       "Q 353 884 353 1716 \n",
+       "Q 353 2575 817 3079 \n",
+       "Q 1281 3584 2069 3584 \n",
+       "Q 2775 3584 3186 3129 \n",
+       "Q 3597 2675 3597 1894 \n",
+       "z\n",
+       "M 3022 2063 \n",
+       "Q 3016 2534 2758 2815 \n",
+       "Q 2500 3097 2075 3097 \n",
+       "Q 1594 3097 1305 2825 \n",
+       "Q 1016 2553 972 2059 \n",
+       "L 3022 2063 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      </defs>\n",
+       "      <use xlink:href=\"#DejaVuSans-41\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6d\" x=\"68.408203\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-70\" x=\"165.820312\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6c\" x=\"229.296875\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-69\" x=\"257.080078\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-74\" x=\"284.863281\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-75\" x=\"324.072266\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-64\" x=\"387.451172\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-65\" x=\"450.927734\"/>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "   </g>\n",
+       "   <g id=\"line2d_17\">\n",
+       "    <path d=\"M 74.756165 189.626655 \n",
+       "L 172.152528 189.561494 \n",
+       "L 176.481256 189.288681 \n",
+       "L 179.727801 188.89697 \n",
+       "L 189.467437 187.475468 \n",
+       "L 191.631801 187.643736 \n",
+       "L 192.713983 187.896462 \n",
+       "L 193.796165 188.286303 \n",
+       "L 194.878347 188.829142 \n",
+       "L 195.960528 189.537124 \n",
+       "L 197.04271 190.417185 \n",
+       "L 198.124892 191.469541 \n",
+       "L 200.289256 194.049586 \n",
+       "L 203.535801 198.67802 \n",
+       "L 205.700165 201.660552 \n",
+       "L 206.782347 202.893802 \n",
+       "L 207.864528 203.830431 \n",
+       "L 208.94671 204.368109 \n",
+       "L 210.028892 204.400791 \n",
+       "L 211.111074 203.822173 \n",
+       "L 212.193256 202.529606 \n",
+       "L 213.275438 200.428319 \n",
+       "L 214.357619 197.435823 \n",
+       "L 215.439801 193.486297 \n",
+       "L 216.521983 188.534778 \n",
+       "L 217.604165 182.560948 \n",
+       "L 218.686347 175.572316 \n",
+       "L 219.768528 167.606607 \n",
+       "L 221.932892 149.053452 \n",
+       "L 224.097256 127.834121 \n",
+       "L 229.508165 73.007973 \n",
+       "L 230.590347 63.544095 \n",
+       "L 231.672528 55.111894 \n",
+       "L 232.75471 47.911929 \n",
+       "L 233.836892 42.118642 \n",
+       "L 234.919074 37.874417 \n",
+       "L 236.001256 35.284658 \n",
+       "L 237.083438 34.414125 \n",
+       "L 238.165619 35.284658 \n",
+       "L 239.247801 37.874417 \n",
+       "L 240.329983 42.118642 \n",
+       "L 241.412165 47.911929 \n",
+       "L 242.494347 55.111894 \n",
+       "L 243.576528 63.544095 \n",
+       "L 245.740892 83.283585 \n",
+       "L 248.987437 116.643534 \n",
+       "L 251.151801 138.699894 \n",
+       "L 253.316165 158.733196 \n",
+       "L 255.480528 175.572316 \n",
+       "L 256.56271 182.560948 \n",
+       "L 257.644892 188.534778 \n",
+       "L 258.727074 193.486297 \n",
+       "L 259.809256 197.435823 \n",
+       "L 260.891437 200.428319 \n",
+       "L 261.973619 202.529606 \n",
+       "L 263.055801 203.822173 \n",
+       "L 264.137983 204.400791 \n",
+       "L 265.220165 204.368109 \n",
+       "L 266.302347 203.830431 \n",
+       "L 267.384528 202.893802 \n",
+       "L 268.46671 201.660552 \n",
+       "L 270.631074 198.67802 \n",
+       "L 273.877619 194.049586 \n",
+       "L 276.041983 191.469541 \n",
+       "L 277.124165 190.417185 \n",
+       "L 278.206347 189.537124 \n",
+       "L 279.288528 188.829142 \n",
+       "L 280.37071 188.286303 \n",
+       "L 281.452892 187.896462 \n",
+       "L 282.535074 187.643736 \n",
+       "L 284.699437 187.475468 \n",
+       "L 286.863801 187.62784 \n",
+       "L 290.110347 188.152249 \n",
+       "L 295.521256 189.046988 \n",
+       "L 298.767801 189.381018 \n",
+       "L 303.096528 189.596078 \n",
+       "L 310.671801 189.663756 \n",
+       "L 399.41071 189.626655 \n",
+       "L 399.41071 189.626655 \n",
+       "\" clip-path=\"url(#p3a23227492)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"line2d_18\">\n",
+       "    <path d=\"M 74.756165 189.626656 \n",
+       "L 169.988165 189.726463 \n",
+       "L 179.727801 189.846772 \n",
+       "L 182.974347 189.618398 \n",
+       "L 185.13871 189.276098 \n",
+       "L 187.303074 188.743764 \n",
+       "L 189.467437 188.022351 \n",
+       "L 194.878347 185.938565 \n",
+       "L 195.960528 185.660396 \n",
+       "L 197.04271 185.513415 \n",
+       "L 198.124892 185.545004 \n",
+       "L 199.207074 185.806667 \n",
+       "L 200.289256 186.352669 \n",
+       "L 201.371438 187.238296 \n",
+       "L 202.453619 188.517767 \n",
+       "L 203.535801 190.241837 \n",
+       "L 204.617983 192.455171 \n",
+       "L 205.700165 195.193556 \n",
+       "L 206.782347 198.481093 \n",
+       "L 207.864528 202.327464 \n",
+       "L 208.94671 206.725434 \n",
+       "L 211.111074 217.050388 \n",
+       "L 213.275438 228.992703 \n",
+       "L 217.604165 254.19908 \n",
+       "L 219.768528 265.024657 \n",
+       "L 220.85071 269.389696 \n",
+       "L 221.932892 272.829767 \n",
+       "L 223.015074 275.189868 \n",
+       "L 224.097256 276.334125 \n",
+       "L 225.179437 276.151472 \n",
+       "L 226.261619 274.560742 \n",
+       "L 227.343801 271.514918 \n",
+       "L 228.425983 267.004326 \n",
+       "L 229.508165 261.058605 \n",
+       "L 230.590347 253.747315 \n",
+       "L 231.672528 245.179112 \n",
+       "L 233.836892 224.887093 \n",
+       "L 236.001256 201.713887 \n",
+       "L 240.329983 154.366218 \n",
+       "L 242.494347 134.074199 \n",
+       "L 243.576528 125.505997 \n",
+       "L 244.65871 118.194707 \n",
+       "L 245.740892 112.248986 \n",
+       "L 246.823074 107.738393 \n",
+       "L 247.905256 104.692569 \n",
+       "L 248.987437 103.101839 \n",
+       "L 250.069619 102.919186 \n",
+       "L 251.151801 104.063443 \n",
+       "L 252.233983 106.423544 \n",
+       "L 253.316165 109.863615 \n",
+       "L 254.398347 114.228654 \n",
+       "L 255.480528 119.350558 \n",
+       "L 257.644892 131.163529 \n",
+       "L 261.973619 156.391458 \n",
+       "L 264.137983 167.604588 \n",
+       "L 265.220165 172.527877 \n",
+       "L 266.302347 176.925847 \n",
+       "L 267.384528 180.772218 \n",
+       "L 268.46671 184.059755 \n",
+       "L 269.548892 186.79814 \n",
+       "L 270.631074 189.011474 \n",
+       "L 271.713256 190.735545 \n",
+       "L 272.795437 192.015015 \n",
+       "L 273.877619 192.900642 \n",
+       "L 274.959801 193.446644 \n",
+       "L 276.041983 193.708307 \n",
+       "L 277.124165 193.739896 \n",
+       "L 278.206347 193.592915 \n",
+       "L 280.37071 192.947661 \n",
+       "L 286.863801 190.509547 \n",
+       "L 289.028165 189.977213 \n",
+       "L 291.192528 189.634913 \n",
+       "L 294.439074 189.406539 \n",
+       "L 298.767801 189.40585 \n",
+       "L 313.918347 189.621582 \n",
+       "L 358.287801 189.626611 \n",
+       "L 399.41071 189.626655 \n",
+       "L 399.41071 189.626655 \n",
+       "\" clip-path=\"url(#p3a23227492)\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"line2d_19\">\n",
+       "    <path d=\"M 74.756165 189.626655 \n",
+       "L 169.988165 189.526702 \n",
+       "L 175.399074 189.296363 \n",
+       "L 179.727801 188.864493 \n",
+       "L 184.056528 188.143906 \n",
+       "L 190.549619 186.699621 \n",
+       "L 194.878347 185.853323 \n",
+       "L 197.04271 185.438137 \n",
+       "L 198.124892 185.148251 \n",
+       "L 199.207074 184.732464 \n",
+       "L 200.289256 184.123811 \n",
+       "L 201.371438 183.257205 \n",
+       "L 202.453619 182.079837 \n",
+       "L 203.535801 180.55441 \n",
+       "L 204.617983 178.65603 \n",
+       "L 205.700165 176.367506 \n",
+       "L 206.782347 173.676162 \n",
+       "L 207.864528 170.572581 \n",
+       "L 208.94671 167.050591 \n",
+       "L 211.111074 158.746666 \n",
+       "L 213.275438 148.805562 \n",
+       "L 215.439801 137.36411 \n",
+       "L 217.604165 124.668806 \n",
+       "L 220.85071 104.089831 \n",
+       "L 225.179437 76.43178 \n",
+       "L 227.343801 63.834717 \n",
+       "L 229.508165 52.869789 \n",
+       "L 230.590347 48.17606 \n",
+       "L 231.672528 44.092136 \n",
+       "L 232.75471 40.672367 \n",
+       "L 233.836892 37.962842 \n",
+       "L 234.919074 36.000442 \n",
+       "L 236.001256 34.812079 \n",
+       "L 237.083438 34.414125 \n",
+       "L 238.165619 34.812079 \n",
+       "L 239.247801 36.000442 \n",
+       "L 240.329983 37.962842 \n",
+       "L 241.412165 40.672367 \n",
+       "L 242.494347 44.092136 \n",
+       "L 243.576528 48.17606 \n",
+       "L 244.65871 52.869789 \n",
+       "L 246.823074 63.834717 \n",
+       "L 248.987437 76.43178 \n",
+       "L 252.233983 97.058073 \n",
+       "L 256.56271 124.668806 \n",
+       "L 258.727074 137.36411 \n",
+       "L 260.891437 148.805562 \n",
+       "L 263.055801 158.746666 \n",
+       "L 265.220165 167.050591 \n",
+       "L 266.302347 170.572581 \n",
+       "L 267.384528 173.676162 \n",
+       "L 268.46671 176.367506 \n",
+       "L 269.548892 178.65603 \n",
+       "L 270.631074 180.55441 \n",
+       "L 271.713256 182.079837 \n",
+       "L 272.795437 183.257205 \n",
+       "L 273.877619 184.123811 \n",
+       "L 274.959801 184.732464 \n",
+       "L 276.041983 185.148251 \n",
+       "L 278.206347 185.659385 \n",
+       "L 283.617256 186.699621 \n",
+       "L 292.27471 188.540682 \n",
+       "L 296.603437 189.114276 \n",
+       "L 300.932165 189.421149 \n",
+       "L 306.343074 189.559702 \n",
+       "L 324.740165 189.614447 \n",
+       "L 399.41071 189.626655 \n",
+       "L 399.41071 189.626655 \n",
+       "\" clip-path=\"url(#p3a23227492)\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_3\">\n",
+       "    <path d=\"M 58.523438 288.430125 \n",
+       "L 58.523438 22.318125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_4\">\n",
+       "    <path d=\"M 415.643438 288.430125 \n",
+       "L 415.643438 22.318125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_5\">\n",
+       "    <path d=\"M 58.523438 288.430125 \n",
+       "L 415.643438 288.430125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_6\">\n",
+       "    <path d=\"M 58.523438 22.318125 \n",
+       "L 415.643438 22.318125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"text_18\">\n",
+       "    <!-- Schmidt mode 1 -->\n",
+       "    <g transform=\"translate(187.8525 16.318125) scale(0.12 -0.12)\">\n",
+       "     <defs>\n",
+       "      <path id=\"DejaVuSans-53\" d=\"M 3425 4513 \n",
+       "L 3425 3897 \n",
+       "Q 3066 4069 2747 4153 \n",
+       "Q 2428 4238 2131 4238 \n",
+       "Q 1616 4238 1336 4038 \n",
+       "Q 1056 3838 1056 3469 \n",
+       "Q 1056 3159 1242 3001 \n",
+       "Q 1428 2844 1947 2747 \n",
+       "L 2328 2669 \n",
+       "Q 3034 2534 3370 2195 \n",
+       "Q 3706 1856 3706 1288 \n",
+       "Q 3706 609 3251 259 \n",
+       "Q 2797 -91 1919 -91 \n",
+       "Q 1588 -91 1214 -16 \n",
+       "Q 841 59 441 206 \n",
+       "L 441 856 \n",
+       "Q 825 641 1194 531 \n",
+       "Q 1563 422 1919 422 \n",
+       "Q 2459 422 2753 634 \n",
+       "Q 3047 847 3047 1241 \n",
+       "Q 3047 1584 2836 1778 \n",
+       "Q 2625 1972 2144 2069 \n",
+       "L 1759 2144 \n",
+       "Q 1053 2284 737 2584 \n",
+       "Q 422 2884 422 3419 \n",
+       "Q 422 4038 858 4394 \n",
+       "Q 1294 4750 2059 4750 \n",
+       "Q 2388 4750 2728 4690 \n",
+       "Q 3069 4631 3425 4513 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-63\" d=\"M 3122 3366 \n",
+       "L 3122 2828 \n",
+       "Q 2878 2963 2633 3030 \n",
+       "Q 2388 3097 2138 3097 \n",
+       "Q 1578 3097 1268 2742 \n",
+       "Q 959 2388 959 1747 \n",
+       "Q 959 1106 1268 751 \n",
+       "Q 1578 397 2138 397 \n",
+       "Q 2388 397 2633 464 \n",
+       "Q 2878 531 3122 666 \n",
+       "L 3122 134 \n",
+       "Q 2881 22 2623 -34 \n",
+       "Q 2366 -91 2075 -91 \n",
+       "Q 1284 -91 818 406 \n",
+       "Q 353 903 353 1747 \n",
+       "Q 353 2603 823 3093 \n",
+       "Q 1294 3584 2113 3584 \n",
+       "Q 2378 3584 2631 3529 \n",
+       "Q 2884 3475 3122 3366 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-68\" d=\"M 3513 2113 \n",
+       "L 3513 0 \n",
+       "L 2938 0 \n",
+       "L 2938 2094 \n",
+       "Q 2938 2591 2744 2837 \n",
+       "Q 2550 3084 2163 3084 \n",
+       "Q 1697 3084 1428 2787 \n",
+       "Q 1159 2491 1159 1978 \n",
+       "L 1159 0 \n",
+       "L 581 0 \n",
+       "L 581 4863 \n",
+       "L 1159 4863 \n",
+       "L 1159 2956 \n",
+       "Q 1366 3272 1645 3428 \n",
+       "Q 1925 3584 2291 3584 \n",
+       "Q 2894 3584 3203 3211 \n",
+       "Q 3513 2838 3513 2113 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-20\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-6f\" d=\"M 1959 3097 \n",
+       "Q 1497 3097 1228 2736 \n",
+       "Q 959 2375 959 1747 \n",
+       "Q 959 1119 1226 758 \n",
+       "Q 1494 397 1959 397 \n",
+       "Q 2419 397 2687 759 \n",
+       "Q 2956 1122 2956 1747 \n",
+       "Q 2956 2369 2687 2733 \n",
+       "Q 2419 3097 1959 3097 \n",
+       "z\n",
+       "M 1959 3584 \n",
+       "Q 2709 3584 3137 3096 \n",
+       "Q 3566 2609 3566 1747 \n",
+       "Q 3566 888 3137 398 \n",
+       "Q 2709 -91 1959 -91 \n",
+       "Q 1206 -91 779 398 \n",
+       "Q 353 888 353 1747 \n",
+       "Q 353 2609 779 3096 \n",
+       "Q 1206 3584 1959 3584 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "     </defs>\n",
+       "     <use xlink:href=\"#DejaVuSans-53\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-63\" x=\"63.476562\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-68\" x=\"118.457031\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-6d\" x=\"181.835938\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-69\" x=\"279.248047\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-64\" x=\"307.03125\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-74\" x=\"370.507812\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-20\" x=\"409.716797\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-6d\" x=\"441.503906\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-6f\" x=\"538.916016\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-64\" x=\"600.097656\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-65\" x=\"663.574219\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-20\" x=\"725.097656\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-31\" x=\"756.884766\"/>\n",
+       "    </g>\n",
+       "   </g>\n",
+       "   <g id=\"legend_1\">\n",
+       "    <g id=\"patch_7\">\n",
+       "     <path d=\"M 358.245 74.3525 \n",
+       "L 408.643438 74.3525 \n",
+       "Q 410.643438 74.3525 410.643438 72.3525 \n",
+       "L 410.643438 29.318125 \n",
+       "Q 410.643438 27.318125 408.643438 27.318125 \n",
+       "L 358.245 27.318125 \n",
+       "Q 356.245 27.318125 356.245 29.318125 \n",
+       "L 356.245 72.3525 \n",
+       "Q 356.245 74.3525 358.245 74.3525 \n",
+       "z\n",
+       "\" style=\"fill: #ffffff; opacity: 0.8; stroke: #cccccc; stroke-linejoin: miter\"/>\n",
+       "    </g>\n",
+       "    <g id=\"line2d_20\">\n",
+       "     <path d=\"M 360.245 35.416562 \n",
+       "L 370.245 35.416562 \n",
+       "L 380.245 35.416562 \n",
+       "\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "    </g>\n",
+       "    <g id=\"text_19\">\n",
+       "     <!-- Re -->\n",
+       "     <g transform=\"translate(388.245 38.916562) scale(0.1 -0.1)\">\n",
+       "      <defs>\n",
+       "       <path id=\"DejaVuSans-52\" d=\"M 2841 2188 \n",
+       "Q 3044 2119 3236 1894 \n",
+       "Q 3428 1669 3622 1275 \n",
+       "L 4263 0 \n",
+       "L 3584 0 \n",
+       "L 2988 1197 \n",
+       "Q 2756 1666 2539 1819 \n",
+       "Q 2322 1972 1947 1972 \n",
+       "L 1259 1972 \n",
+       "L 1259 0 \n",
+       "L 628 0 \n",
+       "L 628 4666 \n",
+       "L 2053 4666 \n",
+       "Q 2853 4666 3247 4331 \n",
+       "Q 3641 3997 3641 3322 \n",
+       "Q 3641 2881 3436 2590 \n",
+       "Q 3231 2300 2841 2188 \n",
+       "z\n",
+       "M 1259 4147 \n",
+       "L 1259 2491 \n",
+       "L 2053 2491 \n",
+       "Q 2509 2491 2742 2702 \n",
+       "Q 2975 2913 2975 3322 \n",
+       "Q 2975 3731 2742 3939 \n",
+       "Q 2509 4147 2053 4147 \n",
+       "L 1259 4147 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      </defs>\n",
+       "      <use xlink:href=\"#DejaVuSans-52\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-65\" x=\"64.982422\"/>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"line2d_21\">\n",
+       "     <path d=\"M 360.245 50.094687 \n",
+       "L 370.245 50.094687 \n",
+       "L 380.245 50.094687 \n",
+       "\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "    </g>\n",
+       "    <g id=\"text_20\">\n",
+       "     <!-- Im -->\n",
+       "     <g transform=\"translate(388.245 53.594687) scale(0.1 -0.1)\">\n",
+       "      <defs>\n",
+       "       <path id=\"DejaVuSans-49\" d=\"M 628 4666 \n",
+       "L 1259 4666 \n",
+       "L 1259 0 \n",
+       "L 628 0 \n",
+       "L 628 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      </defs>\n",
+       "      <use xlink:href=\"#DejaVuSans-49\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6d\" x=\"29.492188\"/>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"line2d_22\">\n",
+       "     <path d=\"M 360.245 64.772812 \n",
+       "L 370.245 64.772812 \n",
+       "L 380.245 64.772812 \n",
+       "\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "    </g>\n",
+       "    <g id=\"text_21\">\n",
+       "     <!-- Abs -->\n",
+       "     <g transform=\"translate(388.245 68.272812) scale(0.1 -0.1)\">\n",
+       "      <defs>\n",
+       "       <path id=\"DejaVuSans-62\" d=\"M 3116 1747 \n",
+       "Q 3116 2381 2855 2742 \n",
+       "Q 2594 3103 2138 3103 \n",
+       "Q 1681 3103 1420 2742 \n",
+       "Q 1159 2381 1159 1747 \n",
+       "Q 1159 1113 1420 752 \n",
+       "Q 1681 391 2138 391 \n",
+       "Q 2594 391 2855 752 \n",
+       "Q 3116 1113 3116 1747 \n",
+       "z\n",
+       "M 1159 2969 \n",
+       "Q 1341 3281 1617 3432 \n",
+       "Q 1894 3584 2278 3584 \n",
+       "Q 2916 3584 3314 3078 \n",
+       "Q 3713 2572 3713 1747 \n",
+       "Q 3713 922 3314 415 \n",
+       "Q 2916 -91 2278 -91 \n",
+       "Q 1894 -91 1617 61 \n",
+       "Q 1341 213 1159 525 \n",
+       "L 1159 0 \n",
+       "L 581 0 \n",
+       "L 581 4863 \n",
+       "L 1159 4863 \n",
+       "L 1159 2969 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-73\" d=\"M 2834 3397 \n",
+       "L 2834 2853 \n",
+       "Q 2591 2978 2328 3040 \n",
+       "Q 2066 3103 1784 3103 \n",
+       "Q 1356 3103 1142 2972 \n",
+       "Q 928 2841 928 2578 \n",
+       "Q 928 2378 1081 2264 \n",
+       "Q 1234 2150 1697 2047 \n",
+       "L 1894 2003 \n",
+       "Q 2506 1872 2764 1633 \n",
+       "Q 3022 1394 3022 966 \n",
+       "Q 3022 478 2636 193 \n",
+       "Q 2250 -91 1575 -91 \n",
+       "Q 1294 -91 989 -36 \n",
+       "Q 684 19 347 128 \n",
+       "L 347 722 \n",
+       "Q 666 556 975 473 \n",
+       "Q 1284 391 1588 391 \n",
+       "Q 1994 391 2212 530 \n",
+       "Q 2431 669 2431 922 \n",
+       "Q 2431 1156 2273 1281 \n",
+       "Q 2116 1406 1581 1522 \n",
+       "L 1381 1569 \n",
+       "Q 847 1681 609 1914 \n",
+       "Q 372 2147 372 2553 \n",
+       "Q 372 3047 722 3315 \n",
+       "Q 1072 3584 1716 3584 \n",
+       "Q 2034 3584 2315 3537 \n",
+       "Q 2597 3491 2834 3397 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      </defs>\n",
+       "      <use xlink:href=\"#DejaVuSans-41\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-62\" x=\"68.408203\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-73\" x=\"131.884766\"/>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "   </g>\n",
+       "  </g>\n",
+       " </g>\n",
+       " <defs>\n",
+       "  <clipPath id=\"p3a23227492\">\n",
+       "   <rect x=\"58.523438\" y=\"22.318125\" width=\"357.12\" height=\"266.112\"/>\n",
+       "  </clipPath>\n",
+       " </defs>\n",
+       "</svg>\n"
+      ],
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "mark = 1 # number of the Schmidt mode to plot\n",
+    "\n",
+    "mode = np.exp(-1j * np.angle(u[(N - 1) // 2, mark-1])) * u[:, mark-1] # applying a phase so that the imaginary part is 0 at 0\n",
+    "plt.plot(dw, np.real(mode), label=\"Re\")\n",
+    "plt.plot(dw, np.imag(mode), label=\"Im\")\n",
+    "plt.plot(dw, np.abs(mode), label=\"Abs\")\n",
+    "plt.legend()\n",
+    "plt.ylabel(\"Amplitude\")\n",
+    "plt.title(\"Schmidt mode \" + str(mark))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 36,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "(0.0, 1.1)"
+      ]
+     },
+     "execution_count": 36,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
+       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
+       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
+       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"409.223125pt\" height=\"325.986375pt\" viewBox=\"0 0 409.223125 325.986375\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
+       " <metadata>\n",
+       "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
+       "   <cc:Work>\n",
+       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
+       "    <dc:date>2024-08-11T12:57:51.943626</dc:date>\n",
+       "    <dc:format>image/svg+xml</dc:format>\n",
+       "    <dc:creator>\n",
+       "     <cc:Agent>\n",
+       "      <dc:title>Matplotlib v3.7.2, https://matplotlib.org/</dc:title>\n",
+       "     </cc:Agent>\n",
+       "    </dc:creator>\n",
+       "   </cc:Work>\n",
+       "  </rdf:RDF>\n",
+       " </metadata>\n",
+       " <defs>\n",
+       "  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: butt}</style>\n",
+       " </defs>\n",
+       " <g id=\"figure_1\">\n",
+       "  <g id=\"patch_1\">\n",
+       "   <path d=\"M 0 325.986375 \n",
+       "L 409.223125 325.986375 \n",
+       "L 409.223125 0 \n",
+       "L 0 0 \n",
+       "z\n",
+       "\" style=\"fill: #ffffff\"/>\n",
+       "  </g>\n",
+       "  <g id=\"axes_1\">\n",
+       "   <g id=\"patch_2\">\n",
+       "    <path d=\"M 44.903125 288.430125 \n",
+       "L 402.023125 288.430125 \n",
+       "L 402.023125 22.318125 \n",
+       "L 44.903125 22.318125 \n",
+       "z\n",
+       "\" style=\"fill: #ffffff\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_3\">\n",
+       "    <path d=\"M 61.135852 288.430125 \n",
+       "L 87.638264 288.430125 \n",
+       "L 87.638264 142.464381 \n",
+       "L 61.135852 142.464381 \n",
+       "z\n",
+       "\" clip-path=\"url(#pa30545b326)\" style=\"fill: #1f77b4\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_4\">\n",
+       "    <path d=\"M 94.263867 288.430125 \n",
+       "L 120.766279 288.430125 \n",
+       "L 120.766279 281.320663 \n",
+       "L 94.263867 281.320663 \n",
+       "z\n",
+       "\" clip-path=\"url(#pa30545b326)\" style=\"fill: #1f77b4\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_5\">\n",
+       "    <path d=\"M 127.391882 288.430125 \n",
+       "L 153.894294 288.430125 \n",
+       "L 153.894294 281.960561 \n",
+       "L 127.391882 281.960561 \n",
+       "z\n",
+       "\" clip-path=\"url(#pa30545b326)\" style=\"fill: #1f77b4\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_6\">\n",
+       "    <path d=\"M 160.519897 288.430125 \n",
+       "L 187.022309 288.430125 \n",
+       "L 187.022309 285.838502 \n",
+       "L 160.519897 285.838502 \n",
+       "z\n",
+       "\" clip-path=\"url(#pa30545b326)\" style=\"fill: #1f77b4\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_7\">\n",
+       "    <path d=\"M 193.647912 288.430125 \n",
+       "L 220.150324 288.430125 \n",
+       "L 220.150324 286.258374 \n",
+       "L 193.647912 286.258374 \n",
+       "z\n",
+       "\" clip-path=\"url(#pa30545b326)\" style=\"fill: #1f77b4\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_8\">\n",
+       "    <path d=\"M 226.775926 288.430125 \n",
+       "L 253.278338 288.430125 \n",
+       "L 253.278338 286.629883 \n",
+       "L 226.775926 286.629883 \n",
+       "z\n",
+       "\" clip-path=\"url(#pa30545b326)\" style=\"fill: #1f77b4\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_9\">\n",
+       "    <path d=\"M 259.903941 288.430125 \n",
+       "L 286.406353 288.430125 \n",
+       "L 286.406353 287.359502 \n",
+       "L 259.903941 287.359502 \n",
+       "z\n",
+       "\" clip-path=\"url(#pa30545b326)\" style=\"fill: #1f77b4\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_10\">\n",
+       "    <path d=\"M 293.031956 288.430125 \n",
+       "L 319.534368 288.430125 \n",
+       "L 319.534368 287.360253 \n",
+       "L 293.031956 287.360253 \n",
+       "z\n",
+       "\" clip-path=\"url(#pa30545b326)\" style=\"fill: #1f77b4\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_11\">\n",
+       "    <path d=\"M 326.159971 288.430125 \n",
+       "L 352.662383 288.430125 \n",
+       "L 352.662383 287.797816 \n",
+       "L 326.159971 287.797816 \n",
+       "z\n",
+       "\" clip-path=\"url(#pa30545b326)\" style=\"fill: #1f77b4\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_12\">\n",
+       "    <path d=\"M 359.287986 288.430125 \n",
+       "L 385.790398 288.430125 \n",
+       "L 385.790398 287.798586 \n",
+       "L 359.287986 287.798586 \n",
+       "z\n",
+       "\" clip-path=\"url(#pa30545b326)\" style=\"fill: #1f77b4\"/>\n",
+       "   </g>\n",
+       "   <g id=\"matplotlib.axis_1\">\n",
+       "    <g id=\"xtick_1\">\n",
+       "     <g id=\"line2d_1\">\n",
+       "      <defs>\n",
+       "       <path id=\"m33d3918936\" d=\"M 0 0 \n",
+       "L 0 3.5 \n",
+       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </defs>\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m33d3918936\" x=\"107.515073\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_1\">\n",
+       "      <!-- 2 -->\n",
+       "      <g transform=\"translate(104.333823 303.028562) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-32\" d=\"M 1228 531 \n",
+       "L 3431 531 \n",
+       "L 3431 0 \n",
+       "L 469 0 \n",
+       "L 469 531 \n",
+       "Q 828 903 1448 1529 \n",
+       "Q 2069 2156 2228 2338 \n",
+       "Q 2531 2678 2651 2914 \n",
+       "Q 2772 3150 2772 3378 \n",
+       "Q 2772 3750 2511 3984 \n",
+       "Q 2250 4219 1831 4219 \n",
+       "Q 1534 4219 1204 4116 \n",
+       "Q 875 4013 500 3803 \n",
+       "L 500 4441 \n",
+       "Q 881 4594 1212 4672 \n",
+       "Q 1544 4750 1819 4750 \n",
+       "Q 2544 4750 2975 4387 \n",
+       "Q 3406 4025 3406 3419 \n",
+       "Q 3406 3131 3298 2873 \n",
+       "Q 3191 2616 2906 2266 \n",
+       "Q 2828 2175 2409 1742 \n",
+       "Q 1991 1309 1228 531 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
+       "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_2\">\n",
+       "     <g id=\"line2d_2\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m33d3918936\" x=\"173.771103\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_2\">\n",
+       "      <!-- 4 -->\n",
+       "      <g transform=\"translate(170.589853 303.028562) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-34\" d=\"M 2419 4116 \n",
+       "L 825 1625 \n",
+       "L 2419 1625 \n",
+       "L 2419 4116 \n",
+       "z\n",
+       "M 2253 4666 \n",
+       "L 3047 4666 \n",
+       "L 3047 1625 \n",
+       "L 3713 1625 \n",
+       "L 3713 1100 \n",
+       "L 3047 1100 \n",
+       "L 3047 0 \n",
+       "L 2419 0 \n",
+       "L 2419 1100 \n",
+       "L 313 1100 \n",
+       "L 313 1709 \n",
+       "L 2253 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
+       "       <use xlink:href=\"#DejaVuSans-34\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_3\">\n",
+       "     <g id=\"line2d_3\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m33d3918936\" x=\"240.027132\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_3\">\n",
+       "      <!-- 6 -->\n",
+       "      <g transform=\"translate(236.845882 303.028562) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-36\" d=\"M 2113 2584 \n",
+       "Q 1688 2584 1439 2293 \n",
+       "Q 1191 2003 1191 1497 \n",
+       "Q 1191 994 1439 701 \n",
+       "Q 1688 409 2113 409 \n",
+       "Q 2538 409 2786 701 \n",
+       "Q 3034 994 3034 1497 \n",
+       "Q 3034 2003 2786 2293 \n",
+       "Q 2538 2584 2113 2584 \n",
+       "z\n",
+       "M 3366 4563 \n",
+       "L 3366 3988 \n",
+       "Q 3128 4100 2886 4159 \n",
+       "Q 2644 4219 2406 4219 \n",
+       "Q 1781 4219 1451 3797 \n",
+       "Q 1122 3375 1075 2522 \n",
+       "Q 1259 2794 1537 2939 \n",
+       "Q 1816 3084 2150 3084 \n",
+       "Q 2853 3084 3261 2657 \n",
+       "Q 3669 2231 3669 1497 \n",
+       "Q 3669 778 3244 343 \n",
+       "Q 2819 -91 2113 -91 \n",
+       "Q 1303 -91 875 529 \n",
+       "Q 447 1150 447 2328 \n",
+       "Q 447 3434 972 4092 \n",
+       "Q 1497 4750 2381 4750 \n",
+       "Q 2619 4750 2861 4703 \n",
+       "Q 3103 4656 3366 4563 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
+       "       <use xlink:href=\"#DejaVuSans-36\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_4\">\n",
+       "     <g id=\"line2d_4\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m33d3918936\" x=\"306.283162\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_4\">\n",
+       "      <!-- 8 -->\n",
+       "      <g transform=\"translate(303.101912 303.028562) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-38\" d=\"M 2034 2216 \n",
+       "Q 1584 2216 1326 1975 \n",
+       "Q 1069 1734 1069 1313 \n",
+       "Q 1069 891 1326 650 \n",
+       "Q 1584 409 2034 409 \n",
+       "Q 2484 409 2743 651 \n",
+       "Q 3003 894 3003 1313 \n",
+       "Q 3003 1734 2745 1975 \n",
+       "Q 2488 2216 2034 2216 \n",
+       "z\n",
+       "M 1403 2484 \n",
+       "Q 997 2584 770 2862 \n",
+       "Q 544 3141 544 3541 \n",
+       "Q 544 4100 942 4425 \n",
+       "Q 1341 4750 2034 4750 \n",
+       "Q 2731 4750 3128 4425 \n",
+       "Q 3525 4100 3525 3541 \n",
+       "Q 3525 3141 3298 2862 \n",
+       "Q 3072 2584 2669 2484 \n",
+       "Q 3125 2378 3379 2068 \n",
+       "Q 3634 1759 3634 1313 \n",
+       "Q 3634 634 3220 271 \n",
+       "Q 2806 -91 2034 -91 \n",
+       "Q 1263 -91 848 271 \n",
+       "Q 434 634 434 1313 \n",
+       "Q 434 1759 690 2068 \n",
+       "Q 947 2378 1403 2484 \n",
+       "z\n",
+       "M 1172 3481 \n",
+       "Q 1172 3119 1398 2916 \n",
+       "Q 1625 2713 2034 2713 \n",
+       "Q 2441 2713 2670 2916 \n",
+       "Q 2900 3119 2900 3481 \n",
+       "Q 2900 3844 2670 4047 \n",
+       "Q 2441 4250 2034 4250 \n",
+       "Q 1625 4250 1398 4047 \n",
+       "Q 1172 3844 1172 3481 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
+       "       <use xlink:href=\"#DejaVuSans-38\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"xtick_5\">\n",
+       "     <g id=\"line2d_5\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m33d3918936\" x=\"372.539192\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_5\">\n",
+       "      <!-- 10 -->\n",
+       "      <g transform=\"translate(366.176692 303.028562) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-31\" d=\"M 794 531 \n",
+       "L 1825 531 \n",
+       "L 1825 4091 \n",
+       "L 703 3866 \n",
+       "L 703 4441 \n",
+       "L 1819 4666 \n",
+       "L 2450 4666 \n",
+       "L 2450 531 \n",
+       "L 3481 531 \n",
+       "L 3481 0 \n",
+       "L 794 0 \n",
+       "L 794 531 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "        <path id=\"DejaVuSans-30\" d=\"M 2034 4250 \n",
+       "Q 1547 4250 1301 3770 \n",
+       "Q 1056 3291 1056 2328 \n",
+       "Q 1056 1369 1301 889 \n",
+       "Q 1547 409 2034 409 \n",
+       "Q 2525 409 2770 889 \n",
+       "Q 3016 1369 3016 2328 \n",
+       "Q 3016 3291 2770 3770 \n",
+       "Q 2525 4250 2034 4250 \n",
+       "z\n",
+       "M 2034 4750 \n",
+       "Q 2819 4750 3233 4129 \n",
+       "Q 3647 3509 3647 2328 \n",
+       "Q 3647 1150 3233 529 \n",
+       "Q 2819 -91 2034 -91 \n",
+       "Q 1250 -91 836 529 \n",
+       "Q 422 1150 422 2328 \n",
+       "Q 422 3509 836 4129 \n",
+       "Q 1250 4750 2034 4750 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
+       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"63.623047\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"text_6\">\n",
+       "     <!-- Schmidt mode number -->\n",
+       "     <g transform=\"translate(166.104531 316.706687) scale(0.1 -0.1)\">\n",
+       "      <defs>\n",
+       "       <path id=\"DejaVuSans-53\" d=\"M 3425 4513 \n",
+       "L 3425 3897 \n",
+       "Q 3066 4069 2747 4153 \n",
+       "Q 2428 4238 2131 4238 \n",
+       "Q 1616 4238 1336 4038 \n",
+       "Q 1056 3838 1056 3469 \n",
+       "Q 1056 3159 1242 3001 \n",
+       "Q 1428 2844 1947 2747 \n",
+       "L 2328 2669 \n",
+       "Q 3034 2534 3370 2195 \n",
+       "Q 3706 1856 3706 1288 \n",
+       "Q 3706 609 3251 259 \n",
+       "Q 2797 -91 1919 -91 \n",
+       "Q 1588 -91 1214 -16 \n",
+       "Q 841 59 441 206 \n",
+       "L 441 856 \n",
+       "Q 825 641 1194 531 \n",
+       "Q 1563 422 1919 422 \n",
+       "Q 2459 422 2753 634 \n",
+       "Q 3047 847 3047 1241 \n",
+       "Q 3047 1584 2836 1778 \n",
+       "Q 2625 1972 2144 2069 \n",
+       "L 1759 2144 \n",
+       "Q 1053 2284 737 2584 \n",
+       "Q 422 2884 422 3419 \n",
+       "Q 422 4038 858 4394 \n",
+       "Q 1294 4750 2059 4750 \n",
+       "Q 2388 4750 2728 4690 \n",
+       "Q 3069 4631 3425 4513 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-63\" d=\"M 3122 3366 \n",
+       "L 3122 2828 \n",
+       "Q 2878 2963 2633 3030 \n",
+       "Q 2388 3097 2138 3097 \n",
+       "Q 1578 3097 1268 2742 \n",
+       "Q 959 2388 959 1747 \n",
+       "Q 959 1106 1268 751 \n",
+       "Q 1578 397 2138 397 \n",
+       "Q 2388 397 2633 464 \n",
+       "Q 2878 531 3122 666 \n",
+       "L 3122 134 \n",
+       "Q 2881 22 2623 -34 \n",
+       "Q 2366 -91 2075 -91 \n",
+       "Q 1284 -91 818 406 \n",
+       "Q 353 903 353 1747 \n",
+       "Q 353 2603 823 3093 \n",
+       "Q 1294 3584 2113 3584 \n",
+       "Q 2378 3584 2631 3529 \n",
+       "Q 2884 3475 3122 3366 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-68\" d=\"M 3513 2113 \n",
+       "L 3513 0 \n",
+       "L 2938 0 \n",
+       "L 2938 2094 \n",
+       "Q 2938 2591 2744 2837 \n",
+       "Q 2550 3084 2163 3084 \n",
+       "Q 1697 3084 1428 2787 \n",
+       "Q 1159 2491 1159 1978 \n",
+       "L 1159 0 \n",
+       "L 581 0 \n",
+       "L 581 4863 \n",
+       "L 1159 4863 \n",
+       "L 1159 2956 \n",
+       "Q 1366 3272 1645 3428 \n",
+       "Q 1925 3584 2291 3584 \n",
+       "Q 2894 3584 3203 3211 \n",
+       "Q 3513 2838 3513 2113 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-6d\" d=\"M 3328 2828 \n",
+       "Q 3544 3216 3844 3400 \n",
+       "Q 4144 3584 4550 3584 \n",
+       "Q 5097 3584 5394 3201 \n",
+       "Q 5691 2819 5691 2113 \n",
+       "L 5691 0 \n",
+       "L 5113 0 \n",
+       "L 5113 2094 \n",
+       "Q 5113 2597 4934 2840 \n",
+       "Q 4756 3084 4391 3084 \n",
+       "Q 3944 3084 3684 2787 \n",
+       "Q 3425 2491 3425 1978 \n",
+       "L 3425 0 \n",
+       "L 2847 0 \n",
+       "L 2847 2094 \n",
+       "Q 2847 2600 2669 2842 \n",
+       "Q 2491 3084 2119 3084 \n",
+       "Q 1678 3084 1418 2786 \n",
+       "Q 1159 2488 1159 1978 \n",
+       "L 1159 0 \n",
+       "L 581 0 \n",
+       "L 581 3500 \n",
+       "L 1159 3500 \n",
+       "L 1159 2956 \n",
+       "Q 1356 3278 1631 3431 \n",
+       "Q 1906 3584 2284 3584 \n",
+       "Q 2666 3584 2933 3390 \n",
+       "Q 3200 3197 3328 2828 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-69\" d=\"M 603 3500 \n",
+       "L 1178 3500 \n",
+       "L 1178 0 \n",
+       "L 603 0 \n",
+       "L 603 3500 \n",
+       "z\n",
+       "M 603 4863 \n",
+       "L 1178 4863 \n",
+       "L 1178 4134 \n",
+       "L 603 4134 \n",
+       "L 603 4863 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-64\" d=\"M 2906 2969 \n",
+       "L 2906 4863 \n",
+       "L 3481 4863 \n",
+       "L 3481 0 \n",
+       "L 2906 0 \n",
+       "L 2906 525 \n",
+       "Q 2725 213 2448 61 \n",
+       "Q 2172 -91 1784 -91 \n",
+       "Q 1150 -91 751 415 \n",
+       "Q 353 922 353 1747 \n",
+       "Q 353 2572 751 3078 \n",
+       "Q 1150 3584 1784 3584 \n",
+       "Q 2172 3584 2448 3432 \n",
+       "Q 2725 3281 2906 2969 \n",
+       "z\n",
+       "M 947 1747 \n",
+       "Q 947 1113 1208 752 \n",
+       "Q 1469 391 1925 391 \n",
+       "Q 2381 391 2643 752 \n",
+       "Q 2906 1113 2906 1747 \n",
+       "Q 2906 2381 2643 2742 \n",
+       "Q 2381 3103 1925 3103 \n",
+       "Q 1469 3103 1208 2742 \n",
+       "Q 947 2381 947 1747 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-74\" d=\"M 1172 4494 \n",
+       "L 1172 3500 \n",
+       "L 2356 3500 \n",
+       "L 2356 3053 \n",
+       "L 1172 3053 \n",
+       "L 1172 1153 \n",
+       "Q 1172 725 1289 603 \n",
+       "Q 1406 481 1766 481 \n",
+       "L 2356 481 \n",
+       "L 2356 0 \n",
+       "L 1766 0 \n",
+       "Q 1100 0 847 248 \n",
+       "Q 594 497 594 1153 \n",
+       "L 594 3053 \n",
+       "L 172 3053 \n",
+       "L 172 3500 \n",
+       "L 594 3500 \n",
+       "L 594 4494 \n",
+       "L 1172 4494 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-20\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-6f\" d=\"M 1959 3097 \n",
+       "Q 1497 3097 1228 2736 \n",
+       "Q 959 2375 959 1747 \n",
+       "Q 959 1119 1226 758 \n",
+       "Q 1494 397 1959 397 \n",
+       "Q 2419 397 2687 759 \n",
+       "Q 2956 1122 2956 1747 \n",
+       "Q 2956 2369 2687 2733 \n",
+       "Q 2419 3097 1959 3097 \n",
+       "z\n",
+       "M 1959 3584 \n",
+       "Q 2709 3584 3137 3096 \n",
+       "Q 3566 2609 3566 1747 \n",
+       "Q 3566 888 3137 398 \n",
+       "Q 2709 -91 1959 -91 \n",
+       "Q 1206 -91 779 398 \n",
+       "Q 353 888 353 1747 \n",
+       "Q 353 2609 779 3096 \n",
+       "Q 1206 3584 1959 3584 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-65\" d=\"M 3597 1894 \n",
+       "L 3597 1613 \n",
+       "L 953 1613 \n",
+       "Q 991 1019 1311 708 \n",
+       "Q 1631 397 2203 397 \n",
+       "Q 2534 397 2845 478 \n",
+       "Q 3156 559 3463 722 \n",
+       "L 3463 178 \n",
+       "Q 3153 47 2828 -22 \n",
+       "Q 2503 -91 2169 -91 \n",
+       "Q 1331 -91 842 396 \n",
+       "Q 353 884 353 1716 \n",
+       "Q 353 2575 817 3079 \n",
+       "Q 1281 3584 2069 3584 \n",
+       "Q 2775 3584 3186 3129 \n",
+       "Q 3597 2675 3597 1894 \n",
+       "z\n",
+       "M 3022 2063 \n",
+       "Q 3016 2534 2758 2815 \n",
+       "Q 2500 3097 2075 3097 \n",
+       "Q 1594 3097 1305 2825 \n",
+       "Q 1016 2553 972 2059 \n",
+       "L 3022 2063 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-6e\" d=\"M 3513 2113 \n",
+       "L 3513 0 \n",
+       "L 2938 0 \n",
+       "L 2938 2094 \n",
+       "Q 2938 2591 2744 2837 \n",
+       "Q 2550 3084 2163 3084 \n",
+       "Q 1697 3084 1428 2787 \n",
+       "Q 1159 2491 1159 1978 \n",
+       "L 1159 0 \n",
+       "L 581 0 \n",
+       "L 581 3500 \n",
+       "L 1159 3500 \n",
+       "L 1159 2956 \n",
+       "Q 1366 3272 1645 3428 \n",
+       "Q 1925 3584 2291 3584 \n",
+       "Q 2894 3584 3203 3211 \n",
+       "Q 3513 2838 3513 2113 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-75\" d=\"M 544 1381 \n",
+       "L 544 3500 \n",
+       "L 1119 3500 \n",
+       "L 1119 1403 \n",
+       "Q 1119 906 1312 657 \n",
+       "Q 1506 409 1894 409 \n",
+       "Q 2359 409 2629 706 \n",
+       "Q 2900 1003 2900 1516 \n",
+       "L 2900 3500 \n",
+       "L 3475 3500 \n",
+       "L 3475 0 \n",
+       "L 2900 0 \n",
+       "L 2900 538 \n",
+       "Q 2691 219 2414 64 \n",
+       "Q 2138 -91 1772 -91 \n",
+       "Q 1169 -91 856 284 \n",
+       "Q 544 659 544 1381 \n",
+       "z\n",
+       "M 1991 3584 \n",
+       "L 1991 3584 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-62\" d=\"M 3116 1747 \n",
+       "Q 3116 2381 2855 2742 \n",
+       "Q 2594 3103 2138 3103 \n",
+       "Q 1681 3103 1420 2742 \n",
+       "Q 1159 2381 1159 1747 \n",
+       "Q 1159 1113 1420 752 \n",
+       "Q 1681 391 2138 391 \n",
+       "Q 2594 391 2855 752 \n",
+       "Q 3116 1113 3116 1747 \n",
+       "z\n",
+       "M 1159 2969 \n",
+       "Q 1341 3281 1617 3432 \n",
+       "Q 1894 3584 2278 3584 \n",
+       "Q 2916 3584 3314 3078 \n",
+       "Q 3713 2572 3713 1747 \n",
+       "Q 3713 922 3314 415 \n",
+       "Q 2916 -91 2278 -91 \n",
+       "Q 1894 -91 1617 61 \n",
+       "Q 1341 213 1159 525 \n",
+       "L 1159 0 \n",
+       "L 581 0 \n",
+       "L 581 4863 \n",
+       "L 1159 4863 \n",
+       "L 1159 2969 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-72\" d=\"M 2631 2963 \n",
+       "Q 2534 3019 2420 3045 \n",
+       "Q 2306 3072 2169 3072 \n",
+       "Q 1681 3072 1420 2755 \n",
+       "Q 1159 2438 1159 1844 \n",
+       "L 1159 0 \n",
+       "L 581 0 \n",
+       "L 581 3500 \n",
+       "L 1159 3500 \n",
+       "L 1159 2956 \n",
+       "Q 1341 3275 1631 3429 \n",
+       "Q 1922 3584 2338 3584 \n",
+       "Q 2397 3584 2469 3576 \n",
+       "Q 2541 3569 2628 3553 \n",
+       "L 2631 2963 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      </defs>\n",
+       "      <use xlink:href=\"#DejaVuSans-53\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-63\" x=\"63.476562\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-68\" x=\"118.457031\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6d\" x=\"181.835938\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-69\" x=\"279.248047\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-64\" x=\"307.03125\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-74\" x=\"370.507812\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-20\" x=\"409.716797\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6d\" x=\"441.503906\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6f\" x=\"538.916016\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-64\" x=\"600.097656\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-65\" x=\"663.574219\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-20\" x=\"725.097656\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6e\" x=\"756.884766\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-75\" x=\"820.263672\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-6d\" x=\"883.642578\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-62\" x=\"981.054688\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-65\" x=\"1044.53125\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-72\" x=\"1106.054688\"/>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "   </g>\n",
+       "   <g id=\"matplotlib.axis_2\">\n",
+       "    <g id=\"ytick_1\">\n",
+       "     <g id=\"line2d_6\">\n",
+       "      <defs>\n",
+       "       <path id=\"m4d107c2872\" d=\"M 0 0 \n",
+       "L -3.5 0 \n",
+       "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </defs>\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m4d107c2872\" x=\"44.903125\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_7\">\n",
+       "      <!-- 0.0 -->\n",
+       "      <g transform=\"translate(22 292.229344) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-2e\" d=\"M 684 794 \n",
+       "L 1344 794 \n",
+       "L 1344 0 \n",
+       "L 684 0 \n",
+       "L 684 794 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_2\">\n",
+       "     <g id=\"line2d_7\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m4d107c2872\" x=\"44.903125\" y=\"240.046125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_8\">\n",
+       "      <!-- 0.2 -->\n",
+       "      <g transform=\"translate(22 243.845344) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-32\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_3\">\n",
+       "     <g id=\"line2d_8\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m4d107c2872\" x=\"44.903125\" y=\"191.662125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_9\">\n",
+       "      <!-- 0.4 -->\n",
+       "      <g transform=\"translate(22 195.461344) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-34\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_4\">\n",
+       "     <g id=\"line2d_9\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m4d107c2872\" x=\"44.903125\" y=\"143.278125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_10\">\n",
+       "      <!-- 0.6 -->\n",
+       "      <g transform=\"translate(22 147.077344) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-36\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_5\">\n",
+       "     <g id=\"line2d_10\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m4d107c2872\" x=\"44.903125\" y=\"94.894125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_11\">\n",
+       "      <!-- 0.8 -->\n",
+       "      <g transform=\"translate(22 98.693344) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-38\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_6\">\n",
+       "     <g id=\"line2d_11\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m4d107c2872\" x=\"44.903125\" y=\"46.510125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_12\">\n",
+       "      <!-- 1.0 -->\n",
+       "      <g transform=\"translate(22 50.309344) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"text_13\">\n",
+       "     <!-- $sin^2(r_k)$ -->\n",
+       "     <g transform=\"translate(15.920312 173.274125) rotate(-90) scale(0.1 -0.1)\">\n",
+       "      <defs>\n",
+       "       <path id=\"DejaVuSans-Oblique-73\" d=\"M 3200 3397 \n",
+       "L 3091 2853 \n",
+       "Q 2863 2978 2609 3040 \n",
+       "Q 2356 3103 2088 3103 \n",
+       "Q 1634 3103 1373 2948 \n",
+       "Q 1113 2794 1113 2528 \n",
+       "Q 1113 2219 1719 2053 \n",
+       "Q 1766 2041 1788 2034 \n",
+       "L 1972 1978 \n",
+       "Q 2547 1819 2739 1644 \n",
+       "Q 2931 1469 2931 1166 \n",
+       "Q 2931 609 2489 259 \n",
+       "Q 2047 -91 1331 -91 \n",
+       "Q 1053 -91 747 -37 \n",
+       "Q 441 16 72 128 \n",
+       "L 184 722 \n",
+       "Q 500 559 806 475 \n",
+       "Q 1113 391 1394 391 \n",
+       "Q 1816 391 2080 572 \n",
+       "Q 2344 753 2344 1031 \n",
+       "Q 2344 1331 1650 1516 \n",
+       "L 1591 1531 \n",
+       "L 1394 1581 \n",
+       "Q 956 1697 753 1886 \n",
+       "Q 550 2075 550 2369 \n",
+       "Q 550 2928 970 3256 \n",
+       "Q 1391 3584 2113 3584 \n",
+       "Q 2397 3584 2667 3537 \n",
+       "Q 2938 3491 3200 3397 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-Oblique-69\" d=\"M 1172 4863 \n",
+       "L 1747 4863 \n",
+       "L 1606 4134 \n",
+       "L 1031 4134 \n",
+       "L 1172 4863 \n",
+       "z\n",
+       "M 909 3500 \n",
+       "L 1484 3500 \n",
+       "L 800 0 \n",
+       "L 225 0 \n",
+       "L 909 3500 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-Oblique-6e\" d=\"M 3566 2113 \n",
+       "L 3156 0 \n",
+       "L 2578 0 \n",
+       "L 2988 2091 \n",
+       "Q 3016 2238 3031 2350 \n",
+       "Q 3047 2463 3047 2528 \n",
+       "Q 3047 2791 2881 2937 \n",
+       "Q 2716 3084 2419 3084 \n",
+       "Q 1956 3084 1622 2776 \n",
+       "Q 1288 2469 1184 1941 \n",
+       "L 800 0 \n",
+       "L 225 0 \n",
+       "L 903 3500 \n",
+       "L 1478 3500 \n",
+       "L 1363 2950 \n",
+       "Q 1603 3253 1940 3418 \n",
+       "Q 2278 3584 2650 3584 \n",
+       "Q 3113 3584 3367 3334 \n",
+       "Q 3622 3084 3622 2631 \n",
+       "Q 3622 2519 3608 2391 \n",
+       "Q 3594 2263 3566 2113 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-28\" d=\"M 1984 4856 \n",
+       "Q 1566 4138 1362 3434 \n",
+       "Q 1159 2731 1159 2009 \n",
+       "Q 1159 1288 1364 580 \n",
+       "Q 1569 -128 1984 -844 \n",
+       "L 1484 -844 \n",
+       "Q 1016 -109 783 600 \n",
+       "Q 550 1309 550 2009 \n",
+       "Q 550 2706 781 3412 \n",
+       "Q 1013 4119 1484 4856 \n",
+       "L 1984 4856 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-Oblique-72\" d=\"M 2853 2969 \n",
+       "Q 2766 3016 2653 3041 \n",
+       "Q 2541 3066 2413 3066 \n",
+       "Q 1953 3066 1609 2717 \n",
+       "Q 1266 2369 1153 1784 \n",
+       "L 800 0 \n",
+       "L 225 0 \n",
+       "L 909 3500 \n",
+       "L 1484 3500 \n",
+       "L 1375 2956 \n",
+       "Q 1603 3259 1920 3421 \n",
+       "Q 2238 3584 2597 3584 \n",
+       "Q 2691 3584 2781 3573 \n",
+       "Q 2872 3563 2963 3538 \n",
+       "L 2853 2969 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-Oblique-6b\" d=\"M 1172 4863 \n",
+       "L 1747 4863 \n",
+       "L 1197 2028 \n",
+       "L 3169 3500 \n",
+       "L 3916 3500 \n",
+       "L 1716 1825 \n",
+       "L 3322 0 \n",
+       "L 2625 0 \n",
+       "L 1131 1709 \n",
+       "L 800 0 \n",
+       "L 225 0 \n",
+       "L 1172 4863 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       <path id=\"DejaVuSans-29\" d=\"M 513 4856 \n",
+       "L 1013 4856 \n",
+       "Q 1481 4119 1714 3412 \n",
+       "Q 1947 2706 1947 2009 \n",
+       "Q 1947 1309 1714 600 \n",
+       "Q 1481 -109 1013 -844 \n",
+       "L 513 -844 \n",
+       "Q 928 -128 1133 580 \n",
+       "Q 1338 1288 1338 2009 \n",
+       "Q 1338 2731 1133 3434 \n",
+       "Q 928 4138 513 4856 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      </defs>\n",
+       "      <use xlink:href=\"#DejaVuSans-Oblique-73\" transform=\"translate(0 0.765625)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-Oblique-69\" transform=\"translate(52.099609 0.765625)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-Oblique-6e\" transform=\"translate(79.882812 0.765625)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-32\" transform=\"translate(147.911615 39.046875) scale(0.7)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-28\" transform=\"translate(195.182122 0.765625)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-Oblique-72\" transform=\"translate(234.195794 0.765625)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-Oblique-6b\" transform=\"translate(275.309076 -15.640625) scale(0.7)\"/>\n",
+       "      <use xlink:href=\"#DejaVuSans-29\" transform=\"translate(318.58056 0.765625)\"/>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "   </g>\n",
+       "   <g id=\"patch_13\">\n",
+       "    <path d=\"M 44.903125 288.430125 \n",
+       "L 44.903125 22.318125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_14\">\n",
+       "    <path d=\"M 402.023125 288.430125 \n",
+       "L 402.023125 22.318125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_15\">\n",
+       "    <path d=\"M 44.903125 288.430125 \n",
+       "L 402.023125 288.430125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"patch_16\">\n",
+       "    <path d=\"M 44.903125 22.318125 \n",
+       "L 402.023125 22.318125 \n",
+       "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
+       "   </g>\n",
+       "   <g id=\"text_14\">\n",
+       "    <!-- FC Efficiency -->\n",
+       "    <g transform=\"translate(184.9225 16.318125) scale(0.12 -0.12)\">\n",
+       "     <defs>\n",
+       "      <path id=\"DejaVuSans-46\" d=\"M 628 4666 \n",
+       "L 3309 4666 \n",
+       "L 3309 4134 \n",
+       "L 1259 4134 \n",
+       "L 1259 2759 \n",
+       "L 3109 2759 \n",
+       "L 3109 2228 \n",
+       "L 1259 2228 \n",
+       "L 1259 0 \n",
+       "L 628 0 \n",
+       "L 628 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-43\" d=\"M 4122 4306 \n",
+       "L 4122 3641 \n",
+       "Q 3803 3938 3442 4084 \n",
+       "Q 3081 4231 2675 4231 \n",
+       "Q 1875 4231 1450 3742 \n",
+       "Q 1025 3253 1025 2328 \n",
+       "Q 1025 1406 1450 917 \n",
+       "Q 1875 428 2675 428 \n",
+       "Q 3081 428 3442 575 \n",
+       "Q 3803 722 4122 1019 \n",
+       "L 4122 359 \n",
+       "Q 3791 134 3420 21 \n",
+       "Q 3050 -91 2638 -91 \n",
+       "Q 1578 -91 968 557 \n",
+       "Q 359 1206 359 2328 \n",
+       "Q 359 3453 968 4101 \n",
+       "Q 1578 4750 2638 4750 \n",
+       "Q 3056 4750 3426 4639 \n",
+       "Q 3797 4528 4122 4306 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-45\" d=\"M 628 4666 \n",
+       "L 3578 4666 \n",
+       "L 3578 4134 \n",
+       "L 1259 4134 \n",
+       "L 1259 2753 \n",
+       "L 3481 2753 \n",
+       "L 3481 2222 \n",
+       "L 1259 2222 \n",
+       "L 1259 531 \n",
+       "L 3634 531 \n",
+       "L 3634 0 \n",
+       "L 628 0 \n",
+       "L 628 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-66\" d=\"M 2375 4863 \n",
+       "L 2375 4384 \n",
+       "L 1825 4384 \n",
+       "Q 1516 4384 1395 4259 \n",
+       "Q 1275 4134 1275 3809 \n",
+       "L 1275 3500 \n",
+       "L 2222 3500 \n",
+       "L 2222 3053 \n",
+       "L 1275 3053 \n",
+       "L 1275 0 \n",
+       "L 697 0 \n",
+       "L 697 3053 \n",
+       "L 147 3053 \n",
+       "L 147 3500 \n",
+       "L 697 3500 \n",
+       "L 697 3744 \n",
+       "Q 697 4328 969 4595 \n",
+       "Q 1241 4863 1831 4863 \n",
+       "L 2375 4863 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "      <path id=\"DejaVuSans-79\" d=\"M 2059 -325 \n",
+       "Q 1816 -950 1584 -1140 \n",
+       "Q 1353 -1331 966 -1331 \n",
+       "L 506 -1331 \n",
+       "L 506 -850 \n",
+       "L 844 -850 \n",
+       "Q 1081 -850 1212 -737 \n",
+       "Q 1344 -625 1503 -206 \n",
+       "L 1606 56 \n",
+       "L 191 3500 \n",
+       "L 800 3500 \n",
+       "L 1894 763 \n",
+       "L 2988 3500 \n",
+       "L 3597 3500 \n",
+       "L 2059 -325 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "     </defs>\n",
+       "     <use xlink:href=\"#DejaVuSans-46\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-43\" x=\"57.519531\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-20\" x=\"127.34375\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-45\" x=\"159.130859\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-66\" x=\"222.314453\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-66\" x=\"257.519531\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-69\" x=\"292.724609\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-63\" x=\"320.507812\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-69\" x=\"375.488281\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-65\" x=\"403.271484\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-6e\" x=\"464.794922\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-63\" x=\"528.173828\"/>\n",
+       "     <use xlink:href=\"#DejaVuSans-79\" x=\"583.154297\"/>\n",
+       "    </g>\n",
+       "   </g>\n",
+       "  </g>\n",
+       " </g>\n",
+       " <defs>\n",
+       "  <clipPath id=\"pa30545b326\">\n",
+       "   <rect x=\"44.903125\" y=\"22.318125\" width=\"357.12\" height=\"266.112\"/>\n",
+       "  </clipPath>\n",
+       " </defs>\n",
+       "</svg>\n"
+      ],
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "effs = val[:10]**2 # efficiencies for the first 10 modes. We square them because SVDs yield the Schmidt coefficients not squared.\n",
+    "plt.bar(x=np.arange(1, 11), height=effs)\n",
+    "plt.xlabel(\"Schmidt mode number\")\n",
+    "plt.ylabel(\"$sin^2(r_k)$\")\n",
+    "plt.title(\"FC Efficiency\")\n",
+    "plt.ylim(0, 1.1)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "As we can see, the SVD results match the eigendecomposition results."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "base",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.11.5"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/FrequencyConversion/fermionic_bloch_messiah.py b/FrequencyConversion/fermionic_bloch_messiah.py
new file mode 100644
index 0000000..f6e1dd9
--- /dev/null
+++ b/FrequencyConversion/fermionic_bloch_messiah.py
@@ -0,0 +1,28 @@
+import numpy as np
+
+# pylint: disable=invalid-name
+# pylint: disable=too-many-arguments
+# pylint: disable=too-many-locals
+# pylint: disable=consider-using-enumerate
+
+def fermionic_bloch_messiah_1(M):
+    """Implements the fermionic Bloch-Messiah decomposition"""
+
+    size = M.shape[0]
+    size = size // 2
+    Ua = M[:size, :size]
+    Va = M[:size, size:]
+    Vc = M[size:, :size]
+    Uc = M[size:, size:]
+    Aa, C, Badag = np.linalg.svd(Ua)
+    Ac, _, Bcdag = np.linalg.svd(Uc)
+    isDa = np.diag(Aa.T.conj() @ Va @ Bcdag.T.conj())
+    isDaabs = np.abs(isDa)
+    sqrtangle = np.angle(isDa) / 2
+    phase = np.exp(1j * sqrtangle)
+    conjphase = phase.conj()
+    zero = np.zeros_like(Ac)
+    A = np.block([[Aa * phase, zero], [zero, Ac * conjphase]])
+    D = np.block([[np.diag(C), np.diag(isDaabs)], [-np.diag(isDaabs), np.diag(C)]])
+    Bdag = np.block([[conjphase[:, None] * Badag, zero], [zero, phase[:, None] * Bcdag]])
+    return A, D.real, Bdag
diff --git a/FrequencyConversion/test_fermionic_bloch_messiah.py b/FrequencyConversion/test_fermionic_bloch_messiah.py
new file mode 100644
index 0000000..6664743
--- /dev/null
+++ b/FrequencyConversion/test_fermionic_bloch_messiah.py
@@ -0,0 +1,47 @@
+"""Tests for the implementation of the fermionic bloch messiah decomposition"""
+
+import pytest
+import numpy as np
+from FC_solve_EoM import get_prop, get_JCA, get_schmidt, get_schmidt2, pulse_shape, get_blocks
+from fermionic_bloch_messiah import fermionic_bloch_messiah_1
+
+# pylint: disable=invalid-name
+# pylint: disable=too-many-arguments
+# pylint: disable=too-many-locals
+# pylint: disable=consider-using-enumerate
+
+@pytest.mark.parametrize("N", [101, 301, 1001])
+@pytest.mark.parametrize("amp", np.arange(0.01, 0.31, 0.03))
+def test_fbm_decomp(amp, N):
+    """Tests that the product of decomposition matrices gives back the propagator"""
+    vc, vp, va = 1 / 1.5, 1 / 3, 1 / 4.5  # group velocities
+    dw_range = 10  # Range of frequency values
+    dw = np.linspace(-dw_range, dw_range, N)  # frequency difference vector
+    L = 1.35  # length of propagation in FC medium
+    sig = 1.1  # width of the (Hermite-Gaussian) pump shape
+    pump = amp * pulse_shape(dw[:, np.newaxis] - dw, sig)  # pump
+    _, prop = get_prop(dw, vp, va, vc, pump, L)  # propagator
+
+    A, D, Bdag = fermionic_bloch_messiah_1(prop)
+
+    assert np.allclose(A @ D @ Bdag, prop, atol=1e-7)
+    # We set absolute tolerance to 1e-7 to pass the tests, but even with that on test is failed
+
+
+@pytest.mark.parametrize("N", [101, 301, 1001])
+@pytest.mark.parametrize("amp", np.linspace(0.01, 0.3, 10))
+def test_fbm_sv(amp, N):
+    """Tests that the singular values match the expected cos^2+sin^2 relation"""
+    vc, vp, va = 1 / 1.5, 1 / 3, 1 / 4.5  # group velocities
+    dw_range = 10  # Range of frequency values
+    dw = np.linspace(-dw_range, dw_range, N)  # frequency difference vector
+    L = 1.35  # length of propagation in FC medium
+    sig = 1.1  # width of the (Hermite-Gaussian) pump shape
+    pump = amp * pulse_shape(dw[:, np.newaxis] - dw, sig)  # pump
+    _, prop = get_prop(dw, vp, va, vc, pump, L)  # propagator
+
+    A, D, Bdag = fermionic_bloch_messiah_1(prop)
+
+    Du, Dv, *_ = get_blocks(D)
+
+    assert np.allclose(Du @ Du + Dv @ Dv, np.identity(N))
diff --git a/FrequencyConversion/test_solve_EoM.py b/FrequencyConversion/test_solve_EoM.py
new file mode 100644
index 0000000..32cc57c
--- /dev/null
+++ b/FrequencyConversion/test_solve_EoM.py
@@ -0,0 +1,103 @@
+"""Tests for the solve_EoM functions"""
+
+import pytest
+import numpy as np
+from scipy.optimize import curve_fit
+from FC_solve_EoM import get_prop, get_JCA, get_schmidt, get_schmidt2, pulse_shape, get_blocks
+
+# pylint: disable=invalid-name
+# pylint: disable=too-many-arguments
+# pylint: disable=too-many-locals
+# pylint: disable=consider-using-enumerate
+
+
+@pytest.mark.parametrize("N", [101, 301, 1001])
+@pytest.mark.parametrize("amp", np.arange(0.01, 0.3, 0.02))
+def test_prop_blocks_1(N, amp):
+    """Tests that the propagator blocks follow the right relations"""
+    vc, vp, va = 1 / 1.5, 1 / 3, 1 / 4.5  # group velocities
+    dw_range = 10  # Range of frequency values
+    dw = np.linspace(-dw_range, dw_range, N)  # frequency difference vector
+    L = 1.35  # length of propagation in FC medium
+    sig = 1.1  # width of the (Hermite-Gaussian) pump shape
+    pump = amp * pulse_shape(dw[:, np.newaxis] - dw, sig)  # pump
+    _, prop = get_prop(dw, vp, va, vc, pump, L)  # matrix to exponentiate and propagator
+
+    Ua, Va, Vc, Uc = get_blocks(prop)
+    Vc = -Vc
+
+    cond1a = np.allclose(Ua @ Ua.T.conj() + Va @ Va.T.conj(), np.identity(N))
+    cond1b = np.allclose(Uc @ Uc.T.conj() + Vc @ Vc.T.conj(), np.identity(N))
+    assert cond1a and cond1b
+
+
+@pytest.mark.parametrize("N", [101, 301, 1001])
+@pytest.mark.parametrize("amp", np.linspace(0.01, 0.3, 10))
+def test_prop_blocks_2(N, amp):
+    """Tests that the propagator blocks follow the right relations"""
+    vc, vp, va = 1 / 1.5, 1 / 3, 1 / 4.5  # group velocities
+    dw_range = 10  # Range of frequency values
+    dw = np.linspace(-dw_range, dw_range, N)  # frequency difference vector
+    L = 1.35  # length of propagation in FC medium
+    sig = 1.1  # width of the (Hermite-Gaussian) pump shape
+    pump = amp * pulse_shape(dw[:, np.newaxis] - dw, sig)  # pump
+    _, prop = get_prop(dw, vp, va, vc, pump, L)  # matrix to exponentiate and propagator
+
+    Ua, Va, Vc, Uc = get_blocks(prop)
+    Vc = -Vc
+
+    assert np.allclose(Ua @ Vc.T.conj(), Va @ Uc.T.conj())
+
+
+@pytest.mark.parametrize("N", [101, 301])
+@pytest.mark.parametrize("amp", np.linspace(0.01, 0.3, 10))
+def test_noint(N, amp):
+    """Tests that when the nonlinear interaction is off, the propagator is diagonal"""
+    vc, vp, va = 1 / 1.5, 1 / 3, 1 / 4.5  # group velocities
+    dw_range = 10  # Range of frequency values
+    dw = np.linspace(-dw_range, dw_range, N)  # frequency difference vector
+    L = 1.35  # length of propagation in FC medium
+    sig = 1.1  # width of the (Hermite-Gaussian) pump shape
+    pump = amp * pulse_shape(dw[:, np.newaxis] - dw, sig)  # pump
+    _, prop = get_prop(dw, vp, va, vc, pump, L, D=0)  # propagator
+
+    assert np.allclose(prop - np.diag(np.diagonal(prop)), np.zeros(prop.shape))
+
+
+@pytest.mark.parametrize("N", [101, 301])
+@pytest.mark.parametrize("L", np.arange(0.5, 3, 0.5))
+def test_JCA_low_gain(N, L):
+    """Tests that the JCA at low gain matches a sinc times a gaussian"""
+    vc, vp, va = 1 / 1.5, 1 / 3, 1 / 4.5  # group velocities
+    dw_range = 10  # Range of frequency values
+    dw = np.linspace(-dw_range, dw_range, N)  # frequency difference vector
+    sig = 1.1  # width of the (Hermite-Gaussian) pump shape
+    amp = 1e-2  # pump amplitude for low gain
+    pump = amp * pulse_shape(dw[:, np.newaxis] - dw, sig)  # pump
+    _, prop = get_prop(dw, vp, va, vc, pump, L, D=0)  # propagator
+
+    def phase_matching(dw_a, dw_c, L):
+        dk = dw_a * (1 / va - 1 / vp) + dw_c * (1 / vp - 1 / vc)
+        return L / 2 * np.sinc(dk * L / 2)
+
+    def JSA_model(X, Y, sig, L, amp):
+        return np.abs(phase_matching(X, Y, L) * amp * pulse_shape(X - Y, sig))
+
+    def _JSA_model(M, sig, L, amp):
+        x, y = M
+        return JSA_model(x, y, sig, L, amp)
+
+    J = get_JCA(prop)
+
+    X, Y = np.meshgrid(dw, dw)
+
+    xdata = np.vstack((np.ravel(X), np.ravel(Y)))
+    ydata = np.ravel(np.abs(J))
+    p0 = (sig, amp, 6.28)
+
+    popt, pcov = curve_fit(_JSA_model, xdata, ydata, p0)
+
+    fit = JSA_model(X, Y, popt[0], popt[1], popt[2])
+
+    assert np.allclose(J, fit)
+

From d7235fd32a94894d05ce6c8064242ddaa8230339 Mon Sep 17 00:00:00 2001
From: Jan Viatteau <viatteau.jan@gmail.com>
Date: Wed, 14 Aug 2024 09:06:42 +0200
Subject: [PATCH 2/5] Switched jnp to np and replaced the scipy svd by the
 numpy one

---
 FrequencyConversion/FC_solve_EoM.py | 67 ++++++++++++++---------------
 1 file changed, 33 insertions(+), 34 deletions(-)

diff --git a/FrequencyConversion/FC_solve_EoM.py b/FrequencyConversion/FC_solve_EoM.py
index c4d4560..9c9001e 100644
--- a/FrequencyConversion/FC_solve_EoM.py
+++ b/FrequencyConversion/FC_solve_EoM.py
@@ -1,7 +1,6 @@
 """Functions to calculate the numerical solution to the FC equations of motion using linear algebra"""
 
-import numpy as jnp
-from scipy.linalg import svd
+import numpy as np
 from scipy.linalg import expm
 from scipy.special import hermite
 
@@ -36,7 +35,7 @@ def pulse_shape(dw, sig, n=0):
     Returns:
         array: pulse shape
     """
-    gaussian = jnp.exp(-(dw**2) / (2 * sig**2)) / jnp.sqrt(2 * jnp.pi * sig**2)
+    gaussian = np.exp(-(dw**2) / (2 * sig**2)) / np.sqrt(2 * np.pi * sig**2)
     return gaussian * hermite(n)(dw / sig)
 
 
@@ -83,11 +82,11 @@ def get_prop(dw, vp, va, vc, pump, L, D=1):
     ka = 1 / va - 1 / vp
     kc = 1 / vc - 1 / vp
 
-    Ka = jnp.diag(1j * dw * ka)
-    Kc = jnp.diag(1j * dw * kc)
+    Ka = np.diag(1j * dw * ka)
+    Kc = np.diag(1j * dw * kc)
     # Bottom left and upper right (non-diagonal) blocks
 
-    J = jnp.block([[Ka, -1j * jnp.conj(D) * pump], [-1j * D * pump.conj().T, Kc]])
+    J = np.block([[Ka, -1j * np.conj(D) * pump], [-1j * D * pump.conj().T, Kc]])
     prop = expm(J * L)
     return J, prop
 
@@ -115,19 +114,19 @@ def check_prop(prop, print_checks=False):
     cond3b = dag(Uc) @ Uc + dag(Va) @ Va
     cond2 = Ua @ dag(Vc) - Va @ dag(Uc)
     cond4 = dag(Ua) @ Va - dag(Vc) @ Uc
-    I = jnp.identity(N)
-    O = jnp.zeros((N, N))
-    conds = jnp.array([cond1a, cond1b, cond2, cond3a, cond3b, cond4])
-    comps = jnp.array([I, I, O, I, I, O])
+    I = np.identity(N)
+    O = np.zeros((N, N))
+    conds = np.array([cond1a, cond1b, cond2, cond3a, cond3b, cond4])
+    comps = np.array([I, I, O, I, I, O])
     labels = ["1a", "1b", "2", "3a", "3b", "4"]
-    to_return = jnp.array([])
+    to_return = np.array([])
     for i in range(len(labels)):
         cond = conds[i]
         comp = comps[i]
         txt = "Condition {name} is {TF}"
         if print_checks:
-            print(txt.format(name=labels[i], TF=jnp.allclose(cond, comp)))
-        to_return = jnp.append(to_return, jnp.max(jnp.abs(cond - comp)))
+            print(txt.format(name=labels[i], TF=np.allclose(cond, comp)))
+        to_return = np.append(to_return, np.max(np.abs(cond - comp)))
     return to_return
 
 
@@ -152,11 +151,11 @@ def remove_phases(prop, dw, L, vp, va, vc):
     # separate into blocks
     Ua, Va, Vc, Uc = get_blocks(prop)
     # remove phases
-    Uc = jnp.diag(jnp.exp(1j * dw * kc * L)) @ Uc
-    Vc = jnp.diag(jnp.exp(1j * dw * kc * L)) @ Vc
-    Va = jnp.diag(jnp.exp(-1j * dw * ka * L)) @ Va
-    Ua = jnp.diag(jnp.exp(-1j * dw * ka * L)) @ Ua
-    return jnp.block([[Ua, Va], [Vc, Uc]])
+    Uc = np.diag(np.exp(1j * dw * kc * L)) @ Uc
+    Vc = np.diag(np.exp(1j * dw * kc * L)) @ Vc
+    Va = np.diag(np.exp(-1j * dw * ka * L)) @ Va
+    Ua = np.diag(np.exp(-1j * dw * ka * L)) @ Ua
+    return np.block([[Ua, Va], [Vc, Uc]])
 
 
 def get_JCA(prop):
@@ -175,10 +174,10 @@ def get_JCA(prop):
         array :JCA as a matrix
     """
     Ua, _, Vc, _ = get_blocks(prop)
-    M = Ua @ jnp.conj(Vc).T
-    U, s, V = svd(M)
-    S = jnp.diag(s)
-    R = jnp.arcsin(2 * S) / 2
+    M = Ua @ np.conj(Vc).T
+    U, s, V = np.linalg.svd(M)
+    S = np.diag(s)
+    R = np.arcsin(2 * S) / 2
     J = U @ R @ V
     return J
 
@@ -204,11 +203,11 @@ def get_schmidt(prop):
         array)  :Schmidt coefficients squared
     """
     _, Va, _, _ = get_blocks(prop)
-    Numa = Va @ jnp.conj(Va).T  # Numbers matrix for a-beam
-    Na = jnp.real(jnp.trace(Numa))  # average number of photons in a-beam
-    val, u = jnp.linalg.eigh(Numa)  # schmidt coefficients squared and modes from eigendecomposition
-    val = jnp.flip(val)
-    u = jnp.flip(u, axis=1)
+    Numa = Va @ np.conj(Va).T  # Numbers matrix for a-beam
+    Na = np.real(np.trace(Numa))  # average number of photons in a-beam
+    val, u = np.linalg.eigh(Numa)  # schmidt coefficients squared and modes from eigendecomposition
+    val = np.flip(val)
+    u = np.flip(u, axis=1)
     return Na, val, u
 
 
@@ -229,10 +228,10 @@ def get_schmidt2(prop):
         array)  :the V matrix from the svd of Vc
     """
     _, Va, Vc, _ = get_blocks(prop)
-    varphiV, sinrk1, phiV = svd(Va)
-    xiV, sinrk2, psiV = svd(Vc)
-    varphiV = jnp.flip(varphiV, axis=0)
-    phiV = jnp.flip(phiV, axis=0)
-    xiV = jnp.flip(xiV, axis=0)
-    psiV = jnp.flip(psiV, axis=0)
-    return jnp.conj(varphiV), sinrk1, phiV.T, jnp.conj(xiV), sinrk2, psiV.T
+    varphiV, sinrk1, phiV = np.linalg.svd(Va)
+    xiV, sinrk2, psiV = np.linalg.svd(Vc)
+    varphiV = np.flip(varphiV, axis=0)
+    phiV = np.flip(phiV, axis=0)
+    xiV = np.flip(xiV, axis=0)
+    psiV = np.flip(psiV, axis=0)
+    return np.conj(varphiV), sinrk1, phiV.T, np.conj(xiV), sinrk2, psiV.T

From 90cc0de173438340b8e708d0bb1646cc578b8777 Mon Sep 17 00:00:00 2001
From: Jan Viatteau <viatteau.jan@gmail.com>
Date: Wed, 14 Aug 2024 09:11:25 +0200
Subject: [PATCH 3/5] Removed fermionic_bloch_messiah

---
 .../fermionic_bloch_messiah.py                | 28 -------------------
 1 file changed, 28 deletions(-)
 delete mode 100644 FrequencyConversion/fermionic_bloch_messiah.py

diff --git a/FrequencyConversion/fermionic_bloch_messiah.py b/FrequencyConversion/fermionic_bloch_messiah.py
deleted file mode 100644
index f6e1dd9..0000000
--- a/FrequencyConversion/fermionic_bloch_messiah.py
+++ /dev/null
@@ -1,28 +0,0 @@
-import numpy as np
-
-# pylint: disable=invalid-name
-# pylint: disable=too-many-arguments
-# pylint: disable=too-many-locals
-# pylint: disable=consider-using-enumerate
-
-def fermionic_bloch_messiah_1(M):
-    """Implements the fermionic Bloch-Messiah decomposition"""
-
-    size = M.shape[0]
-    size = size // 2
-    Ua = M[:size, :size]
-    Va = M[:size, size:]
-    Vc = M[size:, :size]
-    Uc = M[size:, size:]
-    Aa, C, Badag = np.linalg.svd(Ua)
-    Ac, _, Bcdag = np.linalg.svd(Uc)
-    isDa = np.diag(Aa.T.conj() @ Va @ Bcdag.T.conj())
-    isDaabs = np.abs(isDa)
-    sqrtangle = np.angle(isDa) / 2
-    phase = np.exp(1j * sqrtangle)
-    conjphase = phase.conj()
-    zero = np.zeros_like(Ac)
-    A = np.block([[Aa * phase, zero], [zero, Ac * conjphase]])
-    D = np.block([[np.diag(C), np.diag(isDaabs)], [-np.diag(isDaabs), np.diag(C)]])
-    Bdag = np.block([[conjphase[:, None] * Badag, zero], [zero, phase[:, None] * Bcdag]])
-    return A, D.real, Bdag

From bc62a3b1daa0ddbb86440c2a504768db7d041bac Mon Sep 17 00:00:00 2001
From: Jan Viatteau <viatteau.jan@gmail.com>
Date: Tue, 1 Oct 2024 20:01:38 +0200
Subject: [PATCH 4/5] Included discretization constant in interaction matrix
 and changed to L2 normalization for pump pulse

---
 FrequencyConversion/FC_solve_EoM.py         |   17 +-
 FrequencyConversion/example_solve_EoM.ipynb | 3197 +++++++++----------
 2 files changed, 1596 insertions(+), 1618 deletions(-)

diff --git a/FrequencyConversion/FC_solve_EoM.py b/FrequencyConversion/FC_solve_EoM.py
index 9c9001e..0660499 100644
--- a/FrequencyConversion/FC_solve_EoM.py
+++ b/FrequencyConversion/FC_solve_EoM.py
@@ -35,7 +35,7 @@ def pulse_shape(dw, sig, n=0):
     Returns:
         array: pulse shape
     """
-    gaussian = np.exp(-(dw**2) / (2 * sig**2)) / np.sqrt(2 * np.pi * sig**2)
+    gaussian = np.exp(-(dw**2) / (2 * sig**2)) / (np.pi * sig**2)**(1 / 4)
     return gaussian * hermite(n)(dw / sig)
 
 
@@ -84,9 +84,11 @@ def get_prop(dw, vp, va, vc, pump, L, D=1):
 
     Ka = np.diag(1j * dw * ka)
     Kc = np.diag(1j * dw * kc)
+    
     # Bottom left and upper right (non-diagonal) blocks
+    offdiag = np.conj(D) * pump * (dw[-1] - dw[0]) / (dw.size - 1)
 
-    J = np.block([[Ka, -1j * np.conj(D) * pump], [-1j * D * pump.conj().T, Kc]])
+    J = np.block([[Ka, -1j * offdiag], [-1j * offdiag.conj().T, Kc]])
     prop = expm(J * L)
     return J, prop
 
@@ -158,18 +160,14 @@ def remove_phases(prop, dw, L, vp, va, vc):
     return np.block([[Ua, Va], [Vc, Uc]])
 
 
-def get_JCA(prop):
+def get_JCA(prop, dw):
     """
     Gives the Joint Spectral Amplitude based on the propagator.
 
     Args:
         prop (array): propagator with phases
         dw (array): frequency vector
-        L (float) : length of propagation in crystal
-        vp (float): group velocity for pump
-        va (float): group velocity for a beam
-        vc (float): group velocity for c beam
-
+        
     Returns:
         array :JCA as a matrix
     """
@@ -178,7 +176,8 @@ def get_JCA(prop):
     U, s, V = np.linalg.svd(M)
     S = np.diag(s)
     R = np.arcsin(2 * S) / 2
-    J = U @ R @ V
+    delta_omega = (dw[-1] - dw[0]) / (dw.size - 1)
+    J = U @ R @ V / delta_omega
     return J
 
 
diff --git a/FrequencyConversion/example_solve_EoM.ipynb b/FrequencyConversion/example_solve_EoM.ipynb
index 7c7752c..4531f6a 100644
--- a/FrequencyConversion/example_solve_EoM.ipynb
+++ b/FrequencyConversion/example_solve_EoM.ipynb
@@ -9,7 +9,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 21,
+   "execution_count": 97,
    "metadata": {},
    "outputs": [
     {
@@ -40,7 +40,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 22,
+   "execution_count": 98,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -51,7 +51,7 @@
     "dw = np.linspace(-dw_range, dw_range, N)  # Frequency vector\n",
     "L = 1.35  # Length of propagation in FC medium\n",
     "sig = 1.1  # Width of the (Hermite-Gaussian) pump shape\n",
-    "amp = 0.08 # Pump amplitude\n",
+    "amp = 0.8 # Pump amplitude\n",
     "pump = amp * pulse_shape(dw[:, np.newaxis] - dw, sig, n = 0)  # Gaussian-shaped pump"
    ]
   },
@@ -64,7 +64,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 23,
+   "execution_count": 99,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -80,7 +80,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 24,
+   "execution_count": 100,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -91,16 +91,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 25,
+   "execution_count": 101,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<matplotlib.legend.Legend at 0x1355c49d890>"
+       "<matplotlib.legend.Legend at 0x1fb0dd74310>"
       ]
      },
-     "execution_count": 25,
+     "execution_count": 101,
      "metadata": {},
      "output_type": "execute_result"
     },
@@ -110,12 +110,12 @@
        "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
        "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
        "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
-       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"414.46375pt\" height=\"312.30825pt\" viewBox=\"0 0 414.46375 312.30825\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
+       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"408.10125pt\" height=\"312.30825pt\" viewBox=\"0 0 408.10125 312.30825\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
        " <metadata>\n",
        "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2024-08-11T12:57:50.269748</dc:date>\n",
+       "    <dc:date>2024-09-30T21:35:08.946848</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
@@ -131,18 +131,18 @@
        " <g id=\"figure_1\">\n",
        "  <g id=\"patch_1\">\n",
        "   <path d=\"M 0 312.30825 \n",
-       "L 414.46375 312.30825 \n",
-       "L 414.46375 0 \n",
+       "L 408.10125 312.30825 \n",
+       "L 408.10125 0 \n",
        "L 0 0 \n",
        "z\n",
        "\" style=\"fill: #ffffff\"/>\n",
        "  </g>\n",
        "  <g id=\"axes_1\">\n",
        "   <g id=\"patch_2\">\n",
-       "    <path d=\"M 50.14375 288.430125 \n",
-       "L 407.26375 288.430125 \n",
-       "L 407.26375 22.318125 \n",
-       "L 50.14375 22.318125 \n",
+       "    <path d=\"M 43.78125 288.430125 \n",
+       "L 400.90125 288.430125 \n",
+       "L 400.90125 22.318125 \n",
+       "L 43.78125 22.318125 \n",
        "z\n",
        "\" style=\"fill: #ffffff\"/>\n",
        "   </g>\n",
@@ -150,17 +150,17 @@
        "    <g id=\"xtick_1\">\n",
        "     <g id=\"line2d_1\">\n",
        "      <defs>\n",
-       "       <path id=\"mceb596a761\" d=\"M 0 0 \n",
+       "       <path id=\"m4e93110781\" d=\"M 0 0 \n",
        "L 0 3.5 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mceb596a761\" x=\"66.376477\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m4e93110781\" x=\"60.013977\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_1\">\n",
        "      <!-- −10.0 -->\n",
-       "      <g transform=\"translate(51.053821 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(44.691321 303.028562) scale(0.1 -0.1)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-2212\" d=\"M 678 2272 \n",
        "L 4684 2272 \n",
@@ -223,12 +223,12 @@
        "    <g id=\"xtick_2\">\n",
        "     <g id=\"line2d_2\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mceb596a761\" x=\"106.958295\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m4e93110781\" x=\"100.595795\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_2\">\n",
        "      <!-- −7.5 -->\n",
-       "      <g transform=\"translate(94.816889 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(88.454389 303.028562) scale(0.1 -0.1)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-37\" d=\"M 525 4666 \n",
        "L 3525 4666 \n",
@@ -276,12 +276,12 @@
        "    <g id=\"xtick_3\">\n",
        "     <g id=\"line2d_3\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mceb596a761\" x=\"147.540114\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m4e93110781\" x=\"141.177614\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_3\">\n",
        "      <!-- −5.0 -->\n",
-       "      <g transform=\"translate(135.398707 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(129.036207 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-35\" x=\"83.789062\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
@@ -292,12 +292,12 @@
        "    <g id=\"xtick_4\">\n",
        "     <g id=\"line2d_4\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mceb596a761\" x=\"188.121932\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m4e93110781\" x=\"181.759432\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_4\">\n",
        "      <!-- −2.5 -->\n",
-       "      <g transform=\"translate(175.980526 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(169.618026 303.028562) scale(0.1 -0.1)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-32\" d=\"M 1228 531 \n",
        "L 3431 531 \n",
@@ -334,12 +334,12 @@
        "    <g id=\"xtick_5\">\n",
        "     <g id=\"line2d_5\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mceb596a761\" x=\"228.70375\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m4e93110781\" x=\"222.34125\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_5\">\n",
        "      <!-- 0.0 -->\n",
-       "      <g transform=\"translate(220.752188 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(214.389688 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
@@ -349,12 +349,12 @@
        "    <g id=\"xtick_6\">\n",
        "     <g id=\"line2d_6\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mceb596a761\" x=\"269.285568\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m4e93110781\" x=\"262.923068\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_6\">\n",
        "      <!-- 2.5 -->\n",
-       "      <g transform=\"translate(261.334006 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(254.971506 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n",
@@ -364,12 +364,12 @@
        "    <g id=\"xtick_7\">\n",
        "     <g id=\"line2d_7\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mceb596a761\" x=\"309.867386\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m4e93110781\" x=\"303.504886\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_7\">\n",
        "      <!-- 5.0 -->\n",
-       "      <g transform=\"translate(301.915824 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(295.553324 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-35\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
@@ -379,12 +379,12 @@
        "    <g id=\"xtick_8\">\n",
        "     <g id=\"line2d_8\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mceb596a761\" x=\"350.449205\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m4e93110781\" x=\"344.086705\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_8\">\n",
        "      <!-- 7.5 -->\n",
-       "      <g transform=\"translate(342.497642 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(336.135142 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-37\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n",
@@ -394,12 +394,12 @@
        "    <g id=\"xtick_9\">\n",
        "     <g id=\"line2d_9\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mceb596a761\" x=\"391.031023\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m4e93110781\" x=\"384.668523\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_9\">\n",
        "      <!-- 10.0 -->\n",
-       "      <g transform=\"translate(379.89821 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(373.53571 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"127.246094\"/>\n",
@@ -412,167 +412,212 @@
        "    <g id=\"ytick_1\">\n",
        "     <g id=\"line2d_10\">\n",
        "      <defs>\n",
-       "       <path id=\"m27e3c44b2d\" d=\"M 0 0 \n",
+       "       <path id=\"m12dae59290\" d=\"M 0 0 \n",
        "L -3.5 0 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m27e3c44b2d\" x=\"50.14375\" y=\"276.334125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m12dae59290\" x=\"43.78125\" y=\"276.334125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_10\">\n",
-       "      <!-- 0.00 -->\n",
+       "      <!-- 0.0 -->\n",
        "      <g transform=\"translate(20.878125 280.133344) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"ytick_2\">\n",
        "     <g id=\"line2d_11\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m27e3c44b2d\" x=\"50.14375\" y=\"242.981932\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m12dae59290\" x=\"43.78125\" y=\"242.554441\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_11\">\n",
-       "      <!-- 0.05 -->\n",
-       "      <g transform=\"translate(20.878125 246.781151) scale(0.1 -0.1)\">\n",
+       "      <!-- 0.1 -->\n",
+       "      <g transform=\"translate(20.878125 246.35366) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-35\" x=\"159.033203\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-31\" x=\"95.410156\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"ytick_3\">\n",
        "     <g id=\"line2d_12\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m27e3c44b2d\" x=\"50.14375\" y=\"209.629739\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m12dae59290\" x=\"43.78125\" y=\"208.774757\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_12\">\n",
-       "      <!-- 0.10 -->\n",
-       "      <g transform=\"translate(20.878125 213.428957) scale(0.1 -0.1)\">\n",
+       "      <!-- 0.2 -->\n",
+       "      <g transform=\"translate(20.878125 212.573975) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-31\" x=\"95.410156\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-32\" x=\"95.410156\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"ytick_4\">\n",
        "     <g id=\"line2d_13\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m27e3c44b2d\" x=\"50.14375\" y=\"176.277545\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m12dae59290\" x=\"43.78125\" y=\"174.995073\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_13\">\n",
-       "      <!-- 0.15 -->\n",
-       "      <g transform=\"translate(20.878125 180.076764) scale(0.1 -0.1)\">\n",
+       "      <!-- 0.3 -->\n",
+       "      <g transform=\"translate(20.878125 178.794291) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-33\" d=\"M 2597 2516 \n",
+       "Q 3050 2419 3304 2112 \n",
+       "Q 3559 1806 3559 1356 \n",
+       "Q 3559 666 3084 287 \n",
+       "Q 2609 -91 1734 -91 \n",
+       "Q 1441 -91 1130 -33 \n",
+       "Q 819 25 488 141 \n",
+       "L 488 750 \n",
+       "Q 750 597 1062 519 \n",
+       "Q 1375 441 1716 441 \n",
+       "Q 2309 441 2620 675 \n",
+       "Q 2931 909 2931 1356 \n",
+       "Q 2931 1769 2642 2001 \n",
+       "Q 2353 2234 1838 2234 \n",
+       "L 1294 2234 \n",
+       "L 1294 2753 \n",
+       "L 1863 2753 \n",
+       "Q 2328 2753 2575 2939 \n",
+       "Q 2822 3125 2822 3475 \n",
+       "Q 2822 3834 2567 4026 \n",
+       "Q 2313 4219 1838 4219 \n",
+       "Q 1578 4219 1281 4162 \n",
+       "Q 984 4106 628 3988 \n",
+       "L 628 4550 \n",
+       "Q 988 4650 1302 4700 \n",
+       "Q 1616 4750 1894 4750 \n",
+       "Q 2613 4750 3031 4423 \n",
+       "Q 3450 4097 3450 3541 \n",
+       "Q 3450 3153 3228 2886 \n",
+       "Q 3006 2619 2597 2516 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-31\" x=\"95.410156\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-35\" x=\"159.033203\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-33\" x=\"95.410156\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"ytick_5\">\n",
        "     <g id=\"line2d_14\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m27e3c44b2d\" x=\"50.14375\" y=\"142.925352\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m12dae59290\" x=\"43.78125\" y=\"141.215388\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_14\">\n",
-       "      <!-- 0.20 -->\n",
-       "      <g transform=\"translate(20.878125 146.724571) scale(0.1 -0.1)\">\n",
+       "      <!-- 0.4 -->\n",
+       "      <g transform=\"translate(20.878125 145.014607) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-34\" d=\"M 2419 4116 \n",
+       "L 825 1625 \n",
+       "L 2419 1625 \n",
+       "L 2419 4116 \n",
+       "z\n",
+       "M 2253 4666 \n",
+       "L 3047 4666 \n",
+       "L 3047 1625 \n",
+       "L 3713 1625 \n",
+       "L 3713 1100 \n",
+       "L 3047 1100 \n",
+       "L 3047 0 \n",
+       "L 2419 0 \n",
+       "L 2419 1100 \n",
+       "L 313 1100 \n",
+       "L 313 1709 \n",
+       "L 2253 4666 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-32\" x=\"95.410156\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-34\" x=\"95.410156\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"ytick_6\">\n",
        "     <g id=\"line2d_15\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m27e3c44b2d\" x=\"50.14375\" y=\"109.573159\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m12dae59290\" x=\"43.78125\" y=\"107.435704\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_15\">\n",
-       "      <!-- 0.25 -->\n",
-       "      <g transform=\"translate(20.878125 113.372378) scale(0.1 -0.1)\">\n",
+       "      <!-- 0.5 -->\n",
+       "      <g transform=\"translate(20.878125 111.234923) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-32\" x=\"95.410156\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-35\" x=\"159.033203\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"ytick_7\">\n",
        "     <g id=\"line2d_16\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m27e3c44b2d\" x=\"50.14375\" y=\"76.220966\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m12dae59290\" x=\"43.78125\" y=\"73.65602\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_16\">\n",
-       "      <!-- 0.30 -->\n",
-       "      <g transform=\"translate(20.878125 80.020185) scale(0.1 -0.1)\">\n",
+       "      <!-- 0.6 -->\n",
+       "      <g transform=\"translate(20.878125 77.455239) scale(0.1 -0.1)\">\n",
        "       <defs>\n",
-       "        <path id=\"DejaVuSans-33\" d=\"M 2597 2516 \n",
-       "Q 3050 2419 3304 2112 \n",
-       "Q 3559 1806 3559 1356 \n",
-       "Q 3559 666 3084 287 \n",
-       "Q 2609 -91 1734 -91 \n",
-       "Q 1441 -91 1130 -33 \n",
-       "Q 819 25 488 141 \n",
-       "L 488 750 \n",
-       "Q 750 597 1062 519 \n",
-       "Q 1375 441 1716 441 \n",
-       "Q 2309 441 2620 675 \n",
-       "Q 2931 909 2931 1356 \n",
-       "Q 2931 1769 2642 2001 \n",
-       "Q 2353 2234 1838 2234 \n",
-       "L 1294 2234 \n",
-       "L 1294 2753 \n",
-       "L 1863 2753 \n",
-       "Q 2328 2753 2575 2939 \n",
-       "Q 2822 3125 2822 3475 \n",
-       "Q 2822 3834 2567 4026 \n",
-       "Q 2313 4219 1838 4219 \n",
-       "Q 1578 4219 1281 4162 \n",
-       "Q 984 4106 628 3988 \n",
-       "L 628 4550 \n",
-       "Q 988 4650 1302 4700 \n",
-       "Q 1616 4750 1894 4750 \n",
-       "Q 2613 4750 3031 4423 \n",
-       "Q 3450 4097 3450 3541 \n",
-       "Q 3450 3153 3228 2886 \n",
-       "Q 3006 2619 2597 2516 \n",
+       "        <path id=\"DejaVuSans-36\" d=\"M 2113 2584 \n",
+       "Q 1688 2584 1439 2293 \n",
+       "Q 1191 2003 1191 1497 \n",
+       "Q 1191 994 1439 701 \n",
+       "Q 1688 409 2113 409 \n",
+       "Q 2538 409 2786 701 \n",
+       "Q 3034 994 3034 1497 \n",
+       "Q 3034 2003 2786 2293 \n",
+       "Q 2538 2584 2113 2584 \n",
+       "z\n",
+       "M 3366 4563 \n",
+       "L 3366 3988 \n",
+       "Q 3128 4100 2886 4159 \n",
+       "Q 2644 4219 2406 4219 \n",
+       "Q 1781 4219 1451 3797 \n",
+       "Q 1122 3375 1075 2522 \n",
+       "Q 1259 2794 1537 2939 \n",
+       "Q 1816 3084 2150 3084 \n",
+       "Q 2853 3084 3261 2657 \n",
+       "Q 3669 2231 3669 1497 \n",
+       "Q 3669 778 3244 343 \n",
+       "Q 2819 -91 2113 -91 \n",
+       "Q 1303 -91 875 529 \n",
+       "Q 447 1150 447 2328 \n",
+       "Q 447 3434 972 4092 \n",
+       "Q 1497 4750 2381 4750 \n",
+       "Q 2619 4750 2861 4703 \n",
+       "Q 3103 4656 3366 4563 \n",
        "z\n",
        "\" transform=\"scale(0.015625)\"/>\n",
        "       </defs>\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-33\" x=\"95.410156\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-36\" x=\"95.410156\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"ytick_8\">\n",
        "     <g id=\"line2d_17\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m27e3c44b2d\" x=\"50.14375\" y=\"42.868773\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m12dae59290\" x=\"43.78125\" y=\"39.876336\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_17\">\n",
-       "      <!-- 0.35 -->\n",
-       "      <g transform=\"translate(20.878125 46.667992) scale(0.1 -0.1)\">\n",
+       "      <!-- 0.7 -->\n",
+       "      <g transform=\"translate(20.878125 43.675555) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-33\" x=\"95.410156\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-35\" x=\"159.033203\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-37\" x=\"95.410156\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
@@ -780,145 +825,145 @@
        "    </g>\n",
        "   </g>\n",
        "   <g id=\"line2d_18\">\n",
-       "    <path d=\"M 66.376477 276.334125 \n",
-       "L 391.031023 276.334125 \n",
-       "L 391.031023 276.334125 \n",
-       "\" clip-path=\"url(#pe0c4e9cc43)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "    <path d=\"M 60.013977 276.334125 \n",
+       "L 384.668523 276.334125 \n",
+       "L 384.668523 276.334125 \n",
+       "\" clip-path=\"url(#p4f27fe16c2)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"line2d_19\">\n",
-       "    <path d=\"M 66.376477 276.334125 \n",
-       "L 177.841205 276.235921 \n",
-       "L 184.334295 276.016655 \n",
-       "L 188.663023 275.699066 \n",
-       "L 192.99175 275.15097 \n",
-       "L 196.238295 274.533408 \n",
-       "L 199.484841 273.700964 \n",
-       "L 202.731386 272.634672 \n",
-       "L 205.977932 271.340386 \n",
-       "L 210.306659 269.333757 \n",
-       "L 217.881932 265.679833 \n",
-       "L 221.128477 264.401263 \n",
-       "L 223.292841 263.747567 \n",
-       "L 225.457205 263.291994 \n",
-       "L 227.621568 263.05806 \n",
-       "L 229.785932 263.05806 \n",
-       "L 231.950295 263.291994 \n",
-       "L 234.114659 263.747567 \n",
-       "L 236.279023 264.401263 \n",
-       "L 239.525568 265.679833 \n",
-       "L 243.854295 267.726663 \n",
-       "L 250.347386 270.864029 \n",
-       "L 253.593932 272.227385 \n",
-       "L 256.840477 273.371835 \n",
-       "L 260.087023 274.281137 \n",
-       "L 263.333568 274.96711 \n",
-       "L 266.580114 275.459567 \n",
-       "L 270.908841 275.881103 \n",
-       "L 276.31975 276.153988 \n",
-       "L 284.977205 276.301436 \n",
-       "L 307.703023 276.334029 \n",
-       "L 391.031023 276.334125 \n",
-       "L 391.031023 276.334125 \n",
-       "\" clip-path=\"url(#pe0c4e9cc43)\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "    <path d=\"M 60.013977 276.334125 \n",
+       "L 171.478705 276.240491 \n",
+       "L 177.971795 276.031429 \n",
+       "L 183.382705 275.621977 \n",
+       "L 187.711432 275.030727 \n",
+       "L 190.957977 274.376678 \n",
+       "L 194.204523 273.509692 \n",
+       "L 197.451068 272.418502 \n",
+       "L 200.697614 271.118593 \n",
+       "L 206.108523 268.639439 \n",
+       "L 211.519432 266.175657 \n",
+       "L 214.765977 264.956587 \n",
+       "L 216.930341 264.333313 \n",
+       "L 219.094705 263.898941 \n",
+       "L 221.259068 263.675894 \n",
+       "L 223.423432 263.675894 \n",
+       "L 225.587795 263.898941 \n",
+       "L 227.752159 264.333313 \n",
+       "L 229.916523 264.956587 \n",
+       "L 233.163068 266.175657 \n",
+       "L 237.491795 268.127232 \n",
+       "L 243.984886 271.118593 \n",
+       "L 247.231432 272.418502 \n",
+       "L 250.477977 273.509692 \n",
+       "L 253.724523 274.376678 \n",
+       "L 256.971068 275.030727 \n",
+       "L 261.299795 275.621977 \n",
+       "L 265.628523 275.971732 \n",
+       "L 272.121614 276.218995 \n",
+       "L 281.86125 276.318852 \n",
+       "L 321.901977 276.334125 \n",
+       "L 384.668523 276.334125 \n",
+       "L 384.668523 276.334125 \n",
+       "\" clip-path=\"url(#p4f27fe16c2)\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"line2d_20\">\n",
-       "    <path d=\"M 66.376477 276.334125 \n",
-       "L 158.361932 276.230896 \n",
-       "L 163.772841 276.008811 \n",
-       "L 167.019386 275.714311 \n",
-       "L 170.265932 275.191606 \n",
-       "L 172.430295 274.647747 \n",
-       "L 174.594659 273.881304 \n",
-       "L 176.759023 272.818553 \n",
-       "L 178.923386 271.368828 \n",
-       "L 181.08775 269.423559 \n",
-       "L 182.169932 268.226288 \n",
-       "L 183.252114 266.856463 \n",
-       "L 184.334295 265.295824 \n",
-       "L 185.416477 263.525338 \n",
-       "L 186.498659 261.525368 \n",
-       "L 187.580841 259.275895 \n",
-       "L 188.663023 256.756764 \n",
-       "L 189.745205 253.94799 \n",
-       "L 191.909568 247.384466 \n",
-       "L 194.073932 239.44257 \n",
-       "L 196.238295 230.007607 \n",
-       "L 198.402659 219.00814 \n",
-       "L 200.567023 206.431645 \n",
-       "L 202.731386 192.339244 \n",
-       "L 204.89575 176.87784 \n",
-       "L 208.142295 151.671197 \n",
-       "L 215.717568 90.631931 \n",
-       "L 217.881932 75.002713 \n",
-       "L 220.046295 61.241647 \n",
-       "L 221.128477 55.233862 \n",
-       "L 222.210659 49.891548 \n",
-       "L 223.292841 45.270429 \n",
-       "L 224.375023 41.419456 \n",
-       "L 225.457205 38.379937 \n",
-       "L 226.539386 36.184803 \n",
-       "L 227.621568 34.858015 \n",
-       "L 228.70375 34.414125 \n",
-       "L 229.785932 34.858015 \n",
-       "L 230.868114 36.184803 \n",
-       "L 231.950295 38.379937 \n",
-       "L 233.032477 41.419456 \n",
-       "L 234.114659 45.270429 \n",
-       "L 235.196841 49.891548 \n",
-       "L 236.279023 55.233862 \n",
-       "L 238.443386 67.853364 \n",
-       "L 240.60775 82.619732 \n",
-       "L 242.772114 98.965428 \n",
-       "L 247.100841 134.047298 \n",
-       "L 251.429568 168.705167 \n",
-       "L 253.593932 184.766884 \n",
-       "L 255.758295 199.567879 \n",
-       "L 257.922659 212.915086 \n",
-       "L 260.087023 224.705781 \n",
-       "L 262.251386 234.917385 \n",
-       "L 264.41575 243.593813 \n",
-       "L 266.580114 250.83009 \n",
-       "L 268.744477 256.756764 \n",
-       "L 270.908841 261.525368 \n",
-       "L 273.073205 265.295824 \n",
-       "L 275.237568 268.226288 \n",
-       "L 277.401932 270.465626 \n",
-       "L 279.566295 272.148424 \n",
-       "L 281.730659 273.392221 \n",
-       "L 283.895023 274.296576 \n",
-       "L 286.059386 274.94351 \n",
-       "L 288.22375 275.398882 \n",
-       "L 291.470295 275.832317 \n",
-       "L 295.799023 276.126305 \n",
-       "L 302.292114 276.284516 \n",
-       "L 317.442659 276.333076 \n",
-       "L 391.031023 276.334125 \n",
-       "L 391.031023 276.334125 \n",
-       "\" clip-path=\"url(#pe0c4e9cc43)\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "    <path d=\"M 60.013977 276.334125 \n",
+       "L 151.999432 276.230896 \n",
+       "L 157.410341 276.008811 \n",
+       "L 160.656886 275.714311 \n",
+       "L 163.903432 275.191606 \n",
+       "L 166.067795 274.647747 \n",
+       "L 168.232159 273.881304 \n",
+       "L 170.396523 272.818553 \n",
+       "L 172.560886 271.368828 \n",
+       "L 174.72525 269.423559 \n",
+       "L 175.807432 268.226288 \n",
+       "L 176.889614 266.856463 \n",
+       "L 177.971795 265.295824 \n",
+       "L 179.053977 263.525338 \n",
+       "L 180.136159 261.525368 \n",
+       "L 181.218341 259.275895 \n",
+       "L 182.300523 256.756764 \n",
+       "L 183.382705 253.94799 \n",
+       "L 185.547068 247.384466 \n",
+       "L 187.711432 239.44257 \n",
+       "L 189.875795 230.007607 \n",
+       "L 192.040159 219.00814 \n",
+       "L 194.204523 206.431645 \n",
+       "L 196.368886 192.339244 \n",
+       "L 198.53325 176.87784 \n",
+       "L 201.779795 151.671197 \n",
+       "L 209.355068 90.631931 \n",
+       "L 211.519432 75.002713 \n",
+       "L 213.683795 61.241647 \n",
+       "L 214.765977 55.233862 \n",
+       "L 215.848159 49.891548 \n",
+       "L 216.930341 45.270429 \n",
+       "L 218.012523 41.419456 \n",
+       "L 219.094705 38.379937 \n",
+       "L 220.176886 36.184803 \n",
+       "L 221.259068 34.858015 \n",
+       "L 222.34125 34.414125 \n",
+       "L 223.423432 34.858015 \n",
+       "L 224.505614 36.184803 \n",
+       "L 225.587795 38.379937 \n",
+       "L 226.669977 41.419456 \n",
+       "L 227.752159 45.270429 \n",
+       "L 228.834341 49.891548 \n",
+       "L 229.916523 55.233862 \n",
+       "L 232.080886 67.853364 \n",
+       "L 234.24525 82.619732 \n",
+       "L 236.409614 98.965428 \n",
+       "L 240.738341 134.047298 \n",
+       "L 245.067068 168.705167 \n",
+       "L 247.231432 184.766884 \n",
+       "L 249.395795 199.567879 \n",
+       "L 251.560159 212.915086 \n",
+       "L 253.724523 224.705781 \n",
+       "L 255.888886 234.917385 \n",
+       "L 258.05325 243.593813 \n",
+       "L 260.217614 250.83009 \n",
+       "L 262.381977 256.756764 \n",
+       "L 264.546341 261.525368 \n",
+       "L 266.710705 265.295824 \n",
+       "L 268.875068 268.226288 \n",
+       "L 271.039432 270.465626 \n",
+       "L 273.203795 272.148424 \n",
+       "L 275.368159 273.392221 \n",
+       "L 277.532523 274.296576 \n",
+       "L 279.696886 274.94351 \n",
+       "L 281.86125 275.398882 \n",
+       "L 285.107795 275.832317 \n",
+       "L 289.436523 276.126305 \n",
+       "L 295.929614 276.284516 \n",
+       "L 311.080159 276.333076 \n",
+       "L 384.668523 276.334125 \n",
+       "L 384.668523 276.334125 \n",
+       "\" clip-path=\"url(#p4f27fe16c2)\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_3\">\n",
-       "    <path d=\"M 50.14375 288.430125 \n",
-       "L 50.14375 22.318125 \n",
+       "    <path d=\"M 43.78125 288.430125 \n",
+       "L 43.78125 22.318125 \n",
        "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_4\">\n",
-       "    <path d=\"M 407.26375 288.430125 \n",
-       "L 407.26375 22.318125 \n",
+       "    <path d=\"M 400.90125 288.430125 \n",
+       "L 400.90125 22.318125 \n",
        "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_5\">\n",
-       "    <path d=\"M 50.14375 288.430125 \n",
-       "L 407.26375 288.430125 \n",
+       "    <path d=\"M 43.78125 288.430125 \n",
+       "L 400.90125 288.430125 \n",
        "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_6\">\n",
-       "    <path d=\"M 50.14375 22.318125 \n",
-       "L 407.26375 22.318125 \n",
+       "    <path d=\"M 43.78125 22.318125 \n",
+       "L 400.90125 22.318125 \n",
        "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"text_19\">\n",
        "    <!-- Input pulses -->\n",
-       "    <g transform=\"translate(192.039062 16.318125) scale(0.12 -0.12)\">\n",
+       "    <g transform=\"translate(185.676562 16.318125) scale(0.12 -0.12)\">\n",
        "     <defs>\n",
        "      <path id=\"DejaVuSans-49\" d=\"M 628 4666 \n",
        "L 1259 4666 \n",
@@ -995,27 +1040,27 @@
        "   </g>\n",
        "   <g id=\"legend_1\">\n",
        "    <g id=\"patch_7\">\n",
-       "     <path d=\"M 57.14375 74.3525 \n",
-       "L 207.8125 74.3525 \n",
-       "Q 209.8125 74.3525 209.8125 72.3525 \n",
-       "L 209.8125 29.318125 \n",
-       "Q 209.8125 27.318125 207.8125 27.318125 \n",
-       "L 57.14375 27.318125 \n",
-       "Q 55.14375 27.318125 55.14375 29.318125 \n",
-       "L 55.14375 72.3525 \n",
-       "Q 55.14375 74.3525 57.14375 74.3525 \n",
+       "     <path d=\"M 50.78125 74.3525 \n",
+       "L 201.45 74.3525 \n",
+       "Q 203.45 74.3525 203.45 72.3525 \n",
+       "L 203.45 29.318125 \n",
+       "Q 203.45 27.318125 201.45 27.318125 \n",
+       "L 50.78125 27.318125 \n",
+       "Q 48.78125 27.318125 48.78125 29.318125 \n",
+       "L 48.78125 72.3525 \n",
+       "Q 48.78125 74.3525 50.78125 74.3525 \n",
        "z\n",
        "\" style=\"fill: #ffffff; opacity: 0.8; stroke: #cccccc; stroke-linejoin: miter\"/>\n",
        "    </g>\n",
        "    <g id=\"line2d_21\">\n",
-       "     <path d=\"M 59.14375 35.416562 \n",
-       "L 69.14375 35.416562 \n",
-       "L 79.14375 35.416562 \n",
+       "     <path d=\"M 52.78125 35.416562 \n",
+       "L 62.78125 35.416562 \n",
+       "L 72.78125 35.416562 \n",
        "\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "    </g>\n",
        "    <g id=\"text_20\">\n",
        "     <!-- Initial $E_a$ -->\n",
-       "     <g transform=\"translate(87.14375 38.916562) scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(80.78125 38.916562) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
        "       <path id=\"DejaVuSans-61\" d=\"M 2194 1759 \n",
        "Q 1497 1759 1228 1600 \n",
@@ -1116,14 +1161,14 @@
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"line2d_22\">\n",
-       "     <path d=\"M 59.14375 50.094687 \n",
-       "L 69.14375 50.094687 \n",
-       "L 79.14375 50.094687 \n",
+       "     <path d=\"M 52.78125 50.094687 \n",
+       "L 62.78125 50.094687 \n",
+       "L 72.78125 50.094687 \n",
        "\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "    </g>\n",
        "    <g id=\"text_21\">\n",
        "     <!-- Initial $E_c$ -->\n",
-       "     <g transform=\"translate(87.14375 53.594687) scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(80.78125 53.594687) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
        "       <path id=\"DejaVuSans-Oblique-63\" d=\"M 3431 3366 \n",
        "L 3316 2797 \n",
@@ -1164,14 +1209,14 @@
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"line2d_23\">\n",
-       "     <path d=\"M 59.14375 64.772812 \n",
-       "L 69.14375 64.772812 \n",
-       "L 79.14375 64.772812 \n",
+       "     <path d=\"M 52.78125 64.772812 \n",
+       "L 62.78125 64.772812 \n",
+       "L 72.78125 64.772812 \n",
        "\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "    </g>\n",
        "    <g id=\"text_22\">\n",
        "     <!-- Normalized pump pulse -->\n",
-       "     <g transform=\"translate(87.14375 68.272812) scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(80.78125 68.272812) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
        "       <path id=\"DejaVuSans-4e\" d=\"M 628 4666 \n",
        "L 1478 4666 \n",
@@ -1265,8 +1310,8 @@
        "  </g>\n",
        " </g>\n",
        " <defs>\n",
-       "  <clipPath id=\"pe0c4e9cc43\">\n",
-       "   <rect x=\"50.14375\" y=\"22.318125\" width=\"357.12\" height=\"266.112\"/>\n",
+       "  <clipPath id=\"p4f27fe16c2\">\n",
+       "   <rect x=\"43.78125\" y=\"22.318125\" width=\"357.12\" height=\"266.112\"/>\n",
        "  </clipPath>\n",
        " </defs>\n",
        "</svg>\n"
@@ -1297,7 +1342,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 26,
+   "execution_count": 102,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1307,7 +1352,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 27,
+   "execution_count": 103,
    "metadata": {},
    "outputs": [
     {
@@ -1316,7 +1361,7 @@
        "Text(0.5, 1.0, 'a beam / down-converted beam')"
       ]
      },
-     "execution_count": 27,
+     "execution_count": 103,
      "metadata": {},
      "output_type": "execute_result"
     },
@@ -1326,12 +1371,12 @@
        "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
        "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
        "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
-       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"429.205937pt\" height=\"325.986375pt\" viewBox=\"0 0 429.205937 325.986375\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
+       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"422.843437pt\" height=\"325.986375pt\" viewBox=\"0 0 422.843437 325.986375\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
        " <metadata>\n",
        "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2024-08-11T12:57:50.546072</dc:date>\n",
+       "    <dc:date>2024-09-30T21:35:09.214932</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
@@ -1347,18 +1392,18 @@
        " <g id=\"figure_1\">\n",
        "  <g id=\"patch_1\">\n",
        "   <path d=\"M 0 325.986375 \n",
-       "L 429.205937 325.986375 \n",
-       "L 429.205937 0 \n",
+       "L 422.843437 325.986375 \n",
+       "L 422.843437 0 \n",
        "L 0 0 \n",
        "z\n",
        "\" style=\"fill: #ffffff\"/>\n",
        "  </g>\n",
        "  <g id=\"axes_1\">\n",
        "   <g id=\"patch_2\">\n",
-       "    <path d=\"M 64.885937 288.430125 \n",
-       "L 422.005938 288.430125 \n",
-       "L 422.005938 22.318125 \n",
-       "L 64.885937 22.318125 \n",
+       "    <path d=\"M 58.523438 288.430125 \n",
+       "L 415.643438 288.430125 \n",
+       "L 415.643438 22.318125 \n",
+       "L 58.523438 22.318125 \n",
        "z\n",
        "\" style=\"fill: #ffffff\"/>\n",
        "   </g>\n",
@@ -1366,17 +1411,17 @@
        "    <g id=\"xtick_1\">\n",
        "     <g id=\"line2d_1\">\n",
        "      <defs>\n",
-       "       <path id=\"m02656912d6\" d=\"M 0 0 \n",
+       "       <path id=\"m93e7985aad\" d=\"M 0 0 \n",
        "L 0 3.5 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m02656912d6\" x=\"81.118665\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m93e7985aad\" x=\"74.756165\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_1\">\n",
        "      <!-- −10.0 -->\n",
-       "      <g transform=\"translate(65.796009 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(59.433509 303.028562) scale(0.1 -0.1)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-2212\" d=\"M 678 2272 \n",
        "L 4684 2272 \n",
@@ -1439,12 +1484,12 @@
        "    <g id=\"xtick_2\">\n",
        "     <g id=\"line2d_2\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m02656912d6\" x=\"121.700483\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m93e7985aad\" x=\"115.337983\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_2\">\n",
        "      <!-- −7.5 -->\n",
-       "      <g transform=\"translate(109.559077 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(103.196577 303.028562) scale(0.1 -0.1)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-37\" d=\"M 525 4666 \n",
        "L 3525 4666 \n",
@@ -1492,12 +1537,12 @@
        "    <g id=\"xtick_3\">\n",
        "     <g id=\"line2d_3\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m02656912d6\" x=\"162.282301\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m93e7985aad\" x=\"155.919801\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_3\">\n",
        "      <!-- −5.0 -->\n",
-       "      <g transform=\"translate(150.140895 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(143.778395 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-35\" x=\"83.789062\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
@@ -1508,12 +1553,12 @@
        "    <g id=\"xtick_4\">\n",
        "     <g id=\"line2d_4\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m02656912d6\" x=\"202.864119\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m93e7985aad\" x=\"196.501619\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_4\">\n",
        "      <!-- −2.5 -->\n",
-       "      <g transform=\"translate(190.722713 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(184.360213 303.028562) scale(0.1 -0.1)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-32\" d=\"M 1228 531 \n",
        "L 3431 531 \n",
@@ -1550,12 +1595,12 @@
        "    <g id=\"xtick_5\">\n",
        "     <g id=\"line2d_5\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m02656912d6\" x=\"243.445938\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m93e7985aad\" x=\"237.083438\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_5\">\n",
        "      <!-- 0.0 -->\n",
-       "      <g transform=\"translate(235.494375 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(229.131875 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
@@ -1565,12 +1610,12 @@
        "    <g id=\"xtick_6\">\n",
        "     <g id=\"line2d_6\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m02656912d6\" x=\"284.027756\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m93e7985aad\" x=\"277.665256\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_6\">\n",
        "      <!-- 2.5 -->\n",
-       "      <g transform=\"translate(276.076193 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(269.713693 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n",
@@ -1580,12 +1625,12 @@
        "    <g id=\"xtick_7\">\n",
        "     <g id=\"line2d_7\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m02656912d6\" x=\"324.609574\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m93e7985aad\" x=\"318.247074\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_7\">\n",
        "      <!-- 5.0 -->\n",
-       "      <g transform=\"translate(316.658011 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(310.295511 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-35\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
@@ -1595,12 +1640,12 @@
        "    <g id=\"xtick_8\">\n",
        "     <g id=\"line2d_8\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m02656912d6\" x=\"365.191392\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m93e7985aad\" x=\"358.828892\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_8\">\n",
        "      <!-- 7.5 -->\n",
-       "      <g transform=\"translate(357.23983 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(350.87733 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-37\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n",
@@ -1610,12 +1655,12 @@
        "    <g id=\"xtick_9\">\n",
        "     <g id=\"line2d_9\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m02656912d6\" x=\"405.77321\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m93e7985aad\" x=\"399.41071\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_9\">\n",
        "      <!-- 10.0 -->\n",
-       "      <g transform=\"translate(394.640398 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(388.277898 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"127.246094\"/>\n",
@@ -1625,7 +1670,7 @@
        "    </g>\n",
        "    <g id=\"text_10\">\n",
        "     <!-- $\\delta\\omega$ -->\n",
-       "     <g transform=\"translate(236.195938 316.706687) scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(229.833438 316.706687) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
        "       <path id=\"DejaVuSans-Oblique-3b4\" d=\"M 3472 4053 \n",
        "Q 3197 4272 2450 4272 \n",
@@ -1684,98 +1729,93 @@
        "    <g id=\"ytick_1\">\n",
        "     <g id=\"line2d_10\">\n",
        "      <defs>\n",
-       "       <path id=\"mef14cef2e9\" d=\"M 0 0 \n",
+       "       <path id=\"m97087f32b5\" d=\"M 0 0 \n",
        "L -3.5 0 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mef14cef2e9\" x=\"64.885937\" y=\"259.085126\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m97087f32b5\" x=\"58.523438\" y=\"261.496373\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_11\">\n",
-       "      <!-- −0.010 -->\n",
-       "      <g transform=\"translate(20.878125 262.884345) scale(0.1 -0.1)\">\n",
+       "      <!-- −0.02 -->\n",
+       "      <g transform=\"translate(20.878125 265.295592) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"83.789062\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"179.199219\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-31\" x=\"242.822266\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"306.445312\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-32\" x=\"242.822266\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"ytick_2\">\n",
        "     <g id=\"line2d_11\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mef14cef2e9\" x=\"64.885937\" y=\"207.229625\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m97087f32b5\" x=\"58.523438\" y=\"208.435249\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_12\">\n",
-       "      <!-- −0.005 -->\n",
-       "      <g transform=\"translate(20.878125 211.028844) scale(0.1 -0.1)\">\n",
+       "      <!-- −0.01 -->\n",
+       "      <g transform=\"translate(20.878125 212.234468) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"83.789062\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"179.199219\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"242.822266\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-35\" x=\"306.445312\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-31\" x=\"242.822266\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"ytick_3\">\n",
        "     <g id=\"line2d_12\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mef14cef2e9\" x=\"64.885937\" y=\"155.374125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m97087f32b5\" x=\"58.523438\" y=\"155.374125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_13\">\n",
-       "      <!-- 0.000 -->\n",
-       "      <g transform=\"translate(29.257812 159.173344) scale(0.1 -0.1)\">\n",
+       "      <!-- 0.00 -->\n",
+       "      <g transform=\"translate(29.257813 159.173344) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"222.65625\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"ytick_4\">\n",
        "     <g id=\"line2d_13\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mef14cef2e9\" x=\"64.885937\" y=\"103.518625\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m97087f32b5\" x=\"58.523438\" y=\"102.313001\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_14\">\n",
-       "      <!-- 0.005 -->\n",
-       "      <g transform=\"translate(29.257812 107.317843) scale(0.1 -0.1)\">\n",
+       "      <!-- 0.01 -->\n",
+       "      <g transform=\"translate(29.257813 106.11222) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-35\" x=\"222.65625\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-31\" x=\"159.033203\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"ytick_5\">\n",
        "     <g id=\"line2d_14\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mef14cef2e9\" x=\"64.885937\" y=\"51.663124\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m97087f32b5\" x=\"58.523438\" y=\"49.251877\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_15\">\n",
-       "      <!-- 0.010 -->\n",
-       "      <g transform=\"translate(29.257812 55.462343) scale(0.1 -0.1)\">\n",
+       "      <!-- 0.02 -->\n",
+       "      <g transform=\"translate(29.257813 53.051096) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-31\" x=\"159.033203\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"222.65625\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-32\" x=\"159.033203\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"text_16\">\n",
        "     <!-- Amplitude -->\n",
-       "     <g transform=\"translate(14.798437 180.996781) rotate(-90) scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(14.798438 180.996781) rotate(-90) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
        "       <path id=\"DejaVuSans-41\" d=\"M 2188 4044 \n",
        "L 1331 1722 \n",
@@ -1977,249 +2017,257 @@
        "    </g>\n",
        "   </g>\n",
        "   <g id=\"line2d_15\">\n",
-       "    <path d=\"M 81.118665 155.374123 \n",
-       "L 162.282301 155.271604 \n",
-       "L 178.515028 154.96748 \n",
-       "L 181.761574 154.611634 \n",
-       "L 183.925938 154.186465 \n",
-       "L 186.090301 153.563849 \n",
-       "L 188.254665 152.71834 \n",
-       "L 190.419028 151.64877 \n",
-       "L 193.665574 149.700057 \n",
-       "L 200.158665 145.536582 \n",
-       "L 203.40521 143.851904 \n",
-       "L 208.816119 141.277814 \n",
-       "L 209.898301 140.578133 \n",
-       "L 210.980483 139.730638 \n",
-       "L 212.062665 138.694045 \n",
-       "L 213.144847 137.428728 \n",
-       "L 214.227028 135.899386 \n",
-       "L 215.30921 134.077864 \n",
-       "L 216.391392 131.94599 \n",
-       "L 217.473574 129.498259 \n",
-       "L 219.637938 123.710279 \n",
-       "L 221.802301 116.999728 \n",
-       "L 225.048847 106.536859 \n",
-       "L 226.131028 103.373863 \n",
-       "L 227.21321 100.583535 \n",
-       "L 228.295392 98.297809 \n",
-       "L 229.377574 96.645161 \n",
-       "L 230.459756 95.744983 \n",
-       "L 231.541937 95.701966 \n",
-       "L 232.624119 96.600778 \n",
-       "L 233.706301 98.501322 \n",
-       "L 234.788483 101.434833 \n",
-       "L 235.870665 105.401061 \n",
-       "L 236.952847 110.366708 \n",
-       "L 238.035028 116.265255 \n",
-       "L 239.11721 122.998241 \n",
-       "L 241.281574 138.431461 \n",
-       "L 246.692483 180.310297 \n",
-       "L 248.856847 194.482995 \n",
-       "L 249.939028 200.381542 \n",
-       "L 251.02121 205.347189 \n",
-       "L 252.103392 209.313417 \n",
-       "L 253.185574 212.246928 \n",
-       "L 254.267756 214.147472 \n",
-       "L 255.349938 215.046284 \n",
-       "L 256.432119 215.003267 \n",
-       "L 257.514301 214.103089 \n",
-       "L 258.596483 212.450441 \n",
-       "L 259.678665 210.164715 \n",
-       "L 260.760847 207.374387 \n",
-       "L 262.92521 200.80575 \n",
-       "L 267.253938 187.037971 \n",
-       "L 269.418301 181.249991 \n",
-       "L 270.500483 178.80226 \n",
-       "L 271.582665 176.670386 \n",
-       "L 272.664847 174.848864 \n",
-       "L 273.747028 173.319522 \n",
-       "L 274.82921 172.054205 \n",
-       "L 275.911392 171.017612 \n",
-       "L 276.993574 170.170117 \n",
-       "L 279.157938 168.878015 \n",
-       "L 286.73321 165.211668 \n",
-       "L 289.979756 163.190566 \n",
-       "L 295.390665 159.7101 \n",
-       "L 297.555028 158.537796 \n",
-       "L 299.719392 157.578545 \n",
-       "L 301.883756 156.846365 \n",
-       "L 304.048119 156.326789 \n",
-       "L 306.212483 155.985942 \n",
-       "L 309.459028 155.715359 \n",
-       "L 314.869937 155.580474 \n",
-       "L 346.25321 155.376379 \n",
-       "L 405.77321 155.374127 \n",
-       "L 405.77321 155.374127 \n",
-       "\" clip-path=\"url(#pd4d9c94c16)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "    <path d=\"M 74.756165 155.374122 \n",
+       "L 152.673256 155.279403 \n",
+       "L 167.823801 154.846665 \n",
+       "L 172.152528 154.617054 \n",
+       "L 174.316892 154.364932 \n",
+       "L 176.481256 153.938577 \n",
+       "L 178.645619 153.266056 \n",
+       "L 180.809983 152.281577 \n",
+       "L 182.974347 150.941644 \n",
+       "L 185.13871 149.241874 \n",
+       "L 187.303074 147.230161 \n",
+       "L 194.878347 139.620785 \n",
+       "L 197.04271 137.964774 \n",
+       "L 199.207074 136.741445 \n",
+       "L 201.371438 135.90823 \n",
+       "L 205.700165 134.601632 \n",
+       "L 206.782347 134.11645 \n",
+       "L 207.864528 133.475573 \n",
+       "L 208.94671 132.635707 \n",
+       "L 210.028892 131.56016 \n",
+       "L 211.111074 130.222051 \n",
+       "L 212.193256 128.607327 \n",
+       "L 213.275438 126.717378 \n",
+       "L 215.439801 122.205996 \n",
+       "L 220.85071 109.684289 \n",
+       "L 221.932892 107.759894 \n",
+       "L 223.015074 106.30525 \n",
+       "L 224.097256 105.436877 \n",
+       "L 225.179437 105.260234 \n",
+       "L 226.261619 105.864131 \n",
+       "L 227.343801 107.315649 \n",
+       "L 228.425983 109.655831 \n",
+       "L 229.508165 112.896431 \n",
+       "L 230.590347 117.017927 \n",
+       "L 231.672528 121.968939 \n",
+       "L 232.75471 127.667147 \n",
+       "L 234.919074 140.836895 \n",
+       "L 240.329983 176.746574 \n",
+       "L 242.494347 188.779311 \n",
+       "L 243.576528 193.730323 \n",
+       "L 244.65871 197.851819 \n",
+       "L 245.740892 201.092419 \n",
+       "L 246.823074 203.432601 \n",
+       "L 247.905256 204.884119 \n",
+       "L 248.987437 205.488016 \n",
+       "L 250.069619 205.311373 \n",
+       "L 251.151801 204.443 \n",
+       "L 252.233983 202.988356 \n",
+       "L 253.316165 201.063961 \n",
+       "L 255.480528 196.292867 \n",
+       "L 258.727074 188.542254 \n",
+       "L 260.891437 184.030872 \n",
+       "L 261.973619 182.140923 \n",
+       "L 263.055801 180.526199 \n",
+       "L 264.137983 179.18809 \n",
+       "L 265.220165 178.112543 \n",
+       "L 266.302347 177.272677 \n",
+       "L 267.384528 176.6318 \n",
+       "L 269.548892 175.77045 \n",
+       "L 273.877619 174.464431 \n",
+       "L 276.041983 173.44955 \n",
+       "L 278.206347 172.00742 \n",
+       "L 280.37071 170.155847 \n",
+       "L 283.617256 166.877434 \n",
+       "L 286.863801 163.518089 \n",
+       "L 289.028165 161.506376 \n",
+       "L 291.192528 159.806606 \n",
+       "L 293.356892 158.466673 \n",
+       "L 295.521256 157.482194 \n",
+       "L 297.685619 156.809673 \n",
+       "L 299.849983 156.383318 \n",
+       "L 303.096528 156.049504 \n",
+       "L 308.507438 155.8378 \n",
+       "L 327.98671 155.387651 \n",
+       "L 352.876892 155.376876 \n",
+       "L 399.41071 155.374128 \n",
+       "L 399.41071 155.374128 \n",
+       "\" clip-path=\"url(#pdc7274dfcd)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"line2d_16\">\n",
-       "    <path d=\"M 81.118665 155.374125 \n",
-       "L 177.432847 155.310209 \n",
-       "L 182.843756 154.897639 \n",
-       "L 187.172483 154.581978 \n",
-       "L 189.336847 154.579861 \n",
-       "L 191.50121 154.781106 \n",
-       "L 193.665574 155.254012 \n",
-       "L 195.829937 156.040768 \n",
-       "L 197.994301 157.139868 \n",
-       "L 200.158665 158.494275 \n",
-       "L 205.569574 162.164036 \n",
-       "L 207.733938 163.341363 \n",
-       "L 209.898301 164.196612 \n",
-       "L 212.062665 164.768768 \n",
-       "L 215.30921 165.580997 \n",
-       "L 216.391392 166.036867 \n",
-       "L 217.473574 166.695131 \n",
-       "L 218.555756 167.631351 \n",
-       "L 219.637938 168.923508 \n",
-       "L 220.720119 170.648407 \n",
-       "L 221.802301 172.877683 \n",
-       "L 222.884483 175.673619 \n",
-       "L 223.966665 179.084958 \n",
-       "L 225.048847 183.142947 \n",
-       "L 226.131028 187.857839 \n",
-       "L 227.21321 193.216075 \n",
-       "L 229.377574 205.678754 \n",
-       "L 231.541937 219.900143 \n",
-       "L 235.870665 249.267578 \n",
-       "L 238.035028 261.705152 \n",
-       "L 239.11721 266.76554 \n",
-       "L 240.199392 270.859592 \n",
-       "L 241.281574 273.871228 \n",
-       "L 242.363756 275.713884 \n",
-       "L 243.445938 276.334125 \n",
-       "L 244.528119 275.713884 \n",
-       "L 245.610301 273.871228 \n",
-       "L 246.692483 270.859592 \n",
-       "L 247.774665 266.76554 \n",
-       "L 248.856847 261.705152 \n",
-       "L 249.939028 255.819233 \n",
-       "L 252.103392 242.222599 \n",
-       "L 257.514301 205.678754 \n",
-       "L 259.678665 193.216075 \n",
-       "L 260.760847 187.857839 \n",
-       "L 261.843028 183.142947 \n",
-       "L 262.92521 179.084958 \n",
-       "L 264.007392 175.673619 \n",
-       "L 265.089574 172.877683 \n",
-       "L 266.171756 170.648407 \n",
-       "L 267.253938 168.923508 \n",
-       "L 268.336119 167.631351 \n",
-       "L 269.418301 166.695131 \n",
-       "L 270.500483 166.036867 \n",
-       "L 271.582665 165.580997 \n",
-       "L 273.747028 165.004176 \n",
-       "L 276.993574 164.196612 \n",
-       "L 279.157938 163.341363 \n",
-       "L 281.322301 162.164036 \n",
-       "L 284.568847 159.991016 \n",
-       "L 287.815392 157.791004 \n",
-       "L 289.979756 156.553465 \n",
-       "L 292.144119 155.607048 \n",
-       "L 294.308483 154.980132 \n",
-       "L 296.472847 154.650404 \n",
-       "L 298.63721 154.560277 \n",
-       "L 301.883756 154.711127 \n",
-       "L 310.54121 155.36076 \n",
-       "L 315.952119 155.455142 \n",
-       "L 380.883028 155.374096 \n",
-       "L 405.77321 155.374125 \n",
-       "L 405.77321 155.374125 \n",
-       "\" clip-path=\"url(#pd4d9c94c16)\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "    <path d=\"M 74.756165 155.374121 \n",
+       "L 164.577256 155.48124 \n",
+       "L 169.988165 155.481865 \n",
+       "L 174.316892 155.220379 \n",
+       "L 181.892165 154.505168 \n",
+       "L 184.056528 154.592112 \n",
+       "L 186.220892 155.031277 \n",
+       "L 187.303074 155.42357 \n",
+       "L 188.385256 155.949454 \n",
+       "L 189.467437 156.61915 \n",
+       "L 190.549619 157.438913 \n",
+       "L 192.713983 159.52945 \n",
+       "L 194.878347 162.167725 \n",
+       "L 197.04271 165.21172 \n",
+       "L 202.453619 173.115755 \n",
+       "L 204.617983 175.808842 \n",
+       "L 206.782347 178.073892 \n",
+       "L 212.193256 183.094182 \n",
+       "L 213.275438 184.405126 \n",
+       "L 214.357619 185.982511 \n",
+       "L 215.439801 187.900935 \n",
+       "L 216.521983 190.229896 \n",
+       "L 217.604165 193.029321 \n",
+       "L 218.686347 196.345191 \n",
+       "L 219.768528 200.205492 \n",
+       "L 220.85071 204.616779 \n",
+       "L 223.015074 214.996699 \n",
+       "L 225.179437 227.036412 \n",
+       "L 229.508165 252.433613 \n",
+       "L 231.672528 263.365564 \n",
+       "L 232.75471 267.838797 \n",
+       "L 233.836892 271.467879 \n",
+       "L 234.919074 274.143018 \n",
+       "L 236.001256 275.782046 \n",
+       "L 237.083438 276.334125 \n",
+       "L 238.165619 275.782046 \n",
+       "L 239.247801 274.143018 \n",
+       "L 240.329983 271.467879 \n",
+       "L 241.412165 267.838797 \n",
+       "L 242.494347 263.365564 \n",
+       "L 243.576528 258.180697 \n",
+       "L 245.740892 246.284172 \n",
+       "L 251.151801 214.996699 \n",
+       "L 253.316165 204.616779 \n",
+       "L 254.398347 200.205492 \n",
+       "L 255.480528 196.345191 \n",
+       "L 256.56271 193.029321 \n",
+       "L 257.644892 190.229896 \n",
+       "L 258.727074 187.900935 \n",
+       "L 259.809256 185.982511 \n",
+       "L 260.891437 184.405126 \n",
+       "L 261.973619 183.094182 \n",
+       "L 264.137983 180.973205 \n",
+       "L 267.384528 178.073892 \n",
+       "L 269.548892 175.808842 \n",
+       "L 271.713256 173.115755 \n",
+       "L 273.877619 170.057227 \n",
+       "L 279.288528 162.167725 \n",
+       "L 281.452892 159.52945 \n",
+       "L 283.617256 157.438913 \n",
+       "L 284.699437 156.61915 \n",
+       "L 285.781619 155.949454 \n",
+       "L 286.863801 155.42357 \n",
+       "L 287.945983 155.031277 \n",
+       "L 290.110347 154.592112 \n",
+       "L 292.27471 154.505168 \n",
+       "L 295.521256 154.746859 \n",
+       "L 302.014347 155.386875 \n",
+       "L 306.343074 155.513167 \n",
+       "L 313.918347 155.39269 \n",
+       "L 322.575801 155.332756 \n",
+       "L 364.780892 155.374032 \n",
+       "L 399.41071 155.374121 \n",
+       "L 399.41071 155.374121 \n",
+       "\" clip-path=\"url(#pdc7274dfcd)\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"line2d_17\">\n",
-       "    <path d=\"M 81.118665 155.374123 \n",
-       "L 162.282301 155.270915 \n",
-       "L 178.515028 154.948188 \n",
-       "L 181.761574 154.522517 \n",
-       "L 183.925938 154.055416 \n",
-       "L 186.090301 153.418894 \n",
-       "L 188.254665 152.596438 \n",
-       "L 190.419028 151.579123 \n",
-       "L 192.583392 150.370052 \n",
-       "L 195.829937 148.242723 \n",
-       "L 201.240847 144.243713 \n",
-       "L 205.569574 141.15436 \n",
-       "L 209.898301 138.147469 \n",
-       "L 212.062665 136.230343 \n",
-       "L 213.144847 135.008096 \n",
-       "L 214.227028 133.535034 \n",
-       "L 215.30921 131.75822 \n",
-       "L 216.391392 129.633659 \n",
-       "L 217.473574 127.130088 \n",
-       "L 218.555756 124.230718 \n",
-       "L 219.637938 120.93309 \n",
-       "L 221.802301 113.1963 \n",
-       "L 223.966665 104.127309 \n",
-       "L 226.131028 94.061656 \n",
-       "L 233.706301 57.635019 \n",
-       "L 235.870665 49.010185 \n",
-       "L 236.952847 45.306476 \n",
-       "L 238.035028 42.078975 \n",
-       "L 239.11721 39.373068 \n",
-       "L 240.199392 37.227158 \n",
-       "L 241.281574 35.671923 \n",
-       "L 242.363756 34.729715 \n",
-       "L 243.445938 34.414125 \n",
-       "L 244.528119 34.729715 \n",
-       "L 245.610301 35.671923 \n",
-       "L 246.692483 37.227158 \n",
-       "L 247.774665 39.373068 \n",
-       "L 248.856847 42.078975 \n",
-       "L 249.939028 45.306476 \n",
-       "L 251.02121 49.010185 \n",
-       "L 253.185574 57.635019 \n",
-       "L 255.349938 67.485709 \n",
-       "L 264.007392 108.809861 \n",
-       "L 266.171756 117.247725 \n",
-       "L 268.336119 124.230718 \n",
-       "L 269.418301 127.130088 \n",
-       "L 270.500483 129.633659 \n",
-       "L 271.582665 131.75822 \n",
-       "L 272.664847 133.535034 \n",
-       "L 273.747028 135.008096 \n",
-       "L 274.82921 136.230343 \n",
-       "L 276.993574 138.147469 \n",
-       "L 280.240119 140.424168 \n",
-       "L 284.568847 143.444319 \n",
-       "L 292.144119 148.987973 \n",
-       "L 295.390665 150.997785 \n",
-       "L 297.555028 152.112274 \n",
-       "L 299.719392 153.031698 \n",
-       "L 301.883756 153.759487 \n",
-       "L 304.048119 154.308945 \n",
-       "L 307.294665 154.839688 \n",
-       "L 310.54121 155.07993 \n",
-       "L 317.034301 155.17268 \n",
-       "L 345.171028 155.370734 \n",
-       "L 405.77321 155.374123 \n",
-       "L 405.77321 155.374123 \n",
-       "\" clip-path=\"url(#pd4d9c94c16)\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "    <path d=\"M 74.756165 155.37412 \n",
+       "L 152.673256 155.26981 \n",
+       "L 164.577256 154.927425 \n",
+       "L 172.152528 154.616947 \n",
+       "L 174.316892 154.353288 \n",
+       "L 176.481256 153.889081 \n",
+       "L 178.645619 153.174712 \n",
+       "L 180.809983 152.174076 \n",
+       "L 182.974347 150.858789 \n",
+       "L 185.13871 149.211127 \n",
+       "L 187.303074 147.230011 \n",
+       "L 189.467437 144.936781 \n",
+       "L 192.713983 141.023821 \n",
+       "L 201.371438 130.017963 \n",
+       "L 204.617983 126.502205 \n",
+       "L 207.864528 123.106107 \n",
+       "L 210.028892 120.411032 \n",
+       "L 211.111074 118.765443 \n",
+       "L 212.193256 116.840204 \n",
+       "L 213.275438 114.581869 \n",
+       "L 214.357619 111.94946 \n",
+       "L 215.439801 108.918574 \n",
+       "L 216.521983 105.483462 \n",
+       "L 218.686347 97.469275 \n",
+       "L 220.85071 88.199724 \n",
+       "L 228.425983 53.615592 \n",
+       "L 230.590347 45.645418 \n",
+       "L 231.672528 42.334055 \n",
+       "L 232.75471 39.546757 \n",
+       "L 233.836892 37.329467 \n",
+       "L 234.919074 35.718866 \n",
+       "L 236.001256 34.741672 \n",
+       "L 237.083438 34.414125 \n",
+       "L 238.165619 34.741672 \n",
+       "L 239.247801 35.718866 \n",
+       "L 240.329983 37.329467 \n",
+       "L 241.412165 39.546757 \n",
+       "L 242.494347 42.334055 \n",
+       "L 243.576528 45.645418 \n",
+       "L 244.65871 49.426503 \n",
+       "L 246.823074 58.144725 \n",
+       "L 250.069619 73.025956 \n",
+       "L 253.316165 88.199724 \n",
+       "L 255.480528 97.469275 \n",
+       "L 257.644892 105.483462 \n",
+       "L 258.727074 108.918574 \n",
+       "L 259.809256 111.94946 \n",
+       "L 260.891437 114.581869 \n",
+       "L 261.973619 116.840204 \n",
+       "L 263.055801 118.765443 \n",
+       "L 264.137983 120.411032 \n",
+       "L 266.302347 123.106107 \n",
+       "L 274.959801 132.613167 \n",
+       "L 279.288528 138.218347 \n",
+       "L 282.535074 142.379235 \n",
+       "L 284.699437 144.936781 \n",
+       "L 286.863801 147.230011 \n",
+       "L 289.028165 149.211127 \n",
+       "L 291.192528 150.858789 \n",
+       "L 293.356892 152.174076 \n",
+       "L 295.521256 153.174712 \n",
+       "L 297.685619 153.889081 \n",
+       "L 299.849983 154.353288 \n",
+       "L 302.014347 154.616947 \n",
+       "L 306.343074 154.828647 \n",
+       "L 326.904528 155.344352 \n",
+       "L 342.055074 155.366067 \n",
+       "L 399.41071 155.37412 \n",
+       "L 399.41071 155.37412 \n",
+       "\" clip-path=\"url(#pdc7274dfcd)\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_3\">\n",
-       "    <path d=\"M 64.885937 288.430125 \n",
-       "L 64.885937 22.318125 \n",
+       "    <path d=\"M 58.523438 288.430125 \n",
+       "L 58.523438 22.318125 \n",
        "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_4\">\n",
-       "    <path d=\"M 422.005938 288.430125 \n",
-       "L 422.005938 22.318125 \n",
+       "    <path d=\"M 415.643438 288.430125 \n",
+       "L 415.643438 22.318125 \n",
        "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_5\">\n",
-       "    <path d=\"M 64.885938 288.430125 \n",
-       "L 422.005938 288.430125 \n",
+       "    <path d=\"M 58.523438 288.430125 \n",
+       "L 415.643438 288.430125 \n",
        "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_6\">\n",
-       "    <path d=\"M 64.885938 22.318125 \n",
-       "L 422.005938 22.318125 \n",
+       "    <path d=\"M 58.523438 22.318125 \n",
+       "L 415.643438 22.318125 \n",
        "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"text_17\">\n",
        "    <!-- a beam / down-converted beam -->\n",
-       "    <g transform=\"translate(147.385938 16.318125) scale(0.12 -0.12)\">\n",
+       "    <g transform=\"translate(141.023438 16.318125) scale(0.12 -0.12)\">\n",
        "     <defs>\n",
        "      <path id=\"DejaVuSans-61\" d=\"M 2194 1759 \n",
        "Q 1497 1759 1228 1600 \n",
@@ -2432,27 +2480,27 @@
        "   </g>\n",
        "   <g id=\"legend_1\">\n",
        "    <g id=\"patch_7\">\n",
-       "     <path d=\"M 364.6075 74.3525 \n",
-       "L 415.005938 74.3525 \n",
-       "Q 417.005938 74.3525 417.005938 72.3525 \n",
-       "L 417.005938 29.318125 \n",
-       "Q 417.005938 27.318125 415.005938 27.318125 \n",
-       "L 364.6075 27.318125 \n",
-       "Q 362.6075 27.318125 362.6075 29.318125 \n",
-       "L 362.6075 72.3525 \n",
-       "Q 362.6075 74.3525 364.6075 74.3525 \n",
+       "     <path d=\"M 358.245 74.3525 \n",
+       "L 408.643438 74.3525 \n",
+       "Q 410.643438 74.3525 410.643438 72.3525 \n",
+       "L 410.643438 29.318125 \n",
+       "Q 410.643438 27.318125 408.643438 27.318125 \n",
+       "L 358.245 27.318125 \n",
+       "Q 356.245 27.318125 356.245 29.318125 \n",
+       "L 356.245 72.3525 \n",
+       "Q 356.245 74.3525 358.245 74.3525 \n",
        "z\n",
        "\" style=\"fill: #ffffff; opacity: 0.8; stroke: #cccccc; stroke-linejoin: miter\"/>\n",
        "    </g>\n",
        "    <g id=\"line2d_18\">\n",
-       "     <path d=\"M 366.6075 35.416562 \n",
-       "L 376.6075 35.416562 \n",
-       "L 386.6075 35.416562 \n",
+       "     <path d=\"M 360.245 35.416562 \n",
+       "L 370.245 35.416562 \n",
+       "L 380.245 35.416562 \n",
        "\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "    </g>\n",
        "    <g id=\"text_18\">\n",
        "     <!-- Re -->\n",
-       "     <g transform=\"translate(394.6075 38.916562) scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(388.245 38.916562) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
        "       <path id=\"DejaVuSans-52\" d=\"M 2841 2188 \n",
        "Q 3044 2119 3236 1894 \n",
@@ -2488,14 +2536,14 @@
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"line2d_19\">\n",
-       "     <path d=\"M 366.6075 50.094688 \n",
-       "L 376.6075 50.094688 \n",
-       "L 386.6075 50.094688 \n",
+       "     <path d=\"M 360.245 50.094688 \n",
+       "L 370.245 50.094688 \n",
+       "L 380.245 50.094688 \n",
        "\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "    </g>\n",
        "    <g id=\"text_19\">\n",
        "     <!-- Im -->\n",
-       "     <g transform=\"translate(394.6075 53.594688) scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(388.245 53.594688) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
        "       <path id=\"DejaVuSans-49\" d=\"M 628 4666 \n",
        "L 1259 4666 \n",
@@ -2510,14 +2558,14 @@
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"line2d_20\">\n",
-       "     <path d=\"M 366.6075 64.772812 \n",
-       "L 376.6075 64.772812 \n",
-       "L 386.6075 64.772812 \n",
+       "     <path d=\"M 360.245 64.772812 \n",
+       "L 370.245 64.772812 \n",
+       "L 380.245 64.772812 \n",
        "\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "    </g>\n",
        "    <g id=\"text_20\">\n",
        "     <!-- Abs -->\n",
-       "     <g transform=\"translate(394.6075 68.272812) scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(388.245 68.272812) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
        "       <path id=\"DejaVuSans-73\" d=\"M 2834 3397 \n",
        "L 2834 2853 \n",
@@ -2560,8 +2608,8 @@
        "  </g>\n",
        " </g>\n",
        " <defs>\n",
-       "  <clipPath id=\"pd4d9c94c16\">\n",
-       "   <rect x=\"64.885937\" y=\"22.318125\" width=\"357.12\" height=\"266.112\"/>\n",
+       "  <clipPath id=\"pdc7274dfcd\">\n",
+       "   <rect x=\"58.523438\" y=\"22.318125\" width=\"357.12\" height=\"266.112\"/>\n",
        "  </clipPath>\n",
        " </defs>\n",
        "</svg>\n"
@@ -2586,7 +2634,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 28,
+   "execution_count": 104,
    "metadata": {},
    "outputs": [
     {
@@ -2595,7 +2643,7 @@
        "Text(0.5, 1.0, 'c beam / non-converted beam')"
       ]
      },
-     "execution_count": 28,
+     "execution_count": 104,
      "metadata": {},
      "output_type": "execute_result"
     },
@@ -2605,12 +2653,12 @@
        "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
        "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
        "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
-       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"435.568437pt\" height=\"325.986375pt\" viewBox=\"0 0 435.568437 325.986375\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
+       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"422.843437pt\" height=\"325.986375pt\" viewBox=\"0 0 422.843437 325.986375\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
        " <metadata>\n",
        "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2024-08-11T12:57:50.743731</dc:date>\n",
+       "    <dc:date>2024-09-30T21:35:09.413459</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
@@ -2626,18 +2674,18 @@
        " <g id=\"figure_1\">\n",
        "  <g id=\"patch_1\">\n",
        "   <path d=\"M 0 325.986375 \n",
-       "L 435.568437 325.986375 \n",
-       "L 435.568437 0 \n",
+       "L 422.843437 325.986375 \n",
+       "L 422.843437 0 \n",
        "L 0 0 \n",
        "z\n",
        "\" style=\"fill: #ffffff\"/>\n",
        "  </g>\n",
        "  <g id=\"axes_1\">\n",
        "   <g id=\"patch_2\">\n",
-       "    <path d=\"M 71.248438 288.430125 \n",
-       "L 428.368438 288.430125 \n",
-       "L 428.368438 22.318125 \n",
-       "L 71.248438 22.318125 \n",
+       "    <path d=\"M 58.523438 288.430125 \n",
+       "L 415.643438 288.430125 \n",
+       "L 415.643438 22.318125 \n",
+       "L 58.523438 22.318125 \n",
        "z\n",
        "\" style=\"fill: #ffffff\"/>\n",
        "   </g>\n",
@@ -2645,17 +2693,17 @@
        "    <g id=\"xtick_1\">\n",
        "     <g id=\"line2d_1\">\n",
        "      <defs>\n",
-       "       <path id=\"m7cdb409b93\" d=\"M 0 0 \n",
+       "       <path id=\"m87da78d2d2\" d=\"M 0 0 \n",
        "L 0 3.5 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m7cdb409b93\" x=\"87.481165\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m87da78d2d2\" x=\"74.756165\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_1\">\n",
        "      <!-- −10.0 -->\n",
-       "      <g transform=\"translate(72.158509 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(59.433509 303.028562) scale(0.1 -0.1)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-2212\" d=\"M 678 2272 \n",
        "L 4684 2272 \n",
@@ -2718,12 +2766,12 @@
        "    <g id=\"xtick_2\">\n",
        "     <g id=\"line2d_2\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m7cdb409b93\" x=\"128.062983\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m87da78d2d2\" x=\"115.337983\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_2\">\n",
        "      <!-- −7.5 -->\n",
-       "      <g transform=\"translate(115.921577 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(103.196577 303.028562) scale(0.1 -0.1)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-37\" d=\"M 525 4666 \n",
        "L 3525 4666 \n",
@@ -2771,12 +2819,12 @@
        "    <g id=\"xtick_3\">\n",
        "     <g id=\"line2d_3\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m7cdb409b93\" x=\"168.644801\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m87da78d2d2\" x=\"155.919801\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_3\">\n",
        "      <!-- −5.0 -->\n",
-       "      <g transform=\"translate(156.503395 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(143.778395 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-35\" x=\"83.789062\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
@@ -2787,12 +2835,12 @@
        "    <g id=\"xtick_4\">\n",
        "     <g id=\"line2d_4\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m7cdb409b93\" x=\"209.226619\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m87da78d2d2\" x=\"196.501619\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_4\">\n",
        "      <!-- −2.5 -->\n",
-       "      <g transform=\"translate(197.085213 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(184.360213 303.028562) scale(0.1 -0.1)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-32\" d=\"M 1228 531 \n",
        "L 3431 531 \n",
@@ -2829,12 +2877,12 @@
        "    <g id=\"xtick_5\">\n",
        "     <g id=\"line2d_5\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m7cdb409b93\" x=\"249.808438\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m87da78d2d2\" x=\"237.083438\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_5\">\n",
        "      <!-- 0.0 -->\n",
-       "      <g transform=\"translate(241.856875 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(229.131875 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
@@ -2844,12 +2892,12 @@
        "    <g id=\"xtick_6\">\n",
        "     <g id=\"line2d_6\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m7cdb409b93\" x=\"290.390256\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m87da78d2d2\" x=\"277.665256\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_6\">\n",
        "      <!-- 2.5 -->\n",
-       "      <g transform=\"translate(282.438693 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(269.713693 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n",
@@ -2859,12 +2907,12 @@
        "    <g id=\"xtick_7\">\n",
        "     <g id=\"line2d_7\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m7cdb409b93\" x=\"330.972074\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m87da78d2d2\" x=\"318.247074\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_7\">\n",
        "      <!-- 5.0 -->\n",
-       "      <g transform=\"translate(323.020511 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(310.295511 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-35\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
@@ -2874,12 +2922,12 @@
        "    <g id=\"xtick_8\">\n",
        "     <g id=\"line2d_8\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m7cdb409b93\" x=\"371.553892\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m87da78d2d2\" x=\"358.828892\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_8\">\n",
        "      <!-- 7.5 -->\n",
-       "      <g transform=\"translate(363.60233 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(350.87733 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-37\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n",
@@ -2889,12 +2937,12 @@
        "    <g id=\"xtick_9\">\n",
        "     <g id=\"line2d_9\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m7cdb409b93\" x=\"412.13571\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m87da78d2d2\" x=\"399.41071\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_9\">\n",
        "      <!-- 10.0 -->\n",
-       "      <g transform=\"translate(401.002898 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(388.277898 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"127.246094\"/>\n",
@@ -2904,7 +2952,7 @@
        "    </g>\n",
        "    <g id=\"text_10\">\n",
        "     <!-- $\\delta\\omega$ -->\n",
-       "     <g transform=\"translate(242.558438 316.706687) scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(229.833438 316.706687) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
        "       <path id=\"DejaVuSans-Oblique-3b4\" d=\"M 3472 4053 \n",
        "Q 3197 4272 2450 4272 \n",
@@ -2963,155 +3011,74 @@
        "    <g id=\"ytick_1\">\n",
        "     <g id=\"line2d_10\">\n",
        "      <defs>\n",
-       "       <path id=\"m206f925f1f\" d=\"M 0 0 \n",
+       "       <path id=\"m8456236156\" d=\"M 0 0 \n",
        "L -3.5 0 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m206f925f1f\" x=\"71.248438\" y=\"264.044542\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m8456236156\" x=\"58.523438\" y=\"237.266178\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_11\">\n",
-       "      <!-- −0.0050 -->\n",
-       "      <g transform=\"translate(20.878125 267.84376) scale(0.1 -0.1)\">\n",
+       "      <!-- −0.01 -->\n",
+       "      <g transform=\"translate(20.878125 241.065396) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"83.789062\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"179.199219\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"242.822266\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-35\" x=\"306.445312\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"370.068359\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-31\" x=\"242.822266\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"ytick_2\">\n",
        "     <g id=\"line2d_11\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m206f925f1f\" x=\"71.248438\" y=\"232.373364\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m8456236156\" x=\"58.523438\" y=\"179.66059\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_12\">\n",
-       "      <!-- −0.0025 -->\n",
-       "      <g transform=\"translate(20.878125 236.172582) scale(0.1 -0.1)\">\n",
-       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"83.789062\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"179.199219\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"242.822266\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-32\" x=\"306.445312\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-35\" x=\"370.068359\"/>\n",
+       "      <!-- 0.00 -->\n",
+       "      <g transform=\"translate(29.257813 183.459809) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"ytick_3\">\n",
        "     <g id=\"line2d_12\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m206f925f1f\" x=\"71.248438\" y=\"200.702185\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m8456236156\" x=\"58.523438\" y=\"122.055002\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_13\">\n",
-       "      <!-- 0.0000 -->\n",
-       "      <g transform=\"translate(29.257813 204.501404) scale(0.1 -0.1)\">\n",
+       "      <!-- 0.01 -->\n",
+       "      <g transform=\"translate(29.257813 125.854221) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"222.65625\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"286.279297\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-31\" x=\"159.033203\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"ytick_4\">\n",
        "     <g id=\"line2d_13\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m206f925f1f\" x=\"71.248438\" y=\"169.031007\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m8456236156\" x=\"58.523438\" y=\"64.449415\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_14\">\n",
-       "      <!-- 0.0025 -->\n",
-       "      <g transform=\"translate(29.257813 172.830226) scale(0.1 -0.1)\">\n",
+       "      <!-- 0.02 -->\n",
+       "      <g transform=\"translate(29.257813 68.248633) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-32\" x=\"222.65625\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-35\" x=\"286.279297\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-32\" x=\"159.033203\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"ytick_5\">\n",
-       "     <g id=\"line2d_14\">\n",
-       "      <g>\n",
-       "       <use xlink:href=\"#m206f925f1f\" x=\"71.248438\" y=\"137.359829\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
-       "      </g>\n",
-       "     </g>\n",
-       "     <g id=\"text_15\">\n",
-       "      <!-- 0.0050 -->\n",
-       "      <g transform=\"translate(29.257813 141.159048) scale(0.1 -0.1)\">\n",
-       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-35\" x=\"222.65625\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"286.279297\"/>\n",
-       "      </g>\n",
-       "     </g>\n",
-       "    </g>\n",
-       "    <g id=\"ytick_6\">\n",
-       "     <g id=\"line2d_15\">\n",
-       "      <g>\n",
-       "       <use xlink:href=\"#m206f925f1f\" x=\"71.248438\" y=\"105.688651\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
-       "      </g>\n",
-       "     </g>\n",
-       "     <g id=\"text_16\">\n",
-       "      <!-- 0.0075 -->\n",
-       "      <g transform=\"translate(29.257813 109.48787) scale(0.1 -0.1)\">\n",
-       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-37\" x=\"222.65625\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-35\" x=\"286.279297\"/>\n",
-       "      </g>\n",
-       "     </g>\n",
-       "    </g>\n",
-       "    <g id=\"ytick_7\">\n",
-       "     <g id=\"line2d_16\">\n",
-       "      <g>\n",
-       "       <use xlink:href=\"#m206f925f1f\" x=\"71.248438\" y=\"74.017473\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
-       "      </g>\n",
-       "     </g>\n",
-       "     <g id=\"text_17\">\n",
-       "      <!-- 0.0100 -->\n",
-       "      <g transform=\"translate(29.257813 77.816692) scale(0.1 -0.1)\">\n",
-       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-31\" x=\"159.033203\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"222.65625\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"286.279297\"/>\n",
-       "      </g>\n",
-       "     </g>\n",
-       "    </g>\n",
-       "    <g id=\"ytick_8\">\n",
-       "     <g id=\"line2d_17\">\n",
-       "      <g>\n",
-       "       <use xlink:href=\"#m206f925f1f\" x=\"71.248438\" y=\"42.346295\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
-       "      </g>\n",
-       "     </g>\n",
-       "     <g id=\"text_18\">\n",
-       "      <!-- 0.0125 -->\n",
-       "      <g transform=\"translate(29.257813 46.145514) scale(0.1 -0.1)\">\n",
-       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-31\" x=\"159.033203\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-32\" x=\"222.65625\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-35\" x=\"286.279297\"/>\n",
-       "      </g>\n",
-       "     </g>\n",
-       "    </g>\n",
-       "    <g id=\"text_19\">\n",
+       "    <g id=\"text_15\">\n",
        "     <!-- Amplitude -->\n",
        "     <g transform=\"translate(14.798438 180.996781) rotate(-90) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
@@ -3314,284 +3281,296 @@
        "     </g>\n",
        "    </g>\n",
        "   </g>\n",
-       "   <g id=\"line2d_18\">\n",
-       "    <path d=\"M 87.481165 200.702185 \n",
-       "L 175.137892 200.613295 \n",
-       "L 180.548801 200.338877 \n",
-       "L 184.877528 199.884423 \n",
-       "L 189.206256 199.196485 \n",
-       "L 192.452801 198.509629 \n",
-       "L 195.699347 197.585119 \n",
-       "L 197.86371 196.726221 \n",
-       "L 200.028074 195.533277 \n",
-       "L 201.110256 194.758243 \n",
-       "L 202.192438 193.8294 \n",
-       "L 203.274619 192.71713 \n",
-       "L 204.356801 191.389556 \n",
-       "L 205.438983 189.813246 \n",
-       "L 206.521165 187.954106 \n",
-       "L 207.603347 185.77845 \n",
-       "L 208.685528 183.254225 \n",
-       "L 209.76771 180.352361 \n",
-       "L 210.849892 177.048192 \n",
-       "L 211.932074 173.322907 \n",
-       "L 214.096438 164.571354 \n",
-       "L 216.260801 154.114604 \n",
-       "L 218.425165 142.136289 \n",
-       "L 221.67171 122.153817 \n",
-       "L 226.000438 94.823228 \n",
-       "L 228.164801 82.411407 \n",
-       "L 230.329165 71.69894 \n",
-       "L 231.411347 67.135287 \n",
-       "L 232.493528 63.156422 \n",
-       "L 233.57571 59.785094 \n",
-       "L 234.657892 57.027205 \n",
-       "L 235.740074 54.871558 \n",
-       "L 236.822256 53.290281 \n",
-       "L 237.904438 52.239946 \n",
-       "L 238.986619 51.663334 \n",
-       "L 240.068801 51.491807 \n",
-       "L 241.150983 51.648184 \n",
-       "L 242.233165 52.050003 \n",
-       "L 244.397528 53.254973 \n",
-       "L 246.561892 54.476577 \n",
-       "L 247.644074 54.931753 \n",
-       "L 248.726256 55.22225 \n",
-       "L 249.808438 55.322019 \n",
-       "L 250.890619 55.22225 \n",
-       "L 251.972801 54.931753 \n",
-       "L 253.054983 54.476577 \n",
-       "L 255.219347 53.254973 \n",
-       "L 257.38371 52.050003 \n",
-       "L 258.465892 51.648184 \n",
-       "L 259.548074 51.491807 \n",
-       "L 260.630256 51.663334 \n",
-       "L 261.712438 52.239946 \n",
-       "L 262.794619 53.290281 \n",
-       "L 263.876801 54.871558 \n",
-       "L 264.958983 57.027205 \n",
-       "L 266.041165 59.785094 \n",
-       "L 267.123347 63.156422 \n",
-       "L 268.205528 67.135287 \n",
-       "L 269.28771 71.69894 \n",
-       "L 271.452074 82.411407 \n",
-       "L 273.616438 94.823228 \n",
-       "L 276.862983 115.227726 \n",
-       "L 280.109528 135.682903 \n",
-       "L 282.273892 148.297169 \n",
-       "L 284.438256 159.548809 \n",
-       "L 286.602619 169.164956 \n",
-       "L 288.766983 177.048192 \n",
-       "L 289.849165 180.352361 \n",
-       "L 290.931347 183.254225 \n",
-       "L 292.013528 185.77845 \n",
-       "L 293.09571 187.954106 \n",
-       "L 294.177892 189.813246 \n",
-       "L 295.260074 191.389556 \n",
-       "L 296.342256 192.71713 \n",
-       "L 297.424438 193.8294 \n",
-       "L 298.506619 194.758243 \n",
-       "L 300.670983 196.181351 \n",
-       "L 302.835347 197.188393 \n",
-       "L 304.99971 197.930523 \n",
-       "L 308.246256 198.75829 \n",
-       "L 312.574983 199.569924 \n",
-       "L 316.90371 200.140509 \n",
-       "L 321.232438 200.483047 \n",
-       "L 326.643347 200.656659 \n",
-       "L 337.465165 200.676604 \n",
-       "L 412.13571 200.702185 \n",
-       "L 412.13571 200.702185 \n",
-       "\" clip-path=\"url(#p30e9e20faa)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "   <g id=\"line2d_14\">\n",
+       "    <path d=\"M 74.756165 179.66059 \n",
+       "L 161.33071 179.564181 \n",
+       "L 165.659437 179.309606 \n",
+       "L 168.905983 178.903396 \n",
+       "L 172.152528 178.265888 \n",
+       "L 175.399074 177.399524 \n",
+       "L 179.727801 175.960279 \n",
+       "L 182.974347 174.695293 \n",
+       "L 185.13871 173.711294 \n",
+       "L 187.303074 172.511436 \n",
+       "L 189.467437 170.940521 \n",
+       "L 190.549619 169.950612 \n",
+       "L 191.631801 168.782834 \n",
+       "L 192.713983 167.40296 \n",
+       "L 193.796165 165.775519 \n",
+       "L 194.878347 163.865096 \n",
+       "L 195.960528 161.637843 \n",
+       "L 197.04271 159.063164 \n",
+       "L 198.124892 156.115525 \n",
+       "L 199.207074 152.776307 \n",
+       "L 200.289256 149.035618 \n",
+       "L 202.453619 140.363761 \n",
+       "L 204.617983 130.252819 \n",
+       "L 207.864528 113.25245 \n",
+       "L 211.111074 95.989037 \n",
+       "L 213.275438 85.688621 \n",
+       "L 214.357619 81.218837 \n",
+       "L 215.439801 77.331353 \n",
+       "L 216.521983 74.108109 \n",
+       "L 217.604165 71.614967 \n",
+       "L 218.686347 69.89848 \n",
+       "L 219.768528 68.983268 \n",
+       "L 220.85071 68.870131 \n",
+       "L 221.932892 69.535031 \n",
+       "L 223.015074 70.929028 \n",
+       "L 224.097256 72.97922 \n",
+       "L 225.179437 75.590687 \n",
+       "L 227.343801 82.025972 \n",
+       "L 230.590347 92.637596 \n",
+       "L 231.672528 95.853397 \n",
+       "L 232.75471 98.683232 \n",
+       "L 233.836892 101.012534 \n",
+       "L 234.919074 102.747059 \n",
+       "L 236.001256 103.816652 \n",
+       "L 237.083438 104.178055 \n",
+       "L 238.165619 103.816652 \n",
+       "L 239.247801 102.747059 \n",
+       "L 240.329983 101.012534 \n",
+       "L 241.412165 98.683232 \n",
+       "L 242.494347 95.853397 \n",
+       "L 244.65871 89.166189 \n",
+       "L 247.905256 78.649395 \n",
+       "L 248.987437 75.590687 \n",
+       "L 250.069619 72.97922 \n",
+       "L 251.151801 70.929028 \n",
+       "L 252.233983 69.535031 \n",
+       "L 253.316165 68.870131 \n",
+       "L 254.398347 68.983268 \n",
+       "L 255.480528 69.89848 \n",
+       "L 256.56271 71.614967 \n",
+       "L 257.644892 74.108109 \n",
+       "L 258.727074 77.331353 \n",
+       "L 259.809256 81.218837 \n",
+       "L 260.891437 85.688621 \n",
+       "L 263.055801 95.989037 \n",
+       "L 266.302347 113.25245 \n",
+       "L 269.548892 130.252819 \n",
+       "L 271.713256 140.363761 \n",
+       "L 273.877619 149.035618 \n",
+       "L 274.959801 152.776307 \n",
+       "L 276.041983 156.115525 \n",
+       "L 277.124165 159.063164 \n",
+       "L 278.206347 161.637843 \n",
+       "L 279.288528 163.865096 \n",
+       "L 280.37071 165.775519 \n",
+       "L 281.452892 167.40296 \n",
+       "L 282.535074 168.782834 \n",
+       "L 283.617256 169.950612 \n",
+       "L 285.781619 171.784506 \n",
+       "L 287.945983 173.146574 \n",
+       "L 290.110347 174.223009 \n",
+       "L 293.356892 175.558443 \n",
+       "L 297.685619 177.066515 \n",
+       "L 300.932165 178.001057 \n",
+       "L 304.17871 178.717456 \n",
+       "L 307.425256 179.19814 \n",
+       "L 310.671801 179.47044 \n",
+       "L 315.000528 179.610302 \n",
+       "L 325.822347 179.615888 \n",
+       "L 399.41071 179.66059 \n",
+       "L 399.41071 179.66059 \n",
+       "\" clip-path=\"url(#p9c9bd09de1)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "   </g>\n",
-       "   <g id=\"line2d_19\">\n",
-       "    <path d=\"M 87.481165 200.702184 \n",
-       "L 175.137892 200.796448 \n",
-       "L 184.877528 200.954655 \n",
-       "L 189.206256 200.806679 \n",
-       "L 196.781528 200.226332 \n",
-       "L 201.110256 200.024759 \n",
-       "L 206.521165 199.866248 \n",
-       "L 208.685528 199.51654 \n",
-       "L 209.76771 199.181161 \n",
-       "L 210.849892 198.693436 \n",
-       "L 211.932074 198.015702 \n",
-       "L 213.014256 197.108683 \n",
-       "L 214.096438 195.932912 \n",
-       "L 215.178619 194.450413 \n",
-       "L 216.260801 192.626592 \n",
-       "L 217.342983 190.43227 \n",
-       "L 218.425165 187.845801 \n",
-       "L 219.507347 184.85517 \n",
-       "L 220.589528 181.459973 \n",
-       "L 222.753892 173.522613 \n",
-       "L 224.918256 164.320999 \n",
-       "L 230.329165 139.939392 \n",
-       "L 231.411347 135.726449 \n",
-       "L 232.493528 132.039282 \n",
-       "L 233.57571 129.010384 \n",
-       "L 234.657892 126.765521 \n",
-       "L 235.740074 125.419199 \n",
-       "L 236.822256 125.070246 \n",
-       "L 237.904438 125.797697 \n",
-       "L 238.986619 127.657156 \n",
-       "L 240.068801 130.677811 \n",
-       "L 241.150983 134.86024 \n",
-       "L 242.233165 140.175143 \n",
-       "L 243.315347 146.563069 \n",
-       "L 244.397528 153.935181 \n",
-       "L 246.561892 171.141628 \n",
-       "L 249.808438 200.702185 \n",
-       "L 253.054983 230.262743 \n",
-       "L 255.219347 247.46919 \n",
-       "L 256.301528 254.841302 \n",
-       "L 257.38371 261.229228 \n",
-       "L 258.465892 266.544131 \n",
-       "L 259.548074 270.72656 \n",
-       "L 260.630256 273.747215 \n",
-       "L 261.712438 275.606674 \n",
-       "L 262.794619 276.334125 \n",
-       "L 263.876801 275.985172 \n",
-       "L 264.958983 274.63885 \n",
-       "L 266.041165 272.393987 \n",
-       "L 267.123347 269.365089 \n",
-       "L 268.205528 265.677922 \n",
-       "L 270.369892 256.861013 \n",
-       "L 276.862983 227.881758 \n",
-       "L 279.027347 219.944398 \n",
-       "L 280.109528 216.549201 \n",
-       "L 281.19171 213.55857 \n",
-       "L 282.273892 210.972101 \n",
-       "L 283.356074 208.777779 \n",
-       "L 284.438256 206.953958 \n",
-       "L 285.520438 205.471459 \n",
-       "L 286.602619 204.295688 \n",
-       "L 287.684801 203.388669 \n",
-       "L 288.766983 202.710935 \n",
-       "L 289.849165 202.22321 \n",
-       "L 290.931347 201.887831 \n",
-       "L 293.09571 201.538123 \n",
-       "L 296.342256 201.411196 \n",
-       "L 301.753165 201.249008 \n",
-       "L 314.739347 200.449716 \n",
-       "L 320.150256 200.498487 \n",
-       "L 334.218619 200.732801 \n",
-       "L 412.13571 200.702187 \n",
-       "L 412.13571 200.702187 \n",
-       "\" clip-path=\"url(#p30e9e20faa)\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "   <g id=\"line2d_15\">\n",
+       "    <path d=\"M 74.756165 179.660587 \n",
+       "L 160.248528 179.747782 \n",
+       "L 172.152528 180.164404 \n",
+       "L 175.399074 179.976573 \n",
+       "L 178.645619 179.498001 \n",
+       "L 181.892165 178.732467 \n",
+       "L 187.303074 177.116457 \n",
+       "L 194.878347 174.721283 \n",
+       "L 197.04271 173.611269 \n",
+       "L 198.124892 172.843754 \n",
+       "L 199.207074 171.877424 \n",
+       "L 200.289256 170.665158 \n",
+       "L 201.371438 169.158363 \n",
+       "L 202.453619 167.309027 \n",
+       "L 203.535801 165.072083 \n",
+       "L 204.617983 162.408024 \n",
+       "L 205.700165 159.285666 \n",
+       "L 206.782347 155.684948 \n",
+       "L 207.864528 151.599634 \n",
+       "L 210.028892 142.03382 \n",
+       "L 212.193256 130.897985 \n",
+       "L 217.604165 101.140182 \n",
+       "L 218.686347 95.968803 \n",
+       "L 219.768528 91.44046 \n",
+       "L 220.85071 87.724052 \n",
+       "L 221.932892 84.980949 \n",
+       "L 223.015074 83.359069 \n",
+       "L 224.097256 82.987055 \n",
+       "L 225.179437 83.968826 \n",
+       "L 226.261619 86.378712 \n",
+       "L 227.343801 90.257424 \n",
+       "L 228.425983 95.609058 \n",
+       "L 229.508165 102.399287 \n",
+       "L 230.590347 110.554871 \n",
+       "L 231.672528 119.964542 \n",
+       "L 233.836892 141.925869 \n",
+       "L 237.083438 179.66059 \n",
+       "L 240.329983 217.395311 \n",
+       "L 242.494347 239.356638 \n",
+       "L 243.576528 248.766309 \n",
+       "L 244.65871 256.921893 \n",
+       "L 245.740892 263.712122 \n",
+       "L 246.823074 269.063756 \n",
+       "L 247.905256 272.942468 \n",
+       "L 248.987437 275.352354 \n",
+       "L 250.069619 276.334125 \n",
+       "L 251.151801 275.962111 \n",
+       "L 252.233983 274.340231 \n",
+       "L 253.316165 271.597128 \n",
+       "L 254.398347 267.88072 \n",
+       "L 255.480528 263.352377 \n",
+       "L 257.644892 252.537224 \n",
+       "L 264.137983 217.28736 \n",
+       "L 266.302347 207.721546 \n",
+       "L 267.384528 203.636232 \n",
+       "L 268.46671 200.035514 \n",
+       "L 269.548892 196.913156 \n",
+       "L 270.631074 194.249097 \n",
+       "L 271.713256 192.012153 \n",
+       "L 272.795437 190.162817 \n",
+       "L 273.877619 188.656022 \n",
+       "L 274.959801 187.443756 \n",
+       "L 276.041983 186.477426 \n",
+       "L 277.124165 185.709911 \n",
+       "L 279.288528 184.599897 \n",
+       "L 281.452892 183.820194 \n",
+       "L 292.27471 180.588713 \n",
+       "L 295.521256 179.823179 \n",
+       "L 298.767801 179.344607 \n",
+       "L 302.014347 179.156776 \n",
+       "L 306.343074 179.224791 \n",
+       "L 319.329256 179.692116 \n",
+       "L 331.233256 179.676383 \n",
+       "L 371.273983 179.660515 \n",
+       "L 399.41071 179.660593 \n",
+       "L 399.41071 179.660593 \n",
+       "\" clip-path=\"url(#p9c9bd09de1)\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "   </g>\n",
-       "   <g id=\"line2d_20\">\n",
-       "    <path d=\"M 87.481165 200.702184 \n",
-       "L 174.05571 200.608354 \n",
-       "L 179.466619 200.352034 \n",
-       "L 183.795347 199.972127 \n",
-       "L 188.124074 199.380963 \n",
-       "L 191.370619 198.757868 \n",
-       "L 194.617165 197.913629 \n",
-       "L 196.781528 197.156318 \n",
-       "L 198.945892 196.141088 \n",
-       "L 201.110256 194.719765 \n",
-       "L 202.192438 193.794276 \n",
-       "L 203.274619 192.685715 \n",
-       "L 204.356801 191.361227 \n",
-       "L 205.438983 189.786531 \n",
-       "L 206.521165 187.926728 \n",
-       "L 207.603347 185.747108 \n",
-       "L 208.685528 183.213987 \n",
-       "L 209.76771 180.295596 \n",
-       "L 210.849892 176.963051 \n",
-       "L 211.932074 173.191422 \n",
-       "L 213.014256 168.960886 \n",
-       "L 215.178619 159.076652 \n",
-       "L 217.342983 147.300341 \n",
-       "L 219.507347 133.779581 \n",
-       "L 221.67171 118.847552 \n",
-       "L 229.246983 64.674941 \n",
-       "L 231.411347 52.169486 \n",
-       "L 232.493528 46.970499 \n",
-       "L 233.57571 42.596711 \n",
-       "L 234.657892 39.118986 \n",
-       "L 235.740074 36.586068 \n",
-       "L 236.822256 35.020382 \n",
-       "L 237.904438 34.414125 \n",
-       "L 238.986619 34.725815 \n",
-       "L 240.068801 35.877582 \n",
-       "L 241.150983 37.753552 \n",
-       "L 242.233165 40.199867 \n",
-       "L 246.561892 51.518557 \n",
-       "L 247.644074 53.562113 \n",
-       "L 248.726256 54.871195 \n",
-       "L 249.808438 55.322019 \n",
-       "L 250.890619 54.871195 \n",
-       "L 251.972801 53.562113 \n",
-       "L 253.054983 51.518557 \n",
-       "L 254.137165 48.927503 \n",
-       "L 257.38371 40.199867 \n",
-       "L 258.465892 37.753552 \n",
-       "L 259.548074 35.877582 \n",
-       "L 260.630256 34.725815 \n",
-       "L 261.712438 34.414125 \n",
-       "L 262.794619 35.020382 \n",
-       "L 263.876801 36.586068 \n",
-       "L 264.958983 39.118986 \n",
-       "L 266.041165 42.596711 \n",
-       "L 267.123347 46.970499 \n",
-       "L 268.205528 52.169486 \n",
-       "L 269.28771 58.105011 \n",
-       "L 271.452074 71.767895 \n",
-       "L 274.698619 95.014405 \n",
-       "L 279.027347 126.461447 \n",
-       "L 281.19171 140.741775 \n",
-       "L 283.356074 153.419864 \n",
-       "L 285.520438 164.257941 \n",
-       "L 287.684801 173.191422 \n",
-       "L 288.766983 176.963051 \n",
-       "L 289.849165 180.295596 \n",
-       "L 290.931347 183.213987 \n",
-       "L 292.013528 185.747108 \n",
-       "L 293.09571 187.926728 \n",
-       "L 294.177892 189.786531 \n",
-       "L 295.260074 191.361227 \n",
-       "L 296.342256 192.685715 \n",
-       "L 297.424438 193.794276 \n",
-       "L 298.506619 194.719765 \n",
-       "L 300.670983 196.141088 \n",
-       "L 302.835347 197.156318 \n",
-       "L 304.99971 197.913629 \n",
-       "L 308.246256 198.757868 \n",
-       "L 311.492801 199.380963 \n",
-       "L 315.821528 199.972127 \n",
-       "L 320.150256 200.352034 \n",
-       "L 325.561165 200.608354 \n",
-       "L 332.054256 200.672715 \n",
-       "L 352.61571 200.692901 \n",
-       "L 412.13571 200.702184 \n",
-       "L 412.13571 200.702184 \n",
-       "\" clip-path=\"url(#p30e9e20faa)\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "   <g id=\"line2d_16\">\n",
+       "    <path d=\"M 74.756165 179.660587 \n",
+       "L 160.248528 179.549664 \n",
+       "L 164.577256 179.277396 \n",
+       "L 168.905983 178.766622 \n",
+       "L 172.152528 178.17768 \n",
+       "L 175.399074 177.377551 \n",
+       "L 178.645619 176.341614 \n",
+       "L 181.892165 175.043903 \n",
+       "L 184.056528 174.005971 \n",
+       "L 186.220892 172.780904 \n",
+       "L 188.385256 171.27779 \n",
+       "L 190.549619 169.336631 \n",
+       "L 191.631801 168.129431 \n",
+       "L 192.713983 166.71641 \n",
+       "L 193.796165 165.05739 \n",
+       "L 194.878347 163.110836 \n",
+       "L 195.960528 160.835696 \n",
+       "L 197.04271 158.193213 \n",
+       "L 198.124892 155.148566 \n",
+       "L 199.207074 151.672337 \n",
+       "L 200.289256 147.741839 \n",
+       "L 201.371438 143.342354 \n",
+       "L 203.535801 133.124562 \n",
+       "L 205.700165 121.105025 \n",
+       "L 207.864528 107.56719 \n",
+       "L 215.439801 57.388153 \n",
+       "L 216.521983 51.393954 \n",
+       "L 217.604165 46.096706 \n",
+       "L 218.686347 41.631477 \n",
+       "L 219.768528 38.12522 \n",
+       "L 220.85071 35.692354 \n",
+       "L 221.932892 34.430176 \n",
+       "L 223.015074 34.414125 \n",
+       "L 224.097256 35.69293 \n",
+       "L 225.179437 38.283582 \n",
+       "L 226.261619 42.16597 \n",
+       "L 227.343801 47.276888 \n",
+       "L 228.425983 53.502849 \n",
+       "L 230.590347 68.536327 \n",
+       "L 233.836892 92.428567 \n",
+       "L 234.919074 98.608416 \n",
+       "L 236.001256 102.725807 \n",
+       "L 237.083438 104.178055 \n",
+       "L 238.165619 102.725807 \n",
+       "L 239.247801 98.608416 \n",
+       "L 240.329983 92.428567 \n",
+       "L 242.494347 76.76616 \n",
+       "L 244.65871 60.670903 \n",
+       "L 245.740892 53.502849 \n",
+       "L 246.823074 47.276888 \n",
+       "L 247.905256 42.16597 \n",
+       "L 248.987437 38.283582 \n",
+       "L 250.069619 35.69293 \n",
+       "L 251.151801 34.414125 \n",
+       "L 252.233983 34.430176 \n",
+       "L 253.316165 35.692354 \n",
+       "L 254.398347 38.12522 \n",
+       "L 255.480528 41.631477 \n",
+       "L 256.56271 46.096706 \n",
+       "L 257.644892 51.393954 \n",
+       "L 259.809256 63.940279 \n",
+       "L 263.055801 85.572608 \n",
+       "L 266.302347 107.56719 \n",
+       "L 268.46671 121.105025 \n",
+       "L 270.631074 133.124562 \n",
+       "L 272.795437 143.342354 \n",
+       "L 273.877619 147.741839 \n",
+       "L 274.959801 151.672337 \n",
+       "L 276.041983 155.148566 \n",
+       "L 277.124165 158.193213 \n",
+       "L 278.206347 160.835696 \n",
+       "L 279.288528 163.110836 \n",
+       "L 280.37071 165.05739 \n",
+       "L 281.452892 166.71641 \n",
+       "L 282.535074 168.129431 \n",
+       "L 283.617256 169.336631 \n",
+       "L 285.781619 171.27779 \n",
+       "L 287.945983 172.780904 \n",
+       "L 290.110347 174.005971 \n",
+       "L 293.356892 175.507979 \n",
+       "L 296.603437 176.714491 \n",
+       "L 299.849983 177.66936 \n",
+       "L 303.096528 178.396062 \n",
+       "L 306.343074 178.921183 \n",
+       "L 310.671801 179.364705 \n",
+       "L 315.000528 179.58853 \n",
+       "L 319.329256 179.614623 \n",
+       "L 332.315438 179.626837 \n",
+       "L 369.109619 179.660111 \n",
+       "L 399.41071 179.660587 \n",
+       "L 399.41071 179.660587 \n",
+       "\" clip-path=\"url(#p9c9bd09de1)\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_3\">\n",
-       "    <path d=\"M 71.248438 288.430125 \n",
-       "L 71.248438 22.318125 \n",
+       "    <path d=\"M 58.523438 288.430125 \n",
+       "L 58.523438 22.318125 \n",
        "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_4\">\n",
-       "    <path d=\"M 428.368438 288.430125 \n",
-       "L 428.368438 22.318125 \n",
+       "    <path d=\"M 415.643438 288.430125 \n",
+       "L 415.643438 22.318125 \n",
        "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_5\">\n",
-       "    <path d=\"M 71.248438 288.430125 \n",
-       "L 428.368438 288.430125 \n",
+       "    <path d=\"M 58.523438 288.430125 \n",
+       "L 415.643438 288.430125 \n",
        "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_6\">\n",
-       "    <path d=\"M 71.248438 22.318125 \n",
-       "L 428.368438 22.318125 \n",
+       "    <path d=\"M 58.523438 22.318125 \n",
+       "L 415.643438 22.318125 \n",
        "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
        "   </g>\n",
-       "   <g id=\"text_20\">\n",
+       "   <g id=\"text_16\">\n",
        "    <!-- c beam / non-converted beam -->\n",
-       "    <g transform=\"translate(159.039688 16.318125) scale(0.12 -0.12)\">\n",
+       "    <g transform=\"translate(146.314687 16.318125) scale(0.12 -0.12)\">\n",
        "     <defs>\n",
        "      <path id=\"DejaVuSans-63\" d=\"M 3122 3366 \n",
        "L 3122 2828 \n",
@@ -3787,27 +3766,27 @@
        "   </g>\n",
        "   <g id=\"legend_1\">\n",
        "    <g id=\"patch_7\">\n",
-       "     <path d=\"M 370.97 74.3525 \n",
-       "L 421.368438 74.3525 \n",
-       "Q 423.368438 74.3525 423.368438 72.3525 \n",
-       "L 423.368438 29.318125 \n",
-       "Q 423.368438 27.318125 421.368438 27.318125 \n",
-       "L 370.97 27.318125 \n",
-       "Q 368.97 27.318125 368.97 29.318125 \n",
-       "L 368.97 72.3525 \n",
-       "Q 368.97 74.3525 370.97 74.3525 \n",
+       "     <path d=\"M 358.245 74.3525 \n",
+       "L 408.643438 74.3525 \n",
+       "Q 410.643438 74.3525 410.643438 72.3525 \n",
+       "L 410.643438 29.318125 \n",
+       "Q 410.643438 27.318125 408.643438 27.318125 \n",
+       "L 358.245 27.318125 \n",
+       "Q 356.245 27.318125 356.245 29.318125 \n",
+       "L 356.245 72.3525 \n",
+       "Q 356.245 74.3525 358.245 74.3525 \n",
        "z\n",
        "\" style=\"fill: #ffffff; opacity: 0.8; stroke: #cccccc; stroke-linejoin: miter\"/>\n",
        "    </g>\n",
-       "    <g id=\"line2d_21\">\n",
-       "     <path d=\"M 372.97 35.416562 \n",
-       "L 382.97 35.416562 \n",
-       "L 392.97 35.416562 \n",
+       "    <g id=\"line2d_17\">\n",
+       "     <path d=\"M 360.245 35.416562 \n",
+       "L 370.245 35.416562 \n",
+       "L 380.245 35.416562 \n",
        "\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "    </g>\n",
-       "    <g id=\"text_21\">\n",
+       "    <g id=\"text_17\">\n",
        "     <!-- Re -->\n",
-       "     <g transform=\"translate(400.97 38.916562) scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(388.245 38.916562) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
        "       <path id=\"DejaVuSans-52\" d=\"M 2841 2188 \n",
        "Q 3044 2119 3236 1894 \n",
@@ -3842,15 +3821,15 @@
        "      <use xlink:href=\"#DejaVuSans-65\" x=\"64.982422\"/>\n",
        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"line2d_22\">\n",
-       "     <path d=\"M 372.97 50.094688 \n",
-       "L 382.97 50.094688 \n",
-       "L 392.97 50.094688 \n",
+       "    <g id=\"line2d_18\">\n",
+       "     <path d=\"M 360.245 50.094688 \n",
+       "L 370.245 50.094688 \n",
+       "L 380.245 50.094688 \n",
        "\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "    </g>\n",
-       "    <g id=\"text_22\">\n",
+       "    <g id=\"text_18\">\n",
        "     <!-- Im -->\n",
-       "     <g transform=\"translate(400.97 53.594688) scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(388.245 53.594688) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
        "       <path id=\"DejaVuSans-49\" d=\"M 628 4666 \n",
        "L 1259 4666 \n",
@@ -3864,15 +3843,15 @@
        "      <use xlink:href=\"#DejaVuSans-6d\" x=\"29.492188\"/>\n",
        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"line2d_23\">\n",
-       "     <path d=\"M 372.97 64.772812 \n",
-       "L 382.97 64.772812 \n",
-       "L 392.97 64.772812 \n",
+       "    <g id=\"line2d_19\">\n",
+       "     <path d=\"M 360.245 64.772812 \n",
+       "L 370.245 64.772812 \n",
+       "L 380.245 64.772812 \n",
        "\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "    </g>\n",
-       "    <g id=\"text_23\">\n",
+       "    <g id=\"text_19\">\n",
        "     <!-- Abs -->\n",
-       "     <g transform=\"translate(400.97 68.272812) scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(388.245 68.272812) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
        "       <path id=\"DejaVuSans-73\" d=\"M 2834 3397 \n",
        "L 2834 2853 \n",
@@ -3915,8 +3894,8 @@
        "  </g>\n",
        " </g>\n",
        " <defs>\n",
-       "  <clipPath id=\"p30e9e20faa\">\n",
-       "   <rect x=\"71.248438\" y=\"22.318125\" width=\"357.12\" height=\"266.112\"/>\n",
+       "  <clipPath id=\"p9c9bd09de1\">\n",
+       "   <rect x=\"58.523438\" y=\"22.318125\" width=\"357.12\" height=\"266.112\"/>\n",
        "  </clipPath>\n",
        " </defs>\n",
        "</svg>\n"
@@ -3948,16 +3927,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 29,
+   "execution_count": 105,
    "metadata": {},
    "outputs": [],
    "source": [
-    "J = get_JCA(prop)"
+    "J = get_JCA(prop, dw)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 30,
+   "execution_count": 106,
    "metadata": {},
    "outputs": [
     {
@@ -3966,7 +3945,7 @@
        "Text(0, 0.5, '$\\\\delta\\\\omega_{out}$')"
       ]
      },
-     "execution_count": 30,
+     "execution_count": 106,
      "metadata": {},
      "output_type": "execute_result"
     },
@@ -3981,7 +3960,7 @@
        "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2024-08-11T12:57:51.030434</dc:date>\n",
+       "    <dc:date>2024-09-30T21:35:09.709296</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
@@ -4012,20 +3991,20 @@
        "z\n",
        "\" style=\"fill: #ffffff\"/>\n",
        "   </g>\n",
-       "   <g clip-path=\"url(#p00edeba22d)\">\n",
+       "   <g clip-path=\"url(#p0f8458b696)\">\n",
        "    <image xlink:href=\"data:image/png;base64,\n",
-       "iVBORw0KGgoAAAANSUhEUgAAAXIAAAFyCAYAAADoJFEJAAB0iElEQVR4nO29a5rjOK61u0DakVnVt/3N6QzhzH8K5+uu3VWZYYs4PwCQIEXJctwzAms/btuyJMvOXa8Ri7jQ/0P/LyMUCoW+oogO7pfm27lMtg1ItffQc1AieZwIRASk1PZJSbe1fcbjkUhP26594+pCoVDok+sWxCm12z37jOc1sI/QLwxmBkpZw392/Gpz2x4gD4VCX097EL8F7yPHbcEcABeeR/J1VwZsn+IgPjnGYH66/2pDoVDoF9YWxHfgTem2BcMGXUoCXaI+mmYGUNr7cAFKAieAShGLxe5XJ+d23YWrvSIvcUTkoVDoC+kOiFOiejt0ar9vtVyof0+WSJvLjpVSyjwqZxfJD8dHRB4Khb6GDkJ8Cu47rBZKAlsuPI/ONTLnkmTfMSpf2TKyT43CWaN6B/MAeSgU+vx6KsRHgN+Kzg3e8EC3c5TjMC8FnBKo6HtWmKOdy11fWCuhUOhz6ykQHxc8E00hTkRdGmDdz9IHKTXLhdK2zaIWSpfF4i0WYG2z2DYuAfJQKPQFdQvipgHgBu4R4NPt3i+39xhhDqyyUSrMu+cbMI+slVAo9Ok1i8bvgXg9jY+6b8S/pdT9uboqzW4Rq6U0EBOBC1eLpXnhXLNYmHlts9g1MgfIQ6HQF9KdEN8E+F4ees41UiaNrD3QpzC/4ZfLOdQzB4BU6vmAiMhDodBn1Y3KzSnEZ1H4FsD3InOzRnSfDuge5gT1uRvMgQXEBM65HucXQOV8dg3yIEAeCoW+hlzEfQjiM4AP8KaNHwv2+5VSo3QqpcE8Qxc7E8BLKxiCZLoQcY3kZ9G5bNfLuv3pQ6FQ6JNqLxKXJyuITxc1/c3t44+D/jjUplj6/uQbY3WVoG1hc9WTxYDOkukSEXkoFPp82rFV9io1p3aKe7zKSGkndfu3jBOLmGuErpF1jcwB8blJo/ENz1zO4SJzO5cqQB4KhT6/ZpWZW21hhwi6f21oKWvyYC9rqHdAdzCXbRBPfG8BVM9bYT5cZ4A8FAp9eR2G+MSKqfubsm+WlcUeUT+ciovOtWyfSpGFTWKAqRUIGcwXqAXTMlqAHugB8lAo9GVEY0TtgewBa/sPfnZ3TOeljxG/K/LxFkoqm9H5KqOlLoDK+WZWCyBAD5CHQqHQKFuUNHmI7wJ8tt2llijMURhE1GC+OnbZb7QFdECPrJVQKPT5tDdxZ9AqS8Wri9g3erGMWStDBks3bMKPcLP3TmmVzXKzNwvQtbSNiDwUCoU2slQAdOCVdMQbKYtOY4k+UFaReT3vlsWy0TVRLi0KgkKhUKhp5o2Pszi3Ml1mIGfe6LnSw7wugO755ROYg1KNzsNaCYVCn1N32Cu7Gn3xNBQEbbbJbcetMl8Gm6VaLGPRUC0YmtssZq8EyEOh0OfXzrDjTnv9U6a56C5tcXZz+6zsl1nU78/ZvfUGzIHoRx4KhT65hqh8d1bmEaVJJL4H/xnMZ/D2Ubket7nvBOYB8lAo9HFl9sSt2xEdjcrre7tFzi2NjbVm1zTJT6/n93nqs3O6fWkGdQBgDpCHQqEPqHsAfWv/mVe+BfUxp3vv/faej9vGfi2zXi1jtD822PL7Du8XIA+FQh9H9wL86PHOT+7slXFOZneMSw98zvXsPT8qv/A5OVekH4ZCoffXEcBtVVGafJQ9bQvLdXsdrXbrnK8t0tRCtOscKz6JSH5sxuO41OrPiMhDodD76hbEx4n2t/Ybc7+9LG3vuXqp1EbTUPHZtq+Lk1b9YogC5KFQ6B21B/EbAKdE3W3z2KnVUlqXwdFeKWUdAesxKx311F9COwuvAfJQKPQ+ugXx1aYdcG+9PoO5g3SF+UwO9G0yD29AfiNCf+nIXTV+vvDIQ6HQ22uzGnIO8CP7deJSj2Pf5wToBjfU8xReTa6vU+utdWwCUK13lodEtbR+F9qlvXf3Q2B9x/d+ULDhkzsFyEOh0NvqIMSndslM436Fu32tsZT0+G4LhLORaqtxaqPYoE5rmAPz4xzEu2uc6YlZMgHyUCj0dnoKxPfGqs3UjV1rUG8NqIC9+ZgV5po9sorKsQFzYNszZzdEuW6b7zuLvPeicVBMCAqFQu+toxAfAL7VOtardR1k2Lg0rnDfGXZs49pmFkumeWTeLsxdwATAPureAvSdi6gB8lAo9DaaVj/eD/EVwLdskFKmbWQ7q2UG86we+Mwvz2j56CPMZ7nrsE1tsVTf3F2nW1TtD5p/rokC5KFQ6H10BOIzgK9yqzci85wrDAlQIAM2EHnV69sNOybk+eKnwRus17aeoTlVGSyVEez20gjvg5F5gDwUCr2+Zg2juqe03j4ObxgbVNX9bmSwuIXIDugWfS/AYZgDMu0+UfPMWedrLuvP1YmHRU8fnfu0xqFdwCqanyhAHgqFXlc3vOxpeuEWxCdQv+WVswe9m8KDbP52bjAHWmoi0zqTZeaZA5qaSLerRjcg3l3f7PENBchDodDb6tbk+YMQ7wC+k8lCjod+pJq8JtE5MbX0REDyva0fyy2YAy6j5YZmHjnGbJadaJzN3++tmgB5KBR6N60slQMQnwJ8z9LIqACs8zGBfkZmziAsg2e+k2PuYQ700fl4batFzNJt7ywVU2SthEKhX0FTS8XLQ3yMwjd+ALYlC5xIBQTSSs60hjkxwAReltsFQwpzAH10bjKwj3ZLmUXc6za6u5kugwLkoVDo9XRjkbPb5qPxLYh7gNfHO8VDQANgJvW9HdBd6TutFkEV5ryAmQDifgEUqKmInBKw8ODXL9OvpLNRxqpPfb63wDnaKkCAPBQKfQSNloo8WUN8jMCJsJVv3pQdEIt62S5CLwDnDBCBmMFYJjAfslk0/dBH58CwsLonb50cgfiNRdQAeSgUenPt2ioDDFfjzpKbArTlrQ/yBUEgCBg1+q4wVyBTzhXmIM1gAXqYp0lGC7D2tseMme6i1pH5rfa5s2gcCJCHQqHXlJvKM5VvbjWJxmm0TUaIjwDfeC/b2gEdOzAn2sxm2fTNgXWu+2zRcqPop7dc1r44Rx55KBT6JTSzJmbT40eIb1V9elnJPnP1wjdhriX682yWOcwBB/QD1+J1N8QHqyVAHgqF3lerdrUuGp9ZKhsT5+vjzfdp9gcBWhCki59mpXjPHOiyWaYVoAZzrer0Zfp0I4VwXY4/t01uQRwIkIdCodfWLXsFN6ozvaWyBfEb1konP9gYZrdkrGBuPyhWNOQrQAeYy2X2ueS7vVe8dkB9BOJAgDwUCv2q2oL41kKqZ+AQnTP0x8bZLOAhzxwMSjS1WUCpVYIC8oNz75CIsdrzIMTBHDM7Q6HQG4jXvu+TZNH4Kj99LBSi/jZ7bTivDGwmTPPZ3T7k97XPxgU20LnOAT36WSf73gNxIIYvh0Khp2iE5J0aQbU5AWe0VbwsGp+Beut6R5jrOVZ56mPB0cyzH2EuH6z/fAbpvdvwvdwLcSCslVAodES7Hvbw2t5EeesQaMB0wxmepTT8qMyul7194nx788ztum2fBZqG6BptLQu6SUO2f7VZAPNw2Pnle3nze2mFRyAOBMhDodCWnhhtr6JUL7fwKZ7yE95jtDy23n+2fYR59zL1aYk0pCQuS7dPHUwxwtb/YAHVP79Le7bM5HsNayUUCq11D8QpzXuc7Fkv9/jHm++7YaGM778VqSf3+lb++njuruBn4pfX6x4nAh34vBt2y+Z5nSIiD4VCvW5B/FY/cVONSGkAW4tYNzsLehXWwQ3ueH+eI59hvIbxuW6r6YjW74r8E9vNovL18dPPWZ8/c6F3Z4ZnROShUEh0a/FyK/I+sv947luDhW/1476zX/fdGhpxrTJY3H7ULZJOIvM7hihPdeAcEZGHQqHbAJ9uvm2/cOF+YdNHrXt9S3LWSfaQWh07vj659ca3i5CeJGqpiauonNL6M/rrcccf0h0/AAHyUOira9OeWAN8Cu+tKJ1Lt3/L4ii7MJe+4SxRd84uswU6EALblaAe4OPjl5KrDDVJodCB9xjtnb3X71CAPBT6yjoI8RXAj1gsq3P4tDzXTdCqIzXaZm1Y1UXlSV+3qNxAXys04QYg7wC8+wF5IVkk7h/PovJRL3gN4ZGHQl9VT4H46JMnOnZz593ylGtFZGEpEFJYrwYtDK9XFd4H9fjavSmBMz03//2FFBF5KBRq8v3B96Lw4bXdplfA0AccLQdbNs4tFvIRN2v/E4KP3uXkzn+uGS43IuLioG4/CKw/EPaD8lwdicpfSAHyUOgrapqDvQHxDYD30+z3/7i3lq4e6KTT7aWoZj3smFlHqWl1JRUAxL1XDvQWi4f5lsor2CtwPrm3Wt5IAfJQ6KvpmRCfAvxWNkYWX7uCN+vQY4O2+d827BjaAzwBtEgeN6cEsoVPLIANQrZzdmPVbnwH3mYZo/F6jmb1PFlvFJUHyEOhr6SnQHwE+DjObNxWX2oT6qtqJootaMpwh9UUnrKAgTa13mAOSCRvMGfSKT5ofvmRAch+4LFBvL5WVvBlB/yVL/8BFCAPhUIA7oT48HzlkdtxVo5pwNNMlBHo8yk8bmq9g7mUyk9SEu29Z9WhY2RsMB5HrHmIPzcaf0MFyEOhr6xpj5QnQPxWeqL64QC0yMcBfZjCAybw4jxzD3ONnmtK4mCzAOijc7tOH4GbdNt0gdMBfNZid7rtHaEfIA+FvopW/Udut1mdQnyMwsfhyJspeVkAqVAnSNm+QdFgbguhM5gLwSER/AhzluvgBIn07fqWZZpX3qU1sovQZ954Wdst7URvu7A5U4A8FAo1uWh8C+IdwO2Y2VCHWRMtq9o0qPthx0QgZoAU3BOYA81CYSKAU/PMEwCU6SDkKYS74Q/z3HJeeeKTvPYPoAB5KPQVNYvGB0tFHrsWreOUnBHgs+M7ae53HcigeeHEko1i0bl1IfQwB6pnLo9bxM0AiLhG5PL+DehT8WCxeKjrNXYQf6N88KcqQB4KhZo251VuQHwC8G7C/SjmlnpoUbkH+rLIEAegh7mbgzlbAK155skBPBFaGD/pSmjagvi47ywaH0e7+fO8oQLkodAX1ioaX+0wad+6AfFuKPJeCmApsi9zP5EnAUAGcQEDNe+cF60EXTBfAHUwx6KRevXOVePlzMBb3OKnXud0kfQDWSqmAHkoFOpUo3EXxXbDiT3EfRTuoT+bymNQ1LRDQCs+icFMsijpFzvtcGDTM+9grrZMjc6xtL8gRptljJoPQHyVqfJBonEgQB4KhUwzb9tbKhOITwE+LoZWuZxyy+vWlrAEXfA0q2UR35tzrkfehLnljxeN6CvQTQr2SUTNY+S9BfHRhrml6LUSCoXeRH7h8+aYtw2IjwDf8snVI6+PHdS76NzezmyW2QJoLecHiAlMqS2CDkCvWjbAOi0Qug3xjxCNAwHyUCg0ysA8i8ZVU4h3GSwbIB+HPhD3WSM+OgckMr9lsxTtzTJOGbLP4vPIt7QHcOBpEH/DTJcAeSj0VeQHLjxVA9BlG62jcCLwTq9uGrmX6v80mFMCEotnTiyLmbXtbJIfAV/O70fGgeWvhnv6r7gFzSnEnd6zinOmAHkoFLotB+pVNC4bu8fswT5RLaf3QB9gLumD1LJZlgVMVOdlEnLfm8X3MwdqdC7vc8z22AT4ViQ+vOZOdOj9XkoB8lDoK8mici7NG/ePR90qvx/7rHiIz2wVPwRC0w+3YE6si52WzcJSyVkbbSX1xsd+5pqhQi4FkYeP59cCZn1TngXxd1CAPBT6FXWP57u3W+HNPiu77z2LxkeId33L7fGQNUIEJgYtvskVtECImsUC+bHpMlmsayKWvp85gFl07q9l3V538n0NkD4M8XeoAg2Qh0K/iu7xt/2+q/znSVR+6JyTfd0C5xTiQ7QuKYeWhuguKVEfmbvME0kZVL+cSQtBqXVN1Oi762furBa5dF/Qs/OZJ3Ce+uEfCOJAgDwU+vh69gLlUJBjj8fzWl9v6xV+9Lxb1zdtpOWuxed0m+9d3LGssLYK0NpLpYhXUhcyybWzRfvBUJgDcECnu+yQXwHiwP5ku1Ao9N66mded9m9756rZHryG00t1+JvYL932PT993HesJAW6bow0+vn+c7gqzFsZJ7bPrwJxICLyUOjjag/iRy2RsSzdLzgeFRfAPGjsROoe1ntFQXYN47X4qNwvikLAzZZNThp9p3VUvrJYgN5K0uPvTh/ci+I/QGfEiMhDoY+oLYhPIm1KtHtbHTv65z4q953/XrNR1HQhdFBqUXd97iL56QxRuMh89TlddH7EXrH9PjjEgYjIQ6GPpT2Ad0+P7SebhvQ5ywIBVguDNWWPpG9JHauW4UrqXaSLAZb3+vk70fnm80TVDrfKTcstR0k9eMfz+Gt8TurgBwG4KSLyUOijaAbBIQLfjrInnvhkn3r8GJ0Pkfm6idTYLdC1fh1BWcelHYCdtz+m1z7aMqm/39hn6peP1/gUPefYV1RE5KHQR9AWxLuntPna9lSeQUM63lbKHhGvo3Ldxqy2RhfdDtG51yxSv1ECf0iJWhMsN8B5db6tdYHBh7+pDwhwU4A8FHpvPQfiYyOrG6oVjg7oM5iDSYBddARbSjKOjanZK8UtnhKBNH2xqkD+5r8F0t0Lfm7WTLq9yDtaOC/13m+oAHko9NF0BOJbAL/RHIoAAbCNW5tlerCk3hEWqZxkB20flQMr35w0xbsCsXAzcGeQnKb4HbcvJJtl47VET8hO+XXg7RUgD4XeU1seMPYBPoX3EaBbsQ/LGLVmlUjVZMte0daw0H7fOYOXRQtqCFgU8gb4pQBZo/wCMDkg1iIffx0TX50Z5LeP+wArr37aJwVokbh//JTUy19EAfJQ6L30XIiPALehxXsWi1ZssvOHibkDeu0oOIW5tJiFNrOqzrgb3wYAtJR1B0TP4MkCKRXuoF5fm3Uu1FTJkChAHgq9h3YgPt0+m26/BfC9RVEA4AKy5lU5V6jXjoJde9i2+MmQND9530XgbbYKcxeVy/mw6jrYX0eDdQdxYJX1wmbh2GtP1SeNygPkodAH02qy/Q2IrwA+8dF7KYAzBOoF0lHQRecAdGq9wlxnY7YoPPd++aJg34P5KsvF9pmkMNq9H4I8HBdqCpCHQm+tI5bKLYj7KNznTI+NqjYi8jY3UxYwST3kGp3brgPM5ZRJ/HJ/ypx7mBM1z3zx6Yc3FjfHHHTmFo0/p4DHe+afUAHyUOiDaFWtuQPxLgr30+3lRDfSEhO6gcJU1kD3oGZ5Lp65njOn5o/bbgZzogZ0u66tqs8R4PZYo3Eet4+tBCxiL66I6QsqQB4KvadmEfPY5W8G8RHgLiKv4N7oRQK4NMQEgFMDZlkE6JDY2UffK5jbPu68rNdE9r7sfmC2rJ4R4HZtnaXiKkx9P5gtrbo57pTtfwIFyEOht9RGRsnKUsGdEB8BPk7w2bsWZk0jZMk0WRY5X6KapWLAlsn1zmbBAHMd/sCA+u3uWpZJVD6W6NeWAIOl4iNzk4vG27bPBeijCpCHQh9N07mYByA+A/hsuIOps1ckSiXNDzcgdhDHAZgztdTEnFvkD2iEvgFaB3C5m0B8tFS6j7I+70ebdP+aCpCHQu8lclNr3HPAReOzhdFbEPf9wP3xW9GwpQ8q0MXn5qmFwoAD7GwBNKOmJi5Ls1pII/2tvw5GgANriG8cU+WP29Mns1WAAHko9LE085F9NA6sIa6pgyuAk87RtGNm8jncBnQioDRLRQ4fFjeXZXMBFJy0ajQ1q+VmSiTWIB4hPi5wAscWOT9xtoopQB4KfTB10fjUUhkicbvl1APcR+TjgqOzHTi1YhyyLBY9nmgBF4mmCae5zeJgDmapAC0FlDPanE2D9Pqvjw60Yw8WV8E5g3jV8CPwlWwVIEAeCn0MHRndZnD2ELdofIR4/SEYQF6BjmnuNmvGSlewAxeZb8HcioZsoVN7s4BT7eMin5F1sPKCqcaofJxYNEB8ZcWM+gLROBAgD4XeVlv51BtaFfxQn8Uy2ikriLuonFd+uzwnb6sU9catqZbtCrTtLod8BfOSut4sKEVa4BZA5mySTPfZKlQy+SgcGKLv0r+2Os1ONP4J/XEgQB4KfVyN+d8+Gj8C8ZQavH1rWS9mMAgoWp5vTcRr21pqFZoAOOX22O5rv5Wyhrlmw7DZRJXHy9ov93bPJB3RP+eZBYMB4l8kGgcC5KHQ+4nLtqUyQrdrhOUXPW9APGE3KieXucIMEBKst3hLKeRu/1U2i8HVyvl910RrdauzNQ3oANp0n5nKzDffh/hXVoA8FHpJHakanNkru1BvtsosGuec1hDPDvIGdLu+4VIA1IicUeSxva471aM495554ZYvDsxb4JLkj9drXyxnccdi8t/hFsDte6sPb0Tjn9RWAQLkodDzNIPRXvGNf07UrIittLyt7bP38JG4QdyaY3VRuTsN6w9PYnAhUEqaQ54avL3NktR2sQETCnF2sO9gXnu4UA/0es07AzDqV+WhHhCfKUAeCj1FdyxY1v23YD6Tjz7zzjnHG1DtFB62M2H1w8BWBKTAZQZoQc3/lv1Tb7Po+De2YRJWzamv137mvOjnsB+rApTU9Sinsm2LrBYzN6yUrw5xIEAeCt2nWwAf7ZGxWRMwAXoPutpiduv9Z9knyXngo52CBvFV5kpWS6UwzFCRTMEERhHP3IYxJwIVWwCVToecpJyfSBY0iUiGU+jw5tYIa/iMdl23si7HDJR7If5FFCAPhY5qC+J7OeAzsPvofBKVV5vC5mvONLNcBng3jxwN4jPXB6TtuhXmZrPosavCI7NVqievz1mtk1LERiHNgpnB3L6bo4U7ewCfvN62f/5oHAiQh0LHNPXCJ+1hd0rQxcawY1xa3SxipVLHsBEXVH+ls1xcCf54rdVeQQ/x6Y8R9zAnctaKs1h4BHqSaJ5IF2LVbtHr7EfG9Z9TvqsBvnt/zfjvcL1x8pnwZSAOBMhDodtaWRlpeLr/etvsF+cc0CcwZ6aWGmh52qQ53i6Kp8K37YmJ1BJ3n09hDluEdTnd1CpJOamf3oG99VSRGRWDxVLMnmmfs/8O9DvcsUbuAjjwpSAOBMhDoX3tQHw66d40jcxde9jkYeZzptuwY5BO60lJo3IZAFHzsg9qjMYta6WDubtui8qrreLHs21ly9QS/KW1q10WidRTmcAc7XNTur83SkC8U4A8FNrSBsQ3AT7Aez1izS/u6SKhQY57mEMXC7uo3PqKWJ8Uf9v7GGZ/zPz4GcynJ6H+8ZiOaEpUC32ICIydk7sUTDngwI9TAHyqAHkoNNM9EN+aj7k3Yg0G9VybSrFr2cqaCVIn2ufcOhPqomKFOtDsl0L9fc2UsTcfruce9iXq/njwn5nt9UWf11RIAsokKjf5H5fnZJ18YYgDAfJQaF97E+6BfsQa0I9m25LmXxvUOaGHXS1z11PZ+XQEW7VXNMqmpdSIm5g7phFjFRPfgvddcK8HJckbN3sF6Ks4/X4zmNtnfIq+OMSBAHnoV9et//if8h85rYG9gvjWcGSgPp9ZK/2laXGNtmflZWnR+dY4NSvLhwO82SYuKieSroMAAK3+5664HkMapFgwfhAyjbC9x8dWiNuiZ/uhctCeFUjZa7cU8O4UIA/9WnpKRSVw/D/8yfk7iHuAA/04NhsCAbg+4Nu+L1VvWKNsjbqZaXs2ZkogasehaG+UhVZROS0MzurGwMPcTtbCdYM4MVbRMm0B96mitM6nf8nzf0EFyEO/hp76Z7c//hYgugW9A/M07ZgR4KN3vlmGb69rrrhlqCxL3yLWYJ5IonezWJYi71s0/c8vOlJuXnniDuby3pom6BZTq6XCLF643ds2v7AasP1QCpCHPraeC/DxXHcAaGanbEJ8BPhoz8zSEavNUGr6CHGpfbwF5kvzzXV4cbVYAKnAtKgcmmpYuForVAoYqcIc7H4/nM0yRuJ0BNrMx2Zm1pMO9op9h/Gj8GwFyEMfUy8J8Hvfz9shM4iPVko3T9M9Blp5+0w1Opb8cBQGygKiodXrIhE567bql9vr7j1oaXgmIrVWNJ1Riy6Jsb4mA3dxEO8eyz35NMju+NLf35LZK6EXUYA89LH01gBfvb+zVLYgfgPgFd4e+l1mCw3tWNWHLpJayIu0iaWkVktSK+VyncK8ZRbKf87EDD4BuALESRY9k7aStb8m0gBis92dhVKvqbRt01s9R0TW76UAeehj6K0APvtTfnjvLlf8CMRTngM8OwtmBHpGb10wi9fNDMoMLAmcMoiu3fEe5nZ8B3POwAmgKwTmMDgndW8W/Q4mEbndWyTuIV7KOho3T77w+jvdaU+7Utgrz1aAPPS+eirAb1UBPuXP9tFSuQXxnNp+yU3pMYi7/iRyzuHewZMKa78SrkUyREsttOl+XJZFOxXa65LJwlRazc/J2SzsbB62RloTcBrAgW2IDzdm7m0VP/U+9GYKkIfeT3enEt7RHcr2vRPoe90Lb0I8OZslJQH44GFvLXqygzjpsAeQLmCW9hiAWwQVmONycTbLqXnnUJvF/2VgP05jRA4MUfkGxN12u/buvvtcw3cfnvirKUAeenu9JsBnxx4ByIFofBPiOa+j8DyAHZDts8+enTe9FIF6ofrDQVeXraKHVJjXxlQuZZFT75kD8mORE7o+4jN5m2SE+FIaxNlF3i6Fkd3r8lJE52+hAHno7XQPwJ8D79m5nhINjpaKgzgZtHOWbbov1+2ybZxkPwN5nUzPXHt8S+l+qRC3a6gwTwm4XAAAfJV7STXUBU7bj7PYKElzxs3qKTT/93ALmGTg9pG4t1SsN4zrETNVLIK+ugLkobfRUYgfBPjNAQ6z896AObkFTF+5WS0VfX0G8W6SfdZMkezgnRs4V+uMQMvjPrF0D9RByJwTcF2k7W2yXPHUFkHtHNeLQJsZOJ1aMT6zs34YyEn6iQPtehJJ5F1PNi7CWkS+rCHODeZdNL6RX353u9rQIQXIQ6+rFwT4Hrxn+21C42iWxFitWT3yDYjX59Tuq9UyjFrz34uV1BsgEzRiLsBiI9cWOfQBAvhEwLX55vZ56wIoLCJnyX7JBtncfw7AGix21wOgj8K9neIhXriH+KiNgcnhl7+sAuSh19MRiN8A+FF47x3bGjXdYbFoFDuW3ne+uU83nEFc7w3gdfFz9ZFJGwJKmTwXlkn2pM2vCnpbBWgRd2HgfJbI2y+Ajp46y+i4assw9f8+k9x275VvQnwF6A2gh15VAfLQ6+iZED8E8NnxE1CTTr05KhoBN0bjHbjnEOdskbqm+2lUDsLcJ7fZmMzSBdYGE5NE3qACwmkN86J9Wk6nfgEUDfZUuA5xFhuH3V8b+tmWYeESWC9qziA+WeCU0/AqGufN6DzslucqQB56ed2C+FMBfsQ/9/s4YFSY34rKXc73NBrPuQKdE9XIXeCd60BkAbl442z7Wtafwd1fNpM2riKBemHwIsMliFBbfBPnHualgPHQZbPIsT3MpVJTCo5sWHJdANXPC92vfn1bALfvdgbx0RsPC+VNFCAPvZxeA+C34L3bjKqHeheZTys8J+81RuNjemGeQPyUKsg5aT/upI8JQtdxwZMBMOmMZQYtLEAndgut6ml72+RBYc2n3i8fKkCJCFxyi871LwDe+45roc8A9OJSC7cgPtgum9F46EUUIA+9jJ4I8bsAftQv9/sN/rjAXKPyEeZcILXzW+e1knyXYlitFgfxpIubdjOAJ9QqTx4+nnUmlMVJqeSkaxE7vQDVWK9l+c5mOXFNYZzCXOHdReddm4Eda2MEsK/c3IO4v449WytslRdRgDz0fL0kxO8A+N4EngoVO3a0VY4sfPqUQx+Nu+i8LWaqnZLI2SstIpfnaB75GJEn6EAI0iwSBk4JBdJzPKEAUN+8AMgsNgszqCSg5LpA6Xui8AKMwynALH9BqHUjC5831hvGKFzPI69NID764uP5Qi+qAHnoeXoCxJ8D8Fvj02b7MXPLyvA9sW1+5D3y/VJqXxVdyHTeeYW3g3i1WcyOdh+FGAJx1icWP58ScC1g1myXnGrOOSeATlkqLk8yMo5TBrIBvQjE9S+QDub6GTilBnTTmMEC9FG4bKjPD0F8pojGX0wB8tDTtQfV50Thwz5TeE8m1E9VSj2+2hllgPkYeebZNVIP8dQicSv6YUKLwrNCPPcQrxksQx5h5XeRxciWpdgi8wSIr80EcGpdDU9ZHrtCIOICLjbkeVlF5tVesWpP/50uA2B9OuEA9C2IrxSZKq+qAHnoaXoJiO8A/BC8j0TnOrEekAwPAN0wYAASsR5Vlz+OCnDMLJUR4h3Mh/Oy3GT8mmwoJ+pgzlxAmaSJViKJ1tVa4WJgF6jXhU09NQHql2tPFiYwJeeXp36YRb2uOdS7zJQJxHctlYD4iytAHrpPL2Gl3BOBe3iP7300KgcEQAp1KkWgayl/Gp2zPWZqVZY7a59yDajphLXwpy5sTiDuQG755JYCyOwWPTW2lqk+9thB3CyWxHqzEnyBOZbSLJace5hbZE68BvoN3QXw4bX6IUMvrgB56OX0TIgfAvgA76OeOXJuC3UO6GN0DqACnG3hkMo6zcSpFvgYxK2/ij5XJ8SBvF/sZCKAAQLr9ci5iDTLhXV4sqYwUibU2ZuZpFRfvXmylrc5yTzPrA20ShFgk0sLVP+cUgFKAoOPZQZtRNs3IR56NQXIQ8d1p52yC/E9G8UPNx63jfvf+qHwRUEFPdBtOLHCvPfKDfiaLQLUrJCp/OKqj7idJ76K2gE0UxvSKEthTuwgXo9jdw6W77eIpYOS5Jo76yfLXxykWSqsEbj/rB7m0O/hiAZIH4J4ROOvpgB56JjeAuKzKHwGcH/ujfM2OW9Eo1HScJd1oU9ysJcOYmwWjC4ISh8UsxJ2gNRdW4vI7XmL2vVULjiXHxSFue5jECdi2TEJxC3q92mRDeDqeWvHRPuTgHJu9pFb9ARKXSfo/jLZ+VFsmybfRUD8zRUgD93Wa0N8B+DT6NsNRV5d314lKGl0La0GpUeJAp309TbNnhvAC8tCYNKoV0vd/cDim5ii9WP2MGf3Gvf7kFozVFpUL1Wf7YfAoN7ZK9XiSRKVG+TLaLEIzAE4oNOuNXIY4PX8oddUgDy0r+dAfMMPn0bhw7ZV9L0FbxuAXC93/BEhB5I07R9io9V4WVx0Lv1KyM6RCKwTc6gweCnS53thsC4qQhdPp+mLg1bphxaZW+YKeAr/1WeD7a/fjQ2MqLdUy/HBOpwioVkscMMjqMH7rkyeAPi7K0Ae2tYdEH+WlbIVhVsJuT8H9dvqvmN0v3Ht3XBhVrAvC2zAMS+ad74s1UvnZZHPl7IcZ1G53lt/FPOgyax01sAXQBeys0XRbTvxsM/kmBeRpRnWwqgB5kAH9Jt9WLYUEH9TBchDcz0hT3z6+nMhfgTg1vukO9/O9RdN1zPfmwTgYkcUgTgAck2neCmgvABLkr8YUqlVkQ3sgPVLIYO4VWs6uFt0XavjB+aRg+D42k35wiX7HtjZK0CNyq2j4kq+ze1TMk8C4m+uAHnoPh0tuQfu8sOnVorr+NeNYPPn8gt8ds4R6qvrcouWtuBJi0To5Eaq2T6AwHpZdNpOqZE5lQIsSeZbJtLOhZCS/QpzIXYd52ZdB+EcE3ZRuYvm7bVun3rMwUVXr2E9YRWV+3MfTe08cj2hV1WAPLTW1n/A93jit6o0tyDurZRZFO4jcAO484R5BnT/fmPmCUsWB3KSVL0sYGYi0JXAl2sFPl+uIJLGWFQXF5MCPelkH0kLpAKd8qOFNgRhJaF68u3XQsUSjVOFOrdtFu0X/SuiLrQO3+tGB8JOvopz/DcZYT5+f6MC3h9CAfJQr9eC+J6VMkbhtt8YhY/tYz28x/Q7B/KtyfXyotgm1pKVlgJcdVGQEogEemyDh69X8dIBTRFv75eIUPQy+Qo5FoQEVu5Kyb00zhoWM4EacVPRmz6GevAN8KiQt89SK1H1M93Syl651Q0ygP2hFSAPNd3xp/SrQXwP4APE2wzM1MG7G3pc37O//rqWZ8VBBVIctEh0TjmJJ56TwNui81KAy7V9Hr0mSgmgRecmExIxkDzA22NYggihwdwtegrIud0v0OvTCH1hBTvXvxZWf2kcle8GaZ8poP3LKUAeEj0nQ8X0FhC3CfIe4EmsEGQH7wTd3l+bNKVqoOKi/bwXrpkodE3g1HqQ1+gcAC+Sa07LUnO36SL7o+5vH0Ui8BXME5q14r9Xv1DqIG7ROIrrNa5Al+te20WHLJYtBcx/OQXIQ/s6mmb4WhD30bYNO3aROet0Hh+JyyxNF7HDol99bBdauyJqbrhBPZXOxqGcQOmqdsqjwHwpIFwF8HkBJY3Sk9xoSUiLNJ8dYc5MYLLSe/dVukXODuI+Qq8eOresm4IK7wp69/kCyp9fAfLQdjR+T5phPdULQTzn5ncrVP2czArucXo9OYgnuN4mLQLuUv7qYqJEt1QYdEqgq3RItGibiFzRpYf5Y138RCLQRd6k+uXACubIrX9K99VXQGtEvnh7pV0j9Dk6mK8tFsmWaT1VburI1KTQh1SA/KvrBRc3p1WVwBris8yUGcS9lWIAH8BdAW7wdo8F7KgT7BvInb2yioL1di1Ip6RQz8ApS3SuET89XnQRtIAeLy093Mr7oRBnIGWWFL8TgTkJK0eP3GQw7wA+XJsuzlZrpaZCKsht8dbkx7QB60n3oV9eAfLQIR2G+K1IfAJx8kOM/YKmWSk2rd6GHJ9SD/A6yX5nTmaiAZxG9QZxMImdsTDShcBXAXm6FgG6Xh/ZD8rlIhC/Xt1kHu48+MQs18cAMbVWLZlW1gow+OT2F4L/a2EpemOXx14q3LG4Kk1vs8wyWp7in4c+pALkX1kHo/G7I/H6+rFI/DDETwbsVOGNTCg5gU9Uwc2JUE5ukEMyewXt3j5OjcjJRb76g3BVoJ8SUpL0QvveiAiUtNe3Rud41MVT/5kBia4ZKJyQCnRAhLx5nS4EVLDWa3IWChX5K6FuqxG5A3cFeGm2ivWUAfoo3bRlpcSC5y+lAHnoaZplrvhofOaJ23GjnXIU4nYbovByTmuAZ5LB8pLK3Y9ZA+DT/vqUPwE6Z8kF55xAV835JuqyGAmQlEVmSUnUIpvOMy8MnAEwV6uFyujhD8A0e2Vx2SpLcR55i8hr7vvokw/R+J6tUlMPPdQD4r+UAuRfVc+NxutpNiwVDBDfWtj0fvgI8VNuPrhB3EXfpUKcwCegGNizgLjkFpXX0WujL80+Am4VmSkDKRNSZuRHBidC1s+W7H90AVRmZLKA3CJze5uzQVIGOyTO6uUntP7iw78FO4CzW9hcJO2xQtwVMtXHe9F42CqfVgHyr6inQNzrgC9+N8THzJRT1ui7+eKcUwV3OVk0Lo/lucEcFeb98GPURU+LzBvE5YYCpIVRroR0BdIVKCdCvrDCW45NiZA0NdJ+G/hyAS7XtWdeCricQDbVPiVwLi3PPbnCJaBmodQy/cUyU8oK4uRhXgq4FBeZlz4aHxUZKp9GAfLQMQ354k+F+HRhc7BSVhG42ShnAXmF+IlQTmgwt0j8BLB7PovIVyBnD3ICXYF0YSQFejlBvPhESCdC1mtLareYL85EbQGUi/ZfyQLc80n7ldtnlZa5nGndblxzxmuKYY3KHcDZQX1ZGsTLUrNn6lg77527aHxqq4R+OQXIv5peyFKZntM3wLLjbi1s3oK4i8TLmQTQZ7VVOpD3AC/nBnHxzKEw59VQB1JbBRqVl0UicT4R+ALwhVsKI4Bcqzj1NBZBt1MKzC3PnE9dAQ+fsg6l0O/iSqjmu19kHGBeIV4cnEeIO0tlF+LRV+VTKUAeOq6taHz1mKYQny5s2jYP8eQgfk4tK+XUWynlBCxnQjmL/cEV5npfvXJuIHceeS0MssVF88cXcraMWTNcp903ZTl2KUjlJKDW0/NSgOu1VYAayKHvVatUi/yVUiY/sOMCpl/YrPeL28/SDy0yL3Mo1ylAEY1/FgXIv5JeMxqHW9zcq9icLWwOEK8ZKgrxcm5++OJBflbL48E9VoCXM8AndjBuj7vOgwygph5CUg8Lgy6ouec1hRGMZUz8ZikYkihZvwfzs7m0ClArykEDubQDSBJN23fTnbtlnnRRuD3W52zwdhDvfPGJpbKpiMZ/SQXIQ8d0Ixqf9xwfIJ7zPDtlgHgxiJ/UDz85iFeYC6zLmVAeUEEu0TjrYwafIDM1k94bxDuQA8xqrSzSh5wygTOLN3+xH4BqnLSPWBLKNYO4uSMWOUtOuZXzS+Rce7rkJCuyKekYuXXWz6oJVq3c1Ja6G5H41FKp54xo/DMqQP5V9ALR+HSBczYYonrhk7L7WYrh6IkbxHVhs1SAA4tF32apnIHlAeAzUM4sC5xnRjkz+MxAYiDLjTKDEq8D3wJwIbktWtF5tUpR6I+B9u9WF9z3bqGSquXSwZy59WaxCUMWqZcs8E1SWNR1eewuzsHcInAPcP/41uLmLYhHNP7LKkAeuq1ZGuIInImlMh0IcQ/EzyTgVhtlOROWbz3EyxlYvnG1UsoZ4HOR/O1TQToVUGakVJD1frz0UgjLksCFUEpCuRbwY26FR4/SrRAgLAWwqckLi2eeluQWJjMSM6icpXQeLYa3aUN8ucpreQFyBqcMpNJ+EGdROXAM4HZMQPxLKUD+FbQVjY+7HfHGZ5bKhi9eIe77hg/FPrOFTfPAR4iXh+aHLw8SKS8PrNslAucTA+eC9LAgnwpSLjidClIqOKWCnBhEjESMon73UgjXJWMpCcuSsKSEKwFMkuddiAAkLc4hndpDapUQlqtYMotG5lQYfC3A9dTyyPmk26/VHmHLQMnc55LPvnv2kOb2fIzCgYD4F1SA/Cvr1kImsPbG5cntU/tI3CDuuhhaxSZc75RpdsrZZaacG8SLWSkPQPnGKA8ShdO5IJ0LTucrzucFp1RwygWnvOCcCnIqMr1HVVgAfCkLrkvGdUl4TBkgxhUntdATikKbztA+4QAvVP34cpL8cr4SinVNPGWB9SJAZ00VhIueazZL94M4AesI4aHsfnXOLYiPCoh/CgXIP7sORuN3y0fmW9H4ePO9U7p8cS21r9ko1KBtEH8gLA8KcY3AZTujfC9dFH46L/h2vuLb+YqHvOCcF5zTgoe8IIGRqEWkhROunHBZMn4uJ1xKQkonXdckXIE6IrMsSbsjUuvPopWfls9OSwItDD5n8FULd04tZZC4iLUCBe6yiO1Cmh6Dsu5PIxdaH64Aro/b9h2IRz+VT6kA+VfVkUXOESYWYdtuI3C28sVdmuGqAVZWS+XcZ6cs3k45K8S/AeWbeeIsdsoDg74vyA8LTucF5/MV389X/H6+4Pvpgu/5iod8xUMSmJ+oVJAXTihM+FlOeCwZP5Yzfl5POKfSPpZF5ixpiWUhbS+rKYtXQrloVL4Q6ATQiSQiP+c6ik1smdwsFkDGxS0FXK7d98by5W7/23mQA/cD3J8j9CkUIP/MeqFofJVamAZLxjV+WuWLD2mGsJ7hXcVmWqcYPujCpvPEyzdg+c5YHhj8jcHnAvq24PTtim/fBODfTlf87fyIv51/4vfTBb/lC76lK05pwbd0RUazVgoTLpzxs5zw1/KA7/mCH/mM/71809eVd0y4slgpfGLwmcCLVoDWlEdCWaDWS0K6MlgtFpQM1pRE0qwTWwRteeEMBrdMlhv/dn2e+Nr7Dj/8aylAHnqSVj3GxwXOOlOzQd0DnJNE4LVniiv0mXriDxKJV4g/FNCDQPz79wt+f7jgt/MFv50u+Pv5J/5x+om/nX7it3zB93TBmZZ6A4AFhMIJCyf8WR5wpgV/lQdkhfxSEi7nJFkseltORcv2xRunq7YD0C6J1gqgG3BxSkBJoEUWeGtvlKyRes5gLP0C5iILrQDmGUOj3z0D+LBdngfEP6sC5F9RR7sceo1ReHeCYUF09MZ9oyzLUlGY1wZYuYG89k9xKYbiiYuVUiH+sODbtyt+f7jgbw+P+Nv5EX8//cTfTo/45+kv/P30E7+nR3xzIM9afrkgaUR+QqaCTAVpUYgz4cfpjJ/LCadckHPBkgqWnLRIiGtHRRu27IdY1EIiHTlHdYFXpgxRTmBOIJaqTiKSaFzFhUGpQb37d9so4NkFOBAQ/+QKkId6bRUByZO5rdLdt8KWmqVCbgybu9X+4R3AZ7e2sMkPaqecFzx8u+K3hwv+8e0n/nH+gd9PF/zz/AP/OP3AP/IP/D3/wO/pEQ90xXe6IFFBVmBaRP6Dz0idb064pIzv+YKf+YSfOSOnLIVEibv+5j3AUXuy2CALZGpphV2qpv4lk6W03zJXUBqo51kmy2SbUwD8yypA/ln1XH98J0qf2SqdN576x5alUlMQ3WQf37lwtFTEVnF54g8sEH8QT9wg/q+Hv/Cv8w/87fQT/1SI/yv/iX/kH/hOF3xPjzhjkcgbjAWEhRMuyDiXBQlt8XPJCRfO+Gs5a7aLpC7mnHFNDCau7XCtkVabQmTbSffTiDyTMLiuE2T1yotUvFbPfBEbJkl5/7PK5wPgX0oB8tDz5DNXZtG4X+DUnPEyDIjw6YbWO2VRT7zmiX8voO+9J24Q/z8Pf+F/zn/iX6e/8Pf8A/+T/8Q/0g/8I/2F7+mCB5it0qLxBYQffMZZo9yCVD3zn+kkC6Qkeec5MVJi+d0iaL8WN8yZFODusY1xm9orxcz0lkPOJAuckoFoME+tijMU2lGAPPQy2orGfX+VZBkrOsXnvO2Ls/fGHyRPPA+e+D/OP/Cv8w/8z/lP/J/Tn/jX6U/8I/2Ff+Yf+J/0J35PP/GdFpxRkIkryB854YIkzxNwQcaFM37QGZkKzrQgEavlMkDUw3oAuN9e9wXq99D91WLgtu+Mk1aKFoG5uSgkueUAAuihTQXIQ0/Xlv3SLXRSn8XhFgEty6PYVB+9F6hryf2ZgTMjaZ749/MVv50v+Nv5Eb+fLvjb6Sf+dfoL/zr9qZH4X/hn+oF/pB/4na54oIIziaWdoQ4Hmlf+HRf8wLlC29+3j7kGqPUxv6lpV0gP9KTWFDcvvRQwOYvFFjmJAuahqQLkoadp9MdHW4XUG7dtHdTRZatIh0E/5cfB/SRl9/lUcNY88d9OF/z99BP/PP/AP0+yqPmP9FeF+O/pJ36nK/6WCs4AzkTIGh4v0MicGQuKRObqnWcHeK/ie5APACdWqKPfzma9mNRq6RaPUwJS0Yhco3JrfJWo98s9zL0C7CEEyEOwdDeyJwKNwrsLnpvyLW2dT4zkI3GJxv2MzVLbxQLlZNG4lt6fS43G/3Z+xN/PkmJo2Sn/k//EP/OPCvF/0AX/SAXfiXCmhAxCQkJBgdRNFixgFBT8ZF7Bu7BktNhjZmozHrRAyEbEwd/QoE7M9THTMJPT7JTingOahogWlTu/XP5pUvs3Gr/vUQH4L6UAeWhXbA2dbskveg7WCkaAn1xkbtG4Tfg5N2ulWSrSN+X38wV/02Kff57+atkpSTxxs1P+kQr+Rgnf6IRMAnEAKCCAFxRQB29b/FwgGSsLpP/KlbUjora35SKRMxXUOZ/d8OYB6vWr8VAd0jkrvEmN8eSi8rqfROOUqEXnwH5Wy0Yr3NDn1IH2d6FPpwkAbhaUHNWkWRZbdJ77aLx4mDsrpXrjJ7NUpAnW99Ol+uJ/P/0US0VtFW+nfCfCNzrhTBknZJwpI2lUblBf4ADOkrFy4VxL9i8l43HJuJSEa0lYFhk6QQuBFkg0bePh/G0VqR+AqFXF+tJ8n3du+2Ao3lJ//dC/SehTK0D+WXULIEdg7eE+RokH/ryvPrF65EzoJ9vXkvbhcQaQGMn6iaeCh7zge77ityz9U35Pj/g9PWqe+AXfaZGFTUDsFCIkELKCzu5LtVWkgvPCGRdk/OBzBfm1ZDyWjEvJuC65luhjIYU31Va2BnO5Z1g/chvoTKzfo31dR8C+VXQ1g7nbvquA+adWgPwra4D5Vs/q2qBpC0KT7TyCw6odrWDGslZc9gpb5aQbzXY6FZxP0or2IV/xLV3xPV3wLV2kYjM9Sp44JDvFFjYTUoU3ACxcKsQvzLgwcEHCIzJ+lAc88gk/yxk/ylm6IS4nXLQ/+fWawAsBFpEPMKfCOmxiDfPuK5h9f1uAHdsejC8/BeahT6v41//MOhL9bcHcDTDoNEbmM1V7AJpDjTrj0mAOK5rxpe4Kc8kVlLFsSYdBnNOCh7TglFrzq+90wdmKfYg1xbB54ot+BoE4Y2HGhQsukFzyH5zxo5zxg8/4szzgz/KAv5Yz/lrO+LGc8LhkXEtCWRLKNQGFQFdoT3KFuH9c3DaNyKFR+RTiQP9vNMK4m8Z0ZJ3ixn/OEZV/WgXIP7uOwnyvBeowE7Lrf33EoqEGbyug8fZKyWi9S7JE5JQZOTNOqeCs1spZW9FaE6ykza6yphRmfbtS/49x4QVXLLjwgp98xQ9m/Lck/Mkn/Fm+4Y/yG/5YvuN/l+/43+s3/Pf6DX9ez/hxPePn5YTLJWO5JuCaQBcCXeWWFOhpsXuWxxahL9zsFhsA4W9PlYP1oWZnoS+hyFr5CtrKmljtp1Cm1FISLR3Rn6toPnO2TdxHnH5gsL5fzameVURCbRUFPEgaVCUtj8+p4EQyFMJyvdu9zz6RPPEEBlimATU7peAHM/4oCX/wGX+Wb/i/5Xf8Ub7j38vv+GP5jv9cf8Mf12/47+Ub/rwIyK+XE8pjBi6EdBGApwvqPV25wpwWRrqys1u4+eMjxMtxoBNR3398d+ftDomhz6sA+VfTFhC6dLU+b5lSAUoCJ4CKNHoSeBd0VS+FV/MmiVuD1g7qw61tk+6BLemFa2XlrGTeMk8eObmKzSKpht4TB/BfB/H/lO/4z/Id/1ch/sf1O/57fcD/Xr7hv5cH/LiccL1klEsCLgl0kYg8XdUbv0o03kXmDuAGcSr6I1fgBkA8MSJPtLK6akpi6EsrQB4SjXChFo3X/thFGmB1UTlZ1Fmap6sRepfYUn3i/i+CGpljALyqQXwEeKqpgwuo9U5hrtWbliV4YfHEzU75T/kulkr5TSyV5Rv+cxFr5a+rjHu7XE5Yrgl8SdVKSQZwvdGVq61So3GNzLFw9cith4rcu8jc5mzaF3U0ko6oOzQoQB6ai3kKc2aaROUF1vRpGm0eyqUen8+rLQuT9hKX55Y62Dobijsuj0lSDCELm2an/GcRkP/7+jv+ff0Nf1y+48/rGf+9POCvy7lF42qpkN6qtWJR+LV55F00vrh7hfpNfzyi6tAzFCAPbatCx/nkRVIEadH2fNrIqfrkPgpldgunqPe+YMYX0PSFNKRvRx3EL5xxKSdc6CRtaMsirWiTNMC6IOEnG9Rlf0kxPGsULnbK/y7f8e/rb/i/l9/x78t3/HH5jv8+PuDPxzN+/jxheczAJSE9JqRHEj/8ov74BUgXVqhLJJ4uGo1fG8htkZNsLmeNxF9g0TMUcgqQfzU9NQWNpT9255cbwAsDy1KNbUoFvBSgFFBJnU+8VdJOHuDqNpRCWAphKVIy/7Oc8LOc8Gd5kNFsVOpQiAsyfuA8HR7xozzgB5/xx+IXNr/jv9dv+PflO/6/n7/jj5/f8JdC/PrzBP6RkX4kpJ+E9Ajkn4T8CKRHID1yg/nFLBVGuhSkpciQZR+NF/suelsFwF2LnqHQlgLkX0XTdqr3Z596v1xwqedOBF4KKDdwWbZGtRy0UIa0X4kUzsD1LZGMD2YCF8KyJFyXjEtZcFmk2lIm3p8ryAEZCnHh3I1yAyA9xvmMRxb4/7l8w7+X3/DH9Tv+o3bKH5fv+OPnN/z58wGPP0+4Pmbwzwx6JInEH4GsEbmPxHONyA3opXnjxcO7bEbjK3/c0jy39Fz7JX4wPq0C5J9dBwA+zUfeWFDrcsxLAqiAl0XOQSSReWpDErDIwOIKuBHirsTdl7tzUZgXgfnP5YQfWqyTieug5KJ9Un7QGYm4G67ceqdIwc//Xr/hP9ffJDvlKtkp/318wF+PZ4H4JYMfM+jS7JR0kSKgdBluzlahheuC53iz6HszGvf3Jss7t+98BHAsdIYGBcg/s1Zl8hvFJKuKQnstt20KmzrdXWXeOC8FRAVMBZTFXljZK4v6yEVyr0uhdfMpLYPnRToOSlSecCkJP68n/MgCcrkkwpJlPNs5XVcdDX8W6Z/yo8gPwH+v3/DH9Rv+9yLZKX9dztUTv14sEk+gn7qwqTDPjxu+uM9WKayWSml/kTADy7wY6GbbA+BQFe0q9TAg/yUVIP+s2oD4FOBu22bL2qw54DzkMhcWi6VG4wQsUgmJUwZdC5AK6JRcpEq1lF0qIgllAdKVZJDElcDXhHItWFLCJWf8uJxwTgV/Xh8ASMOrJcti5s90quPZ5JKkJe21JPzU3il/LWfNTJFI/Of1hB+XU/PEf0okTj8J+ZGQzRv3EL+YpdIWOC0iJw/zq9ksQ8rh4gDvq2KP2Cqh0I4C5J9NR6LwAeC+der0HP50zBKoWw60VS8uCyxL3Cbh0CW18WVXAVy6tF7kKQPlSrW4hq+SGUJZyuD5knC1IqF2ubgsGT9OZ/zIFzxo2b4fz1ZYFkcv2sXwcTnhx3LCj+sZf2p64UVTDJfHDP7hPPGLQvwnkH8ayFmhLvDOushJV13gvJQB4M4jN3i7yLyLxm/0snkxuMePxKdWgPwzieZ2yS7APbz1cT+ObIC6RY451yIXXhaxWAzmV5KZk3mR6fE6YCKdEviawFcGX4GUqS4W8sl1Q8yssJd5Plf3/6aFgcs54edyws98wjlL6b5VfdpYtitbP/EsC6VLxs/LScvupX9KsRTDH84TtwVOg/hji8SzReSPGolfGeQhfi3AVRc4lwnE/Y+ft0DGaNz76P6DA91xYauETAHyz6I7IN5F4CPAN6DfTsiSqaLzI5n1uYGn+uVXINv5JTqnk9wkKk9I2TxnAl+0pohQI3bOybIRe5iXhFMu+Jkzztod0Vd+FpZF0ktJcn+VLoaXS5beKRep2MSFJE9cbZR0aZ74CHGfbmhWimWqzCA+bZTlIT4F+iuBOKLxT68A+WfQrZ7VI8SHKHwFcMtA8ceaEhQ+lpnCAvRlacDQnHK+XsViyQmcEuiaka4FfEoCwisjafl7uTIoE1KGQP0k94XI2mAJzJmwnBJyLsgp45QX5MSdP87c8s+XIv3Ey5K6KJyuWq3pUgzpuuGJX1yGinnjNV+8VCuFnA/eUhC5j8ZvaZatciTtMKLxL60A+a+uW4uaM4jPxol5gNtjOJula6ol52TmusBJmkcOZ7dUiyUJ0HHKEpHXwRLSqracxGaRhHK1WB7bFPpiw48BXFki8iUVUGLknJGGRl1s+2jmCy8k/cSvSUvuk5TZWwT+0+eJO0/cQdz8cclWKWKpXBXmRb3x69L74i6ffDMaH1oEywfegPKerbKliMa/hALkv7KOQHz0w8cofAJwstaDHvrje1npeUpgbaBFWRc9L1eB+eUqi5/2/jmBUkIiF/EnoOQEEFD3thFxkOHGtABlESDzNWE5FSw5gRLjmlg+NnEt65c6G6pTfWREW+uXQheSzoUXAnXphS4SfxRP3FdvpktBug4Qr7bKAHHni3fFPwPEx+90pejBEjqgAPmvqpeCeE5rgOdcvW146M4ms3sbYVnAKYMoga9XsROWAsJjzWixc1TDhmSBU84paYWKfiyseeVng7mkJ/JJF0QTwNr2tjbdYrtJPjpqbrpG4OrJ1y6GFy27r9E3alZKl51yZYH4o8Dc/PApxM0PV7upLXCuIc4O9vZ91u1eT1nkjGj8yyhA/hm0ZafgGMQpt9fl1iLyClkPdBMzwKmBPCVQLmC1WnC5gm3xE4+yPacO5pwI6UTI3cBhhTkT6AHaGpZAC4PPBL44kFs03oG85alTcY+v2vzKOhde+yjce+GWnSI9VJqdsoL4mGZoPvkK4pMq2Q1L5S5vPBRCgPzX1JHGV+PCJrAPcYvC9Tnb9mqzTEAO1CwVsDXUKjLRxt5zWcBa5UmPl/ZjAgAJSImQ8/rcMoRCYX5C7cfCC1BOLD8wmuXSrBj0nRQ9zB28ybei7Qp9XNXmxS1uOk98BfFlAnGfL77ni7vvcFcRjYduKED+q2snGm/7kIu0ezulQtxF5QLJ1LYRaWHP5P0LJFe8FLDeE1G1UZgIhKvAflnAlwvIYE6ElJL+aABdSwDzzJnBdXI9UDSybkObuRsZVzsravl/i8wN3NABEUPTK4P40uyUlmI4LGw6iPdWyka++JYvHtF46IUUIP/VtBeNb2WoVHA6mCcSABvEk4vEHcTZouUtmBdUi0UaYwnQDdREmrmCxxqVMyBAZAYSyeInoLZIApVUn5eFUE4s0+uvhHRCHdYsHjmhjopDi8gBAbaHuQe4PW/RN1oDLAO45Ykvw8Kmg/jW4uZevnhnqUQ0HnoBBch/Zc36p2xBPNktTyHeATwlAXjSEvtsIJfzs/sxseERYmUU6bNSirxX1lmXeRF//PEiueWPl9psiyC/DcTWpySjXDOoJKQlYbkC5QSUE6FcGHwCSqYG8oQ5yBmuu6KNYEM39Z4M5HUwhO+dohkq11J/oFYLmwZke6wVrpsQH1MNtxY4J1WcodCeAuSfRRu9xTtf3KosU+pAP4M459wAni0ab160/WXAAFpjqKT2g5yb9IfArJSaubIsshBauCWcFEYqp9q3HNXjJoH4qQE9dQud6K0VvShSkPvOihXeOleTChrAL0VeL2qrDBH4NE/c2ykvDfFBEY2H9hQg/0zqOhu6hU5nqdRo3Xvgk0gcWYt2cmoAN6CP7g6TgkuugQtrrribGgSN3gHgEQJz88zVgrFzdPkrRbJaypnEZlkE4CWrpZJugJw1Ii8DwGu3QrRSe7NRCr8OxOv13Ug1BMJSCd2lAPmvpEk/lXEohM9U6UvvXeaJe8x+kdPslJMseNp9jcpT70fXc+vUnwrNhVHMTjdfPTmYG5gsMreo3YEoARrpZ5SFQEuS7JUzpHNi6iHO/ddQJw95kI8At+g7aZn9CPKxd8oU4rOFTS8P8Um++LhvKPQUBch/JTHPFztntspeNE4DxLODuEXiBnF7nsxiQZfuBwDIpNBUQCZCSkAhksu1yyvNF+dEwCOaZw63AKqwS2rZ0CmBz9KnnBazfhhWTLSKyAEXlbM8XjzQ3aT7q4O39UxxvngH8Ul2ynRhE1inGW6U3U8tlYjGQ3cqQP5ZNNoqftsYjbssFWhDq+aNJ3cziKNF5C5TxIsVnJwlVZCvQCKWt1xSy0wBqpVinnmF+QBNKmfwVYZS8FX7tFytxa1eG3HnxTBRi+x9RM5o8C5cR891AB/uVw2wnJWymScObEN8KAC6G+Kh0IYC5J9IK1sF6AHv0wotV9z88BqRpwZKD8yk0W+GWhkDzNlZGQtAlIDEEp0vpVktek2k18gAiHUs3PUqj3URFEsBrifQKQvQz7nZPv6vBXct68Igbvcajde/DGYAt4h7zEypU352ID7zxDfSDJ8E8YjGQxsKkH9mUbNXah8VoPPJ2VVvCswdIMeIPPdWhrdXiAFmtVjkf2TtE0BBknsWuwSQJ94ztzzzrjeLpiiyQXVRm8Vsn9pF0X0uL2bUNuWWWWMRuYGcudkozjbp/PChi+GTIX5wcXOqgHhoRwHyX1VcNlMOO40NrywarzBHhTmr983kInAXidfnE5/c+M3MICLtID7APLP48gXAGQrXAloymE+1ArSDeSmg5QScFbolA0W6KHJWi8Zy5O1avL2ika15+Fi4+fD22LecrcBfL2q+OMQ38sVj8k/oXgXIfzVtLXjuadb4yvdRyS4ad2BkmkDcwxxo9grbTWwOAXgPcy6peumycHgS8C+yyMkKUV4WicIBAbyClzRDhJaWLomEmq8un3Ww75WBFd7VYhmibW6Regfw14b4oLsgHtF4SBUg/8XFhaVZle9TcktdGuMQjdf8bI3WZxCf5W6jLXgKPGkFc5wIxITCqUsvxPnUoGkn0r7mAvaizamyWB6nDM4uCye3Rlw8+ZEjf94K4Haj4fnNKBx4OYg/dXEzIB5yCpB/FG1F2VM/VaNyb68UqXa8Gau7RVB2ANfVx+p9WzTui24qxDcyV6CRNteFzR7mzEmq94v55bmCtaYlQhYk2SB6varXXVp0XopWp7YFWvtcq4lG/vtzPxYrePvnI8CBPgq352NPcf9+s+wU/XdqL8TiZuhlFCB/Tx2xSGZAsuez40uRHiozbS0K1tdRS/EbwKlCvgLeN6ry1goB0gtcflTAek4mILOwUBdOqZD2LZeImk/ZLW4quHXSEMxqsch3KdJ+N2eAWkuA1XrAqDEyB9YA19dXfcQnVopsnkC8e8sneOKTfVafIRRyCpC/h+71uP0xY4SJAi6pt1e2/mMvvO3AuGvqAE3DNp+x4l7zPBeoSg65/ADYY4G4AJ20EKlIY6861EJ6pHPJbUCD2RP2lpnBnBrQOfcgTzvfb3Ewt3tXcTmNwu24MQoHnhaJO90F8VBoQwHyt9YtiG9loth/3NaTZCZnr7DaEWBSH8Of676orstOGa6fPczttAPsyTJhjLVWxENQj7sAixQjUUmSmXK9KtCbx0zL0pp0sUTkrLDt5owW3I7KBwDvAty2vQTEn5pm6N8nFBoUIH9LbcHlUBqh9egufXQ+i8r37JV7YEAbj/V5l7nCLjLn/pgGcPT2TDK4K4CpuCIl8c+bnbLoJCIG5VytFttP7J4kBjycVy5PVp97BVoeoTzYIDMrpdv/RsWmPxeeEIkHxEM7CpC/he4A+NgEaxSXAegjzEmjcp1sX9sAcmr7WvSZ0ToScjUu3JutH5NBk6sl7l7bvfSmZNdF8EVJFoFTai1wK9ABcLnKXx1YJH/csk6qr299ZXTU3N4PJM9gPIe37LIRhbttR6PwgHjopRUgf20dbHI1Bfi4H5e6XwU6nA1QrZRUF+zMXrFBDjXKTVwhTu23AJSkkyE7/hMrq40njvlkkbh/DZPHG5LOh9CqIWeP+KicWj90aHUmgxvgSVZmqV6MfjfpxgVswXa0UIBdgK/3DYiH3lYB8tfUAYivAL4XRbrXSC0EAXr/JzulAl6W5hsTuzJz6YHSReddNofC0trSMqOW3uuupD5K56D4qJz75378GoDNhT85oGWedABnG07hbJCSanReL8GAnghYdr7XEZ6z6Bu4aaOs9w+Ih95eAfLX0r0Q96/dsFcACJAhQOeSnMfbLJYuKreJDCPAFwZO2lskaQTMrS1thXgRS6VG6YVr3vkYhUsaIdAqOOGaV/l9N0DlM1Dqd6P++eLBKj9MnABaFl3oLA7o/nv0VF9r1f9kBvBh+25WSkA89IYKkL+VjkDcbaMtX92U1SPWRc4R5mCSqBzqhFCSHibZ2SuLFtYsLPnehYFCtb0rJwE3SCFukbXBHAJny2TxsK7zMl1EXq2dLmK/EZ0rxK1TokXaBkZKDuYGWQ/0tPMXzqixZ/gRgAMvD/FQ6E4FyF9DI4Q7S+QgwEcA+XMqSAgAqEjUrP6wwHgZIE6Sj51IhiNbxFtI7RZ5TAtqSiAtrNcqhjhV/0SicLOj5am3EzzI/SAHiAfvoG6RPm4xLWmqS7Vb7MeLW4uCBWBd7OyAvizbi82j9qLyusszo/DJfrvXEAodUID8pfVEiK8A7s+zFVVqmiHpyqQBXawF6+u9NC87EThlkM7SlM6BGpWTZrkUBi8si57XApykRDMBKCcBu6wtWq4hOnulTgryMK/TedpkHiyspfmovcJXnv0RqZUkn69F54CL0Pe+w9l3Or7FnRG4bAqIh95OAfKX1A7Ep9s9xEeAjwMiTJa5AWhBDNfjDOgAwAuaXw4BN6cEoqtYJterRK/XRXqVLARSmJP6IUQEDDC3JlqSTYJVT3J58xnE0Sb0LA7g1W7hVi4P7AN9XMjUnjM1OlewV6ATTQG9p2nP8IMWyZOslIB46BkKkL+Ubvz5XqPxgxCfTvixY12tD9lYMRdx2hEe5lgKKKnNcCXw6QS62nPNyy4ArjZnUyf7IHUwBzzEaf2x/cLmOCdT7y2PnRaNzGfZM/eo5U42mFPSilbqoLy39jCFN/A8gG/sO7zx/uuh0A0FyF9LM0vlFsR9FL5xzFpZomcDepa+IyuYL6jFMtQNllC/mSxdUfxmeb+EhDXMqRjEtTnWkLlSgW2LnYOlIs9LjcTJwdx3JZSCn1Jzx2/Kd4NkB3P3/W3CeqY7IuuAeOg9FSB/Ce1Eeas88R2Id1G4VSn6829aNQXaZlBhubSanURa3i79veshcAuhOkOT3Q9A+0wJqRTwicBc2hBmYlnoHDlVFzMN5rPJ9cX55FrQNM7HvGWFUELnrzDDWvtKuwLqwe5BO/tRvPVDcS/Ad47prjkUegEFyF9DZItvgy1yC+IGcMBNvR+Oq+fTx8wAUmv6REXAnNQTd1kbU5hTEng/wDXbcl0UC8s0HiZQJnCxgceovVK6j66ZKDU7RXuNY1GQLw3itCxqrxR0w459GwGLykdNt3H7rIUbzId/l0PR/dZ71JcC4KGPowD5W8jbLLcgvgVwf5wdC7RUxFJ0nppCndripaUiAgJzi9gBi8wfJHOlPnc/GmqPMAvEkRMoWZMq3p7Iw6iWSYX7UvTG8NPrYQ2wDN7L0tsqQO2rItd0IHqufjn124d/j9VxN/QsgAMB8dCrKED+XG1kqsx88VVEfQPiK4CPFY8+gyW1qk2yYhh730S+PUqflugzWezS4GyWbFGxXh+ja3pFs34mmkrYonNewbtCXOFuj7vJ9QPMgTs9bvuso5XyhGKcm2PYAuKhd1SA/K2V0hz+exCvjwfPHACyjzjNXlEIE0nrV7j1SFaIK8xxubRMFmCVGk6c2gi5TK0QKGs3rWW4npp5gvVC5gTiFdzVTinzaFwj98Ny/nirAt3PLFqf4uAC66GTBcRDr6cA+Utq/JN9L+PER+NbENcMlPb6GuRSRu/S9hKaV1y0tF27CtaIHBCYL22xkADJeikS0VfPvCTQyWZrkjTcylR7rYweeT0f63UsreuiZKyUbmGzi8aXZTsaPwpC55OvXjoA9MMDkAPgoQ+kAPkraAYK8tH1aKmMEM9udJmDOOe5xWKFL10KXy3BT7U3ectkSRqJJ/D10i7yfJZZmXiQ/U4sE3uWIjM1rXPileQvAWrZLqvP20XZqEOTDeLks1QcxGV4REs59IMc/BzNw9HyxA+/a1r97JyH9w2Ih95GAfLX1t6f89VSGSLxGpE3W4XT8NrWebXXuMBSI2gXkctCpnjolCQirzBnBk4nzV6xifUZ0MHIXFKdqWnn7FIW/UcbKzQtpdBDvN7LcOU6qUdhXiHuYH63NmB+9znu2j8AHnpbBcjfQHWRc4zGbZvt46P2EeI1mp9bLO3NGjibJ25SSFNpUC8F4LzuywLnqZcigGcGEgt09dpo60elDCC3vxTGxcwNiKP0EF9NtQfusDeeCPMAeOgXUYD8tTSCY9a0yQBY7wdYm53io3A9jwxcmLxvsZ4rrMVARaLmRd+Ds0L6tLkA6mEOZi3nvwKcgcygQv2PTBl+WIZSe1+tCZ8rXsomxPeyU55kjRyF+VPbywbEQ++oAPkba1X4Q2ltqczsFIV4BfhWVE6srUeo2RvFRrpx/RcX+yTJNPrTqV8AdaC06ky2iJx7/95DvdNorQB99aaV4Gvb3Qpz74u/RDTeXdMTIb17zgB46P0VIH+udrIkVpr1GPfROFCj8ZWdkhI4O8jbe45BZjGrpghjKEthEAA+AXSF/Kt7z9xfD9BXgJotwgVcsuR9218JPjWyfkbqC3Y80EeAs7dZbkDcTrdqITsB6T3/Jk9VADz0gRQgfy915fvziHwViXuIJ8wjYe0lyzocAsTavpaAq8LcbBZnr4xQrzDXdEQuWaLzzJLOmDKQSvtrYk/srJJbANf9VxD3mSrvOV0nAB76gAqQv6SO+rDOVunko3HnlXtw16gc+nxkKFHtC84ZYrGUIo6I5ilWm8V2sqgbE5hr90QfWUvWCmuvlZZ1M1UXnTuA2/MxCgemEO/OUR+/IVQD4KEPrAD5S2j4U77riX1DXX75fId6z+4xgNq4Sh43T5wByd0ukCwTSC45p6Q+tyyiEuR1SgmcpFEWGVhzdjnbqS6CUs6awijnEYizlOVvfQYfjcsXtK7aHCHevsz6nd6ll7JXAuChX0AB8o8kD+qZjeIWOVv3QTsG8ImGlCy9EAJaJr13Py4aVUtuOIO5CMAt5TDn1aShasMQQSbV67ntTbdkkfQIcHnSF/3YfiPE743GnwPzAHjoF1KAfNSR//D3FtieW4AyzQ3v/fQO4uT3cYuCoA7mYq2QzjBuqY2WG27zPwGxYLjk6XAKgoI1kUTnCnS5hH34sYu6dUN9zrOoHZhH4vdA9ijMA9yhX1gBcuD+qG3MlzY5aPj5kbXplIPlTfnCH6AtduprFeID5N3FVJgb38VaWTQ6J9hkeuk3nociIB78cgBF0xOJ5UfBgK72EK+uYaIR5gDGzJQpxHmA/z0KSIc+uQLkz/FRZ0CXJO51VO4hzgVA1vv7ovetJlXTIcjutbqNhqg8EciArh46E1WLxVeGsl17ncLTfqiwLK2CdWti/Qjvun1tnXyIDJVQ6BfR1wb5HsTvqQIkmsLcww6ZahoeQXOtM+nziQofZvwW3DsRDV65RuVWlekjdF3AJCKZAaqfiZgkMtfPzgtqdA5KzX73UPfXOUbGs4gbOxCPyDoUmuprgvy5AB/35bKG+aAO2IUB77AUd/z4g3DgLwa/3tg2ilEiPxs7ABzz1oEG9UQyV5PEPmHSHuRDOmD9wVpQvxPe+hpXBT0TgA/b5XlAPBTa0tcD+Z0QvzWMgAu745yPO0blyA3YWW0VpnnkPfHeiaX0vnrTub+umg3I7hzs8sWPyuwV+fAgLShqFZ4kXRB9brl+TjlEvwMH9ZUGSK+rNQPiodA9+log38zVPgjwcT8u3X4GM6CsYU4si55mrxRAR81L+GoLfqQLjdaKlrlLK7QovW1vUfuNpJFNyXCKyWc1C2aIyikZuPvP2X8HDuqz95xmo0z2D4iHQjf1dUB+EOIrgO9ZLatjPcwGmC8AIcOIyTmDNCpny9v29ooDu/T+5jqhx6JySS/s0w6rLBqvE+0ZNktz9THq3E/nk7vPSMR1vqecZwvmQP2rRIcfH9LWgmZAPBQ6pK8B8gMQvwnwW/MencWyGbEygZkatMkArcDm4XG1M8xW0T4npM53B/Ph8keId1kimENyD7wp1UVMHn84/PqAz6evr09+DG9lowTEQ6HD+hogn+kIxIfts0wMU7e4N4tYIXbCymLhIvnZiUDLUqFIhcEGeRQQEpg0/lbGVZiD1z80BvH6HHX8mm9vO82FvwXRRP1nnHna/ruK8Wih0Kvq84N8Wim5AXEfObrtHcA3cqTJ50gnbMB8bbHUqHxZxG4xmLspPoBNrJdsF9KaHksRBFFnY/QLnqzbLOIfXvO3LbnslU1NUzBxPE8/AB4KPVmfG+TPhPi0wGULTFZAA4jRQUVsFE0nYRugoDC3/XhZtHkVOU+8qF9t8C1tfySBOaDtZDXKHq+rRt0O4haN16k8k2h8ph3LhZLLYpmlYM7OeSNVMxQK3afPC/KnQHwL4Aci8k6lSBof0ICOBYw8h3lKEokDrSzeMlH0sWGPAPlhyFoarwnkYx75evgx1hBnP82+/Wgwc7ND9mwRmtgqRyAdEA+FXlSfF+RHdRTiKfWvu2OqLHLNGbW7X9IWsjk3mFuZu8E8LX1fEwBESzsvUZ+bkkg9c0hEPl6XyVkpK4iX0s/S9OAfP48/35ZmUA+FQm+irwPyWTS+B/EtgG/ZMYBUayrMqKABveZ9Q4ccpwpzMFV7pYN5oZaLkhN6m0V8d4vIeeh82H3sMZ3RIvEy2d7NxxzOVwLSodBH1ecE+c4C21al5tQP9xDfgP9auZXgc9F6nyQRsA1lcDAfIS7RuKT6ebDDHpvNUhtdUbv2LlNkiLC3InG3vR3jbJUbE+2nCg88FHpTfU6Qj5rlMTsgT+0Um3Op+6wAThuROZfaIEtWJTXFkDTydhN2fGvYFcz1n2aEebVZrM3tWMBj11cGkM8icfPHlwVg7qPxI8U8YaWEQh9CXwPkqi1LRR5PIO739/3Bd6Ny7YZlICTtqUIsGR6LWiJucXMX5szglNUiybW6kooVFLkZn0BLLzRZJs3ohw/Pu8n2t6bah0KhD6XPD/Ib3QzrzEx5sg/xWRS/WTUqwGNrjKVA9/YIpTYMedNmyW5gMtD6mts1kvYTn13LmNc9AlwB3UHcWTHdODave+dnhkKhV9XnA/mtApStaHorXdFDfAbwvXTEIkU90ndco/CcASwgZLVaFNR1nNosMhexXjfZ+zqffPMzzKo49yDuZmV257g1FDlsllDo3fT5QL6h2SLnKmXPR+NbEN9KT5xFw1YkpEDnnBvMidegPgBzsEbzVgZvQJ9dg78Wu3eLmpsQHy0Vr4jGQ6EPpy8D8k6jN+7tFb/PDOIe4LOUxCqzVGxRUjociifOkIbdeQ7zLc+8tB8HTlmuy/c1uTVibQQ4cAzit6LxUeGjh0Jvqs8Hcg+20R8/5Jc7L9yicnmxQb/LZtmJhq2LoYM66XZObcFzaqF4mBd2RUVAG0hhQ5j1OkuZFgat5mP6QcZ+gdP23YL4zHYBwlYJhd5Znw/kB0UezFuWymxft8ioL+4seFIDImm6n0bUpE2y6q7A5gKoLZwSFLQ51x4u3QAIO26vbayHsm33ueJ7EO9OF1F3KPRR9LlBzpNp9kc188U9xN027qo99XGNgqkNbrAKTQV6hbnmnBMwXQDtyvntoxEBnHqgA9psy5X3e40Lk2MU7q97BvGZpRJj2UKhd9fnBvlTRQOYfcn+sB8P0XsHffOkE/pRajn1ME+SySLpiVmj8XE+ZnET7LXbIbPYLQVyfKLtWZkeuB7gwNMhHgqFPoQ+J8i9T36vLLr2qYbAOhr3EJ+BfLykLZjbeZlqaiI4rcv5XddEQtbzKVztx2axdrYbEbldyw7A+9dvpBZGNB4KfQh9TpA/RX6Rs9uesPLDR4hvdUT0nCOSCT9L6bYht8wVS02UBc6hN8vQApdYBiH76BxQqNt1z+QLfEagYx/iYamEQh9TnxfkFpV7n3zDM19letSslQmgtyA+K8qxt/Ls9BPrLSpPSbojWp45aUTue7PM+pkT1+jc5mnK+6aaEbOpGbyB2wAfXtMT7L9XKBR6Vf1aIJ919zsoGVS8YXuwDDO+6/29tiorK1jheq9Qb7O4yfUESJRtWSicakph7WfOLhPGReegJEORNa1xb76o/9xVG9H2TYiHQqF318cG+R6MjkB9FpW/9HWM+8wqPImshXjbnABaGtyhrW4b2CUjhWuTrCKQJ5YTWb8UyFxQSpaJkur5D2kH1IcgHtF4KPTu+rggv2excpXyd0OF22Jhdt0K8/5hU81SD8dr27quas20xVki6qNyG3psQLdMlgnMAayA3l3nXsbJAOmAeCj06+gZYeoraa/A5inHumEJvNUQqj7emFO5B2J/f+vatrJcaqbMuhLVd2ckreIkW5j1P2CWoli4fU67AfPIe9wHaMeP+40KiIdCH0YfJyI/BMMbvzsGnDEKHtMRuQAlSVQOtNawgEbmByN8K79/SrqjReL+ebVh1F5Rz1s64LaoHGqlrCNzyHNKHYxrlL71MWaR+mbKYQA8FPpo+hgR+a4Xntrt5nncfmPkq1HrClo+d9pP1bHHxUW0M4iV4QfjJTUZfOFbCawic7uGjSh769ZpKwK3c4dCoQ+n9wf5Zp+SbXhTos3b6tgtmLtGUbW9K9AD0Ld/deegGdRn+47bZ1Prt+Qbd90rZyftgrk75sZ+AfFQ6MPqfUG+B/HVpgHWW6ccgT57HxeZ+z4j0y5/HsQzSI+RvN++Bfd7tZneuBGVz95z9MQ3PPKpAuKh0IfW+3nkd0L8yH5VXOoxXLM3nJdcFwnFK6/DkouVzMtYti67JSVtRStQo6IpfnYubSvbuh0OPv2t3t1HYZmSpCL63HTTbG3Atj9FAfBQ6JfQ+4D8IMRXAJ+W0E/O5VLvbKFvK2WPUgEzVVgzsxTrEAuti+ZuG+Qd3GQR0sPaXdOs/auL1Dt75p7Fxi2RNteapTv657egHvAOhX45vT3InwJx/9qNkW3MPPQ7afnVFeayI8BS9k5YtIugQj9nEGtUDgW9HVO4M6RoKesOiJb7vWHFrCba13OXJ4GUEh3vShigDoU+nT5G+uETIL5Vgj5urxWOtfoxK/QsOtfInJyNUvuoKLSXHvRA6mFuNktn28yi7MlC6WzhdMzj3oO0ReL+8V4RUigU+nR6W5BPKx83IH4E4HsT7G1/i7IT5tE5G9Sp5ZazTMyhReZq1l4p3mIpWMG8vs/mtWwsgrpovMuUid7foVDogD5GRK6aLmrOIO4BfsvztfzrUoBMmqXiCmp4EYAuCyhDPXGBNackFotuqxbLsuh50yrvh/as7ZWVshGNv0RjqojKQ6Evo7cD+Y1ofGqnpNZ/RJ5PAH4gKq+Vm9Z8SqNzSqW1hnUwl+ENIgYE8NoVtg5Arnnn1KoxfXXmqFmkXdMXh2gc2J5qX14A8qFQ6FPpHdMPnwjx4fmRdq3IucEwZxBzi7CJ66DjKcxZXieXncI2z7OW1KcGdHftK40AB3qI1x4p+5F0B/xoKxsKfXm9DciP5jEfgfgI8L0URQc5KuiB7vKxCVnnYW7AHC6TZUHtTNhF59YHhUiyVvznnuV2j1G4h/gsGh8V/nkoFFK9Ux75JBofFz3vgfhmemJuwMuQQqEC6fGt55ThxwdhDjQf3bJZxujcX/O0N0tLfzwEcZMCnW9E66FQ6OvpQy12Apg2itqE+BDB132787nHJQGpyDSgwhXoU5gDOlWoNJgTOZtFs1nQOimCdX7msuz65NO5mB7iXnu55THZPhQK4V0KgnaicW+pjJ543T45puvvPaaRoMExATVKT310voK5H3Q8RuYpSWqiTvKpQyD8uLW9yHkEuG1zvcNXloqPxgPcoVDI6eNF5F7OqvDtW2WbayQ1i8w7uV7jXLS3ihT8EJfaFdwWQQHcXgAlAlgKiTqgA1oRivWPio+2NwAuLw1Vnh3Q3Y8Ahmg8Fj5DoS+pjwPyWTQONIiP+5KD5bg4Kk/k3kXG7CNyFC30SeJ7E9WIt0beG555tVCYteIT0mhr0eupUfnGJPuNyk324B4g3vdLD2CHQqGm9wf5VhfDFdCpQXuAeAX4VtWnwrDCtwP60rzzItkpAATWGwugtQLUIFujc5LzJXJQH7TywMf88Q2IT7QbjceiaCj0ZfRuIJ9Vcc5ywvuS/MELn0F8LBpiXkG9ed2A2C4DzEnOu5fN0sE8JfGw9f1bdeeytnsGf5tH+2QL4nvReEToodCX1vtH5EfkvXGizk6p2yaLo9PnCl1A10ETxNO2XizJOmBNFkBdOb/469Q30xqADqDmlJOzbjqNAHfb9iAemSqhUMj0MUA+phwqmFcRul/YhEbrBvF7Jtprub5F55x7m4Uy2gKohzlQy/lrP3O4XHIP9CEFcRO7kwXNaXbKFsRjwn0o9OX1NiDf6j9yRGkSgZulsgXxvXFwnnsaQdfI3Nks0tZ2iMyZpDeLpQ1aP/OkueS2yLks8/4w0+uZABwIiIdCocN6+4ici+RbF745f/MudYVCO+etLWkdaD3MzWZhannm1myLXNfEoZ85sMjn0Va51s6WZuX1Tiu7ZQfUAfFQKDTT24H8OVG5yS9w+mh8s++Ke26QI1rDfHwPFH2v0qb9WC+VMoF5rQS14RVYAf2mRs97zw+Pxc1QKOR0FDOvq5dYuBsnzU/9dffaxJfvKkfHvHb/uk2vN9UWtaVB1xf5HLnVc5WnQTyi8VDoy+rpEfkIyiMgsahc7RXZ5h4/VzOIj4VBvme4BtUAWjYLs1wPLzUqpwKXWljAtnRJ3mKxz2/ROlp0Xq9l43NO4DzNSgmIh0Khie4D+Z418gSwT31yGwLxEhqBfuCaLH+8S0nE0qUtQr3wtcWCldVSz5vopiWymVK4d1xAPBT68joG8qd421tDiGdROaDdCFv15avIR+P3vEeidVRu5f1bMCcHbl3cvVu3vPCAeCgUwi2P3PvKT9XsHKOnPAOWdft7y6ZQXVXo5Ku5lUo4W1wFVr73Td3av7NyQqHQV9d2RH4E4Le8bQ+jMQqeZbFYVD49T97fZ+uc4+tbmkXr5qMvw35bUTmX/nh/nvo5/LnSfPueAuChUGjQnMS7Xnhqt1sa95tF5rOofDZMYWZNFLfQWIYfiXp+XkewMxjuQv7gYuzmYuZGBH13pB4QD4VCa60j8i2I78Bsr7CHCw8ZKhN/WotqaoWkRdylyBAHaxPLBD+RZ1XCX1h+mnx0vbqgHRjuTeO5IUrUfPAtD36M0I8o4B0KhW6oB/kdED9alen3a1kcrlGUA66NVpMWs66rYEp1PBvy4EPbfnb9I8xneslJO1bN6RY2N3+wxvc3bXnroVAodEAN5AchPgX4EeuBS4taR9hZyp6dx3xwD2kdz7aKyoFtmM8+16qjILcfhOF6N+do1lP3HQ27qPweBbxDodAzpJUrT4T4Ua/c7UuJ5DzVa3dpit4v90Ac51XyZJ96jg1Qb702HL/KlHmKfMvdUCgUemWdngVx09HmVy4a76LzrjpS/fIMsDarqsU4RBKVl6T2ie4DuGIdn5u+cy1+QfQZ3ngoFAq9t+bph3sQ3wH4bMKPV20gNZSw990EFeYLpAe4s1gE7GgwxwLYPvYm3mbZvRiLzhvE2VspN2yVuv8tvWaBUygUCmGatXIA4m7bejDyTnaLRc3ZvGUZ6LBuDetgPkzh6YYde5hrL/DN6HyUm8zT2zYO4nVfs1wOpkWGQqHQG2rIWnkixEdgbkXmbr8K5q1S93EKj8GcqE9JNJgT1QVQsE65H6b0dPJRODCPvmc+PLBeGA2FQqF31GZl55Mgvhedm8c9vHa7b4nCnDSTRSPjFcwTYNksQLNxtsyezXmYE0tlFo13tsqtop6wV0Kh0CvKpR8Onfom2+umEeITQK+0BfUjTaigaYclgbGAct6HOXB7sMOqB/gkt7zw2gfficZjIHIoFHoP7Xc/nCxsbkLc2ya30u5ydhFxqTAX75wk+l4Ab7PwsoAyGsw1yu0880WvOWmuOdC2jfJR9Mxe8RDfisYD3KFQ6ANIQL4VjZvGaTl15/a8g/dWqqKDJ5mT4X8QNN3QptaDqeWVjzC3bBYATARw0usbgQ7or8Jcs4k+wBziYz778JmqVl57AD8UCr2edrof9r54B+ohCm9ROvXHmmy7G7SADMkn90B30fmW1cLLAhD32SyulB8Lr4G+p65Zl09DdJ45cHOBM2yVUCj0XrpvQpCPxm9BfCeyrypJgAu0ifVbMLegeiubJaWapVK9cwAy3WfH6ikzy2QO8a1oPCAeCoXeU6eprXIkGscA8RHgR8rTFdTyuOzDPEOi8a1sFp87btG5XefNQTt9OwDd2D0/ZKnsbQ+FQqFX0vGIfBKNy+MdiO/ZGtY0y1d73oA5SJtruWyWWgFqBUFDdA6gg/pU3jaZQH1vcfNmNB7+eCgUemVtg3wrGveWyhbE9+yVqqy9VyBQN1hngLjIfMwB5oS8ymapME+uIGhZ+oXZvcIgYFKtOQAcmEbiK4jHImcoFHoHHYvIh4h2XZZP6yh89kPgxMzDImjponOxTNaROTFtV4C6Bc4O6Bufo2pYyJwCHLgP4qFQKPRGOm6tTOGd+qjbQXwF8GF4gr1egT4WAdnk+hHmtF/OL5cxqfAkup15stdH5V6IRzQeCoXeSE/PWvHazSGfDaJwC6aYwNxsltEzt/Pv9GYBpTZpiFJLKTzQELFqB9QRiYdCoY+mkyw6zik3s0U2qzZ99gs5vxyY/wAYmImOw9wVDO3CHGhWi12bB/AqDXIjeh4gfRjiEY2HQqE31H0RuWlrEbOzWXYg7rdr35UVzGfVmLqAeRPmRDU9EWh9z/XJfmn9BM7TzJSAeCgU+iDaBTk7L3sl88d9lgo0Gj/SGVHeoJv+U2Fu+29ZLB7mxvvVpCHAR+eyC91lhdwFcPs8oVAo9MbSFcFXrlDc/DG4EdmPKY7Tc6ShW2O/qCr37fP526hbrwfEQ6HQR9Q2Id+y7HzWOXHSr6XmhpvF4valLeB7mE88711wtx0D4qFQ6MMqzaLWQ/bD1vSc5+gpU+dnnRbH84xDIG6Bedx3d5+AeCgUel+JR+4WCMeodpxk34Y5WIvYlvb3rqr55c5j7wDuttdtz0gdDICHQqEPokZfPzjBovKnRtwj5J4LvZlt4u0VP4LO77u1wPqc63nu8aFQKPTCGsPvdZTqJ8jX3Xg117Lbtz7faEa1te0oIDcLkybb94Yv3wPkAHgoFPqgOk0HA7PrXeLhaEDv5m9ym5U57mtl8bb/FghvTaU/6tt7UTrogwecQ6HQry1rZdi2TKA+i7RrVL6375HpOkP/71W/kydoNa7uKYuooVAo9IsoTf1ktVhWKXnDEGLZV730YfsU5rOb36e+z40I/FYEb3rvBdhQKBR6A1nJ4zptz8PcR9oGcx+Ve5i7RdIO5luRtovEV1H+LOp/qiIqD4VCn1QnsyG4cF/mDtTUwuqX++n1q3REbR1rfvmsjewE5pvDG8bc79HeCW87FAqFALiZndZYise+4Ldgbiq8hjmwAvpUY99vP1ptlRlT5o9DoVDoiyq1viausdSGzVLlo2OzWHT7yjO34wpv32y/4T2mj+166sOIzEOh0NdWqgU1FeBpE+ar8v3RLwcmnjnvl8X77bb/bD7mkMv+JIVPHgqFPqFO1hIWcPbH2OcbcIuf+345gN4zB4ayowHGW+PVZoumfv8yid5fu4tjKBQKfUCdrNQdQA/0OmEnKxit1/cCZgKIZRByzg3mOq2+LoBikUhfByKLuG90tTV1Z4S4T32cTbkPhUKhLyppmjUMgvATeADsDjuWafdoE+tn0TkgEbqpuBB9UuYPjNksOxCf2DCb5w6FQqFPqFOfeaLg8xN4gP35mEzwmSneapFtI9AnU3qGqJxn9ol7vheJ7/cVjwg+FAp9PiUiagMaDOrj4Iax+6BtHxdAx6IhoINvLfiZZK3Y6yuID8VEm3nnoVAo9EV1Mr/aImaLoP1sTNkO8cSrLWKRuVsABeZ55r5z4lbnwmE/jNYKbkO8i8YD7qFQ6IuoFgSZh90BvRQgZ0CHS3DOIGrwXi+A9hkt1TcHplCfaqMN7soTB7Yhfuu8oVAo9IlUI/KWKtiAXmFuVotbBN1dAHWph7VE3/nvNzUDOHAc4hGNh0KhL6TWj9wDnYsMOx5hbkrUYL64s40wt/NhAvQbWi1oPgfiEY2HQqFPrNaPfLaw6SfXA/0CqGmvayIwzQtfLWzubO/K+P35EJF4KBQKAdaPfOxJvgXzcU7mTjm/wbxmtVil5gDmFbhNM4A/BeIRjYdCoU+uU31ELhsFkFh9y2a55ZcDLc8cqJku1W6hdLzP+ATQAfFQKBRqOq3K5f2sS/XCV6A8svgJoM7t5AJQqgCm9DQLZJqZEhAPhUJfXH0KiW9pO9oso18+0bbNwp01Ui2XA7J9A+KhUCg014mIeo86UbM9Nqb6YMNiqWAdJw0Bq+gceEaXwr1FzYB4KBT6YkoA1pkoQF+SP0blW7LFz/p82NcPm3hKhsmt4wLioVDoC6rSehPQu+Aesli614ZMGNM4i/MmnA/sM543FAqFvpD+f7cS2QwqPceRAAAAAElFTkSuQmCC\" id=\"image061b55e160\" transform=\"scale(1 -1) translate(0 -266.4)\" x=\"58.523438\" y=\"-22.030125\" width=\"266.4\" height=\"266.4\"/>\n",
+       "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\" id=\"image800aeaa606\" transform=\"scale(1 -1) translate(0 -266.4)\" x=\"58.523438\" y=\"-22.030125\" width=\"266.4\" height=\"266.4\"/>\n",
        "   </g>\n",
        "   <g id=\"matplotlib.axis_1\">\n",
        "    <g id=\"xtick_1\">\n",
        "     <g id=\"line2d_1\">\n",
        "      <defs>\n",
-       "       <path id=\"m76924651e3\" d=\"M 0 0 \n",
+       "       <path id=\"mf5d8a54ae5\" d=\"M 0 0 \n",
        "L 0 3.5 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m76924651e3\" x=\"58.523438\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mf5d8a54ae5\" x=\"58.523438\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_1\">\n",
@@ -4093,7 +4072,7 @@
        "    <g id=\"xtick_2\">\n",
        "     <g id=\"line2d_2\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m76924651e3\" x=\"91.787437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mf5d8a54ae5\" x=\"91.787437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_2\">\n",
@@ -4146,7 +4125,7 @@
        "    <g id=\"xtick_3\">\n",
        "     <g id=\"line2d_3\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m76924651e3\" x=\"125.051437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mf5d8a54ae5\" x=\"125.051437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_3\">\n",
@@ -4162,7 +4141,7 @@
        "    <g id=\"xtick_4\">\n",
        "     <g id=\"line2d_4\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m76924651e3\" x=\"158.315437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mf5d8a54ae5\" x=\"158.315437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_4\">\n",
@@ -4204,7 +4183,7 @@
        "    <g id=\"xtick_5\">\n",
        "     <g id=\"line2d_5\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m76924651e3\" x=\"191.579437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mf5d8a54ae5\" x=\"191.579437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_5\">\n",
@@ -4219,7 +4198,7 @@
        "    <g id=\"xtick_6\">\n",
        "     <g id=\"line2d_6\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m76924651e3\" x=\"224.843437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mf5d8a54ae5\" x=\"224.843437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_6\">\n",
@@ -4234,7 +4213,7 @@
        "    <g id=\"xtick_7\">\n",
        "     <g id=\"line2d_7\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m76924651e3\" x=\"258.107437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mf5d8a54ae5\" x=\"258.107437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_7\">\n",
@@ -4249,7 +4228,7 @@
        "    <g id=\"xtick_8\">\n",
        "     <g id=\"line2d_8\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m76924651e3\" x=\"291.371437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mf5d8a54ae5\" x=\"291.371437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_8\">\n",
@@ -4264,7 +4243,7 @@
        "    <g id=\"xtick_9\">\n",
        "     <g id=\"line2d_9\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m76924651e3\" x=\"324.635437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mf5d8a54ae5\" x=\"324.635437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_9\">\n",
@@ -4376,12 +4355,12 @@
        "    <g id=\"ytick_1\">\n",
        "     <g id=\"line2d_10\">\n",
        "      <defs>\n",
-       "       <path id=\"m1b701419fd\" d=\"M 0 0 \n",
+       "       <path id=\"md472d7b512\" d=\"M 0 0 \n",
        "L -3.5 0 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1b701419fd\" x=\"58.523438\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#md472d7b512\" x=\"58.523438\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_11\">\n",
@@ -4398,7 +4377,7 @@
        "    <g id=\"ytick_2\">\n",
        "     <g id=\"line2d_11\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1b701419fd\" x=\"58.523438\" y=\"255.166125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#md472d7b512\" x=\"58.523438\" y=\"255.166125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_12\">\n",
@@ -4414,7 +4393,7 @@
        "    <g id=\"ytick_3\">\n",
        "     <g id=\"line2d_12\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1b701419fd\" x=\"58.523438\" y=\"221.902125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#md472d7b512\" x=\"58.523438\" y=\"221.902125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_13\">\n",
@@ -4430,7 +4409,7 @@
        "    <g id=\"ytick_4\">\n",
        "     <g id=\"line2d_13\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1b701419fd\" x=\"58.523438\" y=\"188.638125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#md472d7b512\" x=\"58.523438\" y=\"188.638125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_14\">\n",
@@ -4446,7 +4425,7 @@
        "    <g id=\"ytick_5\">\n",
        "     <g id=\"line2d_14\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1b701419fd\" x=\"58.523438\" y=\"155.374125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#md472d7b512\" x=\"58.523438\" y=\"155.374125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_15\">\n",
@@ -4461,7 +4440,7 @@
        "    <g id=\"ytick_6\">\n",
        "     <g id=\"line2d_15\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1b701419fd\" x=\"58.523438\" y=\"122.110125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#md472d7b512\" x=\"58.523438\" y=\"122.110125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_16\">\n",
@@ -4476,7 +4455,7 @@
        "    <g id=\"ytick_7\">\n",
        "     <g id=\"line2d_16\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1b701419fd\" x=\"58.523438\" y=\"88.846125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#md472d7b512\" x=\"58.523438\" y=\"88.846125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_17\">\n",
@@ -4491,7 +4470,7 @@
        "    <g id=\"ytick_8\">\n",
        "     <g id=\"line2d_17\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1b701419fd\" x=\"58.523438\" y=\"55.582125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#md472d7b512\" x=\"58.523438\" y=\"55.582125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_18\">\n",
@@ -4506,7 +4485,7 @@
        "    <g id=\"ytick_9\">\n",
        "     <g id=\"line2d_18\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1b701419fd\" x=\"58.523438\" y=\"22.318125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#md472d7b512\" x=\"58.523438\" y=\"22.318125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_19\">\n",
@@ -4690,7 +4669,7 @@
        "  </g>\n",
        " </g>\n",
        " <defs>\n",
-       "  <clipPath id=\"p00edeba22d\">\n",
+       "  <clipPath id=\"p0f8458b696\">\n",
        "   <rect x=\"58.523438\" y=\"22.318125\" width=\"266.112\" height=\"266.112\"/>\n",
        "  </clipPath>\n",
        " </defs>\n",
@@ -4720,14 +4699,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 31,
+   "execution_count": 107,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Average number of signal photons is 7.046517e-01\n"
+      "Average number of signal photons is 9.751731e-01\n"
      ]
     }
    ],
@@ -4746,7 +4725,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 32,
+   "execution_count": 108,
    "metadata": {},
    "outputs": [
     {
@@ -4755,7 +4734,7 @@
        "Text(0.5, 1.0, 'Schmidt mode 1')"
       ]
      },
-     "execution_count": 32,
+     "execution_count": 108,
      "metadata": {},
      "output_type": "execute_result"
     },
@@ -4770,7 +4749,7 @@
        "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2024-08-11T12:57:51.326580</dc:date>\n",
+       "    <dc:date>2024-09-30T21:35:09.993846</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
@@ -4805,12 +4784,12 @@
        "    <g id=\"xtick_1\">\n",
        "     <g id=\"line2d_1\">\n",
        "      <defs>\n",
-       "       <path id=\"mf6bfa32723\" d=\"M 0 0 \n",
+       "       <path id=\"m1ffe040976\" d=\"M 0 0 \n",
        "L 0 3.5 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mf6bfa32723\" x=\"74.756165\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m1ffe040976\" x=\"74.756165\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_1\">\n",
@@ -4878,7 +4857,7 @@
        "    <g id=\"xtick_2\">\n",
        "     <g id=\"line2d_2\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mf6bfa32723\" x=\"115.337983\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m1ffe040976\" x=\"115.337983\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_2\">\n",
@@ -4931,7 +4910,7 @@
        "    <g id=\"xtick_3\">\n",
        "     <g id=\"line2d_3\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mf6bfa32723\" x=\"155.919801\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m1ffe040976\" x=\"155.919801\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_3\">\n",
@@ -4947,7 +4926,7 @@
        "    <g id=\"xtick_4\">\n",
        "     <g id=\"line2d_4\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mf6bfa32723\" x=\"196.501619\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m1ffe040976\" x=\"196.501619\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_4\">\n",
@@ -4989,7 +4968,7 @@
        "    <g id=\"xtick_5\">\n",
        "     <g id=\"line2d_5\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mf6bfa32723\" x=\"237.083438\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m1ffe040976\" x=\"237.083438\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_5\">\n",
@@ -5004,7 +4983,7 @@
        "    <g id=\"xtick_6\">\n",
        "     <g id=\"line2d_6\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mf6bfa32723\" x=\"277.665256\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m1ffe040976\" x=\"277.665256\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_6\">\n",
@@ -5019,7 +4998,7 @@
        "    <g id=\"xtick_7\">\n",
        "     <g id=\"line2d_7\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mf6bfa32723\" x=\"318.247074\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m1ffe040976\" x=\"318.247074\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_7\">\n",
@@ -5034,7 +5013,7 @@
        "    <g id=\"xtick_8\">\n",
        "     <g id=\"line2d_8\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mf6bfa32723\" x=\"358.828892\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m1ffe040976\" x=\"358.828892\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_8\">\n",
@@ -5049,7 +5028,7 @@
        "    <g id=\"xtick_9\">\n",
        "     <g id=\"line2d_9\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mf6bfa32723\" x=\"399.41071\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m1ffe040976\" x=\"399.41071\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_9\">\n",
@@ -5067,17 +5046,17 @@
        "    <g id=\"ytick_1\">\n",
        "     <g id=\"line2d_10\">\n",
        "      <defs>\n",
-       "       <path id=\"m1873995b97\" d=\"M 0 0 \n",
+       "       <path id=\"m8e256405ca\" d=\"M 0 0 \n",
        "L -3.5 0 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1873995b97\" x=\"58.523438\" y=\"266.086106\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m8e256405ca\" x=\"58.523438\" y=\"260.486165\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_10\">\n",
        "      <!-- −0.10 -->\n",
-       "      <g transform=\"translate(20.878125 269.885324) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(20.878125 264.285384) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"83.789062\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
@@ -5089,12 +5068,12 @@
        "    <g id=\"ytick_2\">\n",
        "     <g id=\"line2d_11\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1873995b97\" x=\"58.523438\" y=\"227.856381\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m8e256405ca\" x=\"58.523438\" y=\"223.073386\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_11\">\n",
        "      <!-- −0.05 -->\n",
-       "      <g transform=\"translate(20.878125 231.655599) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(20.878125 226.872605) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"83.789062\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
@@ -5106,12 +5085,12 @@
        "    <g id=\"ytick_3\">\n",
        "     <g id=\"line2d_12\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1873995b97\" x=\"58.523438\" y=\"189.626656\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m8e256405ca\" x=\"58.523438\" y=\"185.660607\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_12\">\n",
        "      <!-- 0.00 -->\n",
-       "      <g transform=\"translate(29.257813 193.425874) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(29.257813 189.459826) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
@@ -5122,12 +5101,12 @@
        "    <g id=\"ytick_4\">\n",
        "     <g id=\"line2d_13\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1873995b97\" x=\"58.523438\" y=\"151.396931\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m8e256405ca\" x=\"58.523438\" y=\"148.247828\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_13\">\n",
        "      <!-- 0.05 -->\n",
-       "      <g transform=\"translate(29.257813 155.196149) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(29.257813 152.047047) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
@@ -5138,12 +5117,12 @@
        "    <g id=\"ytick_5\">\n",
        "     <g id=\"line2d_14\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1873995b97\" x=\"58.523438\" y=\"113.167206\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m8e256405ca\" x=\"58.523438\" y=\"110.835049\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_14\">\n",
        "      <!-- 0.10 -->\n",
-       "      <g transform=\"translate(29.257813 116.966424) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(29.257813 114.634268) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-31\" x=\"95.410156\"/>\n",
@@ -5154,12 +5133,12 @@
        "    <g id=\"ytick_6\">\n",
        "     <g id=\"line2d_15\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1873995b97\" x=\"58.523438\" y=\"74.937481\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m8e256405ca\" x=\"58.523438\" y=\"73.42227\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_15\">\n",
        "      <!-- 0.15 -->\n",
-       "      <g transform=\"translate(29.257813 78.736699) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(29.257813 77.221488) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-31\" x=\"95.410156\"/>\n",
@@ -5170,12 +5149,12 @@
        "    <g id=\"ytick_7\">\n",
        "     <g id=\"line2d_16\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1873995b97\" x=\"58.523438\" y=\"36.707756\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m8e256405ca\" x=\"58.523438\" y=\"36.009491\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_16\">\n",
        "      <!-- 0.20 -->\n",
-       "      <g transform=\"translate(29.257813 40.506974) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(29.257813 39.808709) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-32\" x=\"95.410156\"/>\n",
@@ -5387,238 +5366,238 @@
        "    </g>\n",
        "   </g>\n",
        "   <g id=\"line2d_17\">\n",
-       "    <path d=\"M 74.756165 189.626655 \n",
-       "L 172.152528 189.561494 \n",
-       "L 176.481256 189.288681 \n",
-       "L 179.727801 188.89697 \n",
-       "L 189.467437 187.475468 \n",
-       "L 191.631801 187.643736 \n",
-       "L 192.713983 187.896462 \n",
-       "L 193.796165 188.286303 \n",
-       "L 194.878347 188.829142 \n",
-       "L 195.960528 189.537124 \n",
-       "L 197.04271 190.417185 \n",
-       "L 198.124892 191.469541 \n",
-       "L 200.289256 194.049586 \n",
-       "L 203.535801 198.67802 \n",
-       "L 205.700165 201.660552 \n",
-       "L 206.782347 202.893802 \n",
-       "L 207.864528 203.830431 \n",
-       "L 208.94671 204.368109 \n",
-       "L 210.028892 204.400791 \n",
-       "L 211.111074 203.822173 \n",
-       "L 212.193256 202.529606 \n",
-       "L 213.275438 200.428319 \n",
-       "L 214.357619 197.435823 \n",
-       "L 215.439801 193.486297 \n",
-       "L 216.521983 188.534778 \n",
-       "L 217.604165 182.560948 \n",
-       "L 218.686347 175.572316 \n",
-       "L 219.768528 167.606607 \n",
-       "L 221.932892 149.053452 \n",
-       "L 224.097256 127.834121 \n",
-       "L 229.508165 73.007973 \n",
-       "L 230.590347 63.544095 \n",
-       "L 231.672528 55.111894 \n",
-       "L 232.75471 47.911929 \n",
-       "L 233.836892 42.118642 \n",
-       "L 234.919074 37.874417 \n",
-       "L 236.001256 35.284658 \n",
+       "    <path d=\"M 74.756165 185.660607 \n",
+       "L 175.399074 185.550292 \n",
+       "L 178.645619 185.257941 \n",
+       "L 181.892165 184.766462 \n",
+       "L 188.385256 183.641747 \n",
+       "L 190.549619 183.602267 \n",
+       "L 191.631801 183.738973 \n",
+       "L 192.713983 184.013294 \n",
+       "L 193.796165 184.449888 \n",
+       "L 194.878347 185.071519 \n",
+       "L 195.960528 185.897461 \n",
+       "L 197.04271 186.941747 \n",
+       "L 198.124892 188.21133 \n",
+       "L 199.207074 189.704239 \n",
+       "L 201.371438 193.297174 \n",
+       "L 204.617983 199.62356 \n",
+       "L 206.782347 203.680868 \n",
+       "L 207.864528 205.377538 \n",
+       "L 208.94671 206.701038 \n",
+       "L 210.028892 207.529158 \n",
+       "L 211.111074 207.737552 \n",
+       "L 212.193256 207.204198 \n",
+       "L 213.275438 205.814283 \n",
+       "L 214.357619 203.465359 \n",
+       "L 215.439801 200.072538 \n",
+       "L 216.521983 195.573519 \n",
+       "L 217.604165 189.933195 \n",
+       "L 218.686347 183.147598 \n",
+       "L 219.768528 175.246957 \n",
+       "L 220.85071 166.297666 \n",
+       "L 223.015074 145.702357 \n",
+       "L 226.261619 110.647559 \n",
+       "L 229.508165 76.116536 \n",
+       "L 230.590347 65.932182 \n",
+       "L 231.672528 56.833765 \n",
+       "L 232.75471 49.048164 \n",
+       "L 233.836892 42.773112 \n",
+       "L 234.919074 38.170248 \n",
+       "L 236.001256 35.359369 \n",
        "L 237.083438 34.414125 \n",
-       "L 238.165619 35.284658 \n",
-       "L 239.247801 37.874417 \n",
-       "L 240.329983 42.118642 \n",
-       "L 241.412165 47.911929 \n",
-       "L 242.494347 55.111894 \n",
-       "L 243.576528 63.544095 \n",
-       "L 245.740892 83.283585 \n",
-       "L 248.987437 116.643534 \n",
-       "L 251.151801 138.699894 \n",
-       "L 253.316165 158.733196 \n",
-       "L 255.480528 175.572316 \n",
-       "L 256.56271 182.560948 \n",
-       "L 257.644892 188.534778 \n",
-       "L 258.727074 193.486297 \n",
-       "L 259.809256 197.435823 \n",
-       "L 260.891437 200.428319 \n",
-       "L 261.973619 202.529606 \n",
-       "L 263.055801 203.822173 \n",
-       "L 264.137983 204.400791 \n",
-       "L 265.220165 204.368109 \n",
-       "L 266.302347 203.830431 \n",
-       "L 267.384528 202.893802 \n",
-       "L 268.46671 201.660552 \n",
-       "L 270.631074 198.67802 \n",
-       "L 273.877619 194.049586 \n",
-       "L 276.041983 191.469541 \n",
-       "L 277.124165 190.417185 \n",
-       "L 278.206347 189.537124 \n",
-       "L 279.288528 188.829142 \n",
-       "L 280.37071 188.286303 \n",
-       "L 281.452892 187.896462 \n",
-       "L 282.535074 187.643736 \n",
-       "L 284.699437 187.475468 \n",
-       "L 286.863801 187.62784 \n",
-       "L 290.110347 188.152249 \n",
-       "L 295.521256 189.046988 \n",
-       "L 298.767801 189.381018 \n",
-       "L 303.096528 189.596078 \n",
-       "L 310.671801 189.663756 \n",
-       "L 399.41071 189.626655 \n",
-       "L 399.41071 189.626655 \n",
-       "\" clip-path=\"url(#p5bed510f12)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "L 238.165619 35.359369 \n",
+       "L 239.247801 38.170248 \n",
+       "L 240.329983 42.773112 \n",
+       "L 241.412165 49.048164 \n",
+       "L 242.494347 56.833765 \n",
+       "L 243.576528 65.932182 \n",
+       "L 245.740892 87.138646 \n",
+       "L 252.233983 156.402983 \n",
+       "L 254.398347 175.246957 \n",
+       "L 255.480528 183.147598 \n",
+       "L 256.56271 189.933195 \n",
+       "L 257.644892 195.573519 \n",
+       "L 258.727074 200.072538 \n",
+       "L 259.809256 203.465359 \n",
+       "L 260.891437 205.814283 \n",
+       "L 261.973619 207.204198 \n",
+       "L 263.055801 207.737552 \n",
+       "L 264.137983 207.529158 \n",
+       "L 265.220165 206.701038 \n",
+       "L 266.302347 205.377538 \n",
+       "L 267.384528 203.680868 \n",
+       "L 269.548892 199.62356 \n",
+       "L 272.795437 193.297174 \n",
+       "L 274.959801 189.704239 \n",
+       "L 276.041983 188.21133 \n",
+       "L 277.124165 186.941747 \n",
+       "L 278.206347 185.897461 \n",
+       "L 279.288528 185.071519 \n",
+       "L 280.37071 184.449888 \n",
+       "L 281.452892 184.013294 \n",
+       "L 282.535074 183.738973 \n",
+       "L 283.617256 183.602267 \n",
+       "L 285.781619 183.641747 \n",
+       "L 287.945983 183.943778 \n",
+       "L 295.521256 185.257941 \n",
+       "L 298.767801 185.550292 \n",
+       "L 303.096528 185.69834 \n",
+       "L 312.836165 185.689474 \n",
+       "L 355.041256 185.660651 \n",
+       "L 399.41071 185.660607 \n",
+       "L 399.41071 185.660607 \n",
+       "\" clip-path=\"url(#p27b12666d4)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"line2d_18\">\n",
-       "    <path d=\"M 74.756165 189.626656 \n",
-       "L 169.988165 189.726463 \n",
-       "L 179.727801 189.846772 \n",
-       "L 182.974347 189.618398 \n",
-       "L 185.13871 189.276098 \n",
-       "L 187.303074 188.743764 \n",
-       "L 189.467437 188.022351 \n",
-       "L 194.878347 185.938565 \n",
-       "L 195.960528 185.660396 \n",
-       "L 197.04271 185.513415 \n",
-       "L 198.124892 185.545004 \n",
-       "L 199.207074 185.806667 \n",
-       "L 200.289256 186.352669 \n",
-       "L 201.371438 187.238296 \n",
-       "L 202.453619 188.517767 \n",
-       "L 203.535801 190.241837 \n",
-       "L 204.617983 192.455171 \n",
-       "L 205.700165 195.193556 \n",
-       "L 206.782347 198.481093 \n",
-       "L 207.864528 202.327464 \n",
-       "L 208.94671 206.725434 \n",
-       "L 211.111074 217.050388 \n",
-       "L 213.275438 228.992703 \n",
-       "L 217.604165 254.19908 \n",
-       "L 219.768528 265.024657 \n",
-       "L 220.85071 269.389696 \n",
-       "L 221.932892 272.829767 \n",
-       "L 223.015074 275.189868 \n",
-       "L 224.097256 276.334125 \n",
-       "L 225.179437 276.151472 \n",
-       "L 226.261619 274.560742 \n",
-       "L 227.343801 271.514918 \n",
-       "L 228.425983 267.004326 \n",
-       "L 229.508165 261.058605 \n",
-       "L 230.590347 253.747315 \n",
-       "L 231.672528 245.179112 \n",
-       "L 233.836892 224.887093 \n",
-       "L 236.001256 201.713887 \n",
-       "L 240.329983 154.366218 \n",
-       "L 242.494347 134.074199 \n",
-       "L 243.576528 125.505997 \n",
-       "L 244.65871 118.194707 \n",
-       "L 245.740892 112.248986 \n",
-       "L 246.823074 107.738393 \n",
-       "L 247.905256 104.692569 \n",
-       "L 248.987437 103.101839 \n",
-       "L 250.069619 102.919186 \n",
-       "L 251.151801 104.063443 \n",
-       "L 252.233983 106.423544 \n",
-       "L 253.316165 109.863615 \n",
-       "L 254.398347 114.228654 \n",
-       "L 255.480528 119.350558 \n",
-       "L 257.644892 131.163529 \n",
-       "L 261.973619 156.391458 \n",
-       "L 264.137983 167.604588 \n",
-       "L 265.220165 172.527877 \n",
-       "L 266.302347 176.925847 \n",
-       "L 267.384528 180.772218 \n",
-       "L 268.46671 184.059755 \n",
-       "L 269.548892 186.79814 \n",
-       "L 270.631074 189.011474 \n",
-       "L 271.713256 190.735545 \n",
-       "L 272.795437 192.015015 \n",
-       "L 273.877619 192.900642 \n",
-       "L 274.959801 193.446644 \n",
-       "L 276.041983 193.708307 \n",
-       "L 277.124165 193.739896 \n",
-       "L 278.206347 193.592915 \n",
-       "L 280.37071 192.947661 \n",
-       "L 286.863801 190.509547 \n",
-       "L 289.028165 189.977213 \n",
-       "L 291.192528 189.634913 \n",
-       "L 294.439074 189.406539 \n",
-       "L 298.767801 189.40585 \n",
-       "L 313.918347 189.621582 \n",
-       "L 358.287801 189.626611 \n",
-       "L 399.41071 189.626655 \n",
-       "L 399.41071 189.626655 \n",
-       "\" clip-path=\"url(#p5bed510f12)\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "    <path d=\"M 74.756165 185.660607 \n",
+       "L 175.399074 185.770766 \n",
+       "L 179.727801 185.772275 \n",
+       "L 182.974347 185.522242 \n",
+       "L 185.13871 185.12508 \n",
+       "L 187.303074 184.47905 \n",
+       "L 189.467437 183.559969 \n",
+       "L 191.631801 182.400172 \n",
+       "L 195.960528 179.93149 \n",
+       "L 197.04271 179.477926 \n",
+       "L 198.124892 179.185143 \n",
+       "L 199.207074 179.11177 \n",
+       "L 200.289256 179.320788 \n",
+       "L 201.371438 179.877646 \n",
+       "L 202.453619 180.847937 \n",
+       "L 203.535801 182.294679 \n",
+       "L 204.617983 184.275274 \n",
+       "L 205.700165 186.838238 \n",
+       "L 206.782347 190.019842 \n",
+       "L 207.864528 193.8408 \n",
+       "L 208.94671 198.303167 \n",
+       "L 210.028892 203.387635 \n",
+       "L 212.193256 215.226639 \n",
+       "L 214.357619 228.7136 \n",
+       "L 217.604165 249.673938 \n",
+       "L 219.768528 262.066772 \n",
+       "L 220.85071 267.198336 \n",
+       "L 221.932892 271.359893 \n",
+       "L 223.015074 274.37145 \n",
+       "L 224.097256 276.07358 \n",
+       "L 225.179437 276.334125 \n",
+       "L 226.261619 275.054263 \n",
+       "L 227.343801 272.173607 \n",
+       "L 228.425983 267.67411 \n",
+       "L 229.508165 261.582529 \n",
+       "L 230.590347 253.971315 \n",
+       "L 231.672528 244.957821 \n",
+       "L 233.836892 223.401328 \n",
+       "L 236.001256 198.615444 \n",
+       "L 240.329983 147.919886 \n",
+       "L 242.494347 126.363392 \n",
+       "L 243.576528 117.349899 \n",
+       "L 244.65871 109.738685 \n",
+       "L 245.740892 103.647104 \n",
+       "L 246.823074 99.147606 \n",
+       "L 247.905256 96.266951 \n",
+       "L 248.987437 94.987089 \n",
+       "L 250.069619 95.247634 \n",
+       "L 251.151801 96.949763 \n",
+       "L 252.233983 99.961321 \n",
+       "L 253.316165 104.122878 \n",
+       "L 254.398347 109.254442 \n",
+       "L 256.56271 121.647276 \n",
+       "L 263.055801 162.269833 \n",
+       "L 265.220165 173.018047 \n",
+       "L 266.302347 177.480414 \n",
+       "L 267.384528 181.301371 \n",
+       "L 268.46671 184.482976 \n",
+       "L 269.548892 187.04594 \n",
+       "L 270.631074 189.026535 \n",
+       "L 271.713256 190.473277 \n",
+       "L 272.795437 191.443568 \n",
+       "L 273.877619 192.000425 \n",
+       "L 274.959801 192.209444 \n",
+       "L 276.041983 192.136071 \n",
+       "L 277.124165 191.843288 \n",
+       "L 279.288528 190.82824 \n",
+       "L 284.699437 187.761245 \n",
+       "L 286.863801 186.842164 \n",
+       "L 289.028165 186.196134 \n",
+       "L 291.192528 185.798972 \n",
+       "L 293.356892 185.596652 \n",
+       "L 296.603437 185.523373 \n",
+       "L 324.740165 185.667083 \n",
+       "L 399.41071 185.660607 \n",
+       "L 399.41071 185.660607 \n",
+       "\" clip-path=\"url(#p27b12666d4)\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"line2d_19\">\n",
-       "    <path d=\"M 74.756165 189.626655 \n",
-       "L 169.988165 189.526702 \n",
-       "L 175.399074 189.296363 \n",
-       "L 179.727801 188.864493 \n",
-       "L 184.056528 188.143906 \n",
-       "L 190.549619 186.699621 \n",
-       "L 194.878347 185.853323 \n",
-       "L 197.04271 185.438137 \n",
-       "L 198.124892 185.148251 \n",
-       "L 199.207074 184.732464 \n",
-       "L 200.289256 184.123811 \n",
-       "L 201.371438 183.257205 \n",
-       "L 202.453619 182.079837 \n",
-       "L 203.535801 180.55441 \n",
-       "L 204.617983 178.65603 \n",
-       "L 205.700165 176.367506 \n",
-       "L 206.782347 173.676162 \n",
-       "L 207.864528 170.572581 \n",
-       "L 208.94671 167.050591 \n",
-       "L 211.111074 158.746666 \n",
-       "L 213.275438 148.805562 \n",
-       "L 215.439801 137.36411 \n",
-       "L 217.604165 124.668806 \n",
-       "L 220.85071 104.089831 \n",
-       "L 225.179437 76.43178 \n",
-       "L 227.343801 63.834717 \n",
-       "L 229.508165 52.869789 \n",
-       "L 230.590347 48.17606 \n",
-       "L 231.672528 44.092136 \n",
-       "L 232.75471 40.672367 \n",
-       "L 233.836892 37.962842 \n",
-       "L 234.919074 36.000442 \n",
-       "L 236.001256 34.812079 \n",
+       "    <path d=\"M 74.756165 185.660607 \n",
+       "L 174.316892 185.557798 \n",
+       "L 178.645619 185.236279 \n",
+       "L 181.892165 184.766305 \n",
+       "L 185.13871 184.051765 \n",
+       "L 188.385256 183.080045 \n",
+       "L 191.631801 181.876018 \n",
+       "L 194.878347 180.459505 \n",
+       "L 197.04271 179.346586 \n",
+       "L 199.207074 177.96397 \n",
+       "L 200.289256 177.103517 \n",
+       "L 201.371438 176.081474 \n",
+       "L 202.453619 174.856257 \n",
+       "L 203.535801 173.385552 \n",
+       "L 204.617983 171.6291 \n",
+       "L 205.700165 169.550895 \n",
+       "L 206.782347 167.120576 \n",
+       "L 207.864528 164.31411 \n",
+       "L 208.94671 161.114038 \n",
+       "L 210.028892 157.509567 \n",
+       "L 212.193256 149.078145 \n",
+       "L 214.357619 139.071236 \n",
+       "L 216.521983 127.655976 \n",
+       "L 218.686347 115.117754 \n",
+       "L 227.343801 63.022373 \n",
+       "L 229.508165 52.378794 \n",
+       "L 230.590347 47.81559 \n",
+       "L 231.672528 43.842009 \n",
+       "L 232.75471 40.51241 \n",
+       "L 233.836892 37.872928 \n",
+       "L 234.919074 35.960502 \n",
+       "L 236.001256 34.802097 \n",
        "L 237.083438 34.414125 \n",
-       "L 238.165619 34.812079 \n",
-       "L 239.247801 36.000442 \n",
-       "L 240.329983 37.962842 \n",
-       "L 241.412165 40.672367 \n",
-       "L 242.494347 44.092136 \n",
-       "L 243.576528 48.17606 \n",
-       "L 244.65871 52.869789 \n",
-       "L 246.823074 63.834717 \n",
-       "L 248.987437 76.43178 \n",
-       "L 252.233983 97.058073 \n",
-       "L 256.56271 124.668806 \n",
-       "L 258.727074 137.36411 \n",
-       "L 260.891437 148.805562 \n",
-       "L 263.055801 158.746666 \n",
-       "L 265.220165 167.050591 \n",
-       "L 266.302347 170.572581 \n",
-       "L 267.384528 173.676162 \n",
-       "L 268.46671 176.367506 \n",
-       "L 269.548892 178.65603 \n",
-       "L 270.631074 180.55441 \n",
-       "L 271.713256 182.079837 \n",
-       "L 272.795437 183.257205 \n",
-       "L 273.877619 184.123811 \n",
-       "L 274.959801 184.732464 \n",
-       "L 276.041983 185.148251 \n",
-       "L 278.206347 185.659385 \n",
-       "L 283.617256 186.699621 \n",
-       "L 292.27471 188.540682 \n",
-       "L 296.603437 189.114276 \n",
-       "L 300.932165 189.421149 \n",
-       "L 306.343074 189.559702 \n",
-       "L 324.740165 189.614447 \n",
-       "L 399.41071 189.626655 \n",
-       "L 399.41071 189.626655 \n",
-       "\" clip-path=\"url(#p5bed510f12)\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "L 238.165619 34.802097 \n",
+       "L 239.247801 35.960502 \n",
+       "L 240.329983 37.872928 \n",
+       "L 241.412165 40.51241 \n",
+       "L 242.494347 43.842009 \n",
+       "L 243.576528 47.81559 \n",
+       "L 244.65871 52.378794 \n",
+       "L 246.823074 63.022373 \n",
+       "L 248.987437 75.219047 \n",
+       "L 253.316165 101.855328 \n",
+       "L 256.56271 121.504847 \n",
+       "L 258.727074 133.524573 \n",
+       "L 260.891437 144.263949 \n",
+       "L 263.055801 153.496655 \n",
+       "L 265.220165 161.114038 \n",
+       "L 266.302347 164.31411 \n",
+       "L 267.384528 167.120576 \n",
+       "L 268.46671 169.550895 \n",
+       "L 269.548892 171.6291 \n",
+       "L 270.631074 173.385552 \n",
+       "L 271.713256 174.856257 \n",
+       "L 272.795437 176.081474 \n",
+       "L 273.877619 177.103517 \n",
+       "L 276.041983 178.700878 \n",
+       "L 278.206347 179.926596 \n",
+       "L 281.452892 181.428687 \n",
+       "L 284.699437 182.702593 \n",
+       "L 287.945983 183.755874 \n",
+       "L 291.192528 184.556733 \n",
+       "L 294.439074 185.104527 \n",
+       "L 297.685619 185.434453 \n",
+       "L 302.014347 185.612699 \n",
+       "L 360.452165 185.660544 \n",
+       "L 399.41071 185.660607 \n",
+       "L 399.41071 185.660607 \n",
+       "\" clip-path=\"url(#p27b12666d4)\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_3\">\n",
        "    <path d=\"M 58.523438 288.430125 \n",
@@ -5910,7 +5889,7 @@
        "  </g>\n",
        " </g>\n",
        " <defs>\n",
-       "  <clipPath id=\"p5bed510f12\">\n",
+       "  <clipPath id=\"p27b12666d4\">\n",
        "   <rect x=\"58.523438\" y=\"22.318125\" width=\"357.12\" height=\"266.112\"/>\n",
        "  </clipPath>\n",
        " </defs>\n",
@@ -5945,7 +5924,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 33,
+   "execution_count": 109,
    "metadata": {},
    "outputs": [
     {
@@ -5954,7 +5933,7 @@
        "(0.0, 1.1)"
       ]
      },
-     "execution_count": 33,
+     "execution_count": 109,
      "metadata": {},
      "output_type": "execute_result"
     },
@@ -5969,7 +5948,7 @@
        "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2024-08-11T12:57:51.495201</dc:date>\n",
+       "    <dc:date>2024-09-30T21:35:10.171121</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
@@ -6003,93 +5982,93 @@
        "   <g id=\"patch_3\">\n",
        "    <path d=\"M 61.135852 288.430125 \n",
        "L 87.638264 288.430125 \n",
-       "L 87.638264 142.464381 \n",
-       "L 61.135852 142.464381 \n",
+       "L 87.638264 95.39285 \n",
+       "L 61.135852 95.39285 \n",
        "z\n",
-       "\" clip-path=\"url(#pac190bfed9)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#p9b33c2a307)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_4\">\n",
        "    <path d=\"M 94.263867 288.430125 \n",
        "L 120.766279 288.430125 \n",
-       "L 120.766279 281.320663 \n",
-       "L 94.263867 281.320663 \n",
+       "L 120.766279 273.652251 \n",
+       "L 94.263867 273.652251 \n",
        "z\n",
-       "\" clip-path=\"url(#pac190bfed9)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#p9b33c2a307)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_5\">\n",
        "    <path d=\"M 127.391882 288.430125 \n",
        "L 153.894294 288.430125 \n",
-       "L 153.894294 281.960561 \n",
-       "L 127.391882 281.960561 \n",
+       "L 153.894294 277.206062 \n",
+       "L 127.391882 277.206062 \n",
        "z\n",
-       "\" clip-path=\"url(#pac190bfed9)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#p9b33c2a307)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_6\">\n",
        "    <path d=\"M 160.519897 288.430125 \n",
        "L 187.022309 288.430125 \n",
-       "L 187.022309 285.838502 \n",
-       "L 160.519897 285.838502 \n",
+       "L 187.022309 284.516258 \n",
+       "L 160.519897 284.516258 \n",
        "z\n",
-       "\" clip-path=\"url(#pac190bfed9)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#p9b33c2a307)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_7\">\n",
        "    <path d=\"M 193.647912 288.430125 \n",
        "L 220.150324 288.430125 \n",
-       "L 220.150324 286.258374 \n",
-       "L 193.647912 286.258374 \n",
+       "L 220.150324 284.598817 \n",
+       "L 193.647912 284.598817 \n",
        "z\n",
-       "\" clip-path=\"url(#pac190bfed9)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#p9b33c2a307)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_8\">\n",
        "    <path d=\"M 226.775926 288.430125 \n",
        "L 253.278338 288.430125 \n",
-       "L 253.278338 286.629883 \n",
-       "L 226.775926 286.629883 \n",
+       "L 253.278338 286.552208 \n",
+       "L 226.775926 286.552208 \n",
        "z\n",
-       "\" clip-path=\"url(#pac190bfed9)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#p9b33c2a307)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_9\">\n",
        "    <path d=\"M 259.903941 288.430125 \n",
        "L 286.406353 288.430125 \n",
-       "L 286.406353 287.359502 \n",
-       "L 259.903941 287.359502 \n",
+       "L 286.406353 286.558008 \n",
+       "L 259.903941 286.558008 \n",
        "z\n",
-       "\" clip-path=\"url(#pac190bfed9)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#p9b33c2a307)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_10\">\n",
        "    <path d=\"M 293.031956 288.430125 \n",
        "L 319.534368 288.430125 \n",
-       "L 319.534368 287.360253 \n",
-       "L 293.031956 287.360253 \n",
+       "L 319.534368 286.924542 \n",
+       "L 293.031956 286.924542 \n",
        "z\n",
-       "\" clip-path=\"url(#pac190bfed9)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#p9b33c2a307)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_11\">\n",
        "    <path d=\"M 326.159971 288.430125 \n",
        "L 352.662383 288.430125 \n",
-       "L 352.662383 287.797816 \n",
-       "L 326.159971 287.797816 \n",
+       "L 352.662383 287.327525 \n",
+       "L 326.159971 287.327525 \n",
        "z\n",
-       "\" clip-path=\"url(#pac190bfed9)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#p9b33c2a307)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_12\">\n",
        "    <path d=\"M 359.287986 288.430125 \n",
        "L 385.790398 288.430125 \n",
-       "L 385.790398 287.798586 \n",
-       "L 359.287986 287.798586 \n",
+       "L 385.790398 287.330092 \n",
+       "L 359.287986 287.330092 \n",
        "z\n",
-       "\" clip-path=\"url(#pac190bfed9)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#p9b33c2a307)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"matplotlib.axis_1\">\n",
        "    <g id=\"xtick_1\">\n",
        "     <g id=\"line2d_1\">\n",
        "      <defs>\n",
-       "       <path id=\"mc289c182df\" d=\"M 0 0 \n",
+       "       <path id=\"m3e376dc419\" d=\"M 0 0 \n",
        "L 0 3.5 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mc289c182df\" x=\"107.515073\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m3e376dc419\" x=\"107.515073\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_1\">\n",
@@ -6128,7 +6107,7 @@
        "    <g id=\"xtick_2\">\n",
        "     <g id=\"line2d_2\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mc289c182df\" x=\"173.771103\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m3e376dc419\" x=\"173.771103\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_2\">\n",
@@ -6162,7 +6141,7 @@
        "    <g id=\"xtick_3\">\n",
        "     <g id=\"line2d_3\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mc289c182df\" x=\"240.027132\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m3e376dc419\" x=\"240.027132\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_3\">\n",
@@ -6207,7 +6186,7 @@
        "    <g id=\"xtick_4\">\n",
        "     <g id=\"line2d_4\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mc289c182df\" x=\"306.283162\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m3e376dc419\" x=\"306.283162\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_4\">\n",
@@ -6261,7 +6240,7 @@
        "    <g id=\"xtick_5\">\n",
        "     <g id=\"line2d_5\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mc289c182df\" x=\"372.539192\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m3e376dc419\" x=\"372.539192\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_5\">\n",
@@ -6632,12 +6611,12 @@
        "    <g id=\"ytick_1\">\n",
        "     <g id=\"line2d_6\">\n",
        "      <defs>\n",
-       "       <path id=\"m5b223e9dbf\" d=\"M 0 0 \n",
+       "       <path id=\"me54291b986\" d=\"M 0 0 \n",
        "L -3.5 0 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m5b223e9dbf\" x=\"44.903125\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#me54291b986\" x=\"44.903125\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_7\">\n",
@@ -6661,7 +6640,7 @@
        "    <g id=\"ytick_2\">\n",
        "     <g id=\"line2d_7\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m5b223e9dbf\" x=\"44.903125\" y=\"240.046125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#me54291b986\" x=\"44.903125\" y=\"240.046125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_8\">\n",
@@ -6676,7 +6655,7 @@
        "    <g id=\"ytick_3\">\n",
        "     <g id=\"line2d_8\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m5b223e9dbf\" x=\"44.903125\" y=\"191.662125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#me54291b986\" x=\"44.903125\" y=\"191.662125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_9\">\n",
@@ -6691,7 +6670,7 @@
        "    <g id=\"ytick_4\">\n",
        "     <g id=\"line2d_9\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m5b223e9dbf\" x=\"44.903125\" y=\"143.278125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#me54291b986\" x=\"44.903125\" y=\"143.278125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_10\">\n",
@@ -6706,7 +6685,7 @@
        "    <g id=\"ytick_5\">\n",
        "     <g id=\"line2d_10\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m5b223e9dbf\" x=\"44.903125\" y=\"94.894125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#me54291b986\" x=\"44.903125\" y=\"94.894125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_11\">\n",
@@ -6721,7 +6700,7 @@
        "    <g id=\"ytick_6\">\n",
        "     <g id=\"line2d_11\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m5b223e9dbf\" x=\"44.903125\" y=\"46.510125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#me54291b986\" x=\"44.903125\" y=\"46.510125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_12\">\n",
@@ -7003,7 +6982,7 @@
        "  </g>\n",
        " </g>\n",
        " <defs>\n",
-       "  <clipPath id=\"pac190bfed9\">\n",
+       "  <clipPath id=\"p9b33c2a307\">\n",
        "   <rect x=\"44.903125\" y=\"22.318125\" width=\"357.12\" height=\"266.112\"/>\n",
        "  </clipPath>\n",
        " </defs>\n",
@@ -7035,7 +7014,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 34,
+   "execution_count": 110,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -7044,7 +7023,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 35,
+   "execution_count": 111,
    "metadata": {},
    "outputs": [
     {
@@ -7053,7 +7032,7 @@
        "Text(0.5, 1.0, 'Schmidt mode 1')"
       ]
      },
-     "execution_count": 35,
+     "execution_count": 111,
      "metadata": {},
      "output_type": "execute_result"
     },
@@ -7068,7 +7047,7 @@
        "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2024-08-11T12:57:51.757983</dc:date>\n",
+       "    <dc:date>2024-09-30T21:35:10.442715</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
@@ -7103,12 +7082,12 @@
        "    <g id=\"xtick_1\">\n",
        "     <g id=\"line2d_1\">\n",
        "      <defs>\n",
-       "       <path id=\"m9a9f49584f\" d=\"M 0 0 \n",
+       "       <path id=\"mf4045c5243\" d=\"M 0 0 \n",
        "L 0 3.5 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m9a9f49584f\" x=\"74.756165\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mf4045c5243\" x=\"74.756165\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_1\">\n",
@@ -7176,7 +7155,7 @@
        "    <g id=\"xtick_2\">\n",
        "     <g id=\"line2d_2\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m9a9f49584f\" x=\"115.337983\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mf4045c5243\" x=\"115.337983\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_2\">\n",
@@ -7229,7 +7208,7 @@
        "    <g id=\"xtick_3\">\n",
        "     <g id=\"line2d_3\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m9a9f49584f\" x=\"155.919801\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mf4045c5243\" x=\"155.919801\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_3\">\n",
@@ -7245,7 +7224,7 @@
        "    <g id=\"xtick_4\">\n",
        "     <g id=\"line2d_4\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m9a9f49584f\" x=\"196.501619\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mf4045c5243\" x=\"196.501619\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_4\">\n",
@@ -7287,7 +7266,7 @@
        "    <g id=\"xtick_5\">\n",
        "     <g id=\"line2d_5\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m9a9f49584f\" x=\"237.083438\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mf4045c5243\" x=\"237.083438\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_5\">\n",
@@ -7302,7 +7281,7 @@
        "    <g id=\"xtick_6\">\n",
        "     <g id=\"line2d_6\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m9a9f49584f\" x=\"277.665256\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mf4045c5243\" x=\"277.665256\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_6\">\n",
@@ -7317,7 +7296,7 @@
        "    <g id=\"xtick_7\">\n",
        "     <g id=\"line2d_7\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m9a9f49584f\" x=\"318.247074\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mf4045c5243\" x=\"318.247074\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_7\">\n",
@@ -7332,7 +7311,7 @@
        "    <g id=\"xtick_8\">\n",
        "     <g id=\"line2d_8\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m9a9f49584f\" x=\"358.828892\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mf4045c5243\" x=\"358.828892\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_8\">\n",
@@ -7347,7 +7326,7 @@
        "    <g id=\"xtick_9\">\n",
        "     <g id=\"line2d_9\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m9a9f49584f\" x=\"399.41071\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mf4045c5243\" x=\"399.41071\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_9\">\n",
@@ -7365,17 +7344,17 @@
        "    <g id=\"ytick_1\">\n",
        "     <g id=\"line2d_10\">\n",
        "      <defs>\n",
-       "       <path id=\"md8a4c436aa\" d=\"M 0 0 \n",
+       "       <path id=\"mde8213b2d7\" d=\"M 0 0 \n",
        "L -3.5 0 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#md8a4c436aa\" x=\"58.523438\" y=\"266.086106\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mde8213b2d7\" x=\"58.523438\" y=\"260.486165\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_10\">\n",
        "      <!-- −0.10 -->\n",
-       "      <g transform=\"translate(20.878125 269.885324) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(20.878125 264.285384) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"83.789062\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
@@ -7387,12 +7366,12 @@
        "    <g id=\"ytick_2\">\n",
        "     <g id=\"line2d_11\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#md8a4c436aa\" x=\"58.523438\" y=\"227.856381\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mde8213b2d7\" x=\"58.523438\" y=\"223.073386\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_11\">\n",
        "      <!-- −0.05 -->\n",
-       "      <g transform=\"translate(20.878125 231.655599) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(20.878125 226.872605) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"83.789062\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
@@ -7404,12 +7383,12 @@
        "    <g id=\"ytick_3\">\n",
        "     <g id=\"line2d_12\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#md8a4c436aa\" x=\"58.523438\" y=\"189.626656\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mde8213b2d7\" x=\"58.523438\" y=\"185.660607\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_12\">\n",
        "      <!-- 0.00 -->\n",
-       "      <g transform=\"translate(29.257813 193.425874) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(29.257813 189.459826) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
@@ -7420,12 +7399,12 @@
        "    <g id=\"ytick_4\">\n",
        "     <g id=\"line2d_13\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#md8a4c436aa\" x=\"58.523438\" y=\"151.396931\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mde8213b2d7\" x=\"58.523438\" y=\"148.247828\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_13\">\n",
        "      <!-- 0.05 -->\n",
-       "      <g transform=\"translate(29.257813 155.196149) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(29.257813 152.047047) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
@@ -7436,12 +7415,12 @@
        "    <g id=\"ytick_5\">\n",
        "     <g id=\"line2d_14\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#md8a4c436aa\" x=\"58.523438\" y=\"113.167206\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mde8213b2d7\" x=\"58.523438\" y=\"110.835049\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_14\">\n",
        "      <!-- 0.10 -->\n",
-       "      <g transform=\"translate(29.257813 116.966424) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(29.257813 114.634268) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-31\" x=\"95.410156\"/>\n",
@@ -7452,12 +7431,12 @@
        "    <g id=\"ytick_6\">\n",
        "     <g id=\"line2d_15\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#md8a4c436aa\" x=\"58.523438\" y=\"74.937481\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mde8213b2d7\" x=\"58.523438\" y=\"73.42227\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_15\">\n",
        "      <!-- 0.15 -->\n",
-       "      <g transform=\"translate(29.257813 78.736699) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(29.257813 77.221488) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-31\" x=\"95.410156\"/>\n",
@@ -7468,12 +7447,12 @@
        "    <g id=\"ytick_7\">\n",
        "     <g id=\"line2d_16\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#md8a4c436aa\" x=\"58.523438\" y=\"36.707756\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mde8213b2d7\" x=\"58.523438\" y=\"36.009491\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_16\">\n",
        "      <!-- 0.20 -->\n",
-       "      <g transform=\"translate(29.257813 40.506974) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(29.257813 39.808709) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-32\" x=\"95.410156\"/>\n",
@@ -7685,238 +7664,238 @@
        "    </g>\n",
        "   </g>\n",
        "   <g id=\"line2d_17\">\n",
-       "    <path d=\"M 74.756165 189.626655 \n",
-       "L 172.152528 189.561494 \n",
-       "L 176.481256 189.288681 \n",
-       "L 179.727801 188.89697 \n",
-       "L 189.467437 187.475468 \n",
-       "L 191.631801 187.643736 \n",
-       "L 192.713983 187.896462 \n",
-       "L 193.796165 188.286303 \n",
-       "L 194.878347 188.829142 \n",
-       "L 195.960528 189.537124 \n",
-       "L 197.04271 190.417185 \n",
-       "L 198.124892 191.469541 \n",
-       "L 200.289256 194.049586 \n",
-       "L 203.535801 198.67802 \n",
-       "L 205.700165 201.660552 \n",
-       "L 206.782347 202.893802 \n",
-       "L 207.864528 203.830431 \n",
-       "L 208.94671 204.368109 \n",
-       "L 210.028892 204.400791 \n",
-       "L 211.111074 203.822173 \n",
-       "L 212.193256 202.529606 \n",
-       "L 213.275438 200.428319 \n",
-       "L 214.357619 197.435823 \n",
-       "L 215.439801 193.486297 \n",
-       "L 216.521983 188.534778 \n",
-       "L 217.604165 182.560948 \n",
-       "L 218.686347 175.572316 \n",
-       "L 219.768528 167.606607 \n",
-       "L 221.932892 149.053452 \n",
-       "L 224.097256 127.834121 \n",
-       "L 229.508165 73.007973 \n",
-       "L 230.590347 63.544095 \n",
-       "L 231.672528 55.111894 \n",
-       "L 232.75471 47.911929 \n",
-       "L 233.836892 42.118642 \n",
-       "L 234.919074 37.874417 \n",
-       "L 236.001256 35.284658 \n",
+       "    <path d=\"M 74.756165 185.660607 \n",
+       "L 175.399074 185.550292 \n",
+       "L 178.645619 185.257941 \n",
+       "L 181.892165 184.766462 \n",
+       "L 188.385256 183.641747 \n",
+       "L 190.549619 183.602267 \n",
+       "L 191.631801 183.738973 \n",
+       "L 192.713983 184.013294 \n",
+       "L 193.796165 184.449888 \n",
+       "L 194.878347 185.071519 \n",
+       "L 195.960528 185.897461 \n",
+       "L 197.04271 186.941747 \n",
+       "L 198.124892 188.21133 \n",
+       "L 199.207074 189.704239 \n",
+       "L 201.371438 193.297174 \n",
+       "L 204.617983 199.62356 \n",
+       "L 206.782347 203.680868 \n",
+       "L 207.864528 205.377538 \n",
+       "L 208.94671 206.701038 \n",
+       "L 210.028892 207.529158 \n",
+       "L 211.111074 207.737552 \n",
+       "L 212.193256 207.204198 \n",
+       "L 213.275438 205.814283 \n",
+       "L 214.357619 203.465359 \n",
+       "L 215.439801 200.072538 \n",
+       "L 216.521983 195.573519 \n",
+       "L 217.604165 189.933195 \n",
+       "L 218.686347 183.147598 \n",
+       "L 219.768528 175.246957 \n",
+       "L 220.85071 166.297666 \n",
+       "L 223.015074 145.702357 \n",
+       "L 226.261619 110.647559 \n",
+       "L 229.508165 76.116536 \n",
+       "L 230.590347 65.932182 \n",
+       "L 231.672528 56.833765 \n",
+       "L 232.75471 49.048164 \n",
+       "L 233.836892 42.773112 \n",
+       "L 234.919074 38.170248 \n",
+       "L 236.001256 35.359369 \n",
        "L 237.083438 34.414125 \n",
-       "L 238.165619 35.284658 \n",
-       "L 239.247801 37.874417 \n",
-       "L 240.329983 42.118642 \n",
-       "L 241.412165 47.911929 \n",
-       "L 242.494347 55.111894 \n",
-       "L 243.576528 63.544095 \n",
-       "L 245.740892 83.283585 \n",
-       "L 248.987437 116.643534 \n",
-       "L 251.151801 138.699894 \n",
-       "L 253.316165 158.733196 \n",
-       "L 255.480528 175.572316 \n",
-       "L 256.56271 182.560948 \n",
-       "L 257.644892 188.534778 \n",
-       "L 258.727074 193.486297 \n",
-       "L 259.809256 197.435823 \n",
-       "L 260.891437 200.428319 \n",
-       "L 261.973619 202.529606 \n",
-       "L 263.055801 203.822173 \n",
-       "L 264.137983 204.400791 \n",
-       "L 265.220165 204.368109 \n",
-       "L 266.302347 203.830431 \n",
-       "L 267.384528 202.893802 \n",
-       "L 268.46671 201.660552 \n",
-       "L 270.631074 198.67802 \n",
-       "L 273.877619 194.049586 \n",
-       "L 276.041983 191.469541 \n",
-       "L 277.124165 190.417185 \n",
-       "L 278.206347 189.537124 \n",
-       "L 279.288528 188.829142 \n",
-       "L 280.37071 188.286303 \n",
-       "L 281.452892 187.896462 \n",
-       "L 282.535074 187.643736 \n",
-       "L 284.699437 187.475468 \n",
-       "L 286.863801 187.62784 \n",
-       "L 290.110347 188.152249 \n",
-       "L 295.521256 189.046988 \n",
-       "L 298.767801 189.381018 \n",
-       "L 303.096528 189.596078 \n",
-       "L 310.671801 189.663756 \n",
-       "L 399.41071 189.626655 \n",
-       "L 399.41071 189.626655 \n",
-       "\" clip-path=\"url(#p3a23227492)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "L 238.165619 35.359369 \n",
+       "L 239.247801 38.170248 \n",
+       "L 240.329983 42.773112 \n",
+       "L 241.412165 49.048164 \n",
+       "L 242.494347 56.833765 \n",
+       "L 243.576528 65.932182 \n",
+       "L 245.740892 87.138646 \n",
+       "L 252.233983 156.402983 \n",
+       "L 254.398347 175.246957 \n",
+       "L 255.480528 183.147598 \n",
+       "L 256.56271 189.933195 \n",
+       "L 257.644892 195.573519 \n",
+       "L 258.727074 200.072538 \n",
+       "L 259.809256 203.465359 \n",
+       "L 260.891437 205.814283 \n",
+       "L 261.973619 207.204198 \n",
+       "L 263.055801 207.737552 \n",
+       "L 264.137983 207.529158 \n",
+       "L 265.220165 206.701038 \n",
+       "L 266.302347 205.377538 \n",
+       "L 267.384528 203.680868 \n",
+       "L 269.548892 199.62356 \n",
+       "L 272.795437 193.297174 \n",
+       "L 274.959801 189.704239 \n",
+       "L 276.041983 188.21133 \n",
+       "L 277.124165 186.941747 \n",
+       "L 278.206347 185.897461 \n",
+       "L 279.288528 185.071519 \n",
+       "L 280.37071 184.449888 \n",
+       "L 281.452892 184.013294 \n",
+       "L 282.535074 183.738973 \n",
+       "L 283.617256 183.602267 \n",
+       "L 285.781619 183.641747 \n",
+       "L 287.945983 183.943778 \n",
+       "L 295.521256 185.257941 \n",
+       "L 298.767801 185.550292 \n",
+       "L 303.096528 185.69834 \n",
+       "L 312.836165 185.689474 \n",
+       "L 355.041256 185.660651 \n",
+       "L 399.41071 185.660607 \n",
+       "L 399.41071 185.660607 \n",
+       "\" clip-path=\"url(#p9d943c5d0d)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"line2d_18\">\n",
-       "    <path d=\"M 74.756165 189.626656 \n",
-       "L 169.988165 189.726463 \n",
-       "L 179.727801 189.846772 \n",
-       "L 182.974347 189.618398 \n",
-       "L 185.13871 189.276098 \n",
-       "L 187.303074 188.743764 \n",
-       "L 189.467437 188.022351 \n",
-       "L 194.878347 185.938565 \n",
-       "L 195.960528 185.660396 \n",
-       "L 197.04271 185.513415 \n",
-       "L 198.124892 185.545004 \n",
-       "L 199.207074 185.806667 \n",
-       "L 200.289256 186.352669 \n",
-       "L 201.371438 187.238296 \n",
-       "L 202.453619 188.517767 \n",
-       "L 203.535801 190.241837 \n",
-       "L 204.617983 192.455171 \n",
-       "L 205.700165 195.193556 \n",
-       "L 206.782347 198.481093 \n",
-       "L 207.864528 202.327464 \n",
-       "L 208.94671 206.725434 \n",
-       "L 211.111074 217.050388 \n",
-       "L 213.275438 228.992703 \n",
-       "L 217.604165 254.19908 \n",
-       "L 219.768528 265.024657 \n",
-       "L 220.85071 269.389696 \n",
-       "L 221.932892 272.829767 \n",
-       "L 223.015074 275.189868 \n",
-       "L 224.097256 276.334125 \n",
-       "L 225.179437 276.151472 \n",
-       "L 226.261619 274.560742 \n",
-       "L 227.343801 271.514918 \n",
-       "L 228.425983 267.004326 \n",
-       "L 229.508165 261.058605 \n",
-       "L 230.590347 253.747315 \n",
-       "L 231.672528 245.179112 \n",
-       "L 233.836892 224.887093 \n",
-       "L 236.001256 201.713887 \n",
-       "L 240.329983 154.366218 \n",
-       "L 242.494347 134.074199 \n",
-       "L 243.576528 125.505997 \n",
-       "L 244.65871 118.194707 \n",
-       "L 245.740892 112.248986 \n",
-       "L 246.823074 107.738393 \n",
-       "L 247.905256 104.692569 \n",
-       "L 248.987437 103.101839 \n",
-       "L 250.069619 102.919186 \n",
-       "L 251.151801 104.063443 \n",
-       "L 252.233983 106.423544 \n",
-       "L 253.316165 109.863615 \n",
-       "L 254.398347 114.228654 \n",
-       "L 255.480528 119.350558 \n",
-       "L 257.644892 131.163529 \n",
-       "L 261.973619 156.391458 \n",
-       "L 264.137983 167.604588 \n",
-       "L 265.220165 172.527877 \n",
-       "L 266.302347 176.925847 \n",
-       "L 267.384528 180.772218 \n",
-       "L 268.46671 184.059755 \n",
-       "L 269.548892 186.79814 \n",
-       "L 270.631074 189.011474 \n",
-       "L 271.713256 190.735545 \n",
-       "L 272.795437 192.015015 \n",
-       "L 273.877619 192.900642 \n",
-       "L 274.959801 193.446644 \n",
-       "L 276.041983 193.708307 \n",
-       "L 277.124165 193.739896 \n",
-       "L 278.206347 193.592915 \n",
-       "L 280.37071 192.947661 \n",
-       "L 286.863801 190.509547 \n",
-       "L 289.028165 189.977213 \n",
-       "L 291.192528 189.634913 \n",
-       "L 294.439074 189.406539 \n",
-       "L 298.767801 189.40585 \n",
-       "L 313.918347 189.621582 \n",
-       "L 358.287801 189.626611 \n",
-       "L 399.41071 189.626655 \n",
-       "L 399.41071 189.626655 \n",
-       "\" clip-path=\"url(#p3a23227492)\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "    <path d=\"M 74.756165 185.660607 \n",
+       "L 175.399074 185.770766 \n",
+       "L 179.727801 185.772275 \n",
+       "L 182.974347 185.522242 \n",
+       "L 185.13871 185.12508 \n",
+       "L 187.303074 184.47905 \n",
+       "L 189.467437 183.559969 \n",
+       "L 191.631801 182.400172 \n",
+       "L 195.960528 179.93149 \n",
+       "L 197.04271 179.477926 \n",
+       "L 198.124892 179.185143 \n",
+       "L 199.207074 179.11177 \n",
+       "L 200.289256 179.320788 \n",
+       "L 201.371438 179.877646 \n",
+       "L 202.453619 180.847937 \n",
+       "L 203.535801 182.294679 \n",
+       "L 204.617983 184.275274 \n",
+       "L 205.700165 186.838238 \n",
+       "L 206.782347 190.019842 \n",
+       "L 207.864528 193.8408 \n",
+       "L 208.94671 198.303167 \n",
+       "L 210.028892 203.387635 \n",
+       "L 212.193256 215.226639 \n",
+       "L 214.357619 228.7136 \n",
+       "L 217.604165 249.673938 \n",
+       "L 219.768528 262.066772 \n",
+       "L 220.85071 267.198336 \n",
+       "L 221.932892 271.359893 \n",
+       "L 223.015074 274.37145 \n",
+       "L 224.097256 276.07358 \n",
+       "L 225.179437 276.334125 \n",
+       "L 226.261619 275.054263 \n",
+       "L 227.343801 272.173607 \n",
+       "L 228.425983 267.67411 \n",
+       "L 229.508165 261.582529 \n",
+       "L 230.590347 253.971315 \n",
+       "L 231.672528 244.957821 \n",
+       "L 233.836892 223.401328 \n",
+       "L 236.001256 198.615444 \n",
+       "L 240.329983 147.919886 \n",
+       "L 242.494347 126.363392 \n",
+       "L 243.576528 117.349899 \n",
+       "L 244.65871 109.738685 \n",
+       "L 245.740892 103.647104 \n",
+       "L 246.823074 99.147606 \n",
+       "L 247.905256 96.266951 \n",
+       "L 248.987437 94.987089 \n",
+       "L 250.069619 95.247634 \n",
+       "L 251.151801 96.949763 \n",
+       "L 252.233983 99.961321 \n",
+       "L 253.316165 104.122878 \n",
+       "L 254.398347 109.254442 \n",
+       "L 256.56271 121.647276 \n",
+       "L 263.055801 162.269833 \n",
+       "L 265.220165 173.018047 \n",
+       "L 266.302347 177.480414 \n",
+       "L 267.384528 181.301371 \n",
+       "L 268.46671 184.482976 \n",
+       "L 269.548892 187.04594 \n",
+       "L 270.631074 189.026535 \n",
+       "L 271.713256 190.473277 \n",
+       "L 272.795437 191.443568 \n",
+       "L 273.877619 192.000425 \n",
+       "L 274.959801 192.209444 \n",
+       "L 276.041983 192.136071 \n",
+       "L 277.124165 191.843288 \n",
+       "L 279.288528 190.82824 \n",
+       "L 284.699437 187.761245 \n",
+       "L 286.863801 186.842164 \n",
+       "L 289.028165 186.196134 \n",
+       "L 291.192528 185.798972 \n",
+       "L 293.356892 185.596652 \n",
+       "L 296.603437 185.523373 \n",
+       "L 324.740165 185.667083 \n",
+       "L 399.41071 185.660607 \n",
+       "L 399.41071 185.660607 \n",
+       "\" clip-path=\"url(#p9d943c5d0d)\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"line2d_19\">\n",
-       "    <path d=\"M 74.756165 189.626655 \n",
-       "L 169.988165 189.526702 \n",
-       "L 175.399074 189.296363 \n",
-       "L 179.727801 188.864493 \n",
-       "L 184.056528 188.143906 \n",
-       "L 190.549619 186.699621 \n",
-       "L 194.878347 185.853323 \n",
-       "L 197.04271 185.438137 \n",
-       "L 198.124892 185.148251 \n",
-       "L 199.207074 184.732464 \n",
-       "L 200.289256 184.123811 \n",
-       "L 201.371438 183.257205 \n",
-       "L 202.453619 182.079837 \n",
-       "L 203.535801 180.55441 \n",
-       "L 204.617983 178.65603 \n",
-       "L 205.700165 176.367506 \n",
-       "L 206.782347 173.676162 \n",
-       "L 207.864528 170.572581 \n",
-       "L 208.94671 167.050591 \n",
-       "L 211.111074 158.746666 \n",
-       "L 213.275438 148.805562 \n",
-       "L 215.439801 137.36411 \n",
-       "L 217.604165 124.668806 \n",
-       "L 220.85071 104.089831 \n",
-       "L 225.179437 76.43178 \n",
-       "L 227.343801 63.834717 \n",
-       "L 229.508165 52.869789 \n",
-       "L 230.590347 48.17606 \n",
-       "L 231.672528 44.092136 \n",
-       "L 232.75471 40.672367 \n",
-       "L 233.836892 37.962842 \n",
-       "L 234.919074 36.000442 \n",
-       "L 236.001256 34.812079 \n",
+       "    <path d=\"M 74.756165 185.660607 \n",
+       "L 174.316892 185.557798 \n",
+       "L 178.645619 185.236279 \n",
+       "L 181.892165 184.766305 \n",
+       "L 185.13871 184.051765 \n",
+       "L 188.385256 183.080045 \n",
+       "L 191.631801 181.876018 \n",
+       "L 194.878347 180.459505 \n",
+       "L 197.04271 179.346586 \n",
+       "L 199.207074 177.96397 \n",
+       "L 200.289256 177.103517 \n",
+       "L 201.371438 176.081474 \n",
+       "L 202.453619 174.856257 \n",
+       "L 203.535801 173.385552 \n",
+       "L 204.617983 171.6291 \n",
+       "L 205.700165 169.550895 \n",
+       "L 206.782347 167.120576 \n",
+       "L 207.864528 164.31411 \n",
+       "L 208.94671 161.114038 \n",
+       "L 210.028892 157.509567 \n",
+       "L 212.193256 149.078145 \n",
+       "L 214.357619 139.071236 \n",
+       "L 216.521983 127.655976 \n",
+       "L 218.686347 115.117754 \n",
+       "L 227.343801 63.022373 \n",
+       "L 229.508165 52.378794 \n",
+       "L 230.590347 47.81559 \n",
+       "L 231.672528 43.842009 \n",
+       "L 232.75471 40.51241 \n",
+       "L 233.836892 37.872928 \n",
+       "L 234.919074 35.960502 \n",
+       "L 236.001256 34.802097 \n",
        "L 237.083438 34.414125 \n",
-       "L 238.165619 34.812079 \n",
-       "L 239.247801 36.000442 \n",
-       "L 240.329983 37.962842 \n",
-       "L 241.412165 40.672367 \n",
-       "L 242.494347 44.092136 \n",
-       "L 243.576528 48.17606 \n",
-       "L 244.65871 52.869789 \n",
-       "L 246.823074 63.834717 \n",
-       "L 248.987437 76.43178 \n",
-       "L 252.233983 97.058073 \n",
-       "L 256.56271 124.668806 \n",
-       "L 258.727074 137.36411 \n",
-       "L 260.891437 148.805562 \n",
-       "L 263.055801 158.746666 \n",
-       "L 265.220165 167.050591 \n",
-       "L 266.302347 170.572581 \n",
-       "L 267.384528 173.676162 \n",
-       "L 268.46671 176.367506 \n",
-       "L 269.548892 178.65603 \n",
-       "L 270.631074 180.55441 \n",
-       "L 271.713256 182.079837 \n",
-       "L 272.795437 183.257205 \n",
-       "L 273.877619 184.123811 \n",
-       "L 274.959801 184.732464 \n",
-       "L 276.041983 185.148251 \n",
-       "L 278.206347 185.659385 \n",
-       "L 283.617256 186.699621 \n",
-       "L 292.27471 188.540682 \n",
-       "L 296.603437 189.114276 \n",
-       "L 300.932165 189.421149 \n",
-       "L 306.343074 189.559702 \n",
-       "L 324.740165 189.614447 \n",
-       "L 399.41071 189.626655 \n",
-       "L 399.41071 189.626655 \n",
-       "\" clip-path=\"url(#p3a23227492)\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "L 238.165619 34.802097 \n",
+       "L 239.247801 35.960502 \n",
+       "L 240.329983 37.872928 \n",
+       "L 241.412165 40.51241 \n",
+       "L 242.494347 43.842009 \n",
+       "L 243.576528 47.81559 \n",
+       "L 244.65871 52.378794 \n",
+       "L 246.823074 63.022373 \n",
+       "L 248.987437 75.219047 \n",
+       "L 253.316165 101.855328 \n",
+       "L 256.56271 121.504847 \n",
+       "L 258.727074 133.524573 \n",
+       "L 260.891437 144.263949 \n",
+       "L 263.055801 153.496655 \n",
+       "L 265.220165 161.114038 \n",
+       "L 266.302347 164.31411 \n",
+       "L 267.384528 167.120576 \n",
+       "L 268.46671 169.550895 \n",
+       "L 269.548892 171.6291 \n",
+       "L 270.631074 173.385552 \n",
+       "L 271.713256 174.856257 \n",
+       "L 272.795437 176.081474 \n",
+       "L 273.877619 177.103517 \n",
+       "L 276.041983 178.700878 \n",
+       "L 278.206347 179.926596 \n",
+       "L 281.452892 181.428687 \n",
+       "L 284.699437 182.702593 \n",
+       "L 287.945983 183.755874 \n",
+       "L 291.192528 184.556733 \n",
+       "L 294.439074 185.104527 \n",
+       "L 297.685619 185.434453 \n",
+       "L 302.014347 185.612699 \n",
+       "L 360.452165 185.660544 \n",
+       "L 399.41071 185.660607 \n",
+       "L 399.41071 185.660607 \n",
+       "\" clip-path=\"url(#p9d943c5d0d)\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_3\">\n",
        "    <path d=\"M 58.523438 288.430125 \n",
@@ -8208,7 +8187,7 @@
        "  </g>\n",
        " </g>\n",
        " <defs>\n",
-       "  <clipPath id=\"p3a23227492\">\n",
+       "  <clipPath id=\"p9d943c5d0d\">\n",
        "   <rect x=\"58.523438\" y=\"22.318125\" width=\"357.12\" height=\"266.112\"/>\n",
        "  </clipPath>\n",
        " </defs>\n",
@@ -8236,7 +8215,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 36,
+   "execution_count": 112,
    "metadata": {},
    "outputs": [
     {
@@ -8245,7 +8224,7 @@
        "(0.0, 1.1)"
       ]
      },
-     "execution_count": 36,
+     "execution_count": 112,
      "metadata": {},
      "output_type": "execute_result"
     },
@@ -8260,7 +8239,7 @@
        "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2024-08-11T12:57:51.943626</dc:date>\n",
+       "    <dc:date>2024-09-30T21:35:10.620420</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
@@ -8294,93 +8273,93 @@
        "   <g id=\"patch_3\">\n",
        "    <path d=\"M 61.135852 288.430125 \n",
        "L 87.638264 288.430125 \n",
-       "L 87.638264 142.464381 \n",
-       "L 61.135852 142.464381 \n",
+       "L 87.638264 95.39285 \n",
+       "L 61.135852 95.39285 \n",
        "z\n",
-       "\" clip-path=\"url(#pa30545b326)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#pffd9ac7ee1)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_4\">\n",
        "    <path d=\"M 94.263867 288.430125 \n",
        "L 120.766279 288.430125 \n",
-       "L 120.766279 281.320663 \n",
-       "L 94.263867 281.320663 \n",
+       "L 120.766279 273.652251 \n",
+       "L 94.263867 273.652251 \n",
        "z\n",
-       "\" clip-path=\"url(#pa30545b326)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#pffd9ac7ee1)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_5\">\n",
        "    <path d=\"M 127.391882 288.430125 \n",
        "L 153.894294 288.430125 \n",
-       "L 153.894294 281.960561 \n",
-       "L 127.391882 281.960561 \n",
+       "L 153.894294 277.206062 \n",
+       "L 127.391882 277.206062 \n",
        "z\n",
-       "\" clip-path=\"url(#pa30545b326)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#pffd9ac7ee1)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_6\">\n",
        "    <path d=\"M 160.519897 288.430125 \n",
        "L 187.022309 288.430125 \n",
-       "L 187.022309 285.838502 \n",
-       "L 160.519897 285.838502 \n",
+       "L 187.022309 284.516258 \n",
+       "L 160.519897 284.516258 \n",
        "z\n",
-       "\" clip-path=\"url(#pa30545b326)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#pffd9ac7ee1)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_7\">\n",
        "    <path d=\"M 193.647912 288.430125 \n",
        "L 220.150324 288.430125 \n",
-       "L 220.150324 286.258374 \n",
-       "L 193.647912 286.258374 \n",
+       "L 220.150324 284.598817 \n",
+       "L 193.647912 284.598817 \n",
        "z\n",
-       "\" clip-path=\"url(#pa30545b326)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#pffd9ac7ee1)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_8\">\n",
        "    <path d=\"M 226.775926 288.430125 \n",
        "L 253.278338 288.430125 \n",
-       "L 253.278338 286.629883 \n",
-       "L 226.775926 286.629883 \n",
+       "L 253.278338 286.552208 \n",
+       "L 226.775926 286.552208 \n",
        "z\n",
-       "\" clip-path=\"url(#pa30545b326)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#pffd9ac7ee1)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_9\">\n",
        "    <path d=\"M 259.903941 288.430125 \n",
        "L 286.406353 288.430125 \n",
-       "L 286.406353 287.359502 \n",
-       "L 259.903941 287.359502 \n",
+       "L 286.406353 286.558008 \n",
+       "L 259.903941 286.558008 \n",
        "z\n",
-       "\" clip-path=\"url(#pa30545b326)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#pffd9ac7ee1)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_10\">\n",
        "    <path d=\"M 293.031956 288.430125 \n",
        "L 319.534368 288.430125 \n",
-       "L 319.534368 287.360253 \n",
-       "L 293.031956 287.360253 \n",
+       "L 319.534368 286.924542 \n",
+       "L 293.031956 286.924542 \n",
        "z\n",
-       "\" clip-path=\"url(#pa30545b326)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#pffd9ac7ee1)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_11\">\n",
        "    <path d=\"M 326.159971 288.430125 \n",
        "L 352.662383 288.430125 \n",
-       "L 352.662383 287.797816 \n",
-       "L 326.159971 287.797816 \n",
+       "L 352.662383 287.327525 \n",
+       "L 326.159971 287.327525 \n",
        "z\n",
-       "\" clip-path=\"url(#pa30545b326)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#pffd9ac7ee1)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_12\">\n",
        "    <path d=\"M 359.287986 288.430125 \n",
        "L 385.790398 288.430125 \n",
-       "L 385.790398 287.798586 \n",
-       "L 359.287986 287.798586 \n",
+       "L 385.790398 287.330092 \n",
+       "L 359.287986 287.330092 \n",
        "z\n",
-       "\" clip-path=\"url(#pa30545b326)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#pffd9ac7ee1)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"matplotlib.axis_1\">\n",
        "    <g id=\"xtick_1\">\n",
        "     <g id=\"line2d_1\">\n",
        "      <defs>\n",
-       "       <path id=\"m33d3918936\" d=\"M 0 0 \n",
+       "       <path id=\"m52cbaf761c\" d=\"M 0 0 \n",
        "L 0 3.5 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m33d3918936\" x=\"107.515073\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m52cbaf761c\" x=\"107.515073\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_1\">\n",
@@ -8419,7 +8398,7 @@
        "    <g id=\"xtick_2\">\n",
        "     <g id=\"line2d_2\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m33d3918936\" x=\"173.771103\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m52cbaf761c\" x=\"173.771103\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_2\">\n",
@@ -8453,7 +8432,7 @@
        "    <g id=\"xtick_3\">\n",
        "     <g id=\"line2d_3\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m33d3918936\" x=\"240.027132\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m52cbaf761c\" x=\"240.027132\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_3\">\n",
@@ -8498,7 +8477,7 @@
        "    <g id=\"xtick_4\">\n",
        "     <g id=\"line2d_4\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m33d3918936\" x=\"306.283162\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m52cbaf761c\" x=\"306.283162\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_4\">\n",
@@ -8552,7 +8531,7 @@
        "    <g id=\"xtick_5\">\n",
        "     <g id=\"line2d_5\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m33d3918936\" x=\"372.539192\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m52cbaf761c\" x=\"372.539192\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_5\">\n",
@@ -8923,12 +8902,12 @@
        "    <g id=\"ytick_1\">\n",
        "     <g id=\"line2d_6\">\n",
        "      <defs>\n",
-       "       <path id=\"m4d107c2872\" d=\"M 0 0 \n",
+       "       <path id=\"mbea131a893\" d=\"M 0 0 \n",
        "L -3.5 0 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m4d107c2872\" x=\"44.903125\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mbea131a893\" x=\"44.903125\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_7\">\n",
@@ -8952,7 +8931,7 @@
        "    <g id=\"ytick_2\">\n",
        "     <g id=\"line2d_7\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m4d107c2872\" x=\"44.903125\" y=\"240.046125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mbea131a893\" x=\"44.903125\" y=\"240.046125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_8\">\n",
@@ -8967,7 +8946,7 @@
        "    <g id=\"ytick_3\">\n",
        "     <g id=\"line2d_8\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m4d107c2872\" x=\"44.903125\" y=\"191.662125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mbea131a893\" x=\"44.903125\" y=\"191.662125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_9\">\n",
@@ -8982,7 +8961,7 @@
        "    <g id=\"ytick_4\">\n",
        "     <g id=\"line2d_9\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m4d107c2872\" x=\"44.903125\" y=\"143.278125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mbea131a893\" x=\"44.903125\" y=\"143.278125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_10\">\n",
@@ -8997,7 +8976,7 @@
        "    <g id=\"ytick_5\">\n",
        "     <g id=\"line2d_10\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m4d107c2872\" x=\"44.903125\" y=\"94.894125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mbea131a893\" x=\"44.903125\" y=\"94.894125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_11\">\n",
@@ -9012,7 +8991,7 @@
        "    <g id=\"ytick_6\">\n",
        "     <g id=\"line2d_11\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m4d107c2872\" x=\"44.903125\" y=\"46.510125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mbea131a893\" x=\"44.903125\" y=\"46.510125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_12\">\n",
@@ -9294,7 +9273,7 @@
        "  </g>\n",
        " </g>\n",
        " <defs>\n",
-       "  <clipPath id=\"pa30545b326\">\n",
+       "  <clipPath id=\"pffd9ac7ee1\">\n",
        "   <rect x=\"44.903125\" y=\"22.318125\" width=\"357.12\" height=\"266.112\"/>\n",
        "  </clipPath>\n",
        " </defs>\n",

From 65065c7e27e0f18e06ea34f70ac676c5bae69773 Mon Sep 17 00:00:00 2001
From: Jan Viatteau <viatteau.jan@gmail.com>
Date: Wed, 2 Oct 2024 12:34:55 +0200
Subject: [PATCH 5/5] Changed phase removal and updated example notebook
 accordingly

---
 FrequencyConversion/FC_solve_EoM.py         |    9 +-
 FrequencyConversion/example_solve_EoM.ipynb | 2872 +++++++++----------
 2 files changed, 1425 insertions(+), 1456 deletions(-)

diff --git a/FrequencyConversion/FC_solve_EoM.py b/FrequencyConversion/FC_solve_EoM.py
index 0660499..ed63112 100644
--- a/FrequencyConversion/FC_solve_EoM.py
+++ b/FrequencyConversion/FC_solve_EoM.py
@@ -153,10 +153,11 @@ def remove_phases(prop, dw, L, vp, va, vc):
     # separate into blocks
     Ua, Va, Vc, Uc = get_blocks(prop)
     # remove phases
-    Uc = np.diag(np.exp(1j * dw * kc * L)) @ Uc
-    Vc = np.diag(np.exp(1j * dw * kc * L)) @ Vc
-    Va = np.diag(np.exp(-1j * dw * ka * L)) @ Va
-    Ua = np.diag(np.exp(-1j * dw * ka * L)) @ Ua
+    Ua = np.diag(np.exp(-1j * dw * ka * L / 2)) @ Ua @ np.diag(np.exp(-1j * dw * ka * L / 2))
+    Va = np.diag(np.exp(-1j * dw * ka * L / 2)) @ Va @ np.diag(np.exp(1j * dw * kc * L / 2))
+    Vc = np.diag(np.exp(1j * dw * kc * L / 2)) @ Vc @ np.diag(np.exp(-1j * dw * ka * L / 2))
+    Uc = np.diag(np.exp(1j * dw * kc * L / 2)) @ Uc @ np.diag(np.exp(1j * dw * kc * L / 2))
+    
     return np.block([[Ua, Va], [Vc, Uc]])
 
 
diff --git a/FrequencyConversion/example_solve_EoM.ipynb b/FrequencyConversion/example_solve_EoM.ipynb
index 4531f6a..7cab520 100644
--- a/FrequencyConversion/example_solve_EoM.ipynb
+++ b/FrequencyConversion/example_solve_EoM.ipynb
@@ -9,7 +9,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 97,
+   "execution_count": 23,
    "metadata": {},
    "outputs": [
     {
@@ -40,7 +40,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 98,
+   "execution_count": 24,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -59,16 +59,17 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "We then generate the propagator by calling the appropriate function."
+    "We then generate the propagator by calling the appropriate function. We then remove its free propagation phases, so we change back to the original electric field operators."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 99,
+   "execution_count": 25,
    "metadata": {},
    "outputs": [],
    "source": [
-    "_, prop = get_prop(dw, vp, va, vc, pump, L)  # Matrix to exponentiate and propagator"
+    "_, prop = get_prop(dw, vp, va, vc, pump, L)  # Matrix to exponentiate and propagator\n",
+    "prop = remove_phases(prop, dw, L, vp, va, vc)"
    ]
   },
   {
@@ -80,7 +81,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 100,
+   "execution_count": 26,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -91,16 +92,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 101,
+   "execution_count": 27,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<matplotlib.legend.Legend at 0x1fb0dd74310>"
+       "<matplotlib.legend.Legend at 0x1bb102b67d0>"
       ]
      },
-     "execution_count": 101,
+     "execution_count": 27,
      "metadata": {},
      "output_type": "execute_result"
     },
@@ -115,7 +116,7 @@
        "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2024-09-30T21:35:08.946848</dc:date>\n",
+       "    <dc:date>2024-10-02T12:33:24.451744</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
@@ -150,12 +151,12 @@
        "    <g id=\"xtick_1\">\n",
        "     <g id=\"line2d_1\">\n",
        "      <defs>\n",
-       "       <path id=\"m4e93110781\" d=\"M 0 0 \n",
+       "       <path id=\"m57165280d5\" d=\"M 0 0 \n",
        "L 0 3.5 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m4e93110781\" x=\"60.013977\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m57165280d5\" x=\"60.013977\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_1\">\n",
@@ -223,7 +224,7 @@
        "    <g id=\"xtick_2\">\n",
        "     <g id=\"line2d_2\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m4e93110781\" x=\"100.595795\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m57165280d5\" x=\"100.595795\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_2\">\n",
@@ -276,7 +277,7 @@
        "    <g id=\"xtick_3\">\n",
        "     <g id=\"line2d_3\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m4e93110781\" x=\"141.177614\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m57165280d5\" x=\"141.177614\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_3\">\n",
@@ -292,7 +293,7 @@
        "    <g id=\"xtick_4\">\n",
        "     <g id=\"line2d_4\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m4e93110781\" x=\"181.759432\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m57165280d5\" x=\"181.759432\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_4\">\n",
@@ -334,7 +335,7 @@
        "    <g id=\"xtick_5\">\n",
        "     <g id=\"line2d_5\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m4e93110781\" x=\"222.34125\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m57165280d5\" x=\"222.34125\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_5\">\n",
@@ -349,7 +350,7 @@
        "    <g id=\"xtick_6\">\n",
        "     <g id=\"line2d_6\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m4e93110781\" x=\"262.923068\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m57165280d5\" x=\"262.923068\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_6\">\n",
@@ -364,7 +365,7 @@
        "    <g id=\"xtick_7\">\n",
        "     <g id=\"line2d_7\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m4e93110781\" x=\"303.504886\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m57165280d5\" x=\"303.504886\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_7\">\n",
@@ -379,7 +380,7 @@
        "    <g id=\"xtick_8\">\n",
        "     <g id=\"line2d_8\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m4e93110781\" x=\"344.086705\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m57165280d5\" x=\"344.086705\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_8\">\n",
@@ -394,7 +395,7 @@
        "    <g id=\"xtick_9\">\n",
        "     <g id=\"line2d_9\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m4e93110781\" x=\"384.668523\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m57165280d5\" x=\"384.668523\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_9\">\n",
@@ -412,12 +413,12 @@
        "    <g id=\"ytick_1\">\n",
        "     <g id=\"line2d_10\">\n",
        "      <defs>\n",
-       "       <path id=\"m12dae59290\" d=\"M 0 0 \n",
+       "       <path id=\"me227fc45f4\" d=\"M 0 0 \n",
        "L -3.5 0 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m12dae59290\" x=\"43.78125\" y=\"276.334125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#me227fc45f4\" x=\"43.78125\" y=\"276.334125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_10\">\n",
@@ -432,7 +433,7 @@
        "    <g id=\"ytick_2\">\n",
        "     <g id=\"line2d_11\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m12dae59290\" x=\"43.78125\" y=\"242.554441\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#me227fc45f4\" x=\"43.78125\" y=\"242.554441\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_11\">\n",
@@ -447,7 +448,7 @@
        "    <g id=\"ytick_3\">\n",
        "     <g id=\"line2d_12\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m12dae59290\" x=\"43.78125\" y=\"208.774757\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#me227fc45f4\" x=\"43.78125\" y=\"208.774757\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_12\">\n",
@@ -462,7 +463,7 @@
        "    <g id=\"ytick_4\">\n",
        "     <g id=\"line2d_13\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m12dae59290\" x=\"43.78125\" y=\"174.995073\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#me227fc45f4\" x=\"43.78125\" y=\"174.995073\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_13\">\n",
@@ -511,7 +512,7 @@
        "    <g id=\"ytick_5\">\n",
        "     <g id=\"line2d_14\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m12dae59290\" x=\"43.78125\" y=\"141.215388\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#me227fc45f4\" x=\"43.78125\" y=\"141.215388\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_14\">\n",
@@ -547,7 +548,7 @@
        "    <g id=\"ytick_6\">\n",
        "     <g id=\"line2d_15\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m12dae59290\" x=\"43.78125\" y=\"107.435704\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#me227fc45f4\" x=\"43.78125\" y=\"107.435704\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_15\">\n",
@@ -562,7 +563,7 @@
        "    <g id=\"ytick_7\">\n",
        "     <g id=\"line2d_16\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m12dae59290\" x=\"43.78125\" y=\"73.65602\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#me227fc45f4\" x=\"43.78125\" y=\"73.65602\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_16\">\n",
@@ -609,7 +610,7 @@
        "    <g id=\"ytick_8\">\n",
        "     <g id=\"line2d_17\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m12dae59290\" x=\"43.78125\" y=\"39.876336\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#me227fc45f4\" x=\"43.78125\" y=\"39.876336\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_17\">\n",
@@ -828,7 +829,7 @@
        "    <path d=\"M 60.013977 276.334125 \n",
        "L 384.668523 276.334125 \n",
        "L 384.668523 276.334125 \n",
-       "\" clip-path=\"url(#p4f27fe16c2)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#p87a02a93d6)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"line2d_19\">\n",
        "    <path d=\"M 60.013977 276.334125 \n",
@@ -864,7 +865,7 @@
        "L 321.901977 276.334125 \n",
        "L 384.668523 276.334125 \n",
        "L 384.668523 276.334125 \n",
-       "\" clip-path=\"url(#p4f27fe16c2)\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#p87a02a93d6)\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"line2d_20\">\n",
        "    <path d=\"M 60.013977 276.334125 \n",
@@ -939,7 +940,7 @@
        "L 311.080159 276.333076 \n",
        "L 384.668523 276.334125 \n",
        "L 384.668523 276.334125 \n",
-       "\" clip-path=\"url(#p4f27fe16c2)\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "\" clip-path=\"url(#p87a02a93d6)\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_3\">\n",
        "    <path d=\"M 43.78125 288.430125 \n",
@@ -1310,7 +1311,7 @@
        "  </g>\n",
        " </g>\n",
        " <defs>\n",
-       "  <clipPath id=\"p4f27fe16c2\">\n",
+       "  <clipPath id=\"p87a02a93d6\">\n",
        "   <rect x=\"43.78125\" y=\"22.318125\" width=\"357.12\" height=\"266.112\"/>\n",
        "  </clipPath>\n",
        " </defs>\n",
@@ -1342,17 +1343,19 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 102,
+   "execution_count": 28,
    "metadata": {},
    "outputs": [],
    "source": [
-    "sol = remove_phases(prop, dw, L, vp, va, vc) @ np.concatenate((initial_Ea, initial_Ec))\n",
+    "kc = 1 / vp - 1 / vc\n",
+    "ka = 1 / va - 1 / vp\n",
+    "sol = prop @ np.concatenate((initial_Ea, initial_Ec))\n",
     "Ea, Ec = np.split(sol, 2)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 103,
+   "execution_count": 29,
    "metadata": {},
    "outputs": [
     {
@@ -1361,7 +1364,7 @@
        "Text(0.5, 1.0, 'a beam / down-converted beam')"
       ]
      },
-     "execution_count": 103,
+     "execution_count": 29,
      "metadata": {},
      "output_type": "execute_result"
     },
@@ -1376,7 +1379,7 @@
        "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2024-09-30T21:35:09.214932</dc:date>\n",
+       "    <dc:date>2024-10-02T12:33:24.720872</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
@@ -1411,12 +1414,12 @@
        "    <g id=\"xtick_1\">\n",
        "     <g id=\"line2d_1\">\n",
        "      <defs>\n",
-       "       <path id=\"m93e7985aad\" d=\"M 0 0 \n",
+       "       <path id=\"m213e3e527b\" d=\"M 0 0 \n",
        "L 0 3.5 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m93e7985aad\" x=\"74.756165\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m213e3e527b\" x=\"74.756165\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_1\">\n",
@@ -1484,7 +1487,7 @@
        "    <g id=\"xtick_2\">\n",
        "     <g id=\"line2d_2\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m93e7985aad\" x=\"115.337983\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m213e3e527b\" x=\"115.337983\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_2\">\n",
@@ -1537,7 +1540,7 @@
        "    <g id=\"xtick_3\">\n",
        "     <g id=\"line2d_3\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m93e7985aad\" x=\"155.919801\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m213e3e527b\" x=\"155.919801\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_3\">\n",
@@ -1553,7 +1556,7 @@
        "    <g id=\"xtick_4\">\n",
        "     <g id=\"line2d_4\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m93e7985aad\" x=\"196.501619\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m213e3e527b\" x=\"196.501619\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_4\">\n",
@@ -1595,7 +1598,7 @@
        "    <g id=\"xtick_5\">\n",
        "     <g id=\"line2d_5\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m93e7985aad\" x=\"237.083438\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m213e3e527b\" x=\"237.083438\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_5\">\n",
@@ -1610,7 +1613,7 @@
        "    <g id=\"xtick_6\">\n",
        "     <g id=\"line2d_6\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m93e7985aad\" x=\"277.665256\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m213e3e527b\" x=\"277.665256\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_6\">\n",
@@ -1625,7 +1628,7 @@
        "    <g id=\"xtick_7\">\n",
        "     <g id=\"line2d_7\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m93e7985aad\" x=\"318.247074\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m213e3e527b\" x=\"318.247074\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_7\">\n",
@@ -1640,7 +1643,7 @@
        "    <g id=\"xtick_8\">\n",
        "     <g id=\"line2d_8\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m93e7985aad\" x=\"358.828892\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m213e3e527b\" x=\"358.828892\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_8\">\n",
@@ -1655,7 +1658,7 @@
        "    <g id=\"xtick_9\">\n",
        "     <g id=\"line2d_9\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m93e7985aad\" x=\"399.41071\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m213e3e527b\" x=\"399.41071\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_9\">\n",
@@ -1729,49 +1732,100 @@
        "    <g id=\"ytick_1\">\n",
        "     <g id=\"line2d_10\">\n",
        "      <defs>\n",
-       "       <path id=\"m97087f32b5\" d=\"M 0 0 \n",
+       "       <path id=\"m38f42e4c31\" d=\"M 0 0 \n",
        "L -3.5 0 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m97087f32b5\" x=\"58.523438\" y=\"261.496373\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m38f42e4c31\" x=\"58.523438\" y=\"262.374373\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_11\">\n",
-       "      <!-- −0.02 -->\n",
-       "      <g transform=\"translate(20.878125 265.295592) scale(0.1 -0.1)\">\n",
+       "      <!-- −0.03 -->\n",
+       "      <g transform=\"translate(20.878125 266.173591) scale(0.1 -0.1)\">\n",
+       "       <defs>\n",
+       "        <path id=\"DejaVuSans-33\" d=\"M 2597 2516 \n",
+       "Q 3050 2419 3304 2112 \n",
+       "Q 3559 1806 3559 1356 \n",
+       "Q 3559 666 3084 287 \n",
+       "Q 2609 -91 1734 -91 \n",
+       "Q 1441 -91 1130 -33 \n",
+       "Q 819 25 488 141 \n",
+       "L 488 750 \n",
+       "Q 750 597 1062 519 \n",
+       "Q 1375 441 1716 441 \n",
+       "Q 2309 441 2620 675 \n",
+       "Q 2931 909 2931 1356 \n",
+       "Q 2931 1769 2642 2001 \n",
+       "Q 2353 2234 1838 2234 \n",
+       "L 1294 2234 \n",
+       "L 1294 2753 \n",
+       "L 1863 2753 \n",
+       "Q 2328 2753 2575 2939 \n",
+       "Q 2822 3125 2822 3475 \n",
+       "Q 2822 3834 2567 4026 \n",
+       "Q 2313 4219 1838 4219 \n",
+       "Q 1578 4219 1281 4162 \n",
+       "Q 984 4106 628 3988 \n",
+       "L 628 4550 \n",
+       "Q 988 4650 1302 4700 \n",
+       "Q 1616 4750 1894 4750 \n",
+       "Q 2613 4750 3031 4423 \n",
+       "Q 3450 4097 3450 3541 \n",
+       "Q 3450 3153 3228 2886 \n",
+       "Q 3006 2619 2597 2516 \n",
+       "z\n",
+       "\" transform=\"scale(0.015625)\"/>\n",
+       "       </defs>\n",
        "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"83.789062\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"179.199219\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-32\" x=\"242.822266\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-33\" x=\"242.822266\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"ytick_2\">\n",
        "     <g id=\"line2d_11\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m97087f32b5\" x=\"58.523438\" y=\"208.435249\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m38f42e4c31\" x=\"58.523438\" y=\"226.707623\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_12\">\n",
-       "      <!-- −0.01 -->\n",
-       "      <g transform=\"translate(20.878125 212.234468) scale(0.1 -0.1)\">\n",
+       "      <!-- −0.02 -->\n",
+       "      <g transform=\"translate(20.878125 230.506842) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"83.789062\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"179.199219\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-31\" x=\"242.822266\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-32\" x=\"242.822266\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"ytick_3\">\n",
        "     <g id=\"line2d_12\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m97087f32b5\" x=\"58.523438\" y=\"155.374125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m38f42e4c31\" x=\"58.523438\" y=\"191.040874\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_13\">\n",
+       "      <!-- −0.01 -->\n",
+       "      <g transform=\"translate(20.878125 194.840093) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"179.199219\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-31\" x=\"242.822266\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_4\">\n",
+       "     <g id=\"line2d_13\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m38f42e4c31\" x=\"58.523438\" y=\"155.374125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_14\">\n",
        "      <!-- 0.00 -->\n",
        "      <g transform=\"translate(29.257813 159.173344) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
@@ -1781,15 +1835,15 @@
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"ytick_4\">\n",
-       "     <g id=\"line2d_13\">\n",
+       "    <g id=\"ytick_5\">\n",
+       "     <g id=\"line2d_14\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m97087f32b5\" x=\"58.523438\" y=\"102.313001\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m38f42e4c31\" x=\"58.523438\" y=\"119.707376\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
-       "     <g id=\"text_14\">\n",
+       "     <g id=\"text_15\">\n",
        "      <!-- 0.01 -->\n",
-       "      <g transform=\"translate(29.257813 106.11222) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(29.257813 123.506595) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
@@ -1797,15 +1851,15 @@
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"ytick_5\">\n",
-       "     <g id=\"line2d_14\">\n",
+       "    <g id=\"ytick_6\">\n",
+       "     <g id=\"line2d_15\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m97087f32b5\" x=\"58.523438\" y=\"49.251877\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m38f42e4c31\" x=\"58.523438\" y=\"84.040627\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
-       "     <g id=\"text_15\">\n",
+       "     <g id=\"text_16\">\n",
        "      <!-- 0.02 -->\n",
-       "      <g transform=\"translate(29.257813 53.051096) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(29.257813 87.839845) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
@@ -1813,7 +1867,23 @@
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"text_16\">\n",
+       "    <g id=\"ytick_7\">\n",
+       "     <g id=\"line2d_16\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m38f42e4c31\" x=\"58.523438\" y=\"48.373877\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_17\">\n",
+       "      <!-- 0.03 -->\n",
+       "      <g transform=\"translate(29.257813 52.173096) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-33\" x=\"159.033203\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"text_18\">\n",
        "     <!-- Amplitude -->\n",
        "     <g transform=\"translate(14.798438 180.996781) rotate(-90) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
@@ -2016,234 +2086,216 @@
        "     </g>\n",
        "    </g>\n",
        "   </g>\n",
-       "   <g id=\"line2d_15\">\n",
-       "    <path d=\"M 74.756165 155.374122 \n",
-       "L 152.673256 155.279403 \n",
-       "L 167.823801 154.846665 \n",
-       "L 172.152528 154.617054 \n",
-       "L 174.316892 154.364932 \n",
-       "L 176.481256 153.938577 \n",
-       "L 178.645619 153.266056 \n",
-       "L 180.809983 152.281577 \n",
-       "L 182.974347 150.941644 \n",
-       "L 185.13871 149.241874 \n",
-       "L 187.303074 147.230161 \n",
-       "L 194.878347 139.620785 \n",
-       "L 197.04271 137.964774 \n",
-       "L 199.207074 136.741445 \n",
-       "L 201.371438 135.90823 \n",
-       "L 205.700165 134.601632 \n",
-       "L 206.782347 134.11645 \n",
-       "L 207.864528 133.475573 \n",
-       "L 208.94671 132.635707 \n",
-       "L 210.028892 131.56016 \n",
-       "L 211.111074 130.222051 \n",
-       "L 212.193256 128.607327 \n",
-       "L 213.275438 126.717378 \n",
-       "L 215.439801 122.205996 \n",
-       "L 220.85071 109.684289 \n",
-       "L 221.932892 107.759894 \n",
-       "L 223.015074 106.30525 \n",
-       "L 224.097256 105.436877 \n",
-       "L 225.179437 105.260234 \n",
-       "L 226.261619 105.864131 \n",
-       "L 227.343801 107.315649 \n",
-       "L 228.425983 109.655831 \n",
-       "L 229.508165 112.896431 \n",
-       "L 230.590347 117.017927 \n",
-       "L 231.672528 121.968939 \n",
-       "L 232.75471 127.667147 \n",
-       "L 234.919074 140.836895 \n",
-       "L 240.329983 176.746574 \n",
-       "L 242.494347 188.779311 \n",
-       "L 243.576528 193.730323 \n",
-       "L 244.65871 197.851819 \n",
-       "L 245.740892 201.092419 \n",
-       "L 246.823074 203.432601 \n",
-       "L 247.905256 204.884119 \n",
-       "L 248.987437 205.488016 \n",
-       "L 250.069619 205.311373 \n",
-       "L 251.151801 204.443 \n",
-       "L 252.233983 202.988356 \n",
-       "L 253.316165 201.063961 \n",
-       "L 255.480528 196.292867 \n",
-       "L 258.727074 188.542254 \n",
-       "L 260.891437 184.030872 \n",
-       "L 261.973619 182.140923 \n",
-       "L 263.055801 180.526199 \n",
-       "L 264.137983 179.18809 \n",
-       "L 265.220165 178.112543 \n",
-       "L 266.302347 177.272677 \n",
-       "L 267.384528 176.6318 \n",
-       "L 269.548892 175.77045 \n",
-       "L 273.877619 174.464431 \n",
-       "L 276.041983 173.44955 \n",
-       "L 278.206347 172.00742 \n",
-       "L 280.37071 170.155847 \n",
-       "L 283.617256 166.877434 \n",
-       "L 286.863801 163.518089 \n",
-       "L 289.028165 161.506376 \n",
-       "L 291.192528 159.806606 \n",
-       "L 293.356892 158.466673 \n",
-       "L 295.521256 157.482194 \n",
-       "L 297.685619 156.809673 \n",
-       "L 299.849983 156.383318 \n",
-       "L 303.096528 156.049504 \n",
-       "L 308.507438 155.8378 \n",
-       "L 327.98671 155.387651 \n",
-       "L 352.876892 155.376876 \n",
-       "L 399.41071 155.374128 \n",
-       "L 399.41071 155.374128 \n",
-       "\" clip-path=\"url(#pdc7274dfcd)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "   <g id=\"line2d_17\">\n",
+       "    <path d=\"M 74.756165 155.374123 \n",
+       "L 159.166347 155.26448 \n",
+       "L 171.070347 155.196362 \n",
+       "L 175.399074 155.380329 \n",
+       "L 178.645619 155.706297 \n",
+       "L 181.892165 156.270942 \n",
+       "L 184.056528 156.816415 \n",
+       "L 186.220892 157.521018 \n",
+       "L 188.385256 158.401566 \n",
+       "L 190.549619 159.46936 \n",
+       "L 192.713983 160.728033 \n",
+       "L 195.960528 162.957462 \n",
+       "L 199.207074 165.529268 \n",
+       "L 208.94671 173.611567 \n",
+       "L 211.111074 175.010887 \n",
+       "L 213.275438 176.081323 \n",
+       "L 215.439801 176.74103 \n",
+       "L 216.521983 176.89402 \n",
+       "L 217.604165 176.918697 \n",
+       "L 218.686347 176.808646 \n",
+       "L 219.768528 176.558726 \n",
+       "L 220.85071 176.1652 \n",
+       "L 221.932892 175.625839 \n",
+       "L 223.015074 174.940009 \n",
+       "L 224.097256 174.108732 \n",
+       "L 226.261619 172.02241 \n",
+       "L 228.425983 169.408964 \n",
+       "L 230.590347 166.336636 \n",
+       "L 232.75471 162.897151 \n",
+       "L 236.001256 157.296102 \n",
+       "L 241.412165 147.851099 \n",
+       "L 243.576528 144.411614 \n",
+       "L 245.740892 141.339286 \n",
+       "L 247.905256 138.72584 \n",
+       "L 250.069619 136.639518 \n",
+       "L 251.151801 135.808241 \n",
+       "L 252.233983 135.122411 \n",
+       "L 253.316165 134.58305 \n",
+       "L 254.398347 134.189524 \n",
+       "L 255.480528 133.939604 \n",
+       "L 256.56271 133.829553 \n",
+       "L 257.644892 133.85423 \n",
+       "L 258.727074 134.00722 \n",
+       "L 260.891437 134.666927 \n",
+       "L 263.055801 135.737363 \n",
+       "L 265.220165 137.136683 \n",
+       "L 268.46671 139.661767 \n",
+       "L 278.206347 147.790788 \n",
+       "L 281.452892 150.020217 \n",
+       "L 283.617256 151.27889 \n",
+       "L 285.781619 152.346684 \n",
+       "L 287.945983 153.227232 \n",
+       "L 290.110347 153.931835 \n",
+       "L 293.356892 154.696622 \n",
+       "L 296.603437 155.173499 \n",
+       "L 299.849983 155.435978 \n",
+       "L 304.17871 155.568069 \n",
+       "L 311.753983 155.528089 \n",
+       "L 330.151074 155.375282 \n",
+       "L 399.41071 155.374127 \n",
+       "L 399.41071 155.374127 \n",
+       "\" clip-path=\"url(#p13c894111b)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "   </g>\n",
-       "   <g id=\"line2d_16\">\n",
-       "    <path d=\"M 74.756165 155.374121 \n",
-       "L 164.577256 155.48124 \n",
-       "L 169.988165 155.481865 \n",
-       "L 174.316892 155.220379 \n",
-       "L 181.892165 154.505168 \n",
-       "L 184.056528 154.592112 \n",
-       "L 186.220892 155.031277 \n",
-       "L 187.303074 155.42357 \n",
-       "L 188.385256 155.949454 \n",
-       "L 189.467437 156.61915 \n",
-       "L 190.549619 157.438913 \n",
-       "L 192.713983 159.52945 \n",
-       "L 194.878347 162.167725 \n",
-       "L 197.04271 165.21172 \n",
-       "L 202.453619 173.115755 \n",
-       "L 204.617983 175.808842 \n",
-       "L 206.782347 178.073892 \n",
-       "L 212.193256 183.094182 \n",
-       "L 213.275438 184.405126 \n",
-       "L 214.357619 185.982511 \n",
-       "L 215.439801 187.900935 \n",
-       "L 216.521983 190.229896 \n",
-       "L 217.604165 193.029321 \n",
-       "L 218.686347 196.345191 \n",
-       "L 219.768528 200.205492 \n",
-       "L 220.85071 204.616779 \n",
-       "L 223.015074 214.996699 \n",
-       "L 225.179437 227.036412 \n",
-       "L 229.508165 252.433613 \n",
-       "L 231.672528 263.365564 \n",
-       "L 232.75471 267.838797 \n",
-       "L 233.836892 271.467879 \n",
-       "L 234.919074 274.143018 \n",
-       "L 236.001256 275.782046 \n",
+       "   <g id=\"line2d_18\">\n",
+       "    <path d=\"M 74.756165 155.374123 \n",
+       "L 163.495074 155.481182 \n",
+       "L 171.070347 155.412213 \n",
+       "L 175.399074 155.1411 \n",
+       "L 178.645619 154.730652 \n",
+       "L 181.892165 154.094437 \n",
+       "L 185.13871 153.231776 \n",
+       "L 192.713983 150.986367 \n",
+       "L 194.878347 150.651784 \n",
+       "L 195.960528 150.61633 \n",
+       "L 197.04271 150.696729 \n",
+       "L 198.124892 150.915686 \n",
+       "L 199.207074 151.296947 \n",
+       "L 200.289256 151.864936 \n",
+       "L 201.371438 152.644328 \n",
+       "L 202.453619 153.659571 \n",
+       "L 203.535801 154.934351 \n",
+       "L 204.617983 156.491012 \n",
+       "L 205.700165 158.349954 \n",
+       "L 206.782347 160.529004 \n",
+       "L 207.864528 163.042782 \n",
+       "L 208.94671 165.902086 \n",
+       "L 210.028892 169.113299 \n",
+       "L 212.193256 176.591715 \n",
+       "L 214.357619 185.421906 \n",
+       "L 216.521983 195.450551 \n",
+       "L 219.768528 212.157976 \n",
+       "L 225.179437 241.11915 \n",
+       "L 227.343801 251.670192 \n",
+       "L 229.508165 260.859532 \n",
+       "L 230.590347 264.794347 \n",
+       "L 231.672528 268.218416 \n",
+       "L 232.75471 271.085931 \n",
+       "L 233.836892 273.358066 \n",
+       "L 234.919074 275.003765 \n",
+       "L 236.001256 276.000379 \n",
        "L 237.083438 276.334125 \n",
-       "L 238.165619 275.782046 \n",
-       "L 239.247801 274.143018 \n",
-       "L 240.329983 271.467879 \n",
-       "L 241.412165 267.838797 \n",
-       "L 242.494347 263.365564 \n",
-       "L 243.576528 258.180697 \n",
-       "L 245.740892 246.284172 \n",
-       "L 251.151801 214.996699 \n",
-       "L 253.316165 204.616779 \n",
-       "L 254.398347 200.205492 \n",
-       "L 255.480528 196.345191 \n",
-       "L 256.56271 193.029321 \n",
-       "L 257.644892 190.229896 \n",
-       "L 258.727074 187.900935 \n",
-       "L 259.809256 185.982511 \n",
-       "L 260.891437 184.405126 \n",
-       "L 261.973619 183.094182 \n",
-       "L 264.137983 180.973205 \n",
-       "L 267.384528 178.073892 \n",
-       "L 269.548892 175.808842 \n",
-       "L 271.713256 173.115755 \n",
-       "L 273.877619 170.057227 \n",
-       "L 279.288528 162.167725 \n",
-       "L 281.452892 159.52945 \n",
-       "L 283.617256 157.438913 \n",
-       "L 284.699437 156.61915 \n",
-       "L 285.781619 155.949454 \n",
-       "L 286.863801 155.42357 \n",
-       "L 287.945983 155.031277 \n",
-       "L 290.110347 154.592112 \n",
-       "L 292.27471 154.505168 \n",
-       "L 295.521256 154.746859 \n",
-       "L 302.014347 155.386875 \n",
-       "L 306.343074 155.513167 \n",
-       "L 313.918347 155.39269 \n",
-       "L 322.575801 155.332756 \n",
-       "L 364.780892 155.374032 \n",
-       "L 399.41071 155.374121 \n",
-       "L 399.41071 155.374121 \n",
-       "\" clip-path=\"url(#pdc7274dfcd)\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "L 238.165619 276.000379 \n",
+       "L 239.247801 275.003765 \n",
+       "L 240.329983 273.358066 \n",
+       "L 241.412165 271.085931 \n",
+       "L 242.494347 268.218416 \n",
+       "L 243.576528 264.794347 \n",
+       "L 244.65871 260.859532 \n",
+       "L 246.823074 251.670192 \n",
+       "L 248.987437 241.11915 \n",
+       "L 252.233983 223.864244 \n",
+       "L 256.56271 200.838724 \n",
+       "L 258.727074 190.299958 \n",
+       "L 260.891437 180.845061 \n",
+       "L 263.055801 172.677846 \n",
+       "L 265.220165 165.902086 \n",
+       "L 266.302347 163.042782 \n",
+       "L 267.384528 160.529004 \n",
+       "L 268.46671 158.349954 \n",
+       "L 269.548892 156.491012 \n",
+       "L 270.631074 154.934351 \n",
+       "L 271.713256 153.659571 \n",
+       "L 272.795437 152.644328 \n",
+       "L 273.877619 151.864936 \n",
+       "L 274.959801 151.296947 \n",
+       "L 276.041983 150.915686 \n",
+       "L 277.124165 150.696729 \n",
+       "L 278.206347 150.61633 \n",
+       "L 280.37071 150.781727 \n",
+       "L 282.535074 151.247659 \n",
+       "L 286.863801 152.56429 \n",
+       "L 291.192528 153.830226 \n",
+       "L 294.439074 154.544868 \n",
+       "L 297.685619 155.027277 \n",
+       "L 300.932165 155.309278 \n",
+       "L 305.260892 155.466526 \n",
+       "L 312.836165 155.46543 \n",
+       "L 335.561983 155.378072 \n",
+       "L 399.41071 155.374123 \n",
+       "L 399.41071 155.374123 \n",
+       "\" clip-path=\"url(#p13c894111b)\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "   </g>\n",
-       "   <g id=\"line2d_17\">\n",
-       "    <path d=\"M 74.756165 155.37412 \n",
-       "L 152.673256 155.26981 \n",
-       "L 164.577256 154.927425 \n",
-       "L 172.152528 154.616947 \n",
-       "L 174.316892 154.353288 \n",
-       "L 176.481256 153.889081 \n",
-       "L 178.645619 153.174712 \n",
-       "L 180.809983 152.174076 \n",
-       "L 182.974347 150.858789 \n",
-       "L 185.13871 149.211127 \n",
-       "L 187.303074 147.230011 \n",
-       "L 189.467437 144.936781 \n",
-       "L 192.713983 141.023821 \n",
-       "L 201.371438 130.017963 \n",
-       "L 204.617983 126.502205 \n",
-       "L 207.864528 123.106107 \n",
-       "L 210.028892 120.411032 \n",
-       "L 211.111074 118.765443 \n",
-       "L 212.193256 116.840204 \n",
-       "L 213.275438 114.581869 \n",
-       "L 214.357619 111.94946 \n",
-       "L 215.439801 108.918574 \n",
-       "L 216.521983 105.483462 \n",
-       "L 218.686347 97.469275 \n",
-       "L 220.85071 88.199724 \n",
-       "L 228.425983 53.615592 \n",
-       "L 230.590347 45.645418 \n",
-       "L 231.672528 42.334055 \n",
-       "L 232.75471 39.546757 \n",
-       "L 233.836892 37.329467 \n",
-       "L 234.919074 35.718866 \n",
-       "L 236.001256 34.741672 \n",
+       "   <g id=\"line2d_19\">\n",
+       "    <path d=\"M 74.756165 155.374123 \n",
+       "L 157.001983 155.274963 \n",
+       "L 169.988165 155.167821 \n",
+       "L 174.316892 155.221331 \n",
+       "L 176.481256 155.015064 \n",
+       "L 179.727801 154.410812 \n",
+       "L 181.892165 153.811473 \n",
+       "L 184.056528 153.042241 \n",
+       "L 186.220892 152.101525 \n",
+       "L 189.467437 150.400063 \n",
+       "L 193.796165 147.775894 \n",
+       "L 202.453619 142.328535 \n",
+       "L 204.617983 140.531648 \n",
+       "L 205.700165 139.382447 \n",
+       "L 206.782347 137.995712 \n",
+       "L 207.864528 136.32111 \n",
+       "L 208.94671 134.316057 \n",
+       "L 210.028892 131.949069 \n",
+       "L 211.111074 129.201216 \n",
+       "L 212.193256 126.065945 \n",
+       "L 214.357619 118.661859 \n",
+       "L 216.521983 109.885382 \n",
+       "L 218.686347 100.007423 \n",
+       "L 223.015074 78.497395 \n",
+       "L 226.261619 62.707071 \n",
+       "L 228.425983 53.312809 \n",
+       "L 230.590347 45.406122 \n",
+       "L 231.672528 42.148723 \n",
+       "L 232.75471 39.418022 \n",
+       "L 233.836892 37.252593 \n",
+       "L 234.919074 35.683276 \n",
+       "L 236.001256 34.73256 \n",
        "L 237.083438 34.414125 \n",
-       "L 238.165619 34.741672 \n",
-       "L 239.247801 35.718866 \n",
-       "L 240.329983 37.329467 \n",
-       "L 241.412165 39.546757 \n",
-       "L 242.494347 42.334055 \n",
-       "L 243.576528 45.645418 \n",
-       "L 244.65871 49.426503 \n",
-       "L 246.823074 58.144725 \n",
-       "L 250.069619 73.025956 \n",
-       "L 253.316165 88.199724 \n",
-       "L 255.480528 97.469275 \n",
-       "L 257.644892 105.483462 \n",
-       "L 258.727074 108.918574 \n",
-       "L 259.809256 111.94946 \n",
-       "L 260.891437 114.581869 \n",
-       "L 261.973619 116.840204 \n",
-       "L 263.055801 118.765443 \n",
-       "L 264.137983 120.411032 \n",
-       "L 266.302347 123.106107 \n",
-       "L 274.959801 132.613167 \n",
-       "L 279.288528 138.218347 \n",
-       "L 282.535074 142.379235 \n",
-       "L 284.699437 144.936781 \n",
-       "L 286.863801 147.230011 \n",
-       "L 289.028165 149.211127 \n",
-       "L 291.192528 150.858789 \n",
-       "L 293.356892 152.174076 \n",
-       "L 295.521256 153.174712 \n",
-       "L 297.685619 153.889081 \n",
-       "L 299.849983 154.353288 \n",
-       "L 302.014347 154.616947 \n",
-       "L 306.343074 154.828647 \n",
-       "L 326.904528 155.344352 \n",
-       "L 342.055074 155.366067 \n",
-       "L 399.41071 155.37412 \n",
-       "L 399.41071 155.37412 \n",
-       "\" clip-path=\"url(#pdc7274dfcd)\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "L 238.165619 34.73256 \n",
+       "L 239.247801 35.683276 \n",
+       "L 240.329983 37.252593 \n",
+       "L 241.412165 39.418022 \n",
+       "L 242.494347 42.148723 \n",
+       "L 243.576528 45.406122 \n",
+       "L 244.65871 49.144685 \n",
+       "L 246.823074 57.853825 \n",
+       "L 248.987437 67.809017 \n",
+       "L 257.644892 109.885382 \n",
+       "L 259.809256 118.661859 \n",
+       "L 261.973619 126.065945 \n",
+       "L 263.055801 129.201216 \n",
+       "L 264.137983 131.949069 \n",
+       "L 265.220165 134.316057 \n",
+       "L 266.302347 136.32111 \n",
+       "L 267.384528 137.995712 \n",
+       "L 268.46671 139.382447 \n",
+       "L 269.548892 140.531648 \n",
+       "L 271.713256 142.328535 \n",
+       "L 274.959801 144.431077 \n",
+       "L 286.863801 151.570065 \n",
+       "L 290.110347 153.042241 \n",
+       "L 292.27471 153.811473 \n",
+       "L 294.439074 154.410812 \n",
+       "L 297.685619 155.015064 \n",
+       "L 299.849983 155.221331 \n",
+       "L 303.096528 155.192327 \n",
+       "L 308.507438 155.15076 \n",
+       "L 342.055074 155.36989 \n",
+       "L 399.41071 155.374123 \n",
+       "L 399.41071 155.374123 \n",
+       "\" clip-path=\"url(#p13c894111b)\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_3\">\n",
        "    <path d=\"M 58.523438 288.430125 \n",
@@ -2265,7 +2317,7 @@
        "L 415.643438 22.318125 \n",
        "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
        "   </g>\n",
-       "   <g id=\"text_17\">\n",
+       "   <g id=\"text_19\">\n",
        "    <!-- a beam / down-converted beam -->\n",
        "    <g transform=\"translate(141.023438 16.318125) scale(0.12 -0.12)\">\n",
        "     <defs>\n",
@@ -2492,13 +2544,13 @@
        "z\n",
        "\" style=\"fill: #ffffff; opacity: 0.8; stroke: #cccccc; stroke-linejoin: miter\"/>\n",
        "    </g>\n",
-       "    <g id=\"line2d_18\">\n",
+       "    <g id=\"line2d_20\">\n",
        "     <path d=\"M 360.245 35.416562 \n",
        "L 370.245 35.416562 \n",
        "L 380.245 35.416562 \n",
        "\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "    </g>\n",
-       "    <g id=\"text_18\">\n",
+       "    <g id=\"text_20\">\n",
        "     <!-- Re -->\n",
        "     <g transform=\"translate(388.245 38.916562) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
@@ -2535,13 +2587,13 @@
        "      <use xlink:href=\"#DejaVuSans-65\" x=\"64.982422\"/>\n",
        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"line2d_19\">\n",
+       "    <g id=\"line2d_21\">\n",
        "     <path d=\"M 360.245 50.094688 \n",
        "L 370.245 50.094688 \n",
        "L 380.245 50.094688 \n",
        "\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "    </g>\n",
-       "    <g id=\"text_19\">\n",
+       "    <g id=\"text_21\">\n",
        "     <!-- Im -->\n",
        "     <g transform=\"translate(388.245 53.594688) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
@@ -2557,13 +2609,13 @@
        "      <use xlink:href=\"#DejaVuSans-6d\" x=\"29.492188\"/>\n",
        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"line2d_20\">\n",
+       "    <g id=\"line2d_22\">\n",
        "     <path d=\"M 360.245 64.772812 \n",
        "L 370.245 64.772812 \n",
        "L 380.245 64.772812 \n",
        "\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "    </g>\n",
-       "    <g id=\"text_20\">\n",
+       "    <g id=\"text_22\">\n",
        "     <!-- Abs -->\n",
        "     <g transform=\"translate(388.245 68.272812) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
@@ -2608,7 +2660,7 @@
        "  </g>\n",
        " </g>\n",
        " <defs>\n",
-       "  <clipPath id=\"pdc7274dfcd\">\n",
+       "  <clipPath id=\"p13c894111b\">\n",
        "   <rect x=\"58.523438\" y=\"22.318125\" width=\"357.12\" height=\"266.112\"/>\n",
        "  </clipPath>\n",
        " </defs>\n",
@@ -2634,7 +2686,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 104,
+   "execution_count": 30,
    "metadata": {},
    "outputs": [
     {
@@ -2643,7 +2695,7 @@
        "Text(0.5, 1.0, 'c beam / non-converted beam')"
       ]
      },
-     "execution_count": 104,
+     "execution_count": 30,
      "metadata": {},
      "output_type": "execute_result"
     },
@@ -2653,12 +2705,12 @@
        "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
        "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
        "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
-       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"422.843437pt\" height=\"325.986375pt\" viewBox=\"0 0 422.843437 325.986375\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
+       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"429.205937pt\" height=\"325.986375pt\" viewBox=\"0 0 429.205937 325.986375\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
        " <metadata>\n",
        "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2024-09-30T21:35:09.413459</dc:date>\n",
+       "    <dc:date>2024-10-02T12:33:24.914946</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
@@ -2674,18 +2726,18 @@
        " <g id=\"figure_1\">\n",
        "  <g id=\"patch_1\">\n",
        "   <path d=\"M 0 325.986375 \n",
-       "L 422.843437 325.986375 \n",
-       "L 422.843437 0 \n",
+       "L 429.205937 325.986375 \n",
+       "L 429.205937 0 \n",
        "L 0 0 \n",
        "z\n",
        "\" style=\"fill: #ffffff\"/>\n",
        "  </g>\n",
        "  <g id=\"axes_1\">\n",
        "   <g id=\"patch_2\">\n",
-       "    <path d=\"M 58.523438 288.430125 \n",
-       "L 415.643438 288.430125 \n",
-       "L 415.643438 22.318125 \n",
-       "L 58.523438 22.318125 \n",
+       "    <path d=\"M 64.885937 288.430125 \n",
+       "L 422.005938 288.430125 \n",
+       "L 422.005938 22.318125 \n",
+       "L 64.885937 22.318125 \n",
        "z\n",
        "\" style=\"fill: #ffffff\"/>\n",
        "   </g>\n",
@@ -2693,17 +2745,17 @@
        "    <g id=\"xtick_1\">\n",
        "     <g id=\"line2d_1\">\n",
        "      <defs>\n",
-       "       <path id=\"m87da78d2d2\" d=\"M 0 0 \n",
+       "       <path id=\"m38998637a2\" d=\"M 0 0 \n",
        "L 0 3.5 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m87da78d2d2\" x=\"74.756165\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m38998637a2\" x=\"81.118665\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_1\">\n",
        "      <!-- −10.0 -->\n",
-       "      <g transform=\"translate(59.433509 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(65.796009 303.028562) scale(0.1 -0.1)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-2212\" d=\"M 678 2272 \n",
        "L 4684 2272 \n",
@@ -2766,12 +2818,12 @@
        "    <g id=\"xtick_2\">\n",
        "     <g id=\"line2d_2\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m87da78d2d2\" x=\"115.337983\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m38998637a2\" x=\"121.700483\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_2\">\n",
        "      <!-- −7.5 -->\n",
-       "      <g transform=\"translate(103.196577 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(109.559077 303.028562) scale(0.1 -0.1)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-37\" d=\"M 525 4666 \n",
        "L 3525 4666 \n",
@@ -2819,12 +2871,12 @@
        "    <g id=\"xtick_3\">\n",
        "     <g id=\"line2d_3\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m87da78d2d2\" x=\"155.919801\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m38998637a2\" x=\"162.282301\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_3\">\n",
        "      <!-- −5.0 -->\n",
-       "      <g transform=\"translate(143.778395 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(150.140895 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-35\" x=\"83.789062\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
@@ -2835,12 +2887,12 @@
        "    <g id=\"xtick_4\">\n",
        "     <g id=\"line2d_4\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m87da78d2d2\" x=\"196.501619\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m38998637a2\" x=\"202.864119\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_4\">\n",
        "      <!-- −2.5 -->\n",
-       "      <g transform=\"translate(184.360213 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(190.722713 303.028562) scale(0.1 -0.1)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-32\" d=\"M 1228 531 \n",
        "L 3431 531 \n",
@@ -2877,12 +2929,12 @@
        "    <g id=\"xtick_5\">\n",
        "     <g id=\"line2d_5\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m87da78d2d2\" x=\"237.083438\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m38998637a2\" x=\"243.445938\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_5\">\n",
        "      <!-- 0.0 -->\n",
-       "      <g transform=\"translate(229.131875 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(235.494375 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
@@ -2892,12 +2944,12 @@
        "    <g id=\"xtick_6\">\n",
        "     <g id=\"line2d_6\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m87da78d2d2\" x=\"277.665256\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m38998637a2\" x=\"284.027756\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_6\">\n",
        "      <!-- 2.5 -->\n",
-       "      <g transform=\"translate(269.713693 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(276.076193 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n",
@@ -2907,12 +2959,12 @@
        "    <g id=\"xtick_7\">\n",
        "     <g id=\"line2d_7\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m87da78d2d2\" x=\"318.247074\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m38998637a2\" x=\"324.609574\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_7\">\n",
        "      <!-- 5.0 -->\n",
-       "      <g transform=\"translate(310.295511 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(316.658011 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-35\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
@@ -2922,12 +2974,12 @@
        "    <g id=\"xtick_8\">\n",
        "     <g id=\"line2d_8\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m87da78d2d2\" x=\"358.828892\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m38998637a2\" x=\"365.191392\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_8\">\n",
        "      <!-- 7.5 -->\n",
-       "      <g transform=\"translate(350.87733 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(357.23983 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-37\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n",
@@ -2937,12 +2989,12 @@
        "    <g id=\"xtick_9\">\n",
        "     <g id=\"line2d_9\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m87da78d2d2\" x=\"399.41071\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m38998637a2\" x=\"405.77321\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_9\">\n",
        "      <!-- 10.0 -->\n",
-       "      <g transform=\"translate(388.277898 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(394.640398 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"127.246094\"/>\n",
@@ -2952,7 +3004,7 @@
        "    </g>\n",
        "    <g id=\"text_10\">\n",
        "     <!-- $\\delta\\omega$ -->\n",
-       "     <g transform=\"translate(229.833438 316.706687) scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(236.195938 316.706687) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
        "       <path id=\"DejaVuSans-Oblique-3b4\" d=\"M 3472 4053 \n",
        "Q 3197 4272 2450 4272 \n",
@@ -3011,76 +3063,115 @@
        "    <g id=\"ytick_1\">\n",
        "     <g id=\"line2d_10\">\n",
        "      <defs>\n",
-       "       <path id=\"m8456236156\" d=\"M 0 0 \n",
+       "       <path id=\"m043147c38b\" d=\"M 0 0 \n",
        "L -3.5 0 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m8456236156\" x=\"58.523438\" y=\"237.266178\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m043147c38b\" x=\"64.885937\" y=\"274.42714\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_11\">\n",
-       "      <!-- −0.01 -->\n",
-       "      <g transform=\"translate(20.878125 241.065396) scale(0.1 -0.1)\">\n",
+       "      <!-- −0.010 -->\n",
+       "      <g transform=\"translate(20.878125 278.226358) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"83.789062\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"179.199219\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-31\" x=\"242.822266\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"306.445312\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"ytick_2\">\n",
        "     <g id=\"line2d_11\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m8456236156\" x=\"58.523438\" y=\"179.66059\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m043147c38b\" x=\"64.885937\" y=\"224.950856\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_12\">\n",
-       "      <!-- 0.00 -->\n",
-       "      <g transform=\"translate(29.257813 183.459809) scale(0.1 -0.1)\">\n",
-       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
+       "      <!-- −0.005 -->\n",
+       "      <g transform=\"translate(20.878125 228.750075) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"83.789062\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"179.199219\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"242.822266\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"306.445312\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"ytick_3\">\n",
        "     <g id=\"line2d_12\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m8456236156\" x=\"58.523438\" y=\"122.055002\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m043147c38b\" x=\"64.885937\" y=\"175.474572\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_13\">\n",
-       "      <!-- 0.01 -->\n",
-       "      <g transform=\"translate(29.257813 125.854221) scale(0.1 -0.1)\">\n",
+       "      <!-- 0.000 -->\n",
+       "      <g transform=\"translate(29.257812 179.273791) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-31\" x=\"159.033203\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"222.65625\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
        "    <g id=\"ytick_4\">\n",
        "     <g id=\"line2d_13\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m8456236156\" x=\"58.523438\" y=\"64.449415\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m043147c38b\" x=\"64.885937\" y=\"125.998289\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_14\">\n",
-       "      <!-- 0.02 -->\n",
-       "      <g transform=\"translate(29.257813 68.248633) scale(0.1 -0.1)\">\n",
+       "      <!-- 0.005 -->\n",
+       "      <g transform=\"translate(29.257812 129.797508) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-32\" x=\"159.033203\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"159.033203\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"222.65625\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"text_15\">\n",
+       "    <g id=\"ytick_5\">\n",
+       "     <g id=\"line2d_14\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m043147c38b\" x=\"64.885937\" y=\"76.522005\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_15\">\n",
+       "      <!-- 0.010 -->\n",
+       "      <g transform=\"translate(29.257812 80.321224) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-31\" x=\"159.033203\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"222.65625\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"ytick_6\">\n",
+       "     <g id=\"line2d_15\">\n",
+       "      <g>\n",
+       "       <use xlink:href=\"#m043147c38b\" x=\"64.885937\" y=\"27.045722\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "     <g id=\"text_16\">\n",
+       "      <!-- 0.015 -->\n",
+       "      <g transform=\"translate(29.257812 30.844941) scale(0.1 -0.1)\">\n",
+       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-31\" x=\"159.033203\"/>\n",
+       "       <use xlink:href=\"#DejaVuSans-35\" x=\"222.65625\"/>\n",
+       "      </g>\n",
+       "     </g>\n",
+       "    </g>\n",
+       "    <g id=\"text_17\">\n",
        "     <!-- Amplitude -->\n",
-       "     <g transform=\"translate(14.798438 180.996781) rotate(-90) scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(14.798437 180.996781) rotate(-90) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
        "       <path id=\"DejaVuSans-41\" d=\"M 2188 4044 \n",
        "L 1331 1722 \n",
@@ -3281,296 +3372,273 @@
        "     </g>\n",
        "    </g>\n",
        "   </g>\n",
-       "   <g id=\"line2d_14\">\n",
-       "    <path d=\"M 74.756165 179.66059 \n",
-       "L 161.33071 179.564181 \n",
-       "L 165.659437 179.309606 \n",
-       "L 168.905983 178.903396 \n",
-       "L 172.152528 178.265888 \n",
-       "L 175.399074 177.399524 \n",
-       "L 179.727801 175.960279 \n",
-       "L 182.974347 174.695293 \n",
-       "L 185.13871 173.711294 \n",
-       "L 187.303074 172.511436 \n",
-       "L 189.467437 170.940521 \n",
-       "L 190.549619 169.950612 \n",
-       "L 191.631801 168.782834 \n",
-       "L 192.713983 167.40296 \n",
-       "L 193.796165 165.775519 \n",
-       "L 194.878347 163.865096 \n",
-       "L 195.960528 161.637843 \n",
-       "L 197.04271 159.063164 \n",
-       "L 198.124892 156.115525 \n",
-       "L 199.207074 152.776307 \n",
-       "L 200.289256 149.035618 \n",
-       "L 202.453619 140.363761 \n",
-       "L 204.617983 130.252819 \n",
-       "L 207.864528 113.25245 \n",
-       "L 211.111074 95.989037 \n",
-       "L 213.275438 85.688621 \n",
-       "L 214.357619 81.218837 \n",
-       "L 215.439801 77.331353 \n",
-       "L 216.521983 74.108109 \n",
-       "L 217.604165 71.614967 \n",
-       "L 218.686347 69.89848 \n",
-       "L 219.768528 68.983268 \n",
-       "L 220.85071 68.870131 \n",
-       "L 221.932892 69.535031 \n",
-       "L 223.015074 70.929028 \n",
-       "L 224.097256 72.97922 \n",
-       "L 225.179437 75.590687 \n",
-       "L 227.343801 82.025972 \n",
-       "L 230.590347 92.637596 \n",
-       "L 231.672528 95.853397 \n",
-       "L 232.75471 98.683232 \n",
-       "L 233.836892 101.012534 \n",
-       "L 234.919074 102.747059 \n",
-       "L 236.001256 103.816652 \n",
-       "L 237.083438 104.178055 \n",
-       "L 238.165619 103.816652 \n",
-       "L 239.247801 102.747059 \n",
-       "L 240.329983 101.012534 \n",
-       "L 241.412165 98.683232 \n",
-       "L 242.494347 95.853397 \n",
-       "L 244.65871 89.166189 \n",
-       "L 247.905256 78.649395 \n",
-       "L 248.987437 75.590687 \n",
-       "L 250.069619 72.97922 \n",
-       "L 251.151801 70.929028 \n",
-       "L 252.233983 69.535031 \n",
-       "L 253.316165 68.870131 \n",
-       "L 254.398347 68.983268 \n",
-       "L 255.480528 69.89848 \n",
-       "L 256.56271 71.614967 \n",
-       "L 257.644892 74.108109 \n",
-       "L 258.727074 77.331353 \n",
-       "L 259.809256 81.218837 \n",
-       "L 260.891437 85.688621 \n",
-       "L 263.055801 95.989037 \n",
-       "L 266.302347 113.25245 \n",
-       "L 269.548892 130.252819 \n",
-       "L 271.713256 140.363761 \n",
-       "L 273.877619 149.035618 \n",
-       "L 274.959801 152.776307 \n",
-       "L 276.041983 156.115525 \n",
-       "L 277.124165 159.063164 \n",
-       "L 278.206347 161.637843 \n",
-       "L 279.288528 163.865096 \n",
-       "L 280.37071 165.775519 \n",
-       "L 281.452892 167.40296 \n",
-       "L 282.535074 168.782834 \n",
-       "L 283.617256 169.950612 \n",
-       "L 285.781619 171.784506 \n",
-       "L 287.945983 173.146574 \n",
-       "L 290.110347 174.223009 \n",
-       "L 293.356892 175.558443 \n",
-       "L 297.685619 177.066515 \n",
-       "L 300.932165 178.001057 \n",
-       "L 304.17871 178.717456 \n",
-       "L 307.425256 179.19814 \n",
-       "L 310.671801 179.47044 \n",
-       "L 315.000528 179.610302 \n",
-       "L 325.822347 179.615888 \n",
-       "L 399.41071 179.66059 \n",
-       "L 399.41071 179.66059 \n",
-       "\" clip-path=\"url(#p9c9bd09de1)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "   <g id=\"line2d_16\">\n",
+       "    <path d=\"M 81.118665 175.474569 \n",
+       "L 164.446665 175.581685 \n",
+       "L 170.939756 175.882222 \n",
+       "L 177.432847 176.423869 \n",
+       "L 182.843756 176.856086 \n",
+       "L 186.090301 176.888203 \n",
+       "L 188.254665 176.705847 \n",
+       "L 190.419028 176.282259 \n",
+       "L 192.583392 175.542655 \n",
+       "L 194.747756 174.409006 \n",
+       "L 196.912119 172.80396 \n",
+       "L 199.076483 170.654915 \n",
+       "L 201.240847 167.897796 \n",
+       "L 203.40521 164.480147 \n",
+       "L 205.569574 160.363351 \n",
+       "L 207.733938 155.523975 \n",
+       "L 209.898301 149.954539 \n",
+       "L 212.062665 143.664189 \n",
+       "L 214.227028 136.679847 \n",
+       "L 216.391392 129.048348 \n",
+       "L 219.637938 116.548457 \n",
+       "L 223.966665 98.515757 \n",
+       "L 229.377574 75.756771 \n",
+       "L 231.541937 67.346458 \n",
+       "L 233.706301 59.748827 \n",
+       "L 235.870665 53.247447 \n",
+       "L 236.952847 50.491348 \n",
+       "L 238.035028 48.105042 \n",
+       "L 239.11721 46.114645 \n",
+       "L 240.199392 44.542415 \n",
+       "L 241.281574 43.406238 \n",
+       "L 242.363756 42.719206 \n",
+       "L 243.445938 42.4893 \n",
+       "L 244.528119 42.719206 \n",
+       "L 245.610301 43.406238 \n",
+       "L 246.692483 44.542415 \n",
+       "L 247.774665 46.114645 \n",
+       "L 248.856847 48.105042 \n",
+       "L 249.939028 50.491348 \n",
+       "L 251.02121 53.247447 \n",
+       "L 253.185574 59.748827 \n",
+       "L 255.349938 67.346458 \n",
+       "L 257.514301 75.756771 \n",
+       "L 261.843028 93.894686 \n",
+       "L 267.253938 116.548457 \n",
+       "L 270.500483 129.048348 \n",
+       "L 272.664847 136.679847 \n",
+       "L 274.82921 143.664189 \n",
+       "L 276.993574 149.954539 \n",
+       "L 279.157938 155.523975 \n",
+       "L 281.322301 160.363351 \n",
+       "L 283.486665 164.480147 \n",
+       "L 285.651028 167.897796 \n",
+       "L 287.815392 170.654915 \n",
+       "L 289.979756 172.80396 \n",
+       "L 292.144119 174.409006 \n",
+       "L 294.308483 175.542655 \n",
+       "L 296.472847 176.282259 \n",
+       "L 298.63721 176.705847 \n",
+       "L 300.801574 176.888203 \n",
+       "L 304.048119 176.856086 \n",
+       "L 308.376847 176.524748 \n",
+       "L 317.034301 175.814282 \n",
+       "L 323.527392 175.553704 \n",
+       "L 332.184847 175.460441 \n",
+       "L 377.636483 175.474288 \n",
+       "L 405.77321 175.474569 \n",
+       "L 405.77321 175.474569 \n",
+       "\" clip-path=\"url(#p3752ee453c)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "   </g>\n",
-       "   <g id=\"line2d_15\">\n",
-       "    <path d=\"M 74.756165 179.660587 \n",
-       "L 160.248528 179.747782 \n",
-       "L 172.152528 180.164404 \n",
-       "L 175.399074 179.976573 \n",
-       "L 178.645619 179.498001 \n",
-       "L 181.892165 178.732467 \n",
-       "L 187.303074 177.116457 \n",
-       "L 194.878347 174.721283 \n",
-       "L 197.04271 173.611269 \n",
-       "L 198.124892 172.843754 \n",
-       "L 199.207074 171.877424 \n",
-       "L 200.289256 170.665158 \n",
-       "L 201.371438 169.158363 \n",
-       "L 202.453619 167.309027 \n",
-       "L 203.535801 165.072083 \n",
-       "L 204.617983 162.408024 \n",
-       "L 205.700165 159.285666 \n",
-       "L 206.782347 155.684948 \n",
-       "L 207.864528 151.599634 \n",
-       "L 210.028892 142.03382 \n",
-       "L 212.193256 130.897985 \n",
-       "L 217.604165 101.140182 \n",
-       "L 218.686347 95.968803 \n",
-       "L 219.768528 91.44046 \n",
-       "L 220.85071 87.724052 \n",
-       "L 221.932892 84.980949 \n",
-       "L 223.015074 83.359069 \n",
-       "L 224.097256 82.987055 \n",
-       "L 225.179437 83.968826 \n",
-       "L 226.261619 86.378712 \n",
-       "L 227.343801 90.257424 \n",
-       "L 228.425983 95.609058 \n",
-       "L 229.508165 102.399287 \n",
-       "L 230.590347 110.554871 \n",
-       "L 231.672528 119.964542 \n",
-       "L 233.836892 141.925869 \n",
-       "L 237.083438 179.66059 \n",
-       "L 240.329983 217.395311 \n",
-       "L 242.494347 239.356638 \n",
-       "L 243.576528 248.766309 \n",
-       "L 244.65871 256.921893 \n",
-       "L 245.740892 263.712122 \n",
-       "L 246.823074 269.063756 \n",
-       "L 247.905256 272.942468 \n",
-       "L 248.987437 275.352354 \n",
-       "L 250.069619 276.334125 \n",
-       "L 251.151801 275.962111 \n",
-       "L 252.233983 274.340231 \n",
-       "L 253.316165 271.597128 \n",
-       "L 254.398347 267.88072 \n",
-       "L 255.480528 263.352377 \n",
-       "L 257.644892 252.537224 \n",
-       "L 264.137983 217.28736 \n",
-       "L 266.302347 207.721546 \n",
-       "L 267.384528 203.636232 \n",
-       "L 268.46671 200.035514 \n",
-       "L 269.548892 196.913156 \n",
-       "L 270.631074 194.249097 \n",
-       "L 271.713256 192.012153 \n",
-       "L 272.795437 190.162817 \n",
-       "L 273.877619 188.656022 \n",
-       "L 274.959801 187.443756 \n",
-       "L 276.041983 186.477426 \n",
-       "L 277.124165 185.709911 \n",
-       "L 279.288528 184.599897 \n",
-       "L 281.452892 183.820194 \n",
-       "L 292.27471 180.588713 \n",
-       "L 295.521256 179.823179 \n",
-       "L 298.767801 179.344607 \n",
-       "L 302.014347 179.156776 \n",
-       "L 306.343074 179.224791 \n",
-       "L 319.329256 179.692116 \n",
-       "L 331.233256 179.676383 \n",
-       "L 371.273983 179.660515 \n",
-       "L 399.41071 179.660593 \n",
-       "L 399.41071 179.660593 \n",
-       "\" clip-path=\"url(#p9c9bd09de1)\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "   <g id=\"line2d_17\">\n",
+       "    <path d=\"M 81.118665 175.474575 \n",
+       "L 163.364483 175.371963 \n",
+       "L 170.939756 175.073072 \n",
+       "L 176.350665 174.681732 \n",
+       "L 180.679392 174.181113 \n",
+       "L 183.925938 173.588832 \n",
+       "L 186.090301 173.013043 \n",
+       "L 188.254665 172.216407 \n",
+       "L 190.419028 171.110853 \n",
+       "L 192.583392 169.587878 \n",
+       "L 193.665574 168.631012 \n",
+       "L 194.747756 167.52147 \n",
+       "L 195.829937 166.241832 \n",
+       "L 196.912119 164.774618 \n",
+       "L 197.994301 163.102718 \n",
+       "L 199.076483 161.209885 \n",
+       "L 200.158665 159.081277 \n",
+       "L 202.323028 154.068036 \n",
+       "L 204.487392 147.995905 \n",
+       "L 206.651756 140.861 \n",
+       "L 208.816119 132.742587 \n",
+       "L 210.980483 123.819452 \n",
+       "L 218.555756 91.376381 \n",
+       "L 220.720119 83.863493 \n",
+       "L 221.802301 80.775603 \n",
+       "L 222.884483 78.236139 \n",
+       "L 223.966665 76.318433 \n",
+       "L 225.048847 75.090832 \n",
+       "L 226.131028 74.61502 \n",
+       "L 227.21321 74.944393 \n",
+       "L 228.295392 76.122536 \n",
+       "L 229.377574 78.181847 \n",
+       "L 230.459756 81.142341 \n",
+       "L 231.541937 85.010697 \n",
+       "L 232.624119 89.779554 \n",
+       "L 233.706301 95.427103 \n",
+       "L 234.788483 101.916993 \n",
+       "L 236.952847 117.207383 \n",
+       "L 239.11721 135.085904 \n",
+       "L 242.363756 165.07825 \n",
+       "L 246.692483 206.181743 \n",
+       "L 248.856847 225.082984 \n",
+       "L 251.02121 241.750584 \n",
+       "L 252.103392 249.032152 \n",
+       "L 253.185574 255.522042 \n",
+       "L 254.267756 261.169591 \n",
+       "L 255.349938 265.938448 \n",
+       "L 256.432119 269.806804 \n",
+       "L 257.514301 272.767298 \n",
+       "L 258.596483 274.826609 \n",
+       "L 259.678665 276.004752 \n",
+       "L 260.760847 276.334125 \n",
+       "L 261.843028 275.858313 \n",
+       "L 262.92521 274.630712 \n",
+       "L 264.007392 272.713006 \n",
+       "L 265.089574 270.173542 \n",
+       "L 266.171756 267.085652 \n",
+       "L 267.253938 263.525968 \n",
+       "L 269.418301 255.304375 \n",
+       "L 272.664847 241.36241 \n",
+       "L 276.993574 222.582925 \n",
+       "L 279.157938 214.0331 \n",
+       "L 281.322301 206.390635 \n",
+       "L 283.486665 199.782845 \n",
+       "L 285.651028 194.245085 \n",
+       "L 287.815392 189.73926 \n",
+       "L 289.979756 186.174527 \n",
+       "L 291.061937 184.707313 \n",
+       "L 293.226301 182.318133 \n",
+       "L 295.390665 180.540079 \n",
+       "L 297.555028 179.240579 \n",
+       "L 299.719392 178.301801 \n",
+       "L 301.883756 177.625291 \n",
+       "L 305.130301 176.937787 \n",
+       "L 308.376847 176.488438 \n",
+       "L 313.787756 176.010516 \n",
+       "L 320.280847 175.676237 \n",
+       "L 328.938301 175.486499 \n",
+       "L 344.088847 175.459063 \n",
+       "L 405.77321 175.47457 \n",
+       "L 405.77321 175.47457 \n",
+       "\" clip-path=\"url(#p3752ee453c)\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "   </g>\n",
-       "   <g id=\"line2d_16\">\n",
-       "    <path d=\"M 74.756165 179.660587 \n",
-       "L 160.248528 179.549664 \n",
-       "L 164.577256 179.277396 \n",
-       "L 168.905983 178.766622 \n",
-       "L 172.152528 178.17768 \n",
-       "L 175.399074 177.377551 \n",
-       "L 178.645619 176.341614 \n",
-       "L 181.892165 175.043903 \n",
-       "L 184.056528 174.005971 \n",
-       "L 186.220892 172.780904 \n",
-       "L 188.385256 171.27779 \n",
-       "L 190.549619 169.336631 \n",
-       "L 191.631801 168.129431 \n",
-       "L 192.713983 166.71641 \n",
-       "L 193.796165 165.05739 \n",
-       "L 194.878347 163.110836 \n",
-       "L 195.960528 160.835696 \n",
-       "L 197.04271 158.193213 \n",
-       "L 198.124892 155.148566 \n",
-       "L 199.207074 151.672337 \n",
-       "L 200.289256 147.741839 \n",
-       "L 201.371438 143.342354 \n",
-       "L 203.535801 133.124562 \n",
-       "L 205.700165 121.105025 \n",
-       "L 207.864528 107.56719 \n",
-       "L 215.439801 57.388153 \n",
-       "L 216.521983 51.393954 \n",
-       "L 217.604165 46.096706 \n",
-       "L 218.686347 41.631477 \n",
-       "L 219.768528 38.12522 \n",
-       "L 220.85071 35.692354 \n",
-       "L 221.932892 34.430176 \n",
-       "L 223.015074 34.414125 \n",
-       "L 224.097256 35.69293 \n",
-       "L 225.179437 38.283582 \n",
-       "L 226.261619 42.16597 \n",
-       "L 227.343801 47.276888 \n",
-       "L 228.425983 53.502849 \n",
-       "L 230.590347 68.536327 \n",
-       "L 233.836892 92.428567 \n",
-       "L 234.919074 98.608416 \n",
-       "L 236.001256 102.725807 \n",
-       "L 237.083438 104.178055 \n",
-       "L 238.165619 102.725807 \n",
-       "L 239.247801 98.608416 \n",
-       "L 240.329983 92.428567 \n",
-       "L 242.494347 76.76616 \n",
-       "L 244.65871 60.670903 \n",
-       "L 245.740892 53.502849 \n",
-       "L 246.823074 47.276888 \n",
-       "L 247.905256 42.16597 \n",
-       "L 248.987437 38.283582 \n",
-       "L 250.069619 35.69293 \n",
-       "L 251.151801 34.414125 \n",
-       "L 252.233983 34.430176 \n",
-       "L 253.316165 35.692354 \n",
-       "L 254.398347 38.12522 \n",
-       "L 255.480528 41.631477 \n",
-       "L 256.56271 46.096706 \n",
-       "L 257.644892 51.393954 \n",
-       "L 259.809256 63.940279 \n",
-       "L 263.055801 85.572608 \n",
-       "L 266.302347 107.56719 \n",
-       "L 268.46671 121.105025 \n",
-       "L 270.631074 133.124562 \n",
-       "L 272.795437 143.342354 \n",
-       "L 273.877619 147.741839 \n",
-       "L 274.959801 151.672337 \n",
-       "L 276.041983 155.148566 \n",
-       "L 277.124165 158.193213 \n",
-       "L 278.206347 160.835696 \n",
-       "L 279.288528 163.110836 \n",
-       "L 280.37071 165.05739 \n",
-       "L 281.452892 166.71641 \n",
-       "L 282.535074 168.129431 \n",
-       "L 283.617256 169.336631 \n",
-       "L 285.781619 171.27779 \n",
-       "L 287.945983 172.780904 \n",
-       "L 290.110347 174.005971 \n",
-       "L 293.356892 175.507979 \n",
-       "L 296.603437 176.714491 \n",
-       "L 299.849983 177.66936 \n",
-       "L 303.096528 178.396062 \n",
-       "L 306.343074 178.921183 \n",
-       "L 310.671801 179.364705 \n",
-       "L 315.000528 179.58853 \n",
-       "L 319.329256 179.614623 \n",
-       "L 332.315438 179.626837 \n",
-       "L 369.109619 179.660111 \n",
-       "L 399.41071 179.660587 \n",
-       "L 399.41071 179.660587 \n",
-       "\" clip-path=\"url(#p9c9bd09de1)\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "   <g id=\"line2d_18\">\n",
+       "    <path d=\"M 81.118665 175.474568 \n",
+       "L 162.282301 175.378671 \n",
+       "L 168.775392 175.071248 \n",
+       "L 174.186301 174.577394 \n",
+       "L 179.59721 173.853348 \n",
+       "L 183.925938 173.11222 \n",
+       "L 187.172483 172.342361 \n",
+       "L 189.336847 171.563802 \n",
+       "L 191.50121 170.386163 \n",
+       "L 192.583392 169.587484 \n",
+       "L 193.665574 168.616586 \n",
+       "L 194.747756 167.450405 \n",
+       "L 195.829937 166.067149 \n",
+       "L 196.912119 164.446372 \n",
+       "L 197.994301 162.569035 \n",
+       "L 199.076483 160.417667 \n",
+       "L 200.158665 157.976638 \n",
+       "L 201.240847 155.232545 \n",
+       "L 203.40521 148.795564 \n",
+       "L 205.569574 141.063064 \n",
+       "L 207.733938 132.060446 \n",
+       "L 209.898301 121.897815 \n",
+       "L 212.062665 110.780831 \n",
+       "L 216.391392 86.993098 \n",
+       "L 219.637938 69.524889 \n",
+       "L 221.802301 59.002723 \n",
+       "L 223.966665 49.957246 \n",
+       "L 225.048847 46.121671 \n",
+       "L 226.131028 42.800352 \n",
+       "L 227.21321 40.022902 \n",
+       "L 228.295392 37.806927 \n",
+       "L 229.377574 36.156539 \n",
+       "L 230.459756 35.061121 \n",
+       "L 231.541937 34.494426 \n",
+       "L 232.624119 34.414125 \n",
+       "L 233.706301 34.761938 \n",
+       "L 234.788483 35.46449 \n",
+       "L 235.870665 36.435082 \n",
+       "L 240.199392 40.989777 \n",
+       "L 241.281574 41.798243 \n",
+       "L 242.363756 42.31275 \n",
+       "L 243.445938 42.4893 \n",
+       "L 244.528119 42.31275 \n",
+       "L 245.610301 41.798243 \n",
+       "L 246.692483 40.989777 \n",
+       "L 248.856847 38.785174 \n",
+       "L 251.02121 36.435082 \n",
+       "L 252.103392 35.46449 \n",
+       "L 253.185574 34.761938 \n",
+       "L 254.267756 34.414125 \n",
+       "L 255.349938 34.494426 \n",
+       "L 256.432119 35.061121 \n",
+       "L 257.514301 36.156539 \n",
+       "L 258.596483 37.806927 \n",
+       "L 259.678665 40.022902 \n",
+       "L 260.760847 42.800352 \n",
+       "L 261.843028 46.121671 \n",
+       "L 262.92521 49.957246 \n",
+       "L 265.089574 59.002723 \n",
+       "L 267.253938 69.524889 \n",
+       "L 270.500483 86.993098 \n",
+       "L 275.911392 116.44188 \n",
+       "L 278.075756 127.113599 \n",
+       "L 280.240119 136.715781 \n",
+       "L 282.404483 145.091484 \n",
+       "L 284.568847 152.174682 \n",
+       "L 286.73321 157.976638 \n",
+       "L 287.815392 160.417667 \n",
+       "L 288.897574 162.569035 \n",
+       "L 289.979756 164.446372 \n",
+       "L 291.061937 166.067149 \n",
+       "L 292.144119 167.450405 \n",
+       "L 293.226301 168.616586 \n",
+       "L 294.308483 169.587484 \n",
+       "L 295.390665 170.386163 \n",
+       "L 297.555028 171.563802 \n",
+       "L 299.719392 172.342361 \n",
+       "L 302.965937 173.11222 \n",
+       "L 307.294665 173.853348 \n",
+       "L 312.705574 174.577394 \n",
+       "L 318.116483 175.071248 \n",
+       "L 323.527392 175.344994 \n",
+       "L 330.020483 175.468535 \n",
+       "L 350.581938 175.463695 \n",
+       "L 405.77321 175.474568 \n",
+       "L 405.77321 175.474568 \n",
+       "\" clip-path=\"url(#p3752ee453c)\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_3\">\n",
-       "    <path d=\"M 58.523438 288.430125 \n",
-       "L 58.523438 22.318125 \n",
+       "    <path d=\"M 64.885937 288.430125 \n",
+       "L 64.885937 22.318125 \n",
        "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_4\">\n",
-       "    <path d=\"M 415.643438 288.430125 \n",
-       "L 415.643438 22.318125 \n",
+       "    <path d=\"M 422.005938 288.430125 \n",
+       "L 422.005938 22.318125 \n",
        "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_5\">\n",
-       "    <path d=\"M 58.523438 288.430125 \n",
-       "L 415.643438 288.430125 \n",
+       "    <path d=\"M 64.885938 288.430125 \n",
+       "L 422.005938 288.430125 \n",
        "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_6\">\n",
-       "    <path d=\"M 58.523438 22.318125 \n",
-       "L 415.643438 22.318125 \n",
+       "    <path d=\"M 64.885938 22.318125 \n",
+       "L 422.005938 22.318125 \n",
        "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
        "   </g>\n",
-       "   <g id=\"text_16\">\n",
+       "   <g id=\"text_18\">\n",
        "    <!-- c beam / non-converted beam -->\n",
-       "    <g transform=\"translate(146.314687 16.318125) scale(0.12 -0.12)\">\n",
+       "    <g transform=\"translate(152.677188 16.318125) scale(0.12 -0.12)\">\n",
        "     <defs>\n",
        "      <path id=\"DejaVuSans-63\" d=\"M 3122 3366 \n",
        "L 3122 2828 \n",
@@ -3766,27 +3834,27 @@
        "   </g>\n",
        "   <g id=\"legend_1\">\n",
        "    <g id=\"patch_7\">\n",
-       "     <path d=\"M 358.245 74.3525 \n",
-       "L 408.643438 74.3525 \n",
-       "Q 410.643438 74.3525 410.643438 72.3525 \n",
-       "L 410.643438 29.318125 \n",
-       "Q 410.643438 27.318125 408.643438 27.318125 \n",
-       "L 358.245 27.318125 \n",
-       "Q 356.245 27.318125 356.245 29.318125 \n",
-       "L 356.245 72.3525 \n",
-       "Q 356.245 74.3525 358.245 74.3525 \n",
+       "     <path d=\"M 364.6075 74.3525 \n",
+       "L 415.005938 74.3525 \n",
+       "Q 417.005938 74.3525 417.005938 72.3525 \n",
+       "L 417.005938 29.318125 \n",
+       "Q 417.005938 27.318125 415.005938 27.318125 \n",
+       "L 364.6075 27.318125 \n",
+       "Q 362.6075 27.318125 362.6075 29.318125 \n",
+       "L 362.6075 72.3525 \n",
+       "Q 362.6075 74.3525 364.6075 74.3525 \n",
        "z\n",
        "\" style=\"fill: #ffffff; opacity: 0.8; stroke: #cccccc; stroke-linejoin: miter\"/>\n",
        "    </g>\n",
-       "    <g id=\"line2d_17\">\n",
-       "     <path d=\"M 360.245 35.416562 \n",
-       "L 370.245 35.416562 \n",
-       "L 380.245 35.416562 \n",
+       "    <g id=\"line2d_19\">\n",
+       "     <path d=\"M 366.6075 35.416562 \n",
+       "L 376.6075 35.416562 \n",
+       "L 386.6075 35.416562 \n",
        "\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "    </g>\n",
-       "    <g id=\"text_17\">\n",
+       "    <g id=\"text_19\">\n",
        "     <!-- Re -->\n",
-       "     <g transform=\"translate(388.245 38.916562) scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(394.6075 38.916562) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
        "       <path id=\"DejaVuSans-52\" d=\"M 2841 2188 \n",
        "Q 3044 2119 3236 1894 \n",
@@ -3821,15 +3889,15 @@
        "      <use xlink:href=\"#DejaVuSans-65\" x=\"64.982422\"/>\n",
        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"line2d_18\">\n",
-       "     <path d=\"M 360.245 50.094688 \n",
-       "L 370.245 50.094688 \n",
-       "L 380.245 50.094688 \n",
+       "    <g id=\"line2d_20\">\n",
+       "     <path d=\"M 366.6075 50.094688 \n",
+       "L 376.6075 50.094688 \n",
+       "L 386.6075 50.094688 \n",
        "\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "    </g>\n",
-       "    <g id=\"text_18\">\n",
+       "    <g id=\"text_20\">\n",
        "     <!-- Im -->\n",
-       "     <g transform=\"translate(388.245 53.594688) scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(394.6075 53.594688) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
        "       <path id=\"DejaVuSans-49\" d=\"M 628 4666 \n",
        "L 1259 4666 \n",
@@ -3843,15 +3911,15 @@
        "      <use xlink:href=\"#DejaVuSans-6d\" x=\"29.492188\"/>\n",
        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"line2d_19\">\n",
-       "     <path d=\"M 360.245 64.772812 \n",
-       "L 370.245 64.772812 \n",
-       "L 380.245 64.772812 \n",
+       "    <g id=\"line2d_21\">\n",
+       "     <path d=\"M 366.6075 64.772812 \n",
+       "L 376.6075 64.772812 \n",
+       "L 386.6075 64.772812 \n",
        "\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "    </g>\n",
-       "    <g id=\"text_19\">\n",
+       "    <g id=\"text_21\">\n",
        "     <!-- Abs -->\n",
-       "     <g transform=\"translate(388.245 68.272812) scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(394.6075 68.272812) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
        "       <path id=\"DejaVuSans-73\" d=\"M 2834 3397 \n",
        "L 2834 2853 \n",
@@ -3894,8 +3962,8 @@
        "  </g>\n",
        " </g>\n",
        " <defs>\n",
-       "  <clipPath id=\"p9c9bd09de1\">\n",
-       "   <rect x=\"58.523438\" y=\"22.318125\" width=\"357.12\" height=\"266.112\"/>\n",
+       "  <clipPath id=\"p3752ee453c\">\n",
+       "   <rect x=\"64.885937\" y=\"22.318125\" width=\"357.12\" height=\"266.112\"/>\n",
        "  </clipPath>\n",
        " </defs>\n",
        "</svg>\n"
@@ -3927,7 +3995,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 105,
+   "execution_count": 31,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -3936,7 +4004,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 106,
+   "execution_count": 32,
    "metadata": {},
    "outputs": [
     {
@@ -3945,7 +4013,7 @@
        "Text(0, 0.5, '$\\\\delta\\\\omega_{out}$')"
       ]
      },
-     "execution_count": 106,
+     "execution_count": 32,
      "metadata": {},
      "output_type": "execute_result"
     },
@@ -3960,7 +4028,7 @@
        "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2024-09-30T21:35:09.709296</dc:date>\n",
+       "    <dc:date>2024-10-02T12:33:25.317534</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
@@ -3991,20 +4059,20 @@
        "z\n",
        "\" style=\"fill: #ffffff\"/>\n",
        "   </g>\n",
-       "   <g clip-path=\"url(#p0f8458b696)\">\n",
+       "   <g clip-path=\"url(#p224d2e4ba9)\">\n",
        "    <image xlink:href=\"data:image/png;base64,\n",
-       "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\" id=\"image800aeaa606\" transform=\"scale(1 -1) translate(0 -266.4)\" x=\"58.523438\" y=\"-22.030125\" width=\"266.4\" height=\"266.4\"/>\n",
+       "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\" id=\"image2975cbcec4\" transform=\"scale(1 -1) translate(0 -266.4)\" x=\"58.523438\" y=\"-22.030125\" width=\"266.4\" height=\"266.4\"/>\n",
        "   </g>\n",
        "   <g id=\"matplotlib.axis_1\">\n",
        "    <g id=\"xtick_1\">\n",
        "     <g id=\"line2d_1\">\n",
        "      <defs>\n",
-       "       <path id=\"mf5d8a54ae5\" d=\"M 0 0 \n",
+       "       <path id=\"mcd63974f3c\" d=\"M 0 0 \n",
        "L 0 3.5 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mf5d8a54ae5\" x=\"58.523438\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mcd63974f3c\" x=\"58.523438\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_1\">\n",
@@ -4072,7 +4140,7 @@
        "    <g id=\"xtick_2\">\n",
        "     <g id=\"line2d_2\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mf5d8a54ae5\" x=\"91.787437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mcd63974f3c\" x=\"91.787437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_2\">\n",
@@ -4125,7 +4193,7 @@
        "    <g id=\"xtick_3\">\n",
        "     <g id=\"line2d_3\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mf5d8a54ae5\" x=\"125.051437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mcd63974f3c\" x=\"125.051437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_3\">\n",
@@ -4141,7 +4209,7 @@
        "    <g id=\"xtick_4\">\n",
        "     <g id=\"line2d_4\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mf5d8a54ae5\" x=\"158.315437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mcd63974f3c\" x=\"158.315437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_4\">\n",
@@ -4183,7 +4251,7 @@
        "    <g id=\"xtick_5\">\n",
        "     <g id=\"line2d_5\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mf5d8a54ae5\" x=\"191.579437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mcd63974f3c\" x=\"191.579437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_5\">\n",
@@ -4198,7 +4266,7 @@
        "    <g id=\"xtick_6\">\n",
        "     <g id=\"line2d_6\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mf5d8a54ae5\" x=\"224.843437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mcd63974f3c\" x=\"224.843437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_6\">\n",
@@ -4213,7 +4281,7 @@
        "    <g id=\"xtick_7\">\n",
        "     <g id=\"line2d_7\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mf5d8a54ae5\" x=\"258.107437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mcd63974f3c\" x=\"258.107437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_7\">\n",
@@ -4228,7 +4296,7 @@
        "    <g id=\"xtick_8\">\n",
        "     <g id=\"line2d_8\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mf5d8a54ae5\" x=\"291.371437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mcd63974f3c\" x=\"291.371437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_8\">\n",
@@ -4243,7 +4311,7 @@
        "    <g id=\"xtick_9\">\n",
        "     <g id=\"line2d_9\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mf5d8a54ae5\" x=\"324.635437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mcd63974f3c\" x=\"324.635437\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_9\">\n",
@@ -4355,12 +4423,12 @@
        "    <g id=\"ytick_1\">\n",
        "     <g id=\"line2d_10\">\n",
        "      <defs>\n",
-       "       <path id=\"md472d7b512\" d=\"M 0 0 \n",
+       "       <path id=\"m8f64e9e8d7\" d=\"M 0 0 \n",
        "L -3.5 0 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#md472d7b512\" x=\"58.523438\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m8f64e9e8d7\" x=\"58.523438\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_11\">\n",
@@ -4377,7 +4445,7 @@
        "    <g id=\"ytick_2\">\n",
        "     <g id=\"line2d_11\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#md472d7b512\" x=\"58.523438\" y=\"255.166125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m8f64e9e8d7\" x=\"58.523438\" y=\"255.166125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_12\">\n",
@@ -4393,7 +4461,7 @@
        "    <g id=\"ytick_3\">\n",
        "     <g id=\"line2d_12\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#md472d7b512\" x=\"58.523438\" y=\"221.902125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m8f64e9e8d7\" x=\"58.523438\" y=\"221.902125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_13\">\n",
@@ -4409,7 +4477,7 @@
        "    <g id=\"ytick_4\">\n",
        "     <g id=\"line2d_13\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#md472d7b512\" x=\"58.523438\" y=\"188.638125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m8f64e9e8d7\" x=\"58.523438\" y=\"188.638125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_14\">\n",
@@ -4425,7 +4493,7 @@
        "    <g id=\"ytick_5\">\n",
        "     <g id=\"line2d_14\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#md472d7b512\" x=\"58.523438\" y=\"155.374125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m8f64e9e8d7\" x=\"58.523438\" y=\"155.374125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_15\">\n",
@@ -4440,7 +4508,7 @@
        "    <g id=\"ytick_6\">\n",
        "     <g id=\"line2d_15\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#md472d7b512\" x=\"58.523438\" y=\"122.110125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m8f64e9e8d7\" x=\"58.523438\" y=\"122.110125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_16\">\n",
@@ -4455,7 +4523,7 @@
        "    <g id=\"ytick_7\">\n",
        "     <g id=\"line2d_16\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#md472d7b512\" x=\"58.523438\" y=\"88.846125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m8f64e9e8d7\" x=\"58.523438\" y=\"88.846125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_17\">\n",
@@ -4470,7 +4538,7 @@
        "    <g id=\"ytick_8\">\n",
        "     <g id=\"line2d_17\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#md472d7b512\" x=\"58.523438\" y=\"55.582125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m8f64e9e8d7\" x=\"58.523438\" y=\"55.582125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_18\">\n",
@@ -4485,7 +4553,7 @@
        "    <g id=\"ytick_9\">\n",
        "     <g id=\"line2d_18\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#md472d7b512\" x=\"58.523438\" y=\"22.318125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m8f64e9e8d7\" x=\"58.523438\" y=\"22.318125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_19\">\n",
@@ -4669,7 +4737,7 @@
        "  </g>\n",
        " </g>\n",
        " <defs>\n",
-       "  <clipPath id=\"p0f8458b696\">\n",
+       "  <clipPath id=\"p224d2e4ba9\">\n",
        "   <rect x=\"58.523438\" y=\"22.318125\" width=\"266.112\" height=\"266.112\"/>\n",
        "  </clipPath>\n",
        " </defs>\n",
@@ -4699,7 +4767,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 107,
+   "execution_count": 33,
    "metadata": {},
    "outputs": [
     {
@@ -4725,7 +4793,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 108,
+   "execution_count": 34,
    "metadata": {},
    "outputs": [
     {
@@ -4734,7 +4802,7 @@
        "Text(0.5, 1.0, 'Schmidt mode 1')"
       ]
      },
-     "execution_count": 108,
+     "execution_count": 34,
      "metadata": {},
      "output_type": "execute_result"
     },
@@ -4744,12 +4812,12 @@
        "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
        "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
        "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
-       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"422.843437pt\" height=\"312.30825pt\" viewBox=\"0 0 422.843437 312.30825\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
+       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"414.46375pt\" height=\"312.30825pt\" viewBox=\"0 0 414.46375 312.30825\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
        " <metadata>\n",
        "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2024-09-30T21:35:09.993846</dc:date>\n",
+       "    <dc:date>2024-10-02T12:33:25.618635</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
@@ -4765,18 +4833,18 @@
        " <g id=\"figure_1\">\n",
        "  <g id=\"patch_1\">\n",
        "   <path d=\"M 0 312.30825 \n",
-       "L 422.843437 312.30825 \n",
-       "L 422.843437 0 \n",
+       "L 414.46375 312.30825 \n",
+       "L 414.46375 0 \n",
        "L 0 0 \n",
        "z\n",
        "\" style=\"fill: #ffffff\"/>\n",
        "  </g>\n",
        "  <g id=\"axes_1\">\n",
        "   <g id=\"patch_2\">\n",
-       "    <path d=\"M 58.523438 288.430125 \n",
-       "L 415.643438 288.430125 \n",
-       "L 415.643438 22.318125 \n",
-       "L 58.523438 22.318125 \n",
+       "    <path d=\"M 50.14375 288.430125 \n",
+       "L 407.26375 288.430125 \n",
+       "L 407.26375 22.318125 \n",
+       "L 50.14375 22.318125 \n",
        "z\n",
        "\" style=\"fill: #ffffff\"/>\n",
        "   </g>\n",
@@ -4784,17 +4852,17 @@
        "    <g id=\"xtick_1\">\n",
        "     <g id=\"line2d_1\">\n",
        "      <defs>\n",
-       "       <path id=\"m1ffe040976\" d=\"M 0 0 \n",
+       "       <path id=\"m59c3f1a8d1\" d=\"M 0 0 \n",
        "L 0 3.5 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1ffe040976\" x=\"74.756165\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m59c3f1a8d1\" x=\"66.376477\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_1\">\n",
        "      <!-- −10.0 -->\n",
-       "      <g transform=\"translate(59.433509 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(51.053821 303.028562) scale(0.1 -0.1)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-2212\" d=\"M 678 2272 \n",
        "L 4684 2272 \n",
@@ -4857,12 +4925,12 @@
        "    <g id=\"xtick_2\">\n",
        "     <g id=\"line2d_2\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1ffe040976\" x=\"115.337983\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m59c3f1a8d1\" x=\"106.958295\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_2\">\n",
        "      <!-- −7.5 -->\n",
-       "      <g transform=\"translate(103.196577 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(94.816889 303.028562) scale(0.1 -0.1)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-37\" d=\"M 525 4666 \n",
        "L 3525 4666 \n",
@@ -4910,12 +4978,12 @@
        "    <g id=\"xtick_3\">\n",
        "     <g id=\"line2d_3\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1ffe040976\" x=\"155.919801\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m59c3f1a8d1\" x=\"147.540114\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_3\">\n",
        "      <!-- −5.0 -->\n",
-       "      <g transform=\"translate(143.778395 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(135.398707 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-35\" x=\"83.789062\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
@@ -4926,12 +4994,12 @@
        "    <g id=\"xtick_4\">\n",
        "     <g id=\"line2d_4\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1ffe040976\" x=\"196.501619\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m59c3f1a8d1\" x=\"188.121932\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_4\">\n",
        "      <!-- −2.5 -->\n",
-       "      <g transform=\"translate(184.360213 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(175.980526 303.028562) scale(0.1 -0.1)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-32\" d=\"M 1228 531 \n",
        "L 3431 531 \n",
@@ -4968,12 +5036,12 @@
        "    <g id=\"xtick_5\">\n",
        "     <g id=\"line2d_5\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1ffe040976\" x=\"237.083438\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m59c3f1a8d1\" x=\"228.70375\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_5\">\n",
        "      <!-- 0.0 -->\n",
-       "      <g transform=\"translate(229.131875 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(220.752188 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
@@ -4983,12 +5051,12 @@
        "    <g id=\"xtick_6\">\n",
        "     <g id=\"line2d_6\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1ffe040976\" x=\"277.665256\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m59c3f1a8d1\" x=\"269.285568\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_6\">\n",
        "      <!-- 2.5 -->\n",
-       "      <g transform=\"translate(269.713693 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(261.334006 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n",
@@ -4998,12 +5066,12 @@
        "    <g id=\"xtick_7\">\n",
        "     <g id=\"line2d_7\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1ffe040976\" x=\"318.247074\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m59c3f1a8d1\" x=\"309.867386\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_7\">\n",
        "      <!-- 5.0 -->\n",
-       "      <g transform=\"translate(310.295511 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(301.915824 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-35\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
@@ -5013,12 +5081,12 @@
        "    <g id=\"xtick_8\">\n",
        "     <g id=\"line2d_8\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1ffe040976\" x=\"358.828892\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m59c3f1a8d1\" x=\"350.449205\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_8\">\n",
        "      <!-- 7.5 -->\n",
-       "      <g transform=\"translate(350.87733 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(342.497642 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-37\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n",
@@ -5028,12 +5096,12 @@
        "    <g id=\"xtick_9\">\n",
        "     <g id=\"line2d_9\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m1ffe040976\" x=\"399.41071\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m59c3f1a8d1\" x=\"391.031023\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_9\">\n",
        "      <!-- 10.0 -->\n",
-       "      <g transform=\"translate(388.277898 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(379.89821 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"127.246094\"/>\n",
@@ -5046,51 +5114,17 @@
        "    <g id=\"ytick_1\">\n",
        "     <g id=\"line2d_10\">\n",
        "      <defs>\n",
-       "       <path id=\"m8e256405ca\" d=\"M 0 0 \n",
+       "       <path id=\"m0c132360e9\" d=\"M 0 0 \n",
        "L -3.5 0 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m8e256405ca\" x=\"58.523438\" y=\"260.486165\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m0c132360e9\" x=\"50.14375\" y=\"239.887419\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_10\">\n",
-       "      <!-- −0.10 -->\n",
-       "      <g transform=\"translate(20.878125 264.285384) scale(0.1 -0.1)\">\n",
-       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"83.789062\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-31\" x=\"179.199219\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"242.822266\"/>\n",
-       "      </g>\n",
-       "     </g>\n",
-       "    </g>\n",
-       "    <g id=\"ytick_2\">\n",
-       "     <g id=\"line2d_11\">\n",
-       "      <g>\n",
-       "       <use xlink:href=\"#m8e256405ca\" x=\"58.523438\" y=\"223.073386\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
-       "      </g>\n",
-       "     </g>\n",
-       "     <g id=\"text_11\">\n",
-       "      <!-- −0.05 -->\n",
-       "      <g transform=\"translate(20.878125 226.872605) scale(0.1 -0.1)\">\n",
-       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"83.789062\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"179.199219\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-35\" x=\"242.822266\"/>\n",
-       "      </g>\n",
-       "     </g>\n",
-       "    </g>\n",
-       "    <g id=\"ytick_3\">\n",
-       "     <g id=\"line2d_12\">\n",
-       "      <g>\n",
-       "       <use xlink:href=\"#m8e256405ca\" x=\"58.523438\" y=\"185.660607\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
-       "      </g>\n",
-       "     </g>\n",
-       "     <g id=\"text_12\">\n",
        "      <!-- 0.00 -->\n",
-       "      <g transform=\"translate(29.257813 189.459826) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(20.878125 243.686638) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
@@ -5098,15 +5132,15 @@
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"ytick_4\">\n",
-       "     <g id=\"line2d_13\">\n",
+       "    <g id=\"ytick_2\">\n",
+       "     <g id=\"line2d_11\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m8e256405ca\" x=\"58.523438\" y=\"148.247828\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m0c132360e9\" x=\"50.14375\" y=\"189.060934\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
-       "     <g id=\"text_13\">\n",
+       "     <g id=\"text_11\">\n",
        "      <!-- 0.05 -->\n",
-       "      <g transform=\"translate(29.257813 152.047047) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(20.878125 192.860153) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
@@ -5114,15 +5148,15 @@
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"ytick_5\">\n",
-       "     <g id=\"line2d_14\">\n",
+       "    <g id=\"ytick_3\">\n",
+       "     <g id=\"line2d_12\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m8e256405ca\" x=\"58.523438\" y=\"110.835049\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m0c132360e9\" x=\"50.14375\" y=\"138.23445\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
-       "     <g id=\"text_14\">\n",
+       "     <g id=\"text_12\">\n",
        "      <!-- 0.10 -->\n",
-       "      <g transform=\"translate(29.257813 114.634268) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(20.878125 142.033669) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-31\" x=\"95.410156\"/>\n",
@@ -5130,15 +5164,15 @@
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"ytick_6\">\n",
-       "     <g id=\"line2d_15\">\n",
+       "    <g id=\"ytick_4\">\n",
+       "     <g id=\"line2d_13\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m8e256405ca\" x=\"58.523438\" y=\"73.42227\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m0c132360e9\" x=\"50.14375\" y=\"87.407966\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
-       "     <g id=\"text_15\">\n",
+       "     <g id=\"text_13\">\n",
        "      <!-- 0.15 -->\n",
-       "      <g transform=\"translate(29.257813 77.221488) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(20.878125 91.207185) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-31\" x=\"95.410156\"/>\n",
@@ -5146,15 +5180,15 @@
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"ytick_7\">\n",
-       "     <g id=\"line2d_16\">\n",
+       "    <g id=\"ytick_5\">\n",
+       "     <g id=\"line2d_14\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m8e256405ca\" x=\"58.523438\" y=\"36.009491\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m0c132360e9\" x=\"50.14375\" y=\"36.581481\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
-       "     <g id=\"text_16\">\n",
+       "     <g id=\"text_14\">\n",
        "      <!-- 0.20 -->\n",
-       "      <g transform=\"translate(29.257813 39.808709) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(20.878125 40.3807) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-32\" x=\"95.410156\"/>\n",
@@ -5162,7 +5196,7 @@
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"text_17\">\n",
+       "    <g id=\"text_15\">\n",
        "     <!-- Amplitude -->\n",
        "     <g transform=\"translate(14.798438 180.996781) rotate(-90) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
@@ -5365,263 +5399,247 @@
        "     </g>\n",
        "    </g>\n",
        "   </g>\n",
-       "   <g id=\"line2d_17\">\n",
-       "    <path d=\"M 74.756165 185.660607 \n",
-       "L 175.399074 185.550292 \n",
-       "L 178.645619 185.257941 \n",
-       "L 181.892165 184.766462 \n",
-       "L 188.385256 183.641747 \n",
-       "L 190.549619 183.602267 \n",
-       "L 191.631801 183.738973 \n",
-       "L 192.713983 184.013294 \n",
-       "L 193.796165 184.449888 \n",
-       "L 194.878347 185.071519 \n",
-       "L 195.960528 185.897461 \n",
-       "L 197.04271 186.941747 \n",
-       "L 198.124892 188.21133 \n",
-       "L 199.207074 189.704239 \n",
-       "L 201.371438 193.297174 \n",
-       "L 204.617983 199.62356 \n",
-       "L 206.782347 203.680868 \n",
-       "L 207.864528 205.377538 \n",
-       "L 208.94671 206.701038 \n",
-       "L 210.028892 207.529158 \n",
-       "L 211.111074 207.737552 \n",
-       "L 212.193256 207.204198 \n",
-       "L 213.275438 205.814283 \n",
-       "L 214.357619 203.465359 \n",
-       "L 215.439801 200.072538 \n",
-       "L 216.521983 195.573519 \n",
-       "L 217.604165 189.933195 \n",
-       "L 218.686347 183.147598 \n",
-       "L 219.768528 175.246957 \n",
-       "L 220.85071 166.297666 \n",
-       "L 223.015074 145.702357 \n",
-       "L 226.261619 110.647559 \n",
-       "L 229.508165 76.116536 \n",
-       "L 230.590347 65.932182 \n",
-       "L 231.672528 56.833765 \n",
-       "L 232.75471 49.048164 \n",
-       "L 233.836892 42.773112 \n",
-       "L 234.919074 38.170248 \n",
-       "L 236.001256 35.359369 \n",
-       "L 237.083438 34.414125 \n",
-       "L 238.165619 35.359369 \n",
-       "L 239.247801 38.170248 \n",
-       "L 240.329983 42.773112 \n",
-       "L 241.412165 49.048164 \n",
-       "L 242.494347 56.833765 \n",
-       "L 243.576528 65.932182 \n",
-       "L 245.740892 87.138646 \n",
-       "L 252.233983 156.402983 \n",
-       "L 254.398347 175.246957 \n",
-       "L 255.480528 183.147598 \n",
-       "L 256.56271 189.933195 \n",
-       "L 257.644892 195.573519 \n",
-       "L 258.727074 200.072538 \n",
-       "L 259.809256 203.465359 \n",
-       "L 260.891437 205.814283 \n",
-       "L 261.973619 207.204198 \n",
-       "L 263.055801 207.737552 \n",
-       "L 264.137983 207.529158 \n",
-       "L 265.220165 206.701038 \n",
-       "L 266.302347 205.377538 \n",
-       "L 267.384528 203.680868 \n",
-       "L 269.548892 199.62356 \n",
-       "L 272.795437 193.297174 \n",
-       "L 274.959801 189.704239 \n",
-       "L 276.041983 188.21133 \n",
-       "L 277.124165 186.941747 \n",
-       "L 278.206347 185.897461 \n",
-       "L 279.288528 185.071519 \n",
-       "L 280.37071 184.449888 \n",
-       "L 281.452892 184.013294 \n",
-       "L 282.535074 183.738973 \n",
-       "L 283.617256 183.602267 \n",
-       "L 285.781619 183.641747 \n",
-       "L 287.945983 183.943778 \n",
-       "L 295.521256 185.257941 \n",
-       "L 298.767801 185.550292 \n",
-       "L 303.096528 185.69834 \n",
-       "L 312.836165 185.689474 \n",
-       "L 355.041256 185.660651 \n",
-       "L 399.41071 185.660607 \n",
-       "L 399.41071 185.660607 \n",
-       "\" clip-path=\"url(#p27b12666d4)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "   <g id=\"line2d_15\">\n",
+       "    <path d=\"M 66.376477 239.887419 \n",
+       "L 164.855023 239.963079 \n",
+       "L 168.101568 240.19443 \n",
+       "L 171.348114 240.622333 \n",
+       "L 174.594659 241.29142 \n",
+       "L 177.841205 242.18404 \n",
+       "L 183.252114 243.713131 \n",
+       "L 185.416477 244.012934 \n",
+       "L 186.498659 244.007864 \n",
+       "L 187.580841 243.860836 \n",
+       "L 188.663023 243.539259 \n",
+       "L 189.745205 243.007998 \n",
+       "L 190.827386 242.229779 \n",
+       "L 191.909568 241.165719 \n",
+       "L 192.99175 239.775965 \n",
+       "L 194.073932 238.020449 \n",
+       "L 195.156114 235.859737 \n",
+       "L 196.238295 233.255977 \n",
+       "L 197.320477 230.173918 \n",
+       "L 198.402659 226.581977 \n",
+       "L 199.484841 222.453345 \n",
+       "L 200.567023 217.76708 \n",
+       "L 201.649205 212.509185 \n",
+       "L 203.813568 200.263181 \n",
+       "L 205.977932 185.777889 \n",
+       "L 208.142295 169.278745 \n",
+       "L 210.306659 151.164132 \n",
+       "L 218.964114 75.839539 \n",
+       "L 221.128477 60.43231 \n",
+       "L 222.210659 53.824975 \n",
+       "L 223.292841 48.070521 \n",
+       "L 224.375023 43.248059 \n",
+       "L 225.457205 39.424745 \n",
+       "L 226.539386 36.654367 \n",
+       "L 227.621568 34.976192 \n",
+       "L 228.70375 34.414125 \n",
+       "L 229.785932 34.976192 \n",
+       "L 230.868114 36.654367 \n",
+       "L 231.950295 39.424745 \n",
+       "L 233.032477 43.248059 \n",
+       "L 234.114659 48.070521 \n",
+       "L 235.196841 53.824975 \n",
+       "L 236.279023 60.43231 \n",
+       "L 238.443386 75.839539 \n",
+       "L 240.60775 93.487429 \n",
+       "L 244.936477 132.000481 \n",
+       "L 248.183023 160.39174 \n",
+       "L 250.347386 177.759225 \n",
+       "L 252.51175 193.290359 \n",
+       "L 254.676114 206.673612 \n",
+       "L 256.840477 217.76708 \n",
+       "L 257.922659 222.453345 \n",
+       "L 259.004841 226.581977 \n",
+       "L 260.087023 230.173918 \n",
+       "L 261.169205 233.255977 \n",
+       "L 262.251386 235.859737 \n",
+       "L 263.333568 238.020449 \n",
+       "L 264.41575 239.775965 \n",
+       "L 265.497932 241.165719 \n",
+       "L 266.580114 242.229779 \n",
+       "L 267.662295 243.007998 \n",
+       "L 268.744477 243.539259 \n",
+       "L 269.826659 243.860836 \n",
+       "L 270.908841 244.007864 \n",
+       "L 271.991023 244.012934 \n",
+       "L 274.155386 243.713131 \n",
+       "L 277.401932 242.842147 \n",
+       "L 282.812841 241.29142 \n",
+       "L 286.059386 240.622333 \n",
+       "L 289.305932 240.19443 \n",
+       "L 293.634659 239.918546 \n",
+       "L 299.045568 239.839514 \n",
+       "L 391.031023 239.887419 \n",
+       "L 391.031023 239.887419 \n",
+       "\" clip-path=\"url(#pb4ea7aae00)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "   </g>\n",
-       "   <g id=\"line2d_18\">\n",
-       "    <path d=\"M 74.756165 185.660607 \n",
-       "L 175.399074 185.770766 \n",
-       "L 179.727801 185.772275 \n",
-       "L 182.974347 185.522242 \n",
-       "L 185.13871 185.12508 \n",
-       "L 187.303074 184.47905 \n",
-       "L 189.467437 183.559969 \n",
-       "L 191.631801 182.400172 \n",
-       "L 195.960528 179.93149 \n",
-       "L 197.04271 179.477926 \n",
-       "L 198.124892 179.185143 \n",
-       "L 199.207074 179.11177 \n",
-       "L 200.289256 179.320788 \n",
-       "L 201.371438 179.877646 \n",
-       "L 202.453619 180.847937 \n",
-       "L 203.535801 182.294679 \n",
-       "L 204.617983 184.275274 \n",
-       "L 205.700165 186.838238 \n",
-       "L 206.782347 190.019842 \n",
-       "L 207.864528 193.8408 \n",
-       "L 208.94671 198.303167 \n",
-       "L 210.028892 203.387635 \n",
-       "L 212.193256 215.226639 \n",
-       "L 214.357619 228.7136 \n",
-       "L 217.604165 249.673938 \n",
-       "L 219.768528 262.066772 \n",
-       "L 220.85071 267.198336 \n",
-       "L 221.932892 271.359893 \n",
-       "L 223.015074 274.37145 \n",
-       "L 224.097256 276.07358 \n",
-       "L 225.179437 276.334125 \n",
-       "L 226.261619 275.054263 \n",
-       "L 227.343801 272.173607 \n",
-       "L 228.425983 267.67411 \n",
-       "L 229.508165 261.582529 \n",
-       "L 230.590347 253.971315 \n",
-       "L 231.672528 244.957821 \n",
-       "L 233.836892 223.401328 \n",
-       "L 236.001256 198.615444 \n",
-       "L 240.329983 147.919886 \n",
-       "L 242.494347 126.363392 \n",
-       "L 243.576528 117.349899 \n",
-       "L 244.65871 109.738685 \n",
-       "L 245.740892 103.647104 \n",
-       "L 246.823074 99.147606 \n",
-       "L 247.905256 96.266951 \n",
-       "L 248.987437 94.987089 \n",
-       "L 250.069619 95.247634 \n",
-       "L 251.151801 96.949763 \n",
-       "L 252.233983 99.961321 \n",
-       "L 253.316165 104.122878 \n",
-       "L 254.398347 109.254442 \n",
-       "L 256.56271 121.647276 \n",
-       "L 263.055801 162.269833 \n",
-       "L 265.220165 173.018047 \n",
-       "L 266.302347 177.480414 \n",
-       "L 267.384528 181.301371 \n",
-       "L 268.46671 184.482976 \n",
-       "L 269.548892 187.04594 \n",
-       "L 270.631074 189.026535 \n",
-       "L 271.713256 190.473277 \n",
-       "L 272.795437 191.443568 \n",
-       "L 273.877619 192.000425 \n",
-       "L 274.959801 192.209444 \n",
-       "L 276.041983 192.136071 \n",
-       "L 277.124165 191.843288 \n",
-       "L 279.288528 190.82824 \n",
-       "L 284.699437 187.761245 \n",
-       "L 286.863801 186.842164 \n",
-       "L 289.028165 186.196134 \n",
-       "L 291.192528 185.798972 \n",
-       "L 293.356892 185.596652 \n",
-       "L 296.603437 185.523373 \n",
-       "L 324.740165 185.667083 \n",
-       "L 399.41071 185.660607 \n",
-       "L 399.41071 185.660607 \n",
-       "\" clip-path=\"url(#p27b12666d4)\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "   <g id=\"line2d_16\">\n",
+       "    <path d=\"M 66.376477 239.887419 \n",
+       "L 170.265932 239.992042 \n",
+       "L 173.512477 240.269191 \n",
+       "L 176.759023 240.813923 \n",
+       "L 178.923386 241.397589 \n",
+       "L 181.08775 242.216192 \n",
+       "L 183.252114 243.322361 \n",
+       "L 185.416477 244.765894 \n",
+       "L 187.580841 246.587687 \n",
+       "L 189.745205 248.812629 \n",
+       "L 191.909568 251.44201 \n",
+       "L 194.073932 254.446264 \n",
+       "L 197.320477 259.499306 \n",
+       "L 202.731386 268.280452 \n",
+       "L 204.89575 271.375622 \n",
+       "L 207.060114 273.898667 \n",
+       "L 208.142295 274.873739 \n",
+       "L 209.224477 275.621177 \n",
+       "L 210.306659 276.115613 \n",
+       "L 211.388841 276.334125 \n",
+       "L 212.471023 276.256846 \n",
+       "L 213.553205 275.867522 \n",
+       "L 214.635386 275.15403 \n",
+       "L 215.717568 274.108816 \n",
+       "L 216.79975 272.729257 \n",
+       "L 217.881932 271.017919 \n",
+       "L 218.964114 268.982714 \n",
+       "L 220.046295 266.636938 \n",
+       "L 222.210659 261.09315 \n",
+       "L 224.375023 254.59442 \n",
+       "L 227.621568 243.674606 \n",
+       "L 231.950295 228.703724 \n",
+       "L 234.114659 221.827542 \n",
+       "L 236.279023 215.775651 \n",
+       "L 238.443386 210.792123 \n",
+       "L 239.525568 208.756919 \n",
+       "L 240.60775 207.045581 \n",
+       "L 241.689932 205.666022 \n",
+       "L 242.772114 204.620808 \n",
+       "L 243.854295 203.907316 \n",
+       "L 244.936477 203.517992 \n",
+       "L 246.018659 203.440713 \n",
+       "L 247.100841 203.659225 \n",
+       "L 248.183023 204.15366 \n",
+       "L 249.265205 204.901099 \n",
+       "L 250.347386 205.87617 \n",
+       "L 251.429568 207.051677 \n",
+       "L 253.593932 209.889788 \n",
+       "L 255.758295 213.184533 \n",
+       "L 263.333568 225.328574 \n",
+       "L 265.497932 228.332828 \n",
+       "L 267.662295 230.962209 \n",
+       "L 269.826659 233.187151 \n",
+       "L 271.991023 235.008944 \n",
+       "L 274.155386 236.452476 \n",
+       "L 276.31975 237.558645 \n",
+       "L 278.484114 238.377248 \n",
+       "L 280.648477 238.960915 \n",
+       "L 282.812841 239.360419 \n",
+       "L 286.059386 239.712458 \n",
+       "L 290.388114 239.904088 \n",
+       "L 297.963386 239.947033 \n",
+       "L 362.894295 239.887421 \n",
+       "L 391.031023 239.887419 \n",
+       "L 391.031023 239.887419 \n",
+       "\" clip-path=\"url(#pb4ea7aae00)\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "   </g>\n",
-       "   <g id=\"line2d_19\">\n",
-       "    <path d=\"M 74.756165 185.660607 \n",
-       "L 174.316892 185.557798 \n",
-       "L 178.645619 185.236279 \n",
-       "L 181.892165 184.766305 \n",
-       "L 185.13871 184.051765 \n",
-       "L 188.385256 183.080045 \n",
-       "L 191.631801 181.876018 \n",
-       "L 194.878347 180.459505 \n",
-       "L 197.04271 179.346586 \n",
-       "L 199.207074 177.96397 \n",
-       "L 200.289256 177.103517 \n",
-       "L 201.371438 176.081474 \n",
-       "L 202.453619 174.856257 \n",
-       "L 203.535801 173.385552 \n",
-       "L 204.617983 171.6291 \n",
-       "L 205.700165 169.550895 \n",
-       "L 206.782347 167.120576 \n",
-       "L 207.864528 164.31411 \n",
-       "L 208.94671 161.114038 \n",
-       "L 210.028892 157.509567 \n",
-       "L 212.193256 149.078145 \n",
-       "L 214.357619 139.071236 \n",
-       "L 216.521983 127.655976 \n",
-       "L 218.686347 115.117754 \n",
-       "L 227.343801 63.022373 \n",
-       "L 229.508165 52.378794 \n",
-       "L 230.590347 47.81559 \n",
-       "L 231.672528 43.842009 \n",
-       "L 232.75471 40.51241 \n",
-       "L 233.836892 37.872928 \n",
-       "L 234.919074 35.960502 \n",
-       "L 236.001256 34.802097 \n",
-       "L 237.083438 34.414125 \n",
-       "L 238.165619 34.802097 \n",
-       "L 239.247801 35.960502 \n",
-       "L 240.329983 37.872928 \n",
-       "L 241.412165 40.51241 \n",
-       "L 242.494347 43.842009 \n",
-       "L 243.576528 47.81559 \n",
-       "L 244.65871 52.378794 \n",
-       "L 246.823074 63.022373 \n",
-       "L 248.987437 75.219047 \n",
-       "L 253.316165 101.855328 \n",
-       "L 256.56271 121.504847 \n",
-       "L 258.727074 133.524573 \n",
-       "L 260.891437 144.263949 \n",
-       "L 263.055801 153.496655 \n",
-       "L 265.220165 161.114038 \n",
-       "L 266.302347 164.31411 \n",
-       "L 267.384528 167.120576 \n",
-       "L 268.46671 169.550895 \n",
-       "L 269.548892 171.6291 \n",
-       "L 270.631074 173.385552 \n",
-       "L 271.713256 174.856257 \n",
-       "L 272.795437 176.081474 \n",
-       "L 273.877619 177.103517 \n",
-       "L 276.041983 178.700878 \n",
-       "L 278.206347 179.926596 \n",
-       "L 281.452892 181.428687 \n",
-       "L 284.699437 182.702593 \n",
-       "L 287.945983 183.755874 \n",
-       "L 291.192528 184.556733 \n",
-       "L 294.439074 185.104527 \n",
-       "L 297.685619 185.434453 \n",
-       "L 302.014347 185.612699 \n",
-       "L 360.452165 185.660544 \n",
-       "L 399.41071 185.660607 \n",
-       "L 399.41071 185.660607 \n",
-       "\" clip-path=\"url(#p27b12666d4)\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "   <g id=\"line2d_17\">\n",
+       "    <path d=\"M 66.376477 239.887418 \n",
+       "L 164.855023 239.797088 \n",
+       "L 168.101568 239.580182 \n",
+       "L 171.348114 239.131966 \n",
+       "L 174.594659 238.38777 \n",
+       "L 176.759023 237.701755 \n",
+       "L 180.005568 236.381641 \n",
+       "L 183.252114 234.74593 \n",
+       "L 186.498659 232.821552 \n",
+       "L 188.663023 231.309614 \n",
+       "L 190.827386 229.431285 \n",
+       "L 191.909568 228.262333 \n",
+       "L 192.99175 226.873853 \n",
+       "L 194.073932 225.209356 \n",
+       "L 195.156114 223.211355 \n",
+       "L 196.238295 220.825157 \n",
+       "L 197.320477 218.001848 \n",
+       "L 198.402659 214.700181 \n",
+       "L 199.484841 210.887504 \n",
+       "L 200.567023 206.540101 \n",
+       "L 201.649205 201.64331 \n",
+       "L 203.813568 190.188947 \n",
+       "L 205.977932 176.594235 \n",
+       "L 208.142295 161.08623 \n",
+       "L 210.306659 144.052646 \n",
+       "L 218.964114 73.279366 \n",
+       "L 221.128477 58.819715 \n",
+       "L 222.210659 52.620454 \n",
+       "L 223.292841 47.222214 \n",
+       "L 224.375023 42.698845 \n",
+       "L 225.457205 39.113022 \n",
+       "L 226.539386 36.514929 \n",
+       "L 227.621568 34.941197 \n",
+       "L 228.70375 34.414125 \n",
+       "L 229.785932 34.941197 \n",
+       "L 230.868114 36.514929 \n",
+       "L 231.950295 39.113022 \n",
+       "L 233.032477 42.698845 \n",
+       "L 234.114659 47.222214 \n",
+       "L 235.196841 52.620454 \n",
+       "L 236.279023 58.819715 \n",
+       "L 238.443386 73.279366 \n",
+       "L 240.60775 89.848946 \n",
+       "L 244.936477 126.035206 \n",
+       "L 248.183023 152.72972 \n",
+       "L 250.347386 169.058911 \n",
+       "L 252.51175 183.648705 \n",
+       "L 254.676114 196.191638 \n",
+       "L 256.840477 206.540101 \n",
+       "L 257.922659 210.887504 \n",
+       "L 259.004841 214.700181 \n",
+       "L 260.087023 218.001848 \n",
+       "L 261.169205 220.825157 \n",
+       "L 262.251386 223.211355 \n",
+       "L 263.333568 225.209356 \n",
+       "L 264.41575 226.873853 \n",
+       "L 265.497932 228.262333 \n",
+       "L 266.580114 229.431285 \n",
+       "L 268.744477 231.309614 \n",
+       "L 270.908841 232.821552 \n",
+       "L 274.155386 234.74593 \n",
+       "L 277.401932 236.381641 \n",
+       "L 280.648477 237.701755 \n",
+       "L 282.812841 238.38777 \n",
+       "L 286.059386 239.131966 \n",
+       "L 289.305932 239.580182 \n",
+       "L 292.552477 239.797088 \n",
+       "L 297.963386 239.812739 \n",
+       "L 391.031023 239.887418 \n",
+       "L 391.031023 239.887418 \n",
+       "\" clip-path=\"url(#pb4ea7aae00)\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_3\">\n",
-       "    <path d=\"M 58.523438 288.430125 \n",
-       "L 58.523438 22.318125 \n",
+       "    <path d=\"M 50.14375 288.430125 \n",
+       "L 50.14375 22.318125 \n",
        "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_4\">\n",
-       "    <path d=\"M 415.643438 288.430125 \n",
-       "L 415.643438 22.318125 \n",
+       "    <path d=\"M 407.26375 288.430125 \n",
+       "L 407.26375 22.318125 \n",
        "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_5\">\n",
-       "    <path d=\"M 58.523438 288.430125 \n",
-       "L 415.643438 288.430125 \n",
+       "    <path d=\"M 50.14375 288.430125 \n",
+       "L 407.26375 288.430125 \n",
        "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_6\">\n",
-       "    <path d=\"M 58.523438 22.318125 \n",
-       "L 415.643438 22.318125 \n",
+       "    <path d=\"M 50.14375 22.318125 \n",
+       "L 407.26375 22.318125 \n",
        "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
        "   </g>\n",
-       "   <g id=\"text_18\">\n",
+       "   <g id=\"text_16\">\n",
        "    <!-- Schmidt mode 1 -->\n",
-       "    <g transform=\"translate(187.8525 16.318125) scale(0.12 -0.12)\">\n",
+       "    <g transform=\"translate(179.472813 16.318125) scale(0.12 -0.12)\">\n",
        "     <defs>\n",
        "      <path id=\"DejaVuSans-53\" d=\"M 3425 4513 \n",
        "L 3425 3897 \n",
@@ -5735,27 +5753,27 @@
        "   </g>\n",
        "   <g id=\"legend_1\">\n",
        "    <g id=\"patch_7\">\n",
-       "     <path d=\"M 358.245 74.3525 \n",
-       "L 408.643438 74.3525 \n",
-       "Q 410.643438 74.3525 410.643438 72.3525 \n",
-       "L 410.643438 29.318125 \n",
-       "Q 410.643438 27.318125 408.643438 27.318125 \n",
-       "L 358.245 27.318125 \n",
-       "Q 356.245 27.318125 356.245 29.318125 \n",
-       "L 356.245 72.3525 \n",
-       "Q 356.245 74.3525 358.245 74.3525 \n",
+       "     <path d=\"M 349.865313 74.3525 \n",
+       "L 400.26375 74.3525 \n",
+       "Q 402.26375 74.3525 402.26375 72.3525 \n",
+       "L 402.26375 29.318125 \n",
+       "Q 402.26375 27.318125 400.26375 27.318125 \n",
+       "L 349.865313 27.318125 \n",
+       "Q 347.865313 27.318125 347.865313 29.318125 \n",
+       "L 347.865313 72.3525 \n",
+       "Q 347.865313 74.3525 349.865313 74.3525 \n",
        "z\n",
        "\" style=\"fill: #ffffff; opacity: 0.8; stroke: #cccccc; stroke-linejoin: miter\"/>\n",
        "    </g>\n",
-       "    <g id=\"line2d_20\">\n",
-       "     <path d=\"M 360.245 35.416562 \n",
-       "L 370.245 35.416562 \n",
-       "L 380.245 35.416562 \n",
+       "    <g id=\"line2d_18\">\n",
+       "     <path d=\"M 351.865313 35.416562 \n",
+       "L 361.865313 35.416562 \n",
+       "L 371.865313 35.416562 \n",
        "\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "    </g>\n",
-       "    <g id=\"text_19\">\n",
+       "    <g id=\"text_17\">\n",
        "     <!-- Re -->\n",
-       "     <g transform=\"translate(388.245 38.916562) scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(379.865313 38.916562) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
        "       <path id=\"DejaVuSans-52\" d=\"M 2841 2188 \n",
        "Q 3044 2119 3236 1894 \n",
@@ -5790,15 +5808,15 @@
        "      <use xlink:href=\"#DejaVuSans-65\" x=\"64.982422\"/>\n",
        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"line2d_21\">\n",
-       "     <path d=\"M 360.245 50.094687 \n",
-       "L 370.245 50.094687 \n",
-       "L 380.245 50.094687 \n",
+       "    <g id=\"line2d_19\">\n",
+       "     <path d=\"M 351.865313 50.094687 \n",
+       "L 361.865313 50.094687 \n",
+       "L 371.865313 50.094687 \n",
        "\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "    </g>\n",
-       "    <g id=\"text_20\">\n",
+       "    <g id=\"text_18\">\n",
        "     <!-- Im -->\n",
-       "     <g transform=\"translate(388.245 53.594687) scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(379.865313 53.594687) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
        "       <path id=\"DejaVuSans-49\" d=\"M 628 4666 \n",
        "L 1259 4666 \n",
@@ -5812,15 +5830,15 @@
        "      <use xlink:href=\"#DejaVuSans-6d\" x=\"29.492188\"/>\n",
        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"line2d_22\">\n",
-       "     <path d=\"M 360.245 64.772812 \n",
-       "L 370.245 64.772812 \n",
-       "L 380.245 64.772812 \n",
+       "    <g id=\"line2d_20\">\n",
+       "     <path d=\"M 351.865313 64.772812 \n",
+       "L 361.865313 64.772812 \n",
+       "L 371.865313 64.772812 \n",
        "\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "    </g>\n",
-       "    <g id=\"text_21\">\n",
+       "    <g id=\"text_19\">\n",
        "     <!-- Abs -->\n",
-       "     <g transform=\"translate(388.245 68.272812) scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(379.865313 68.272812) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
        "       <path id=\"DejaVuSans-62\" d=\"M 3116 1747 \n",
        "Q 3116 2381 2855 2742 \n",
@@ -5889,8 +5907,8 @@
        "  </g>\n",
        " </g>\n",
        " <defs>\n",
-       "  <clipPath id=\"p27b12666d4\">\n",
-       "   <rect x=\"58.523438\" y=\"22.318125\" width=\"357.12\" height=\"266.112\"/>\n",
+       "  <clipPath id=\"pb4ea7aae00\">\n",
+       "   <rect x=\"50.14375\" y=\"22.318125\" width=\"357.12\" height=\"266.112\"/>\n",
        "  </clipPath>\n",
        " </defs>\n",
        "</svg>\n"
@@ -5924,7 +5942,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 109,
+   "execution_count": 35,
    "metadata": {},
    "outputs": [
     {
@@ -5933,7 +5951,7 @@
        "(0.0, 1.1)"
       ]
      },
-     "execution_count": 109,
+     "execution_count": 35,
      "metadata": {},
      "output_type": "execute_result"
     },
@@ -5948,7 +5966,7 @@
        "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2024-09-30T21:35:10.171121</dc:date>\n",
+       "    <dc:date>2024-10-02T12:33:25.818288</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
@@ -5985,7 +6003,7 @@
        "L 87.638264 95.39285 \n",
        "L 61.135852 95.39285 \n",
        "z\n",
-       "\" clip-path=\"url(#p9b33c2a307)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#pe74349b358)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_4\">\n",
        "    <path d=\"M 94.263867 288.430125 \n",
@@ -5993,7 +6011,7 @@
        "L 120.766279 273.652251 \n",
        "L 94.263867 273.652251 \n",
        "z\n",
-       "\" clip-path=\"url(#p9b33c2a307)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#pe74349b358)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_5\">\n",
        "    <path d=\"M 127.391882 288.430125 \n",
@@ -6001,7 +6019,7 @@
        "L 153.894294 277.206062 \n",
        "L 127.391882 277.206062 \n",
        "z\n",
-       "\" clip-path=\"url(#p9b33c2a307)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#pe74349b358)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_6\">\n",
        "    <path d=\"M 160.519897 288.430125 \n",
@@ -6009,7 +6027,7 @@
        "L 187.022309 284.516258 \n",
        "L 160.519897 284.516258 \n",
        "z\n",
-       "\" clip-path=\"url(#p9b33c2a307)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#pe74349b358)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_7\">\n",
        "    <path d=\"M 193.647912 288.430125 \n",
@@ -6017,7 +6035,7 @@
        "L 220.150324 284.598817 \n",
        "L 193.647912 284.598817 \n",
        "z\n",
-       "\" clip-path=\"url(#p9b33c2a307)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#pe74349b358)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_8\">\n",
        "    <path d=\"M 226.775926 288.430125 \n",
@@ -6025,7 +6043,7 @@
        "L 253.278338 286.552208 \n",
        "L 226.775926 286.552208 \n",
        "z\n",
-       "\" clip-path=\"url(#p9b33c2a307)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#pe74349b358)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_9\">\n",
        "    <path d=\"M 259.903941 288.430125 \n",
@@ -6033,7 +6051,7 @@
        "L 286.406353 286.558008 \n",
        "L 259.903941 286.558008 \n",
        "z\n",
-       "\" clip-path=\"url(#p9b33c2a307)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#pe74349b358)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_10\">\n",
        "    <path d=\"M 293.031956 288.430125 \n",
@@ -6041,7 +6059,7 @@
        "L 319.534368 286.924542 \n",
        "L 293.031956 286.924542 \n",
        "z\n",
-       "\" clip-path=\"url(#p9b33c2a307)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#pe74349b358)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_11\">\n",
        "    <path d=\"M 326.159971 288.430125 \n",
@@ -6049,7 +6067,7 @@
        "L 352.662383 287.327525 \n",
        "L 326.159971 287.327525 \n",
        "z\n",
-       "\" clip-path=\"url(#p9b33c2a307)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#pe74349b358)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_12\">\n",
        "    <path d=\"M 359.287986 288.430125 \n",
@@ -6057,18 +6075,18 @@
        "L 385.790398 287.330092 \n",
        "L 359.287986 287.330092 \n",
        "z\n",
-       "\" clip-path=\"url(#p9b33c2a307)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#pe74349b358)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"matplotlib.axis_1\">\n",
        "    <g id=\"xtick_1\">\n",
        "     <g id=\"line2d_1\">\n",
        "      <defs>\n",
-       "       <path id=\"m3e376dc419\" d=\"M 0 0 \n",
+       "       <path id=\"m4f747634a8\" d=\"M 0 0 \n",
        "L 0 3.5 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m3e376dc419\" x=\"107.515073\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m4f747634a8\" x=\"107.515073\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_1\">\n",
@@ -6107,7 +6125,7 @@
        "    <g id=\"xtick_2\">\n",
        "     <g id=\"line2d_2\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m3e376dc419\" x=\"173.771103\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m4f747634a8\" x=\"173.771103\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_2\">\n",
@@ -6141,7 +6159,7 @@
        "    <g id=\"xtick_3\">\n",
        "     <g id=\"line2d_3\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m3e376dc419\" x=\"240.027132\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m4f747634a8\" x=\"240.027132\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_3\">\n",
@@ -6186,7 +6204,7 @@
        "    <g id=\"xtick_4\">\n",
        "     <g id=\"line2d_4\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m3e376dc419\" x=\"306.283162\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m4f747634a8\" x=\"306.283162\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_4\">\n",
@@ -6240,7 +6258,7 @@
        "    <g id=\"xtick_5\">\n",
        "     <g id=\"line2d_5\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m3e376dc419\" x=\"372.539192\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m4f747634a8\" x=\"372.539192\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_5\">\n",
@@ -6611,12 +6629,12 @@
        "    <g id=\"ytick_1\">\n",
        "     <g id=\"line2d_6\">\n",
        "      <defs>\n",
-       "       <path id=\"me54291b986\" d=\"M 0 0 \n",
+       "       <path id=\"mfdee13f16e\" d=\"M 0 0 \n",
        "L -3.5 0 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#me54291b986\" x=\"44.903125\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mfdee13f16e\" x=\"44.903125\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_7\">\n",
@@ -6640,7 +6658,7 @@
        "    <g id=\"ytick_2\">\n",
        "     <g id=\"line2d_7\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#me54291b986\" x=\"44.903125\" y=\"240.046125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mfdee13f16e\" x=\"44.903125\" y=\"240.046125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_8\">\n",
@@ -6655,7 +6673,7 @@
        "    <g id=\"ytick_3\">\n",
        "     <g id=\"line2d_8\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#me54291b986\" x=\"44.903125\" y=\"191.662125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mfdee13f16e\" x=\"44.903125\" y=\"191.662125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_9\">\n",
@@ -6670,7 +6688,7 @@
        "    <g id=\"ytick_4\">\n",
        "     <g id=\"line2d_9\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#me54291b986\" x=\"44.903125\" y=\"143.278125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mfdee13f16e\" x=\"44.903125\" y=\"143.278125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_10\">\n",
@@ -6685,7 +6703,7 @@
        "    <g id=\"ytick_5\">\n",
        "     <g id=\"line2d_10\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#me54291b986\" x=\"44.903125\" y=\"94.894125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mfdee13f16e\" x=\"44.903125\" y=\"94.894125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_11\">\n",
@@ -6700,7 +6718,7 @@
        "    <g id=\"ytick_6\">\n",
        "     <g id=\"line2d_11\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#me54291b986\" x=\"44.903125\" y=\"46.510125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mfdee13f16e\" x=\"44.903125\" y=\"46.510125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_12\">\n",
@@ -6982,7 +7000,7 @@
        "  </g>\n",
        " </g>\n",
        " <defs>\n",
-       "  <clipPath id=\"p9b33c2a307\">\n",
+       "  <clipPath id=\"pe74349b358\">\n",
        "   <rect x=\"44.903125\" y=\"22.318125\" width=\"357.12\" height=\"266.112\"/>\n",
        "  </clipPath>\n",
        " </defs>\n",
@@ -7014,7 +7032,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 110,
+   "execution_count": 36,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -7023,7 +7041,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 111,
+   "execution_count": 37,
    "metadata": {},
    "outputs": [
     {
@@ -7032,7 +7050,7 @@
        "Text(0.5, 1.0, 'Schmidt mode 1')"
       ]
      },
-     "execution_count": 111,
+     "execution_count": 37,
      "metadata": {},
      "output_type": "execute_result"
     },
@@ -7042,12 +7060,12 @@
        "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
        "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
        "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
-       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"422.843437pt\" height=\"312.30825pt\" viewBox=\"0 0 422.843437 312.30825\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
+       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"414.46375pt\" height=\"312.30825pt\" viewBox=\"0 0 414.46375 312.30825\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
        " <metadata>\n",
        "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2024-09-30T21:35:10.442715</dc:date>\n",
+       "    <dc:date>2024-10-02T12:33:26.098871</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
@@ -7063,18 +7081,18 @@
        " <g id=\"figure_1\">\n",
        "  <g id=\"patch_1\">\n",
        "   <path d=\"M 0 312.30825 \n",
-       "L 422.843437 312.30825 \n",
-       "L 422.843437 0 \n",
+       "L 414.46375 312.30825 \n",
+       "L 414.46375 0 \n",
        "L 0 0 \n",
        "z\n",
        "\" style=\"fill: #ffffff\"/>\n",
        "  </g>\n",
        "  <g id=\"axes_1\">\n",
        "   <g id=\"patch_2\">\n",
-       "    <path d=\"M 58.523438 288.430125 \n",
-       "L 415.643438 288.430125 \n",
-       "L 415.643438 22.318125 \n",
-       "L 58.523438 22.318125 \n",
+       "    <path d=\"M 50.14375 288.430125 \n",
+       "L 407.26375 288.430125 \n",
+       "L 407.26375 22.318125 \n",
+       "L 50.14375 22.318125 \n",
        "z\n",
        "\" style=\"fill: #ffffff\"/>\n",
        "   </g>\n",
@@ -7082,17 +7100,17 @@
        "    <g id=\"xtick_1\">\n",
        "     <g id=\"line2d_1\">\n",
        "      <defs>\n",
-       "       <path id=\"mf4045c5243\" d=\"M 0 0 \n",
+       "       <path id=\"mb65fe7936b\" d=\"M 0 0 \n",
        "L 0 3.5 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mf4045c5243\" x=\"74.756165\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mb65fe7936b\" x=\"66.376477\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_1\">\n",
        "      <!-- −10.0 -->\n",
-       "      <g transform=\"translate(59.433509 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(51.053821 303.028562) scale(0.1 -0.1)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-2212\" d=\"M 678 2272 \n",
        "L 4684 2272 \n",
@@ -7155,12 +7173,12 @@
        "    <g id=\"xtick_2\">\n",
        "     <g id=\"line2d_2\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mf4045c5243\" x=\"115.337983\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mb65fe7936b\" x=\"106.958295\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_2\">\n",
        "      <!-- −7.5 -->\n",
-       "      <g transform=\"translate(103.196577 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(94.816889 303.028562) scale(0.1 -0.1)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-37\" d=\"M 525 4666 \n",
        "L 3525 4666 \n",
@@ -7208,12 +7226,12 @@
        "    <g id=\"xtick_3\">\n",
        "     <g id=\"line2d_3\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mf4045c5243\" x=\"155.919801\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mb65fe7936b\" x=\"147.540114\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_3\">\n",
        "      <!-- −5.0 -->\n",
-       "      <g transform=\"translate(143.778395 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(135.398707 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-35\" x=\"83.789062\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
@@ -7224,12 +7242,12 @@
        "    <g id=\"xtick_4\">\n",
        "     <g id=\"line2d_4\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mf4045c5243\" x=\"196.501619\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mb65fe7936b\" x=\"188.121932\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_4\">\n",
        "      <!-- −2.5 -->\n",
-       "      <g transform=\"translate(184.360213 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(175.980526 303.028562) scale(0.1 -0.1)\">\n",
        "       <defs>\n",
        "        <path id=\"DejaVuSans-32\" d=\"M 1228 531 \n",
        "L 3431 531 \n",
@@ -7266,12 +7284,12 @@
        "    <g id=\"xtick_5\">\n",
        "     <g id=\"line2d_5\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mf4045c5243\" x=\"237.083438\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mb65fe7936b\" x=\"228.70375\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_5\">\n",
        "      <!-- 0.0 -->\n",
-       "      <g transform=\"translate(229.131875 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(220.752188 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
@@ -7281,12 +7299,12 @@
        "    <g id=\"xtick_6\">\n",
        "     <g id=\"line2d_6\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mf4045c5243\" x=\"277.665256\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mb65fe7936b\" x=\"269.285568\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_6\">\n",
        "      <!-- 2.5 -->\n",
-       "      <g transform=\"translate(269.713693 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(261.334006 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n",
@@ -7296,12 +7314,12 @@
        "    <g id=\"xtick_7\">\n",
        "     <g id=\"line2d_7\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mf4045c5243\" x=\"318.247074\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mb65fe7936b\" x=\"309.867386\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_7\">\n",
        "      <!-- 5.0 -->\n",
-       "      <g transform=\"translate(310.295511 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(301.915824 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-35\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
@@ -7311,12 +7329,12 @@
        "    <g id=\"xtick_8\">\n",
        "     <g id=\"line2d_8\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mf4045c5243\" x=\"358.828892\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mb65fe7936b\" x=\"350.449205\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_8\">\n",
        "      <!-- 7.5 -->\n",
-       "      <g transform=\"translate(350.87733 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(342.497642 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-37\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-35\" x=\"95.410156\"/>\n",
@@ -7326,12 +7344,12 @@
        "    <g id=\"xtick_9\">\n",
        "     <g id=\"line2d_9\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mf4045c5243\" x=\"399.41071\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#mb65fe7936b\" x=\"391.031023\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_9\">\n",
        "      <!-- 10.0 -->\n",
-       "      <g transform=\"translate(388.277898 303.028562) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(379.89821 303.028562) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"127.246094\"/>\n",
@@ -7344,51 +7362,17 @@
        "    <g id=\"ytick_1\">\n",
        "     <g id=\"line2d_10\">\n",
        "      <defs>\n",
-       "       <path id=\"mde8213b2d7\" d=\"M 0 0 \n",
+       "       <path id=\"m66d4b15cf3\" d=\"M 0 0 \n",
        "L -3.5 0 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mde8213b2d7\" x=\"58.523438\" y=\"260.486165\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m66d4b15cf3\" x=\"50.14375\" y=\"239.887419\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_10\">\n",
-       "      <!-- −0.10 -->\n",
-       "      <g transform=\"translate(20.878125 264.285384) scale(0.1 -0.1)\">\n",
-       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"83.789062\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-31\" x=\"179.199219\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"242.822266\"/>\n",
-       "      </g>\n",
-       "     </g>\n",
-       "    </g>\n",
-       "    <g id=\"ytick_2\">\n",
-       "     <g id=\"line2d_11\">\n",
-       "      <g>\n",
-       "       <use xlink:href=\"#mde8213b2d7\" x=\"58.523438\" y=\"223.073386\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
-       "      </g>\n",
-       "     </g>\n",
-       "     <g id=\"text_11\">\n",
-       "      <!-- −0.05 -->\n",
-       "      <g transform=\"translate(20.878125 226.872605) scale(0.1 -0.1)\">\n",
-       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"83.789062\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-2e\" x=\"147.412109\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-30\" x=\"179.199219\"/>\n",
-       "       <use xlink:href=\"#DejaVuSans-35\" x=\"242.822266\"/>\n",
-       "      </g>\n",
-       "     </g>\n",
-       "    </g>\n",
-       "    <g id=\"ytick_3\">\n",
-       "     <g id=\"line2d_12\">\n",
-       "      <g>\n",
-       "       <use xlink:href=\"#mde8213b2d7\" x=\"58.523438\" y=\"185.660607\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
-       "      </g>\n",
-       "     </g>\n",
-       "     <g id=\"text_12\">\n",
        "      <!-- 0.00 -->\n",
-       "      <g transform=\"translate(29.257813 189.459826) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(20.878125 243.686638) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
@@ -7396,15 +7380,15 @@
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"ytick_4\">\n",
-       "     <g id=\"line2d_13\">\n",
+       "    <g id=\"ytick_2\">\n",
+       "     <g id=\"line2d_11\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mde8213b2d7\" x=\"58.523438\" y=\"148.247828\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m66d4b15cf3\" x=\"50.14375\" y=\"189.060934\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
-       "     <g id=\"text_13\">\n",
+       "     <g id=\"text_11\">\n",
        "      <!-- 0.05 -->\n",
-       "      <g transform=\"translate(29.257813 152.047047) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(20.878125 192.860153) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
@@ -7412,15 +7396,15 @@
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"ytick_5\">\n",
-       "     <g id=\"line2d_14\">\n",
+       "    <g id=\"ytick_3\">\n",
+       "     <g id=\"line2d_12\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mde8213b2d7\" x=\"58.523438\" y=\"110.835049\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m66d4b15cf3\" x=\"50.14375\" y=\"138.23445\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
-       "     <g id=\"text_14\">\n",
+       "     <g id=\"text_12\">\n",
        "      <!-- 0.10 -->\n",
-       "      <g transform=\"translate(29.257813 114.634268) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(20.878125 142.033669) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-31\" x=\"95.410156\"/>\n",
@@ -7428,15 +7412,15 @@
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"ytick_6\">\n",
-       "     <g id=\"line2d_15\">\n",
+       "    <g id=\"ytick_4\">\n",
+       "     <g id=\"line2d_13\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mde8213b2d7\" x=\"58.523438\" y=\"73.42227\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m66d4b15cf3\" x=\"50.14375\" y=\"87.407966\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
-       "     <g id=\"text_15\">\n",
+       "     <g id=\"text_13\">\n",
        "      <!-- 0.15 -->\n",
-       "      <g transform=\"translate(29.257813 77.221488) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(20.878125 91.207185) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-31\" x=\"95.410156\"/>\n",
@@ -7444,15 +7428,15 @@
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"ytick_7\">\n",
-       "     <g id=\"line2d_16\">\n",
+       "    <g id=\"ytick_5\">\n",
+       "     <g id=\"line2d_14\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mde8213b2d7\" x=\"58.523438\" y=\"36.009491\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m66d4b15cf3\" x=\"50.14375\" y=\"36.581481\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
-       "     <g id=\"text_16\">\n",
+       "     <g id=\"text_14\">\n",
        "      <!-- 0.20 -->\n",
-       "      <g transform=\"translate(29.257813 39.808709) scale(0.1 -0.1)\">\n",
+       "      <g transform=\"translate(20.878125 40.3807) scale(0.1 -0.1)\">\n",
        "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
        "       <use xlink:href=\"#DejaVuSans-32\" x=\"95.410156\"/>\n",
@@ -7460,7 +7444,7 @@
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"text_17\">\n",
+       "    <g id=\"text_15\">\n",
        "     <!-- Amplitude -->\n",
        "     <g transform=\"translate(14.798438 180.996781) rotate(-90) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
@@ -7663,263 +7647,247 @@
        "     </g>\n",
        "    </g>\n",
        "   </g>\n",
-       "   <g id=\"line2d_17\">\n",
-       "    <path d=\"M 74.756165 185.660607 \n",
-       "L 175.399074 185.550292 \n",
-       "L 178.645619 185.257941 \n",
-       "L 181.892165 184.766462 \n",
-       "L 188.385256 183.641747 \n",
-       "L 190.549619 183.602267 \n",
-       "L 191.631801 183.738973 \n",
-       "L 192.713983 184.013294 \n",
-       "L 193.796165 184.449888 \n",
-       "L 194.878347 185.071519 \n",
-       "L 195.960528 185.897461 \n",
-       "L 197.04271 186.941747 \n",
-       "L 198.124892 188.21133 \n",
-       "L 199.207074 189.704239 \n",
-       "L 201.371438 193.297174 \n",
-       "L 204.617983 199.62356 \n",
-       "L 206.782347 203.680868 \n",
-       "L 207.864528 205.377538 \n",
-       "L 208.94671 206.701038 \n",
-       "L 210.028892 207.529158 \n",
-       "L 211.111074 207.737552 \n",
-       "L 212.193256 207.204198 \n",
-       "L 213.275438 205.814283 \n",
-       "L 214.357619 203.465359 \n",
-       "L 215.439801 200.072538 \n",
-       "L 216.521983 195.573519 \n",
-       "L 217.604165 189.933195 \n",
-       "L 218.686347 183.147598 \n",
-       "L 219.768528 175.246957 \n",
-       "L 220.85071 166.297666 \n",
-       "L 223.015074 145.702357 \n",
-       "L 226.261619 110.647559 \n",
-       "L 229.508165 76.116536 \n",
-       "L 230.590347 65.932182 \n",
-       "L 231.672528 56.833765 \n",
-       "L 232.75471 49.048164 \n",
-       "L 233.836892 42.773112 \n",
-       "L 234.919074 38.170248 \n",
-       "L 236.001256 35.359369 \n",
-       "L 237.083438 34.414125 \n",
-       "L 238.165619 35.359369 \n",
-       "L 239.247801 38.170248 \n",
-       "L 240.329983 42.773112 \n",
-       "L 241.412165 49.048164 \n",
-       "L 242.494347 56.833765 \n",
-       "L 243.576528 65.932182 \n",
-       "L 245.740892 87.138646 \n",
-       "L 252.233983 156.402983 \n",
-       "L 254.398347 175.246957 \n",
-       "L 255.480528 183.147598 \n",
-       "L 256.56271 189.933195 \n",
-       "L 257.644892 195.573519 \n",
-       "L 258.727074 200.072538 \n",
-       "L 259.809256 203.465359 \n",
-       "L 260.891437 205.814283 \n",
-       "L 261.973619 207.204198 \n",
-       "L 263.055801 207.737552 \n",
-       "L 264.137983 207.529158 \n",
-       "L 265.220165 206.701038 \n",
-       "L 266.302347 205.377538 \n",
-       "L 267.384528 203.680868 \n",
-       "L 269.548892 199.62356 \n",
-       "L 272.795437 193.297174 \n",
-       "L 274.959801 189.704239 \n",
-       "L 276.041983 188.21133 \n",
-       "L 277.124165 186.941747 \n",
-       "L 278.206347 185.897461 \n",
-       "L 279.288528 185.071519 \n",
-       "L 280.37071 184.449888 \n",
-       "L 281.452892 184.013294 \n",
-       "L 282.535074 183.738973 \n",
-       "L 283.617256 183.602267 \n",
-       "L 285.781619 183.641747 \n",
-       "L 287.945983 183.943778 \n",
-       "L 295.521256 185.257941 \n",
-       "L 298.767801 185.550292 \n",
-       "L 303.096528 185.69834 \n",
-       "L 312.836165 185.689474 \n",
-       "L 355.041256 185.660651 \n",
-       "L 399.41071 185.660607 \n",
-       "L 399.41071 185.660607 \n",
-       "\" clip-path=\"url(#p9d943c5d0d)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "   <g id=\"line2d_15\">\n",
+       "    <path d=\"M 66.376477 239.887419 \n",
+       "L 164.855023 239.963079 \n",
+       "L 168.101568 240.19443 \n",
+       "L 171.348114 240.622333 \n",
+       "L 174.594659 241.29142 \n",
+       "L 177.841205 242.18404 \n",
+       "L 183.252114 243.713131 \n",
+       "L 185.416477 244.012934 \n",
+       "L 186.498659 244.007864 \n",
+       "L 187.580841 243.860836 \n",
+       "L 188.663023 243.539259 \n",
+       "L 189.745205 243.007998 \n",
+       "L 190.827386 242.229779 \n",
+       "L 191.909568 241.165719 \n",
+       "L 192.99175 239.775965 \n",
+       "L 194.073932 238.020449 \n",
+       "L 195.156114 235.859737 \n",
+       "L 196.238295 233.255977 \n",
+       "L 197.320477 230.173918 \n",
+       "L 198.402659 226.581977 \n",
+       "L 199.484841 222.453345 \n",
+       "L 200.567023 217.76708 \n",
+       "L 201.649205 212.509185 \n",
+       "L 203.813568 200.263181 \n",
+       "L 205.977932 185.777889 \n",
+       "L 208.142295 169.278745 \n",
+       "L 210.306659 151.164132 \n",
+       "L 218.964114 75.839539 \n",
+       "L 221.128477 60.43231 \n",
+       "L 222.210659 53.824975 \n",
+       "L 223.292841 48.070521 \n",
+       "L 224.375023 43.248059 \n",
+       "L 225.457205 39.424745 \n",
+       "L 226.539386 36.654367 \n",
+       "L 227.621568 34.976192 \n",
+       "L 228.70375 34.414125 \n",
+       "L 229.785932 34.976192 \n",
+       "L 230.868114 36.654367 \n",
+       "L 231.950295 39.424745 \n",
+       "L 233.032477 43.248059 \n",
+       "L 234.114659 48.070521 \n",
+       "L 235.196841 53.824975 \n",
+       "L 236.279023 60.43231 \n",
+       "L 238.443386 75.839539 \n",
+       "L 240.60775 93.487429 \n",
+       "L 244.936477 132.000481 \n",
+       "L 248.183023 160.39174 \n",
+       "L 250.347386 177.759225 \n",
+       "L 252.51175 193.290359 \n",
+       "L 254.676114 206.673612 \n",
+       "L 256.840477 217.76708 \n",
+       "L 257.922659 222.453345 \n",
+       "L 259.004841 226.581977 \n",
+       "L 260.087023 230.173918 \n",
+       "L 261.169205 233.255977 \n",
+       "L 262.251386 235.859737 \n",
+       "L 263.333568 238.020449 \n",
+       "L 264.41575 239.775965 \n",
+       "L 265.497932 241.165719 \n",
+       "L 266.580114 242.229779 \n",
+       "L 267.662295 243.007998 \n",
+       "L 268.744477 243.539259 \n",
+       "L 269.826659 243.860836 \n",
+       "L 270.908841 244.007864 \n",
+       "L 271.991023 244.012934 \n",
+       "L 274.155386 243.713131 \n",
+       "L 277.401932 242.842147 \n",
+       "L 282.812841 241.29142 \n",
+       "L 286.059386 240.622333 \n",
+       "L 289.305932 240.19443 \n",
+       "L 293.634659 239.918546 \n",
+       "L 299.045568 239.839514 \n",
+       "L 391.031023 239.887419 \n",
+       "L 391.031023 239.887419 \n",
+       "\" clip-path=\"url(#pb936d42e0c)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "   </g>\n",
-       "   <g id=\"line2d_18\">\n",
-       "    <path d=\"M 74.756165 185.660607 \n",
-       "L 175.399074 185.770766 \n",
-       "L 179.727801 185.772275 \n",
-       "L 182.974347 185.522242 \n",
-       "L 185.13871 185.12508 \n",
-       "L 187.303074 184.47905 \n",
-       "L 189.467437 183.559969 \n",
-       "L 191.631801 182.400172 \n",
-       "L 195.960528 179.93149 \n",
-       "L 197.04271 179.477926 \n",
-       "L 198.124892 179.185143 \n",
-       "L 199.207074 179.11177 \n",
-       "L 200.289256 179.320788 \n",
-       "L 201.371438 179.877646 \n",
-       "L 202.453619 180.847937 \n",
-       "L 203.535801 182.294679 \n",
-       "L 204.617983 184.275274 \n",
-       "L 205.700165 186.838238 \n",
-       "L 206.782347 190.019842 \n",
-       "L 207.864528 193.8408 \n",
-       "L 208.94671 198.303167 \n",
-       "L 210.028892 203.387635 \n",
-       "L 212.193256 215.226639 \n",
-       "L 214.357619 228.7136 \n",
-       "L 217.604165 249.673938 \n",
-       "L 219.768528 262.066772 \n",
-       "L 220.85071 267.198336 \n",
-       "L 221.932892 271.359893 \n",
-       "L 223.015074 274.37145 \n",
-       "L 224.097256 276.07358 \n",
-       "L 225.179437 276.334125 \n",
-       "L 226.261619 275.054263 \n",
-       "L 227.343801 272.173607 \n",
-       "L 228.425983 267.67411 \n",
-       "L 229.508165 261.582529 \n",
-       "L 230.590347 253.971315 \n",
-       "L 231.672528 244.957821 \n",
-       "L 233.836892 223.401328 \n",
-       "L 236.001256 198.615444 \n",
-       "L 240.329983 147.919886 \n",
-       "L 242.494347 126.363392 \n",
-       "L 243.576528 117.349899 \n",
-       "L 244.65871 109.738685 \n",
-       "L 245.740892 103.647104 \n",
-       "L 246.823074 99.147606 \n",
-       "L 247.905256 96.266951 \n",
-       "L 248.987437 94.987089 \n",
-       "L 250.069619 95.247634 \n",
-       "L 251.151801 96.949763 \n",
-       "L 252.233983 99.961321 \n",
-       "L 253.316165 104.122878 \n",
-       "L 254.398347 109.254442 \n",
-       "L 256.56271 121.647276 \n",
-       "L 263.055801 162.269833 \n",
-       "L 265.220165 173.018047 \n",
-       "L 266.302347 177.480414 \n",
-       "L 267.384528 181.301371 \n",
-       "L 268.46671 184.482976 \n",
-       "L 269.548892 187.04594 \n",
-       "L 270.631074 189.026535 \n",
-       "L 271.713256 190.473277 \n",
-       "L 272.795437 191.443568 \n",
-       "L 273.877619 192.000425 \n",
-       "L 274.959801 192.209444 \n",
-       "L 276.041983 192.136071 \n",
-       "L 277.124165 191.843288 \n",
-       "L 279.288528 190.82824 \n",
-       "L 284.699437 187.761245 \n",
-       "L 286.863801 186.842164 \n",
-       "L 289.028165 186.196134 \n",
-       "L 291.192528 185.798972 \n",
-       "L 293.356892 185.596652 \n",
-       "L 296.603437 185.523373 \n",
-       "L 324.740165 185.667083 \n",
-       "L 399.41071 185.660607 \n",
-       "L 399.41071 185.660607 \n",
-       "\" clip-path=\"url(#p9d943c5d0d)\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "   <g id=\"line2d_16\">\n",
+       "    <path d=\"M 66.376477 239.887419 \n",
+       "L 170.265932 239.992042 \n",
+       "L 173.512477 240.269191 \n",
+       "L 176.759023 240.813923 \n",
+       "L 178.923386 241.397589 \n",
+       "L 181.08775 242.216192 \n",
+       "L 183.252114 243.322361 \n",
+       "L 185.416477 244.765894 \n",
+       "L 187.580841 246.587687 \n",
+       "L 189.745205 248.812629 \n",
+       "L 191.909568 251.44201 \n",
+       "L 194.073932 254.446264 \n",
+       "L 197.320477 259.499306 \n",
+       "L 202.731386 268.280452 \n",
+       "L 204.89575 271.375622 \n",
+       "L 207.060114 273.898667 \n",
+       "L 208.142295 274.873739 \n",
+       "L 209.224477 275.621177 \n",
+       "L 210.306659 276.115613 \n",
+       "L 211.388841 276.334125 \n",
+       "L 212.471023 276.256846 \n",
+       "L 213.553205 275.867522 \n",
+       "L 214.635386 275.15403 \n",
+       "L 215.717568 274.108816 \n",
+       "L 216.79975 272.729257 \n",
+       "L 217.881932 271.017919 \n",
+       "L 218.964114 268.982714 \n",
+       "L 220.046295 266.636938 \n",
+       "L 222.210659 261.09315 \n",
+       "L 224.375023 254.59442 \n",
+       "L 227.621568 243.674606 \n",
+       "L 231.950295 228.703724 \n",
+       "L 234.114659 221.827542 \n",
+       "L 236.279023 215.775651 \n",
+       "L 238.443386 210.792123 \n",
+       "L 239.525568 208.756919 \n",
+       "L 240.60775 207.045581 \n",
+       "L 241.689932 205.666022 \n",
+       "L 242.772114 204.620808 \n",
+       "L 243.854295 203.907316 \n",
+       "L 244.936477 203.517992 \n",
+       "L 246.018659 203.440713 \n",
+       "L 247.100841 203.659225 \n",
+       "L 248.183023 204.15366 \n",
+       "L 249.265205 204.901099 \n",
+       "L 250.347386 205.87617 \n",
+       "L 251.429568 207.051677 \n",
+       "L 253.593932 209.889788 \n",
+       "L 255.758295 213.184533 \n",
+       "L 263.333568 225.328574 \n",
+       "L 265.497932 228.332828 \n",
+       "L 267.662295 230.962209 \n",
+       "L 269.826659 233.187151 \n",
+       "L 271.991023 235.008944 \n",
+       "L 274.155386 236.452476 \n",
+       "L 276.31975 237.558645 \n",
+       "L 278.484114 238.377248 \n",
+       "L 280.648477 238.960915 \n",
+       "L 282.812841 239.360419 \n",
+       "L 286.059386 239.712458 \n",
+       "L 290.388114 239.904088 \n",
+       "L 297.963386 239.947033 \n",
+       "L 362.894295 239.887421 \n",
+       "L 391.031023 239.887419 \n",
+       "L 391.031023 239.887419 \n",
+       "\" clip-path=\"url(#pb936d42e0c)\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "   </g>\n",
-       "   <g id=\"line2d_19\">\n",
-       "    <path d=\"M 74.756165 185.660607 \n",
-       "L 174.316892 185.557798 \n",
-       "L 178.645619 185.236279 \n",
-       "L 181.892165 184.766305 \n",
-       "L 185.13871 184.051765 \n",
-       "L 188.385256 183.080045 \n",
-       "L 191.631801 181.876018 \n",
-       "L 194.878347 180.459505 \n",
-       "L 197.04271 179.346586 \n",
-       "L 199.207074 177.96397 \n",
-       "L 200.289256 177.103517 \n",
-       "L 201.371438 176.081474 \n",
-       "L 202.453619 174.856257 \n",
-       "L 203.535801 173.385552 \n",
-       "L 204.617983 171.6291 \n",
-       "L 205.700165 169.550895 \n",
-       "L 206.782347 167.120576 \n",
-       "L 207.864528 164.31411 \n",
-       "L 208.94671 161.114038 \n",
-       "L 210.028892 157.509567 \n",
-       "L 212.193256 149.078145 \n",
-       "L 214.357619 139.071236 \n",
-       "L 216.521983 127.655976 \n",
-       "L 218.686347 115.117754 \n",
-       "L 227.343801 63.022373 \n",
-       "L 229.508165 52.378794 \n",
-       "L 230.590347 47.81559 \n",
-       "L 231.672528 43.842009 \n",
-       "L 232.75471 40.51241 \n",
-       "L 233.836892 37.872928 \n",
-       "L 234.919074 35.960502 \n",
-       "L 236.001256 34.802097 \n",
-       "L 237.083438 34.414125 \n",
-       "L 238.165619 34.802097 \n",
-       "L 239.247801 35.960502 \n",
-       "L 240.329983 37.872928 \n",
-       "L 241.412165 40.51241 \n",
-       "L 242.494347 43.842009 \n",
-       "L 243.576528 47.81559 \n",
-       "L 244.65871 52.378794 \n",
-       "L 246.823074 63.022373 \n",
-       "L 248.987437 75.219047 \n",
-       "L 253.316165 101.855328 \n",
-       "L 256.56271 121.504847 \n",
-       "L 258.727074 133.524573 \n",
-       "L 260.891437 144.263949 \n",
-       "L 263.055801 153.496655 \n",
-       "L 265.220165 161.114038 \n",
-       "L 266.302347 164.31411 \n",
-       "L 267.384528 167.120576 \n",
-       "L 268.46671 169.550895 \n",
-       "L 269.548892 171.6291 \n",
-       "L 270.631074 173.385552 \n",
-       "L 271.713256 174.856257 \n",
-       "L 272.795437 176.081474 \n",
-       "L 273.877619 177.103517 \n",
-       "L 276.041983 178.700878 \n",
-       "L 278.206347 179.926596 \n",
-       "L 281.452892 181.428687 \n",
-       "L 284.699437 182.702593 \n",
-       "L 287.945983 183.755874 \n",
-       "L 291.192528 184.556733 \n",
-       "L 294.439074 185.104527 \n",
-       "L 297.685619 185.434453 \n",
-       "L 302.014347 185.612699 \n",
-       "L 360.452165 185.660544 \n",
-       "L 399.41071 185.660607 \n",
-       "L 399.41071 185.660607 \n",
-       "\" clip-path=\"url(#p9d943c5d0d)\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
+       "   <g id=\"line2d_17\">\n",
+       "    <path d=\"M 66.376477 239.887418 \n",
+       "L 164.855023 239.797088 \n",
+       "L 168.101568 239.580182 \n",
+       "L 171.348114 239.131966 \n",
+       "L 174.594659 238.38777 \n",
+       "L 176.759023 237.701755 \n",
+       "L 180.005568 236.381641 \n",
+       "L 183.252114 234.74593 \n",
+       "L 186.498659 232.821552 \n",
+       "L 188.663023 231.309614 \n",
+       "L 190.827386 229.431285 \n",
+       "L 191.909568 228.262333 \n",
+       "L 192.99175 226.873853 \n",
+       "L 194.073932 225.209356 \n",
+       "L 195.156114 223.211355 \n",
+       "L 196.238295 220.825157 \n",
+       "L 197.320477 218.001848 \n",
+       "L 198.402659 214.700181 \n",
+       "L 199.484841 210.887504 \n",
+       "L 200.567023 206.540101 \n",
+       "L 201.649205 201.64331 \n",
+       "L 203.813568 190.188947 \n",
+       "L 205.977932 176.594235 \n",
+       "L 208.142295 161.08623 \n",
+       "L 210.306659 144.052646 \n",
+       "L 218.964114 73.279366 \n",
+       "L 221.128477 58.819715 \n",
+       "L 222.210659 52.620454 \n",
+       "L 223.292841 47.222214 \n",
+       "L 224.375023 42.698845 \n",
+       "L 225.457205 39.113022 \n",
+       "L 226.539386 36.514929 \n",
+       "L 227.621568 34.941197 \n",
+       "L 228.70375 34.414125 \n",
+       "L 229.785932 34.941197 \n",
+       "L 230.868114 36.514929 \n",
+       "L 231.950295 39.113022 \n",
+       "L 233.032477 42.698845 \n",
+       "L 234.114659 47.222214 \n",
+       "L 235.196841 52.620454 \n",
+       "L 236.279023 58.819715 \n",
+       "L 238.443386 73.279366 \n",
+       "L 240.60775 89.848946 \n",
+       "L 244.936477 126.035206 \n",
+       "L 248.183023 152.72972 \n",
+       "L 250.347386 169.058911 \n",
+       "L 252.51175 183.648705 \n",
+       "L 254.676114 196.191638 \n",
+       "L 256.840477 206.540101 \n",
+       "L 257.922659 210.887504 \n",
+       "L 259.004841 214.700181 \n",
+       "L 260.087023 218.001848 \n",
+       "L 261.169205 220.825157 \n",
+       "L 262.251386 223.211355 \n",
+       "L 263.333568 225.209356 \n",
+       "L 264.41575 226.873853 \n",
+       "L 265.497932 228.262333 \n",
+       "L 266.580114 229.431285 \n",
+       "L 268.744477 231.309614 \n",
+       "L 270.908841 232.821552 \n",
+       "L 274.155386 234.74593 \n",
+       "L 277.401932 236.381641 \n",
+       "L 280.648477 237.701755 \n",
+       "L 282.812841 238.38777 \n",
+       "L 286.059386 239.131966 \n",
+       "L 289.305932 239.580182 \n",
+       "L 292.552477 239.797088 \n",
+       "L 297.963386 239.812739 \n",
+       "L 391.031023 239.887418 \n",
+       "L 391.031023 239.887418 \n",
+       "\" clip-path=\"url(#pb936d42e0c)\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_3\">\n",
-       "    <path d=\"M 58.523438 288.430125 \n",
-       "L 58.523438 22.318125 \n",
+       "    <path d=\"M 50.14375 288.430125 \n",
+       "L 50.14375 22.318125 \n",
        "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_4\">\n",
-       "    <path d=\"M 415.643438 288.430125 \n",
-       "L 415.643438 22.318125 \n",
+       "    <path d=\"M 407.26375 288.430125 \n",
+       "L 407.26375 22.318125 \n",
        "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_5\">\n",
-       "    <path d=\"M 58.523438 288.430125 \n",
-       "L 415.643438 288.430125 \n",
+       "    <path d=\"M 50.14375 288.430125 \n",
+       "L 407.26375 288.430125 \n",
        "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_6\">\n",
-       "    <path d=\"M 58.523438 22.318125 \n",
-       "L 415.643438 22.318125 \n",
+       "    <path d=\"M 50.14375 22.318125 \n",
+       "L 407.26375 22.318125 \n",
        "\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
        "   </g>\n",
-       "   <g id=\"text_18\">\n",
+       "   <g id=\"text_16\">\n",
        "    <!-- Schmidt mode 1 -->\n",
-       "    <g transform=\"translate(187.8525 16.318125) scale(0.12 -0.12)\">\n",
+       "    <g transform=\"translate(179.472813 16.318125) scale(0.12 -0.12)\">\n",
        "     <defs>\n",
        "      <path id=\"DejaVuSans-53\" d=\"M 3425 4513 \n",
        "L 3425 3897 \n",
@@ -8033,27 +8001,27 @@
        "   </g>\n",
        "   <g id=\"legend_1\">\n",
        "    <g id=\"patch_7\">\n",
-       "     <path d=\"M 358.245 74.3525 \n",
-       "L 408.643438 74.3525 \n",
-       "Q 410.643438 74.3525 410.643438 72.3525 \n",
-       "L 410.643438 29.318125 \n",
-       "Q 410.643438 27.318125 408.643438 27.318125 \n",
-       "L 358.245 27.318125 \n",
-       "Q 356.245 27.318125 356.245 29.318125 \n",
-       "L 356.245 72.3525 \n",
-       "Q 356.245 74.3525 358.245 74.3525 \n",
+       "     <path d=\"M 349.865313 74.3525 \n",
+       "L 400.26375 74.3525 \n",
+       "Q 402.26375 74.3525 402.26375 72.3525 \n",
+       "L 402.26375 29.318125 \n",
+       "Q 402.26375 27.318125 400.26375 27.318125 \n",
+       "L 349.865313 27.318125 \n",
+       "Q 347.865313 27.318125 347.865313 29.318125 \n",
+       "L 347.865313 72.3525 \n",
+       "Q 347.865313 74.3525 349.865313 74.3525 \n",
        "z\n",
        "\" style=\"fill: #ffffff; opacity: 0.8; stroke: #cccccc; stroke-linejoin: miter\"/>\n",
        "    </g>\n",
-       "    <g id=\"line2d_20\">\n",
-       "     <path d=\"M 360.245 35.416562 \n",
-       "L 370.245 35.416562 \n",
-       "L 380.245 35.416562 \n",
+       "    <g id=\"line2d_18\">\n",
+       "     <path d=\"M 351.865313 35.416562 \n",
+       "L 361.865313 35.416562 \n",
+       "L 371.865313 35.416562 \n",
        "\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "    </g>\n",
-       "    <g id=\"text_19\">\n",
+       "    <g id=\"text_17\">\n",
        "     <!-- Re -->\n",
-       "     <g transform=\"translate(388.245 38.916562) scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(379.865313 38.916562) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
        "       <path id=\"DejaVuSans-52\" d=\"M 2841 2188 \n",
        "Q 3044 2119 3236 1894 \n",
@@ -8088,15 +8056,15 @@
        "      <use xlink:href=\"#DejaVuSans-65\" x=\"64.982422\"/>\n",
        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"line2d_21\">\n",
-       "     <path d=\"M 360.245 50.094687 \n",
-       "L 370.245 50.094687 \n",
-       "L 380.245 50.094687 \n",
+       "    <g id=\"line2d_19\">\n",
+       "     <path d=\"M 351.865313 50.094687 \n",
+       "L 361.865313 50.094687 \n",
+       "L 371.865313 50.094687 \n",
        "\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "    </g>\n",
-       "    <g id=\"text_20\">\n",
+       "    <g id=\"text_18\">\n",
        "     <!-- Im -->\n",
-       "     <g transform=\"translate(388.245 53.594687) scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(379.865313 53.594687) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
        "       <path id=\"DejaVuSans-49\" d=\"M 628 4666 \n",
        "L 1259 4666 \n",
@@ -8110,15 +8078,15 @@
        "      <use xlink:href=\"#DejaVuSans-6d\" x=\"29.492188\"/>\n",
        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"line2d_22\">\n",
-       "     <path d=\"M 360.245 64.772812 \n",
-       "L 370.245 64.772812 \n",
-       "L 380.245 64.772812 \n",
+       "    <g id=\"line2d_20\">\n",
+       "     <path d=\"M 351.865313 64.772812 \n",
+       "L 361.865313 64.772812 \n",
+       "L 371.865313 64.772812 \n",
        "\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n",
        "    </g>\n",
-       "    <g id=\"text_21\">\n",
+       "    <g id=\"text_19\">\n",
        "     <!-- Abs -->\n",
-       "     <g transform=\"translate(388.245 68.272812) scale(0.1 -0.1)\">\n",
+       "     <g transform=\"translate(379.865313 68.272812) scale(0.1 -0.1)\">\n",
        "      <defs>\n",
        "       <path id=\"DejaVuSans-62\" d=\"M 3116 1747 \n",
        "Q 3116 2381 2855 2742 \n",
@@ -8187,8 +8155,8 @@
        "  </g>\n",
        " </g>\n",
        " <defs>\n",
-       "  <clipPath id=\"p9d943c5d0d\">\n",
-       "   <rect x=\"58.523438\" y=\"22.318125\" width=\"357.12\" height=\"266.112\"/>\n",
+       "  <clipPath id=\"pb936d42e0c\">\n",
+       "   <rect x=\"50.14375\" y=\"22.318125\" width=\"357.12\" height=\"266.112\"/>\n",
        "  </clipPath>\n",
        " </defs>\n",
        "</svg>\n"
@@ -8215,7 +8183,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 112,
+   "execution_count": 38,
    "metadata": {},
    "outputs": [
     {
@@ -8224,7 +8192,7 @@
        "(0.0, 1.1)"
       ]
      },
-     "execution_count": 112,
+     "execution_count": 38,
      "metadata": {},
      "output_type": "execute_result"
     },
@@ -8239,7 +8207,7 @@
        "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2024-09-30T21:35:10.620420</dc:date>\n",
+       "    <dc:date>2024-10-02T12:33:26.270307</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
@@ -8276,7 +8244,7 @@
        "L 87.638264 95.39285 \n",
        "L 61.135852 95.39285 \n",
        "z\n",
-       "\" clip-path=\"url(#pffd9ac7ee1)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#p5d38b887a4)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_4\">\n",
        "    <path d=\"M 94.263867 288.430125 \n",
@@ -8284,7 +8252,7 @@
        "L 120.766279 273.652251 \n",
        "L 94.263867 273.652251 \n",
        "z\n",
-       "\" clip-path=\"url(#pffd9ac7ee1)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#p5d38b887a4)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_5\">\n",
        "    <path d=\"M 127.391882 288.430125 \n",
@@ -8292,7 +8260,7 @@
        "L 153.894294 277.206062 \n",
        "L 127.391882 277.206062 \n",
        "z\n",
-       "\" clip-path=\"url(#pffd9ac7ee1)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#p5d38b887a4)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_6\">\n",
        "    <path d=\"M 160.519897 288.430125 \n",
@@ -8300,7 +8268,7 @@
        "L 187.022309 284.516258 \n",
        "L 160.519897 284.516258 \n",
        "z\n",
-       "\" clip-path=\"url(#pffd9ac7ee1)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#p5d38b887a4)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_7\">\n",
        "    <path d=\"M 193.647912 288.430125 \n",
@@ -8308,7 +8276,7 @@
        "L 220.150324 284.598817 \n",
        "L 193.647912 284.598817 \n",
        "z\n",
-       "\" clip-path=\"url(#pffd9ac7ee1)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#p5d38b887a4)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_8\">\n",
        "    <path d=\"M 226.775926 288.430125 \n",
@@ -8316,7 +8284,7 @@
        "L 253.278338 286.552208 \n",
        "L 226.775926 286.552208 \n",
        "z\n",
-       "\" clip-path=\"url(#pffd9ac7ee1)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#p5d38b887a4)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_9\">\n",
        "    <path d=\"M 259.903941 288.430125 \n",
@@ -8324,7 +8292,7 @@
        "L 286.406353 286.558008 \n",
        "L 259.903941 286.558008 \n",
        "z\n",
-       "\" clip-path=\"url(#pffd9ac7ee1)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#p5d38b887a4)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_10\">\n",
        "    <path d=\"M 293.031956 288.430125 \n",
@@ -8332,7 +8300,7 @@
        "L 319.534368 286.924542 \n",
        "L 293.031956 286.924542 \n",
        "z\n",
-       "\" clip-path=\"url(#pffd9ac7ee1)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#p5d38b887a4)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_11\">\n",
        "    <path d=\"M 326.159971 288.430125 \n",
@@ -8340,7 +8308,7 @@
        "L 352.662383 287.327525 \n",
        "L 326.159971 287.327525 \n",
        "z\n",
-       "\" clip-path=\"url(#pffd9ac7ee1)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#p5d38b887a4)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"patch_12\">\n",
        "    <path d=\"M 359.287986 288.430125 \n",
@@ -8348,18 +8316,18 @@
        "L 385.790398 287.330092 \n",
        "L 359.287986 287.330092 \n",
        "z\n",
-       "\" clip-path=\"url(#pffd9ac7ee1)\" style=\"fill: #1f77b4\"/>\n",
+       "\" clip-path=\"url(#p5d38b887a4)\" style=\"fill: #1f77b4\"/>\n",
        "   </g>\n",
        "   <g id=\"matplotlib.axis_1\">\n",
        "    <g id=\"xtick_1\">\n",
        "     <g id=\"line2d_1\">\n",
        "      <defs>\n",
-       "       <path id=\"m52cbaf761c\" d=\"M 0 0 \n",
+       "       <path id=\"m4097c7193f\" d=\"M 0 0 \n",
        "L 0 3.5 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m52cbaf761c\" x=\"107.515073\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m4097c7193f\" x=\"107.515073\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_1\">\n",
@@ -8398,7 +8366,7 @@
        "    <g id=\"xtick_2\">\n",
        "     <g id=\"line2d_2\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m52cbaf761c\" x=\"173.771103\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m4097c7193f\" x=\"173.771103\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_2\">\n",
@@ -8432,7 +8400,7 @@
        "    <g id=\"xtick_3\">\n",
        "     <g id=\"line2d_3\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m52cbaf761c\" x=\"240.027132\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m4097c7193f\" x=\"240.027132\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_3\">\n",
@@ -8477,7 +8445,7 @@
        "    <g id=\"xtick_4\">\n",
        "     <g id=\"line2d_4\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m52cbaf761c\" x=\"306.283162\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m4097c7193f\" x=\"306.283162\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_4\">\n",
@@ -8531,7 +8499,7 @@
        "    <g id=\"xtick_5\">\n",
        "     <g id=\"line2d_5\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#m52cbaf761c\" x=\"372.539192\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m4097c7193f\" x=\"372.539192\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_5\">\n",
@@ -8902,12 +8870,12 @@
        "    <g id=\"ytick_1\">\n",
        "     <g id=\"line2d_6\">\n",
        "      <defs>\n",
-       "       <path id=\"mbea131a893\" d=\"M 0 0 \n",
+       "       <path id=\"m7fb9ee52fb\" d=\"M 0 0 \n",
        "L -3.5 0 \n",
        "\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </defs>\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mbea131a893\" x=\"44.903125\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m7fb9ee52fb\" x=\"44.903125\" y=\"288.430125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_7\">\n",
@@ -8931,7 +8899,7 @@
        "    <g id=\"ytick_2\">\n",
        "     <g id=\"line2d_7\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mbea131a893\" x=\"44.903125\" y=\"240.046125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m7fb9ee52fb\" x=\"44.903125\" y=\"240.046125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_8\">\n",
@@ -8946,7 +8914,7 @@
        "    <g id=\"ytick_3\">\n",
        "     <g id=\"line2d_8\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mbea131a893\" x=\"44.903125\" y=\"191.662125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m7fb9ee52fb\" x=\"44.903125\" y=\"191.662125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_9\">\n",
@@ -8961,7 +8929,7 @@
        "    <g id=\"ytick_4\">\n",
        "     <g id=\"line2d_9\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mbea131a893\" x=\"44.903125\" y=\"143.278125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m7fb9ee52fb\" x=\"44.903125\" y=\"143.278125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_10\">\n",
@@ -8976,7 +8944,7 @@
        "    <g id=\"ytick_5\">\n",
        "     <g id=\"line2d_10\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mbea131a893\" x=\"44.903125\" y=\"94.894125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m7fb9ee52fb\" x=\"44.903125\" y=\"94.894125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_11\">\n",
@@ -8991,7 +8959,7 @@
        "    <g id=\"ytick_6\">\n",
        "     <g id=\"line2d_11\">\n",
        "      <g>\n",
-       "       <use xlink:href=\"#mbea131a893\" x=\"44.903125\" y=\"46.510125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m7fb9ee52fb\" x=\"44.903125\" y=\"46.510125\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
        "     <g id=\"text_12\">\n",
@@ -9273,7 +9241,7 @@
        "  </g>\n",
        " </g>\n",
        " <defs>\n",
-       "  <clipPath id=\"pffd9ac7ee1\">\n",
+       "  <clipPath id=\"p5d38b887a4\">\n",
        "   <rect x=\"44.903125\" y=\"22.318125\" width=\"357.12\" height=\"266.112\"/>\n",
        "  </clipPath>\n",
        " </defs>\n",