{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Import supporting package" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import copy\n", "import glob\n", "from datetime import datetime\n", "\n", "# The package for data structure\n", "import xarray as xr\n", "import pandas as pd\n", "import numpy as np\n", "\n", "# The packages for working with uncertainties\n", "from uncertainties import ufloat\n", "from uncertainties import unumpy as unp\n", "from uncertainties import umath\n", "\n", "# The package for plotting\n", "import matplotlib.pyplot as plt\n", "plt.rcParams['font.size'] = 18 # Set the global font size\n", "\n", "# -------------- The modules written by us --------------\n", "\n", "# The packages for read data\n", "from DataContainer.ReadData import read_hdf5_file, read_hdf5_global, read_hdf5_run_time, read_csv_file\n", "\n", "# The packages for data analysis\n", "from Analyser.ImagingAnalyser import ImageAnalyser\n", "from Analyser.FitAnalyser import FitAnalyser\n", "from Analyser.FitAnalyser import ThomasFermi2dModel, DensityProfileBEC2dModel, Polylog22dModel\n", "from Analyser.FFTAnalyser import fft, ifft, fft_nutou\n", "from ToolFunction.ToolFunction import *\n", "\n", "# Add errorbar plot to xarray package\n", "from ToolFunction.HomeMadeXarrayFunction import errorbar, dataarray_plot_errorbar\n", "xr.plot.dataarray_plot.errorbar = errorbar\n", "xr.plot.accessor.DataArrayPlotAccessor.errorbar = dataarray_plot_errorbar" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Start a client for parallel computing" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\data\\AppData\\Roaming\\Python\\Python39\\site-packages\\distributed\\node.py:182: UserWarning: Port 8787 is already in use.\n", "Perhaps you already have a cluster running?\n", "Hosting the HTTP server on port 57804 instead\n", " warnings.warn(\n" ] }, { "data": { "text/html": [ "
\n", "
\n", "
\n", "

Client

\n", "

Client-dfee8bd5-35d5-11ee-960c-80e82ce2fa8e

\n", " \n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", "
Connection method: Cluster objectCluster type: distributed.LocalCluster
\n", " Dashboard: http://127.0.0.1:57804/status\n", "
\n", "\n", " \n", "\n", " \n", "
\n", "

Cluster Info

\n", "
\n", "
\n", "
\n", "
\n", "

LocalCluster

\n", "

162c46da

\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", "\n", " \n", "
\n", " Dashboard: http://127.0.0.1:57804/status\n", " \n", " Workers: 6\n", "
\n", " Total threads: 60\n", " \n", " Total memory: 55.88 GiB\n", "
Status: runningUsing processes: True
\n", "\n", "
\n", " \n", "

Scheduler Info

\n", "
\n", "\n", "
\n", "
\n", "
\n", "
\n", "

Scheduler

\n", "

Scheduler-b1db6959-375b-4ed2-9a77-02ce7ec59048

\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
\n", " Comm: tcp://127.0.0.1:57807\n", " \n", " Workers: 6\n", "
\n", " Dashboard: http://127.0.0.1:57804/status\n", " \n", " Total threads: 60\n", "
\n", " Started: Just now\n", " \n", " Total memory: 55.88 GiB\n", "
\n", "
\n", "
\n", "\n", "
\n", " \n", "

Workers

\n", "
\n", "\n", " \n", "
\n", "
\n", "
\n", "
\n", " \n", "

Worker: 0

\n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", " \n", "\n", " \n", "\n", "
\n", " Comm: tcp://127.0.0.1:57846\n", " \n", " Total threads: 10\n", "
\n", " Dashboard: http://127.0.0.1:57847/status\n", " \n", " Memory: 9.31 GiB\n", "
\n", " Nanny: tcp://127.0.0.1:57810\n", "
\n", " Local directory: C:\\Users\\data\\AppData\\Local\\Temp\\dask-worker-space\\worker-o0fweh8b\n", "
\n", "
\n", "
\n", "
\n", " \n", "
\n", "
\n", "
\n", "
\n", " \n", "

Worker: 1

\n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", " \n", "\n", " \n", "\n", "
\n", " Comm: tcp://127.0.0.1:57840\n", " \n", " Total threads: 10\n", "
\n", " Dashboard: http://127.0.0.1:57842/status\n", " \n", " Memory: 9.31 GiB\n", "
\n", " Nanny: tcp://127.0.0.1:57811\n", "
\n", " Local directory: C:\\Users\\data\\AppData\\Local\\Temp\\dask-worker-space\\worker-toa8_m6l\n", "
\n", "
\n", "
\n", "
\n", " \n", "
\n", "
\n", "
\n", "
\n", " \n", "

Worker: 2

\n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", " \n", "\n", " \n", "\n", "
\n", " Comm: tcp://127.0.0.1:57834\n", " \n", " Total threads: 10\n", "
\n", " Dashboard: http://127.0.0.1:57835/status\n", " \n", " Memory: 9.31 GiB\n", "
\n", " Nanny: tcp://127.0.0.1:57812\n", "
\n", " Local directory: C:\\Users\\data\\AppData\\Local\\Temp\\dask-worker-space\\worker-_6d2fpz3\n", "
\n", "
\n", "
\n", "
\n", " \n", "
\n", "
\n", "
\n", "
\n", " \n", "

Worker: 3

\n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", " \n", "\n", " \n", "\n", "
\n", " Comm: tcp://127.0.0.1:57837\n", " \n", " Total threads: 10\n", "
\n", " Dashboard: http://127.0.0.1:57838/status\n", " \n", " Memory: 9.31 GiB\n", "
\n", " Nanny: tcp://127.0.0.1:57813\n", "
\n", " Local directory: C:\\Users\\data\\AppData\\Local\\Temp\\dask-worker-space\\worker-jquysjj5\n", "
\n", "
\n", "
\n", "
\n", " \n", "
\n", "
\n", "
\n", "
\n", " \n", "

Worker: 4

\n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", " \n", "\n", " \n", "\n", "
\n", " Comm: tcp://127.0.0.1:57849\n", " \n", " Total threads: 10\n", "
\n", " Dashboard: http://127.0.0.1:57850/status\n", " \n", " Memory: 9.31 GiB\n", "
\n", " Nanny: tcp://127.0.0.1:57814\n", "
\n", " Local directory: C:\\Users\\data\\AppData\\Local\\Temp\\dask-worker-space\\worker-okg6p_4_\n", "
\n", "
\n", "
\n", "
\n", " \n", "
\n", "
\n", "
\n", "
\n", " \n", "

Worker: 5

\n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", " \n", "\n", " \n", "\n", "
\n", " Comm: tcp://127.0.0.1:57841\n", " \n", " Total threads: 10\n", "
\n", " Dashboard: http://127.0.0.1:57843/status\n", " \n", " Memory: 9.31 GiB\n", "
\n", " Nanny: tcp://127.0.0.1:57815\n", "
\n", " Local directory: C:\\Users\\data\\AppData\\Local\\Temp\\dask-worker-space\\worker-iszz7udd\n", "
\n", "
\n", "
\n", "
\n", " \n", "\n", "
\n", "
\n", "\n", "
\n", "
\n", "
\n", "
\n", " \n", "\n", "
\n", "
" ], "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from dask.distributed import Client\n", "client = Client(n_workers=6, threads_per_worker=10, processes=True, memory_limit='10GB')\n", "client" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Load Data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## With Modulation" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
<xarray.DataArray 'CH1' (x: 6000000)>\n",
       "array([0.329, 0.317, 0.309, ..., 0.293, 0.305, 0.309])\n",
       "Coordinates:\n",
       "  * x        (x) float64 0.0 2e-06 4e-06 6e-06 8e-06 ... 12.0 12.0 12.0 12.0
" ], "text/plain": [ "\n", "array([0.329, 0.317, 0.309, ..., 0.293, 0.305, 0.309])\n", "Coordinates:\n", " * x (x) float64 0.0 2e-06 4e-06 6e-06 8e-06 ... 12.0 12.0 12.0 12.0" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "filePath = r'F:\\Jianshun\\AccordionLatticeShorTermStability\\20230808\\withModulation.csv'\n", "\n", "data = read_csv_file(filePath, csvEngine='pandas', csvKwargs=dict(header=[0], skiprows=[1], encoding = \"ISO-8859-1\",))\n", "dataWithModulation = xr.DataArray(\n", " data=data.CH1[0,:],\n", " dims=['x'],\n", " coords=dict(\n", " x=data.X[0,:].to_numpy() * 2e-6\n", " )\n", ")\n", "dataWithModulation" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dataWithModulation.plot.errorbar()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "dataWithModulation = dataWithModulation - dataWithModulation.mean()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = fig.gca()\n", "\n", "dataWithModulation.plot.errorbar(ax=ax)\n", "# ax.set_xlim([0.5, 1])\n", "# ax.set_ylim([0, 0.25])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "dataWithModulationFFT = fft(dataWithModulation)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = fig.gca()\n", "\n", "abs(dataWithModulationFFT).plot.errorbar(ax=ax, x='freq_x')\n", "ax.set_xlim([0, 500])\n", "# ax.set_ylim([0, 0.25])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Without Modulation" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
<xarray.DataArray 'CH1' (x: 6000000)>\n",
       "array([0.501, 0.485, 0.473, ..., 0.501, 0.485, 0.477])\n",
       "Coordinates:\n",
       "  * x        (x) float64 0.0 2e-06 4e-06 6e-06 8e-06 ... 12.0 12.0 12.0 12.0
" ], "text/plain": [ "\n", "array([0.501, 0.485, 0.473, ..., 0.501, 0.485, 0.477])\n", "Coordinates:\n", " * x (x) float64 0.0 2e-06 4e-06 6e-06 8e-06 ... 12.0 12.0 12.0 12.0" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "filePath = r'F:\\Jianshun\\AccordionLatticeShorTermStability\\20230808\\withoutModulation.csv'\n", "\n", "data = read_csv_file(filePath, csvEngine='pandas', csvKwargs=dict(header=[0], skiprows=[1], encoding = \"ISO-8859-1\",))\n", "dataWithoutModulation = xr.DataArray(\n", " data=data.CH1[0,:],\n", " dims=['x'],\n", " coords=dict(\n", " x=data.X[0,:].to_numpy() * 2e-6\n", " )\n", ")\n", "dataWithoutModulation" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dataWithoutModulation.plot.errorbar()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "dataWithoutModulation = dataWithoutModulation - dataWithoutModulation.mean()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = fig.gca()\n", "\n", "dataWithoutModulation.plot.errorbar(ax=ax)\n", "# ax.set_xlim([0.5, 1])\n", "# ax.set_ylim([0, 0.25])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "dataWithoutModulationFFT = fft(dataWithoutModulation)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = fig.gca()\n", "\n", "abs(dataWithoutModulationFFT).plot.errorbar(ax=ax, x='freq_x')\n", "ax.set_xlim([0, 50e3])\n", "# ax.set_ylim([0, 0.25])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Data analyse" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Transform intensity to phase" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "from Analyser.FitAnalyser import NewFitModel" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "def sine_with_offset(x, amplitude=1.0, frequency=1.0, shift=0.0, offset=0.0):\n", " \"\"\"Return a sinusoidal function.\n", "\n", " sine(x, amplitude, frequency, shift) =\n", " amplitude * sin(x*frequency + shift)\n", "\n", " \"\"\"\n", " return amplitude*np.sin(x*frequency + shift) + offset" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "fitModel = NewFitModel(sine_with_offset)\n", "fitAnalyser = FitAnalyser(fitModel, fitDim=1)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "params = fitAnalyser.fitModel.make_params()\n", "params.add(name=\"amplitude\", value= 0.2, max=np.inf, min=0, vary=True)\n", "params.add(name=\"frequency\", value= 1*2*np.pi, max=np.inf, min=0, vary=True)\n", "params.add(name=\"shift\", value= np.pi/2, max=2*np.pi, min=0, vary=True)\n", "params.add(name=\"offset\", value= 0, max=np.inf, min=-np.inf, vary=True)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [], "source": [ "# param = fitAnalyser.guess(dataWithModulation)\n", "fitResult = fitAnalyser.fit(\n", " dataWithModulation.where(-0.1" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = fig.gca()\n", "dataWithModulation.plot.errorbar(ax=ax)\n", "fitCurve.plot.errorbar(ax=ax)\n", "ax.plot([0, 12.5], [0.1, 0.1], 'r--')\n", "ax.plot([0, 12.5], [-0.1, -0.1], 'r--')\n", "plt.xlabel('t (s)')\n", "plt.ylabel('PD signal (V)')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
<xarray.Dataset>\n",
       "Dimensions:    ()\n",
       "Data variables:\n",
       "    amplitude  float64 0.2026\n",
       "    frequency  float64 6.283\n",
       "    shift      float64 3.003\n",
       "    offset     float64 2.599e-06
" ], "text/plain": [ "\n", "Dimensions: ()\n", "Data variables:\n", " amplitude float64 0.2026\n", " frequency float64 6.283\n", " shift float64 3.003\n", " offset float64 2.599e-06" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "val = fitAnalyser.get_fit_value(fitResult)\n", "val" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [], "source": [ "def voltage_to_phase(voltage):\n", " # voltage = (voltage - val.offset)\n", " # voltage = voltage / val.amplitude\n", " voltage_frac, b= np.modf(voltage.to_numpy())\n", " voltage = xr.where(np.abs(voltage) > 1, np.arcsin(voltage_frac) + np.trunc(voltage) * np.pi, np.arcsin(voltage))\n", " voltage = np.arcsin(voltage)\n", " return voltage" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [], "source": [ "def autocorr(x):\n", " result = np.correlate(x, x, mode='full')\n", " return result[len(result)//2:]" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [], "source": [ "def get_noise_spectrum(data):\n", " data = data - data.mean()\n", " dataAutoCorr = autocorr(data)\n", " dataAutoCorr = xr.DataArray(\n", " data=dataAutoCorr,\n", " dims=['x'],\n", " coords=dict(\n", " x=data.x\n", " )\n", " )\n", " \n", " dataNoiseSpec = fft(dataAutoCorr)\n", " \n", " return dataNoiseSpec\n", " " ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [], "source": [ "phaseWithoutModulation = voltage_to_phase(dataWithoutModulation)" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = fig.gca()\n", "\n", "(phaseWithoutModulation/np.pi).plot.errorbar(ax=ax)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [], "source": [ "noiseWithoutModulation = get_noise_spectrum(phaseWithoutModulation)" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
<xarray.DataArray (freq_x: 6000000)>\n",
       "array([0.00146663-2.99062180e-13j, 0.00146904+2.91230736e-06j,\n",
       "       0.00146276+5.40701190e-06j, ..., 0.00146716+7.80786951e-06j,\n",
       "       0.00146276-5.40701190e-06j, 0.00146904-2.91230736e-06j])\n",
       "Coordinates:\n",
       "  * freq_x   (freq_x) float64 -2.5e+05 -2.5e+05 -2.5e+05 ... 2.5e+05 2.5e+05
" ], "text/plain": [ "\n", "array([0.00146663-2.99062180e-13j, 0.00146904+2.91230736e-06j,\n", " 0.00146276+5.40701190e-06j, ..., 0.00146716+7.80786951e-06j,\n", " 0.00146276-5.40701190e-06j, 0.00146904-2.91230736e-06j])\n", "Coordinates:\n", " * freq_x (freq_x) float64 -2.5e+05 -2.5e+05 -2.5e+05 ... 2.5e+05 2.5e+05" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "noiseWithoutModulation" ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = fig.gca()\n", "\n", "abs(noiseWithoutModulation).plot.errorbar(ax=ax)\n", "\n", "# plt.xlim([25, 100e3])\n", "plt.xlim([0, 250e3])\n", "plt.ylim([0, 4])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "250.0\n", "0.08333333333333333\n" ] } ], "source": [ "dt = 2e-6\n", "samplingFreq = 1/ dt\n", "blockLength = 6e6\n", "df = samplingFreq / blockLength\n", "print(samplingFreq / 2 / 1e3)\n", "print(df)" ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[5, 4, 3, 2, 1, 0]\n" ] } ], "source": [ "print(list(range(5, -1 ,-1)))" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "base", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.12" }, "orig_nbformat": 4 }, "nbformat": 4, "nbformat_minor": 2 }