{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Majorana Stars and Structured Gaussian Beams\n", "\n", "In this notebook, we'll be exploring yet another fascinating application of our favorite construction: the \"Majorana stars.\" \n", "\n", "We know well how we can view constellations on the 2-sphere as SU(2) representations, in other words, as spin-j states (up to phase). These states represent the intrinsic angular momentum of a massive particle. On the other hand, massless particles also have a form of intrinsic angular momentum: polarization. Indeed, we've seen how we can use the sphere to represent polarization states: a trick that was known even to Poincare. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To refresh your memory:\n", "\n", "Given a qubit quantized along the $Z$ axis, we can obtain the corresponding polarization ellipse simply by rotating the overall phase of the state, and taking the real part of its two components. If we treat these two real numbers as $(x, y)$ coordinates in the plane, they trace out the correct ellipse. \n", "\n", "In this basis, $Z+$/$Z-$ correspond to horizontal/vertical polarization, $X+$/$X-$ correspond to diagonal/antidiagonal polarization, and $Y+$/$Y-$ correspond to clockwise/counterclockwise circular polarization. Any arbitrary point on the sphere, thus, corresponds to some ellipse in the plane. \n", "\n", "In this case, we'd take the $Y$ axis to coincide with the linear momentum axis of the massless particle, and consider its polarization state to consist of a possible superposition of clockwise/counterclockwise states, which are sufficient to describe *any ellipse*. We could imagine that this polarization state is telling us how the photon is \"corkscrewing\"/oscillating in the plane orthogonal to its motion. \n", "\n", "A photon is of course a spin-1 particle, but since it's massless, it's $m=0$ state, which would correspond to longitudinal polarization (in the direction of its motion), must be 0, and so it reduces down to a two state system. Don't ask me for the [details](https://physics.stackexchange.com/questions/46643/why-is-the-s-z-0-state-forbidden-for-photons)!\n", "\n", "Instead, let's visualize this correspondence between the sphere and the ellipse:" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "from spheres import *\n", "import vpython as vp\n", "\n", "qubit = basis(2, 0, 'z')\n", "xyz = spinor_xyz(qubit)\n", "\n", "scene = vp.canvas(background=vp.color.white)\n", "vsphere = vp.sphere(pos=vp.vector(2,0,0), color=vp.color.blue, opacity=0.3)\n", "varrow = vp.arrow(pos=vsphere.pos, axis=vp.vector(*xyz))\n", "\n", "x, y = components(qubit).real\n", "vpt = vp.sphere(pos=vp.vector(x,y,0), radius=0.1, color=vp.color.yellow, make_trail=True)\n", "\n", "for t in np.linspace(0, 2*np.pi, 8000):\n", " x, y = components(np.exp(1j*t)*qubit).real\n", " vpt.pos = vp.vector(x,y,0)\n", " vp.rate(1000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "More geometrically:\n", "\n", "\n", "\n", "On the other hand, it's less well known, but one can interpret a full spin-$1$ state of two stars geometrically in terms of polarization. According to [Bliokh, Alonso, and Dennis (and Hannay)](https://arxiv.org/abs/1903.01304): the unit vector which bisects the two stars picks out a direction normal to a plane. Projecting the two points onto this plane, one obtains the two foci of the polarization ellipse. In other words, a spin-1 state specifies an ellipse *oriented in 3D*. The direction normal to the plane is taken to be the direction of propagation of the photon. In the degenerate case of the two stars in the same location, we get circular polarization; and beautifully, the $m=0$ case, when two stars are opposite, never comes up, since the polarization plane rotates along with them, and we get linearly polarized light instead.\n", "\n", "\n", "\n", "(As the paper points out, however, this construction gets the size of ellipse wrong, and they suggest a slight variant as a remedy.) \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "So we have this correspondence between $X, Y, Z$ directions on the sphere and diagonal/antidiagonal, clockwise/counterclockwise, horizontal/vertical polarization states in the plane.\n", "\n", "This manifests as well in the oscillator representation. As we've seen, we can \"second quantize\" a qubit, introducing a quantum harmonic oscillator to each of its two basis states $\\mid \\uparrow \\rangle$ and $\\mid \\downarrow \\rangle$, and interpret the resulting Fock space in terms of a \"tower\" of spin states of all possible $j$ values. To wit, the $\\mid 00 \\rangle$ state of the two oscillators corresponds to a spin-$0$ state, the $\\mid 10 \\rangle$ and $\\mid 01\\rangle$ oscillator states correspond to the two states of a spin-$\\frac{1}{2}$, the $\\mid 20 \\rangle$, $\\mid 11 \\rangle$, $\\mid 02 \\rangle$ states correspond to the three states of a spin-$1$, and so on. By a standard construction, we can second quantize qubit operators to act on the whole Fock space, obtaining second quantized versions of the Pauli matrices, which are block diagonal, and generate simultaneous rotations in each of the spin sectors. \n", "\n", "If, however, we consider the position wavefunctions of the two oscillators, which is the same thing as the position wavefunction of a single 2D oscillator in the plane, then we notice something interesting. $X$ eigenstates correspond to diagonally/antidiagonally symmetric position states, $Y$ eigenstates correspond to circularly symmetric position states, and $Z$ eigenstates correspond to horizontally/vertically symmetric position states. \n", "\n", "Below, we look at a random state of the two oscillators and make a spin measurement. Above, you see the tower of spin states from $0, \\frac{1}{2}, 1, \\dots$; and below, a plane where the amplitudes for the positions are depicted as black arrows. They are discretized because we've truncated the Fock space. The yellow dot represented the expected position of the 2D quantum oscillator. Try it for $X$, $Y$, and $Z$!" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "from spheres import *\n", "\n", "scene = vp.canvas(background=vp.color.white)\n", "s = SchwingerSpheres(state=vacuum(cutoff_dim=5), scene=scene, show_plane=True)\n", "s.random(); s.measure('y')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Does this have a physical interpretation? Certainly, if you want to analyze a 2D quantum oscillator, it might be useful to exploit this \"stellar decomposition.\" But are we still talking about polarization, or what?\n", "\n", "It turns out that the correct interpretation isn't in terms of the polarization of light--in other words, its intrinsic angular momentum--but in terms of the [*orbital* angular momentum of light](https://en.wikipedia.org/wiki/Orbital_angular_momentum_of_light), its extrinsic angular momentum--with an interesting twist, as we'll see!\n", "\n", "We're perhaps more familiar with the case for a massive particle, which has both a spin and orbital angular momentum. The latter given by $L = Q \\times P$ or:\n", "\n", "$$ L_{x} = Q_{y}P_{z} - Q_{z}P_{y} $$\n", "\n", "$$ L_{y} = Q_{z}P_{x} - Q_{x}P_{z} $$\n", "\n", "$$ L_{z} = Q_{x}P_{y} - Q_{y}P_{x} $$\n", "\n", "Here the $Q$'s and $P$'s are the position and momentum operators. The total angular momentum is the sum of the spin and orbital parts. \n", "\n", "Well, the same goes for light! On the one hand, if a light beam is cylindrically symmetric, and one choses the origin at the beam axis, then the orbital angular momentum will be 0. On the other hand, one can consider helical modes of light, such that the beam's wavefront is corkscrewing around an \"optical vortex\" at the center.\n", "\n", "\n", "\n", "One imagines polarization itself as a kind of corkscrewing, but this is actually a second level kind of corkscrewing. Consider this image:\n", "\n", "\n", "\n", "The idea is we're considering a spatial cross section of a beam, such that the polarization state actually varies across it! In other words, the polarization is a property of \"each point\" as it were, each photon, but the OAM is a property of the overall beam. This is a great reference." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "Today we'll be considering \"structured Gaussian beams.\" They are solutions to the \"paraxial wave equation,\" in other words, the regime of something like a laser, where pretty much everything that's going on is going on close to the axis of propagation (the small angle apparoximation). Structured Gaussian beams are \"self-similar,\" in that their cross-sections all look the same up to scaling. The structured part is going to make things interesting!\n", "\n", "Following [Bassa and Konrad](http://events.saip.org.za/getFile.py/access?contribId=365&sessionId=18&resId=0&materialId=paper&confId=7), we can turn Maxwell's equations into scalar wave equations for each component of the electric and magnetic fields:\n", "\n", "$$ \\nabla^{2}\\Psi - \\frac{1}{v^2}\\frac{\\partial^{2}}{\\partial t^{2}}\\Psi = 0 $$\n", "\n", "$\\Psi$ is going to be a complex valued function, assigning \"amplitudes\" to each point in space and time, whose complex phase corresponds to the phase of the EM wave, and whose amplitude squared corresponds to the intensity.\n", "\n", "We want to consider a laser beam heading in one direction, monochromatic, whose transverse beam profile $u(x,y,z)$ varies slowly as it zips along in the z direction (the longitudinal direction).\n", "\n", "First, we can separate out the time part $\\Psi(x,y,z,t) = u(x, y, z)e^{-i\\omega t}$, where $\\omega$ is the angular frequency. Thus the spatial part $u(x, y, z)$ must satisfy:\n", "\n", "$$ \\nabla^{2}u(x, y, z) + k^2 u(x, y, z) = 0$$\n", "\n", "Since the wave number $k = \\frac{\\omega}{v}$.\n", "\n", "Now we engage in some simplification. We want $u(x, y, z)$ to have the form:\n", "\n", "$$ u(x, y, z) = u_{0}(x, y, z)e^{ikz} $$\n", "\n", "Which will account for the wave oscillation along the propagation direction.\n", "\n", "Plugging in (and expanding out the $\\nabla^2$) we obtain:\n", "\n", "$$ \\frac{\\partial^2 u_{0}}{\\partial x^2} + \\frac{\\partial^2 u_{0}}{\\partial y^2} + \\frac{\\partial^2 u_{0}}{\\partial z^2} + 2ik\\frac{\\partial u_{0}}{dz} = 0$$\n", "\n", "To obtain the paraxial approximation we consider $u_{0}$ to vary slowly with $z$ (leading to a slow decrease in amplitude as the wave propagates), and thus drop the $\\frac{\\partial^2 u_{0}}{\\partial z^2}$ term, obtaining:\n", "\n", "$$ (\\frac{\\partial^{2}}{\\partial x^{2}} + \\frac{\\partial^2}{\\partial y^2})u_{0}(x, y, z) = -2ik\\frac{\\partial}{\\partial z}u_{0}(x, y, z) $$\n", "\n", "Looking at this equation, it might occur to you that it looks exactly like the Schrodinger equation for a two dimensional free particle! Only the $z$ coordinate is playing the role of time! (And the wave number is acting like Planck's constant!) \n", "\n", "We're just talking about a classical EM wave, and yet here we find a quantum equation staring us in the face. \n", "\n", "Solutions to this equation can be interpreted in both a classical and a quantum sense, and one thing that means is that we can use all of our quantum mechanical machinery to deal with this classical \"wavefunction.\"\n", "\n", "Indeed, we could consider the two dimensional quantum harmonic oscillator, as we did originally, and consider all of its energy states: they form a complete basis for wavefunctions on the plane. And so in principle, we could decompose our *classical light beam* in terms of the basis states of the *quantum 2D oscillator*. \n", "\n", "And because of that, we'll be able to associate to the beam a set of Majorana constellations. \n", "\n", "Indeed, we can employ the whole formalism of creation and annihilation operators, and so forth. And in fact, for structured Gaussian beams specifically, the 2D quantum harmonic oscillator Hamiltonian will describe the propagation of the beam: the z-axis will play the role of time. \n", "\n", "Of course, to actually consider a *quantum light beam*, we'd have to second quantize: for each mode into which we've decomposed the beam, we'd have to introduce a quantum harmonic oscillator to counts the number of photons in that mode, and so on, and so forth. \n", "\n", "But I want to emphasize the bizarre classical/quantum incest that's going on here. We can represent the classical light beam as a \"state vector\", whose cross sections will be the transverse beam profile of the electric field (which is measurable)--but this is different from the wavefunction of a photon in that mode! In the first case, the amplitude squared of the wavefunction represents the intensity of the electric field, whereas in the second case the amplitude squared represents the probability for finding a photon in that state. \n", "\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The simplest solution to the paraxial Maxwell's equations is the Gaussian beam. \n", "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, $A$ is some normalization.\n", " \n", "$w_{0}$ is the \"waist radius\" or \"beam waist\", which measures the size of the beam at the point of focus $z=0$, and $w(z)$ is the beam width. \n", "\n", "$R(z) = z(1 + (\\frac{z_{R}}{z})^2)$ is the the radius of curvature of the beam's wavefronts.\n", "\n", "$z_{R}$ is the \"Rayleigh distance\": $\\frac{\\pi w_{0}^2 n}{\\lambda}$, where $\\lambda$ is the wavelength and $n$ is the index of refraction. \n", "\n", "$\\phi(z) = \\arctan(\\frac{z}{z_{R}})$ is the Gouy phase, which has a great name!\n", "\n", "This picture from [wikipedia](https://en.wikipedia.org/wiki/Gaussian_beam) is illuminating:\n", "\n", "\n", "\n", "The intensity profile, or cross section of the beam, at its point of focus, would look like:\n", "\n", "\n", "\n", "In either direction along the direction of propagation, it would look the same, only slowly increasing in size. \n", "\n", "So that's the simplest case!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "We now turn to structured Gaussian beams.\n", "\n", "Given what I said earlier, and knowing that the energy states of the quantum harmonic oscillator can be written in terms of the Hermite polynomials, it would make sense if we could decompose our classical light beam into the so-called [Hermite-Gaussian modes](https://en.wikipedia.org/wiki/Gaussian_beam#Hermite-Gaussian_modes), which essentially consist in two Hermite polynomials in x and y multiplied by a Gaussian. Shamelessly ripped from wikipedia:\n", "\n", "\n", "\n", "Here $E_{0}$ hides the normalization and $\\psi(z) = (N+1)\\arctan(\\frac{z}{z_{R}})$, the Gouy phase. $N = l + m$, where $l$ and $m$ denote which Hermite polynomials we're using.\n", "\n", "Okay. But morally speaking, it's just a 2D quantum harmonic oscillator state energy state with some bells and whistles.\n", "\n", "Compare the wavefunction for a 1D quantum harmonic oscillator energy state:\n", "\n", "\n", "\n", "The difference is that we've got this $\\frac{w_{0}}{w(z)}$ term at the front, we're dividing things by (powers of) $w(z)$, and we have these phase terms. The effect is to make sure we're describing a beam.\n", "\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In what follows, however, we'll be following [this reference](https://arxiv.org/abs/1901.06987), and so use instead the Laguerre-Gaussian modes, which are closely related.\n", "\n", "We'll see that the Hermite-Gaussian modes have horizontal/vertical symmetries in the plane, while the Laguerre-Gaussian modes have circular symmetries. And in fact, by using $X, Y, Z$ rotations, we'll be able to rotate Hermite-Gaussian modes into Laguerre-Gaussian modes, and vice versa, and even get modes that are in between (Hermite-Laguerre-Gaussian modes). It will be just the same correspondence that we saw before in the relationship between the sphere of a qubit and the polarization ellipse.\n", "\n", "The Laguerre-Gauss modes are given by:\n", "\n", "\n", "\n", "Here $\\textbf{r}$ is understood as $(r, \\phi, w)$: we're working in cylindrical coordinates, where $w$ is $w(z)$ from above. The index $N$ takes integer values and $l$ runs from $-N$ to $N$ in steps of two. They parameterize the [generalized Laguerre polynomials](https://en.wikipedia.org/wiki/Laguerre_polynomials#Generalized_Laguerre_polynomials). We have some normalization, some phase terms, and a Gaussian falloff.\n", "\n", "The upshot is that any structured Gaussian beam of total order $N$ can be decomposed in terms of LG modes as:\n", "\n", "$$\\mid B \\rangle = \\sum_{l} c_{l}\\mid N, l \\rangle$$\n", "\n", "In honor of the classical/quantum crossover, we've employed the Dirac notation.\n", "\n", "So for $N=3$, say, we'd have states for $l=-3, -1, 1, 3$. \n", "\n", "Finally, we simply associate these states with the $\\mid j, m \\rangle$ states of a spin-$\\frac{N}{2}$ particle, dividing $N$ and $l$ by $2$ to get the $j$ and $m$ values. And from the spin state, we have our stars. Easy as pie!\n", "\n", "$$ \\mid 3, -3 \\rangle \\rightarrow \\mid \\frac{3}{2}, -\\frac{3}{2} \\rangle$$\n", "\n", "$$ \\mid 3, -1 \\rangle \\rightarrow \\mid \\frac{3}{2}, -\\frac{1}{2} \\rangle$$\n", "\n", "$$ \\mid 3, 1 \\rangle \\rightarrow \\mid \\frac{3}{2}, \\frac{1}{2} \\rangle$$\n", "\n", "$$ \\mid 3, 3 \\rangle \\rightarrow \\mid \\frac{3}{2}, \\frac{3}{2} \\rangle$$\n", "\n", "We can then describe a structured Gaussian beam of *any order* as a tower of spin states aka a spin in a superposition of $j$ values, just as we've been doing. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "Alright, enough talk, let's see it in action!\n", "\n", "First, let's define our LG modes. Luckily, scipy can help us with our generalized Laguerre polynomials. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from math import factorial\n", "from numpy import sqrt, pi, exp, abs, angle\n", "from scipy.special import eval_genlaguerre\n", "\n", "def laguerre_gauss_mode(N, l, coordinates=\"cartesian\"):\n", " \"\"\"\n", " N is an integer.\n", " l runs from -N to N in steps of 2.\n", " \"\"\"\n", " def mode(r, phi, z): # cylindrical coordinates\n", " w0 = 1 # waist radius\n", " n = 1 # index of refraction\n", " lmbda = 1 # wavelength\n", " zR = (pi*n*(w0**2))/lmbda # rayleigh range\n", " w = w0*sqrt(1+(z/zR)**2) # spot size parameter\n", " return \\\n", " ((1j**(abs(l)-N))/w)*\\\n", " sqrt(((2**(abs(l)+1))*factorial((N-abs(l))/2))/\\\n", " (pi*factorial((N+abs(l))/2)))*\\\n", " exp(-(r**2)/w**2)*\\\n", " ((r/w)**abs(l))*\\\n", " exp(1j*l*phi)*\\\n", " eval_genlaguerre((N-abs(l))/2, abs(l), (2*r**2)/w**2)\n", " if coordinates == \"cylindrical\":\n", " return mode\n", " elif coordinates == \"cartesian\":\n", " def cartesian(x, y, z):\n", " c = x+1j*y\n", " r, phi = abs(c), angle(c)\n", " return mode(r, phi, z)\n", " return cartesian" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we need a way to visualize them. The LG modes give us a complex value for each cylindrical coordinate. We'll be visualizing them in the standard way in the plane, where color will correspond to the phase, and brightness to the magnitude." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from colorsys import hls_to_rgb\n", "\n", "# Adapted from:\n", "# https://stackoverflow.com/questions/17044052/mathplotlib-imshow-complex-2d-array\n", "def colorize(z):\n", " n,m = z.shape\n", " c = np.zeros((n,m,3))\n", " c[np.isinf(z)] = (1.0, 1.0, 1.0)\n", " c[np.isnan(z)] = (0.5, 0.5, 0.5)\n", " idx = ~(np.isinf(z) + np.isnan(z))\n", " A = (np.angle(z[idx]) + np.pi) / (2*np.pi)\n", " A = (A + 0.5) % 1.0\n", " B = 1.0 - 1.0/(1.0+abs(z[idx]))\n", " c[idx] = [hls_to_rgb(a, b, 1) for a,b in zip(A,B)]\n", " return c\n", "\n", "def viz_beam(beam, size=3.5, n_samples=100):\n", " x = np.linspace(-size, size, n_samples)\n", " y = np.linspace(-size, size, n_samples)\n", " X, Y = np.meshgrid(x, y)\n", " plt.imshow(colorize(beam(X, Y, np.zeros(X.shape))), interpolation=\"none\", extent=(-size,size,-size,size))\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, let's check out $N=0, l=0$. That just corresponds to a Gaussian beam. No funky business." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "viz_beam(laguerre_gauss_mode(0,0))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Modes $N=1, l=-1, 1$ correspond to a corkscrewing beam with a optical vortex in the center." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "viz_beam(laguerre_gauss_mode(1,-1))\n", "viz_beam(laguerre_gauss_mode(1,1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Modes $N=2, l=-2, 0, 2$:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "viz_beam(laguerre_gauss_mode(2,-2))\n", "viz_beam(laguerre_gauss_mode(2,0))\n", "viz_beam(laguerre_gauss_mode(2,2))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Modes $N=3, l=-3, -1, 1, 3$:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "viz_beam(laguerre_gauss_mode(3,-3))\n", "viz_beam(laguerre_gauss_mode(3,-1))\n", "viz_beam(laguerre_gauss_mode(3,1))\n", "viz_beam(laguerre_gauss_mode(3,3))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that the LG modes are basically going to give us concentric rings.\n", "\n", "Now let's incorporate the stars. Given a spin state, we'll associate its $\\mid j, m \\rangle$ components to LG modes, and package up the sum as a single python function. Then we'll evaluate it--and visualize the constellation as well." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "from spheres import *\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "def spin_beam(spin, coordinates=\"cartesian\"):\n", " j = (spin.shape[0]-1)/2\n", " v = components(spin)\n", " lg_basis = [laguerre_gauss_mode(int(2*j), int(2*m), coordinates=coordinates) for m in np.arange(-j, j+1)]\n", " if coordinates == \"cartesian\":\n", " def beam(x, y, z):\n", " return sum([v[int(m+j)]*lg_basis[int(m+j)](x, y, z) for m in np.arange(-j, j+1)])\n", " return beam\n", " elif coordinates == \"cylindrical\":\n", " def beam(r, phi, z):\n", " return sum([v[int(m+j)]*lg_basis[int(m+j)](r, phi, z) for m in np.arange(-j, j+1)])\n", " return beam\n", " \n", "def viz_spin_beam(spin, size=3.5, n_samples=200):\n", " stars = spin_xyz(spin)\n", " beam = spin_beam(spin)\n", " fig = plt.figure(figsize=plt.figaspect(0.5))\n", "\n", " bloch_ax = fig.add_subplot(1, 2, 1, projection='3d')\n", " sphere = qt.Bloch(fig=fig, axes=bloch_ax)\n", " if spin.shape[0] != 1:\n", " sphere.point_size=[300]*(spin.shape[0]-1)\n", " sphere.add_points(stars.T)\n", " sphere.add_vectors(stars)\n", " sphere.make_sphere()\n", "\n", " beam_ax = fig.add_subplot(1, 2, 2)\n", " x = np.linspace(-size, size, n_samples)\n", " y = np.linspace(-size, size, n_samples)\n", " X, Y = np.meshgrid(x, y)\n", " beam_ax.imshow(colorize(beam(X, Y, np.zeros(X.shape))), interpolation=\"none\", extent=(-size,size,-size,size))\n", "\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a test, let's make sure we can reproduce this image from the paper:\n", "\n", "\n", "\n", "They start with a spin coherent state at $\\phi = \\frac{\\pi}{2}, \\theta = \\frac{\\pi}{2}$ in spherical coordiantes, for $j=3$. This means $6$ stars at that point on the sphere." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "star = sph_xyz([np.pi/4, np.pi/4])\n", "spin = xyz_spin([star, star, star, star, star, star])\n", "beam = spin_beam(spin)\n", "\n", "viz_beam(beam, size=3.5, n_samples=200)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looks good, up to our choice of coloring scheme! So then they consider the spin state with $5$ stars at that point, and $1$ star in the opposite direction--and then $2$ stars in the opposite direction, and so on. (All of which together form a $\\mid j, m \\rangle$ basis set, quantized along this particular axis)." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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Vf4zG4DmYfgb+R6WUfzOl9B3wb6SU/lgp5c88w7XfsVxF+nrXNXZvQB63BYUcJ8i6v8NMA3zdNhiGgl2snh4q/FBv1caarW/nuvqobB8U8Qb0rtsmck5gur21XpHpYwecBvSmgAe21+M3437svQPbg4J+YCU09N+hAX9tb2seHp2PFHZPBH2qRrw2cJdwlIE/EXsyiL1kI3mffuHI75H1t4+XxiRq9j2wowzw3MB/jqGq/xLwl3T5+5TSrwO/GfjIoO9BGlZWgN84doupAa9tBoDA+GEq8TYdy9flIbB9l4Eq5QBXPWZY+iDT0jyeQNxs9ibib4HeAT8Y6EuYwjn+zRT0g4E9Q5oRQ94W018HfTToQWD60fc3Ls7wDQjLSfk5NYBvgS+/mBj1HPQD1uHG5QS31gO0MXyuDKx+6KbCRCHez7N79dWuhCWP3HOAJ8Cboc/EZZdS+muBvxn4yENVP8Dw6wfpdqf2d6zz4sc3FOvAbzqthfpQkge0RfCnQeFVcGs97iJv4GfAzx5e4qAv7bEV7rvaBFCrH+z0CqNWS0oSps9DB/6O6VOCcU9leXYC/Cji6/EG+k0rvl6yxv7AiuWbsevCNwBtd1S0N8AnBTvsKOww4MsvN2pDJ2xfG7t6BRfvU/NN/VubF78PeOpL61iQO2RtAHq2T815UaDv9ft2z/b6+5dnA31K6VvgDwP/UCnl5/3+UsrvB36/HvuMzVi6spq21215E+gp1LZwvjUCKewPzneTjk3Hr8stJbes1zF9rPRDUUwVGLJ3HWlBXxi6WxjbxzPkyYXlxwD8bIDP/cPSXnVAAJ8i4DvxnqF+h4bxoWVw3Tb23yPsr+/fMf1QqEBPDejHTdBH4JuQbq46mzxI1xqAGLtnRlFz8rX1zJsLW7fiHXZ7tt+ipi39vr1eLM8D/GcBfUppjwD+D5VS/sXnuOYT7vrEfRvgr3W7B3ZAXjz9Kiac7UtrzN4EPElwMiZhrsF0eiXSCOJBpYFhgJS3mD4a+Vy3T4xVDog6/a4B/tDq9Q1aoRFhRrMq7nyiZ3ppAAp5FZIbP3nzuaMub+A36QZr8ML3UY4eKvB3iAxjTB/F+x0esOP2DNfn229o39Qj8+XI1AA+zlt9O3rvS71+VBPikX0Rht/i+ucCeV+ew3qfgD8A/Hop5Z/48Ed60l2fuO+B5RXIw3KjAhTftlpOFfjVE0ZrH4tIrpV8UCyZeJ8D43VsJ6KtV1150t6q76wvoJAlsyF7RFpiVuBPBnoDfmV8CB9CH2yPsPyOVrTfBn0V8+Nn7draYQiXD3eMgI/i/RAY3icBOxX0LdNvgT7q9B5qG79S1OWtW44B3etFC8RyZXtkfYHwtTNaMZ8A9ucX85+D6f8LwH8P+LdTSn9at/0jpZRffYZrb5R3AHy6sj3ub6zW3VSPi4Y7oyTw+NmCecLslAbwXa2uBGqgXwLb2WEN6GHIwtNy+RhkaoC3RmDEmoUIegP8TucDibx0wLcXMNRa6zUqsKLLjp7pNUuNCQwGfsJ3iZ80dXP7RGbkDEw/KNMPVU4Z9U0i6PewCfqhqjeeUaiPr6cDvMfs0Zyx1FeIzN5OpR7f9pdw0AflMVzPxXxZf8FhuKWUf5WHkfiRyhNYvc62GC2uJqeZSFMxaL4CWdBbhuKYUdaPcTBrOhPgo5cYOoPWGvRWKQ30niqiDdctJBVve9Ab4I0n85JgSdr7JIA+R7pOMBjody3gU8hkHyz4K6CH7fGzN375gJymMw5rwA8KeJn2OOD3eoM16C16Xj6/fS8PsX0I8FvV2x53xMHuoO8NfPabpcD9LddHa/66PC/bf2YRedfalgcAv7UtKt+9pSkC306tKDTWN0Rq7RxE762YUQDXwDeTAkIDUEVcVHw1pk/1kPYWC6S86CMZ6F3Xj+E4YxVr5YEWEnuc6Y0nq4gfgQ80MnqBtS6/wfQMIjQQ2hDayX6G1XLpgB/xJ18IOrG+Bb4BPoJeGr5BjXkeXuNx9hH0DwHe32E7Cj8C3cAvSTY8kYk1MX5Fv1YLd5MMtv33z1E+I9B/KOC7eXSiR/BvuKxb4EfAG+tLeGpRebRnegN8z/qGmXGUBmCYwyPEW6xAv6gjyvXQyPxSicYG9GvgC4yWCHgDfUStbVuBvbfeq5KRygq7FTRae3ujF7avQMmyXOxk+UIQAB+ngX1gewO9WfNHBb5/qYR1pzUY201igI0rTK1Trwe4rI+Myvol/A0V+HJ27Pxs2+LXqF+i+TbX2f39G4Th8UNu5VZu5UsqnwnTb7F8v+0xlr+2LTD+llO5Gu1g5U+q6/gcyEMWPT2JqD8Y4/fHmniv1vyYL74RLBZRq2t4e14IQbVVTI3TIej0xvTG8iumXxAR38TpXk7PiDhCZPvRX6Ayv+WUaxk+h4mwD4TVo/BkLF8y5GpWidF3qmaoPp/q3Jk+VfedReWZQ9OuFzm8Z/o2h04r3scUGrY+Kq+XZu5Cvh8vV3PvfSvmt5wdrfkPMXorHzytfAag/xDAd7p7c8wG4A2Jpljjm9bifXI9vx8LbijkVATwFgMzrEX+EqRjE/E3Qa8+/Qr6y6Iifg/82AAMGi8Osx41EW3eIiw3gDfQm8i/4KCPgG+cX8QPRCazBfZcWnhlqEa7ou9IdsCTDexgYbUOZvfRo4B34BP2ia/eApbaZt+aHnuqhZhgM/ZQjHYJOzpCOwr1rYjvkB5qA2LNj4fiuJjvdbTNrWdlLeK/G9zt63x25ZpuH/dtKeV06/0UIkVIbmWroI8sb8DPLeANA6lQhoU8CNhzYPq63DQSuBsvtiEB9GkRvR4gzYWUZ+XupZsc/HsFgR25JzFBB3yc7b3+t8BfAEZ58BQBb4EJur0Ma7DjoF+KXz4HJCXFXzGLfbwnNhfLfWmCcZzht0E/diCODBufFD2uz5RnTYMkyrA5ONAzZi4cN9k+Nh4WRBX5PprzttNkPs7271peOOgfAnh/TD+35QdA3ydlI6ybkcr6hBoKK+CLUrMCf1gC6OVSy7BUK701AJXpg1/flsddC/povU9LYPodDBcHPBuAh8xBH0hEe5gUFlOFhIJ+RkA+6/Mb6OawnBMMCvxePwnf7iHAV0GiyLbSAT+rRFMyjJlwfXnSJbjpTLR3V10U7/d4mK5F28c64HD2wBuLyHebfjwqgp+w3Bvv1qCPjcQ651Hru39ftt9qMq6XFwz6x8T6KyJ9gcYqb/tiYHxjou9YPnUV2lBrun0DfAN8aBggEGEhD7n2bTHWz1dAXwYZECKGpFbzQQf6yPZ0bE+dSzXYM1Q+bJleli8R4NABvjjwY+PYxB276FKN/rhIvyjoZ62Vs643VnqLR1jkfXNJeFIMj7NvrfcO/tIw/T4c742UW63lCT21JYwhjca4Av0202f9n5Xrje0Hcr2W2VWG2hRE0Ldpsz4W279Q0L8n4Otcp9rftWelDvD9PDJ97AamQHamz2FKDoJwbB4yS3JjXd8AQNvZzdg+ahUrpl+QqNiLgd5Y35ejkr5j12jBxvJmEhMRHwf9XBz4c0HFBHmBao0M79tITwoUAzwO+kXVh6lonrxeh9dpXFAnpIO+hCePOn3U50tg+i3Qy75odLN0mCJ+DyvAO5NbEzGqOmDLWR12Ra0ZUdDPeGy/wd167PfA92NiicG4rfber1/btlVeKOj78hDI+20R7LptszfM0C1fMa2bD9r6xRrT96Dv+46G45Y0MwywDGoz0+UK+hSkgASHo4v3EfAV9BYGP2UoLfBdmDfUwp5jIwz38BERv7TifQV+EcDPxX33zXcM6yoJVAt+YPq5wGygz5IGe1hEpC9Bj0/K9CMjOwV9xvvNxybrmvVeZBtRCQrWHTfWFAN8Jo4CZHlvPL+uA14AnmtD5IA3pjfwDwr9XAFu17fmphfyBazR1Bi99S3HJ73W+0P+RYJ+i+WfcnxXCWt/1wEXS+04BXbd14O+scpRgT8Mqib2oF860KdwmUJJmWXIzIP0sDOAL3qLHvSNeB8YsAG94Jx0McDrBvp1gJkd+w7spQH+ZSnxcAV7CUyv60OCrWD6wP4lgL4yfRawg3+2MUNeZIpsPywC+kV/AwN9ZPxtfd5ddpmdAj8GKRsohMdT7S8Pln4k4zZ8z6Zv8xyY3gE/4l14rS/gUAV6O94hfp3t+7g8Wbre9eb9oP8CQd+Xx1je1q+J92EZcGNdAP7Kid67o3SqwO9Br9t7419QB5bhwjDAnERK3gXQ1xD4MO2PNLnhTKSHAPgJmBYoE2Kem6ADvxQHvQG+5U2xcy9RvLdpCtPF5HKzwm39VJ1t3PT5apxzG8VukcagAt8kmoIG2gqrLowK/Oiys3j7vuMNGNNrjp6uvrgzTSaLcnTRPzeAd0iPQeVwhre/CPZc55bTwI17DnGZHPgt1/dsT9MgfAjbvyDQbzH8Q4C/JubHyQxMBnLC9gj+IWx7APQ2jUOnz2+BPgBfrXHzMDMq2Ofko7ga6Kv4b48cmT7o3Ekl9ySmeJgiyKc6L0z6DmK3F5E5JplqE04ttY2IoM8OeBtuthStW5E5vZTEiuln/VTywgLwRcG+ZFk2/d4Atse8D2Ng+62edTsWBZ78Yuaoi/xqjN52jWldamMAvuUaitAW2Ms94pbYNETgt4OIbrN95Hz/jtYs+XoKW1u273+Bx6D/QkD/mEifuiOui5exv5kz/pZpXQHfMH2/Ho8foITAlHHXivfDAoNR8RboCyUVpmGpQzzNeotZgT7rtOi2u4MCPDvQQZk+SrSTgV2mEpaBuh7NWmvgl+BIDyy/zwp4U8RzMLvr8RZWF36bkjqd3nzwCODzAvMsy3MHfNGPBw6V6YfA9ALyzMCEJb6e67vIL+ZR987DMNR61IfcxCU7suXuQc/2hmWL5VM3DbWRiGk3ne2jeG/iu33FbUF+G/rvVobHD7mVW7mVL6m8EKbfKin8b7e1yy2ru7ZkBpyguwMN0zfsPq5ZH7ptox+PGfUi0+s5FnjfMT0ps6SFSQ16s75CZfjA8hYQtzsgVu0ZOOgrmGgfpjIZy0fR3pj+QmHPyL4yfEwOGbcBZDO1m3g/6mSd+1P0tckd4hRzcRjTDx78JiK9GiPTLEw/LXLLrOL9joE5iPdF2f1C5p6ZkUuIuzM7hTy/J8Qe8V71g75vNO05v1txk9lAK4w7r0OUBSLLt9xvfejteBfvoy7fB+uY5LG25bdL8pzvo9e/ANBfF+1b2G+BPJ7dgr80n7EDMYkaVtqL9LEBsOPrcd05yYCvov0K9Enbn4JH2WSmNDWjuO4STEm1VBPzkWl/pLqyql2uB7yK+CWI9yXo9LJ8wV1dHn/m7incMh19bFP0UChyR1XKc1DSLXYtqfaZWmPeXOQUub4AnUlskHmBSxbgL1kAcWAka/WcgHsmdhXosTe9afYi/BOWxYY/qh0/44lBqe/ed5yNte/an+01gf+6eO/JSaMLz7PqR93dzHMpPM82yLfCdN5F3H8BoF+XXoN/eI83ANGAlyrLD80xheS6ec/0WYFsyyBALoNG0HTSQAX+CIN1SNFzVl3mqJa5kjJTWhrQ7xCwT7o+IZV5Scr2psfDGvA6L9OkrO7VXt7ZuS9VptsCvlSbacmuiE9BkiELcvezmtyDY79oo6Cgt09eUFNBAD1Z3idPkC+wXKQROKvNcMfImcJbbbR27BiZ2TEriKcKfIs/kM9Q9PMUnUZ2ZPYqOXgPwxikK+d4A1CITjKrc1HTp9awOLbQ9rId3w64cU2v791zbPzvrfjvXj4x6LcgvC3CbzN6/En6aeiWXbwvBCAPG2BPo7N23gB87ubDXtivAf3Qgr5zus9pYTLQ48C35WiK2/U5Ijqws4eyg6JsX5jIld0hB9CX+h3cdh3TbskXyuQlu59tUNeBWeAWBXxR0JfW3xb7LRXEzrcUFwzsMnmCeYLJpgLsj0zLCNk4WQBmoTbO4As7FvbMNTTnEEB/ILNn5MDInoEDg4LfGwq7JngD4F1tWuaPiqOtW9hPO+8n6jtE4G+L+OvovPb/VrEnisc83By8GKbfZnCZu/iTunXb/xDw4/AGYFFahYFiIDfgM15h+jHEzoaphOX9Tq5j55iIvzVsiwJ/UlCOycNhDfgTcCE0CD3o9cBi015E5TI74E08zlxCiElSCcArdp8jpgG9OdWLmtqX2b0FWV2CcmNQ6cUEHXvvUnwCbzfmWabLAmXYwd0dpCPkA5QDpRwBWPKBJe8h76pf0/vZZfYsHEjV5HFQ0B/IHFk4MHJg0GOGmi/QwC/fyD0Z9i1aXnU49bUxSgE9y0fJYA38vua6/d499zRP0Yv46/2Pl08I+tQtXYf9lv7eM38UwrYma3NLXdekiSUA3gx1Bn6QSmbMvwwaQK/TYstJga+gj5kum181O+jJZA2xm1gq2C9I/IsB/lIU+AZ0ZEfpgJ91W55nZfoduTL9ECbzVLc9wk3blC+qtLxkkbuTMntWwI8aGbQo6LPEBqSUGfUTRQ3HXPrG9HN2492UgeEAuzvYvRLQpwMgwJcfbS/LeQd5D/OOeRmZp8RpgrQUDiwV9EcKRwX8kYEjI3eIYVCClaUBiHkE9wE+pvJYl5pWIvJa19autKp9vQ3A9ruI718+uu5irY6KRmTw93XXwQti+rb0bO5ifNs2RiE/ivPrRsCZ3oc3Thb0UQbKMrqun0YPl0ujA3zo5nnwqBrrNQNe6zdZvtq0oYL+nrG0bD8i4K/zIsIEKLPrgQ3gJ12fpRmx6LHMoL5uNaxR6rwHv3wjgUPJ2Xvi5FlAnhTwaYLlLA+UL6Q0s9d2bx+Ab9U0F+9wYyG5U8EBv38Fh29gPAjwhwPiogBxW+iL5hEWnaYE00C5JM4XOJ/lBvdZQH9H4o6BO2YmBiYG7roG0NW+CDcTlS0WYW3l34oIiexuNdKZPor48ju0Vvu+kXDfPWxDvRXiH1MDvDwL6FNKfxD4HcBfLqX8Te90bvh/7Yj4c/iW1Cy3n65neAM6ENaL2nIt2ivnwPQE0NcON2GyXjMxlM58cLvdNtPjLO8TwMIlXSrwdwjI64Q4AEx7YHTgF13OozcAyzyTmVhCcEscryWTWZDOpAu5gj+Ksg3oi7J8moGLivMXscIBqcwcd7AbJbR2TDSdDgOJyvMsatwbdzAeBfSHV3C8E3fF7ijbB+XuwSPvKKN/7ympHlTgDJzlBvMpM5/gPIvENJEqw0epp9QwXXDTnLOuMP1CCc2ki9+9Etmajbd0+ijit4D3e3ppQdwDvLffPwXsVp6L6f93wD+NjFP/5LIN9ZblW+GoFZcI+6Jm1QpTDnyANg7N0imNdb40wIfm54zgt1jaMQB+ZypBksrbp92yMZcr4NWcXRYyCxcWxuLMblPs2AfCpNW2qFMelQh3sFS2l+dp020I0Bd2zHXZq7Y+kDxfyR4Uv6geX8TkPjBXF98OCdzbDQ74Qd85hze2gD9ZT3DcK9Mf4XAHR50fDPwK+vGAJAncuR3FXJiXoqDPcNJG9H6B+8x8n/n+bWEqpX4DkWFc0rOUXH2EHSbt6Ndp38SYuM3J0zK+NyPbtdRHvO/B79d3vb137T3FYHetPAvoSyl/QkesfXK5xu2pWW7lgL5d9K39p1vbVaP13sX9cQV6Ab7q+kANymmGWFWFddBavoqrRRqB49FrglWYmAyuyVqxuJhvIM/dXH/fPno4Dwp6nZYdLPPCoi6vWZl+pjCTWVjI7Bs7v1RruYElh6guuiJsn5jVdWYef3lfAX2RGB5a/0D7lkFUTWr8ZK/ejz3sD3B3FIPe8Sh9jEHAv9tT03Bb3r4Z0RPOGc4L3Ks34R54W+BNgf3C6c3CMkWutmE8xYMPaCCPhP+OVfOWp3fQh9BjfHQhS8VxjfFptnv+/bi81umjG++6Nt8JUXXbQ03BR9Pprw9VvSXgt5Bu28C+RYz7W5OKg99b9HU3E8u9Jvq9hXAsGpyT5xBvj4nsNjda08kc77UhwDvHV/FZK09SMAHVHVYWLkXF/BgIp8C32HWKWPTrMHTBtmgq76xiPqAGLJjICvqZRX0HF0qN45u1qixV3FfQq4IgPm/5UuJMkG9kLjP7ys5VAo0Zb3Ll8RNLKSwWelg0zmG3g8MBXh3g1VGAj37D/V77O+gdMh5AdM5wmuFe7/I2wV2BwwL7AruF6YeF709ZAWRdZcTrD5ZoZGTHjoVEqWa+qIqZktQyvfXMi6J+VDIJtTHW0ozr+VE59es7ZzxNxH9abp2PBvofb6jqW7mVW3mX8iKs9z3Xr7V2+9+L8nHLOla6ZXu33q/ZXizdg7rxbMw0UNF4XgttLdPTMT3B+b7z3FBxKqGvbHGmz2Xhkpc2P4exvEuWHIvKDcnni7L+MsI8wqyJ4+c8KZuLeW9iZGHUWABnehMk5FM506ey1NCeHWJLl0neV3LwebSbSVqFpKp3lADQ75q5n9QeUpKI7eMODjtxARxGOCpPHpJMO/2uNuStjbY7ZThP8DYw/asCR40eHAukmYWZNyf/hXfsa8bggy5nCjPm3xFznxvwXFkxCSB1DO+iuyuXXnvjMVHHj667bUG91eu12tQ9vvaU8uIi8vr9Lr73sI9HOOC3I6DdMJeiL57YVcPF+4GhWr4tqnqeB0qfH64HfWM2SOE2e1qrfYhwA1/WbBJTPjEspQbD1f70hsosPu+xiCusVkfFwJwU+Hr8VDJTmZjIXBDX1cxQQZ9Tcgtc/VnU7rDMsIg2bsNFHhg4kjjqr3AgacjroF/P7Caeb3/sGvGZhXPOEslrwLdEgrtB9Je9nnEEDmrh3GX9Cay1KyLC7/FG4vXBxfvdLO+WMjAx54m3l8KOkT0TB/XuTywsFKbawcGK6dmtIc8B3w4kutbrTadf10izHPS+J6/XMUv+0yPuHivP5bL754C/DfirU0p/AfiVUsofeNK54b8sRV4nLK//ZJ/1dHaG7xMXeTcLcM2z703eAn/U4xcFSGJgXhK5H5PaKmB84PirWxtzPOAMPzu7QwV7nZbMZTkL4JcAeBMMFPT77Mu177oy/jwI24N6tZbClGfV4xMXYElJjGm7UWtosN5blgsW9qNgbZcL+2wsPwTQW5irm8LMpGdj6O3CLwDK9Fw4TUnM+kW/o32znYIZFNQFDll/slDhLQCghgvLryYRgkltARf5cXKGeeI8T9znxIE9d1ishPVPXJuFnX1LWG4HEDXT54ZM2FSJNXn15unoEowwjwa9NeDfpRl4Luv9f/tDr5Ga5a1PQ7csn9ONI57koGX8sQIfPa8HvQPfhnj2/GzCXd58TDmxXALC25YJPUmnEn5prYAR8NZhpWgcu8WnLgtlWbgsswxqaZpAbCM0YI4lAD8LfmpCDq1xU4FL0jlisFsGlFHVajgkB30pVfLYLXLIIYukvFtgN2cNaZXjj6QK+l01jklrt6hkEZneAPKWwulS5MGWTI3THcxfqay6y7BftDudbk9yJQf9EkCv33OZYL7ANws1cnJe4HLm9Gbhjj0XZe4FuDAHWcWdd61k6Q3AoOxvLDxsAD+CPhrxovjfGvIiBtrsfmsR36FewnmPGfM+aRhu6tb7tdSt9U45wrIBfStjWWR6y5K6ZnupqFn1+pE2sMVzpyTJF3nptKum1SqxSQ/rg7inykwNmAeNdgs91xZh+2XOnOdcc+JFE4ClmRpmdZ3P3hjURLb6TNOgSbSSehMN8HtzOULt/gtYX/lhESztshrBL7CbVMpeMjFeTth+ZK/92QZVmzJDzU3bg/4VCz+UifmStTN99G6oUQP0IVD2N1VEvSGlyPcysUjeWEF/EdBfLrA/w6sJfgKcJubTicuyqx4L6amwr1Z8V/XMMdczr7xJUr3f/B0GfGP5tp5Gtk8b8yjBlrD9KZF2T+f6F2DIa8G/bgoe/jjep/nhPw/CiOOct4GvrYivLjsF/ciA98VOpALTuXTf2Rzp4GG3YZkCd6MD3pjeYsqXGZa99kaRwPR5PnGO+S4JAoESXNY6noOwEDNaz4N3251HKDFedpdcBQksRi6eJsBIVg8dM4xL7L9O7cxibG9dYiSZ1RboC6/J3JH54ZKl140lzTMVqI4jgDQAllF0F563BJa3zKFFOwMtE0wXOJ5l2p9gd4ZXM9ydOb85cdF3ODOz58DMgYU9uRJB9LDbj+u/dz+U1dCdsRbv3anshjz313u9j43Mlja/BvlTYf/JQJ8eWN/Wd3x7H+kUDSStcDY2y+CgHwLo46ioDnzX6R30/kOK0SZxvgSgxJeJQO+nvYaTZlW6LYxu2YmDfd7BvK/92afpQtJgOAjCwCIAzCEZRV6oSSsW/agzErG67BCr+GGEgzJ9lcSDtKKEmwz0qmIY4IdF+tyM2oNG4J1qF9ad2sYtFfWiX9v5USIBvyXxPRM/nGaxvk+TSjwjNaEp+i3NyFe9IoWawScby3egny9wvMDlDIczHE4y7e/hcGZ6c+ZcdfpXLNyRa4ziXjk7pt7oTcgmzsvvuiXau8ZnddekACeQ1prfXn9t0Luu1z+1fHKm71vPvjFwDb/967ssttp7hLrFWJl473t6xreWvQe9BJisky+Y2HW+QKkDs0EL8tyC38ZgHiPorRNJAP6k3dAuGabC5TJRLnr4XI3qDIubBEy3ryYApZl5gDIO6gYzd1gSUXkPNeGl9Sws2SPeQoLd3Uhl/zRCUpfgQGmAb3l3k4byLPWXsa8joJ9IvObAkZnz2YA/awcmXMcvO5qRhixsMRV50wp66+o7Q1bRPjL9UUF/PMPdicNrKG/fyDfFR7ExPb39He0dWu1+qG+Esn3L8n1E3hbT+7w1Ebn5LqJh7bqzEvX6hzj/BbnstjV4f/n1H0QQt4B3qNuyM/3QNA+tfu85ZFrxfocPH2GgH7RpSBTOU/BzR8A34ZsB9HuvMrUX36Im93nX9j09Z7gUposwWb6o9KrATOpkj0NJzagYD9oTZkftBnccBPQH5DnGom4te3wxepW5SN+aQaa0oLn2IV2QEXbwCu2prMbK9h4D4aAXX/jCBfiWI685c76f4HSGyyGMqKNftCzULEUmRVmYIubXDEk98gT7C+wnYfi9Mv3xBHcyHV7BnRopAdL9PRF2jUmGUn/n6Hl3U1vbT3HLkOcS6XXgR0nCGD4ub0M5imdPK58U9Kmb+1r88G0r2CcnsA8oAlgLeJ/cBTdu7E2q11sMPhXOAnoZCwUdN8abBEtxbM92moqeY8aoGLOtqDTQL9m/vkXWLIMq4ANMI0w774N6Bs7yzst5Jl9E597p21k1Gkgsylm1W95up5b6Udl9CBE2RSx1Y8INeQPkgTwvnjAoCZaGI9LRbgfR8Ge/jUB9qM9FA/oo3kucwHcc+YY9Pz1dKG/PcD5KB5o5e6BBDg8BrjoN5r4wN2gA/XJR4F8C8IXpD8fC3St4lcWVD7BbCuPlTBvnEUVyF81jPd2S7VpWl9KL9Wvgez2PKHhYr+/L07T6Ty7e9wJ+K+Zsifb+wSA2Aq3AboEi7jm2jhW2rQW96/c90ydsACSLT3fNf6k/ZkyseJoKuQrZAfzF6Fh9azut1AM0ie+nCPxRQDBBza91SaQlsWfHvr6Ddw9JVbIwQ9he2d5EehXrD0WmvRnDgvU+D+RlYdH+LfY2QwJOaos0bUCT4LXAt8ZIrPijavXyTaXX24XCHZnvOPKaN7x5c4L7o0o2WbNnItKPudwK8m5xoD8DvY07ME7im9/ZpKDfK+Dv4NVF43f0lMMFxnlmzJcgI7a5bSOIXbCnzreZvq2nXn/XYO91etfr4/4SmoA1yJ8C++GR/bdyK7fyhZVPzvRbBgnbc02fj9b7NgZvLdqb1ziK98b2Q2UgM/Q501t76EwvTDdhuWVt2KI100PmNOXA9jaZeN8x/agSwFI22H4nCvo5w0ntEsvIsXqVza+QqhFqUaUkV0PYKH3SrU/AjhDlViTwZYczvcX5zksdarsmxy3S+W25F9sjQFm8J34Kv8NOv3ypXViTXj2zKNO/YuEnHPmOPW/evIH7k/SHP6sbD1zlsS61NeGeivfVzaCGvGFyth+d6Q/7wt1eRg66O4p4v1fj6O4ky+N5QlJpLmGyUewyzsSl/uq2Fpl+7WVa6/UmGT0k3jsSSthjS+9nw/+ELrvULK8h7kf14s91630iCu0eJjLWvt8G9R1m249nCPCjCSZ2sJyRSP2JmEM9/lhmyhOQn6aZnEJIXelFfBPvNRjFfG0myl8SnArcZzgNjIqyI6N2ENnV5y/17gKphUXy14OCRTu01LxcKtbvs3dmqR329fl2I/Mo6TUtT+a0COjz3kE/k82KgI3Cbs2que6ip950+jvgjoU7Rn7CHb8xfc/lh3v4boHTAhcN/7EG0EYAycXtIzayZzGLJgL6YYLhAuMZxguHEe52rEA/Wp6OvQRM7i6ZXVmQobJ22rhbWtEYhmtWfqmnLegTMQ7f62kv0m8b81ocmCC/rdP3pPmURuCTM/1DZUuf7w150V1n5iIH+9AAHwjMH515LiOkDdCrY0iNeZmYP9189jGxpDFQYeZ0mSlpojJSNbOXAHq9Q1kkPey0SK6n06yAT4zLjjv9uY7sOVSNXt5AOrdomisWFmYmG4Z2KRqIf3ADmIW57rLE1kqHeP3wRZT2RSzjM9mTWU4SQsBehBD0m8xqvvQ4MvlVXJLadaBPTBReseMVO77lwHfs+Q9/9hZ+koXtTwri86hhhUkjE4vHHSf/ZSroq3tBcvcdBomJOu4c+K8OAvqk7zDsvBvCOFuGQRue2qw8cXAMBzl1uU2Q0ZPT9b/WYA0tmHv2/xAjHrxg0G+J/b3Rw7b1vvrI+AZyS/hg7iQH/liBY2wfu+JaPyqBko85cQlKgLTgZjwTAbtUKFw4ny2hpFnzi4vz4K4nC6e7TAr6Bc6FcRm5Y8ed9gg7cqhdQQftymIN06DNU2aqPcbmaXG1Ie2ofXUHNeDVpPvheUoW6WDYMXNhWqTD2uUicQnD0UEvyTlifplo0jPXnYdCG+gla62A/jUjv8grfuPNzyg/FHi7wL3e4DzCZfABeRe0QbIIIgtWsFF6JZffmLL0yh3ES3mn4K+Mn0XzAXF07Gu8kgM9JEyvqpzVTzdfgiXNdpZfi/fRd79tzIuGvFjPn9eC/yJcdtvbe9H+4dav/6g2gJMB3sR7H+1kbPT9oQO+3cE53KAcA3Wc6aUqZz0nY73Xs3ZonS4G/AD6CjIVzi3l9MUAnxlmS+F84A7JJHPkyJFDZfqk2uaiHgXh3pHZ0mXZSBJTQsfNUbE4abCLOqzteUblsKyNAwtzXiT79UXc6ccA+vMIlyWm3fJe5ibqE5henkA67Nyx544dr9jzmh2/yIG/8v09vFngXsX70wDnQXsNIe9SA4qC9T57cI6ZLI6IZ/KYNDzBgK9BiXF4A4tKjkODxB4aBlKreetBsRzwPYiv2aXa41qVtwe51/gI6mhjeFp5cUz/cEPQ6/wR8O3ct/tYbeCR9pJf1TqDONdHBw046EsFvbjtvB9ZdN4Y6BfVqyUEZeHEki/kaaYmvIsvOhjzWxSeReIlBfxOwSFMf1e5/sCoTG/GRgN9YawDQF5KksCeS5Judq9GJY6kH6lIhGAEfcoSHqxSyLJkLsfCcBbTwNskma1AROLzIkNqiCJjY7iZcTQ2kXLrvYL+gPR2E7YXMf+v/PyvwA8LvLWcd6MA/5U+/14bKPPTa3DOoBGC1VRRFPDI/A5l+0HYflda3Vjz7QagR2Wv99PHumG95dr62KuhPauvm4Xe1hXJLuHuu4e72T5WPjnot1icbtsWq1/b5h+8bQDimGU+mc5meXPcQ+8/RTTo5cr0O/rx0FpTWtY8dAsXZs7MnDnPF2HVEWrCCj2j6vlz0Ui8orAeOCroX1XQHzioZj+yR4KKLHDIR26f9R0mYDpTpQcZQYbg88aBD4IGi2sfdtXjMM0XBs1MPY4wagq70w5Ol4UznoXHgF8a4JsxNSbkWOr7vWbPN+z5tux5+2Yiv1GbxP0goD8lQbBFEaoUMoytdmKg32fpEnxUJ8URnZIAP+lnR19/Vxz43qi7wbYNwx2q6jdU4Lt4345hs2Z629byfCSzvla34v1D5RpxWvnkoH+sPGTYsGWf2rHZUgB4egD04pZxTX6obXf8YawxaDOnR0XAWl3rtDEzMzMxcWbinokTOS8iU84KckAMZ8i6hqAOZWDPjgNJR2lxQ94de44c2HMMoB9YsAGdzakoZaJwzpnLuYg3YE4a326ur4KEuBoCBm0AiqseucCcuRxnAf6eOtzfYS/gfU3mjKneEtAURxTy5KTSMErvvL0ms5BG7RsOfMeBfJqY3sobLG8z+R54hYJedPBhUFkiq1geQb846CPwq6ifRLCyPCY15Xg2D08fsO2CudW8OBS6fKWWjVuAW9NwnfH72n2tzn9oeZGg32L92PbRza9NQwd8Od5Nc0NwyA0aXWeAHzZ+hNZrb5H4kocmcWLgBMDIiZEzO87sONX5wFtyWdb+llZmhAw7DpIBqoJefPMQQS96fdKOQgvemTVhfnvUqrBwuV/gbRax+ZW5wHQqHeiHEQ913VUppBwL5+MijgDD8B7esnBP5kyuA0z44BIWkmuJTJJuhR0LB3Yc2atef+Bbjtzfv2G4l8svbyG/ZRv0RdQNs0WC9v+fZTrMEmp7WJTtFfhJTSyWd2NcdMrWtWbdW9ONvBADsc2h5vq88b81B30j0K/5EV7nY5NglWTN9q1G/zRJ4EWCHrbA7a+1Jd77smcxicCPgzO2LB8BjzYSHoThH7WQQ5hOqmPKXiicgROScB0Kb+uUeUPhLYl77o4F7sTHHcNYSSJB1w7wBbi/kBT2AzLurHkgjPUPVRbY6Zsl7QluwTpSxIcwc8oT53vVlX/h6NbwGt6qb5sUTTZ4JyqJzMCxkO8unO8E+ADsoKTM67LwrX4NY/sZMZY68A30NgqtpKc8aEP2iiPfcMebeeBykTeY7yHfQ7kH7iBpgzMkBX2WrgW1DcriaTjMDv69At90fc5opyE5Z5i1u/ACFkS87pzlFpwUapGD1zX8dhR627fm+V65jcBva3hp9jwN3tvlxYH+IZGmbwDi9na0kbKaBoVAZHqPqo/XiI4WF93loy94FP6EZJo763RP6UAPbxh4y4577l4Dr6EcpfdsHBi34KAvIyQVPblIRrvImyD5ffYkjcozt51Y8EWbtwoq30mGvZg4c+H8dhLL+ClL8PmsrkNrIeytbTAPlPFzcao8Qr6bON1JK1X2kvvjzWXhLZlTBX7SgTbcQyJXN9ijDZq8x1GNla858po7lrdvARhOLehR1aKCftH8Gvr0ktlHsvzsJwf+TkE/6jB86dIG8Q0zuD9nRyvkxz4a4OMhRghvjXrjYl2fHGu7ESAc35fWhLdV1s3Dutxi72/lVr6y8mIy5zz92OgZdSZu2Xqb8eX4luX7+HkT7YfmfuaDd10+YSx8wkX7t3rOW5Kx/HDi+Br238DwrWbD0pwZWV/MIkrLRB04Ny9I+FsRpjfetHewvoCSokr0ehHvi8bjW0oHD9U5ceZtHji9meCHi7rAjO3ZYHvV89Pofk6zhN0lyit5gdPdRN7D95eZnwSmvyA2iThwJFClEPneEi0hbH/gqPEIr7jjrEyfJph6pleJaCxiVLRMWqBBhlnz+U0ht5+yfn4L+QRJ2R6c9QdNA7KO6ZTID1ciRIVy3d3rSqx/rg64J7917rVa/VPMd87mUbd/eiT+ixHvH2sE1tqPlW3At17UONpoBH3CbMzubU3dZxfAy/HmsBNdnqrLnxCgayXlDQNv2I1nGX35G0jfQvpGesrOO+oo16BG9EVBb7p+kcQvnMQ0VqoCToWR5/BNGmYsXvo9C2OoFIWFmQtnjtxzz+mHE3x/hu8OMgbcJYj54Dk/SK7f75CGYZ8kVv+YxBgI8Hrgcjfx/ZuZN2TeUvgWOCO58cW/MDDUptRUjx0ynKRkoRfYHzgq6O8XqZ7n72f2r0XE5w6SDWvXifd1rJGiKQJm73MzTLKeLmIYLPf6s+lo2+kCKY9Y7h+f78LkxkgHvf1ZPbSPJ4BvxXs3MW9nxWNjPdb8HtS9Bfhp5bny3v8y8E8iX+J/W0r5X37Q9a4sRxvlls7t50R2b+Pi3cjS9pjyxsH1M98Xg3DNgGe6vADeJxh4yzic2SnY+Q6Gn8B8gLQTb9gcKmkuwuw2vrw9VjoD54lcIvCBzhPuuXxFB59Uq/e3i6A/8LYk3n5/ll57p8X768896O1jK1h3OOgtphXg9Qjf7njz04k3i1jx7ym8RprGA5b33kKho29k1CbLTXoC/DuO3AEwvf2B3RmWk4C1Ab2Cexj9e9ZBP2eREtIF6XszwfyDgD69FVuBOlyE9TWZd9LhO3xy4DvozWFrNGF10Kz3Xn98vsXw7dQakKOBLy49pM8/Xj4Y9CmlEfhngN8O/AXgT6WU/qVSyp/50Gs/+Rnq1AKdBvwG+sjw0dhiP5gVlwwKNgyjgT6y/H2djOmHdGL3DfAt5O9g+AVZThr1YUPeq7eIpSAh5BOeE7LA4VuYT5DfnliqMwyNe4sjrnvIaEK6D+8wo4+AXgasPHPiwFt2vP1+gZ/fw12S17ikkD4X78JKUnJS8/hOQX/Q0DZQ0I/wC3t+4zfu+Y6J7yicKLxCFJMdMdvREGCSAe8TOVbgC98DnE4/sHwP450ytIEejcSdXdy3+lAjjScHfrkI6MsbSPcyGegpBwX9NvC9R5KD3g1wUZw3HcngZ+vC8NeB//HKczD9bwP+XCnl3wdIKf3zwO8EHgV96ubtPvN+bp3jzN52apR9LfCtC4iJlv1HBxPDWoGq7TFnvempY72eKVW0P5G4Z1Dr/fANleXTT5Tlj8FV54Hc9sgkCx3XCFk0rDx/A/n+wlLOzAH0OcS+DVXcz8FvnHhdf94DmSMzR87c8ZYjP5TEm5/dw7d7abPOSYAPGryTnPETgqhxUNm5A/2rDN+M8F3hzU9n/ko+8Q333PEtrxAzgPVKlO/rDUCMbh+qmG8OPAn52/OK+c096bt6MRj082VhfoKEZD97sZ9MNaPz95B/gPQGRhXxy2T1QuL1IvBtwC4C2zu7D6HGhJs2667TbzM93bxVTuP+p/jhnyrgPwfofzPw58P6XwD+c/1B14eqfkppQf3wMXEysMcfpI+Ussah/QFLkAwkll1YvlS/vEwlsH0SYmJ8DXwLo4r1fKth7HupoIO66yozKeiZhMEM9GWG/XcwvYHp7YlZaWnWKPdSpQ/X8S0keAjf7KgNwMwdZ+6458gPHHjz8+/hFzJ8kyTM9aIVdBoc+LtQQW3MO0vCcdDj7wq8LvAt8JOBn//0wk8584oTR07sOGL97Ow3sAg3C43y4FzpEbHjwE7F+z13nO/vmb6XIeyLgr4gDWOxxlQvb+kKbBChPEkYcv45lO9h/AF4C7t7QKUJeEXijhb8EfieTg39wm3ts3FujHJ6MoqDWW8b8tal1+vf1zPflo9myLs2VPXjgk1kfGf3dc4SunkL/sjq7Xo8Tz5sCTYA6WZjOXMsGMeY3sGf9rmCfngNSZl+/AmcLQmlgr6REvX2xko175wF61zkWtPbey5qdZoQ1l+0U6tJIiLuD7VqmTV3T+GIGL6/Zccv8oo33PHznHjz/Qm+HaQb68mYW40Oi1obB22h6lhzCnwLzjkio8S+Bn5hx5ufLfy8nHnNiaNGJg6hw/7rII3EHhAu5u8r8AFGjgzlwPzmwvKK2tPJxPiyV+kp/qQqKSVNnTf/IKAfVLwf3kDmlSog6Ne5I3FHqlH6+qPVaHzX452R7TvHOlXCHiMbi/eU40oD9rS5bQviJsP2DcBjlBjLc4D+LwK/FNZ/i277yGWL6e3H8ECVVsfqW2hLOpjDcdZrbQpTB/x0EauyMf0rKN/A+C2UO62UB520DsXkrma9z2rVL1Ct+eksEsP8PZxPoj5cODMF0HsXl6XayL0yCsfMFO1plnhF4ifs+at4xZuf/Qy+20v/9ZNWh0uGyyj58S3UzQLtk0bFxLjXQxLMvErwkxG+u+f7n8+85sIdZw6cah8B+eYWWDToF3bGL8r4gw6dAQp67ij3Fy4/wG5PJb68iARVxu57mng/iy6ffw4Yy7+BXblDTI3O9DI526OifcEyJUedzC0maB3yrPlWr1y8L5XptxzKz8XhTyvPAfo/BfzWlNJfh4D97wH+O089uRest/b2bVqs0NfBfo3pXeOn+VHctCTXrmY2hcwDwFcaTSKNCtO/FtCfDtqpTad8cHBHl92SJVIvD9TxI8sEnCAfobyG80nE+zMnLlyYuDAzsdTnE+uy2YF3WK8/Ga/Fupm+IvGKgW8Y+WYZePPDPbzdw8n6r2uKmaloKhn7dKN9Qgc+BIt+Eov+dwfefl/4vlx4xVnZ/hBAL7ED+xqY68C3XnneDw8G7WtI2TO9neR742qRWfOt4+Ko33M3y3c8v4HyA4xv4PAGxnwkoyGSvNYneI2x/RbLx/5zba0zNm9F+6Ks3koGfcyeldacTJhHdEQcfEgj8cGgL6XMKaW/H/i/Ib/WHyyl/DvvcaWw3DcDa2Pd9XMNtMLwhQhk8AYgY/3kY2trmd62QT+rLj3VeRkWiqLJQM8r0evLQYG8h+UAy1GCc+a9j20B6iLXRDVLUp3UjFAnSG9Ftz//TMzr98uJM2cuFfQGfKG2hCWsENDvyAr6otlq4DWJbxj4jh3T6cTl7VlSc0EdXIOpaDdWHOh0Yj6INHBInp7muyN8O/HD9/Mm6EESfng2APkVLMg5Mr4cbax/ZDlPLG/0UXIAfbCRmO/e0nvlH0Sc37+FIUsn3sI3yvQGemP5O9Ce/pIC1bP+RPHbWN5AXzRZWal/1s3L1MQ4JtLat+SGurZWPyYFvA/4n0WnL6X8KvCr730+vaXeRO7to+P8Icb3kcac6aMYFnWpViQziz0K9oVc01/ZpFlxguiuxmaGO2H7006HpNuLj76Zj9RRZWeU6TVKL/egfwXLDyI9ANx/f8JgL2zvz+XZACyJFtWyvwtsf0fitYL+fhKf9fle4gDKqcC5CPBNFR/Ax5czdOmnj6684yDuu28ypzeZN3nijjN7zdCPPp1kHJA+ggM20FVuGL/U6mkuswO57JlOE+NIzYvJRB38BqgJdcZZ1CPeCuATr8gKeGf5KN6LWF8alhdbQwSr1bZcAe8KoThPI+hjvVtHj0TAuwRqZZvlHyuPHXuLvb+VW/nKyicMw13z+9b+Xusv4b8f1/7RzM1aamdGY0vf+trxFoEHaEKMdpp9ruK7MT5AUjF+GoTRp51OyvTTTseoHOwOkl46Mr3F4hvTD3ewU6Z/+/2Jt6rZn5k0BaYzvfF77E4sTJ+DJV+Y/htGvtE08UkDVc6nmXwu4pjYq+4+qLsuJe0eGH6DatFPcvzdIH7715k3P0wcubDnHDT4hCXq3mtkgZkbJe1IqWFH8puNeOD/gekyMWmPX00iIEGD+kjJAnb0++3OqbI8fEPidZ1orPfO8mIFaXMpxZrntc1E+6jjO8v7O2z1/WwZP5bS3c+3by+/S3kxsfexRJiXZmtc2/ocUUjv/0y3SviPZdqkgz4TM91bIyGip4F+UcDbQLN5R7XQA3DUHI6DGMGnAPyLgn/aiVcMtAtP0WQ2Uby/oxqVh1fSYADMu8yb+cR91ewN+BJ17xqogV4gtMP65btB7xtGvi0Dac5o7A+c4HxayHcXz4mfkH9p0BbJHIO6z+Lz90jf1tc7eDVxfrvwNl84IENfgJtOFxYOWIdbA728yZmZSX+DuYJHFJTCxOVy8Upi2ptVCVONzrCbR75RgA9qyRDAR2s9JNXlUV3e02Nan/lYz1y0t5piVOFZGsw24eK9BefmBvB97W3X7Vy6fR9SXgDoBeL2ImtThvnO3UUSAR9t+a1eviUBRKYfFMimU6LNgP98frwB3v8WshjjRp8sh3rZa6Bu0lyUo04GepsM9KkDfQ46/SvgtdgIRiWl/Ap++P7MWy7cazKui7Lkwqi6ZayobdSeW/IHXjHwmpFpytV2WTTK+HReKMeLMz2DROWRNPGGGv4sq+5QNGJPQf96hreZ+zcTB87VRTdow7uwY8ZH4rNw4UklmLPGBZ81CFly8MHMCMPRLXelm5uxMWUkj9AdM8c6XzgiY9G/oijoS7XaG+B3lbG9Zrb1yGuCM7wPi+GZ8sCA7sB/aIq1v7dcxX3vW14A6B8v2yLNFvCvwd18pP0+Y/fU/BQxhtrONr5vpsHHncyje7Rms4MhoD8nCXY7a9BbZf4Ieiypxuj+vLskIvarQn6dya81Z9xdZvj+whsu3HPhxKQmvUkt4tZ91YqFImftnONsf6egv0xTHWUrT5DPMp3Ps1jnDfRZAVUGB72xfsquBuwGef7jwuV+5pQv7PU3kGZDnHaSWSfVZsBAf2HiVEE/412OEjlpfqz96A1SCpLHgohLAwr6AxeOyJhAPhRYmy7FjHOeBXGnTB/7B0YyMMA7TWTaJGzumovra/F+G/D98ocyvJVPBvpWU3/KkWsup661wIct4LfbjeWN6U3zd1tsbNFFa4t97eqkoC8q+YLEtphKbCNMX5KD/jLogC3aSOQhQdGeOIwCqCVJnvo7JMz1VYZvhIrzNzM//AcTb8rEWyZONUZPhGMBfQx6FW+EVWfrlSfZdxJ3jNzNAnKAVwssFwf+tJs0Km+QBmkY/BlBWV/FhJpWG3XhAceZ0z3qdRceTaYiqaY/6K+yMCvoL5xU3/D3y1xIMv7UfpAYgv0o3RaTSh/Um2DDf0/zjh0Hzpo92AY1G7pgG+9lYVEPPm6hd591q1LMwRRzBkTQG9Nb7c1heojpt9bptj20/aHy4pg+mu9akb4PXvCP3wv5PeMbUwN1OX7U3nPfOg9d2LcKYd1vIvgzHhxymiUb1Sl7l21LKnFWXX8agEE//6DuoUFBnwcPeDngoFem59sJfjLyw88uvGXmnpkTE6+Yuajvewzv4ePfSKYMA76YxgZJvLlo/31EOp/mAPx9YRknYBCwDRJSWkFvCTZL0ja6yAc9jJqCdmE6Zc6ab3qH5RrcNTaIovaS2VJ7BdCfmDlT5P6HQa+90+AhfZ7sAKboM+WBnHdc8p5R5SDLf9dnsjcwLphmn2u409CB3i1ALua7YzcMxFOvvRbtczfv63dbx9flfZn/BYF+S6tv9X3b1mo4W+L6tikvHu0Cr0eBg3vt4weP/ew8S16SFPVZpjoYDNJF3VLMn7NknTbQXxIsaYB0aEGfdqIjjBr6uh9CphpkDKZXWoW+2cF3Iz/92YW/ilmTawvwY1JsE10LNv6NvbUPACKDTgjoL9q1djrLII/zRXLJzTtYBotpHTwW30BWe+UVJB42VOt90XzUhfPFgoXExiBJPyyNp0lVswr4UwD9hTMLeVfgOPrAdIe9fK/B0g2pqFXFfVNDRqaTx/TbUGBxUBMPvrbeFpHpYzye1T2jD7f3uOq3NBEdYEN/2fBfdqYZBLd1errtD+n48fjHyicG/baQ32518d4s7RCZvmf1qIfHj9oyvQE+5ioHj7mKYlNMoemgHyrgL4sY3ooy5WlQttf8k2dl/UuBUqynykFCyUAAn5TpizKX5X/aowkpA+hfz/DtSPkm8dM39/wC33HPzGu1evegF3HaqpuxfR/wOrCf1WZwhuM3MqTefFHQjzAza8O0qBXfdGg1SiyjAl87FhR9h90C+4VZW5ULMwMzaGfgUX+DXAFjoJdgoRMzy1jCmFR7OO51xMmgFtVGaHDQM2hDNHI5exos6+fnvoTI9BJ72Ybn2NUc9NZE9J6dOL6Rgd4aAG8Y7EyXRHt2j/W2x8eHlBfC9NfBv2XEWOs+1wx4a/G+lQRMtL8+1EAJQLdk2ZLhdZQwz1kYcpkFLKADshwU+Ar+SwYJ3TvKnD3S+wbE0aw9uSyhe/V7o4OyZWF7gFeT+MF/YeD7Nxd+4MJ3KuYfN0BfkDHunMMypjyJI0wH+VTQT9oHfb/T/HIqfMxkyLM0SEPsMUTrdzQ3RNHvuNPwuFF+g3lJTIxYJxYTsg00E7OCXhq5ZSzi+381wKudsvyoD7gXiakEph+DNII1TiOljJwvlvZKVILWpeZM770ZsnXfrzZ5f2lrItyzY5w/h2YAoI/ntOG9l3rOQ2poL69+WPnkoO9fIoXtvmxifivI27418Hsx3js4ttbWNvs4FSa+xY01gwqlo7qaRuYyME25MuKkoD8Z6CcB/WVJGnh/RHrcHDSax0CvHcJRF4D1ZBuSUnHx4VpAOsO8kmw1l/3Mz6cT/xG+rSL+AdT4ZCwmJrKkVS0r8A30Nrz3qILEoCmi9wcBfRU8gHlZBMTD7L9QVqafRhF9FhX3FyQt0KAX1Rssi0hKBnfLo5OVHc1Pny2W524UF+AxidSzL9oYasM4aqO5RNCrZbUG5Qvb5zJymoy73cMRVUNrGoXt2+HLIuhdZXLuXirslwpooBH5rZlY6i/RTl6v29re2696tdXf5eGm4ZODvi9rLT6K81t5clqDnf94JtqvxfuCifd0oGcF+jgkho16lxX4C3um6czlDJcTXDR45jTA6Sigv0wJpjtJnbMctedNAD5IdM8QxFSrqEOSerkrkunxoKg8jsp6I3xz5vufTvycM685cMesXVtaT31WeaUwV16ybyJv66AfZ2nA9q8lg6wlnZQRrrL0ZDFrPgjoF3xk3DiOvE2WuwpvcJcKem+YbPS/PBZp3EDAvps18GfQ0SyKTgH41kpYAsLI9lWZkd/yNA20jXs02hZ1KNq4hdQEJT5SUmsnKR2UYxgXbMd1unxQwi/S1tO1xcqedl2eKgUMjx9yK7dyK19S+aRMf02TN23UWTy666IQH8X5tTEvttyuK7WTM71zvJRo4BnDdVonzZIXLmfxQ1/0a94nEe8vd8ryxvTzUWJpje3HwPR0fnrUAj2gIa5ZxGqAwyRGrVcDfHPH25+e+J4zv8grTgyafdaZvmADW4r/wYVQ5/pEqt4HS92V7yUZpQnCY4FhgbzL3pUNRLdfijBsHUMeEfXnIpJBNsUfRA8W3jRRuuDGrzIi7sq9cte+aPf2JJ6A3aijVCrbj0UfUn+AeehE/KjbC+NnEqdpi+mNlcWOY5nxXLzPWjvME+JO3HX4luv0kfldGTALy1qn37ZT2Z5r1v6ncf0LEO+fbsFfNwB0HyaK7265N4BDFP170EML/daKujaquOFmviyc3hbOKl2eBgX85U6m6Q4uR5h02u9hPKh/Hpo0uVY5rRtrQiPdAuh36qs+Jnh9pNxdeHOa+J4zd1hiKk/xLc8voE/YiLq5A74b5tJcBPRn1TqKTrkHvUXkLSrGZxHtL6ior6rAnGGeNbbYnGMa24DG8wwioY+qms/7wnLQlN+HoMPvB43Eyz7ZkLMmt+52G6APYr6CX4Df1iOPqhMYW6Is73qT6zuYede88iXAOQIfwBvaXrR3vd5UVNiOJ2kNeS3ktwze18oLAL0Ve9y02uraTN/vnWbtOvC3DHkR9P1oov48bbz0Vmojuf58/5aTPvplBF7dwekOzgb8owB/f4DpoKDXz58035MF55QUpog4ZcqdBe8Ad0d4deLtaeYHznzHXhPG5sD0Avqx6vUWBCN+Y48QU+lmWSRf30VsjWmU21vvNXalAz3iqluM5YuEJE6LTPNCypmd2dn27gYz04B5LfMoPRMH7YkIMB1mZf7BI/F2o4B7l5GhZrUhAjWAjg76pmlvdXmrF6cpEoIPVdpH4tsA4EM9wgc1bbnbgU+9Zg/2qM+3dpZr+nzL+l5Pubq+Lp8wDLd08GqLcW1qzvEzW6ZfW+9b4EMr3vv2OKygG5VSc7e20ngDMRBDPBIXHYaJ4xHORwH72aYjHBT0O2X5FFx2Bnrzf9cU1AXJFpHdcGZW/X0Wf/Vxx5mZt1x4y6SdQgeiyy5rhR2wDEAO+hkL2dHjLYvsRQDIHo9OMsf1UALok4jvdTyQrHn2FrgsjIsa2lUSshCEIamHcpRPMWhGoUljlGKbeNlPHdOP6gbUoWbHhTru9LDoN44sn2iTgETzLZRUOF0i4wuU91jotY0o1ILephirWTo4S73r+d1ddo9b77cNeGvyeVp5QUzflkIMxzWW9a3rFjGC2cX6aNWHNdNHwFtK5nUWH7AsPEmDMm0k0xHJ1H7U3DAA50uC6bWK90efnw30+4dBTwphgEUAVUwuQZjfckLtNVDl7qxsf+LIkbF7DxFVTa+XQB3L/+OpNaVRWdQdv0wCwgLSCWekehZbE3BRpgcPU1xIU5a4HNo8mjsFvQXT1dTgB4nvGRX4gzYSaSf3nfYXPdnYfnbgD3ML+jTD3R2bILdw4QYlRX+7GLhlDjn5dlG8tyHOI+hjoHa05qP1Z83114NzWuv9to5P/wrNm1wvnxz0D2n0D+n1casB3lw/20wvJXfbDOQG+LYTBrjMMeIhrKM67WyI5QMHdhz1vPNplpTS370Wsf58UKY/yLKJ9gb6MlJDcI2ZcnJ3l/W1rb+mift6zmGEw8DpdOEtZ17Xt3BJ6lhBn7HOLuIik95rNiwnaKjxUlgmJe6ChbGLV8ySadhnKkUbKX3eaSHNWbyMaJgBQtLggN8pmw87Bb4mDR2HEF0LFjZI2cG8U+CP+u7jTmMAdq7+pEn1hUXiiTGQ93P7Ou3PPV0KpaydcS3TLxX48sVitP026KMg3wr1tr5NZq2A72Ut5D+N6z856KVsQz/u9ZdPzQe43ho6sFsDSWwozFdvfxahFUVjN+15MItnojmwMDOzU6s5wG6ZmN+M8HMkPvzVa3Hin/cido57N95BAL0an6ySLsWt3wtqAQe3QuvxatibU+a+XLjXbHQR9AuFvT63iRGL9sAX4BNGyhuYl6X285+ypsFPCvqqiAfmzAr4OYMC3t7Q+g7t9fAdCvzBxfgq+BxCQF0EvUYol11mGTViaNCT7SKW0GDYCdOnSZaPu1iJwhRA0jUAswLf6k6uoF/0kYzpbWDTlu0d+Fkv3wryvXe+N+T1mnyE9cNC/npbXz6xy25Lr/cGIOr18WUj28cGodXX44eMTL8W7U2Pzwr4oQZz2FOk2hQULE+ri2VnzjUpBcAdEz/cF/h+dKPXMMLhlYj2FkFm6aPyKDRYQa9lyWoRx0NcwXu1AXW4KTXsnc4Tb1ViqUSMVMGJouG57phaAttf9IwLEjE3z7n2LZgHdbgZwyaLRtcbZG2gpsJYJKBFcspqx7gxgH5QT1tygA+K4XRotwFVnbC28TTOlHFycSCN8j2rESAGOmnIrrF71md1RvB3oDTgX6ZCyQ7PHa6jL3iMZq/bO+hNRzOmj8CPIn1u/nu97gmtt2A9ldvb8iKY/hrPR70+GqX6Do5b+o6zee+y2wa+DzhsXVGkxnn3y6H+H/HGRiK3ZPCjOwXxhZkpL5zfKAsPciTLBL+gcmo61nvU3NejWrcSwkIleUy7RbqB9mrDDX0JOXdfuJxn7snsrEHRw2Y865slCakuR3IFvjx/4sIgbU2GOet4uaPK2dlcX3YD0eeHMnJgpx1VMnsyBzL7vLAvxfvTD55gZyAEzynQx30b8GfBdMWAP8B5vHhLMQTwgzYC+qzWYhyObieJwK8VqQT21ykV8lSYFmdlE+/HIN5f0+0JTG/L/eRCfWt92jbkrcnPy0cy5KWU/m7gfwb8jcBvK6X86x9yvba0er0DOTWfoU9fHa31vZEEWsCbTm/DV3rK4sj03u86NgD6BTQzXeLAyJ1+Tsnyllkuhfl7A0iBZYF5Ep/eKcFrjdt9PYoIutcGIulPmxGmn5P7vkFFfpUCcpbjx6J4XDjliV2IEtcmR5meCvqCdy6xQbvAQJ+YkL5wte9hVhnbvoN5yKAm5fCR3xb2Ou2Y2ZeZ3SIn7AZ1pRe1R9oVtc07KOijsFXUqZFH7c8zFKbhEsAeQF8dgnZlbUH2e7WRENhev1JcLzqZcpgy0+wiudSjpQI/VeD7SEPWwniC1Wga3DLfxVrak5lveZzbH4f+hzL9rwH/TeB/84HXwR92HXnfSgKlOcY+l0ExfqxWf5din72XBNxVJ0zvAzMIzSStPENw1GVK7ZZ6YOSon1MSVIoo98NJreIWtTYtcJ4kbO+1vsWrDHeLRNmZaXvQdzUD2VS0qx4ib0+Ld+8riwN/n7mcL5zql3PQ7/TtXGZyPpIgOtljy85h2vu+OOgTPgqtjdxugz1Lh59ZjZ1T7cG+y9L3eFyKdLzLAvpBGX9QoWVIqv3Yj66AL2ZM1GlJCzldArMHpo+At2lUl595RWwCBX3ZBL3VkmXOFcSjiuvG9B7D51kXoozZg50NwLdiey/Oe+1vWf3dxfwPAn0p5dcBUkqPHXort3IrL6R8NJ3+2lDV0Zgn662zzsX7flqL9+a2y3W5NG0rRGt+y/CtmG92epTPjN2EQSyPiljwB/YsHJXX5B7eWzpReHOCyTJoTkWY+jTB28D0x1mYfj8YJQv1lUWmefJ8VpcznC9wuXh4a1qqorxcJs4lN181E8To8C2MkyY13gGaL2BQm7TEo1XDYxn13YW9wZJwCNMfGLgjMTAxMtW++qJhqz48TxJyu6iN0ybVbFIR8b/aCZO7DDXtXe29ezKmJzB9MeZXEcHUkwLsjhpsVJTxtWY0TJ+pQVHFmR4Wsh5fiujoQyMP9UxvE5gxYR0nuvbIGy5a3b033m0x/NP4/lHQp5T+ZeA/trHr95ZS/k9PugushqpuRfYo3K/O7IDf+urj5zBNdQjLUcenbl9Pg9q0faDnIFsyVPBbVxYYkASTMhCjda+Qe4ht3wTjgcLbqXD6mRrjzgXulzDOQhbAH5LnmR+hhrqWGYmWUdBb5/3LGaaLGAiz9nIZZthLPIE1dDZ81kKrNYiXrTBnmHIJ3WE0Or760WyoXQe9KTogys++ToN27d1p6NJQ02VU0JMZ5kVc6xpIZ69q05DhqCaPnLYn67I/caEBfe20ZPYU1Q2sAuwOoWuufqUq7mcFv9pLSpjQhwPKsjDnXJOTpDCPmfBT/RX62mj0Ey1SLejXQN8S7NflMeg/CvpSyt/x2DHPW6LOLsut686s97FFTM1nc6aPn1OO76P22imOKBpddhH0o/KWVeSh2mFt7DVPSeW98HcU9qVw/wbmM5I47976x2cdKDV5ppyxiNKbLLZ1VmAD2ZLXnRX8J1nOFxgmhkMRT55iwLyARcmtFFq3+gLnGUoN89VIGXOclx0ylI8B3+wbDnpvEgcFv2ScNWuIdViR4xX0GkiXFPjJJsXW0ZwbBnSc4U1wsn6DmYvaG+QODvjA8nUq2rsnC/BBjKO2vmRd7gCPu+Bseckm0RnoPTzXXQWQOrC38mYLfkdC6fa1e7bg/RSuf5Euu4dE/NSdsW4nW/PIWrx3s8ma7dsGQIob7qwKJ62+Y21s7EnsB97Rp97wkWMzp7lw/qEwm3h/zJo1tniX0RhPPlh+VWX6MgnAy1nY/3IP80nWh1lc6dH6HQSXghDYkmu0LNMIZb+DQUfgHO+QIXs0o0/ew7KTGNkyUpZoIDO/RmrAf6CNeGhDWBdGZoZ5luGnNGrWgM/sDQBIlHFkdpvXGLiiYn4V7zdYvgc9WXOA6W9gnXassR2zs33D+C3oIZOzgd5Dc53lY8/CNdP3suraZLe1tlU+nsvu7wL+KeA3Af+XlNKfLqX8nU89/xqIr4n4srQVkde67Qx+rtO7eO86fWkagJ7xuzetkzcAKewjnG32f6nkMrCE+awXjmTuyDJii0bYXe4XLveFMi6aOVYBv9MB2YYZ0gXLPEO6ABekG9wZ5nvIJ+DCfuep4EcFfQr1PjK8JfasyTp70NuYXbMFvkh0TFksliHpF7AuR94ByVJPOvxyA/qBmTTP8mqTChfatqXFl0H6L1WQJwd7E/haTMxHGd8c+ylM9jOp+J72wTOrgB9yC/olLA/qcoDQAIg0VvJCKWbRN2tJOzwaHdB9ir1DWvG+Z/+HWP6p5UOt938E+CMfco2r126WUoCWg9z2RmYXaPrI4FHEt/NjmxvVgZ7x5XhPju3V2mBvjUHrvRcHV6l6rAH/yKIjtSx1Ak2NTdGeqIX5JBlhGXUaLjCcZQ6QzgL8QUHPiTTMHPba29QiU82DZW725LYqU19LGYTNU+gANGi23sUAP8rcImOWgZJ9yCf76v2fjT3vY8YY6Gc0nzBpmuXWs09MLeiZpNuCbTrYvLRjDyzKwiLqR5YfOowVAW3OeBryAPhoXTTAjwpyG9VndKavcwW+DbjtjL5mejYagW1wX1v37f6/3XatvAjxHvwxTW9vNfn1/naYqtR9ui3rvTF9GxbRsn3L+l6c1WP1LrUBMEYzHbdogudSRfoLmYmRIwsTg0a8yfES9150xPuklbgwL5l5kej4hQuZk77zCYYTjGcYzuwPOujLzjvwxQC1mJMDWuBrQHsL+rSH4U4TXVqY69iAPneg9+Th9p0SOw0R8tSis+49KPD3pHmW/jHG8ja37DvIfL8Xk4cBfI9I5geC210PP5ce9IHlzQ9fxXbrmTe6NXHYmMzYYH32s24bFPRF91XGj0k2wPruXWf7beD79oiClhLftXxC0G9p7uAVpz9Slrw5sM/QZsmN2lELfCnrQMh1zH6vWbU/RAzZFX43kdaCVRasY1ip4a8HrBvryIRkfPVgmKQDM5Z6zFz50DPWWw51S9M15zP7O9F5d3sNX7WEPOb2gxrlW/vHaL0XA5eCuYatQu0BMyrLJ42DtXC4eSBP28Mw+28o32gk9js30Cvg2ZOYKvCZAtg70DNJr+SaCBcNTOzmoOpLmQLwB2pK7sw26LO+ZwR+dScE36J1ehoC89eUQuGYEmVHaMH+MPC3a94W4Lcg/3gz8GKY3krU6b0ZsNdLdXkdi98a8FzE9zlEQ941xl9LBi7uu8Yfs+0Y8K3Sj6FNj72rJWnF0gAa0GUq8Ofm2IWZHZZ9F+DEiQsLJWlfm1HE3+HoHjbrnAJifzPxvn7nCnoFNBH02lFlPCjgNf5VWd7S4y46rJUJ7nHoJkvKMSoXr0Hvb52meRvwAfTlIm2QhPs66Kei20oL+qUsFAN+A3ho/PHZQK/qS6L1HRqgoy8RWqYv4VhsvkDp6cOZPjXA97q1huy1LZ9Ip3+uEoHu29Yivh1r+wGc932s2TgCvQ1Kafpkri62rW4PbfcHu8+WHBFNe27oi8xnILD2PoegzQUbGguoy+6c80ZioXBh5sSpDt08sHCgyFiSo2bPGsX9bAZ3M7YDNRmP9eWxr+oyvwHfLH8mzu+pFnCLfZ2H2i/WQO8arJuu7BsMHPWIiVS73Ox12eYOfJtKBL154/Qdd7ibvTJ+8Tya5nK/5MD2NtZepgO9gXiRhq0MWt0ikJe2EYB1w2DifwW91kazAQQlMoV6tFYm20Zgu9ZfK09rCD4x6LfhvgXyuCaVNjL9Fjh9W2RuGx11K4VB3xAA3Va/Irj9ugW/PKGbFO3nHrDca67tOWjaGC4B/JmBs+rCCRt5XiLbFjJZ+5FYb9fdDpLZ30ZNdSUvXaPZkn7AZExvUxx2F71w2jtgLAxuUtDvEvnSPn/UWuP77Gu8nqHYAO+8XTrQG7vrC9eMPcMoIfS7ovJJCXE2Wll2WRoAMVbOG6BnA/SjSzMM+oEMxAH0XAN9z/SR2aHpwBNYfnu0+nWd38LB+5bh8UNu5VZu5UsqL0K874tx/Zrzoy+/1bJ7tjfRPur2AJ7ieC3e9+wP1i77n51pzj1ne89JF238ay/DoFd0preriZ0+6TjslsBKWF6CfET/FKZfhOnHlu2Hg2aT7az3WcX7ATfoeeaYqKKAMJ0yf961IXD7QUKJR52QHsPb/ctk+VC18L3eLa7bNMnAgEG0L1Y7Vby3/vS7Q8vwFkhXmV5Zfp8hl4WSp22mN7aHlumN7YnsHlmcNbPbVHIrJVRWzjR99UONfYjhr6/35ens/wmz4baCfax+66PcRQfeIPhRJYDKAd83ABCt920q4iHM7U+O961y5qKi+lKNdzaMsQvHbuGPIr/9uO7QkWeyTPQEcx4V9N6Zw8T7PdKlx9TVNFLzSVju+BRU9Gp/SwH4/WdunhVvGQ5jAHwSwO/CRA96n8xOUTQ4l6DTu0lOO/Swk85DBvoQVWsOhhpoZ21OWU8g4n2Mqp3yLB/hQdCrqF/77tr3yBsTtI1AWa+XuB1qjoS6/Zo+f02/77ddW3+8vACmf9iMtz6id6BF00j02Ue29xzwDusI761GQFh1YQhHevMw0PbM8ycF638fs+kTnspMdx59Uj3ztMB3E58NnSlH55qvzgxcEfiDqeIKevWyNUxfZabNOqMVPiUNzFHA17S2Opl3ILyRA97nElATcgJGoJtOzx7KRJmXyvLG9CWE/JvrfThQ++LXyFl9lxhCb3lFRbdXF0YDfNO5N0BfR96NgA/MXYFeAtMX3xaPN5ZPpWN8umXCNrrtH6bLW/nEOfIeM+O18C9hbwuz6267uC7nmWgdhfWe7RcsHfRQ9wxYiEkOgPcce4VSe3kVej4V2Pv4t9JwdI7owPKlY3oT8UGy0iwqiYaRmirwR41VN9DbeI6jgn6IoCdWwv6XKNT8e5bDep88s6XVnhHmJTUgX0ITZqAvAfQR+M18WirgK+gj4EO8zZAc+EMAfQyu2xUj8UwpywboAyi3QL8JfFsv3TwHUEdG1+9pjUKKjW0P/ncp79cIvACmh6exfb/mJRGdIO2fQDxV8d5ceAZ0B+HQAL5levvvgbgGfBEA3X4AqFzher09sznwjLmjI1oSVknoTlGnXYwu93MU9EPt/1IzWCUV9QlqOGhOuiDaG/DXgI+sZB+3IGPHoV1+k3f93dkNRMTv2d3lFsnMM8ZWAhshToKVK/DLRJkzZVYxnyDeK/gNh8OB2g/fgA5tnxlbzhnmMrdgzuFdc6FJy1NtAHqz+p0eAn0P9vBtqxQQvuvWt7/K7M/D8vACQP80tqeDe8+gxvfX2d50dAOsANiE9qSgShXei97DwG7C+lDPNSG4VSPkmUQyGGozYG/hDi3zXcvxE0MDfOfLXreXZ8qivw8d2wfgz8nzaBrLG9PbuJjyWBsVtKngObA7LtaHZL6MUawv4alLMx/CCZ5TWMAf2b7MF8rESqc3tbxCq1CH3Iqgt2VrEGqHuQI5R7YvXAV9CY1DQW8cgFu2QN4DPqoDBv5r4n2cP7T80LanlU8O+seKQNz+t1l2ZL/sM/BvA98Hc4ys7Hp6CktL0MZpwB5TYybE578EwFtePUuYTb2GvUnsbulMn2reGge+gb/gprEK+lQYQpBcicBXVXw3OhGPrJnenjCvDE+4Fdoq5pg8aC8C3jC8A8YiY1XSgl2UFplbph0qw7dTBX2eyHOhqMnDGoDobrdU+2lPM8AmyHIEfQyhzxaF19nZmkYg55bpK/Dtd9QTLJ55ZZwL68kaCbpjijLWQ8DfWr+27enlRYDegQ1rt1xct+O3hHvf14v5Bnw7Oo5os3RLzuQ96B0oEfQmtgvgrQbFo8BkEI8ZjBovRH2+B78Bf6yOMCqjL4Po8FlvF4dqG4dAxL1oH6bcVFJ7/sDyZVG67Bhes+/KDVARv1S2N7F+r/MLnkRjj3c+tmEh22lHmacK+jwq8AMBFxyjaehAH2xrEfSj4nPZBH1RcSK3TG8W/zq3T9QB3dY33HJetta35g+VDxfzXwToHytPZXtblt/SANkb8pz5Tdtv2d4g/xjTu5/AY9FMaPYmgbrFgG/gddCXYMhLAfzRcu/SAc6y5rJL1FRwZQP0psP3gDfZp8aOl4b2ZEoK/HGn9yzh/qV5Hm/KSgd8acJ2+kXGRwCf2VHyTNFgeutHcA301Z/fgX6I4A8NQM5QSnYx3ypZRsWJ0okUUaeIFW+L5Z8C+C3Rfqt8OMC3ygsEfc/uT2N7AZ99Thf2I/jlPNHuU2D0pVlzaQBazjawQwRxZPkI+hiYI2sDLt6nChFwAXgi2rytk8qAZGWp4n3Q3+u4E1o/zb1uILd36MFuUsvK+ly3qRpStLEZRvUSlOotcB+ZLo/C9q0u7yPrOOgLcWCRtgGwAaFHyqyNYlRjegyqNM64zfQV/GF5KLCYuy5I6zWPmOXajixfJXf9wFEsN3a/ah+h3bYJ+B9frLfyYkDfCvfb+x9ie28G+vx5LsD69Z3nne1TYPmlXt0bAW96Iss7QAxSfsRYz5CqXGojEb3ZQAB8CT56D29R673VNzPYKciHQEr2Hf1ptsFe95t7qQTQG9DjPCant3nVH0oD+p7xDfQm3g8U9qHZtEiKCPzMSMkK+lmZPrjaG9Ab8K2Ediy60Ac9blCCFv0+VLBK2snB31jwWZN10ZWrYv1j84eWecL2dy8vBvRWttl9zfalOQO8ubiu34MZ8nKFvMPc2H8JAHfAm/ywBvxQ5zGvHuGoQfe6h18GPfS0D27uKkE4dtedsa0+kwFe56T2KxRoBpVNpQV7Ctukwpr+bqAP+rwBnxwsgAH4hPUxdiN2wO8C8Gm+VAyUHhrg23CRAGVZWPWbiSJ+RnrGWivXgb4Bfzcv9Z2TM38U7au7IBrz6PDdsf4mu9Od3G/rl3nC9vcrw+OH3Mqt3MqXVF4c0z9UWuG+ZfgYnR/FfGnoS7PV2d7Y3a601Cu24n1MBhWbeFUmO6YvasQzP70Jrdavv+1IC30kXmR5Z/rcWebaB61ZcfRf8g/h9ojI+MUvk5s0z7QMXxaRq5kRp3gJFwpMb7r+UJjzmu1HnQOB16OyZAk4Iusr0+eFrI/RGNQJXrbiTG/fwA6qlv3A8kPwuAHK8oN8h2i5r1PpmL7bVhlfp/oQVl4Gy8MLBf1jIn5/LF0zYHtcALeY9163j/q6ifjU+faTXQN8BL3r9AZ672MX00cZ6C3evs+dI6DPasirlVptTIRpq96Zi7i+S2wEis+raG+po0ow4pXZQU9y0NvAc0AbBF9Y8raYb/4My5u3DyqQg96+UszBN5CXXPsTbFrwMzVTUNW4AvAj4Os8fKNSR7YZ2p/YRg8uUAfMwLaH6tDUD12OwL/aCPTLP355kaB/qES2h9a4F0vU+wu9nh+t+jliJ7B+vFaf7GAL8GvQ29HmD7eq3IPeO99Eto+JtrL3+ARP8BrVTKv8DfOEd2hA3pL1glV4axIN8D3wxxYt8WIB+HlywFueQLPLg4MezM8Ss+14/lwDvRj1MmVZg75hexNUrFHcAH7V86MEgH23HvgR8GHdSvOdS7tMnIflB8Hflx+nMfjQvPf/OPBfRxK6/nvA/6CU8tNneK4K5S229/8QBX4/s/+snhjTa4Gd3bzR5vaYcNu42+Ds49lHF12bRWaERmj1PDOWM84s9ebscrHe2D6OzNR4kwh1OrBeCd4oIyXbECX0lumDIa+K9wr4GBdbqVMvONACfzC2zw3gI+jtqcf6DjF8yRlfnk7PzlnE/Aj6Eth+CN9n8G9xFfCx3coR+DYF91wJN7RS3SUR8N0xK+B+WsDDhzP9HwN+TyllTin9PuD3AP/jD3+s7dI3BL4tQn1LBShhuU2VGcV9b176O4zNvFT5ccQy4ho7yRlbDr2orUa93pg+dreN+nyuTF8i0xPUTmO6SNjF6941V3EF/TWdvgK+B/4G00exfygsOTciftTpI6+3f95gxuy6VdfP2QebWToCD6CvagDhO1yJoYmvUI9d6eob369ZL+0xbGx/EPxP2f585UMHu/ijYfVPAv+tD3uc7vo8psv3hr21mB+PteXc/DJZr+NFxPytH8nY3cBvDchQK6oc6YkixYDnxrw48MMa9DFLXpgHNxXQpnIvodJHpl9a4mnYPgA+1YN6po8uOwN9x/RNC6KAVyuZpRuJwDeJaQiwNkUtXnEN+qGu51zksTqDnjV69X2zf6Me8JHtrUFs+8Fonavg1ydsQJ9Cqxo+SwP0uDMultWuKxt+lPKcOv3fC/wfru28NlT1Y6UH/nZD4IBv+977XisCQNOw3c8erfXbT1H0qhH8roNGnd4AH1leLAA5yAQ+EEIKLN8CX64Q+5G3TxOAbxW9Y0JsP6FS60WimF+qLAyNPs+MdG4Pwe+N8YBwoewifirk0oLe8gHMzfcUj7x7WmzPBtMziCU/eaNWzwkArmq5NY45PK4eFwEfvwf11Trg14oURf6uisS5HbMq14D9cQAPzzRUdUrp9yJy6R+6dp1+qOr3etr2ivq/TZS93rr+nFJRLJ99bADiEaVbbrnItVRzAHqsfUwFbaCPZ3gqDmP6dT5cVwyyD7wamd6epnRTwGuuz9MeE1/LQb+h0zdi/oBns4jfor9YqayflzbB2KzHR6Oojy9ka/FLtzaSaiDNZR0oF0Fv+nxQfypRdz9ltd5v/eSUcIGgv9MdyyPLdb1c2f/xAA/PMFR1Sul3Ab8D+NtL2WzaPrgYj7dsv95vYn5pmgE7wouxvengbWQd3dXl/LbP3hCWjYVcaTBXneW9d+v946D3Djneqy6OthzfJjJ4w/KKWfNEZFrxv14kgN6tXrAS7yvoI31GlAWaDHp9XsSYF/0b0IIeLEF4/MJbTUrw5Zfi72z7B9rvsuFmj7dtQE57w0YKiIwfP/7WD9Iv1/MfKh8X8PDh1vtfBv5h4L9cSnn7PI+0XbaAT9jWA7/V76MDj3C+s7RAYy3kyzUGXKxPOEOZaO+99sE5enwU9AKyIbB8O8xxbvrJb3qLDKuG0YDVyvTlcbZvDXk900fgJ4Txt6ixZ/xMLp512OwkMRzHGtQo4kfgy9W9P2NdNp29Az9sAD58q81Htl/8GutTaHSruPAou2+UnvU/cvlQnf6fBo7AH0sSEvYnSym/+4Of6h1K3xj4Fhfxrar5/pbb16zfm/UKrZuuKJs78A3kcoco2pt4H+Pvywbohd29Q46wIO5WWBOTHrIy4KkqbumyloInfyUAv0QLfmTu6MIzwIfggCg6EM5tQt9K1esN8H0PRW88170krjF9w/bRLx9dlD3g7RteafSaj4o/fotv25DWx/fLW+tP3/mjlw+13v8Nz/Ugt3Irt/JxymcVkbdm9XZv5PZ2qMtoy18b+JztjRJ6/d4Z3Fk+aTIIUwCitTnG69lyFO97po/DGvsQkPX2cU4gHmWqyvAjTszDWqd/SK+X9Ws6venzcysr5+5CJVxQdfuS18OFO+tHds9s+e3D1TvGL+37D+HxA9ObOh5D5SPDb8bRXJuvTkjtvv46Wzs+LckDnxnoYRv4vvYw8P14OcJACb0pL9MC3aqj93JpG4AW9B6603a8fRj0OYBeg1cSsc1p3ncFepPEAz7nDfG+cW+tUNWJ99VQEA14emyOxq14wQ74FdJt9qJlBXoz9LUiPu1VG+BjBj175K7DTQU+/uh2QB+lGJdbkF9ZtveupW8ANtD9AgAPnyHovdgXXFv0bdnn7d4U/m8D349vR6W1JqedZGx6u2bovYYzffA0VytAG6yyAfwNwNcXNJyZTt9hlNTq9Asd29MRM1AaEEe2D5bECnpz3RH0+yg66DQUcm79G31fhj4mD1quj9F6q8ag+CPRMX19FdPnk5+zCXCubH8I+HX7I4h+IYCHzxT0Lc/329v/vTnPwLsNfBEyY1ae3jXo/eXihIJfioA+bRjxHPzRs58a0NvV5OZb7wkt4IlMbyJtcvG+B7yxfazg4qYq3cUj8KPMDJKKt2P6Hvgd07shz79mD/oo4rffnfBlOhE/7O/PIc6vAVyXS7etMeb1xz+07Sn7PmH5LEEPkefbJuAh4Mt+5//oyDOBPrI+zVWE0anVsgV8gCoKmcr4a8BHm79dvQk/aQHfOh4aFESGN7DbPIr3S1n760u8FjgqSi8+RODbcaUL+eumCn776g5kawBinoMI+sjt/oiR+WMD0AK/metP3cTWxPMfaQQ2l68d/y77PnH5bEFvJcJ7a48teyPhGj9EvV+Kg9/PiGK/gz9WUQ/GAQe7g38Nelu2O7TifWD6B8T7BvSJGtNj2Lwq3uO4NOCnBgWFtdsOGvGe4p0BGgthJz7oVEoU7wmAd2tJ1Ovjr7Zl1PPG17fXz2ONgIn13TFbxzbf9l3Wt8oLBjx8AaCHNfDjUmR529Jr/NHgZ7/Ytu0+Bv4ktd175Uvh/pHpLUCnB33vt266mQSmjypyvYEBPlGzftQcGHqYpd2MgK9szxqjXlkNxNlvUvQG9cSRJjPspvhQ6guU0jJ9vGn8Dmu278EaZYDk2wLQVmDv1uM1r27YAu5jYH7hYLfyRYDey9OB3zP8Y9fN2GjzZuCLrjpvOuK9I9NnDPQtyOVabb+yCvbw0MkubHMDvt1kWVfqnunNim+43QR+nQfgV9DHfeD6fbyoPVT3oKyZ23T9+H3cB+Jv04v2D82xd4rOhe67ENqqZnu3bbXzofKZAB6+INBvwz0CX0rshRdhusX210rGWL891+wBvSxhwE+4PhvFe+iYXpEfG6rU11wDewoVufMarQx50BjyylUEhRalB328v71xtBLaAbZcxZQ16K8B3uZl47zNx6VdiNb6+jj2jeJ6X8rG6hfC7rF8MaCHx4BvxxSuAb8FfDyGjcnPHZrruEGwhGMLdJV6y4UV1Yn1vKnlJtoHN1XzLYpL341Ob/vo2B5Cj7MoRijw+369EdjxQlvig/sE6zddw9i32Dci7I0N9ya7d+9uP+VjYL+K2S+M3WP5okAPTwf+wya9nu0fZn9nqvbo2EhsgT6F6vskfb5nWjM82E1tt+6PdrbMFZ3erhfn9SKhVwu5u394oBy2bV50fYPekh8Z/hqnX3/ctapWga8HNuDvXrXZ9gUye19uee9v5Va+svLFMT1cZ3uIjX0M3IkieM8arch/XdxvxfF+2mJ6No5nYw6Natwyf2T8IJFTfHNNy9GJ9bBBzHVjceqruj1h2+An1bxVhZWo/wDLB9t7c4x94/6FSzPfeGy6UmjVng3x3j5yb8DbJPQvgOXhCwU9XId7K+pHoBs42yNSU0XLas9joG/X12IseCOwKdoHXSG1GHBUh/5BtV5uifew1ue5Bnz9V0V7BXnprYewStjXGPR0nuJ26peG1mjXPkgnsm+cvT5q/R3q424d9xQgfyFgt/LFgh7WAJfSGtxkT2+Ii1Uqdef7ER2JPBn04ECnO4Z+HoDfGPTaHkKOP/s3+K5Gn2cDm/3r1YsUPyjq+FiXtiugbyg1ALh+yl5n746rr93D/KFGYLs0wsYjOv1q3xcGditfNOihB367Je5zEKfN7VEiWDNQHwcQQdxKA74eAV9WgG+WDS99+2Pz2AAo4KMIb2CvBjxapl9V7nr94iuN09vAH566v/A14G/cyAAeubs1ncal68B/dLs9Utra+YSLfiHliwc9XAM+rAEu/1P9v3UlK7HhaJuC3npvx7Qs31/pii5/5fYJ2g4DV3BohxngG0O7XfYa6OPOzUiWsKFa+cMN1hfrblPqu8TGdRt1PetvXe96KVdXHjjuCy1fBehhC662dR2534uW0eC3fcVealgveyMQrQZe6dvnCqI9fYO1UQz8oQFoQN8Bvvays1uULVDYAeFNepA3LUwnOkTmby+8Wu+Zfq3jb2/buuK77n/X476E8tWAPpYW5JHfH9LgbTka/Z52n1ipI9v79ds5BCNeXH9KCQ1AD/pmikxf/3UPHxcexG7xG8YL28ErMT/uLc03ikel5qj2Gk9m9Wc47ksrXyXo4brI3+vn/bGtGGqgvsbFbVW91gDUa0WQhxMTrFxPV18oTBHUhsUq3odtDzz2O4I/XHQT6Ndg1oP9GrCvX+tdAPy1gt3KVwt62AK+bI1C9wqYm8u94emhe6wj/FdqgUnPRRqCFRM/JmYE4rXVOF190M1t4SlL9+YrRu8eLJ6/un7fIK4byOsP9y68f/0qX2v5qkEPW6Jku8crYFodv7X88L7tarcCO11j07US1ZJf+gu0y3V3R77XxPzVQ/UX3gT1xnkro9/DDN/fyRteL48JOg+VG9jb8qGDXfyjwO9EpMa/DPyuUsr/9zke7GOXbdb3fa0Q3/r6txi7P/ux+22tA6sAHWBtbd9i/g53K9CXq4dfYWVj+vgwkcU79n/nPqp9WNTWmU+/5g3o10v6kJGoUko/KaX8XJf/AeA//ZTBLp5nLLvnL49ZydODS9vnbxnsHlzvrHpb2+i39fu7Cz8E+n4f9HjtfYAbN4nbe9DHm14V9X3jw7/BDfTvUkrp+15K+dDBLn4eVr/hM//W10X9fv9aYN8i24dU72vknLqVQsf28eRHdPuysbwF+AdPjDcq124c9f3uZpH9H75RsyVd2f9Q+awr30csH6zTp5T+MeC/D/wM+K88cNx7DVX9KcpDYqbtpzumg8Dmce9cKbeAHx/wkQteA/2DONw6efVAD7xZWW965KKbx2x9z6cceyuPl0fF+6cMVa3H/R7grpTyK4/e9IWK99fK08X+x7c/dK20dVBab7oq5nfbrqn5PfCfhtPHbtCL+7a80SBcv8mjxZuZz6oKfZJyTbz/IJ2+uVBK/wngV0spf9MTjv0sf7H3Bf8770vd4mOtxyPGgi1Qb9nbHvxRVvXnyhtt3WRz/X2rwGdZdT5J+VF0+pTSby2l/L919XcCf/ZDrvfSy1PFfjaOe+o+25AimT6kTzzuPlhtej/C7d8+6ggbX2Xrpd673ID+nOVDrfd/GPhPIS67/w/wu0spf/EJ5332v+JjrP+uxz7E9g8dfE0SWLXxG3r8kxqC1QFPkHealuqpN3jvg2/lSvnRxft3KV8C6GN57gagHvs++sJTSHdj27tVgyfe5Cn73u2gW3mH8qOI97ci5TFX39axsVx1ET6kT1y76TtY9J94ysYJjyk6T734DeifotxA/4zlaW6mh89bnftYi/LEFucavN4fk09422fV62/lucoN9D9Sed8GoD+32bjlvnvgho9h9vkgeO3mN5C/xHID/UcoH9IAbF2oPHahJ2DtR4HjDeifRbnlvb+VW/nKyo3pP3J5F0Peky70jic/Cw/fyPyzLjfQv4DyQQ3BBxrynv+kW3np5Qb6F1qegrdNK3/Y8Qyh7rfyBZYb6D/jcgP1rbxPuRnybuVWvrLyqZj+P0Bi9d+n/NV6/qcqn/L+t3vf7v3U8p+8tuOTxN5/SEkp/eullL/1a7z/7d63ez9HuYn3t3IrX1m5gf5WbuUrK58j6H//V3z/271v9/7g8tnp9LdyK7fyYeVzZPpbuZVb+YByA/2t3MpXVj5L0KeU/tGU0v8zpfSnU0p/NKX0H/+I9/7HU0p/Vu//R1JKv/gR7/13p5T+nZRSTil9FDdSSumXU0r/bkrpz6WU/icf457h3n8wpfSXU0q/9pHv+0sppT+eUvoz+r3/wY9477uU0v8jpfRv6b3/589+k1LKZzcBPwnL/wDwv/6I9/6vAjtd/n3A7/uI9/4bkUSk/wrwt36E+43Avwf89cAB+LeQocs+1vv+l4C/Bfi1j3VPve9fA/wtuvwd8P/6WO+N9Jz4Vpf3wL8G/Oef8x6fJdOXTzicVinlj5ZSZl39k8Bv+Yj3/vVSyr/7se4H/Dbgz5VS/v1SygX455FU5x+llFL+BPAbH+t+4b5/qZTyb+ry98CvA7/5I927lFJ+0NW9Ts9avz9L0IMMp5VS+vPAfxf4n36ix/h7gf/rJ7r3xyi/GfjzYf0v8JEq/0spKaW/FvibEcb9WPccU0p/GhkJ+o+VUp713i8W9Cmlfzml9Gsb0+8EKKX83lLKLwF/CPj7P+a99ZjfC8x6/49671v5OCWl9C3wh4F/qJMuf9RSSllKKf9ZRIr8bSmlR0eNepfyYrvWllL+jice+oeAXwV+5WPdO6X0u4DfAfztRZWvj3Xvj1z+IvBLYf236LYvvqSU9gjg/1Ap5V/8FM9QSvlpSumPA78MPJsx88Uy/UMlpfRbw+pHHU4rpfTLwD8M/DdKKW8/1n0/UflTwG9NKf11KaUD8PcA/9InfqYfvaSUEvAHgF8vpfwTH/nev8k8QimlV8Bv55nr92cZkfe+w2k9073/HHAE/kPd9CdLKb/7I9377wL+KeA3AT8F/nQp5e/8ke/5XwP+V4gl/w+WUv6xH/N+3b3/OeBvQ7qY/v+AXyml/IGPcN//IvB/B/5tpI4B/COllF/9CPf+zwD/LPK9B+BfKKX8L571Hp8j6G/lVm7l/ctnKd7fyq3cyvuXG+hv5Va+snID/a3cyldWbqC/lVv5ysoN9LdyK19ZuYH+Vm7lKys30N/KrXxl5f8PJsx9giAP0NwAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "star = sph_xyz([np.pi/4, np.pi/4])\n", "spin = xyz_spin([-star, star, star, star, star, star])\n", "beam = spin_beam(spin)\n", "\n", "viz_beam(beam, size=3.5, n_samples=200)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "star = sph_xyz([np.pi/4, np.pi/4])\n", "spin = xyz_spin([-star, -star, star, star, star, star])\n", "beam = spin_beam(spin)\n", "\n", "viz_beam(beam, size=3.5, n_samples=200)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "star = sph_xyz([np.pi/4, np.pi/4])\n", "spin = xyz_spin([-star, -star, -star, star, star, star])\n", "beam = spin_beam(spin)\n", "\n", "viz_beam(beam, size=3.5, n_samples=200)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looks good to me!\n", "\n", "Now let's check out $X, Y, Z$ eigenstates for different $j$ values. " ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# j = 1/2\n", "viz_beam(spin_beam(basis(2,0,'x')))\n", "viz_beam(spin_beam(basis(2,1,'x')))" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# j = 1/2\n", "viz_beam(spin_beam(basis(2,0,'y')))\n", "viz_beam(spin_beam(basis(2,1,'y')))" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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hti0/gJgBiWRwk3+gZrLQzxq8808XsdpzzSNA/QvRcvWqHYJXvQCNb2jR1HtglN5E9Wl/BmCqJDjrEan9sb5w8x4AXwbg4yGEzz7GPu/S1gCvlJ2gbpXN4DulVEU0bj4WlN636Rl4aUA/1h5ANV0kFxrI7fns2g/Ro1bXfhjs+esfF4A8aEeBHzzwmma3nlTeROpT4C269lrjDGXySr8KPUjFQz0PBLy6/iEU+HMbn3am6u8VP+fTafh6Jp/oBk/gge1YSv+vAfwzxO/UPzrbovJajkHnbaWR5j76DDqs4gML0Xsh4FOalb5y/8nl1+G7or/uAMwE/pxAnzxf6Xz4jTmzRIchgx/o7yOlN6+8Vpc+AHNKz1NSeCAF7wY0ld6/2wt0sdkyzAS4XlDz0j6U9QMW3HzNT/vyil95EqiXTxhyb0eBPoTwU+mLtSdvi4BTpe8Er+lYLk2Ade0N8Ao7nHuPkrdrTV7ppQ2+6eZLbr4eQN15nUwz2v8BKAo/ktJrW14Ae4Mz8EnxA8E/cxcdQDVOa9ITGsr+q3aHO4HqEzqqzDyhuPkGfLdrBt4zbgJ7gBm8YwqettrfW5v+VD9VvVnlxSq8yYNdZ1x7uIlUPnvf0pgGN08VAFCAX4SeJiAqPgM/EfQMvH+eXpvmA1BXcIGunefLQa/g5yGIGfjRziFl7on0cYMAgpkODgBjsID7ybTvCVCt+Tlib9T+gJ0o5N7uDfoQwrsBvBsAHvNnrbp1e+zWo/cL1mpGAg13XopHyp5iawSeuvbatq+i95Teoe3qo5Fv4gAD9RAkRRtG5Mj9ksq3lF4HzOWmCotiw71XsZ1T4G4eosLPOainrocG7ljtaaqUHi6NtspzIG8ISfFbbkjjEKrwPrjXDOqBlL8l76ct+WcD/SE3vtVq1OWlW9BPA62r3HqaMtypfNVlh2X4gRr4ndteKwAeByC7GD8bB2BPbXkF3zxPj1QWBL6/BtSUrbgKBLzEigbzmBJIoI/AREMHha/QCvRNtx4O+rksDwR6AEpXAor7zz8oQmmvA7aNDyoPQbP/3pv+CSdUBxyry+4HAHwBgE8RkY8B+LYQwvcdY993aUsVwVoFoSpuVB3lVgWt5za/adNTGqgrAm7Da95Oyo+1oymXo+3Um+DegUGAcUe9ZE7h/fP0I1KQHQ0Eg5vDAa9TBl4Pmqq5SZ8M8i8BWFF68xL+BNvsDqqjhQYBhhl5BJGWlTntdihp076neR57z6pN6SUxz/mnq/bHit7/1WPs56GspfIeammUa6k90AjcobjzmsdjZ0aado05Qw23nMvRPnMzQs8nQS9juyt8RgI97Z+fg2n+7aHwBxTmlC2Gfg6wgANF5U0+qTy/mxsowKdjN137ebbuvb4xZ0xdBwMPGEBJt35MUwF44KUcY6van5idhXu/ptw33VcL+NY6064HgQmK3sNWBK1JlR2ITdUdgF2gCiLQvoODPlD34dhw61HUHSiVU0Nvc7c3UO7xWQpnCvwU0hj+WdvtDnrwsEHfAHLQ5wMD5msb2a2YU9+iKn1azm58ugAaaMiKL40fTd17WDf/Rqq9wTN4ADsL6Fu2VBGs5R8CvtWm53TVrk/l10AfUeAeQ11+Fwj4lB5SOnu7iPfyEKxrz33x7Ekcal0DNfyq6pNE4BV+yBjb87JDHi0k6S8T/kvoqIsv4kft2qtLoWqv5efZDi4YkNQ/Kf48x0Cijg3OwJN7w0pfueyq8i4vxwRwsna20Kt5l13THnC/bk3pGZZDAT0tr+ByhcDqrWmgwL00cXMWiMuS8mQGLi7iyQWU/nh16YHara+UHkXVwfsg8PcBiE/5JB8laDUG5OqsBX1Ygb7VhhipxtFaywCPAr2CL3P8I9Utzz9s4w9nnj3JLc//hGFXe/LQH8u1bwFwyL039xzddyOlgdotzwCjBhogdedpjlMGPqWBAr1OA8itR4nUZ+hhKy4142HDRftRXPoJQIAgwz0Q/PEvgPVlWOUHatO3DqztiJnAl9JVAJQoZn64wFUC+mitzG3o9aB8ATLMnLGFdip/IpXCk4e+ZTdx7f18ydXXvAwNeYwGfJASp0qhUuwG2FreQO6mcUptdw/9BGCK891Q+uJ9jCGfN12Dij8p0f5JJwH2iPBHFz659OHCQp9d/VTd8XO/o6q8FNdGx86rezGG1CcYCuwKN9Jueexw/oHSjzGkCkGf6gNcBZDKNbl21FYgn76Lf5bQr1kL4KX1i+693lsBtosOBD676zwFVwkoyDO16efixo+zqwAU+CmmgZjWCRMg++hZ78YIaT6unj9Qfe3JKDwK6EABXvOCDCihx4syHy7iBvOO1J8bNULgA3a0UDpJVXet+fJzwumpHoAqgYWLrxWCuvoAzAirPA8WXHMzJKo3g306tcBZQ78E9lJZ4/mJ3X5N/RViIeBNmzvYybjrA6m+ClmCexwS5IOdZF/mAOpu8MTYOMamwksUHgBS+ZD/XNuWl9J2BwrsewB7ATLwsotgywUK/IjwzyPiE0EJ+qz0Q1F5ZWROxbLKq8IP5OKIDUrklxOCFD8UmFvPQ4OgV3nXH7Hi1TXozXv0Tgfwlg2Hi3Tr1u0p2ZNW+i0Kft39rCo65WfXXl191CpvlH4mgRpKXnbvJ5hXZmeV1/IDbZ+aqlnEkuKZUXjphMaRAovpfPg5+QDqJRPnyqf97yVG64vKXxR1l4vYps9qn8oM1KbHkNr16t4jpjnSySrPkUrzcAPKBfJuPbtcw1AG7+R34avyq8InlV99PdYNFP0EnIAnDX3LliqCKl9/aynrPewAeYycR01CbduLg913qWkFkV17vY8JeI7GZ+AV8tZEf5zQiefPUgswXBEX1GWt/rxCn916pICdRHceiGP59wJMOWJPwFfgA8X9p0E7A3fXwUEMC/w4lyd5ptleECCl4YDXH4Rd/KHUcDxiiV38DH/ahgcM8U3SetFGBfgJEI8zhH7NvHJzfm7ihbLSj+WoKgJWer3fXAUAUCXghGsUgpvvabimKmwTtnn+yUJjGnfl/ADkiB2Pg8mwIwEuEXYgqvxLQVRvYVW/BOQyzRP4AEpkP3XnaZt+SNDPpNT5AiHVgKk9b7osFHJ3gXRS4M2PMJS5+TEz4cgR/ByNF5gIJ1/Uyk4D8JadPfQZiABLx1I5WBUXXtb1YvN0zgovgZQb5JFKY2rc0zyAZvDn0HDTM8Q05VFzV+mcVelnW56j9aryLwV4mXh5OQDzMADhEhjSBJrkEkX5Ubrv+AX9qvTaFgpw0HPNGNJF8S6PdlfoRfKg+4mVXisBdZNIuVfH1RPcp8u5sbOFfoXvxXJGzTXTNQMAghxW7b3K6/2W72WUe57VnFVd9889UNW9PKN8dCKdY/X6qtTDlT3kywK9fqCCK4YJyaXXaShK/3IAMFwAY1J3BZ3h5za9Kj0Ien0xJj/yx65QVmpV9wGxX5JqRf0Nsls/ltrQ7EMvfqAfjlyD7OYz8OTmGwu0PbmDJwz/2UJ/yBjqfF84F7+l9rqtuve5Akj3qd63CjKXbyl4vn9dJdGCXNNlqF067RnxNdQXJT1NEXqe6wmFqVQOU6DuOCSVH+L0Ig00COMOGC+j0vs5rhDBX2jTY0hwCkwwYkAZ55tryqTyMiEPpeWAhrmgXDOOjQum27Xce5p7kPleuJE9vDvQoYdT7QUXgJuIAIGvaZTKwbv8ZnlOojY7YQKBrvd42mYYS54e29y/M8GuI/H86JldhHnel2naA9MFsE9puSrlw1RiZfvQBv5l9gwugfkK2F0hQn6VdnYFDFfI7j1H7yWNxMtK76DX9hBQgGeVV7ee3zHOFzRfIAV+sD+A+ToH2sCzq7/a976k7g8PeMueLPSe3a3ufLOsr+EJbhYC7yhyWuCAH2Ci5XqPG6BBaW5+zm5KY2klwa1ja/N75vexGR32cTDc/DLCPl0A+wtg/zJNL1L5tO08AXuC/qUALwbg5ZhUfncZN9ixqiv0r6S5rvPuvQKfuuoy+LB/ODTt/uCs7lTzco1cBe30AjL8Cjj9Cs33pJHi5yyF/ADYLc/ggeuCJwv9dc246GLzAVjY1eVXjzC4e8UrPE96r6EE5vI9OzjQA8or4bmSGC3sGfjR5mmfWkiiOqcBclNK7y+A/Q54eRGnfWJ4vkqu/T629/chjtp7kZT++Q7Y7yQW1A1CglyBn5Laz6T0+UX86t6n/nmR0ofYhJ5UXiZYz4AuLgc9KneIFZ/G4fKIPK/wecettno6Ng9bfGiaN1qHvmUr4HP7nnt3FHQuX7n2ej8NBX4ARsmFKxL1CGgCXH5iwAxhHwrogF2ed3EE7DQC0y5Bn8B/kYT4xWUsN+2B/RTd+BeIKv98BF7sAFxcFegVeHklTkOaz6T0og/dAPULNBoA5wCFpif6w0npVz0DvUgKfLr4GMr6HO10rn2GWtOHXHy204b/rKFfdfmDLZRd9oarz707QIGWy7CIZYERW97MqQnAn3kDyjKPpTfvleRKALEnbFboB4J+jNDvE8jPE/TPLyL4UwBe7oGXU4J+jCo/XeyA6ZUEOwC8AsgzYNApgT+nNv2cgnhG6enZPlV6ds8N9KrUKyrPqqtdF3kfHDFht979CK1qW5sNrPDmBnF22rwDKA5Rt27dzsTOWunXrNWWz+tc+17Le8+hJUStYbImj5V9RvE4OTqtKu/nrhsgkNJjKCqv77+fxqjyGph7npoDb1xEtd9fAC9fAC9m4DmA5wPw/BLA1RUwvwIgKT2r/Kjz5P7Pqb8+kHvPrn1WeUEe6mqe6QPi88BzKb/k2leegW7j20jexQea7lfVUKM23OZIfWuDh3UHOvRbzLn6QPH6lm6Cqunggn9AmZugsYLvmpgcaK6808Gm9bmVfBKUxx+xzOC7fvfnI/AHO+D1C+BlAJ7vI/Rv7IBwdQlMzwA8A4ZX4wbjM2D3DNi9GteNr8RKIVzF9nzQx2rT7cZddaa6TLBztB5IlcRUypsHC6jrjUcXZeAbb9QwF8+BbSL6mh8W0nrOj8CnJzvWe+/fCeB7EKvvfxVC+M5j7PeubLUtv2YN+Lnyr9Sf2+lpvZ/nmQqXFxst4F0Jvj8XJvMGaSHwpbx7QsfQax88EBX99RH4/TEG956/BN5AUvl9An58NUIOABevAfvXgOlVYH4Wp3CVpguaUq1iXnntLlweSqgTYD654Xk0wPM4Yhq8YD6O2QIfKxfykC0Af8L1wK2hF5ERwD8H8MUAPgbg50TkR0MIv3zbfZ+iCVD/mEL3nzcf+APqe8nfyH6/7l5vxZtW82g5oFQAM006ph6IXXPPBXh9AH53AN4Q4HUAePYMwKvA7jXg8jXg6rW4wfQmYH4NmBP0gVQ+989r8A7Ib8mpQkoeeB1LT9BWnsGM5UqiNZFrZC5s40fJNbNOrR/T2wnTnuwYSv8OAB8NIfw6AIjIDwL4cgBPEvqmHfqNG5UEzar0eubKfbqQl0Hn09EKIK0jxDBL7OJ/AeB1AX5fgJfjCOA14OpNwP7NwPxJwPTmtMGbgPBqmp4BSCoPasuHHQrkDCCfZXrSJ7fh9Yz2aFcQGqVXRdfyqTlgjrM2YSHvNna68B8D+rcB+A1a/hiAP+MLneqnqh/Ewsab6mC5jdQ389eqnIaLMI7A1avA1TPg6pU4XaR++our2I4frmLQTnS8/WUBPowxigggv/GDBz3wly8nlHdyAWk0UUjz2bZX9Pvbmgbser/cyluyrb/TI7N7C+Q97U9VXxfOuBxoOTTLep8dabvr+fcxFf8hpUtO/DdAMKb1AwQ7CC4x4BkGvIDgjQl4+fvPgIvL+AC+jqYDUnSQ2wlIQQIAFxIn/e4WsNG7D+7Nm6CnfmjK794GVRKwHn84MGEh7zZ2wnf4MaD/TQBvp+VPTXlP0uJvWUMe75VDytsCs7WupHW/YamRfk3XNeKtoA8Y0nyEYJcovMSAK4zYYwRwged4iWcAXr5+CVw+iw/WjJeIr7wC4vj5gfoCpTyDq036C1joG3E801NnmughTvnJHxDwboLb3k/cighEuIc0pP9alcOanTDsaseA/ucAfIaIfDoi7F8D4K8dYb93Zo2u943Whrq+XyTPA83RmJfyQhWHLq9DrJWB+D67NC/KrqAPeSqwj9hhwA4DLhKVVxgxpddeTQi4wh6vAHiOHZ6/fgVcKPiN5+Mz/En1L6W8dUO/te1G4Bbok5vP4AP2LR4G/FQRsNqD0lMoXgN/BkuBNzA7wLcq/mKZ06X/1tCHEPYi8g0A/hPiT/meEMIv3frMTspayu5htypsPQKBBZ6XbV5MD1TG5+mxXSSaItSSlgMFzgrwY1L4CHyEfsQFRkwJ+jlJs+ACr+MFrjDjCsArGPDixSXC61dF7QFguIiqr4/LMvj7BD69ATt/U9vH2OIfB/NqH6DAO4XyNQ2FXysChRworv5M2xpXf0HB+dig/KX0VvU/MTtKmz6E8H4A7z/Gvk7FSu9aG3ifDqjb5VbprTqXPLi8waRRAQ7A5Ee4heY6+F5SeUnLQwY+wj5jxA47zBgxY4eQn3e/wIBLvETABa5wiSk9PzfiCju88fwitu13KZA3Xkbw9ZHZPMhf4UeEX5XeDL0PCXoiiN18wLbxFfgMfijuv0Kvn81V8M33s6kS4IqFKwP4NN0QS4Qvgd/Kf+BKoo+979btzOysh+Gut+19xLwVxOM2OS/btjmcooPc95I/rMzLFMtrmlV+zIpeHrMb01lFdQ8YU+tdlX6XlF5V/iKVvwSww4g9LjDhAnPqgIsBvpf7HaY3LspLNDSoxy/H0MH/ebyv1N+vzO36pPYsrUaFSblZ1fduarbpQzuAt9Smd6dRNe4PqvTp+/pnDf2y1cBrSMy2w7ksu+tleXniNroHvIbdQj9S3uiAj5MQ9CEtSw7ZxZb8jAsEAj7CDgy4wgvMGLHPpSL0gisMeIEdXn++S9+8RuzCG6ldz9H83JUHcu9TBaCnrO49P2zDbWt2zRVkdvG9ez+F9jb5TZ+wQT2Uw9rKoJHeYifOfYc+GcMsLr/0dmuejcK3gnqHYA8YMBvoW7CPmN1yKT+m5SiXCnbAjoDfpbOJ6QE7BOwwJtB31J8We+Uj9BNGDJhSaK/4AZcQXKjahxH75+n2GXfp5flpEqI5q72UV+Rpn7t+j1tfYpnV3kGfYZ1rtTdt+xQE8OtNG1/hR4Fcj5GBb3kC9i4p21KhE4dd7clC7113/T22dNXVbn+rP926+63AXA1/BHsmwGP5IVUCXtnHah7Lj9VkgY/+sxh/epeQjV1xo+lAVw2Pgbk3MEEwYcCcnf+4VawaXmDAJUbs9bG83RinMX2NVsi99wP9gfwOvzgFcvEbag8Q9E69pwR6S+k1vxnEo0olELBcCfgbgstw5o3c/YetHZ4s9Nexlpq3ytiKv26/V57iitIr4AAwE/BzUvc5pUNejtF2ALl9Hl3zkpYEe0nrzxv7yyL0EXTV7ojyFQZcYm+6+MZ8VronBT/G9ge8TOfz8sUYh+kOQ4LePeASUD8PswsUfggL0KcN8gv7U940I7+wPwOeXuYHWOA9+L4CyT+aV3rKO+Taey/A5J+edegXrHgGUlUK9eAbhp9hL+k5ufMzufBzQ+mL2o8Z9JkUHQDmFJCz4KseK/ClY1zMk27RSR/TXHCFKX+NZk7lx1wtlSpF9ywGfADY7weEF0P6GuaQ3uYpyE/FZaVPF1UH2oyhfIfbvwoYs3O9FfyZ1H52Su/de6ocPPh+LID5/A/KPN8MZuHmdgIVwdlCX7vwh8tZpVfzA20YdEki5ysAXRf3POdKgdV+zOCXCiD+XENKa3BOEvDBwH5B7v1FAj8q+4BLhAx6dO1fQhCoY5z9Em2hM/g7lGG7Fxjw4uWQxtc3oFe114uk8Hno9d32JtwO5M/tVGofatUHKI+VfnZzgpt/XAO8d/9dRWB/dJqfANkrdrbQq21x7W05dt1rVx6NPA/7jKL+QHHvl6ei+LH8mNzvCPqc9DcY2NWFRwa+gK8dcBH4PXYICCgxhtn8RRpN0D4BVnsA2EOwnwXzi/T0HH91Rq8aA6ZcG+hnUns3+D6kdP4el5tU8WdWei4T6inQHGi0853rv3ZjtBdO1s4eerbWTyZQ4H2ffAt8zrcqPy9UAACoMrCwT6l/3bfp5xSJn0lz5wT6YLrgLtL5XBL4VuEDrtJDaYGUfoCHXsf4qdrbMOGACwie6xj7Ee7RWViVNEo/x8koPYMf/+Ls3vOndzz4GXoX3PMqz8C33Hu9GficcyXgpX4B9BPm/+ygX3Lr63wx+aGRjutbw2qtNzCjVnoLfWnvT9Cn3+K/OXWeabqU1753dvG5bc+DbaLqi6kMIvgxRh9McyOYv44H/EoFP1CiCPsgmPSRWv4on3kfOGx7WoNtYwJ+0BdieOgnB75ODnzAVgLq5nvF90rf6rLz+Ub9+eYJdV4r40QqgicN/RLgt9mPBd5OrJMRYlZ65OUaeq/yRfmnBP+Uxs7H8iMmDAR9cbx1Gkz0ftcEP6Sn6CZIBj/+XR76MvLfDv1R6Av4017cC2tC6X83XXAzsEtQDglS/d688APxQH5AnsFvufoMvQdflZ6DgRor0HNit94/eNMi9kYQPzz5fex9t25nZk9a6Q8Zu+uHPIJgysmi4vtlde+Li48FpS+TdfF1OQ6XiUePKu/VvujwLnfrRStazH34cWCckBei5y9J7UuIk9VeXX1+J4a6/BPiV3Bjuz6UgTfmCpHSqtJn957ejyf8VgxV+alMs1N8r/TGteeovZuABdeelpea8PlHp1//4cV81c4a+pa1fi8/sm9tAiLE1sX37j0S3NHs+1oj0h7+CLhCWF6KMbmt9ZHawQ3mgZl2CBjcy2eEW9DmOjDwQkex0JdpmgPCHu6xWWoA+X73MbXPFXhR4PVtuAl4/YZ2s22fJqAd6DMTtfGrtjtXBi3Cqfx16D6hiuAsoV9S9kP5PF9Sdc2bwTFwVvysWxic0qui8zQR4vp8vKp+XbqAH1JlgbxF8QqAMb18JhjgZzp//zwBP0fIig8w8IHUPtgBNwgwH6MINKnaD6r0/m249D4shX9eUHygDvBVCj+XdBW9T1egOTqvcXMsButOiHJnTx76La771v34/S0pPeuadecVePUEopWXNUuuDBRh+1Y7VXpJ/0tOt9/tbqEfUt6MCHwEX1Iwj2PlktV+XfFD2rsFfwQwhYCg4A8zzGenGPp5iko/0CQTIOqHoKh+oHme5lIBaJfdPFvwq759VwkATuX5V3dXgS9IaOR5C4sLD2ZPHvpD5lVc87ytgV6796ry3rW3E7v3WhEMsJVAgaw8/SfuH9xU3rQj+Qhchewx4yUkDqpBSOCDYgyh+XcBFvxSpWg/fpnvEPBSn4CTFvSujV5B79x7tMAnF1/hB2rIgwPeqz3Qdu9NW75VtcOlTwPqQ3a20N/ExQese++nmcrMKHAsAV+QtCCxmhZNLwOEGHELNw8JtuMGBuhYgjnBLgl2Vfo4B2wzpAV+fSQL/oiACXEI7zzNyc3nBoReAWqnDxMw7C30OZCnz+KmuVd8dvUBqgQ89KGktduQoQfDTq5+bsfTBcjNAJ/nC56enQX0x3LxeV9rSu8rgohaMLDX7n3gL7Y14VcTAzmqtH2ZB3L7XABMmLDHYMCPOMUKIJ4PD8RtKX2BHenc7Rv7IvgzZsw6Pt58kFJhT0o9TkBIMM/76NpnFx/k6i+5+XMBHahdftOv31BzgNLul2zVeFvtBF174EygP2RbXXy4cmvuPTvbkpRzSjjOCXBG178Y1qp5cLDZuZ6xnsOY0iOtif8mTOTSW7UvvQl+YFHt1PrzYfB5movaG+hJ5ReVfm+VXuhl94Hmpn2v7j3B3gKf1X6pTe+Vnj2BcsnLlVkbn39idtbQX9fF13URIzHgz+AKI0D7ustQXGTgi5uv7rR6AMEAxIN7/bt5QMfi/0MGXlNIqhswYY8ZQ4rai1N7Vnob0W+7+LbC8W8M4OcFZ3WlJ22jE/BGsRPEsi8TAEArgAX3PnsNFMjzvQP+cVqO5AM18Bn2hT95URYaTYETs1tBLyJfDeAfAvgsAO8IIXzwGCd1F6a/wRrMrYE6rbas5nt3vtWm95MHHDldQ94azY9q2eMeEuLRxUZeu0/DegMmzJiciz856HUcgVX8MkAXq+fP7wGK4E8TKf005aNkiBn8JvTuszZZ7ReU3vTn+wpAKwHXpvewq5JXbj+t020X7fTov63SfxjAVwL4l0c4l5Myvb39e+99xa9j1+LEiMax7B4GBV7dfQAbYW9DX/7NeT5SXtz/lDyM8vReC/z9itLP7uj1lbDAF/DjNGNG0C41E6hjxV9Q+gy8+6ZVqwsPIMgXwF9q0+u8+XgtbLnWDbGWd0J2K+hDCB8BAJEl/ezWrdup2b216U/1U9Vr7XdbrjQAyrP1oVJ3oPR3S1Z7G9iL7eviHk8N91jSYN4yap+VnqMCZe6nOTc49qif1Zek+MttenXzbbs+mLlenfrc7cPEA2ZM2o+uQ219u34gpR9U0VHKtvrrfRRf/4KmwrNbr649Sbl/sq4VvDtwlzwGOwi9iPwEgD/cWPWuEMK/23qgU/lU9TLkNjjno/hL7XzvcOueokssOXjnXXwFRa0E61oTA46c1wJdq5QZEzVN5uT0l0d3p+zmiwEf0FF6ZfSgHWNgYbd/Pb9BgN8PNKfziecf5gn2oRoK0A0paBfYvdd++sYUfCUAVG16NNrxfny9celd+13/Rv+oLbfr/SWpF07GDkIfQvii+ziRh7Ttam+X+KWZSy3uGdplV7fbuU0/QR/TKSpfgC97i9ZW+RkT9AUbIybCU3vNS0falOGX3LZfUvoS0FtW+kDnyiqv7fkB2lEJTHn0nFNvhTt32Wkgj7vsGt+oDukMuU0Pp/BYAN68AINAbq5fvBlaGSdrZ9lltwY5QwxooK6MffNl4zy4Ze/ix73aQF1R+inF+iXPeRxfSRfo83i3VF343vEpOcbaUz+DP57BL+0offQFelX6qQLego/8f+2Z2NeCTihPH8TAYlb7mZQ+u/FucI7vp/fgc7dd+nvXwdc0q/eh4J3P9Gm/eLqVwG277L4CwPcCeAuA/yAiHwohfOlRzuyebYvac7ve9srbEXAR1eLiq/qp2ltAkNP8PF5rAC8rfYkMDHmuIMeHZnU7QF9tGRL8FvwaenX3WU/rPnvW+lZzhOEv4MezmWJFNzvFNkrfgp7WhwXwAVcJkFuf06Gk9W/wrn2rmw71Ys48XcYru230/n0A3nekc7lXa0Mecy3S7f57X16XeE2BQ5La+7fhe+i1d1+B5+E8JfRXQC8dZByki6V4oO+Q9sG95/Zd/B76iaCfYcHnRgXy31gc/+Lmt6HXdDAvxJjiaLyZgNcRebmN7/roK+B1oA2pPLfnW1C3Xn5RiTlXDGgU8nbaNcBZuvdLtqT2JcS39HOGap3e+rbKsNDzcB5Joa6ypY31l959ZODLhzMK/LHkDKQPVsTysQLgb+Yx/BNhCZR2/DL4PA6QVZ+hn03aQh+XgwI7zwX4gQfgEPRCQbtqUrhTeQaeXfyc31DylsJXkfyF3/60Ga/srKFfc+lLm96X1/9rH6ClAyXEVcbd1+59UfX2GD4esc9+Ait9fEUGR8/tw68TyuMwqvi12gNt6K3S6wM5tdIHB3s5l9KmL5XAhMBvxAEr/QQz9l7X+64+H8zL5ani8aA3o/QeeP9LLixXwJ9+DXDW0LeMVT0ue62OtuQRqHGrHJDkYLce09GjKNwl5l9i/GUeS9ue/aKlgGSFt9CXh1+t2nOPOkM/g1VeHOzWvdexgGvgc4yB3f2s9hlaDzTiOn6RhpQzs8AvKX2o075brunSe7feA3/6gLfs7KFfU/vlkhq8a7X+7RZaenY5fFPZAB4/u6YufgE/bl06+eaMuVD7eaiUfgl6P5QG4L557q9nxW+799ymL114Vu2j2UZFyK55C2a0Iecn9YKtVIxbb2A/oPRVnk02f9zDmSdnZw99y7aovR2844G3bfyInzj4uU0PqkSsqx8S1GWkvkKv+yy9BQV/fS3nEvQcC2D49XzFAF/S9gnBmf5OO/5/DXwUhU95oVJrrmbgln2ZmbZtQU/XugW+UXMn91nxgRroxwF4y/p777t1OzPrSo+2i+/b7iV8p0N1Y04J7NVbWd3QTjMO5vHRZlq2r7zS0uWlGKr0yHM7Xn/EstIXlQe16dm996E3nYq+lrGAQLtNzyP0fJue/Ydg1N6puD6Ka7rk5nY6NJT+oMLrMhvnNVR+LYr/SKxDf0srmJeqw4/QAziwp0E9bnPbG7E4zvyYTXngdkiu/pD3a4HX9ryHXoG3r+lgN1/Pxr69tz2VwTm8XOL6+nd4Nx8obr1vODDAEyzEBLr4dryrVAIB3wI/A+9/SZ/n7PFwvWod+mRLYThu3bfUXuC77wDbp1/uFAXUKr6WYaVXs736/J55XS7I8mcy+B34AEMPUvnWs3H6N880bwHPSu91vlb5gAALvZ+M2guDD1qebXoJej6+add7sF0gr9mGDzR7/CoPdOiNtdx8n384qAe3ZPc4IxiFjnlaDRSVZ9hdyMkAP2B00PP3ZXX8v1f6NvQ8nLiMnG876a1BwUXX7Us97NZ8BBsazIpuwEdZ1wTenyVc/opr31T7xvwJAQ906DdYqyoo7fjyQI59zn6pKgDY1VfPQLeKI+e9m9+CPkArkBbwglrpheZL0Ov+i4fRwqpW+pbac8ceqz2qvXH0IFcCCj7gKoEZ8Ys5LfC957QAugF+AfT2T/ckrEPvrK32thNvSfnZvS8DdXhIT7EZJVwXK4AIvL74gt35GnqtVuJWh6GvgS8xgu3Qe2e93aa3Lr4HH7QFNyBCC2JVegVeOL8+K+tJrMHuq0/QsiYX8o09zlqhQ9+wbW7+UjXQqgiWVH9O//NX7TTcV7YYCCPNi5UGv4OP2/ICdu/9t3IUdgYeC9B7J3kJettLvzZCD2ZPHnRBI/CnwCvssgS9h7kFe0PRvT1h4IEO/aKxTpcc/wQev0hD3XwO9vHIPbu3VmUQQY7Ovz6Xp6/VGMC3q6Kq0NsBOQx4PKp/qz7Dj4PQW+CLp8HufT0sh2HnZeR0K+BXVwbpCEbp6YzMZ7Ad9E3XHo25HqORV9njhV2tQ38DW3LvS299Ab4GX8tKLs8oAtHVL0Npy2iA4u576EtMgSuNWumLuqNaBs1r4OupeB7sxC/9a7vfs1vXmqOkA6s8g72k9LBl83Jjvgn4p2Ed+gPGgPslzSvYReNKwIIPrN1MimmcShtfSPnj/gvsBXpWeVV+ae7ZT1r1MPRxvgR+QRV5+TD4dQOl9iGqiHs+f4Lcg98EeylN883Px1+nzOlbh36DtcD3ebaFX7v9JbRnw3xrFoHnD1OXPZS2e6DlQKWt0lvQgTb0yOuWwQ8mjSq/BbhV+uD26GEvTym09qHqHhqufQvuJdD9nG1r3uO0Dv1Ga2t8DT6gSh8IU5j8pYi+VhIKMat+/X167apTyAvwgFAaAOoXcTPsFnjk5eDSingbeqv4Lc33vkGrGqnVHm5dA36AKgDU89bDNGaOxrpDeY/X+gM33bqdmXWlv4YVZW+l6nLc2rfP31uHv22lHa7ab5W+NCDKOlb4Ur5ux8Okg8ljHeTAHigdnG4Gl2/b+PVWSwq/5q6vqT4W1Lyl6Oet8kCH/tq2Dr7eIKXNr+58O5q/HNzTtZL3w7gW2NfmxWxloHnWxedje/jL3GMLt+yht05/oP1tBX6pbPuM7DatuU9fN+/xW4f+BnZY8eMSr6278Rj5Vuyfj6dbsdKvwa/7sQoujTyv8nr2vp1f62ZoLge31uMPyuWttgO9loZLbwF+CeynCTxw+/fefzeAvwTgBYBfA/A3QwifOMJ5PSJr6XzJXwIfZou1vduegJjHnXXBLMfje1Uvub4yaCm9HsOf4ZrKg/K8yqMqXwPuA33Lal+fic3bmm4tn4dJuMXL/UTkSwD85xDCXkS+CwBCCH93w3ZP5mpLI2VzpCrnt/H6LY2c9na1stdgtxXeVwj2B1kHvsyDy7O5fu63aim/rVK2QN+a+7NeS3t7MrcmQgj1TYnbf+zix2jxAwC+6jb7e4xm3frWOtZoGKVn5S57qm+6UG3XyucmAI8aaLnwbfD5eJy/BjrneC1fqgZs2gN/m3nrL7iOuj8d4NfsmG36rwPwb5dWnuqnqo9h3pFfW7dUERR8twzd4QqizEtvQStq4OMGPNc17fM/lLYI8//taqIeuAMzX6pWrufKb1neuu5p2UH3fsunqkXkXQA+D8BXhg3thafk3rNtdfVL3vIyd7ctNQfs+uXycOtbZ9xa3q6fdRdenW5FAerqYh16W27bma7lreU/flty72/VpgcAEflaAH8LwBeGEP5g4zZP90qjDfjauvVWfw3rYcjr6sTv4xDwwHV10/snbXe/XWKtEvBHOxbsh9Y9fruTNr2IvBPAtwD481uBPwe7jruvedwOL337Fp1WzH8tClAvs3u/bS/Xy6sd+VZuXLqOkh9avomKP23g1+y20fuPArgC8Nsp6wMhhL+9YbuzueLrqt/KX3P6W3ut1Xv5mGtK3y63BfKlpfVyNbTrbv1SXlf3Jbur6P2fuM323bp1u3+7dZv+Rgc9I6UH1tU+rtmm+GupeptDSr+WV9t2PW31PbQd/OVt7kLht6x/WnYnSt9tm6218eP6eDNazEsu8vZlf9wOF1reeluX+MDyebXPdW3d9mpgLRKwfqSbwL61zHlYh/6ezAfr2mXa8OuWbL6X3wfm/Bi79vms21ZMDrfxlwHeFj5cyu+w38Q69Pds9bi6dhmkMkshNR6/X7v0LZjaEfrr2paqZEnvl3PuKhjXgW9Zh/4BbIvqa0nvwPu9tBx/5DW1xwBXYnnd9ZE5rOxl/XKJDvtdW4f+Ac32wa9VAEsuflnHOa39t8vcDo5tW2+pCo4RgOugb7UO/YlYuz1fl7JLS+38knNoH4fLb9nyuvGDY0bZO+zXtQ79iVm7Pb9culgrdNcGorXntdb4TW17X8JNjt1hv6l16E/W1trz7fLFDin2dTv21o513bU3K3m7bbqxdehP3tba8+vbWNveF7++n5uWvC2sHfZjWYf+0dih9vz1tr/Ollv3tGXtsY7S7ebW33vfrduZWVf6R2uHgni1LQ0C3p5719bV/T6sQ/8kbFsQ7zSROs2zesrWoX9ydqwg3l1YB/wUrEN/FnbzATnHPVa3U7AO/dlbh/TcrEfvu3U7M+vQd+t2Ztah79btzKxD363bmVmHvlu3M7NbQS8i/1hE/oeIfEhEfkxE/sixTqxbt253Y7f92MUnhRD+X0p/I4A/2T920a3badjSK7BvpfQKfLLX0Dt9u3U7ebv14BwR+Q4AfwPA/wXwF1bKPdlPVXfr9pjsKJ+qTuX+PoBXQgjfdvCg3b3v1u3O7c4+VZ13JPJHAbw/hPDZG8p26Lt1u2O7kza9iHwGLX45gF+5zf66det293bbNv13ishnApgB/C8AByP33bp1e1jrX63t1u2J2p249926dXt81qHv1u3MrEPfrduZWYe+W7czsw59t25nZh36bt3OzDr03bqdmXXou3U7M+vQd+t2Ztah79btzOyhPnbxfxDH6t/EPiVt/1D2kMfvx+7H3mp/bGnFg4y9v42JyAdDCJ93jsfvx+7HPoZ1975btzOzDn23bmdmjxH6d5/x8fux+7FvbY+uTd+tW7fb2WNU+m7dut3COvTdup2ZPUroH/JzWiLy3SLyK+n47xORT77HY3+1iPySiMwici/dSCLyThH5VRH5qIj8vfs4Jh37PSLycRH58D0f9+0i8pMi8svpen/TPR77FRH5WRH5hXTsbz/6QUIIj24C8EmU/kYA/+Iej/0lAHYp/V0Avusej/1ZAD4TwH8B8Hn3cLwRwK8B+OMALgH8AuKny+7r7/1zAD4XwIfv65jpuG8F8Lkp/WYA//O+/m4AAuBNKX0B4GcA/NljHuNRKn14wM9phRB+LISwT4sfAPCp93jsj4QQfvW+jgfgHQA+GkL49RDCCwA/iPiq83uxEMJPAfid+zoeHfe3Qgg/n9K/C+AjAN52T8cOIYTfS4sXaTrq/f0ooQfi57RE5DcA/HUA/+CBTuPrAPzHBzr2fdjbAPwGLX8M93Tzn4qJyKcB+BxExb2vY44i8iEAHwfw4yGEox77ZKEXkZ8QkQ83pi8HgBDCu0IIbwfwXgDfcJ/HTmXeBWCfjn+vx+52PyYibwLwwwC+2XmXd2ohhCmE8KcRvch3iMjBr0Zdxx7qgZuDFkL4oo1F3wvg/QAOfkPvWMcWka8F8GUAvjCkxtd9Hfue7TcBvJ2WPzXlPXkTkQtE4N8bQviRhziHEMInROQnAbwTwNGCmSer9Gv2kJ/TEpF3AvgWAH85hPAH93XcB7KfA/AZIvLpInIJ4GsA/OgDn9Odm4gIgO8D8JEQwj+552O/RXuEROQZgC/Gke/vRzkiT0R+GDGKnT+nFUK4FwUSkY8CuALw2ynrAyGEe/mcl4h8BYDvBfAWAJ8A8KEQwpfe8TH/IoB/ihjJf08I4Tvu8nju2D8A4AsQHzH93wC+LYTwffdw3M8H8NMAfhHxHgOAbw0hvP8ejv2nAHw/4vUeAPxQCOEfHfUYjxH6bt263dwepXvfrVu3m1uHvlu3M7MOfbduZ2Yd+m7dzsw69N26nZl16Lt1OzPr0Hfrdmb2/wEXR7nMBlZ74wAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# j = 1/2\n", "viz_beam(spin_beam(basis(2,0,'z')))\n", "viz_beam(spin_beam(basis(2,1,'z')))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So: we're getting horizontally/vertically symmetric states, diagonal/antidiagonal symmetric states, and circularly symmetric states! \n", "\n", "Of course, the convention is a little different from the one we started out with, when we were considering the relationship between a qubit and polarization. Back then, $X$ corresponded to $D/A$, $Y$ to $R/L$, and $Z$ to $H/V$. Here we have $X$ corresponding to $H/V$, $Y$ to $D/A$ and $Z$ to $R/L$. But again, it's just a convention. \n", "\n", "The point is that in this construction, $Z$ eigenstates correspond to Laguerre-Gauss modes: the circularly symmetric ones. $X$ eigenstates correspond to Hermite-Gauss modes: horizontal/vertically symmetric ones. And so, as promised the Laguerre/Hermite distinction is just a rotation away!\n", "\n", "Let's check out $j=1$:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# j = 1\n", "viz_beam(spin_beam(basis(3,0,'x')))\n", "viz_beam(spin_beam(basis(3,1,'x')))\n", "viz_beam(spin_beam(basis(3,2,'x')))" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# j = 1\n", "viz_beam(spin_beam(basis(3,0,'y')))\n", "viz_beam(spin_beam(basis(3,1,'y')))\n", "viz_beam(spin_beam(basis(3,2,'y')))" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# j = 1\n", "viz_beam(spin_beam(basis(3,0,'z')))\n", "viz_beam(spin_beam(basis(3,1,'z')))\n", "viz_beam(spin_beam(basis(3,2,'z')))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And for $j=\\frac{3}{2}$. Also, for comparison, an actual *picture*, grainy due to the quantum nature of the photons:\n", "\n", "" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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Uyb359d6SOM+T57DcyhVzOd80f82r1tgeT9BvnJMquUc+r3xZL7cpmeMQx/RbbeQ5dpDwrkl53Lue9d+iRvJrtOeBrt53dNwcuqQ/ErHkt7n48c/8hTarHpcSr4xPuaN3wJXblJ8/IMETZ3szl85tyC+dkA4525NS0to34Or31uXt0PaXGo3Vdsrr6bd17Ve6BXTSb0JNhZfTO9qOzWu+5COf0v6VarB+iWN+TDV/C26cF6/wl2L0Wne55t3z3me/e37rzPbFOZlsHunzizBHs03tz8eiF1zaD16OYuAor5McMLU/wTMD5J/+DaPf/LrQSW/QJrnXzisdZ0CW9PlFT3xT80cc5YsoBpFevm5qIvf0fjlv7tq2TmoTAzLZ2cZvWYaby8oDVQ7rr9CWb7CVb7d9wB4vVLre8iDA+eVHL/UAYd90C5VW+kQip+J2XKpm0EmPFg88e7OzzCZx5rSXDi9SN5l+fZN8GMRXv/k1EXYRzYgXDb3RBJ/SMjlYY0jFajxN+ngQsc60w0ivif9iDpd7vj76NdnSZCjNB888snI+/7b6utm+5WM6f3T1LwGd9A7q0j5W8eVtIu12vVwVkHa1jLcvZPFq1h7xAXvshDkwLNv0Kur6o7XHkF5KYk1WfoBGS/kX4QDAg4SMS+LLjevl/vr+gXIAqBP1Oj37nfQATiftc/60nCc3lry8om06gweA6MOM9gaV6uxOSNdM7OmpOibNsS/GlH3WLfKn4Dxb3ZP0eivJr0nvmwIJ2h+Qr49V/a2ktxL9NqQ80Ekfgn9sbafLRSs5LIk/Ic+Fe5APpHBJfLMN6ob0vdksxfmGnwj9gOglGv4rsL2n9DLpI01DkyR6731W8SXpsySObPm87QXpPaLLL+PIAWZqj/1Etr+GwTr5/EEAkL/sJUt4xqm+cPMuAG8E8JmU0lefoszzw5f2nqpfIz6XVBJfS31+Ao1L0ba/tb+z3TqVtJ9VdP8DF/JFGgCwJuFjSQ/nmkhPeG2xjS/xpytjbX1t98vjnD8iufX88/XxpX1J+IjkHrljwl/WQHCSb9kR0dcB+ByAH2sh/fP9lh0QqflrD7t4Yf2UnPw6rP98fMt35wFAS+3yo5X+t+y0dPe+YyeJXl/Hb80NSyj90Qs5AAD223RM2pLUTPqY5HtYqT7lr0t2u+c+6L4BksyXSPhH/ZZdSukD8xdrrwDZA69T7ZScXp+einP1ls9PkNNkU2725u/BL5EYZ2KOhqhTfu91V/4LLwEUhF97fp3btE56jtllt6Vjj8k55S/Vf3+e3jrmSpJrqa4di2tk10QuyS97612DS8XZbPrL+1R1SX5t52uaA9LJx//zI6h5hZte+46lxPKlGGNBUP8zWKWmkI+V+Uuia80EJiyvQTnFJcOeCu35JKz6HZO4dQVfrle35xA1/nrJzjgb6VNK7wDwDuC5q/cdHdeN7r1fhRyf7NSVVoBzunWCaWkP7JX6XPcBlOq37yPw06b8XlllnbI3bZJexiIVelThnLtUwX21vDQf6mo7qmHd9lZn3XXJqE76TYhuksjDrcmTVkjlvzmmDMt4bfDw86IIl+3J6TGSiXnEiqbDgDpZo7xl2Ktbp9XS6326VpzKe//jAL4ewJcA+B0Ab00pvbOS/zau7jHYsPyfWvJuf5zgtGj4xTfdiv0OWkXkvT8J6bfiakgfEKkgITnHbBrFYbWHk1bZr5VZbVMFyRGkSQjclMQeQbhhv5TbWmbUJpHm9kEdCLt9UXjUKbubgHP5tpA7JC6HB52HBp1OgyhrEBuZuDxvyHWrY6TDdhDw2r8gIFNBzNGEx3wOx9UxkUfGl/LFsaJ8kb60zRswTPspT8J4XWxIvEx00q9hjexWWs5pa1K5ILEhLxN32Jl0ACTSluM7J/9OlO9tDvmXvnj9QoPkdohrSZz2OT5yeG/icxqgz+fjxYCR4A4SlPRemf/CHSP7QjZN/M7XQP5Oeg8tarujGofSfSjDisQeISWJRRiY4py+tufy7eBgyc9tk+0u+gyf9AsJPbIbMgNT2rhv2wN6YLCDhDuomIFgIbxoJ0t57kPB6TXyq8yXhU56izXCB3Zw1RYP1PCC9DtNzoXAd5rEMs7h4a7MGw4SlvyO5mH7tMCSndOshJdk90g8p40Pc/jBxOcwoOODKEuW75J+BBJp1X+R8EkJ+uVwRH7X/g/Mg+eOTnqJAwjfZKNH6vVMrpq0Hu40oYGcJgkvN0l+zu8SP2iPp7Us8OzmQJUvpPdM4oLscjNpgCD7bgqTKJcGYBxyfGmz3cxzT2nUnFVkl0QnXB3xO+kZLSp9lN/axA2EV5Lbkj0gs0v6ez+fS3qhBbj+Att+77oI0heS3rHTLcGBkthqezGTe94AQXZu68NEdNAkyeUemOsKfjYmOwYRRib70meHyNdC/E76AJFnXqZHU2qFWi+cd9ZOBxzCS9Lfl6Tf3etju/t4EAAC9T+w771+KThTZzU73qrvQEzyvTMLsVx725Y5nN9NAMiJYE7jNi/nS7JTyXOCsPONtJe//xPMdJ8Mw3qWjo6Oa0KX9ECo2tvjrv0OccxoAYXzzsQXR5uIL5tjs+/up/xKwltp70l6U1bNocft8frIkNNzHPek/GKH7+d6HnR/CydizZcAZCeciY/zlBxfz3E+RpxfirZxKpsl+KLei3KJNQDHtg9xQSp+J72DpmWtQKECqxs22NwVcZGjzzj0pA/AteEddR/wHXyRQ8/2y52yM3PeSrVnkg/Z7pZmDl+n1alAMagM0vmWABqdayXy02zj8z78LWS9HAeayBva9xeATvqtaHHseYcdwisSVDz8hWawK9NJaAkktiW/R3jj0PMckW43xZw852fpDsr2NI8hbG+zzc3hQSyyGeZBQ01fiim41esz5uspCc/9CPmpPHnOsQsldg2d9I8AV/UHFIkUqTynoXAAehpFsbDGcx7adQDB4AJxrmxb6Mjj5Dl/GvX5UrW2Unlpv1Dr7UpFO+iQcz2ia8b5k0y3aRy/QkK3oDvynjGqN2Xyj689RFJ7AOUkEGXa9e5F1qj9lXbdKlFPiS7pTwWxvGtZ5gkR5zwyzdixvKlVY8KeVSvOouNmznzJT1lN5jiAUmJyWiRRW6bsgrbYFXNFu0W5Nj+Ca1NcM/gDmx0s1gaka0Yn/VYIcheHzFyuR97iARBkMsrVYnaxC5MV0I4y6zAba4SdsajeswPspPP0dvmtWWXH7S+W3Hpr7wXp1YM4YqBQ18xzBjqDhf29QlzpgNBJ78BKaia6l76MATa/OEfauGz/qhVklG/swsM8TMdHkZ9M3LZdtYHbOQLpbh5gdkBiR95+hfSyb1Jq1iS9IW+xIm8eAPYv9CIdGbf5kyzPbOEDN2JgSCm4NvK3dNIjjeCSzYxOeqAqvaP8CYEKPxeHBEBI8GXJKk3plvTjfnKwpHlAkMtIixvMkWCWeMM8Tw4Aw8PkuR8ffO/9SefpHdJXV+Txqjw7ELzQpFcDhBgEkiE+INphzAepERTP2Tv924QLGgQ66RmG+K6qbqQ9E51P5d99mdbi85yF4N6Ulqx7EISGJZlUpfdinv7BX6tv5/rtUmC1SGbuwOZ5+oSS9Bx+yOQHKuvunc3N7zyNx3UBum41GNmB0voBzCDgSXlXwl8Q4YFO+lUolV4SHzosx4wELCu/AMDVItK0kgzIdrWds047qNVtw0wC94k6b9WdWHsfzc27D9xsVO8jP4Qn9YFyPb6V4AXpnTX8nv3vvXSjIL3jNFz6EITlvXAN6FN2HR03hi7pJQLbvirtxWmLIJgTFo875+dNLFgB5vgs1WmPxcnGS1qHXbbHgVJdL9bUiz3gLLv1nqcPFsNMCaJfiKVk7Wk7KelrNr9rDniS3TrxjLffs+nV9Gby+7SExTGVVtwcQfozRie9hTLMRbK08VOZNYkBY1n9xbY8q87zDbcsG5U2tPCij7P6zVNy3uuy7PLbtddrVZewitVxSx9Rxl2iAIpIoWod2NyRGbBmo4dTeKio8sLx6Hnrr53sjFO99/4lAD8MYAfg36SUfmAl/2VdMkf6KweXJYtNs44xMweulqSa5bIQ4WJZbWCb1/J79XjtifoNwCe99Y6PIl6ZUgt9AZUpONdGH4P2eHuvDyKtSHeOXwIe7b33RLQD8BsA3gDgUwA+BOCvp5Q+Wjnnwi6fQLTgxaYHA0H0eq0lrxkYXFLKNfdO2E65eWvcowFItbmV9HNalWiepHUkchG2ZY9B+bZdTli12dyB1yjRH/O9968H8ImU0m8BABH9BIA3AQhJf9EIboLipmGV2CZ7PwMFeTwiivRIDV/VPJx6mx8nDrAqMStpa/GofG/9QrVdK3lvBacg/asAfFLEPwXgz9pMl/ep6iPhD7JBeqAmIGBocXxtv6XMQxGwHp5otWlr+5YyvXiUVku/fvRPVW+GT47oA5D2Q5XrH5GMv16b88lvypdhfQ6KMtq/WFvX79u/XMv7UZynv1bL+cqwLbv+tVpZvg3rNutbMP6w5QXfqgFOQfrfBvAaEX/1nHZFKG/++ldnbVqdaOVnpvPnpiHC+VPVOT5gp+J2s/m9erz2RP2eYElfklJ/XjpvU+4x3Ebsq/l1mbYerz16b7UEPmfqszc4yGtwHQPAKUj/IQCvJaIvx0T2bwfwN05Q7hOjRaL7JLGfhi4lrSQcYIldknm3pE25dyLPbtnLNC9/vGXyx/0ppaQmmf7GvL9Nc3CZ2HsnrNNs/mhwYPJPrcltoTlES1xqGvLj4ZryZZ/tPXG5A8DRpE8pPRDRdwH4L5im7N6VUvq1o1v2ZDiM7J6K7JPdSnKWxJmYlsxyP+WfwgPu3LDcAzBpui7ZpmjQyv3SKrOVrB7JM0EnMk+5LcH3GPHghgE4efcY1OCQ65rK57RhTuMBgaX5OMdI9Un3cgr55C+vySWhf6paYSvhY5J4Uj1Wv33Jrcl8t5B+Ct+ZY3dLHpk+5Y80glLtj/ozoUb6SE3fF6Qf8aDIPe0fTPq0Tfn3xTk1zSDWNLTPwBu4vDBEqo/neTtHU3Z97X1Hx42hL8NdwTYpv+6Yq9vod0IqZ6ktNwBFWm3j8qUGYG1/38dgpf2E0jGmbWjfVrfq+kPzlvPvMOJhbut+CY/zdZ7qojk/v43EQkpvVvFzSrb3SYX5PAJVpP3loJN+AZnY+hSc75HnvCT+fMJ7Nnektu9wb0h/r9JlWjlIxDZ/addbx2MJbwrO2vKRzQ54pH+xhPd4odol2yM3As1uOW7THvJRB+cVBuDnnT1/PYcz2SXJNfEBq+prz/9zRyc9gHhqKs5vCVFKelI3q+fEkzd1JqGU9CWpAYg0Sfx79xwAhV8gJv2g+tJq03sOPEn6EQ8YcCck9w4jdti7PoV89WoDMdOXkGaSp4XOWMIJbMFmCT5Akj/3LJOWlpK2EPlyiN9J76BFyuec5c0JlANASf5yHn1YpH3e7CAw5beDgpX6JelLJ5/vyc/9jPpWOsFKj/0ONJOeFjX8QZTlrQko6xiMY20iuHj31bxNhB9c0meyT3VmyW1Jqn35MtVKe51+eeik34xYK/AHi1J6RfP40cAwGHXX9/JbX8DOkN6aDo9FeprVfkIqzs1lQJTBRE4YMczl8J6vz4Adpnn2UjPI14zNDZpJKckuzYNWG/1ypPcWdNKfDNbWhxMv/QE5ZtVaO0BYzSA67psP0fF19b4kvd4smFDJkDQV7SnbLQfI0qb3rg3/ZVJL9RxBmpXgud23gD5l94wROdLy0fJ4fI6nTm/1ZbTAG/z8euL2b9GmOraiS/pHQEJSN2de7ZVMmv/wh1R9/Skyvf7cX/suvet2hVopGaU3HhiEYutL86Tyy7r9BTF6Lb08X/fR9ovz2+sRXbOcX6aXC2su1R4/BTrpN0OqhC3pfHS6KfVacI/E9YdRgEndZQJzupyzno5nm5rDdkqL/drZEZZTSg++7kc5T29X42XPfZrjecWcPG5X1ekZAK/8eHCxK+qSSY9+z0OOXS466R1YSV3PmeVlnt+djnmbJHyeGMoOsNITToLMU8ljYeOWaq+82TlcOsz2sAt0prKOmae36+31Utup/f4cvd7sYp48cETE96cU481qBHIgW8Mlawqd9ADWpDQfz4OBXLfFOaSvmsQNJJeJEHhGGUrysiSW37WS50SaBdSNHavTTMAdBuwxYIfR8dyfxnuviW/XzAMx6fdL+MUS1/n3Jqw1BF8zsFqUpxGUPSzNgjWSX84g0B15HR03hi7pA2RVXU7pSGmfpXu5dIPT2XLWUj/b05x7v6SNIhUqLFXP0gcwzI+bTltejAP4K/K8J+2yqTAg9rxrP4TXHvuEnZT2U//1k3Q1dX/K76v/udys9ufrKc0A+SffzOM7C+09YB2wl45O+gW+ih/b93qOV8cmCmfil5CrwNnVJveec2yY1VdN8AdBcrtu35LePlfvz9Nrez4mfeTI8xx6HuntY7Teo7ZTfpvXe7S2zfGnZx60qm/7WP7iEeEvayDopFdYI75v2wNa0meyS5s4ciixlS9Xok0OtoTdQvZhfsoMAPQa+vIZ+uilG/FKPPmcAGBt+/JqZLLntPJJO4/4U39L774nvbm/Zd59Ub72YWx5lt633eN4eXdcGjrpC7QQXxPcnpVUSpaY7LGfng/zVswx4SdSjrMKzo+RxiSO91x+y1tzPLL7U3YckuTPEjRy6pXq9/oeiF+v5UtySXqrzpfSfY3sOq28Ky4RnfQu5I+pPfRTik9+Kfftgxp5PfjoSla59FQuUS3tbijiWjLbd+vl8uvvxiuJ3k56LT09j7k3m1Da/zo+LqT3/AWlCeT5GJJpW2nDe/0q0/QVuHR00q/CyvSI/FbWSwnPa72Z+Hy2XHuv19PrteneIOE/qluuaYfKU5bvT8+12fTyiliCjSY8Ludo+3p9BZ8dTDxSe/P0Mtwi0WVvSlw+2Rmd9M3wbg4/pXx6K7vs1h6+8cLl6riSrNF+rcx6m2JY0us0OwggCK/vc7mtZUZtyml+HxDmuzZ00h+FrV7eLbdT+4MlbasHn/pBlfWe167bIeV1+OikPwUqfGr6dhyZNAKA5H4zXp1PvE9OWpAXZbhoz0qfMDVPR4227H1EsvrByygNQR5bl2nTpq/RBn26VhxFeiL6NgD/FMBXAXh9SukXT9GoZwuHCLUPUkZfpY3C0ddq5eelOX/xGesgDQjKcupcG5RqpKp9qdb7am3x6ekgDXDSbDgaPJwwAe4gwf28hk9Ur+FYSf8RAN8K4F+foC3PE2tE94iyQmz7KemFqJKwrd+bF9+nL75Vv3PyewNETROQfbSkdyR5RGT1vXnzDXr1TfqV79O7m6hXtWc+RlY78AaE8ufMx1QiLh5HkT6l9DEAoGO/c9zR0XE2nM2mv7hPVTdK+PBb8oEKbVVwzl+V3LscB6b4sNPpMk2eB5Tl1KS+7YMLIyHXpDtL73E/5xfxtDf7UacBOr2qGQhzII1TfwppL7Ykf7+kdpMpMB9T2oCj9VwaVklPRD8L4I86h96SUvr3rRVdzKeqgxs9JPxWG72irktyukRmEt+J9Dk83Jn8d84gYQaQpQ1SzYduuwtJIDhq/RgQVZB4fDCEfyjTx4e5fDMwDCKednoQAIx5QDPhy5foKlVfavIpcSD/noWtf8HkXyV9Sukbz9GQZ4E1wjvSXIYtaSyhCikrbO6I5JLUw/xrLQS/M5tI4+NARROwA5Bw/Hl9BlASfU7zbG1PkgOC2A+a7HJLgvQyH83HSJRJQyY+MA8GJDZ+DIKJP85SHj7ZFfHn/rnEhynkQtCn7BgtEl6mBVKd0yLJbqU6EJPcIzYw7Xf3DumdbSn/ziG9Jb/x9nv9V15xxxvvSXcpwYGS4N62fyEGRTZlHqa2pZn849zONF97Lj/RPMCQ2IQWQPMzzIbXPvHN734NxD92yu5bAPwIgFcC+E9E9OGU0jefpGVPjGjeek2NBxoJvyvV71CC32WiA3P83pA/GASW/Jb0jsQvJL0hvp0GiyS9J+GZzEBA9Bea7DQA43x99ub6jfzdjPmaj0z6uZ3jvvZpq5L4/POGxDeqvroWF4j+qWrAlfJrTrvaPHdNnfdIXyO7JLUl/e6+Tn7Or8o2xHd9DE6fFjjz4p7jziM8S+L9C5/sHN+/yOlLfpuvZg44jsHmaT6zX44hx1WauTbPCdGnqrt676A6Axkdk5JeqpWBxJeOOY6rTZL/PpMa0IS3e6v6A7ospeo7Kr5s/0GkF6r9+DA73Xbz9pD7O+60BC/WBgQo5tvnbUz5eg6Y44asi9SepThI8HSj2h6q+heATvq1G82xbSO13jr6SBJHOPfsFNlis4pt8KTzLLkjwnvEBw4j/TJ9FznynCkySXqaHWxp75TPpsQGog88OyAW3lAqN24PDXM8ZZtf/hauh14kSZuenPwuLsS276Q3OHSdUWEOWLI7xHfn6YUWIM0CbwquZvuzhgCY48JhaKfuJNGV1BewS2M5vNjz89z4Ym8LgrsDrKNSc1kDO9/uZiKP4nqIuXi13gDzPk35k7j2yfwu4Vx8Iy5V2nfSb0FFtQeg1Hsl6ec8hdS3PgAqb2LrcAP0oLA21cf5pdlQdeaZtrqkT0CaiQVo0lsv+hQQ2xxn6c3kXvZ7Qep9vj7DTmgQ9jpxfMzXX0r3JH8fs6mltlfgmW9BJ/2RaNIMIlPAhKXXXE2jSbMAmqRrGwBtOtiBQqr4YhCKbHpe2bYseDF9Ya/5YlfvkNXvMZe/qf2iPdYHIE0FdT2RCS+JX/2ZLlRyb8WwnqWjo+Oa0CX9RoSSfUO6Uvtt3GoFxicg83gS0HUUSnNDHhPaRWETW60E0J4uKRF5xdswawGDsLfHsnx3RsPRdqTErk6RBtezENrebyT7Zg9dqeTvpD8GayqjsfXtOdECIJVkbm637JWw51hUeax6bM+3dUJ4s035ixecUDrObD+8wc72Dc5xp00yfwqOJZPmgge1K0ZX768IyUrgowtsTDui/GuUpM8dXdIfAyntouOYVV6Txuly7xHKXRlmyl47zy5kkY+akjm2FM3TWUHZUfnFijav/GAwCV+DZY+b81SbnGOqrLVB5gYGoU76jUgpUDOjAaBCGjJpnN9bEqrIb5aRum+oEd71JMpYnjOXHngmt/CuL+kQezPQFOU7C2hs3UsfnWWx6hyzRLZpmay5vi2/RY3k16qFdNIfiXAQ8PJJsjuSUt38di+eF7fkqG0AikdN5QMpi32XcmRxxqHs2+riHG/dO2/O8+61NfEyfzgY2ufkIdol8zfgWklu0Um/BTVpLj29RqUlcRMy4aU0ktLQlYKWxHLJ687Jtxcr4ZAlNz9uqubSgWIZq1Tri/lto22o9ngP24iHXZbn6cUg4LU97K+nzZiNr2ehBTh5PXPJ/W2vDJ30Bq2Se8t5SRBK2tSuTbwiwYH84gh+awwNE8l5z1Nfy6Om837AlGYJP+xy3UCearNe9IJARvPwXnclX5axrNSTA0LtdVk10ntS3rSviAe/zaG4VM2gkz6S3uZ4QeoEV/1dzjGbtKHZpm5Sd/eG0BAk3xuii2mzsdInHnCI1XieU5cr/rwpO9n3Wvvta7DEBjhvznlwtAPxph01iLSYM2IAXXMqFl1zjl2bE7CT/gCoAUCSn3900jeaVOmXm5EwrV+HT5o0CIk+5jAgBoEHh+jRfLZou1zrvroMd+4P95XLKBx5QjUvJLhDeu9ZeBU379RTPgPHDHDNDSPxC7VekNSS/VKleAs66beiYtcnEV4GAXnjjVhWecm162loID6Vkj5c0w9908qb3T7kQsP8NBs5kl6Up/rPZRpHm6fer75Ew9scSd/8Ugz+Lay5ZCR8Me3o4UqJ30nvoNmuZykPaHLwzUQmzjfaiLxaDfONSVqa8bPoSUpwlvTRyjtZvwA/i84kWAi/n59eYy1CSHpvJeCaTR/Z9ZLMgH5jztrbcIA8cMhZgNEjvjU3InXeI3vLICCzX/CA0FfkdXTcGLqkB2KV3RyXGoDVBtRiG3KkTKDiA1nSL1NqIuytmec6AH8e3S6GSXc5TjsgiUdr5ZttIknvXY/aYptjXowZOf7YwSenAe2UoOdz8KbprMZSdM+z7a/EiQd00ofgH7tl9V04ABiHF9v5iyNP2M3La5zZZqVyGx3SF+1yVNqFkDtN+nHQL9GwJkNkOhSLXtbUe6GeA7Et76n5gFDr7bai3qtpUDO9563iK66ld4kviNwROukZh0p7zOcJRx6nMTkW7/0oMrBdz3mZ9HtMq2Frkla2iYNWmgkSDHc+6eX8ftV7b6s1g5m7rsCbh7eSu0HiL/nlhzEqU3iAkPCW/J6UN7b+tUt54Pj33v8ggL8C4A8B/CaAv5NS+uwJ2vX8YRx1aszgwUEcc1V8MQiMECvlJPmBNvIbqcbvlQNQqPXJvH9PvZFmrq9FvS80iaSJGJLeePRrnnzAkP0B2plnVXxun6PaF1LehNX1vGIc9d57IvomAD+XUnogorcDQErpHzac9zwva3CTtz7H7r4IY9CkCl9nZV9j5X0AQ7wn331XfpC/eBGmrC946UbNZzAFcnhZBBOp+GPsjfekvhwIovzRSj5uj7sl0daVASCcy/fwPO9mPMp771NK7xPRDwL4a8eU9+RYU/Fr+Y16vxySkn60BYgTgLxsFlBfaFnC5gYcrISfpbtU54FZuu+NlN8J1Z5QOPKAFZsegWSV6wwcaQ9oyR8NAO7HKxzCV6fsJNmtpPfUezjxNTxTwtdwSpv+OwD82+jgxX2qWsCuwFO2Pav2Fft3lfyG7DK8WADmBiVzE/Pc+/K66J0hfeC8s6/N4vZsUu+lBLVefGPfA76DzyW298UaQ3g7Xw+skD3qkukP91MdvxKsqvctn6omorcAeB2Ab00N9sKzVe8Za2o+mTSrCkv1XuwVwexad7F5n6zmdECr77XPWtc+VW3fT+d571WfZoTqsJX0gcQHYhKH3n5n8IgW6AAmLtrmSXl1tzpx1WeL530XH67er32qmojeDOCNAL6hhfBXAWsGOHFOknvXk+/ASnx+Ek6p+3MZ7rvjR0yfchak9yT8qqSH6Rf3FW2S3pP4gE/iSIoDIt0OIk5dQG6L8thvVeuv+E4+1nv/EoDvBfAXU0p/cJomPQMEtn2Lmg8YtV8Wx3lG5LfTBFjIPp9nv81GA9TTcpbwvPAGgJqe85x3rqRHGbdqbyTpXaeecbR5zr4a6d3yAtJb6R4RPnzIpkWtv+BB4Vjv/ScAvAzA785JH0wp/d2G8y7nkhnyV99sW1P7rYovvOVK5beefkHSRV03xyKPPNn83mbaJPtVnacHCvKEKr6VxB6JHWnO+e3A4XnkF+kOTfhCtUcZVn0SaUW6Ofbc8Vje+6845vyOjo7zo6/I2whPxc8H571cnGOn9JKw8WdJplR9b2yeJdWYcv7lc1HDXKYwGRYpvs/5hx20RuFJeceRt8RRSkNvdZsn7ZGytAaMpI5U9yi/3YxJsbTT2PNRu91rzcELkupb0Em/Bse+r9r2No2jTJzZS7cQH8DyhRjoutJsrxfvsOM42+YiTKMmNoDlMV3XcWfCjCZHnkizC18ixx5fg6rDbyW/KtfUW7RHXMuj1Hpz/JLRSd+CDcQHkF+gYYnP2WeSMyn5GA8IeXJelC8lVtLbmBxCe1OCZPIJ0i/thjhWuyTWIcbtt1Lf2t2oELjijXcdhZbwjk0v29oJP6GTvhWNxFfpkcRnVV+Sm4SaL6Vsgno1NSAkvZHqBelZXW+Q8E2fkDJ9L4jSIPE5b5X0Jr8dQAoHXUBy267ld0IZV/0oOlu/FpeGTvpTgm8OM5VniT9nKcNMeEl6OZCwt59vZCrJH5Hemz3w9gx3liKShsmQy0p7EeZzV1X1MddRpNmwQ+wmT/2VkbkVnfRbsCbtTb6I+CosipV7dwDgm3TQZVvyL848qa5bqd5C+EjaB+pxbdWbmlKrqenBIFElutirdm0k/C1IeaCTfjtORXyUkp7mshay16Q+wSe/JL6x0V0pDxNGrqd1nn5J81Tqivq9VV33SF/UB5Neibt9Uol+/y8dRy3OObjSS1qcE8EhhEsSSyCPUB4Bo72TJ1TZpYMukOzhOvsVm95V9T212lG/C4ffFlLXpHvQJi9e5Kv071LxKItzbhqBxAcMeTyJD31PefZ9k9QnXXYis+d1AIeQHoiJHxGnkfRrpsAa6Ys0W7dp4y0SvoZO+mPgEB8QBDf51KAgznXt+zmwDAiyLjsQOAMDE1+Gl/1chgwv7ZI4gPRLvIGw3vEmGz0qx7QvGgSKY5W+XSO6en8KBOSokahqQ0dS2J4fSO3VaTgK6mro04IDiK/ytmgAMOlO2KtbpdXautKnS0ek3g9eYkdHx/Wiq/enQEXNB4QUtSq9TM877d1ne11kUPHI1geW129ZNT86ZrHqvVeJ5lhNBW+xy1ekvVee275I+gftvwV09f6UqKjEa+qzNzcequBOvKa6L3mDctz2OW1c4Px6VZs6cLKt2udr8SjNaeOtqPQSkXrfSf8YOMDGL457tnYwIKwNDl5abQHO2hJcxmaJ35JnxQm3ar+bY2E7nXzXhk76c2OL1Df5mxbKNEj/5vI2tLVVRW51rm1W2RuddVvaeq3opH8qtEp9J3+NmJuk+cayD8ZW7/mB6voa2d3zV/JfIzrpnxIrpNqk9pvjq+r/hnPW2td0qxwybXboVFurGh/kv3b0FXlPicC7vxxOhojGje/OApRBeEW4x2R7HCK0qvRb1OdjJPca2VfbEpxzq+iS/tzYKvUr5zSp/yvltDrtWlFz7lXztUytdbJvQpf0zwUNUh8IJD/D0wCsZHXK9qpNK+3ZhC0awYESvVpmY3tuHZ30TwGjvrtZPPIH50sCeCaAPc3iZJw/wHnWOiCs1tF4fsfxH7v4fgBvwvTKh88AeHNK6X+fomE3gcggl1layC/O90hRGwgqyduxUtAxU2hdjT8djv3YxRellH5vDn83gD91dR+7OBcOsfUbzz/m3E3opH9WeKyPXfyeiH4B+qU/HCsqv73p3Tf1LAfr5xbnP8Kvdqwa3iyL+h23GUfb9ET0NgB/G8D/A/CXKvku9lPVZ0WDvQ8Edrwtw0LkO+ukTWNdm9rUyX4wTvKp6jnfPwbw8pTSW1cr7ep9Ozaq3gdNwZ1JvXdP2XpOv3Oa8egr8ojojwN4b0rpqxvy9p9uK44g5qnn4g/FUbdav2M241FeokFErxXRNwH4+DHldVSQzLbl1ORvj4WT1HdEfzvqONam/wEi+kpMU3b/C8Cq577jRGiY7lst4rmR6bm150rRl+FeI56JOr+Kfhc8Kvoy3FtC6xrcc6IT/Nmgk/5WsEa6YweFTuqLQSd9x4RO2ptBfwV2R8eNoZO+o+PG0Enf0XFj6KTv6LgxdNJ3dNwYOuk7Om4MnfQdHTeGp5qn/z+Y1uofgi+Zz38qPGX9ve5edyv+RHTgSdbeHwMi+sWU0utusf5ed6/7FOjqfUfHjaGTvqPjxnCJpH/HDdff6+51H42Ls+k7OjqOwyVK+o6OjiPQSd/RcWO4SNIT0fcT0f8kog8T0fuI6I+dse4fJKKPz/X/NBF98Rnr/jYi+jUiGonoLNNIRPQSEf06EX2CiP7ROeoUdb+LiD5DRB85c72vIaL3E9FH5+v9PWes++VE9D+I6Ffmuv/ZyStJKV3cBuCLRPi7AfyrM9b9TQDu5vDbAbz9jHV/FYCvBPBfAbzuDPXtAPwmgD8J4PMA/AqmT5edq79fB+BrAXzkXHXO9X4pgK+dw18I4DfO1W9M7zB6xRy+B/ALAP7cKeu4SEmfnvBzWiml96WUHuboBwG8+ox1fyyl9Ovnqg/A6wF8IqX0WymlPwTwE5hedX4WpJQ+AOD/nqs+Ue+nU0q/PId/H8DHALzqTHWnlNLn5uj9vJ30/r5I0gPT57SI6JMA/iaAf/JEzfgOAP/5ieo+B14F4JMi/imc6eZ/LiCiLwPwNZgk7rnq3BHRhzF9CfpnUkonrfvZkp6IfpaIPuJsbwKAlNJbUkqvAfBuAN91zrrnPG8B8DDXf9a6O84DInoFgPcA+PtGu3xUpJT2KaU/g0mLfD0RrX41ague7YsxU0rf2Jj13QDeC2D1G3qnqpuI3gzgjQC+Ic3G17nqPjN+G8BrRPzVc9rVg4juMRH+3Smln3qKNqSUPktE7wfwEoCTOTOfraSv4Sk/p0VELwH4XgB/NaX0B+eq94nwIQCvJaIvJ6LPA/DtAP7DE7fp0UFEBOCdAD6WUvqhM9f9Sp4RIqLPB/AGnPj+vsgVeUT0Hkxe7OVzWimls0ggIvoEgJcB+N056YMppbN8zouIvgXAjwB4JYDPAvhwSumbH7nOvwzgX2Dy5L8rpfS2x6zP1P3jAL4e0yOmvwPgrSmld56h3r8A4L8D+FVM9xgAfF9K6b1nqPtPA/hRTNd7APCTKaV/ftI6LpH0HR0dh+Mi1fuOjo7D0Unf0XFj6KTv6LgxdNJ3dNwYOuk7Om4MnfQdHTeGTvqOjhvD/wcfnYuGONlmcAAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# j = 3/2\n", "viz_beam(spin_beam(basis(4,0,'x')))\n", "viz_beam(spin_beam(basis(4,1,'x')))\n", "viz_beam(spin_beam(basis(4,2,'x')))\n", "viz_beam(spin_beam(basis(4,3,'x')))" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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eoN8W4L1tb/bPNAIiolYKYrmMVcRqxR1OUAC/ImYcmw1Ay+KfbgAWpXwdRHNKvbeOxXSWGBtTNrvero+xxybgGfRXWOIK12nbUQCOhlq1F9C3nHcF8MTq8njGAAwO+N6Bt6k8w0bheYHey5T9DkyDt6VG+u2tBqAl8mIOQed7yOcvl5q7zmD1XmwLfS0W5uxUbD2+/fTkGN57LyFFANnj0LbVGTe1D8AOpnFNYL/KHwC4xDWucJ3WX2TAH4b0WeSPqPTl+bub15CAArpYJNECv5wf9spLPyXPB/Rz4KuOdUwu33PADmuO8XVovZyjPU+AL4D1nWs4Zs2TQFrF34YObJgPtG16Bhw5W+eW02mhvfiEGgCmofJgv8YSl7jOnysAwAWucIlr4OWgoDeqPWqVnoFamD0fM0Z3QF4eg5pWgdheQnVTjrt26/pspOfed+myZ/I8mH6dLb+pHe8ZnY8bGvtbx3thQhYbc4jm+tfX6tqTMJwfay4xqarfo+N7H5YK5T/MMq/rXuu8i86+0Vuw4Tf2xnP4TdR5ZfhrXOAK55npL3ENHA+J6Y8CcDiQag+YDDzzLGNDcyImZxvA+1LksyX2XqdYPmYl4XmA3ksL8C3nXFluAHhw+4eJ5bXAD/qyip25QFZh9ajr6yXYtheP+wGWOMQiR7WTOaBZbDZffc7lp7c91RqyqMVe58drYs2yDIzJtnuy10WdP8dl+VyEBPoC+JeD2vMSqmup9qVaQZ1yI5DDICgIL+p6sCHTTSEYJ5bNk9oM7sGsPS55+qCf+w2mAM/LHrjM6KD18o35RqB1nRg0jLQAsMrgH/IrESIQRlxdXRdgcoeaaxzgACscFtCnkWQ94K3LbyrjLwFEmV1BUR/fyo+3CTUAKma/wBUuCOxnuMB5uARe5VbueKH2/CGBnjvWeGGnnYA9QDr8pR0lSSfa37T8NgTBKouP1puAXwd2e7QUZtcehzx90HuZ+m0qsKPN1Ax+0PLglqcaA76Wae4zS435exWARX4NhhEYBiCMuLy8hjrdhO2vcYAFrvPPdZ0bgCVkGGn29tsGIF3ex/0F+LxXQW97utXDW6sKfw0AhtlFjT/DJU5xgVNc4CxcAq8XBPoBeOFYnkEvz844Q6N1ho4AVsLwdIwcP6IGuhe/ywE+VP/Xi4+s8J4tWhd3kqcL+glNulpudZ6ZU+kZ2KDtw8x3C/SsLQA2gWSM6YWVXmSLgez8iIuLq1xkKJl23IHmEIusTqcedZrWWjcAgIA4Zf2lPMCUWWenlox0fDRlWXt9VWLsAvoLstnPMrML4E/DBfBmkUB/nB/qSwE9Ad6H6QAHYmksYRk+5ucoQJffLD/L6ncov0XjGiShAvtd1foE+ceg9j9d0N9EWj+82dcAvLx8DHC2Oae++Xo+jl8YKyTQH+SffhkT6y9CYv0AnJ9fgUNtrXHvGfwHWBRgpuURi4wMGa5ax5oHYg7MadU4N74Guge7qPEAiiovYD/BOT7gDCfhHHi7SKB/RaAXwEuoTpx3/DtJIwlkDQlWrZdjBvqWhnqM8+4K83vUy+0E43nxcG6zelizfzfyNEF/W5aXfYblW8vE9EOwHuVFqLcNxFRyDf8Si8SQ1dTM9gCBPurLG4Czs0tY555Oa9UeOWeRzYClyciT6SVLFZDy7Xw2njC9z6LzDrqLrMaf4RIAiiovYH8vgP9oAbw9AF4PascDdWzeO++Khz4/H2kky/MkL35R5RvPmm+YPf9lORrQpyL0P7Ae9pFAnNbrJakCypEPC/xtzXDz/QC+DcDPxxh//TbKvLNMqdqVWg8LdM/aAm4BNX+bba6h8N1BRfiFFtCvAByMifml3FzP09OLVCTqCSztcNfSsVZ8AUv4IadFBmhqbapSrJieM+kuHdiF1QX0JzjHCc4y4E/xIZwBHx8Qy2fQv8i1OMpMz89woBrK8xnztlVUTcw8Q5BpVRnjemw5J9rnP+p+gbrtSDRXoMQMAq17yLegXq/tWrbF9H8FwH+DNE/9/cqmLD91LO+TBoDB6T3IBcDQl3TBy64xAGwjwNcB6OULaoMuY3JoXccEfhfSOz29MC8jh/Vafet9xp2CO72YC0gfPa0Sj0mntrtl9/MCeGV2APiAc7zHGd7hFO/DGfDJQWJ5seVfLTQmD9QsL88IsA67YqOjDfghumfcAFL0HwJ7hHlGU42kFX2WFu7pPGb+TYD/EPDfCuhjjD+eZ6x9HNLsMOOZ3zG+d8pxt04GOAP+oLGNz2k5+QBlHHmpV1FtfOPYkjJWODk5dy9o3YlmQWD3L66q8AtznDQEyXln4+6J5RXs58ZmT6o8ALzHKT7DCd6FU+BzB8ryrx3LH+VWrIToQoPBg0Y3RBOyrVPaX7rbEmS8fV5AHpXZ5fyxBfT6uTGQa4n5vx7F2pPCWo99DMDfmU2/k6mqN2F5Zg0DflIzK6Z34BZQMuhlGajVfgE+8nXMIA9Q0B/GzPbBNjS5zh8+nJVqa+caHZduGvAK7AOMDaa3GXbLwvJLo86fGLv9FO9wAgAW8J8cAB8dkFo/qLf+MF/xwN0bV1QAL9EMexNZ1c9gn/qNDdjhwJ62caej9Ex9nwUtPGRYMjAtUJn3LevrVj3joYG/M9DHGL8XwPcCeHZTVXfp8pTkaXnvWy37tPFVq/Jlu1PtWQVn+x0ghkfN8tUy6JygjO/ZHsEyvcSfV5npD0fU8Wu91/fvzyD84weitN1l5Tsl2hxixKoYA3qkxPTrDDv10nvv/Duc4lNh+nACfB2xPKv2JSZPTC/P1Ps6xHnXYnlR6QvLe9WePfFelY/qOF0py8tzACzDt14pVuG1UsGtxUrVn7Lxd63Sszwt0M9JUdknWgGj0sM2Bt6WN+o9KEznQM4f2Q5oA8DhPc4FECmgR3opl6Lih+zNdw0Hebjfvz8lddQHmlSlBxT0K4xlyCy16dVzz6AXj/15yaxLdvy7bL9/ig8J7EAC/OcOgY8pRPd60c6vB+w9AQrYFdQjb56PqPywaj3b8PIM+XmWxlQ/7PvwoOdv/pEE3laJ5ycdzPd6G9/Dfbcq/rZCdn8dwG8H8EtDCD8L4LtijN+3jbJvVyHUwC77QuMYtD34QA34KdDLB7CNgE/qadNIYqERCfjXYwbJaBsQ13C9e3fauHEpUtNwR4xY4hBHOXGHbfrUOOiItICAXh14p7godvxnOFXA/5LDdLFPDhLgxZaX7LtW5h1gG1VAnXdDUOedsDtgbXz//Jytno7PYF9mdl+mD48dyLP8pCdXg75OV7Zc70EqcPfAl3I98O35ug24X/Bvy3v/72+jnFnxP3YLPHNj1gW33AzXhQmmp49X6Q+CzR8Havb3Tr2aTPSlNeG7DPwqjKhlKPD1dWkNciGg5vHv5XhR7QX0zPJnWa1PKv0JPsWJAv5z+fX5OIfo3roQXek6Sw1mqT+xPOfUA1aVB8BjDJbn5b3yAnLAAJ0B70cErmPygYCogOdOSqxctFT9FvABC+Jp4O9Gnod67wHt91WAdx+j3sO+cMZ7H2rgH7pvoFb7W/Y914lBL578lhefIwDUwCnw9QWzyTaSYZemvBKuL5fGWMJ0QOpAw7b8h2zDf+YB/7GAntT6V4vaYy+g92nKERSiy7WJyBl4UJvdP6uizsM+MwH9NQH+OlbTd7fGCPSXAFhbUsDrGME1z08BX/bPh/9smffZGDwP0HspgKaf0qj1wX0jgzGgcrqZGL0Dvmf6w3wSb/Nx/IGuyyL9xOXlPZAPAcaA3p7Oqj7b8IBk2K1whMMG6GMBPY9hJ0k4ieUpDi8OO2F3IAFeQnTC8jz2nR/dVnGgLI287O32clPM7LFm82sH+qsRuIrVhJ6tab1q8WMJwCyhrOst6A0FKkGZ3rv5HpLtnwboW+xdHdPaCMvofr0CPrQBMIk2UBV9EvguDs0qP5/DXXJZippL9ujBqPn4Uge518btCvAFyFa9T2m1h8WVl25anXg6cOWFs+Xf4dQBfqHqPJDt+KGh1g/E8o3fTUa+QUhvfbHbHQw8u8vzEbBfZz/IVYZfAfwBjmhev1q1lxfC/BAO8Do3j+d1HVOwDfz52P6UsGZwP43B0wD9nExg3exrdrwJFviVii+gD3VyTit0xza9V/n5+EkVP6iaX0AfgMVI/oCw9p7fvTstLyp3oLnGEV4Y0KcWREDP/eNFtReWfx/OVJ3/+ECZ/U0GvWTdlSGwyJb3LF/ul+4jNsDOKGM13rO7gP0qApf5hMuIIxxkzUZNmlq1r6vUYvcAHaeAmR4lcbkFfP9DMb8/LNs/fdCzeAb3+wAHdtQM33LkCVA3AT6ggD+kHHMO4bU8+eKciiGn5Ib0Qg9D7bmuzpNz0/L792f5lWSmXxWmPyD1XvrOS5gOQGH5E5zhQzgndZ7ALg47IIFdBsZ4QSzfijxwnSE2vLunMab7EU++hDMF9ALyqzEB/WLUD4AXOMQRDnGEAzODr7flPSRbDD9CRgyURlSmI0VuOBX4/ha9+46dehb4Lbm/ZuB5gb4lnlENeBoNADcCADE9GsBHDXxgOpzHwPcgjnmBY/bDkNX7WN+HAXsExoWeG1PKrg3ZJdAfkTsrFZM8+9c55RYg0Idztd0N2Cm9FlCnHQPeD4HF77BoNK1Gj1V47nq8jAr0qwhcjukjYD8f8QIphPgSR3hRWP6g9EpcQIN0HD/XKuiIQzrgiA48rk4HeaoW+P41s2LTdKxMs/19QP/pgb6l2q5LyKmWGexB1fvSwSWQeg9iehDwg2N8TIOeR3p1+fSm/jyAZulfH4EwAoH0YwZ8AQhMZxJE4OTkPB8eie01Ug8I069Knj2Q+sefhQvtGvuawO7z6QECuwN8KwkHqJnd2Oyx7Y2/GpXZLxXoOF8B5yNe4gjHOErVwVFheQX9UEGe2Vg0I51GO83amxyiATLzYDAQFLBLdqSU0fIUAFNsv2vxllaXLl2euTx+pp8g8Y3Pm7TtZz7C7oC18YXtvYrPrA9Mp+j6edq8Y45HzeV8+5DdRDFXqjBjVDW4sOMis34szHp6ekG2+0GxbwFV/RPTp0ExzsMVMXwj9s6qPKCxeBOmDHV+vSz47rDM8N4rD1hHXWH4EThLn+P4Asd4gZeF6a09r12Jlec5RTk9B1HrB+iAoMLhdjTBdJ5yu9zXmJ105efUu3TGhFXad6vcPwXQT4lvDLz67vdVfezDPPDNGHmwwG99y0sO2Je+ZdNzvJ7rzmougx5IgI/ZZTSG9FkOGSSDxqlLYsrCxL/Pzy+zmr+qQC8DZogjr6jwPD69sdsp6QawjRuHF/kZ87tr1HnUKr2o85f5fgvYV+lztgJO0+dVfIFXeIljvCg2vdjzbQceVyEa0OsowKGo9Cu0Rc+SxmQs5QvAN1HxvUw1GNuE/tMFfUsYJEDdMLS2VSxPzA7eNvHt7XvAxfRRp/D6IbnkOh4MImU7MesqJKYVwB+F1FHnRf6+zvuABKYIXFxcYcTYBP01lna02so5F9q5B0AjKuEaVNZMAAX56IB+Tc46sdsBBfrZCJyOwMkKOFnhdXyJ1xnwDPrDiuW557wF/FiBXhl+Vb1QHnwRsVjy3PFJLPb1bL/ei799eV6gbwm/fNW2QGzbeFnLdvfNgPeNAOC2E0B8JIA9KmVwjVDXVxoCcRSuQu0oLE60mD5HpB5f50ZiDLi6WmJELI68MnjGi0DqemZyP2e8zzDkXAZ+Rlxv+RazBbAJNtcO8M4jDyCDPQEdH5bAhxXexGO8hoL+RfbYA6DYvDjwarVe1XnNWhwxYFUg387V4xh8xFD8/Gls4UDXQd5Snzmt0Legv/3m4PmCvv2L1Wo+bzOsT6xttAAo8FtaAODADQd+1I1EqVLIbt2YGwGouixDZKNRntcqPBMzaMc0W64MgB0R23kGPu+f2ZwbR/8sC8BDijyw9uJDcJxcw2C/UHsdAAF+BbxPgH+LV3iNl3iFF3iZWf4ov86e5QWIgMbjeUKP9DOnLcrx/gXSOH65TUjPu0DAF87XDHw5PlBZ6f80oFtawrag/7RA3wLyXM+6uXKCW26xu+w3g1yiBr5sYxCXYwTgcmyjkeCQHfK+GO15MngEUG/nhoWvVzkjMxAHYBxdWdxfn4HNOQtA+zcAbILQmF9RnmaK4+4F7NE66ITds72Ok2xRZ7Dj3RJv4yt8hFd4g+Nsyx/hJY5K9h0A079Ae8xLNes5+dItj8TyjVtDxKKo81KO8rv9Y+DrY5sC7a5V/KcF+pvK1NxyrW1h4pvLYhWWl32yjWdD0zC4ssw1g01cmZqphU2R28jUm9Xabhxw0YGbbPTSMy6fFHMjJcdJt2GAAO9U+eKgGzPQU18AvFsCny3xUXyFj/DasfxRycCTGYAsy9uYvAf8QKAfMsvb27d/QylpwFC2KOPXwNdymPWnVfyWbLc5eJ6g92Be188+uGPN+Y71WxpCdZwHfKgboJsC1v/mbqKGahpn+Qbq3mkRmpzDXXqrkWdgu66WZfnONyHOuJYuG+m84mOINqPujDzyYre/T0AHAHy6xMfxNT7OgGeWf0HZdwJ6Tsaxan3608k4UzYiAAzZbecfuQc9h/rYZ9/+S3Y9oHY+yqOJ9J/FNg33Ic8T9HPSAvbUcVPrvsvuVFm3YeIY7bKZmSVvH2lbC5wCQrahxVm2Qh2nX66SBsJMvAxqewvIl9HmwMsEnAuo6SGNTXB1lDoA6rCTjDrxygu7v1slwH+aQP9xfI1P8Car9a+K805ZXjLvFPTcjy5VS731q8Lyq8Ls04BflPMGYvqB1qMBv5Ql7KwgbvP1NIv7Pdvi+8cN+tuqr9sUz8pT6v9NRMDQatSZqZm5eUacVo+zqqtptpcBVaWvI16UxNR08VVmrKurJcrU2YuYowBj8uBfhRwSpLIXERiyKjFI8lDIDjx6OD4sB9g02rOR2H2VAP/pNfCLS3wS3wBABvxrvMVxZvnkvHuZ1Xp23AGYZHkB/CInJLUmBNGfIHH5mG33RTYJ/Dj5lu11u3ju9XWZt9t3mZL7uEE/JffRGNzaPmb0+n10TARK99kyw02012ZmZHWaRnIF0AD6qLnp3hMOpO/LiOPs8BLQy8u9zPbvxcWV1qeMDBRTv34Tox+zb0I7n2AcUv0WUUHP98KNEKv15JUX210A/zkk0H+MN6TWvyi2/BHZ8gx6O2UXg15n4k2Are13lOMHRCwK6MdsxSvTjwbwPj1HOV+BXAO/bgLuX7m3keIuXbrsgTxNpr8PmWpaI2r1229n9gYts4ruP6NjRNB2Tl7hUWLY5hY1+zK2w16SxQYgnI94hZd4mXnR96e/po6nQErZ1fwAtLMJWbmJAzCOybG3CNa+5zH/LknzkNDcCbH8p0vgF64zy7/Fx3gNAEW1Tx77l8Zjz6q9MH0r3Za99QMl4NiflvPvF9n0kb/RaBD1fAOW3wGUbWmZM/GsM88uiWzXY8/SQT8l/nkbkDPA3QfINrmo8NBPGfstO/+iu0hRh0F2MAG8DAcV1ftd7OOV2sg57BVycssbHBfHl4BEXsbU4eYAh1ga9fj09AJVl2MfmuT7FcBLJxt5TtJocS69t+XFcUeAF8cdAKPaHxvVvs6vT0/XOvAkRDfkT9q/Kvv1OFHnI1ZII+imJmIw4E/XGEpZNfB5S62+3w7K22sEtjXu/RcA/EWkn/wvxxj/7DbKnZQZM3qz8ycK8IwNWm+x9+j2iY3Oc9AXzzpQfji5vGFLWNAz4MtIMWQTX0bqbbayqaonK4STEW8zU76mDilHhecZ9CMOc097QB1hJyfnda4B11dCgqtoe9gF2i+N1yWBnuta2fEJ8BKeA1KjVXvsD/Ogl5yIo6AXKI8O9MGE5pJ3XpaU5ZPWsILOEcgfQJm+NcOQ/NL2e85Vd3+s3pI7gz6EsADw3wL4VgA/C+AnQgg/HGP8qbuWfS8SG99ehYdbXwf0kb4Bq6JXgMnn+jZHQOK93SVrzTnmTI+zkRxiS4QPIz7Ga7zBMYAEegGLdqwVR17yZEvYC+CQF/Dhw7nWsQJ9fkhLN1JOoOcg98H1F5Z/v0ygJ8fdJ7DxeAB4g5c4dtl3LZb3uXTM8isDSVb70z0Ioy8Ks9upr+ohsz3MYfbVD01a+ptl3t1Hc7ANpv8WAF+LMf4LAAgh/A0A3w7g7qC/K6NLGXPMXh2Lhvq+Buj8DSSw80CbMqb7IpdX2cSoVXtJVZWRYsROBzSufTraZJZ3S4T3Y1GNX+MlABQ7+KgMBq2pqeLNvsLSML3CPpTZcuu6CuhjPaEFYBsv7kDDLJ8TbxK729DcG6r/HMsvGpBnW37EUOx4uy+xOgBidzvlFc9u68fQ9Sq9budtm0N2V2G7bYD+GwD8DK3/LIDf5A/ayVTVIqVRjWRfzhxr7HVQQ4G2St8C/Cq6XPfYZnjfT56v2exTHpXZuQPKqYttf7ZEeDfic1k1fkOgP84x7cOSwiIVSLbrCiscYYlDSmNl0AOogS8sDuSuvYN2/pFjykCWUUN0Uv/3qc4K+Nf4CK9yiq067aT+Yp7o2Hd2hNsa9Drk1arYIbUaL6BXuz2Y71p5Z6bXJX1Sllw81ayL1+9Cnv5U1QzsTY9nIJdtqAEOqDpfQA4L+BUBvnRYcYAXkJTGwNWXx7z3g0DySDHSAaUR2w7vRnxd9nh/lFX7V3gBwA4Uydl4AgwZNNMyfaiAVIDPWgmg9S3qPWp7/iJrJlL/dymXXuor6rx0lxWnHYCs1h+ase9as9WYR1occhyzl/y6aBx0ABqAb8G9pd6LCL/LspVpm/6m2sDdG4ttgP5fAvg8rX9j3rZ9uYm6v+5YBjwE7A78cpxhdVjAL6Kq85LR5gGfjGfq+Rbtrzdly3Pmmu91Jg6wT5cIn63wdeQAe0MdUgDk/PQDgrxMXmkHzBTQe5aPdCMfPpzXoL8Oqf++gF4OX0Wbcnuq9X8bjyuwixovqrwOf6V2fGuAjCnVPhDDC9g1pdZOVd0COjd883C2P7n/fmyyDdD/BIBvCiH8KiSw/wEAf3AL5W5HPHMDFvDM7pL+yjOgVuwO7WwyRGCJ/IvHtnNujuV5dNg5lufwFlBUYwH8L8FHxuPN4S1Ax4E/IPs3VU/y0Fe4xqqZ0QYCi3Q3OTk5RwnHATp6j0xsIffm7fncaL2Jx3hjwP6i1Pc4ayXC6gDcxBVetWflmpsnP4CF5spLqM2n4dbeeFTLcMfPNwVTsp6v71P9vzPoY4zLEMIfAfA/I1l13x9j/Kd3rtk2pMX2bLO3EmhG+gYsu4sav2CVHtrXvXUtaSyKLR9tPYB5W156n4k6DxQHmAD+c8UJ9qoKbwE6ZtxiAvRLrLDA0oS8ZD97wGXgiYiY4vgcsrsOacQdyswtYcc8KMarmGx0r8Kzk+4FtBPNkRsJRxlevPbcX15hIsNQp24xAngL6ClvvJTUgrn+n5Paitcf/HHItqaq/iKAL26jrNtXwq0YRoV1zJVtcI0ACPj5uJJc0wC/B3Kl0mfAywyslZ2fl7nzjMTkS5dTCse9066mNeDrDikyfJSfuFJebslSm+qVxv3Ol1gVT/8qg//8/FLvZRVSgyVRC9FcriJwPuIYR8Xc8Cq8aCIvDJurucG59azWLxxwhduHXG/L1HPs7ePpNcADpgE/3RA8pLtuWnrufZcueyZPNw1XGtCpZlZU+5Z33zvvRuQhqmCZHbTOzrrKc+Nac/H4r0IeE0/OIXtXHF2AzcATlm/1QsuDSljHXduWFwYFYNRiHjzKM70+Ou2GuoTMbb8qXn5hfVGiLy6ukkYjGXnyDJYRuEzdeV+SucHsntR4O+ec7zUn3C715HHsud6h3Jd6y5nZganEGTT2YfI4L9NcfnuWv0/94OmCnmUqbFeAD+uNn7LrxcNubHpkwEPV+gCXYDPmcuSFzw6/RT6nAF5MjKgOQcB2PW157N9rWA4Avg5vS4cUiW2zLc8pt4CC3g4fpeE6VffVJl5hVexomfL5KtvZ11jiGgdYZU/eiDH1xx+hEYxs0x/mcwTcUh9V4T3YLbgB8axbF5uNL6gPQtZ477S0oRWrvdG8Qjcrs3XWwzYGjx/03hnXcs7d5Hzebhx4UePL8gEs0wfULO/Lk3NWkeasC86BF+sJGnkIqXPH8u8k8eYtAFAyC48Xp44xHkIKQNOeFyeeXweQ2Z8ZV+3pg/x9iANcZ9AfZBu/jMCTn8ECQ244tJx0/FB6xWms3ea98Uj13hYX2QzY9c80tT3SCxEN5P1/X5IttS7hccnjB/1NJdKCUafdsmF5Wi4gJ+dc6+OvyQ2FDCQx5G9Eq3FwTB5Qh1cZXGIkj31KrZW8dADN+LaOJmO7nQKaYScwkpdSAb/AmNV8AA6QAYuiUluAimq9gCS1jGWU3TBxTtrXynWTs2o1e71ybR1mFsAahYhmOdJxMGfwFu2F58u0wF6nCfhGoN147EaeF+hbWgFg3wnP8DJGu3jhhe1LpxE0Os7QD8WAL7n3BPhq3jZS7XmgSBOX137m4cNomB1A6VvOCS0vc9baEQGeO9D4UN1YXl7pgabZaS1/N1CDbw6Mm/PvFEtaOPrtcg82IGJBLj3sWn8j7FWmjmuB3da8bhbmIP0Y+P/pg7409MTsU8fI8iZsL2AVwK+oDGlFCnNDM/QAC3hzXTkO6rgDJlk+nIyV3Q6g5Ka3wl4+aw2oB4occ6UjLM+2HpssyRkeUFKexPAFhePo4/sjHT+ac7j7K08VLTPD6xTSMmyVNFPJZeehxvkEsSqf56DXOvnGoHW+Zf5o/lu94nb83WoQ7qOJeBqgbzH4HJVEd6A0CgDK2PIM2NBgex6TftV49FzGEDUBR84Z+HrUQPBIMjxQJKeqno4IJ6Nz0h2XDiisyr/MKbbM7uwQA3igyFxdAH72lfTtASBDRUcToxeP/jLb9GWZO9yMOpOO7BfH36qsS5nyJzkAOkR1Ol5HvUkdaORx6mQTDBjOL+DyJCLB677h8sBXsGujx8/INgK+ofTwr7WFh5CnAfqbSKtB8M9dGoEyNXTQhJIypDWfZG3GqtGQ7rMm957K8Wo9T+kE5AExVgX04TTibQX4lKIKoKjyOvzzoXOYDRPqeqqPgrxWhQFMADz9XWGZvfdLXOVZbi9xrfPpSRruGIEBuLpa5nDbAodIIcdDLHFE5VxTSJA/OqT1KucL6kCWUnduzESsJtECv13nc3T7NPfLU+TnB9iGgJ8xvzJt2aQZ2F5T8TxAP6Xix/zP57u3svJG0Qrk4QrT83q050mIyufVBzqPy5fUVFHtL4npsy0fzsacl/6yyku386+zKs8jyLBH3Hq/9XZrtVe4FlAmXhZQXuMKS1zm6awvcIULXOEcefTcF0Gnr2bQLyMwRFxcXBXHHoDi/ZdQoIYElyZG7/sCcFs+ZJ5vNWex3FM0GoTNKNTldM+jAbzXBhj6AOBVfgt1ro15GSv+uVtDcDt5OqBvqfhAzeqtff75leaX2J5ZH7G232U5RjsYhonb04W8Wu9tebHjgeLAC+ej6Ute56VzWq1EuG0X0xZA5JYZ7PriK7NKCE5Y/DID/cIA/RLnuMQZLuzU1jLDrQf9Ij3L8/NL8vYPBdxyH9JwSUiwpanwfbR62LGZ4lOI1cSoGwAAGJt/NfjbrG6dfrU+YNV+3u5fz12o/k8H9OukpdbL9hbbg2z7kQsQxncFl9x9TACersk+BJmNRsatL+PeRTNQZLgYTaz9uHLQ2bi7TWRp5c7XXONtXQF6S11PHwX6GS5wmj8nOEd8NQCvkvpdQC9TdANqyhzGsv309CI/nlA0Emb1elAMGzVQQC2QAowj2kwPxIrpa/PBajd1Y7ACM33tA2CrnaHsVXv9TVoNwOayrQah59536bJn8nyYXkTs+nUqvpC69HWvWJ/O4w9PA+3V+sp3AGJ5x/Q8UORlLKq8qvM+DLegEFw9akyL5SVXSHzboqguMZITbWnsdQDE7unDDP8BZ4hvFsDrATgmppeBMaUahenHnJOvz+fk5BySeycfTgZqBRL1ntIQXwcYoX4L68zj6EMr4pA+6TmIer8sfo3a7veqPqguc7kAVteqbXqWXYXrgKcG+pYKP6XW+2N8K8CDZbItPwQHfFL5je2PRpaeMwGkUfEOPBkkIzvyjl02ne+MwumwABqA51uV113Gu9XtVq0Xu52dc6mr7DmB/QTnOMEZ3uMM73CK+HYA3iyA1wu16V8MOjCm709/FPLUWAEYVuWRfvhwltvM0Gi+pgF/iBEjDiAj19ozFFgt730NfA07rnJDoCHENvAFnBrcsxH8lk+fX4laNoH2duH/tEC/TopZPsH2/tgC5rxcAT9vF6APc4B3ZTPgfWw+95nXXmeHFIJjsB9AB4xI/cfT7WgKrF5OMtTSKx/ciyIgUMAL6Nk5l0BvwX6KdzjFZzhB/GgAPjpIoH81JIYH1HMvfQ0AdVxeE+izYiBa0vv3ZxXQvcYCWOYecYgVRgpNtjQdjk7olNRi11+XEKTNNajzB1pML6C3zr05G9+/GP64+uW5X3keoGe298CXbc2D83pJrIlt7z1Pu1yAzuG9Rn24J50ZJCOW2WPZG2+Taw7ge5xNz7CqL52MCWcHimK1WB13V8Urr4A/QRrjXtT4dxnwn+IE8eMB+PgAeEssz6A/mAH9UVT1HzCz5bx7d+oenr03W/8Ewk0GxuSsO04CWjaAD2iC0TzwOa7fzt6zkEb53sSJd/9wT/L0QL+JOj93fJzY6IHP3ntJtJFJKqYAX37nqLY8q/Y5KeeIGB2oh4NqeeV9j7KazdSDPTpvtmX5VVHrL3CV7Xax1xPoRZX/DCf4RXxIgP/kwLL88SLF5wEFvZ/oogyjFW1fe/aJgIFf++ml/j7EyPF81Xz4fHkWbS8+jw8AANarb7MEVcXXnog+e286fKevxhTMN7Hnt9kgPD3QT8kc2/MTK8dMAD8Adry7YNcZ8LXhqWWXfHwY0NtBI2x/9xSjbnU3td7IOcDbRBxVRVcYM8un+LsPxX3IqjwAvMOJAv6TRQL8xwvg7UFy4L1aaJgOSGPj8fDX6aJq0gjTC+gXyEyvD1CBzzawbbSSmn6II6zMmH92rDyY832YshW6A0AZgfXQYD6EB2iDwt8twHvYez3ASmvr9vn/aYL+JmzfzNIDxdL9q+IKHul8aRBErMu4Bj2r9isY1d164weXPOvnUqlBILno3ImG1+WFB1BedrHlJdHGAv4M73ACAPgUJ/gFvE+A/9xBUus/WmSWz6r9i0GZXuatH+jZcYN3NVqmF0++e9Ss6reYXkF7iMPC9r7jrv4wlu01crEicC+J6QX4VsVXtm+p922bvu2796o9w3lXqj3wVEE/JS22531AlWDXBH5EG+jM9uXwqOWPtI1Bv9LBHe0gj9ohxsO9VuQ5MWRE6niiM68y4NMxsbyg6QXX0JywvDjs2FkHwAL+kwx4YfljAv2hA71o2PKGS4N3EICD0TnyatADCvz6fgW0CZDcuYgHybQ/FGtEkYC/Anvz0zOqE3fqwUBbjrw6S7/23dslXm+5+rxsu0F4uqBn4Prt65x6c8AviwRmbgDMxWlRgA5Yr/3oR3O1I8YAPLuKt9ulLVG2Ssdbhh9dU+GP5xCdOO9OieWTs+4DfhEf0nUZ8Oy8e022vAc9jxLkZ+w5iFYTmAC8yLt3p1Zxgky/pUA9arJ929EpYPQ5962QnY/h29CdNqRs0bdYnvlef8s59X43qj1wR9CHEH4/gD8F4NcB+JYY409uo1I3knWqPgMfUBufgd8qyDcK1fHgtzKjM2+gIbN5FJqpkWRqZZ7tdn1RdW50Zvh62Ct5wUUTaDnvTrPj7j077D7JVOwBL3F5CdO9yPb8Yfbeiz3PE10w6BdRBweVm2z5Qyih6f370/KAbcx95djezmmXire+fN9/3sfiAe+9H8uyKPdTvfKmPfhTzju+7VrN34Xclem/AuD3Afjvt1CX7cmcqc7OvQDXADTUh2YDQfs4806OcYBvDTNVDxJFRdKLxKxtu5YmhvczvCgrspOK1fqr4q1PgE8sX9gdUBteAM8ee3Hgicce0H705RkHVe8XE6DXm83PMAJxkRqL/Bzfvz8zz0QAK6CsZ6+V56l5euwX8Pa9B736DPjbf7ghagEe1RJoaQ7mu+L6O4E+xvhVAAg3mUCyS5cuDyo7s+nvdarqloo/68gjtm+WFyfODWomyHZmq1G389zmnGNuXXV1Y1mH46QnWc3yqyqgp+dxV1lR7TW99pxs+RONw3+cXwdx3HmWP2bVPhDTB53ZRrQinuBziEAYgUD9u/xz44+cnx/1hw9nldkimoxX8QFUmhQ/mxbbA9zLbjodt1bv62Adq+xTdnuc3WL33IesBX0I4e8B+Fcau74zxvh3Nr3QvU1VXS6A9cDnbWtt/NY1GoAH9AXN65xPzsDnVNMa8tZLr3b8yoAaAHSaZdutVM4V+/Qqh6OunC2fVPuzlFpbEm+yOg9YO/6YAM+qfZVhB6e2h+y9z9vDgNIqxsH6QVbyHel7YXwmJyfnBbAas08q/hI6v508fw/72myycXdO/pmO0bP33voJuPz5RkDV/YeStaCPMf7OXVRkK3JT4ANt1l/XAJSX0drzbKNPzX7qvfPpO70C1oZP7O5fWiB579lXDaj9LwwlufUADMtzim38KKfWfkQOO0CddseDgv2FY/nDQUNw7LmX5yLDiPEtx8z0cUyJUGMAVoMNb8rowzykeNYIpD++HyBDwnc8JmArOdc+Zw25pTJrW58bBv5t5Hhm+VZ6TuulmWL5XXL90w3Z3USmgA9Y1gfm1X7QscRCAnjvjZ/uSlK3+lb1tDwlL+qqUl9B+zX5hGPyAExcXhJx4tvBgl3UeEATcF4K4EMeEosAL7H5VCEHeljQ0nMCkMB+GIBx0Gm/lwP1URi0EQCU+ZEG4lBVXxyWY0nNBepeiObncyD1TG+1AAa91Qza3WqdxVcx/SYsf/8awF1Ddr8XwF8C8PUA/scQwpdjjL97KzW7rbQALttFpmx9wDYAU+XLt1gIgIGhz5avX71UgPXsWrDXarsf804bBLZTl8Tyl3kMO/XYX+T+8IP1zr/OmXY8Ek4JzeXP4aCAl5Raz/Tl1oIOFsrPTZ7dSgA/pvKkC+5yoJTlQScDEbU/2/tnZ5cFsMrMdsjvmu3t80zV8SAeG98an2emb/N7S7G3Lw43Ag9j0d/de/9DAH5oS3XZnkwBf27/pk852u+2jc6huGm4e9YIkEy72k7nhJzaQaXdR33mHQCTfRffDDXYmdUBHejyiNk9KLsvgsbmAbXp+RnJJJ4Rad8CyvwH2d4/oDIP6XM0KPABq/pnk+r8/KpoOKKO89TWftgt3857aHobfeo7ut/MQ98r8O51WSO7sfOfr3rvGfym+6eO98sVr2tD4E9vOXsAzS1PVjwziQU8c5ZwhHrr68ExznP/eHHgxddDyqorzD5YwEsHGgG8B7qw+wIZyEGfIav3ZTSiqKCXD5D2LUKO4cM2JIdD6pV3OKSOOoCyvsz/lxn/4uKKntNYxhBcYTQq/uB+EebcGvRSmj5b1SrSUn28V++9Yg+64jzL7wL2zxf0Ipuw/k3KIvEMMt9+WCtPB7wAAlJn2FU5MmXaxcz+LdsUsJlqPAQW59cDwBku0kCWrxfWSecddEcZlQz2AwK79IOn/vAA7DI/CGkISqOQH6D4AKScBYHeM7/UR9hfHH9Zk7i8vC7Pk+1zmxjVZnt51vLdcsyxBsA+gJYqX/P9lPXeAvxuWB7YB9AD0/b8bcsAO6XrF6rtPAoVE8gLJKPdyGUWGfKJ5X2CrpapNq32EfeDYwBAPB5UjTcOOpdSK445BvtA3+yNb1su+QFklpduyF4TAO0rDQB9mPmBBPpl0O9VSOCPAOKIq6trw61jVvVXqMfdq39W62jjvynvfLrGNOBboK5539Ziet/2ZT9Az7KpWj/zC4Tqvyy1ChVVg1+g0TUSQHrbx/ICpRd1bL6sFvDSV35pOtWc41JtdAH78YKAPrTtdYBAfgOgt0TU+9YD5IaAtYfS0IC64ubt4vRbZeCPITkE44jr6yXkYsL6Cwpu1kq+q2oTwFYzs7CeBjybDcz165x3u5L9A73InZ56cN/zl1Gmty8Rx7TScSEDmofHCsaGByzouV+4ceC9CHYyCun/7jPqWH1nkAnrsnreujl5DIbWHNiLihPteSzcEEjnHa6PjLFnTIABGEfIjEXX16tSfHpGAvqh6RfxVZkHdA3m7QB+943AsP6QLl26PCfZX6a/pcxzvLbaoXwHYgRhID02iQ5oKQNeSSdaZiTrdGLV3nrt8SIouwPK8j7Wbrzywc66O9XnXVhbPPTIy6Gxvzjc5OOOmaI3b0qI1sF1PQjZmy9qvpa3XGrX42Qq2XnvplT8FlNP2+u8D+YsXpuXh1H1O+jvSdiSl/Xki4/ZepdxtAXsKGCfsuPZicTJOJyQU7zwosYD6qhj+51DcD5d1uu+ceIj4wdwAyFqPI0pUD5cnvRXcP0Wivj6BNTe/kXUBmC0ZSyXKwf6erIsD30P3qkGwP4m7WNtmVz6w0sH/Q3Eu+6sxGqfN3kV8Cjfun8sFnzrdUzn8/hstT1fQlvsoANs2iwDXQanlE/ztmKymQW4ZZBQArrvPyVJNK2ONIDTAuQaaAA/6Dd7+6XuQwb+Kt+TNEK5rNUqeU4WUL/Keraf4uw26PVy83a8XWrt3Z100G9RWj+q366Aj4ZzphiI1Usen83PVpMAH0h9H+zINszuHGf3FysXjao2l+G/gNKEcRvn8SOsy2CXxBrAptVWDQDXg54cq/ymASDAj4EfGhAjxnHMT3CoQD8Ne34ULeW9tedpAB7ooN+aWJ7ntdq6GxHNS6fKPcCgZ8WSk0+8al8ltYinu+TGw441721mQBldLmwAGRJQy/EBZsyB1hx+ZQjwqKPiSvaRNADcGJTrkUkwJUbdJ/CXjD9o6i8ixlH0LBnPIG4Ae3kULdb3e6cBXwP74dX8DvotiCiO+oMybHU73FbNyAv5LHusDfGNTdBXYaxFsKwO1Fl0xv6GAl4ubcCOBCyp2yKfM6DN9LOgzxdYum38GV0ZXCYLNzhicnjQR+SGLAE/5KenwdBoCpyy8fV/a/1pAR7ooL+j1PyOsiVm8CtgFOz++FbjYD3H3MOrjO3WArx44bnnm1eNzS1EstlF/YayaKuRYK3B3Akdw2o7T/gBWm6xvazTyDmmIWDx6j7fb5mJOJafIMZY3KfK9rbqbWmDdXN1fr70XUsH/R2FIc3dYSVY54Gv5/HxgH8pfLiImX6F0YWwoOvFQQcachoEXGJ16QnHYAOmAe9Z3jN95A+Bl9kesNN8MfiX1FBwIxQbHy8cQQiASf8d8rMfE/C5sbYN9XppheLmAT+39jDSQX9LsRzfPiJWwLfnTr0APjOMu3YCqGPWJX0VbQedn8izMHFQwC2QvODANMOLyj1EzMfxHXgZ1ICZ168Cv1f5AWzs7S/3yx/RAkKJMiT/YNzgN5yXm7L7YwA80EF/C/GvClv06WeVhJwa3mz31y9cK/3DjPDi+6/zp7zgbhkgds9AH913GcsuajX5drmRKB1kYjvMJ4CXc1htbzG9TN9tWB96HmTZA5/qJ+KrU3X4sdW0v4Ll/LZ9P71lPf8/Humgv4OwkqjKeq3qJ6jX3N5aU8DDgN6o660YuwF84wKerWW02lUk7/cE6EvjgOwtl2s1XmnTSADNkJ1X71sfw/RQ4PN9zCHKqPrE9ojmPKuu2+Z6E5lrDB4j4IEO+hvJvDoo8Ga3nX2NFPZtVEZaiuVbAE+nMdM3WCwVQrUVlbiwOxLgB2F4WACbBkLOAwE+KpiqxxBtw2Lm9MvXcDP54npsgB4urg/6RGhqb0SJ569DGbtX3PFps/6GrdPWy+MHPNA73HTpsnfSmf5Wwop9HbTzqj7AjK/H1aWqcl/yuls2emW/N6rH38yQHI4z2oKrUwnlBWXr4tWfUO/L9Rzbs10PWKddy6nH+wCK4cea9YtWsiG3Bsfb1SJzffCHNCTOrD1O6aC/obTgXqv9VtWXLevKtbCHDTkxuOdczl41l22SbGPAz2Vpv/QC9oh03IIAz+q9CI93X5kGIMDm49lLPwV8n8HH5bBtPwV8/7indPQJVT/t2hzCTwHsIh30t5Ap4Ivwlkhb5kuUd5dK8kBnG9qzPxfFYABqpp/SELgMOUc6tDDgOf5P9dfrxzr/npneZ+mtc+Rxth7fS7HtbRU2RuAaY/0pAfkmctdx7/8cgH8XwBWAfw7gP44xfraFej0hafF8Eq/2t87kNbNewN5Q4713PfKyY0FAgTIHeC7HNBIE+KLax7qM6Mqputc6pufY/VwDANhGgPPz+VrmOUTdvqls7q178hLiTR6MPzmE3wXgf4kxLkMI3wMAMcb/YoPzns3j9fbf7aQBeLblefRYwA4n5TPzOPeeB7r0o81yCu/CHc/lcmcWNjOmPPfpdjR11nvxARvC41RcD/yWD6B1Htv6gG1oSuPglqWet9EQnojEGJsv5V0nu/gRWv0SgH/vLuU9RWkr+MB8I8Cq/5rTZovJVy9sFxRwgUAgDC/fpWBiSAbAKibAs/OOVfuQaz/J9LENfGF6H7tvAZ+TeQq4YZmey680Htwc0HvC9tu06f8QgL85tfNep6p+YKnVed46ffyktNh0cpALWMBHJFCEoKAPUNaszoUCVBx/Qz7XZPzNqPaTZUb99h165oDfiuv7nnhGzXfq/NRyFwAbqPebTFUdQvhOAN8M4PfFDeyF56Teb1WM0w61Pc/qvaj9MoiEqOC+px1Qq/+tdT6e1flKrad6eSlM21CrBaCAsr4P55kUXNIMVo3jvL+AG5VKA/AaDTUIVd0nf50nJ7dW79dNVR1C+A4A3wbgd2wC+C4T0nLSTYnaFLrOjB3yAaVM1kVi+xyea44ddz4DL1B5U+o94MJqDVB6Bx8DnbUAwDYOLaBzTj6gIOdl/2Y+Q5BvKnf13n8BwB8H8NtijGfbqVKXSTHYFZW+8T1mcHv7XZZj1G6yETpgnx+EQtR6n2tfxq5r1K3lzPPmQwu0PrTHjj/fQKzrdccNWuv57bnc1Xv/NQAvAPxC3vSlGON/ssF5/fF78UzfUu8ZbKzii+rvVfKirsOq/9U6bePyvbeebflZ9R4WjKxuA2TrY57FucNN5ZF3wJdtcn1j63O9nGr/jBuG+/Le/5q7nN+lS5fdS8/Iewyyzo5ntd5syyq9rLONzpRV2C7oOWwOcB95gEbeATF9bKv1U3U1SULExrKvZY+3GB2NbVMsP2enPyMGv6t00D92iVCQFVOMwMcgE1teQm7WCaDlCVD8IBw8w40J06Ft0zfr68DHoJftPpTHy36fOd7t92aEV+O9Xb9pF9xnLh30j1lkuufJ/fIv6HIF/Lzds7u0Awx+jut7pgd/z6Bmyq6fAr23+Vs2+hSre7vdaxm+TlN13TPpoH8qEv2K0/VlKCsGPnvvJYxXRodtgN84EQGj1rcceEUDadS1peZ70Bvgb2AOcCPSAnzLScf1aNV1D6WD/rGKUetRYXwj4AfaJyAfkNg+EPjHaJN/fNbdOq+9r7d8+xx33xB44LaAz+dPqfS8DneOXI/r5pfntj1D6aB/7CIqPr+QxsZvAF8YuswqCwVyDDrarYBfQO3V+xImjLcDvdRxCvQtAPtx8NYdvyngW3XcU+mgf2zSYnhv28tLK/sqNUDAHvU4zqYThjcjxYoJgNsD3tevxfa8fVMgt47x5fB1Sz1owzqg71FD0EH/lMSAnZcngM/HtFJp/Tr4eAJ8y46fqx8ve7b2+9aBH+78lgaAiePn6rXH0kH/GGSGrJtsX7blYzzwIxTU5QApbwLsBehyygzDz01rzffQ+pbj5pift5XlDbbP1cMvz2175tJB/1hlCviA2vgM/Ook3uyAzo2CSbhx6r2IH6ZrCilT6nUTmKjB22JwzOxraRNT9emAL9JB/1hkAq/N/ezcC3ANANO/L4OALue0esxVmXdxvm6tuvrldVrAXLgNE/unyp+qw9T+PZM+7n2XLnsmnekfs7RsfcDa+JOMRWpwa3rqoiF4Vkeb/VvlNC87wbiV6k/Hb8Le63wErWtMbdtzuVPX2ltftHetnZYWrtZt88CtwLrmOL9/6rqbqPhT4AbWO9g82OeOmStvbtvc9mcm99K1tss9SMu2X7dtivXZEWgWPPPDOgrlEC5vVqvwdZuxr/36Jqw+d2zruKltc9v3SDron4psAnxgGpwGxMSkPgzoDqnKv2mdZ9fXMH9z3wy7z1Wxg71IB/1jlClPfouoW+BkIG90MV/WRPbfDYuz2xs7poDeZO5bqvLr9u2hdNA/VpkCvuwDpsHPrN/cv8nF12/aWDZVtacYfa6cdfXqgK+kg/4xyzqW3VTlF2l13NkFKG5iX9+kg0wH/K2kg/4pyG1ZH26fcdTdwDG3DZlVv2+oWXSw30k66J+KzAFf9mPimGbD0NAC/PH3JVNOwbuCuYN9I+mgf0riVfO5Y+bA39o/553fJCmnutaGCNyGA66D/UZy18ku/gyAb0cafuHnAXxHjPH/2UbFuqyRTZlfpGX7e5lsSLaAqvsAcAf7reSuk118FGN8n5f/KIB/vU92sUO5CQFvcuwtCH1j6aDfudzXZBfvafU1+s+wW7lJDP0mpsE62URruInc9Pz+lt1J7mzThxC+G8B/BOAdgH975rhnO1X1g8tdE2huyvC7Bvm2rtsFwAbq/SZTVefj/isAL2OM37X2ol29v3/Zlqp+23K28Qv3t+ROMqXeb62XXQjhVwD4Yozx129wbP85dy33aa9vU/qbsTWZAv2dBtEIIXwTrX47gJ++S3ld7lEifR6bPOa6PUO5q03/Z0MIvxYpZPd/A1jrue/yCOSuNv22rtvlQaQPotFlc7lJXkCXB5c+iEaXu0sH9rOQPjBmly57Jh30XbrsmXTQd+myZ9JB36XLnkkHfZcueyYd9F267Jl00HfpsmfSQd+ly55JB32XLnsmD5WR9/8h5erfRn5pPv+h5CGv36/dr72p/GtTOx4k9/4uEkL4yRjjN+/j9fu1+7W3IV2979Jlz6SDvkuXPZOnCPrv3ePr92v3a99ZnpxN36VLl7vJU2T6Ll263EE66Lt02TN5kqAPIfyZEML/GUL4cgjhR0II/+oOr/3nQgg/na//QyGET3Z47d8fQvinIYQxhLCTMFII4QshhH8WQvhaCOG/3MU16drfH0L4+RDCV3Z83c+HEH4shPBT+Xn/sR1e+2UI4X8PIfzjfO3/eusXiTE+uQ+Aj2j5jwL473Z47d8F4CAvfw+A79nhtX8dgF8L4H8F8M07uN4CwD8H8KsBHAH4x0hTl+3qfn8rgN8I4Cu7uma+7i8H8Bvz8lsA/9eu7htpJMI3efkQwD8E8Ju3eY0nyfTxAafTijH+SIxxmVe/BOAbd3jtr8YY/9murgfgWwB8Lcb4L2KMVwD+BtJQ5zuRGOOPA/jFXV2PrvtzMcZ/lJc/APgqgG/Y0bVjjPEkrx7mz1bf7ycJeiBNpxVC+BkA/wGAP/lA1fhDAP6nB7r2LuQbAPwMrf8sdvTyPxYJIfxKAL8BiXF3dc1FCOHLSDNB/2iMcavXfrSgDyH8vRDCVxqfbweAGON3xhg/D+AHAPyRXV47H/OdAJb5+ju9dpfdSAjhDYAfBPCfOe3yXiXGuIox/ptIWuS3hBDWzhp1E3m0Q2DHGH/nhof+AIAvAlg7h962rh1C+A4A3wbgd8RsfO3q2juWfwng87T+jXnbs5cQwiES4H8gxvi3H6IOMcbPQgg/BuALALbmzHy0TD8nDzmdVgjhCwD+OIDfE2M829V1H0h+AsA3hRB+VQjhCMAfAPDDD1yne5cQQgDwfQC+GmP88zu+9tdLRCiEcAzgW7Hl9/tJZuSFEH4QyYtdptOKMe6EgUIIXwPwAsAv5E1fijHuZDqvEMLvBfCXAHw9gM8AfDnG+Lvv+Zr/DoC/gOTJ//4Y43ff5/Xctf86gN+O1MX0/wXwXTHG79vBdX8LgP8NwD9BescA4E/EGL+4g2v/GwD+KtLzHgD8rRjjn97qNZ4i6Lt06XJ7eZLqfZcuXW4vHfRduuyZdNB36bJn0kHfpcueSQd9ly57Jh30XbrsmXTQd+myZ/L/A8cqnCieVKrrAAAAAElFTkSuQmCC\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# j = 3/2\n", "viz_beam(spin_beam(basis(4,0,'y')))\n", "viz_beam(spin_beam(basis(4,1,'y')))\n", "viz_beam(spin_beam(basis(4,2,'y')))\n", "viz_beam(spin_beam(basis(4,3,'y')))" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# j = 3/2\n", "viz_beam(spin_beam(basis(4,0,'z')))\n", "viz_beam(spin_beam(basis(4,1,'z')))\n", "viz_beam(spin_beam(basis(4,2,'z')))\n", "viz_beam(spin_beam(basis(4,3,'z')))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And then, of course, we can consider arbitrary constellations:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "viz_spin_beam(qt.rand_ket(2))\n", "viz_spin_beam(qt.rand_ket(3))\n", "viz_spin_beam(qt.rand_ket(4))\n", "viz_spin_beam(qt.rand_ket(5))\n", "viz_spin_beam(qt.rand_ket(6))\n", "viz_spin_beam(qt.rand_ket(7))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, let's see them in motion! Given a spin and a Hamiltonian, the code below will evolve the spin bit by bit, calculating the associated SG beam each step of the way, and visualize everything as an animation." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "import matplotlib.animation as animation\n", "\n", "def animate_spin_beam(spin, H, dt=0.1, T=2*np.pi, size=3.5, n_samples=200, filename=None, fps=20):\n", " fig = plt.figure(figsize=plt.figaspect(0.5))\n", "\n", " bloch_ax = fig.add_subplot(1, 2, 1, projection='3d')\n", " sphere = qt.Bloch(fig=fig, axes=bloch_ax)\n", " sphere.point_size=[300]*(spin.shape[0]-1)\n", " sphere.make_sphere()\n", "\n", " beam_ax = fig.add_subplot(1, 2, 2)\n", " x = np.linspace(-size, size, n_samples)\n", " y = np.linspace(-size, size, n_samples)\n", " X, Y = np.meshgrid(x, y)\n", " Z = np.zeros(X.shape)\n", "\n", " U = (-1j*H*dt).expm()\n", " sphere_history = []\n", " beam_history = []\n", " steps = int(T/dt)\n", " for t in range(steps):\n", " if spin.shape[0] != 1:\n", " sphere_history.append(spin_xyz(spin))\n", " beam = spin_beam(spin)\n", " beam_history.append(beam(X, Y, Z))\n", " spin = U*spin\n", "\n", " sphere.make_sphere()\n", " im = beam_ax.imshow(colorize(beam_history[0]), interpolation=\"none\", extent=(-size,size,-size,size))\n", " \n", " def animate(t):\n", " if spin.shape[0] != 1:\n", " sphere.clear()\n", " sphere.add_points(sphere_history[t].T)\n", " sphere.add_vectors(sphere_history[t])\n", " sphere.make_sphere()\n", "\n", " im.set_array(colorize(beam_history[t])) \n", " return [bloch_ax, im]\n", "\n", " ani = animation.FuncAnimation(fig, animate, range(steps), repeat=False)\n", " if filename:\n", " ani.save(filename, fps=fps)\n", " return ani" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Check out the [beam vids](https://heyredhat.github.io/vids/beams): I've pre-generated animations systematically for spins of different $j$ value, visualizing both the stars and the beam profile for:\n", "\n", "- All X/Y/Z eigenstates, and how they transform under X/Y/Z rotations, as well as phase evolution (2D oscillator hamiltonian).\n", "- How a random constellation transforms under X/Y/Z rotations.\n", "- How a constellation whose stars should approximate a regular polyhedron transforms under X/Y/Z rotations (we allow randomly chosen stars to repel each other for a while until they settle into a nicely regular configuration).\n", "- How a random constellation transforms under a random Hamiltonian.\n", "\n", "Plus, some extra vids for fun. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "To conclude. You might be wondering about the applications of structured Gaussian beams. \n", "\n", "Well, from what I've heard: structured Gaussian beams can be used as \"optical tweezers\" to manipulate macroscopic particles, tweezing them into some desired location; they can be used to \"write optical waveguides into atomic vapors\"; to produce atomic traps, where atoms get attracted to regions of maximum or minimum light intensity; to make better telescopes; to increase the bandwidth of communication channels, e.g., using \"twisted radio beams,\" c.f. \"orbital angular momentum multiplexing\"; as qudits in photonic quantum computation; and much more.\n", "\n", "How to make them? Often one starts with a Gaussian beam, and there are various techniques to give the beam a \"twist\"-- see the links for more information! \n", "\n", "Finally, a little philosophy. It's clear that structured Gaussian beams have some practical value, and naturally they're of natural interest to us insofar as they represent yet another use of the Majorana stars. But I think most importantly, they show how tricky it is to cleanly separate the \"classical\" from the \"quantum\"-- the two are always locked in an endless embrace.\n", "\n", "Already, the Majorana stars formalism itself rides the border between classical and quantum in an interesting way. Essentially, one represents quantum spin-$j$ states in terms of $2j$ copies of the *classical* phase space of a spinning object. Moreover, thinking in terms of the \"coherent state wavefunction,\" we're representing a spin state in terms of a set of the \"most classical states\" it *isn't*. Moreover, the dynamics of a spin system can be reinterpreted as a classical evolution between particles (the stars) confined to the surface of the sphere, experiencing n-body forces whose weights depend on the particular Hamiltonian. \n", "\n", "But now we're taking this to the next level! Spin states can be embedded in the larger context of the 2D quantum harmonic oscillator, whose energy states miraculously correspond to the *classical* states of a light beam, so that now the Majorana constellations are picking out classical light beam states, which after second quantization, correspond to modes in which one can find fully quantum photons with some probability. \n", "\n", "Indeed, one might even say that a quantum structured Gaussian light beam could be regarded as the \"third quantization\" of a qubit:\n", "\n", "We start with a classical spinning object and first quantize it into a qubit. Then we second quantize the qubit to get all the higher representations of SU(2), which correspond to nothing more than *copies* of the original classical phase space, in terms of the 2D quantum harmonic oscillator. But these quantum states also correspond to classical solutions of the paraxial Maxwell's equations for a light beam. And so we quantize a third time, introducing a harmonic oscillator to each of those modes, which count the number of photons in those states, and end up with a fully quantum beam... \n", "\n", "It really makes you wonder: Could the states of the quantum beam correspond to the states of *yet another* classical system, allowing us to fourth quantize, and so on... One can dream. Ironically: in the progression, we start with a sphere (spin), then we end up on the plane (2D quantum harmonic oscillator), and finally, we end up with an (approximately) 1 dimensional beam. Maybe we should look for something 0 dimensional next! Food for thought!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References:\n", "\n", "[Modal Majorana sphere and hidden symmetries of structured-Gaussian beams](https://arxiv.org/abs/1901.06987) \n", "\n", "[Gaussian Beams](https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=&ved=2ahUKEwjQ_ZigzqPtAhWnQTABHZwdCA0QFjAFegQIBRAC&url=https%3A%2F%2Fwww.colgate.edu%2Fmedia%2F5371%2Fdownload&usg=AOvVaw3dMVH7k1JjDdFf9VVppDoI) \n", "\n", "[Representation of the quantum and classical states of light carrying orbital angular momentum](http://events.saip.org.za/getFile.py/access?contribId=365&sessionId=18&resId=0&materialId=paper&confId=7) \n", "\n", "[Quantum metrology at the limit with extremal Majorana constellations](https://arxiv.org/abs/1612.06804) \n", "\n", "[Swings and roundabouts: Optical Poincare spheres for polarization and Gaussian beams](https://arxiv.org/abs/1611.10245) \n", "\n", "[Geometric phases in 2D and 3D polarized fields: geometrical, dynamical, and topological aspects](https://arxiv.org/abs/1903.01304) \n", "\n", "[Generalized Gaussian beams in terms of Jones vectors](https://arxiv.org/abs/1908.01363)\n", "\n", "https://en.wikipedia.org/wiki/Gaussian_beam\n", "\n", "https://en.wikipedia.org/wiki/Orbital_angular_momentum_of_light\n", "\n", "https://en.wikipedia.org/wiki/Optical_vortex\n", "\n", "http://www.nhn.ou.edu/~abe/research/lgbeams/" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 4 }