{ "cells": [ { "cell_type": "markdown", "id": "7afa667a", "metadata": { "papermill": { "duration": 0.002552, "end_time": "2025-01-31T05:10:06.660694", "exception": false, "start_time": "2025-01-31T05:10:06.658142", "status": "completed" }, "tags": [] }, "source": [ "# Loop API Example on Hartmann6\n", "\n", "The loop API is the most lightweight way to do optimization in Ax. The user makes one call to `optimize`, which performs all of the optimization under the hood and returns the optimized parameters.\n", "\n", "For more customizability of the optimization procedure, consider the Service or Developer API." ] }, { "cell_type": "code", "execution_count": 1, "id": "1e1badad", "metadata": { "execution": { "iopub.execute_input": "2025-01-31T05:10:06.666539Z", "iopub.status.busy": "2025-01-31T05:10:06.666271Z", "iopub.status.idle": "2025-01-31T05:10:09.435122Z", "shell.execute_reply": "2025-01-31T05:10:09.434244Z" }, "papermill": { "duration": 2.792354, "end_time": "2025-01-31T05:10:09.455286", "exception": false, "start_time": "2025-01-31T05:10:06.662932", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "text/html": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:10:09] ax.utils.notebook.plotting: Injecting Plotly library into cell. Do not overwrite or delete cell.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:10:09] ax.utils.notebook.plotting: Please see\n", " (https://ax.dev/tutorials/visualizations.html#Fix-for-plots-that-are-not-rendering)\n", " if visualizations are not rendering.\n" ] }, { "data": { "text/html": [ " \n", " \n", " " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from ax.metrics.branin import branin\n", "\n", "from ax.plot.contour import plot_contour\n", "from ax.plot.trace import optimization_trace_single_method\n", "from ax.service.managed_loop import optimize\n", "from ax.utils.measurement.synthetic_functions import hartmann6\n", "from ax.utils.notebook.plotting import init_notebook_plotting, render\n", "\n", "init_notebook_plotting()" ] }, { "cell_type": "markdown", "id": "492dab27", "metadata": { "papermill": { "duration": 0.039738, "end_time": "2025-01-31T05:10:09.535378", "exception": false, "start_time": "2025-01-31T05:10:09.495640", "status": "completed" }, "tags": [] }, "source": [ "## 1. Define evaluation function\n", "\n", "First, we define an evaluation function that is able to compute all the metrics needed for this experiment. This function needs to accept a set of parameter values and can also accept a weight. It should produce a dictionary of metric names to tuples of mean and standard error for those metrics." ] }, { "cell_type": "code", "execution_count": 2, "id": "195f698e", "metadata": { "execution": { "iopub.execute_input": "2025-01-31T05:10:09.616832Z", "iopub.status.busy": "2025-01-31T05:10:09.616156Z", "iopub.status.idle": "2025-01-31T05:10:09.620573Z", "shell.execute_reply": "2025-01-31T05:10:09.619962Z" }, "papermill": { "duration": 0.047015, "end_time": "2025-01-31T05:10:09.621881", "exception": false, "start_time": "2025-01-31T05:10:09.574866", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "def hartmann_evaluation_function(parameterization):\n", " x = np.array([parameterization.get(f\"x{i+1}\") for i in range(6)])\n", " # In our case, standard error is 0, since we are computing a synthetic function.\n", " return {\"hartmann6\": (hartmann6(x), 0.0), \"l2norm\": (np.sqrt((x**2).sum()), 0.0)}" ] }, { "cell_type": "markdown", "id": "b75ecc05", "metadata": { "papermill": { "duration": 0.039645, "end_time": "2025-01-31T05:10:09.701404", "exception": false, "start_time": "2025-01-31T05:10:09.661759", "status": "completed" }, "tags": [] }, "source": [ "If there is only one metric in the experiment – the objective – then evaluation function can return a single tuple of mean and SEM, in which case Ax will assume that evaluation corresponds to the objective. It can also return only the mean as a float, in which case Ax will treat SEM as unknown and use a model that can infer it. For more details on evaluation function, refer to the \"Trial Evaluation\" section in the docs." ] }, { "cell_type": "markdown", "id": "d8112efb", "metadata": { "papermill": { "duration": 0.039965, "end_time": "2025-01-31T05:10:09.780908", "exception": false, "start_time": "2025-01-31T05:10:09.740943", "status": "completed" }, "tags": [] }, "source": [ "## 2. Run optimization\n", "The setup for the loop is fully compatible with JSON. The optimization algorithm is selected based on the properties of the problem search space." ] }, { "cell_type": "code", "execution_count": 3, "id": "ba4295d2", "metadata": { "execution": { "iopub.execute_input": "2025-01-31T05:10:09.862246Z", "iopub.status.busy": "2025-01-31T05:10:09.861787Z", "iopub.status.idle": "2025-01-31T05:12:32.544698Z", "shell.execute_reply": "2025-01-31T05:12:32.543326Z" }, "papermill": { "duration": 142.726024, "end_time": "2025-01-31T05:12:32.547006", "exception": false, "start_time": "2025-01-31T05:10:09.820982", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:10:09] ax.service.utils.instantiation: Inferred value type of ParameterType.FLOAT for parameter x2. If that is not the expected value type, you can explicitly specify 'value_type' ('int', 'float', 'bool' or 'str') in parameter dict.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:10:09] ax.service.utils.instantiation: Inferred value type of ParameterType.FLOAT for parameter x3. If that is not the expected value type, you can explicitly specify 'value_type' ('int', 'float', 'bool' or 'str') in parameter dict.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:10:09] ax.service.utils.instantiation: Inferred value type of ParameterType.FLOAT for parameter x4. If that is not the expected value type, you can explicitly specify 'value_type' ('int', 'float', 'bool' or 'str') in parameter dict.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:10:09] ax.service.utils.instantiation: Inferred value type of ParameterType.FLOAT for parameter x5. If that is not the expected value type, you can explicitly specify 'value_type' ('int', 'float', 'bool' or 'str') in parameter dict.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:10:09] ax.service.utils.instantiation: Inferred value type of ParameterType.FLOAT for parameter x6. If that is not the expected value type, you can explicitly specify 'value_type' ('int', 'float', 'bool' or 'str') in parameter dict.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:10:09] ax.service.utils.instantiation: Created search space: SearchSpace(parameters=[RangeParameter(name='x1', parameter_type=FLOAT, range=[0.0, 1.0]), RangeParameter(name='x2', parameter_type=FLOAT, range=[0.0, 1.0]), RangeParameter(name='x3', parameter_type=FLOAT, range=[0.0, 1.0]), RangeParameter(name='x4', parameter_type=FLOAT, range=[0.0, 1.0]), RangeParameter(name='x5', parameter_type=FLOAT, range=[0.0, 1.0]), RangeParameter(name='x6', parameter_type=FLOAT, range=[0.0, 1.0])], parameter_constraints=[ParameterConstraint(1.0*x1 + 1.0*x2 <= 20.0)]).\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:10:09] ax.modelbridge.dispatch_utils: Using Models.BOTORCH_MODULAR since there is at least one ordered parameter and there are no unordered categorical parameters.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:10:09] ax.modelbridge.dispatch_utils: Calculating the number of remaining initialization trials based on num_initialization_trials=None max_initialization_trials=None num_tunable_parameters=6 num_trials=None use_batch_trials=False\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:10:09] ax.modelbridge.dispatch_utils: calculated num_initialization_trials=12\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:10:09] ax.modelbridge.dispatch_utils: num_completed_initialization_trials=0 num_remaining_initialization_trials=12\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:10:09] ax.modelbridge.dispatch_utils: `verbose`, `disable_progbar`, and `jit_compile` are not yet supported when using `choose_generation_strategy` with ModularBoTorchModel, dropping these arguments.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:10:09] ax.modelbridge.dispatch_utils: Using Bayesian Optimization generation strategy: GenerationStrategy(name='Sobol+BoTorch', steps=[Sobol for 12 trials, BoTorch for subsequent trials]). Iterations after 12 will take longer to generate due to model-fitting.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:10:09] ax.service.managed_loop: Started full optimization with 30 steps.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:10:09] ax.service.managed_loop: Running optimization trial 1...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.8SPGnWMU26/Ax-main/ax/modelbridge/cross_validation.py:439: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 01-31 05:10:09] ax.service.managed_loop: Running optimization trial 2...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.8SPGnWMU26/Ax-main/ax/modelbridge/cross_validation.py:439: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 01-31 05:10:09] ax.service.managed_loop: Running optimization trial 3...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.8SPGnWMU26/Ax-main/ax/modelbridge/cross_validation.py:439: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 01-31 05:10:09] ax.service.managed_loop: Running optimization trial 4...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.8SPGnWMU26/Ax-main/ax/modelbridge/cross_validation.py:439: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 01-31 05:10:09] ax.service.managed_loop: Running optimization trial 5...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.8SPGnWMU26/Ax-main/ax/modelbridge/cross_validation.py:439: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 01-31 05:10:09] ax.service.managed_loop: Running optimization trial 6...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.8SPGnWMU26/Ax-main/ax/modelbridge/cross_validation.py:439: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 01-31 05:10:09] ax.service.managed_loop: Running optimization trial 7...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.8SPGnWMU26/Ax-main/ax/modelbridge/cross_validation.py:439: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 01-31 05:10:09] ax.service.managed_loop: Running optimization trial 8...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.8SPGnWMU26/Ax-main/ax/modelbridge/cross_validation.py:439: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 01-31 05:10:10] ax.service.managed_loop: Running optimization trial 9...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.8SPGnWMU26/Ax-main/ax/modelbridge/cross_validation.py:439: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 01-31 05:10:10] ax.service.managed_loop: Running optimization trial 10...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.8SPGnWMU26/Ax-main/ax/modelbridge/cross_validation.py:439: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n", "[INFO 01-31 05:10:10] ax.service.managed_loop: Running optimization trial 11...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.8SPGnWMU26/Ax-main/ax/modelbridge/cross_validation.py:439: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:10:10] ax.service.managed_loop: Running optimization trial 12...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/tmp.8SPGnWMU26/Ax-main/ax/modelbridge/cross_validation.py:439: UserWarning:\n", "\n", "Encountered exception in computing model fit quality: RandomModelBridge does not support prediction.\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:10:10] ax.service.managed_loop: Running optimization trial 13...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:10:15] ax.service.managed_loop: Running optimization trial 14...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:10:21] ax.service.managed_loop: Running optimization trial 15...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:10:28] ax.service.managed_loop: Running optimization trial 16...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:10:36] ax.service.managed_loop: Running optimization trial 17...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:10:48] ax.service.managed_loop: Running optimization trial 18...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:10:54] ax.service.managed_loop: Running optimization trial 19...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:11:01] ax.service.managed_loop: Running optimization trial 20...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:11:09] ax.service.managed_loop: Running optimization trial 21...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:11:19] ax.service.managed_loop: Running optimization trial 22...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:11:25] ax.service.managed_loop: Running optimization trial 23...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:11:33] ax.service.managed_loop: Running optimization trial 24...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:11:41] ax.service.managed_loop: Running optimization trial 25...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:11:47] ax.service.managed_loop: Running optimization trial 26...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:11:57] ax.service.managed_loop: Running optimization trial 27...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:12:04] ax.service.managed_loop: Running optimization trial 28...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:12:10] ax.service.managed_loop: Running optimization trial 29...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 01-31 05:12:22] ax.service.managed_loop: Running optimization trial 30...\n" ] } ], "source": [ "best_parameters, values, experiment, model = optimize(\n", " parameters=[\n", " {\n", " \"name\": \"x1\",\n", " \"type\": \"range\",\n", " \"bounds\": [0.0, 1.0],\n", " \"value_type\": \"float\", # Optional, defaults to inference from type of \"bounds\".\n", " \"log_scale\": False, # Optional, defaults to False.\n", " },\n", " {\n", " \"name\": \"x2\",\n", " \"type\": \"range\",\n", " \"bounds\": [0.0, 1.0],\n", " },\n", " {\n", " \"name\": \"x3\",\n", " \"type\": \"range\",\n", " \"bounds\": [0.0, 1.0],\n", " },\n", " {\n", " \"name\": \"x4\",\n", " \"type\": \"range\",\n", " \"bounds\": [0.0, 1.0],\n", " },\n", " {\n", " \"name\": \"x5\",\n", " \"type\": \"range\",\n", " \"bounds\": [0.0, 1.0],\n", " },\n", " {\n", " \"name\": \"x6\",\n", " \"type\": \"range\",\n", " \"bounds\": [0.0, 1.0],\n", " },\n", " ],\n", " experiment_name=\"test\",\n", " objective_name=\"hartmann6\",\n", " evaluation_function=hartmann_evaluation_function,\n", " minimize=True, # Optional, defaults to False.\n", " parameter_constraints=[\"x1 + x2 <= 20\"], # Optional.\n", " outcome_constraints=[\"l2norm <= 1.25\"], # Optional.\n", " total_trials=30, # Optional.\n", ")" ] }, { "cell_type": "markdown", "id": "427b7564", "metadata": { "papermill": { "duration": 0.056526, "end_time": "2025-01-31T05:12:32.673736", "exception": false, "start_time": "2025-01-31T05:12:32.617210", "status": "completed" }, "tags": [] }, "source": [ "And we can introspect optimization results:" ] }, { "cell_type": "code", "execution_count": 4, "id": "11b86fdd", "metadata": { "execution": { "iopub.execute_input": "2025-01-31T05:12:32.761694Z", "iopub.status.busy": "2025-01-31T05:12:32.761026Z", "iopub.status.idle": "2025-01-31T05:12:32.767687Z", "shell.execute_reply": "2025-01-31T05:12:32.767051Z" }, "papermill": { "duration": 0.05166, "end_time": "2025-01-31T05:12:32.769020", "exception": false, "start_time": "2025-01-31T05:12:32.717360", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "{'x1': 0.21210469693083644,\n", " 'x2': 0.1366575022175512,\n", " 'x3': 0.4652547123629328,\n", " 'x4': 0.2683114775883736,\n", " 'x5': 0.3179263329142604,\n", " 'x6': 0.6554217712752815}" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "best_parameters" ] }, { "cell_type": "code", "execution_count": 5, "id": "fe62b6b5", "metadata": { "execution": { "iopub.execute_input": "2025-01-31T05:12:32.854870Z", "iopub.status.busy": "2025-01-31T05:12:32.854357Z", "iopub.status.idle": "2025-01-31T05:12:32.859293Z", "shell.execute_reply": "2025-01-31T05:12:32.858750Z" }, "papermill": { "duration": 0.049568, "end_time": "2025-01-31T05:12:32.860567", "exception": false, "start_time": "2025-01-31T05:12:32.810999", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "{'l2norm': 0.9395218616825999, 'hartmann6': -3.314126920575254}" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "means, covariances = values\n", "means" ] }, { "cell_type": "markdown", "id": "af9a6bf7", "metadata": { "papermill": { "duration": 0.042005, "end_time": "2025-01-31T05:12:32.944901", "exception": false, "start_time": "2025-01-31T05:12:32.902896", "status": "completed" }, "tags": [] }, "source": [ "For comparison, minimum of Hartmann6 is:" ] }, { "cell_type": "code", "execution_count": 6, "id": "f830cd3f", "metadata": { "execution": { "iopub.execute_input": "2025-01-31T05:12:33.031246Z", "iopub.status.busy": "2025-01-31T05:12:33.030943Z", "iopub.status.idle": "2025-01-31T05:12:33.035397Z", "shell.execute_reply": "2025-01-31T05:12:33.034749Z" }, "papermill": { "duration": 0.049207, "end_time": "2025-01-31T05:12:33.036736", "exception": false, "start_time": "2025-01-31T05:12:32.987529", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "-3.32237" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hartmann6.fmin" ] }, { "cell_type": "markdown", "id": "c6834f88", "metadata": { "papermill": { "duration": 0.046773, "end_time": "2025-01-31T05:12:33.125825", "exception": false, "start_time": "2025-01-31T05:12:33.079052", "status": "completed" }, "tags": [] }, "source": [ "## 3. Plot results\n", "Here we arbitrarily select \"x1\" and \"x2\" as the two parameters to plot for both metrics, \"hartmann6\" and \"l2norm\"." ] }, { "cell_type": "code", "execution_count": 7, "id": "86a89d32", "metadata": { "execution": { "iopub.execute_input": "2025-01-31T05:12:33.216644Z", "iopub.status.busy": "2025-01-31T05:12:33.216161Z", "iopub.status.idle": "2025-01-31T05:12:33.777628Z", "shell.execute_reply": "2025-01-31T05:12:33.776495Z" }, "papermill": { "duration": 0.629476, "end_time": "2025-01-31T05:12:33.801085", "exception": false, "start_time": "2025-01-31T05:12:33.171609", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "linkText": "Export to plot.ly", "plotlyServerURL": "https://plot.ly", "showLink": false }, "data": [ { "autocolorscale": false, "autocontour": true, "colorbar": { "tickfont": { "size": 8 }, "ticksuffix": "", "x": 0.45, "y": 0.5 }, "colorscale": [ [ 0.0, "rgb(247,252,253)" ], [ 0.125, "rgb(229,245,249)" ], [ 0.25, "rgb(204,236,230)" ], [ 0.375, "rgb(153,216,201)" ], [ 0.5, "rgb(102,194,164)" ], [ 0.625, "rgb(65,174,118)" ], [ 0.75, "rgb(35,139,69)" ], [ 0.875, "rgb(0,109,44)" ], [ 1.0, "rgb(0,68,27)" ] ], "contours": { "coloring": "heatmap" }, "hoverinfo": "x+y+z", "ncontours": 25, "type": "contour", "x": [ 0.0, 0.02040816326530612, 0.04081632653061224, 0.061224489795918366, 0.08163265306122448, 0.1020408163265306, 0.12244897959183673, 0.14285714285714285, 0.16326530612244897, 0.18367346938775508, 0.2040816326530612, 0.22448979591836732, 0.24489795918367346, 0.26530612244897955, 0.2857142857142857, 0.3061224489795918, 0.32653061224489793, 0.3469387755102041, 0.36734693877551017, 0.3877551020408163, 0.4081632653061224, 0.42857142857142855, 0.44897959183673464, 0.4693877551020408, 0.4897959183673469, 0.5102040816326531, 0.5306122448979591, 0.5510204081632653, 0.5714285714285714, 0.5918367346938775, 0.6122448979591836, 0.6326530612244897, 0.6530612244897959, 0.673469387755102, 0.6938775510204082, 0.7142857142857142, 0.7346938775510203, 0.7551020408163265, 0.7755102040816326, 0.7959183673469387, 0.8163265306122448, 0.836734693877551, 0.8571428571428571, 0.8775510204081632, 0.8979591836734693, 0.9183673469387754, 0.9387755102040816, 0.9591836734693877, 0.9795918367346939, 1.0 ], "xaxis": "x", "y": [ 0.0, 0.02040816326530612, 0.04081632653061224, 0.061224489795918366, 0.08163265306122448, 0.1020408163265306, 0.12244897959183673, 0.14285714285714285, 0.16326530612244897, 0.18367346938775508, 0.2040816326530612, 0.22448979591836732, 0.24489795918367346, 0.26530612244897955, 0.2857142857142857, 0.3061224489795918, 0.32653061224489793, 0.3469387755102041, 0.36734693877551017, 0.3877551020408163, 0.4081632653061224, 0.42857142857142855, 0.44897959183673464, 0.4693877551020408, 0.4897959183673469, 0.5102040816326531, 0.5306122448979591, 0.5510204081632653, 0.5714285714285714, 0.5918367346938775, 0.6122448979591836, 0.6326530612244897, 0.6530612244897959, 0.673469387755102, 0.6938775510204082, 0.7142857142857142, 0.7346938775510203, 0.7551020408163265, 0.7755102040816326, 0.7959183673469387, 0.8163265306122448, 0.836734693877551, 0.8571428571428571, 0.8775510204081632, 0.8979591836734693, 0.9183673469387754, 0.9387755102040816, 0.9591836734693877, 0.9795918367346939, 1.0 ], "yaxis": "y", "z": [ [ -2.355747566852176, -2.4138587723562543, -2.4671432023204796, -2.515261499495276, -2.5579035280912756, -2.5947915267732045, -2.6256829625511418, -2.650373046045502, -2.6686968729676677, -2.680531161638412, -2.685795561877933, -2.684453516550936, -2.676512663333883, -2.6620247707793823, -2.641085209368817, -2.6138319648518813, -2.5804442076522567, -2.541140438358047, -2.4961762352039925, -2.445841634886753, -2.3904581829430867, -2.3303756941806233, -2.26596876721527, -2.197633099982576, -2.1257816551151385, -2.050840725290617, -1.9732459490491143, -1.8934383271632447, -1.8118602884447679, -1.7289518519265394, -1.6451469297217716, -1.5608698115980977, -1.4765318684875304, -1.3925285078684178, -1.3092364092923487, -1.2270110633817743, -1.1461846324897713, -1.0670641459888632, -0.9899300379355924, -0.9150350297330582, -0.8426033554703977, -0.7728303229341699, -0.7058821989323534, -0.6418964036069139, -0.580981994886213, -0.5232204211826308, -0.46866651790206815, -0.4173497213167445, -0.36927547186748333, -0.3244267780012571 ], [ -2.395324714814136, -2.4539505154346886, -2.5076654091544484, -2.5561267520283764, -2.599021627983012, -2.636070033600357, -2.667027758800499, -2.691688923494528, -2.7098881347137014, -2.721502233776558, -2.7264516086478423, -2.7247010526770303, -2.7162601572743483, -2.7011832326774874, -2.6795687576649385, -2.6515583657637194, -2.61733538206055, -2.5771229310405044, -2.531181641834503, -2.4798069827527254, -2.423326261922364, -2.36209533515116, -2.296495065735333, -2.2269275837662637, -2.1538123945260317, -2.0775823867748113, -1.9986797921164492, -1.9175521461920368, -1.83464830122053, -1.7504145374200197, -1.6652908181576338, -1.5797072303555049, -1.4940806478015973, -1.4088116506620354, -1.3242817297576206, -1.240850799146961, -1.1588550353503373, -1.0786050562501177, -1.000384447411304, -0.9244486383720617, -0.8510241264453171, -0.7803080408280493, -0.7124680354056663, -0.6476424946257137, -0.5859410332487212, -0.5274452677040885, -0.4722098342132208, -0.420263626808012, -0.3716112268758873, -0.3262344948981051 ], [ -2.4289657453232203, -2.487966325858635, -2.5419829332282555, -2.590670406492346, -2.633713755494796, -2.670831370558462, -2.701777923710165, -2.72634692118547, -2.744372871458424, -2.7557330381620253, -2.760348752926628, -2.7581862692691437, -2.749257145109901, -2.733618148162738, -2.7113706852198036, -2.682659763114939, -2.647672495777849, -2.606636178168812, -2.5598159538975684, -2.5075121088760817, -2.4500570283380148, -2.3878118588954593, -2.321162920925581, -2.250517919431656, -2.176302003565697, -2.098953726209697, -2.018920955384328, -1.9366567887964128, -1.8526155215767057, -1.7672487152372722, -1.6810014131484075, -1.5943085444647809, -1.5075915544971301, -1.421255295115185, -1.335685203971897, -1.2512447962559616, -1.1682734874075067, -1.0870847598706255, -1.0079646816027115, -0.9311707788082393, -0.8569312603005709, -0.7854445861002417, -0.7168793684230834, -0.6513745891583812, -0.5890401143367899, -0.5299574829801067, -0.4741809451382287, -0.4217387218700277, -0.3726344584198491, -0.3268488408751522 ], [ -2.45639674821457, -2.515628708022036, -2.5698152347023444, -2.618609441023924, -2.661694986826557, -2.6987893065570043, -2.729646524624254, -2.7540600180897448, -2.771864590753529, -2.7829382278724806, -2.7872034064652857, -2.784627942323796, -2.7752253613542903, -2.759054789600679, -2.736220363136476, -2.7068701658306216, -2.6711947096743565, -2.6294249787823922, -2.5818300642396266, -2.528714422548913, -2.470414795450279, -2.407296833244363, -2.3397514673924116, -2.268191081026847, -2.1930455280512176, -2.1147580527125327, -2.0337811618878865, -1.9505725018494533, -1.8655907899854156, -1.7792918498991086, -1.692124795540986, -1.6045284066146903, -1.5169277335185574, -1.429730965623183, -1.3433265918388289, -1.2580808772904017, -1.1743356745929658, -1.0924065828076421, -1.012581461753741, -0.9351193040529491, -0.8602494621727353, -0.788171222900412, -0.7190537171879243, -0.6530361492227964, -0.590228324954067, -0.5307114571734327, -0.474539221649794, -0.42173903675692004, -0.37231353752443797, -0.32624221407690457 ], [ -2.477385897373814, -2.5367032109787386, -2.5909257046279666, -2.6397055714055195, -2.682725858417326, -2.7197037049474773, -2.7503932654091745, -2.7745882764592684, -2.792124232231446, -2.8028801368617327, -2.8067798092435403, -2.8037927211604328, -2.793934356494474, -2.7772660859823333, -2.7538945588696455, -2.723970619674466, -2.6876877649913355, -2.6452801617286874, -2.5970202542613015, -2.5432159935897927, -2.484207726634711, -2.4203647881707484, -2.352081841555162, -2.2797750172699507, -2.20387790033926, -2.1248374188796255, -2.0431096863849723, -1.959155849851533, -1.8734379945363768, -1.786415154059466, -1.6985394717584494, -1.6102525557562546, -1.52198206618273, -1.4341385684908028, -1.3471126819189467, -1.2612725469739243, -1.176961630441448, -1.0944968809788094, -1.0141672429007336, -0.9362325304332269, -0.8609226595680287, -0.7884372297842339, -0.7189454433857432, -0.6525863460961897, -0.5894693689079585, -0.5296751480396081, -0.4732565972443802, -0.4202402046489824, -0.37062752479146566, -0.32439683556474486 ], [ -2.491746340074396, -2.551001355177992, -2.605124623628572, -2.6537682360327395, -2.6966153723623614, -2.7333835434092064, -2.7638275147166755, -2.7877418723000034, -2.804963194083541, -2.815371796234313, -2.818893029366958, -2.8154981058384343, -2.805204445932495, -2.7880755375386093, -2.7642203108376284, -2.7337920363933415, -2.696986761793867, -2.654041308469317, -2.6052308564183404, -2.5508661502004335, -2.491290364596262, -2.426875672721539, -2.358019563030164, -2.2851409545046053, -2.208676161366167, -2.129074759822929, -2.0467954097020216, -1.9623016832976505, -1.8760579524329208, -1.7885253826250418, -1.7001580804158773, -1.6113994364517832, -1.5226787028478124, -1.4344078388396586, -1.3469786538068567, -1.2607602715421518, -1.176096934245672, -1.0933061592398516, -1.0126772559318118, -0.9344702051879129, -0.8589148981211998, -0.7862107264064667, -0.7165265117033552, -0.6500007576474081, -0.5867422042139335, -0.5268306611103731, -0.47031809423785165, -0.4172299371987014, -0.36756659831931837, -0.3213051327010845 ], [ -2.499338598986163, -2.5583830611351477, -2.6122716126142818, -2.660657063902708, -2.7032234767793164, -2.739689401699141, -2.769810796053326, -2.79338358265675, -2.810245812445435, -2.820279400636451, -2.8234114114188213, -2.8196148725054595, -2.808909107475287, -2.791359580654973, -2.7670772562107935, -2.736217480019966, -2.6989783996444974, -2.65559894421998, -2.6063563921819606, -2.5515635603781, -2.491565653158329, -2.4267368144143147, -2.3574764291827908, -2.2842052242802824, -2.2073612194595107, -2.1273955817487433, -2.0447684359483556, -1.9599446837258283, -1.8733898823977206, -1.7855662323587076, -1.6969287192688949, -1.6079214536114483, -1.5189742461621019, -1.430499453359235, -1.3428891216231673, -1.2565124544446211, -1.1717136206482215, -1.0888099167371657, -1.008090290740854, -0.9298142296124475, -0.8542110070480031, -0.7814792837042902, -0.7117870472514752, -0.6452718755722219, -0.5820415027618708, -0.5221746644354571, -0.4657221962350364, -0.41270835737135836, -0.3631323495330099, -0.3169700005477085 ], [ -2.500072446918253, -2.5587585395994354, -2.612277534663477, -2.6602837844045215, -2.7024629796305777, -2.738535375578576, -2.7682586978563295, -2.7914306878782966, -2.8078912519105463, -2.817524183119313, -2.820258431839828, -2.816068905548378, -2.804976786622154, -2.787049362792154, -2.762399372113989, -2.73118387117633, -2.6936026420149872, -2.6498961596819592, -2.600343148519853, -2.5452577608063014, -2.4849864164643654, -2.419904346900174, -2.3504118896573543, -2.2769305834146776, -2.199899114860001, -2.119769170127536, -2.0370012437818055, -1.9520604577815854, -1.865412441488434, -1.7775193216400467, -1.688835868344936, -1.5998058396420558, -1.510858563085695, -1.4224057882521761, -1.3348388391146802, -1.2485260899962405, -1.1638107833899234, -1.0810092024311548, -1.000409205319631, -0.9222691236123496, -0.8468170211343524, -0.7742503053614541, -0.7047356785918688, -0.6384094121042727, -0.5753779228491402, -0.515718629079158, -0.4594810587205941, -0.4066881822376147, -0.35733794025076615, -0.31140493523291224 ], [ -2.493908222201719, -2.5520896107888964, -2.6051058153657864, -2.6526135459929114, -2.6943008629323613, -2.729890383761262, -2.7591421703994996, -2.7818562557317303, -2.7978747741513548, -2.8070836656299774, -2.809413928731505, -2.8048424042471227, -2.7933920777163728, -2.7751318959061226, -2.750176099221169, -2.7186830788964658, -2.6808537745482726, -2.6369296341208477, -2.587190164343436, -2.5319501054026654, -2.4715562685433974, -2.4063840796523275, -2.3368338754841043, -2.263327002004402, -2.1863017663099793, -2.1062092947204984, -2.0235093499152836, -1.9386661594229062, -1.8521443063890777, -1.7644047313929725, -1.6759008912097857, -1.5870751168982258, -1.4983552095046822, -1.410151307110763, -1.3228530520018895, -1.23682708150171, -1.1524148606015703, -1.0699308690177447, -0.9896611498307966, -0.9118622214961247, -0.8367603498520104, -0.7645511718720436, -0.6953996583854074, -0.6294403988833835, -0.5667781878946079, -0.5074888892851477, -0.45162055225031783, -0.3991947507294644, -0.35020811649782413, -0.3046340352647552 ], [ -2.4808575611264256, -2.5383904289450214, -2.590773157763187, -2.637665619811728, -2.678758973394831, -2.71377884395254, -2.742488185672019, -2.7646897836292883, -2.7802283610797263, -2.788992261776262, -2.790914682990193, -2.7859744411431158, -2.774196258520905, -2.7556505663167896, -2.7304528261206666, -2.6987623788134796, -2.6607808365170307, -2.6167500396729073, -2.5669496073655425, -2.5116941145589218, -2.4513299348896216, -2.386231791966724, -2.3167990657037505, -2.2434519029938444, -2.1666271839999682, -2.086774396444334, -2.0043514705418004, -1.919820626641962, -1.8336442862520381, -1.746281094950877, -1.658182102829794, -1.569787144578228, -1.4815214572507338, -1.3937925691955453, -1.3069874886877968, -1.221470215592781, -1.1375795939862714, -1.0556275181822927, -0.9758974991613895, -0.8986435930500383, -0.8240896881624162, -0.7524291422602697, -0.683824757187158, -0.6184090739519437, -0.5562849677233129, -0.49752651909271106, -0.4421801353943271, -0.3902658938541739, -0.34177907688039477, -0.2966918688974338 ], [ -2.4609835328606726, -2.5177275976524838, -2.5693496373810794, -2.6155134738366916, -2.655914075170026, -2.6902807037935434, -2.7183797462107515, -2.7400171851439317, -2.755040678945988, -2.7633412185155297, -2.764854337697646, -2.7595608593492917, -2.7474871657689537, -2.72870498892165, -2.703330722712674, -2.671524266355889, -2.6334874145236458, -2.5894618163379133, -2.539726531254148, -2.4845952153957525, -2.4244129768240743, -2.359552942494681, -2.2904125831857542, -2.217409845436828, -2.1409791414662362, -2.061567249124435, -1.9796291741816865, -1.8956240266555546, -1.8100109614838704, -1.7232452316851903, -1.6357743992783351, -1.5480347457240058, -1.4604479195843896, -1.3734178545589382, -1.2873279861405935, -1.2025387899450346, -1.1193856593968112, -1.0381771350109994, -0.9591934920851888, -0.882685688308534, -0.8088746676899611, -0.7379510123869558, -0.6700749295507612, -0.6053765562550849, -0.5439565619934669, -0.4858870251548215, -0.4312125573442922, -0.3799516474237943, -0.33209819570716426, -0.2876232078530103 ], [ -2.4344001716284884, -2.4902196708945783, -2.540958172530816, -2.5862842129425703, -2.625897260349287, -2.659530822600112, -2.686955239034117, -2.7079801172292615, -2.722456380067844, -2.730277893740489, -2.7313826530289766, -2.7257535063535645, -2.7134184095352634, -2.6944502038954514, -2.6689659210749572, -2.6371256236828864, -2.5991307974619753, -2.555222316965592, -2.5056780126704155, -2.45080987289544, -2.390960918768515, -2.326501794695637, -2.2578271202769584, -2.185351652325408, -2.1095063075404723, -2.030734097451676, -1.9494860274685522, -1.8662170112690006, -1.7813818503540828, -1.6954313264367378, -1.6088084514716552, -1.521944916642119, -1.4352577775754218, -1.3491464085496485, -1.2639897535741478, -1.1801438970720919, -1.0979399715658638, -1.0176824143642853, -0.9396475798720118, -0.864082708879434, -0.7912052511327601, -0.7212025327084491, -0.6542317552945215, -0.590420310473945, -0.5298663885625058, -0.4726398585134234, -0.41878339289091526, -0.3683138099501011, -0.32122360344532197, -0.2774826299167543 ], [ -2.4012714104141204, -2.4560360444877665, -2.5057733748983564, -2.5501573902775494, -2.5888927229554666, -2.6217177099969735, -2.648407141124318, -2.668774654926113, -2.682674749294619, -2.690004377176978, -2.6907041043866156, -2.6847588123017734, -2.67219793467315, -2.6530952243606043, -2.627568052501226, -2.5957762492610006, -2.5579205018194764, -2.5142403314677377, -2.465011677553412, -2.410544121381445, -2.3511777879834765, -2.287279967821567, -2.219241503927602, -2.1474729926450946, -2.0724008479996874, -1.9944632807574667, -1.91410624343328, -1.8317793918959322, -1.7479321128121474, -1.6630096640186762, -1.5774494720681453, -1.4916776277272534, -1.4061056161937358, -1.3211273143280606, -1.2371162823594892, -1.1544233724210327, -1.073374670992701, -0.9942697869857575, -0.9173804918790527, -0.8429497131135113, -0.7711908769493461, -0.7022875922705549, -0.6363936624528661, -0.5736334084544549, -0.5141022827924073, -0.4578677510702045, -0.40497041524906274, -0.355425350923569, -0.30922362947398696, -0.26633399511713973 ], [ -2.361809429921138, -2.4153952521677424, -2.4640197952188374, -2.507363205250816, -2.545135912218667, -2.5770816376928924, -2.6029800931323983, -2.622649330628553, -2.635947712645479, -2.642775472363879, -2.6430758418262164, -2.6368357310841692, -2.6240859478612157, -2.6049009537525096, -2.579398159576, -2.5477367690454775, -2.510116186341393, -2.4667740092949604, -2.417983635667257, -2.3640515152972923, -2.3053140856202248, -2.242134432141178, -2.174898718824359, -2.104012435971596, -2.02989651498265, -1.9529833603917783, -1.8737128497583768, -1.7925283513653858, -1.7098728082764176, -1.6261849351624276, -1.5418955714878557, -1.457424231210995, -1.3731758851816354, -1.2895380079966068, -1.2068779162917966, -1.1255404204038215, -1.0458458061230655, -0.9680881579796174, -0.8925340302498795, -0.8194214667352243, -0.7489593654297929, -0.6813271795402225, -0.6166749420142871, -0.5551235968371526, -0.49676561691180565, -0.4416658853911779, -0.3898628148999592, -0.34136967718828015, -0.2961761144017574, -0.25424980232530703 ], [ -2.3162724457467467, -2.368562689995848, -2.4159695883795695, -2.45818011311208, -2.4949110907096803, -2.5259121505220845, -2.5509683679354582, -2.5699025649931415, -2.582577235607944, -2.5888960675498254, -2.588805038901538, -2.5822930725877584, -2.569392238798673, -2.5501775015365564, -2.524766012001139, -2.49331595798005, -2.456024984710191, -2.4131282087123815, -2.3648958517686154, -2.3116305274099385, -2.2536642169246504, -2.191354975902615, -2.1250834156392706, -2.0552490062802233, -1.9822662503611854, -1.9065607763676435, -1.8285654021021138, -1.7487162170155703, -1.667448731261952, -1.5851941371120768, -1.5023757255707688, -1.419405497645124, -1.336681005789082, -1.254582456683994, -1.1734701017973346, -1.0936819371863638, -1.0155317288765353, -0.9393073749416978, -0.8652696102382754, -0.7936510546880339, -0.7246556011476243, -0.658458134323796, -0.5952045679588096, -0.5350121836792062, -0.4779702515199187, -0.4241409092416353, -0.37356027517761503, -0.3262397674910844, -0.28216760139951447, -0.24131043512053663 ], [ -2.264961965558495, -2.3158478017317243, -2.361939631406795, -2.402931880333832, -2.4385483322393324, -2.468545012296177, -2.4927127701614715, -2.510879526109922, -2.522912148147395, -2.5287179329166825, -2.528245668622959, -2.5214862640173537, -2.5084729335833935, -2.48928093536408, -2.4640268642370398, -2.4328675097766648, -2.395998294023844, -2.3536513104049037, -2.306092990598569, -2.253621431244526, -2.196563416933931, -2.1352711798436035, -2.070118939609247, -2.0014992695297527, -1.9298193369201428, -1.8554970663667216, -1.7789572747813498, -1.7006278265150656, -1.6209358554018893, -1.5403040985027314, -1.4591473835614388, -1.3778693088353808, -1.2968591500968683, -1.2164890253024803, -1.1371113427836894, -1.059056553916965, -0.9826312261793541, -0.9081164473807508, -0.8357665667783156, -0.7658082738101296, -0.69844001041609, -0.6338317084190563, -0.5721248392848729, -0.5134327598227918, -0.45784133407471483, -0.405409808808054, -0.3561719176980511, -0.31013718747462904, -0.26729241801967096, -0.22760330762596093 ], [ -2.2082195563070637, -2.2576007662004938, -2.3022881362948335, -2.341984128616564, -2.3764200031319906, -2.4053586307849164, -2.4285970116280726, -2.4459684624244615, -2.45734444237183, -2.4626359904384834, -2.461794753109948, -2.4548135870437466, -2.4417267271144385, -2.422609516497872, -2.3975777016829647, -2.366786301499965, -2.3304280653058447, -2.288731541262587, -2.2419587810798527, -2.190402712576157, -2.134384215855284, -2.0742489427243926, -2.010363922134102, -1.9431139968521738, -1.8728981382569654, -1.8001256870376323, -1.725212567711591, -1.6485775242290752, -1.5706384225566332, -1.4918086640566977, -1.4124937507625983, -1.3330880403516072, -1.2539717248172342, -1.1755080626172063, -1.0980408895129132, -1.0218924285107294, -0.9473614143581163, -0.8747215430302977, -0.8042202516568175, -0.7360778294675805, -0.6704868556654053, -0.6076119557301858, -0.5475898635932037, -0.4905297734447167, -0.4365139616989706, -0.3855986568732903, -0.33781513286603126, -0.29317099935503643, -0.25165166178732434, -0.21322192268442075 ], [ -2.146423169014447, -2.1942087353063, -2.2374108073649888, -2.275740418156645, -2.3089367783772565, -2.3367700141011984, -2.3590436156453265, -2.375596562934689, -2.3863050968453416, -2.3910841107324314, -2.3898881415491466, -2.3827119455357995, -2.3695906493106684, -2.3505994732231184, -2.3258530299273903, -2.2955042071937, -2.259742649884198, -2.2187928616795825, -2.1729119524476137, -2.1223870620053527, -2.067532495358526, -2.00868660823209, -1.9462084847753864, -1.8804744516866725, -1.81187447462328, -1.7408084836277111, -1.6676826744040474, -1.5929058316362008, -1.5168857191756768, -1.440025579882338, -1.3627207852293792, -1.2853556715463983, -1.208300596044821, -1.1319092416278307, -1.0565161950180886, -0.9824348180297349, -0.9099554269578823, -0.8393437901486819, -0.7708399489350646, -0.7046573623612188, -0.6409823715515262, -0.5799739752788811, -0.5217639043160069, -0.46645697856643387, -0.4141317278128547, -0.3648412542242585, -0.31861431255235706, -0.27545658223583214, -0.23535210442010768, -0.1982648561838014 ], [ -2.0799830752970814, -2.1260916780630286, -2.167736599646773, -2.204637927696163, -2.2365432511048033, -2.2632303177550117, -2.2845094101560472, -2.3002254052305164, -2.310259488594942, -2.314530498302857, -2.312995878092549, -2.3056522256211336, -2.2925354268762423, -2.273720373836891, -2.2493202684006652, -2.219485521499909, -2.1844022620895345, -2.144290476200541, -2.0994018014198907, -2.0500170068874684, -1.9964431931144055, -1.9390107495526159, -1.8780701108250828, -1.8139883548146556, -1.7471456873748206, -1.6779318592523869, -1.6067425608971948, -1.5339758401900478, -1.4600285867737663, -1.3852931246624083, -1.3101539521819743, -1.234984665124267, -1.1601450953444619, -1.0859786929812507, -1.012810176109096, -0.9409434670329384, -0.8706599296947242, -0.8022169178671744, -0.7358466390491254, -0.6717553343308817, -0.6101227700439923, -0.5511020328174898, -0.49481961579382794, -0.44137578026509505, -0.39084517391695317, -0.343277684246837, -0.2986995035772262, -0.25711438042638135, -0.21850503083048545, -0.18283468252530422 ], [ -2.009337475394909, -2.0536978917008404, -2.0937231405286947, -2.12914279468441, -2.1597131996827814, -2.185220047530019, -2.2054806755988317, -2.2203460578664886, -2.2297024597763393, -2.233472732486798, -2.2316172272135653, -2.224134315666813, -2.2110605081425203, -2.192470166548845, -2.1684748154321447, -2.139222059810352, -2.1048941242208423, -2.065706032746478, -2.0219034548020813, -1.973760246056615, -1.9215757179548318, -1.8656716728174332, -1.8063892443844534, -1.7440855858781674, -1.6791304491701806, -1.6119026994252001, -1.5427868096605768, -1.4721693790179402, -1.4004357172165762, -1.3279665356869423, -1.2551347833164026, -1.1823026616385774, -1.1098188507320337, -1.0380159731393137, -0.9672083188555973, -0.8976898499518862, -0.8297324987775361, -0.7635847690169161, -0.699470644238879, -0.637588804055638, -0.578112143674338, -0.5211875885475559, -0.46693619206884496, -0.4154535008670195, -0.36681016927007737, -0.32105280196880437, -0.2782050018324487, -0.23826859822687196, -0.20122503006101966, -0.16703685713340266 ], [ -1.9349478419772772, -1.9774992454614462, -2.015851881525491, -2.0497451835175635, -2.078944581404903, -2.103243988020222, -2.1224680180718156, -2.1364739082506707, -2.145153110648164, -2.1484325360752647, -2.1462754286760073, -2.1386818583718443, -2.125688823070247, -2.1073699581251235, -2.0838348561496893, -2.0552280058542176, -2.021727364011972, -1.9835425798497726, -1.9409128960235984, -1.894104754788263, -1.8434091419284013, -1.7891387044178333, -1.7316246805621538, -1.6712136835119802, -1.6082643804829664, -1.5431441107679316, -1.476225485674804, -1.4078830128837305, -1.3384897864129748, -1.268414281453666, -1.1980172908271374, -1.1276490367943897, -1.0576464884725736, -0.9883309112624652, -0.9200056705433274, -0.852954307529483, -0.787438900690945, -0.7236987216015708, -0.6619491895744957, -0.6023811250533238, -0.5451602975214165, -0.49042725973646073, -0.4382974564514521, -0.3888615924961798, -0.3421862422055204, -0.2983146797233056, -0.2572679077043123, -0.21904586039332918, -0.18362875598116535, -0.15097857251574687 ], [ -1.8572940673095069, -1.8979862260379408, -1.9346230503756712, -1.9669541532070185, -1.9947543251259843, -2.0178259300623216, -2.036001041770674, -2.049143290618471, -2.057149393872484, -2.0599503469287606, -2.0575122575850995, -2.049836810439841, -2.0369613537287363, -2.018958606290537, -1.9959359877864995, -1.9680345806916955, -1.9354277378309503, -1.8983193542550625, -1.8569418269554074, -1.811553730214209, -1.7624372382096904, -1.709895329776372, -1.6542488129067658, -1.5958332086321765, -1.5349955353080504, -1.472091035039325, -1.4074798840122034, -1.341523927862469, -1.2745834819319293, -1.207014234380278, -1.1391642876775228, -1.0713713710589896, -1.0039602531470089, -0.9372403802018832, -0.8715037614377852, -0.8070231186058265, -0.7440503126892068, -0.6828150561544849, -0.6235239148379325, -0.5663595992917861, -0.5114805413423884, -0.4590207477840922, -0.40908991960632135, -0.361773821973677, -0.31713488739011453, -0.275213032107432, -0.2360266639058548, -0.19957385789130067, -0.16583367592148446, -0.13476760468419346 ], [ -1.7768694834386398, -1.8156628556962269, -1.8505504757662488, -1.8812923979076963, -1.9076729972795519, -1.929503272362005, -1.946622896720839, -1.958901990686428, -1.9662425871616207, -1.9685797698792364, -1.965882466930498, -1.9581538872048143, -1.9454315924331862, -1.9277872027246516, -1.9053257387339906, -1.8781846088060148, -1.846532254514055, -1.810566472856836, -1.7705124379133814, -1.726620448899957, -1.6791634352550453, -1.628434252536278, -1.5747428054953865, -1.5184130366651993, -1.4597798201186651, -1.3991858007304903, -1.336978219286258, -1.273505763153138, -1.2091154809754487, -1.1441497980222923, -1.078943666440284, -1.0138218818068807, -0.9490965941031833, -0.8850650375986668, -0.8220075002391138, -0.760185549030468, -0.6998405236941629, -0.6411923066126674, -0.584438372863061, -0.5297531200252659, -0.47728747351679945, -0.4271687595101705, -0.37950083408602464, -0.33436445421142813, -0.29181787344587384, -0.251897642996336, -0.21461959688619459, -0.17997999858156444, -0.14795682543373645, -0.11851116674087825 ], [ -1.6941758258710429, -1.731041554911619, -1.7641563577584498, -1.793290934492529, -1.8182394164420712, -1.8388215733174773, -1.8548847785015263, -1.8663057042290774, -1.8729917219078562, -1.8748819867943998, -1.8719481905811162, -1.8641949700975147, -1.851659965199366, -1.834413523928341, -1.8125580580822738, -1.786227057351759, -1.7555837750630565, -1.720819603232486, -1.6821521590012132, -1.6398231085047466, -1.5940957577699695, -1.5452524432643586, -1.4935917571982378, -1.439425644563787, -1.3830764101581312, -1.324873674468938, -1.2651513172993971, -1.2042444473858145, -1.1424864350398833, -1.0802060430630667, -1.0177246888772562, -0.9553538680482107, -0.8933927662069948, -0.8321260828681155, -0.7718220868723857, -0.712730919223907, -0.6550831550187473, -0.5990886320549181, -0.5449355496418741, -0.4927898371635908, -0.44279478815775186, -0.3950709521137079, -0.3497162729164214, -0.306806459916678, -0.2663955750260829, -0.2285168170457157, -0.19318348265856788, -0.16039008215776018, -0.1301135870459167, -0.10231478611896949 ], [ -1.60971821077266, -1.644638020871702, -1.6759660564649717, -1.703483810795582, -1.726995291004372, -1.74632912839957, -1.7613404559756423, -1.7719125260999706, -1.7779580446733876, -1.7794202018851566, -1.7762733838613607, -1.7685235539761326, -1.756208297279605, -1.739396526312323, -1.7181878514369928, -1.6927116236380781, -1.6631256624313502, -1.6296146860052123, -1.592388464903806, -1.551679724385192, -1.5077418239797598, -1.4608462456780058, -1.4112799245449799, -1.3593424573556114, -1.3053432260459805, -1.249598473367509, -1.1924283681143204, -1.1341540966790713, -1.075095016503191, -1.0155659052564292, -0.9558743373517657, -0.8963182167267881, -0.8371834917609972, -0.7787420748152748, -0.7212499852443587, -0.6649457309181763, -0.6100489393661273, -0.5567592457033753, -0.5052554405803245, -0.45569487758366867, -0.40821313587233576, -0.3629239304113481, -0.3199192590215907, -0.2792697726361333, -0.24102535267896896, -0.2052158773860595, -0.17185215718877678, -0.14092701798566876, -0.11241651024053811, -0.08628122135633243 ], [ -1.5240001940555936, -1.556966191467045, -1.5865029697394002, -1.6124029062979517, -1.6344799526067801, -1.652571646490911, -1.666540901033357, -1.676277544165396, -1.681699586322575, -1.6827541972021796, -1.679418376668781, -1.6716993091448158, -1.6596343953172124, -1.6432909596100416, -1.62276563653431, -1.5981834436456201, -1.5696965533362812, -1.5374827799791289, -1.5017438029503343, -1.4627031497169243, -1.420603966418176, -1.375706606144232, -1.3282860673745338, -1.2786293167490832, -1.2270325314832125, -1.1737982972900294, -1.1192327976434906, -1.0636430296104096, -1.0073340803236204, -0.9506064964937909, -0.8937537772050446, -0.8370600176606888, -0.7807977285960769, -0.7252258528193247, -0.6705879968437896, -0.617110891908496, -0.5650030949143682, -0.5144539360055935, -0.4656327157643789, -0.4186881513290055, -0.37374806724947107, -0.3309193236169399, -0.29028797099090253, -0.25191961894217485, -0.2158600026638693, -0.1821357301012212, -0.15075519043140595, -0.12170960349471427, -0.09497418893948817, -0.07050943338789106 ], [ -1.4375189778803912, -1.468533361474156, -1.496283567642315, -1.5205728939602863, -1.5412252548545042, -1.5580870953822015, -1.5710290910933535, -1.579947609302146, -1.584765910213915, -1.5854350698624056, -1.581934610653129, -1.5742728294154327, -1.5624868171670245, -1.546642169213669, -1.5268323886649822, -1.5031779908645984, -1.4758253205299723, -1.444945097496973, -1.4107307107941303, -1.3733962842631815, -1.3331745400365005, -1.290314488825153, -1.2450789781213891, -1.1977421310426517, -1.1485867096194404, -1.097901436844493, -1.0459783117563748, -0.9931099512372803, -0.9395869910839446, -0.8856955772937446, -0.8317149764348764, -0.7779153314885782, -0.7245555867175799, -0.6718816019878091, -0.6201244736151801, -0.5694990752914193, -0.52020282903085, -0.4724147124405619, -0.4262945050147591, -0.3819822726524238, -0.3395980862535197, -0.2992419671149944, -0.2609940489698839, -0.22491494393008904, -0.19104629733720335, -0.15941151462014647, -0.1300166417190336, -0.10285137946970613, -0.07789021155315212, -0.055093625191627194 ], [ -1.3507608261823527, -1.3798355136128315, -1.405812647331113, -1.428506427699201, -1.447750702541276, -1.4634007822602466, -1.4753350506754064, -1.4834563481212795, -1.4876931063289138, -1.488000217963494, -1.4843596273608752, -1.4767806329275637, -1.4652998957741326, -1.449981153369783, -1.430914641258858, -1.4082162300935734, -1.3820262893339146, -1.352508292873443, -1.3198471854977527, -1.2842475324070532, -1.2459314769776575, -1.2051365344494351, -1.1621132512665837, -1.1171227613359602, -1.0704342714800654, -1.0223225088396275, -0.9730651629239628, -0.9229403544267774, -0.8722241618407125, -0.8211882353466832, -0.7700975254615919, -0.7192081515474571, -0.6687654325678255, -0.619002099482305, -0.5701367054577156, -0.5223722467087912, -0.47589500332749124, -0.4308736059812446, -0.38745833092012427, -0.34578062238955365, -0.3059528383542913, -0.2680682124508429, -0.23220102234284812, -0.19840695219513083, -0.16672363483616692, -0.13717135736921282, -0.10975391253342526, -0.0844595770160721, -0.061262197175033783, -0.04012236224100274 ], [ -1.2641967459247379, -1.2913529221376334, -1.315578866888802, -1.3366996147718082, -1.3545588712834862, -1.3690207296132273, -1.379971192874936, -1.3873194795329529, -1.3909990926150868, -1.3909686365016272, -1.3872123685745013, -1.3797404767461554, -1.3685890777973377, -1.3538199354675782, -1.3355199012901253, -1.3138000851711844, -1.288794766609829, -1.260660061169577, -1.2295723602791382, -1.1957265655971254, -1.159334141968426, -1.1206210153814813, -1.0798253442667431, -1.0371951939277306, -0.9929861448471275, -0.9474588660519533, -0.9008766846538632, -0.8535031821136736, -0.8055998467330301, -0.7574238103794007, -0.709225695540681, -0.6612475965262294, -0.6137212160328431, -0.5668661754318873, -0.5208885140661291, -0.4759793896327913, -0.4323139884344853, -0.3900506509632924, -0.3493302150047688, -0.31027557526462446, -0.2729914554835533, -0.23756438616302655, -0.20406287841809245, -0.1725377821381846, -0.14302281460165323, -0.11553524397586878, -0.09007671075631696, -0.06663416916188902, -0.045180929809830905, -0.025677784635586676 ], [ -1.178278485013347, -1.2035460807243188, -1.226050610586624, -1.2456278262007678, -1.2621311712342336, -1.2754334006556172, -1.2854280151683501, -1.2920304897987664, -1.295179278296421, -1.2948365780420152, -1.2909888434802828, -1.2836470396439292, -1.2728466310478894, -1.2586473050451938, -1.2411324325782136, -1.2204082730622954, -1.1966029338353488, -1.1698650981288077, -1.1403625388011398, -1.1082804380652913, -1.073819536085066, -1.0371941335666546, -0.998629975294731, -0.9583620429281764, -0.9166322862614744, -0.87368732256364, -0.8297761335285829, -0.7851477888185755, -0.7400492241752429, -0.6947231006377788, -0.649405769581061, -0.6043253661095823, -0.5597000508639258, -0.5157364175680387, -0.4726280807231278, -0.4305544547959992, -0.3896797331144244, -0.3501520715282085, -0.31210297877840465, -0.2756469124923282, -0.24088107683849924, -0.20788541517868486, -0.17672278858298585, -0.14743932886242805, -0.1200649528483062, -0.09461402302886768, -0.07108613835524547, -0.049467038055786006, -0.029729600651426713, -0.011834920037496088 ], [ -1.0934348913115302, -1.1168519997757118, -1.1376722313087129, -1.1557418914862303, -1.1709240015529132, -1.1830998212864006, -1.1921701968067466, -1.1980567134776337, -1.200702636609465, -1.200073625554736, -1.1961582099347396, -1.188968020099383, -1.1785377674395314, -1.1649249737815488, -1.1482094527315445, -1.1284925494367384, -1.1058961487284948, -1.0805614649427548, -1.0526476298191243, -1.0223300977050693, -0.9897988897866425, -0.9552567011903614, -0.9189168965164214, -0.88100142064607, -0.8417386524971773, -0.8013612297738226, -0.7601038726686622, -0.7182012339402082, -0.675885801819925, -0.6333858808316866, -0.5909236738629875, -0.5487134867533123, -0.5069600743055316, -0.46585714403155576, -0.425586031166413, -0.38631455558058936, -0.348196068244913, -0.3113686919101477, -0.2759547577090784, -0.2420604365228256, -0.20977556122247742, -0.17917363334517722, -0.15031200542726775, -0.12323222812825274, -0.09796054946323673, -0.07450855193721373, -0.052873912154434155, -0.03304126656611084, -0.014983166419276994, 0.0013388953274557913 ], [ -1.010068670120285, -1.031680911048793, -1.0508607085072896, -1.0674647163665347, -1.0813653347100476, -1.0924521378996657, -1.1006331372772535, -1.105835859823578, -1.1080082265205338, -1.1071192168868864, -1.1031593091340803, -1.0961406885671359, -1.0860972201789942, -1.07308418479704, -1.057177781575586, -1.0384744030265725, -1.0170896920806203, -0.9931573938129069, -0.9668280173960161, -0.9382673265036934, -0.9076546787384122, -0.8751812366517494, -0.8410480745374039, -0.8054642063769221, -0.7686445610917682, -0.7308079315941404, -0.6921749240337373, -0.6529659331179237, -0.6133991684556256, -0.5736887555661716, -0.5340429335349945, -0.49466236932683494, -0.4557386065271223, -0.4174526638208462, -0.3799737958858773, -0.3434584266265239, -0.3080492618557915, -0.27387458570386003, -0.24104774223645475, -0.20966680105793012, -0.17981440309519803, -0.15155778034992817, -0.12494894120339084, -0.10002501089069638, -0.07680871505271325, -0.05530899284269264, -0.035521724921920406, -0.017430560830020925, -0.0010078296602726855, 0.013784482297706235 ], [ -0.9285535699907687, -0.9484134098543278, -0.9660027522658912, -0.9811883544713216, -0.9938517616748426, -1.0038906422358376, -1.0112199670957567, -1.0157730159093337, -1.0175021946424136, -1.0163796519677057, -1.0123976845963127, -1.0055689246785666, -0.9959263055397547, -0.9835228052288725, -0.9684309705938001, -0.9507422277958024, -0.9305659882820786, -0.9080285621908751, -0.8832718939166722, -0.8564521370639766, -0.8277380882232507, -0.7973095008747043, -0.7653553022330825, -0.7320717369669115, -0.6976604624429978, -0.6623266204541125, -0.6262769102855955, -0.5897176874743536, -0.5528531117273585, -0.5158833662208703, -0.4790029689259462, -0.44239919473703426, -0.40625062505893905, -0.37072583917867896, -0.33598225925980385, -0.3021651581970801, -0.2694068369091809, -0.23782597497517144, -0.20752715588545034, -0.178600565624492, -0.1511218608737186, -0.1251522008556576, -0.10073843476892064, -0.07791343491517377, -0.05669656401684975, -0.03709426388419179, -0.019100751523482007, -0.0026988079893943695, 0.012139355226897575, 0.025451167722432277 ], [ -0.8492320189756736, -0.8673980571654185, -0.8834523759918143, -0.8972715555264857, -0.9087460207355962, -0.9177812860654219, -0.9242990537159199, -0.9282381492041919, -0.9295552799727484, -0.9282256052137038, -0.9242431077191888, -0.9176207613843063, -0.9083904909324547, -0.8966029234511615, -0.8823269343652655, -0.8656489934785573, -0.8466723196298597, -0.8255158552828492, -0.8023130749501666, -0.777210643695856, -0.7503669440248394, -0.7219504912182801, -0.6921382585810775, -0.661113935109775, -0.6290661387523165, -0.5961866087079263, -0.5626684001074377, -0.5287041039300263, -0.49448411416715476, -0.4601949630615878, -0.42601774375698875, -0.39212663792615876, -0.3586875639420941, -0.32585695895804334, -0.29378070591545313, -0.2625932140487701, -0.2324166589502743, -0.2033603857432873, -0.1755204764331577, -0.14897948010512807, -0.12380630235629031, -0.1000562482207874, -0.07777121090471417, -0.05697999691581157, -0.0376987766743524, -0.01993164844068751, -0.0036713024020966767, 0.011100228968996761, 0.024410748642367253, 0.03629701541328578 ], [ -0.7724132255623409, -0.7889494559549656, -0.8035289521029196, -0.8160378044887195, -0.8263750243103517, -0.8344537000092169, -0.8402020167713714, -0.8435641237025441, -0.8445008353976388, -0.8429901568918208, -0.8390276234550802, -0.8326264493322324, -0.8238174822888436, -0.8126489636518206, -0.7991860963796354, -0.7835104265100797, -0.7657190460621832, -0.7459236280631681, -0.7242493067853069, -0.7008334184671834, -0.675824119721369, -0.6493789024625084, -0.6216630254991732, -0.5928478838997246, -0.5631093378529076, -0.5326260229922436, -0.501577664040462, -0.470143413164279, -0.43850023362611124, -0.40682134819878835, -0.37527477039932755, -0.34402193493078426, -0.31321644183280783, -0.2830029267726377, -0.253516067700265, -0.22487973578854525, -0.197206296225227, -0.17059606206296674, -0.1451369020076303, -0.12090400077497332, -0.09795976850779997, -0.07635389375393076, -0.05612353268853787, -0.03729362564738947, -0.019877330639957558, -0.0038765623473426825, 0.010717375811034158, 0.023923079632214073, 0.03576826562430013, 0.04628893974732362 ], [ -0.6983717507199546, -0.7133468081230729, -0.7265157569800577, -0.7377738577724916, -0.74702838978368, -0.754199722385778, -0.7592222583793444, -0.7620452351520475, -0.7626333713133815, -0.7609673485822536, -0.7570441210184549, -0.7508770461570887, -0.7424958351833112, -0.7319463219271768, -0.7192900531170138, -0.7046037049564959, -0.6879783336372235, -0.6695184698193241, -0.6493410693631454, -0.6275743346356075, -0.6043564225088575, -0.5798340566861143, -0.5541610632044871, -0.5274968488583319, -0.5000048428471199, -0.47185092217289537, -0.44320184119576567, -0.4142236853090553, -0.3850803679329151, -0.3559321889667857, -0.32693447151227506, -0.29823629210936375, -0.2699793179544372, -0.24229676262592026, -0.21531246977197593, -0.18914013205567404, -0.16388265044789563, -0.13963163674776302, -0.11646706003446128, -0.09445703565030672, -0.07365775331771096, -0.05411353913344841, -0.035857044489613354, -0.01890955346497747, -0.003281398930899293, 0.011027523463566169, 0.024027155114374477, 0.035736600399605356, 0.04618339142681149, 0.05540270445020856 ], [ -0.6273465498856148, -0.6408329506269457, -0.6526590035793396, -0.6627287747405344, -0.6709574723136612, -0.6772724358000699, -0.6816140059871997, -0.6839362626290209, -0.6842076183801283, -0.6824112595217051, -0.678545426175599, -0.6726235270033131, -0.6646740857896614, -0.654740519772812, -0.6428807520586906, -0.6291666629035108, -0.6136833870184627, -0.5965284663025076, -0.5778108695017119, -0.5576498921892387, -0.5361739521254258, -0.5135192964634491, -0.4898286383899948, -0.46524974161389265, -0.43993397162803016, -0.414034832865545, -0.3877065107517479, -0.3611024372257241, -0.33437389758363634, -0.3076686954983343, -0.2811298918207972, -0.25489463129691226, -0.22909306966987764, -0.20384741181930832, -0.17927106965021133, -0.15546794642624517, -0.1325318521814598, -0.11054605278084528, -0.08958295316975051, -0.06970391339069026, -0.050959194085368864, -0.0333880264694717, -0.017018800192742267, -0.001869361098983724, 0.012052590303793576, 0.024749009851028347, 0.036230941179573595, 0.04651787917588113, 0.05563707730611056, 0.06362281086108323 ], [ -0.5595404764488623, -0.5716138620284982, -0.5821673525822493, -0.5911134350067753, -0.5983748898384263, -0.6038857013942923, -0.6075918573871391, -0.6094520258047796, -0.6094380984847683, -0.6075355926543741, -0.603743903711703, -0.5980764046626028, -0.5905603898607094, -0.5812368629853235, -0.5701601714914527, -0.5573974920371405, -0.5430281735927541, -0.5271429470258144, -0.5098430118947032, -0.49123901294054917, -0.47144992030758803, -0.4506018288217083, -0.42882669269292517, -0.4062610127641135, -0.3830444938948796, -0.35931869024122354, -0.3352256560702134, -0.3109066193409713, -0.2865006946016557, -0.2621436508147881, -0.2379667485521022, -0.2140956596224446, -0.19064948064141052, -0.167739850352556, -0.14547017870164147, -0.12393499378325101, -0.10321941085944841, -0.08339872572855755, -0.06453813283329812, -0.046692566673740554, -0.029906663362399888, -0.014214837552918524, 0.00035853148593067985, 0.013798812173186903, 0.026100739930448036, 0.03726795306320385, 0.04731245548363994, 0.056254017067338014, 0.06411952275250132, 0.07094228161036731 ], [ -0.4951202314970641, -0.5058586237578405, -0.5152118859358447, -0.5231005249788026, -0.5294545233071174, -0.5342141734081032, -0.5373308101952166, -0.5387674298758496, -0.538499185592639, -0.5365137518082171, -0.5328115512630556, -0.5274058403178377, -0.5203226505606903, -0.5116005866780698, -0.5012904827176866, -0.48945492097366505, -0.47616761975941213, -0.4615126982654516, -0.44558382849228617, -0.42848328587001316, -0.4103209115980033, -0.3912130009348642, -0.37128113262118423, -0.35065095530987045, -0.3294509473022389, -0.3078111660374663, -0.28586200366052705, -0.2637329646055604, -0.24155148048984687, -0.21944177673475074, -0.1975238042350569, -0.17591224811209183, -0.15471562413653195, -0.13403547182465148, -0.11396565152904836, -0.09459175109487816, -0.07599060586913664, -0.05822993406646515, -0.041368087742668536, -0.025453917936566484, -0.010526750940276886, 0.003383528827602955, 0.016256295220429928, 0.028079903101875914, 0.038851325517148316, 0.04857571423472451, 0.0572658932548733, 0.06494179535110645, 0.0716298519934373, 0.07736234710240497 ], [ -0.43421673836630337, -0.4436998140660464, -0.45192652021489177, -0.4588249705622841, -0.46433196858288983, -0.4683937700582158, -0.47096675140605126, -0.4720179734125328, -0.47152563142846105, -0.4694793846673998, -0.4658805589617586, -0.46074221916416913, -0.45408910929241897, -0.4459574604726009, -0.43639466870105803, -0.4254588463853539, -0.4132182535020048, -0.39975061598972217, -0.3851423406488268, -0.3694876373104339, -0.352887560346391, -0.3354489826899014, -0.31728351640895336, -0.298506394506288, -0.27923532900174597, -0.25958936048195724, -0.2396877141793956, -0.21964867727460824, -0.19958851151256862, -0.17962041440256304, -0.15985354124998996, -0.14039209907125816, -0.12133452209550266, -0.10277273708741164, -0.08479152516416066, -0.06746798515692731, -0.050871101915243466, -0.035061421300882856, -0.020090831997182867, -0.006002452697278393, 0.007169378243060187, 0.019399014972588446, 0.030669323658888636, 0.0409714159748753, 0.050304304122920085, 0.058674485734919735, 0.0660954675867147, 0.07258723748991236, 0.07817569397525581, 0.0828920434635616 ], [ -0.376925914997156, -0.385234307003393, -0.39240883151827854, -0.39838478715848713, -0.40310541061338956, -0.4065225708453253, -0.4085973766947506, -0.4093006884134469, -0.4086135249454952, -0.40652736022786096, -0.4030443033658391, -0.39817715922510244, -0.3919493677417729, -0.3843948220530349, -0.37555756735999957, -0.36549138421895155, -0.35425926168372945, -0.34193276735875555, -0.32859132293964377, -0.31432139518831326, -0.2992156134879813, -0.2833718261290943, -0.26689210827348364, -0.24988173511783374, -0.2324481341213247, -0.21469983027225203, -0.1967453982461902, -0.1786924349596941, -0.1606465654589544, -0.142710494316711, -0.12498311376140858, -0.1075586786511269, -0.09052605715574336, -0.07396806464998495, -0.05796088687554657, -0.04257359693054519, -0.027867769118414376, -0.013897191164168765, -0.0007076748110812492, 0.011663036628526857, 0.02318526655508757, 0.033837313242671474, 0.04360527306627748, 0.052482784989275055, 0.06047070336462079, 0.06757670680823469, 0.0738148514472512, 0.07920507722798886, 0.08377267618979212, 0.08754773167597585 ], [ -0.3233098122969771, -0.3305244438852508, -0.33672125867065716, -0.3418423130861994, -0.34583688541548385, -0.3486621053086387, -0.35028350402043285, -0.3506754767181759, -0.34982164939784766, -0.3477151442809059, -0.34435873901806, -0.33976491657477714, -0.333955804288546, -0.32696300224055497, -0.3188273027442774, -0.3095983043897932, -0.2993339256653307, -0.2880998246770514, -0.2759687328773279, -0.263019711964823, -0.24933734421471976, -0.23501086741458077, -0.22013326630556573, -0.20480033294821487, -0.18910970873958055, -0.17315992090121002, -0.15704942613627382, -0.14087567382543442, -0.12473420060347773, -0.10871776744654116, -0.09291554951939074, -0.0774123880034776, -0.062288111971869675, -0.04761693712073445, -0.03346694683447993, -0.019899659679393444, -0.0069696860150387785, 0.005275524989682312, 0.01679584802317713, 0.02755855538998153, 0.037538304519300514, 0.04671704303542734, 0.055083836246024864, 0.0626346228236716, 0.06937190523953585, 0.07530438214816959, 0.08044653041408845, 0.0848181448128782, 0.08844384363318092, 0.09135254845553198 ], [ -0.27339808271525357, -0.279599540653078, -0.2848926473931168, -0.2892257884078182, -0.2925538912329124, -0.2948389940319842, -0.29605074184999913, -0.29616680268296025, -0.29517319658143526, -0.2930645322266878, -0.28984414674883285, -0.28552414597348763, -0.2801253437610518, -0.2736771006143608, -0.26621706324817995, -0.25779080830957257, -0.2484513948841538, -0.2382588317925174, -0.22727946694860046, -0.21558530719427438, -0.2032532780212175, -0.19036443342485043, -0.1770031267913461, -0.16325615418715578, -0.1492118816944159, -0.13495936851236867, -0.12058749742590735, -0.10618412393276033, -0.09183525482957222, -0.0776242663968445, -0.06363117150855135, -0.049931944042983956, -0.03659790790716655, -0.023695196830590515, -0.011284289858493057, 0.0005803737951706189, 0.011850698165236428, 0.02248515113987959, 0.03244890242810139, 0.041713880276405435, 0.05025874946241382, 0.058068814147552716, 0.06513585012298839, 0.07145787181970897, 0.07703884016493268, 0.08188831794604967, 0.08602107978546791, 0.08945668413426522, 0.0922190148603812, 0.09433580004281694 ], [ -0.22718974008182236, -0.23245769133819394, -0.23692009487029275, -0.2405312378723301, -0.24325130693451147, -0.24504689939712487, -0.2458914690018159, -0.2457656987021184, -0.2446577944902153, -0.24256369521093823, -0.23948719454761935, -0.23543997265682393, -0.2304415362761545, -0.22451906750735495, -0.2177071828598247, -0.21004760550213453, -0.20158875498558726, -0.1923852599499596, -0.18249740047404095, -0.17199048777156034, -0.16093418983733065, -0.14940181240349104, -0.1374695451580885, -0.12521568359892377, -0.1127198371381577, -0.10006213413574994, -0.08732243442313647, -0.07457955958821971, -0.06191055083640906, -0.04938996363195125, -0.03708920757342016, -0.025075939083627485, -0.013413513516515208, -0.002160502222099403, 0.008629721012980207, 0.018909320895104997, 0.028636266850055048, 0.0377745236487963, 0.04629416668560271, 0.05417142326591784, 0.061388642301591245, 0.06793419577089477, 0.07380231616577859, 0.07899287490749773, 0.08351110735505385, 0.08736729055230819, 0.0905763802555255, 0.09315761405244771, 0.09513408752821895, 0.0965323104564948 ], [ -0.18465516945488836, -0.18906782550716072, -0.19277105179067577, -0.1957246143206519, -0.19789357334181656, -0.19924874119439417, -0.19976708072215255, -0.19943203777458862, -0.19823380225994724, -0.19616949321817145, -0.19324326448617346, -0.18946632870204927, -0.184856898619018, -0.17944004595149643, -0.17324747923146377, -0.16631724339004483, -0.1586933449736534, -0.15042530803390108, -0.14156766677475385, -0.132179401979875, -0.12232332906058785, -0.11206544624585124, -0.10147425196844195, -0.09062004087758235, -0.07957418812193584, -0.06840843159652632, -0.05719416173369929, -0.046001728146507936, -0.03489977201033634, -0.023954592505941452, -0.013229554957360223, -0.002784547496874623, 0.007324507806346858, 0.01704608438831401, 0.026333417264191583, 0.03514480285734023, 0.043443830783687076, 0.05119954686327377, 0.058386547678009215, 0.06498500799889206, 0.07098064335076537, 0.0763646108530458, 0.08113335225793405, 0.0852883837930003, 0.08883603799432382, 0.09178716318394642, 0.09415678659800641, 0.09596374740867719, 0.09723030600543936, 0.09798173591300574 ], [ -0.14573834427416932, -0.14937197610580655, -0.15238563746876888, -0.1547441574273989, -0.1564170917033716, -0.15737913073305898, -0.1576104541463681, -0.1570970258647888, -0.15583082483553845, -0.15381000733565053, -0.15103899777883, -0.14752850602112044, -0.14329547026950995, -0.13836292583041487, -0.13275980107109264, -0.12652064308559163, -0.11968527663651796, -0.112298400964713, -0.10440913000154994, -0.09607048236581628, -0.08733882826312489, -0.07827330101781849, -0.06893518144441835, -0.059387263600228835, -0.049693210647935304, -0.03991690959505889, -0.03012183356741227, -0.02037042002002898, -0.010723472899157205, -0.001239596251726427, 0.008025333853098449, 0.017018652958380676, 0.025691342095529146, 0.033998407473214476, 0.041899202485304876, 0.049357689510487024, 0.05634263995513544, 0.0628277719642345, 0.06879182617493362, 0.07421858079731902, 0.07909680816184816, 0.0834201756592663, 0.08718709470501307, 0.09040052197669324, 0.09306771769260114, 0.09519996611669779, 0.09681226378767449, 0.09792298117646525, 0.09855350357902504, 0.09872785705296883 ], [ -0.11035920749252082, -0.11328771350298528, -0.11567912304912809, -0.11750292205407464, -0.1187327929456028, -0.11934697651926052, -0.11932858573750948, -0.11866586626434428, -0.11735239927385588, -0.11538724289832647, -0.11277500958259656, -0.10952587757036047, -0.10565553574735254, -0.10118506208763178, -0.09614073697324566, -0.09055379366526961, -0.08446010917655333, -0.07789983971513892, -0.07091700571500259, -0.06355903223172987, -0.05587625114089256, -0.04792137212449643, -0.039748929856310955, -0.031414715093076584, -0.022975197541599268, -0.014486948399489386, -0.006006070361556315, 0.0024123573518337604, 0.010714811747161823, 0.018849829867253254, 0.026768477511105004, 0.0344247773851718, 0.041776091951021055, 0.048783457038931166, 0.05541186314588731, 0.06163048221255463, 0.0674128385606283, 0.07273692355243555, 0.07758525439315678, 0.0819448783174761, 0.08580732417300929, 0.08916850412062183, 0.09202856880593724, 0.09439171990867656, 0.0962659844401268, 0.09766295552968596, 0.09859750471643403, 0.09908747094068593, 0.09915333151481232, 0.09881786034570572 ], [ -0.07841617353057284, -0.08071070172636108, -0.08254453800451667, -0.08389143072201644, -0.08472883158490241, -0.08503821484649032, -0.08480535359413821, -0.0840205484828569, -0.0826788049378846, -0.08077995559142992, -0.07832872552841375, -0.0753347387773633, -0.07181246538025432, -0.06778110929214987, -0.0632644382807559, -0.05829055790045046, -0.05289163248735007, -0.047103556945477854, -0.04096558385323679, -0.034519911100113765, -0.0278112358531879, -0.02088628114084634, -0.01379330171874571, -0.006581576144079282, 0.000699107875204108, 0.007998967770424859, 0.015268733057313355, 0.022460138170447674, 0.029526394750584162, 0.03642263738078122, 0.04310633729243096, 0.04953767916868079, 0.055679896847357746, 0.06149956445403881, 0.06696684026366606, 0.07205566138070463, 0.07674388812804356, 0.0810133978286105, 0.08485012843660655, 0.08824407321382433, 0.09118922833847032, 0.09368349596806302, 0.09572854584529877, 0.0973296390281928, 0.09849541773778725, 0.09923766564406522, 0.09957104315137388, 0.09951280239826121, 0.09908248675468156, 0.09830161958498862 ], [ -0.04978870881067832, -0.05151733382793933, -0.052855356118623575, -0.053780405723806046, -0.05427335922717447, -0.05431861971479646, -0.05390435861920584, -0.05302271532302294, -0.051669950991007685, -0.04984655376424496, -0.04755729317426538, -0.04481122240555746, -0.04162162783761869, -0.038005926117856914, -0.03398550983846649, -0.029585543698567696, -0.024834713811873854, -0.01976493355509823, -0.014411010029337978, -0.008810275813049717, -0.0030021912094222447, 0.00297207737625671, 0.009070096960161367, 0.015248619206668312, 0.02146403703991706, 0.027672840310624336, 0.033832064285400865, 0.03989972492763516, 0.045835235240080374, 0.051599797332671615, 0.05715676535536107, 0.062471974984620315, 0.06751403576162684, 0.07225458323757872, 0.07666848857323139, 0.08073402395231644, 0.0844329828878061, 0.08775075521273434, 0.09067635724039036, 0.09320241824019782, 0.09532512499408496, 0.09704412676423746, 0.09836240350799974, 0.09928610061285648, 0.09982433378845212, 0.09998896804012247, 0.09979437485749987, 0.09925717188229344, 0.0983959493727149, 0.09723098776100914 ], [ -0.02433995021507962, -0.02556740495116072, -0.026468218821415368, -0.027023538110878986, -0.027217334339126875, -0.027036648289816556, -0.02647180037071295, -0.02551656365569488, -0.024168296488851437, -0.022428032122609576, -0.020300523506770585, -0.01779424203156066, -0.014921329742541456, -0.011697505275460873, -0.008141924490516761, -0.004276997504583324, -0.00012816451260500017, 0.004276366557496747, 0.008905916911035483, 0.01372766409090831, 0.01870699487304117, 0.023807878824028572, 0.028993257198941302, 0.03422544165814312, 0.03946651717951166, 0.04467874353781598, 0.04982494981503005, 0.05486891659103876, 0.05977574073861591, 0.06451217810305776, 0.06904695977731423, 0.07335107817827002, 0.07739803967832315, 0.08116408113720097, 0.08462834829980448, 0.0877730346646064, 0.09058348007115136, 0.0930482288925476, 0.09515904833786837, 0.09691090795906976, 0.09830192200770194, 0.09933325678943583, 0.10000900561179571, 0.10033603430646942, 0.10032380062752533, 0.09998415107777481, 0.09933109889580116, 0.09838058704577746, 0.09715024009249107, 0.0956591088176244 ] ], "zauto": true, "zmax": 2.8234114114188213, "zmin": -2.8234114114188213 }, { "autocolorscale": false, "autocontour": true, "colorbar": { "tickfont": { "size": 8 }, "ticksuffix": "", "x": 1, "y": 0.5 }, "colorscale": [ [ 0.0, "rgb(255,247,251)" ], [ 0.14285714285714285, "rgb(236,231,242)" ], [ 0.2857142857142857, "rgb(208,209,230)" ], [ 0.42857142857142855, "rgb(166,189,219)" ], [ 0.5714285714285714, "rgb(116,169,207)" ], [ 0.7142857142857143, "rgb(54,144,192)" ], [ 0.8571428571428571, "rgb(5,112,176)" ], [ 1.0, "rgb(3,78,123)" ] ], "contours": { "coloring": "heatmap" }, "hoverinfo": "x+y+z", "ncontours": 25, "type": "contour", "x": [ 0.0, 0.02040816326530612, 0.04081632653061224, 0.061224489795918366, 0.08163265306122448, 0.1020408163265306, 0.12244897959183673, 0.14285714285714285, 0.16326530612244897, 0.18367346938775508, 0.2040816326530612, 0.22448979591836732, 0.24489795918367346, 0.26530612244897955, 0.2857142857142857, 0.3061224489795918, 0.32653061224489793, 0.3469387755102041, 0.36734693877551017, 0.3877551020408163, 0.4081632653061224, 0.42857142857142855, 0.44897959183673464, 0.4693877551020408, 0.4897959183673469, 0.5102040816326531, 0.5306122448979591, 0.5510204081632653, 0.5714285714285714, 0.5918367346938775, 0.6122448979591836, 0.6326530612244897, 0.6530612244897959, 0.673469387755102, 0.6938775510204082, 0.7142857142857142, 0.7346938775510203, 0.7551020408163265, 0.7755102040816326, 0.7959183673469387, 0.8163265306122448, 0.836734693877551, 0.8571428571428571, 0.8775510204081632, 0.8979591836734693, 0.9183673469387754, 0.9387755102040816, 0.9591836734693877, 0.9795918367346939, 1.0 ], "xaxis": "x2", "y": [ 0.0, 0.02040816326530612, 0.04081632653061224, 0.061224489795918366, 0.08163265306122448, 0.1020408163265306, 0.12244897959183673, 0.14285714285714285, 0.16326530612244897, 0.18367346938775508, 0.2040816326530612, 0.22448979591836732, 0.24489795918367346, 0.26530612244897955, 0.2857142857142857, 0.3061224489795918, 0.32653061224489793, 0.3469387755102041, 0.36734693877551017, 0.3877551020408163, 0.4081632653061224, 0.42857142857142855, 0.44897959183673464, 0.4693877551020408, 0.4897959183673469, 0.5102040816326531, 0.5306122448979591, 0.5510204081632653, 0.5714285714285714, 0.5918367346938775, 0.6122448979591836, 0.6326530612244897, 0.6530612244897959, 0.673469387755102, 0.6938775510204082, 0.7142857142857142, 0.7346938775510203, 0.7551020408163265, 0.7755102040816326, 0.7959183673469387, 0.8163265306122448, 0.836734693877551, 0.8571428571428571, 0.8775510204081632, 0.8979591836734693, 0.9183673469387754, 0.9387755102040816, 0.9591836734693877, 0.9795918367346939, 1.0 ], "yaxis": "y2", "z": [ [ 0.30183494512527903, 0.2869965213272594, 0.27333064994180106, 0.2608544968193779, 0.24959661436916272, 0.23960245495155486, 0.2309387989733679, 0.2236960154849432, 0.2179869566478488, 0.21394143872224755, 0.21169586819758657, 0.2113787193558312, 0.21309404672045085, 0.2169064100981627, 0.22283072847709035, 0.23082930558612957, 0.2408160789001303, 0.25266612991193155, 0.26622755604766646, 0.28133307706311417, 0.29780972182594256, 0.3154859830331966, 0.3341965615838366, 0.35378517780102947, 0.37410600213804174, 0.39502418568524555, 0.416415849371272, 0.4381677737571156, 0.46017693934671766, 0.48235000307331943, 0.5046027554332174, 0.5268595783216373, 0.5490529103860363, 0.5711227204344393, 0.5930159872167435, 0.6146861838536197, 0.6360927661595601, 0.6572006654103406, 0.6779797873629739, 0.6984045203584675, 0.7184532560483, 0.7381079266743324, 0.7573535629249307, 0.7761778762320108, 0.7945708690161909, 0.812524475882444, 0.8300322381651483, 0.8470890135619445, 0.8636907219159826, 0.879834127534493 ], [ 0.2856381679129334, 0.26959226370065364, 0.25468742680791945, 0.24095507196523952, 0.22844269468246603, 0.21722061076648258, 0.20738753563757578, 0.19907338473411246, 0.19243725027870615, 0.18765852911438635, 0.18492017566378172, 0.18438539473618953, 0.18617229094680335, 0.19033333675004419, 0.1968459329231724, 0.20561640389015678, 0.2164947229188816, 0.22929418494398376, 0.24381038923987197, 0.2598361353645002, 0.2771713007684703, 0.2956283515020695, 0.31503472468789456, 0.33523327683869547, 0.35608169646583243, 0.3774514616278792, 0.3992266740690727, 0.42130293538170627, 0.44358633141996673, 0.46599253779323047, 0.48844603410231135, 0.5108794054636839, 0.5332327091330449, 0.5554528871914663, 0.5774932108001063, 0.599312746165114, 0.6208758364664392, 0.6421515973504943, 0.6631134261212677, 0.6837385265389134, 0.704007452244725, 0.7239036723874765, 0.7434131631400763, 0.7625240285722409, 0.7812261538788923, 0.7995108933377926, 0.8173707946528757, 0.8347993605885567, 0.8517908480592097, 0.8683401041394714 ], [ 0.2718543066194762, 0.2545939380126468, 0.23842049996576883, 0.2233769478722044, 0.20952819008122714, 0.19697020006658827, 0.185838322350279, 0.17631235237787968, 0.1686147096601869, 0.16299730790255418, 0.15971408437405404, 0.15898115602229465, 0.1609344438521554, 0.16560014488747582, 0.17289014854580892, 0.1826226655525272, 0.194556943183107, 0.20842814769023485, 0.22397355726608245, 0.24094796409842187, 0.25913034506120647, 0.27832500734342425, 0.2983599050306411, 0.3190838773156174, 0.3403637574863854, 0.3620817782450355, 0.38413340690822323, 0.40642560231096647, 0.4288754283859615, 0.45140894563194384, 0.4739603073669715, 0.4964710004999996, 0.5188891846611371, 0.5411690963773973, 0.5632704956910763, 0.5851581410772948, 0.6068012849240121, 0.6281731864931936, 0.6492506424959428, 0.6700135374712054, 0.6904444173045288, 0.7105280896713814, 0.7302512551177752, 0.7496021720499861, 0.7685703582209631, 0.7871463304774577, 0.8053213836524054, 0.8230874086167345, 0.84043674869144, 0.8573620928970049 ], [ 0.26064493403204037, 0.2422001924151811, 0.22476726079148515, 0.20839541433739805, 0.193161863729934, 0.17918460862637928, 0.16663593787339137, 0.15575342464108896, 0.14684214777382507, 0.14025850652007263, 0.13636619673589684, 0.13546500210733298, 0.13771398242450605, 0.1430864658839841, 0.15138191076201768, 0.1622840390585945, 0.17543073137209955, 0.1904673866808548, 0.2070754744476748, 0.22498163977442898, 0.24395594056105951, 0.2638057081639119, 0.2843686258226994, 0.3055065757193942, 0.327100703929051, 0.3490476636450059, 0.3712568282736838, 0.3936482408281263, 0.4161510950921191, 0.43870258708209375, 0.461247016479881, 0.48373505191192634, 0.5061231006066575, 0.5283727430085922, 0.5504502076497765, 0.5723258721673611, 0.5939737837871583, 0.6153711976280288, 0.6364981344037689, 0.6573369609549217, 0.6778719978793035, 0.6980891586209959, 0.71797562394274, 0.7375195549239562, 0.7567098466408896, 0.7755359236120992, 0.7939875770226621, 0.8120548427416292, 0.8297279182664337, 0.8469971159938938 ], [ 0.25211662802154367, 0.23255926257979653, 0.21392400915962578, 0.1962597988305794, 0.1796479014383594, 0.1642193772507887, 0.15017636146728994, 0.1378144355385579, 0.12753734644485548, 0.11984522720161088, 0.11526975543642756, 0.11424524606942536, 0.11696034233172226, 0.12328606002761547, 0.13283464133671996, 0.1450966715457643, 0.15956397110281767, 0.17579488655376405, 0.19343108727681077, 0.21218973864636295, 0.23184814788199204, 0.2522288744906108, 0.27318783358559645, 0.29460556150919, 0.31638106256256104, 0.3384275565003919, 0.3606695543935352, 0.38304083378375753, 0.40548300831928913, 0.4279444816792841, 0.4503796438398969, 0.47274821577892884, 0.4950146821746357, 0.5171477748212271, 0.5391199854238656, 0.5609070972753663, 0.5824877325186729, 0.6038429162763476, 0.6249556615951298, 0.6458105804267342, 0.6663935261312653, 0.686691272545137, 0.7066912337367314, 0.7263812273702979, 0.7457492832641662, 0.7647834973842428, 0.7834719302499755, 0.8018025476135644, 0.8197632003461641, 0.8373416397481953 ], [ 0.2463035353663341, 0.22574494101744713, 0.20601498425117748, 0.1871565327297351, 0.16924621179498145, 0.152415954028395, 0.136883061130188, 0.1229889661404175, 0.11123885130571202, 0.10231287498177954, 0.0969869259756787, 0.09590680733346221, 0.09929477832281562, 0.1068335409074284, 0.11784462578911603, 0.13157211555300288, 0.14736215175994447, 0.16471209502339368, 0.1832529955269026, 0.2027154926178199, 0.22289951132873564, 0.24365214192491458, 0.2648526974393126, 0.28640294411510514, 0.3082207901290317, 0.3302362107911675, 0.35238859562777275, 0.374624988340682, 0.39689887963834064, 0.4191693356313394, 0.4414003239860979, 0.46356015184450367, 0.48562096356015716, 0.5075582688022088, 0.5293504864421313, 0.5509784993379039, 0.5724252212522367, 0.5936751807351165, 0.6147141285816043, 0.635528675953839, 0.6561059698123561, 0.676433411232476, 0.6964984207241417, 0.7162882530211183, 0.7357898621133502, 0.7549898156861029, 0.7738742566917521, 0.7924289085754131, 0.8106391197380088, 0.82848994216006 ], [ 0.24315702024029143, 0.22173829502719147, 0.2010636372946081, 0.18116779977747613, 0.16211785773771967, 0.14403705810182435, 0.12714186872961572, 0.11179783762139017, 0.09859380728185774, 0.0884026563366682, 0.08231548426565334, 0.08127936277518304, 0.08554041334583855, 0.09447111635129643, 0.10700366187266236, 0.12212719862439342, 0.13908346025199791, 0.157353234896398, 0.17658762928195426, 0.19654787836785179, 0.21706453767050848, 0.23801202962017273, 0.25929318038885085, 0.28082986236853863, 0.3025572986112685, 0.32442055591753177, 0.3463723451446536, 0.3683715986447332, 0.3903825034791305, 0.4123737947510861, 0.434318190524849, 0.4561918980732652, 0.4779741519337269, 0.49964676403331637, 0.5211936788577365, 0.5426005346395459, 0.5638542362962814, 0.5849425483101813, 0.6058537165572654, 0.6265761277339486, 0.6470980138533342, 0.6674072075791764, 0.6874909521699606, 0.707335767714294, 0.7269273733096506, 0.7462506629913781, 0.7652897316446117, 0.7840279458819415, 0.8024480539673741, 0.8205323283090894 ], [ 0.24254672986799453, 0.22042238588088475, 0.19897707743696935, 0.1782403688100422, 0.15827182753511626, 0.13918544428622345, 0.12119048219274879, 0.10465997000602133, 0.09023784983717914, 0.07896317179348634, 0.07225248582710153, 0.07138939467281986, 0.07660188421233985, 0.08685887838596776, 0.10069661237739246, 0.1169167461688875, 0.13472171146731252, 0.15361226820832852, 0.1732737904069376, 0.19350043317008397, 0.21415060398449248, 0.23512161137764376, 0.2563352049350311, 0.277729220080316, 0.2992526688512557, 0.32086279672759344, 0.3425232679585582, 0.36420299602526307, 0.3858753358083692, 0.40751747014230505, 0.4291098928766096, 0.4506359332368262, 0.47208129306720337, 0.4934335855378557, 0.5146818746120532, 0.5358162210697204, 0.5568272444531169, 0.5777057117737496, 0.5984421637775956, 0.6190265884434912, 0.6394481495343572, 0.6596949757218139, 0.6797540133056341, 0.699610943054076, 0.7192501593632621, 0.738654807896472, 0.7578068762009242, 0.7766873305545843, 0.7952762914790238, 0.8135532399469654 ], [ 0.2442741135114516, 0.2215937573270253, 0.19955222610633705, 0.17818066630208942, 0.15753949159561492, 0.1377430010937859, 0.11900216806209085, 0.10170028308502992, 0.08652066942166683, 0.07461531542418247, 0.0676258758912108, 0.06705125374946114, 0.0730329911926887, 0.08420354604458423, 0.09885081404023142, 0.11569692265786007, 0.13394756706820546, 0.15312847741228053, 0.17295034730780587, 0.19322836291737433, 0.21383784159143923, 0.2346899537047408, 0.2557182314984114, 0.27687090873306724, 0.29810646753109743, 0.31939097759580615, 0.34069644477049593, 0.3619997246631298, 0.38328174471628823, 0.40452688573598805, 0.42572243777334035, 0.44685808433379653, 0.4679253933369829, 0.48891730867056443, 0.5098276457580282, 0.5306506001689557, 0.5513802811042602, 0.5720102823574948, 0.5925333026409416, 0.6129408254028932, 0.6332228658091973, 0.6533677897244421, 0.6733622065701069, 0.6931909350783136, 0.7128370383751188, 0.7322819226431677, 0.7515054919091044, 0.770486350310637, 0.7892020425161226, 0.8076293227583807 ], [ 0.24809527766706532, 0.2249883147210268, 0.20250383154412663, 0.18068237753586122, 0.15959581514335, 0.13937281967158105, 0.12024343452163827, 0.10261800448289035, 0.08721977096733637, 0.07525484812554349, 0.06840929097459082, 0.06815000461025984, 0.07449605138737561, 0.08597697693798448, 0.10085015969364254, 0.1178411822940368, 0.13616402329473173, 0.15535078560575044, 0.1751168505769342, 0.1952813936321642, 0.2157236660114142, 0.23635903597412433, 0.2571256239084473, 0.2779766634222721, 0.2988760134484386, 0.3197954322211411, 0.3407128437677404, 0.3616111602770409, 0.38247740837208394, 0.4033020135203426, 0.4240781600515579, 0.44480118306792216, 0.4654679728646454, 0.48607638780770757, 0.5066246810503997, 0.5271109518505446, 0.5475326347269928, 0.5678860400446024, 0.5881659584172926, 0.6083653390320146, 0.6284750490175162, 0.6484837176541011, 0.6683776658400157, 0.6881409180415432, 0.7077552911469925, 0.727200552351526, 0.7464546364950078, 0.7654939121809511, 0.7842934854981634, 0.8028275301895547 ], [ 0.25374735814624255, 0.23031411099024876, 0.20750529517624758, 0.18537711158969708, 0.16402136079482724, 0.14359231797720792, 0.12435267335959993, 0.10675179906738823, 0.09154814075407496, 0.07994153424260232, 0.07350048903333115, 0.07347650766799169, 0.07979316955778397, 0.0910867670636716, 0.10573782937382857, 0.12252071460378215, 0.14065180874671124, 0.15965132199433849, 0.17922194589848567, 0.1991731335149666, 0.21937779513418784, 0.23974786507672483, 0.260220342173287, 0.28074913269969914, 0.3013001468780462, 0.3218482429910265, 0.34237522754847194, 0.362868456673591, 0.3833197737705577, 0.40372462913148355, 0.42408129366320724, 0.4443901200729621, 0.46465283080307224, 0.4848718283955929, 0.5050495340323204, 0.5251877656621959, 0.5452871696181631, 0.5653467197792748, 0.585363296786397, 0.605331357093394, 0.6252426981812443, 0.6450863224749468, 0.6648483987207647, 0.684512316081315, 0.7040588231969838, 0.723466242083114, 0.7427107450535665, 0.7617666818915011, 0.7806069441848572, 0.7992033540261227 ], [ 0.26097258888358393, 0.2372824568532098, 0.2142295761759684, 0.1918892470224815, 0.17037748638341868, 0.14987893909898076, 0.13069266180529437, 0.11330504738530438, 0.09849103114893676, 0.08739296957678046, 0.08138478453995633, 0.0814655955709845, 0.08751287105480858, 0.09835080402958113, 0.11253924875782553, 0.12892295873609586, 0.14672119503336065, 0.16543483271871812, 0.18474516191656393, 0.20444420769565314, 0.22439228516290266, 0.24449295007620978, 0.2646781802233896, 0.2848994569016468, 0.30512225506992063, 0.32532251645255233, 0.3454842810839053, 0.36559799381838726, 0.38565919963992734, 0.4056674587894041, 0.4256253842881019, 0.4455377492320672, 0.46541063972861085, 0.48525064745776403, 0.5050641070010082, 0.5248563893594534, 0.5446312658135444, 0.5643903563856083, 0.5841326753698662, 0.6038542832877319, 0.6235480507289789, 0.6432035353074578, 0.6628069687824402, 0.6823413475878494, 0.7017866168032664, 0.7211199351403107, 0.7403160068720778, 0.7593474657963935, 0.7781852962325945, 0.7967992766015085 ], [ 0.2695363399577482, 0.24563145221595706, 0.22238058295740945, 0.19987892379919392, 0.17826707810752163, 0.1577591001707336, 0.1386861343072713, 0.12156034878672387, 0.1071510032291988, 0.09651518989880774, 0.09082940732404034, 0.09088516684439123, 0.09655112120828131, 0.10683628272556642, 0.12047616201629914, 0.13639147608384386, 0.15380863232281175, 0.17220933145920173, 0.19125116468621456, 0.2107055950555141, 0.2304171959732801, 0.2502782933515852, 0.27021335800628393, 0.2901693060139117, 0.31010933759805687, 0.3300088937838798, 0.3498528811503253, 0.3696336537322005, 0.3893494435657024, 0.409003054580775, 0.4286007112107554, 0.4481510017913277, 0.46766388816113974, 0.4871497729820506, 0.5066186287844788, 0.5260791998269753, 0.5455382909801978, 0.5650001580254612, 0.5844660117953904, 0.6039336451523809, 0.6233971874928028, 0.642846986802569, 0.6622696147175924, 0.6816479859169579, 0.7009615797560843, 0.7201867494906761, 0.7392971028141091, 0.7582639367126961, 0.7770567097516548, 0.7956435357108679 ], [ 0.2792380074847594, 0.2551399905964398, 0.2317115814871214, 0.20906683438375215, 0.18736882947730316, 0.1668568845601145, 0.147886539183763, 0.1309830093573447, 0.11689402266258209, 0.10658619482009786, 0.10106991663838377, 0.10098895066639203, 0.10622450882016524, 0.11594132817295946, 0.12902574907066292, 0.14447023253674499, 0.16151157223162285, 0.17961482302307347, 0.19841438771216888, 0.21766034945623672, 0.2371801052748071, 0.2568531154836877, 0.27659470681794224, 0.29634567553884555, 0.3160655046518884, 0.3357278109049969, 0.3553171614147848, 0.3748267278014803, 0.3942564493317342, 0.413611504017226, 0.43290096763485, 0.4521365929675392, 0.47133167570106405, 0.49049999556902346, 0.5096548352573456, 0.5288080875887193, 0.5479694651417802, 0.5671458268234917, 0.586340633880178, 0.6055535441506131, 0.6247801486973883, 0.6440118498885499, 0.6632358750424124, 0.6824354152962435, 0.7015898757039524, 0.7206752198838448, 0.7396643908908308, 0.7585277893503878, 0.7772337901628976, 0.795749280115966 ], [ 0.28991554259169194, 0.26563327380875285, 0.24203200276455136, 0.21924269689889478, 0.19744774653218092, 0.1769066518903969, 0.15799162868212566, 0.14123090656340634, 0.1273428867897222, 0.11721133569685642, 0.1117179804106897, 0.11140801827940648, 0.11618642655398681, 0.125344823453845, 0.13789429558092275, 0.1528912373270359, 0.16958408983814627, 0.18742365048361975, 0.20602230640051025, 0.2251087496890992, 0.24449247201619548, 0.2640389836202813, 0.28365323822415783, 0.3032686487831544, 0.32283973745336403, 0.34233709983817956, 0.36174382781123327, 0.3810528450021405, 0.40026480980909185, 0.41938637043915716, 0.43842864083127303, 0.4574058218047771, 0.4763339285143166, 0.49522960945883965, 0.5141090576890349, 0.532987023887343, 0.5518759452637146, 0.5707852048874724, 0.5897205340971952, 0.6086835668069709, 0.6276715495857924, 0.6466772059773547, 0.6656887482086911, 0.684690024657234, 0.7036607875319161, 0.7225770623711835, 0.741411599243162, 0.7601343849190781, 0.7787131956666804, 0.7971141715069118 ], [ 0.3014452584790552, 0.27698217704991707, 0.25320609717847453, 0.23026269791489337, 0.20835040749341718, 0.1877441776112468, 0.16882661182394268, 0.152122352802939, 0.138318336647883, 0.12822737980767568, 0.12263450250055044, 0.12202100039849292, 0.12632122424180134, 0.1349317176753458, 0.14696771744557416, 0.16154225783560167, 0.17791581651169458, 0.19552683760894068, 0.21396683158971744, 0.23294325547687186, 0.2522471782793003, 0.27172926834289757, 0.2912830324935097, 0.31083335254631017, 0.3303286257529502, 0.3497352774567901, 0.3690338084753848, 0.38821582473278904, 0.40728169085988364, 0.4262385792785939, 0.4450987729085988, 0.46387813773330056, 0.4825947205463366, 0.5012674532889195, 0.5199149622776561, 0.5385544907548551, 0.5572009482218743, 0.5758661011546748, 0.5945579179313302, 0.613280076981251, 0.6320316420733285, 0.6508069029978005, 0.6695953742745612, 0.6883819394351438, 0.7071471242399668, 0.7258674791304703, 0.7445160493669691, 0.7630629106402111, 0.7814757483487378, 0.7997204600246577 ], [ 0.31373861097066297, 0.2890988423177727, 0.26514685870798704, 0.24204098712188568, 0.21999279320127857, 0.1992887858413097, 0.1803173102750798, 0.1635954843024702, 0.1497794739519488, 0.1396225784510566, 0.13383686131141712, 0.1328623242352562, 0.13666498996994542, 0.14473092921385666, 0.15626527648754857, 0.17043281337999094, 0.186506863551328, 0.20391544647144288, 0.22223037852679878, 0.24113811535255056, 0.260410866249911, 0.27988363396380656, 0.2994374576923972, 0.3189875794279863, 0.33847513382514327, 0.3578612410690617, 0.37712269736189763, 0.39624871152094543, 0.4152383200174591, 0.43409824062875696, 0.45284101261753024, 0.4714833314485394, 0.4900445271739973, 0.50854516349868, 0.5270057529003018, 0.5454455944765888, 0.5638817470946634, 0.5823281521711244, 0.6007949190214642, 0.6192877820725669, 0.637807734144235, 0.6563508342171249, 0.6749081822682796, 0.6934660484104774, 0.7120061391207934, 0.7305059800433811, 0.7489393928145854, 0.7672770425713525, 0.7854870331519505, 0.8035355282967096 ], [ 0.3267373174176452, 0.30193034192927193, 0.27780774608527986, 0.2545387523062816, 0.23234568935840041, 0.21152360134688328, 0.19246326349275186, 0.175671973931679, 0.16177671915436453, 0.1514803632517087, 0.14543820910043498, 0.14406266176856847, 0.14735135946054229, 0.1548690701001861, 0.1659017270631609, 0.17966378266724328, 0.19544347047819394, 0.212660963237386, 0.23086996670519258, 0.24973642202339907, 0.26901339483407816, 0.2885194876349727, 0.30812230267264606, 0.3277263639477001, 0.3472644247169345, 0.3666911767053115, 0.38597860366072123, 0.405112437640172, 0.4240893455974361, 0.4429145972719647, 0.46160005286942657, 0.4801623703678348, 0.4986213750392492, 0.516998563250476, 0.5353157323787955, 0.553593741161282, 0.5718514116651688, 0.5901045865706336, 0.6083653546145303, 0.6266414537528384, 0.6449358566900509, 0.6632465376606622, 0.6815664134149937, 0.6998834458331223, 0.718180888906699, 0.736437659280748, 0.7546288072793669, 0.7727260643595474, 0.7906984431456525, 0.8085128674147616 ], [ 0.3404077636713395, 0.31545163102419244, 0.2911737714011054, 0.2677528950881189, 0.24542022237272978, 0.22447702559146507, 0.2053141152711775, 0.188427518982237, 0.17441650297004735, 0.16393987989758765, 0.15760640598843284, 0.15580825036321158, 0.15857267030100475, 0.16553490328006895, 0.1760560385015561, 0.18940052444297456, 0.2048751196005657, 0.2218958269538327, 0.24000060768377934, 0.2588358979243624, 0.27813566165651227, 0.2977015602784157, 0.3173869028203032, 0.33708448435531724, 0.3567176005686547, 0.37623342115129316, 0.395598032089543, 0.4147926265143684, 0.433810473142775, 0.45265440730330375, 0.47133467502968396, 0.48986702231169893, 0.5082709654331874, 0.5265682090983186, 0.5447812000889172, 0.5629318178314752, 0.5810402111300227, 0.5991237936776279, 0.6171964108056269, 0.6352676871593635, 0.6533425604298511, 0.6714210006945284, 0.6894979090262958, 0.7075631834176999, 0.7256019352081535, 0.7435948354234414, 0.7615185679158383, 0.7793463649694311, 0.7970486010312984, 0.8145934212821221 ], [ 0.3547352974060375, 0.3296585134853437, 0.3052528216697148, 0.28170531132934346, 0.259254618752465, 0.23820644114788883, 0.21894978082982997, 0.2019682777321188, 0.18783439780059907, 0.1771669288840475, 0.17053394647558978, 0.1683103934126598, 0.17054952931787504, 0.17694994464509256, 0.18694405854138504, 0.1998481879829676, 0.2149926061064035, 0.2317940904428573, 0.2497782823329668, 0.26857390847950763, 0.28789640735133193, 0.30753030186380914, 0.3273139671540895, 0.34712759481598376, 0.36688403683070864, 0.3865219112606364, 0.40600037048977267, 0.42529504742556407, 0.4443948185495878, 0.46329912740665397, 0.482015693363665, 0.5005584910241406, 0.5189459298514656, 0.5371991951899435, 0.5553407339483206, 0.5733928828928456, 0.591376646366376, 0.6093106345097393, 0.6272101736975109, 0.6450865987847424, 0.6629467327044534, 0.6807925537198338, 0.6986210449202063, 0.7164242149674529, 0.7341892741451789, 0.7518989457943648, 0.7695318904497958, 0.7870632184951787, 0.8044650668852383, 0.8217072163012156 ], [ 0.3697187588884852, 0.3445610204530498, 0.32006765101976226, 0.296433222280448, 0.2739025708673213, 0.2527843151844315, 0.2334640822079931, 0.21641205963341617, 0.20217423553366734, 0.19133162854518843, 0.18441459428399282, 0.18178107616658598, 0.1835055148969192, 0.18934292524264942, 0.19879370876359403, 0.21122843583469708, 0.22600671017052695, 0.24255214883419784, 0.26038264841099845, 0.279111993834119, 0.2984384018823312, 0.3181295670385671, 0.33800863162691147, 0.3579425382140035, 0.3778328658766811, 0.39760876416269036, 0.4172215021427714, 0.43664020115777025, 0.4558484108020832, 0.4748412766750026, 0.4936231226334455, 0.512205328089901, 0.5306044243777039, 0.5488403661018068, 0.5669349561483782, 0.5849104185594722, 0.6027881232516619, 0.620587471708693, 0.6383249542503208, 0.6560133881078462, 0.6736613421002094, 0.6912727489401089, 0.7088467007938063, 0.7263774182822378, 0.7438543781530506, 0.7612625807563109, 0.7785829354668089, 0.7957927404237028, 0.8128662323928192, 0.829775183089915 ], [ 0.3853654458200792, 0.36017741162998057, 0.3356487544620775, 0.31198074151294725, 0.28942331767541046, 0.26828664704139354, 0.24895150369330316, 0.2318734844825773, 0.21757193805846478, 0.2065912122356736, 0.19942518308539384, 0.1964134932303153, 0.1976462744378957, 0.20292783403507486, 0.211822777565452, 0.22375783966367663, 0.23812782107319913, 0.25436992551253684, 0.27199989315179307, 0.29062035666431196, 0.30991447303506064, 0.32963407110429144, 0.34958723305535705, 0.3696273409737507, 0.38964410976983355, 0.40955647747598267, 0.4293070124736612, 0.44885747867619014, 0.4681852517438305, 0.4872803479073426, 0.5061428909189739, 0.5247808956558428, 0.5432082884021898, 0.5614431151954206, 0.5795059125641004, 0.5974182310724964, 0.6152013125925593, 0.6328749281870459, 0.6504563857818132, 0.6679597162139201, 0.685395043498569, 0.7027681409619752, 0.7200801698986935, 0.7373275922288135, 0.7545022437633738, 0.7715915505346719, 0.7885788674856433, 0.8054439167844926, 0.8221633021634649, 0.8387110759005315 ], [ 0.4016866198160344, 0.37652890851419707, 0.35202822456448757, 0.3283917542446247, 0.3058734640687805, 0.28478368856925346, 0.265496850804388, 0.24845271779631062, 0.23414353478261116, 0.2230774594019143, 0.21571231711465957, 0.2123675882698736, 0.21314351570443646, 0.21788638890996193, 0.22622037370230846, 0.23762906448269167, 0.25154756296077113, 0.26743344934015634, 0.28480654693563606, 0.30326302378594616, 0.32247401997285047, 0.34217720424490483, 0.36216635066277836, 0.382281404623023, 0.40239994903721227, 0.42243020982162427, 0.4423054231310747, 0.46197929653513403, 0.48142230468883185, 0.5006186035896587, 0.5195633978387271, 0.5382606412174225, 0.5567209888943963, 0.5749599494146143, 0.5929962071217662, 0.6108501019012428, 0.6285422641172226, 0.6460924092409897, 0.663518299707914, 0.6808348817098094, 0.698053602602777, 0.7151819110395947, 0.7322229374418607, 0.7491753475846763, 0.7660333573773406, 0.7827868927940504, 0.7994218756330259, 0.815920613536875, 0.8322622715532277, 0.8484234024153255 ], [ 0.4186936124983013, 0.3936352154436505, 0.3692346384288825, 0.34570413725389365, 0.3233005313463919, 0.30233287209294324, 0.28316766884464606, 0.26622755709034207, 0.2519771050011664, 0.24088856514972526, 0.23338396840782574, 0.22976089196866126, 0.23012453205919198, 0.23435594274612115, 0.24213332958210218, 0.252996253962247, 0.26642380459981874, 0.2819000792665671, 0.29895535274546153, 0.31718461888651656, 0.336250813401843, 0.3558798953370074, 0.375852719432731, 0.39599642959581965, 0.41617660791840067, 0.43629057664601234, 0.4562618493255886, 0.4760355696709782, 0.4955747394645997, 0.514857052083461, 0.5338721819164419, 0.5526194164005875, 0.5711055502664957, 0.5893429887772377, 0.6073480280480578, 0.6251392964165257, 0.642736351964277, 0.6601584383564629, 0.6774234048148261, 0.6945467968961067, 0.711541123412865, 0.7284153019010978, 0.7451742810825999, 0.7618188343301918, 0.7783455137041162, 0.7947467500922354, 0.8110110816619079, 0.8271234904178039, 0.8430658252513831, 0.8588172894620312 ], [ 0.4363945601141197, 0.4115108524819139, 0.38728898811853474, 0.36394531189456236, 0.34173819602551037, 0.3209738485435986, 0.30200924895745934, 0.28524861276884844, 0.2711283208173005, 0.2600851047729251, 0.2525056770848686, 0.24866449717335568, 0.24866734030049395, 0.2524232459656344, 0.2596583397949636, 0.26996567627661494, 0.282870238539011, 0.29788755382544224, 0.31456427664726233, 0.33249970316366423, 0.3513529064530927, 0.37084122880143316, 0.39073461592150177, 0.41084858718277883, 0.4310373031153425, 0.4511873523988445, 0.47121242548796116, 0.4910488281147737, 0.5106517072731078, 0.5299918480027039, 0.549052914181568, 0.5678290315628906, 0.5863226374333079, 0.6045425446596552, 0.6225021871734582, 0.6402180288944359, 0.6577081289688913, 0.6749908634262134, 0.6920838074256469, 0.7090027836842236, 0.725761081963541, 0.7423688521709085, 0.7588326702182968, 0.7751552717785365, 0.7913354449388993, 0.807368068870447, 0.8232442823181823, 0.8389517631895643, 0.8544750988978335, 0.8697962264315802 ], [ 0.4547917753959874, 0.4301622994046724, 0.40620163658354114, 0.38312908286342484, 0.3612031223377304, 0.3407254699785567, 0.32204195778562295, 0.3055371986161893, 0.2916190752016063, 0.28068945704393017, 0.27310062544578567, 0.26910340542853556, 0.2688007388045435, 0.27212359971554434, 0.2788397175884121, 0.2885918817070765, 0.3009510683165229, 0.31546756707455725, 0.3317094113110245, 0.3492854103174816, 0.36785531706040386, 0.3871313950914136, 0.4068752173471682, 0.42689236828856547, 0.4470266227153408, 0.4671543939914907, 0.4871797715816178, 0.507030215020843, 0.5266528539287554, 0.5460113011766846, 0.565082881687213, 0.583856191622786, 0.6023289208496915, 0.6205058900864214, 0.6383972705911566, 0.6560169676600244, 0.6733811593831897, 0.6905069891736939, 0.7074114148395108, 0.7241102187869702, 0.7406171837422257, 0.7569434366015293, 0.7730969601267215, 0.7890822686386444, 0.8049002400505058, 0.8205480928993842, 0.8360194937841376, 0.8513047780290349, 0.8663912646053932, 0.8812636454153852 ], [ 0.4738797481506859, 0.44958592659897495, 0.42597024898176383, 0.40325367146202845, 0.3816932346885488, 0.36158447308903907, 0.34326052716100824, 0.327085419975176, 0.313438515366421, 0.30268782979189485, 0.2951525542192728, 0.29106006097781384, 0.2905080235809327, 0.2934441980334615, 0.29967179272212024, 0.30887873362992735, 0.32068051976941575, 0.33466387710681456, 0.3504219716958294, 0.3675776776974874, 0.3857958201437215, 0.4047873087600353, 0.4243082422004652, 0.4441563830340867, 0.4641665740560896, 0.4842059917861559, 0.504169678136693, 0.5239765205513128, 0.5435657067995265, 0.5628936139758443, 0.5819310680852775, 0.6006609097881686, 0.6190758112242847, 0.6371763016791003, 0.6549689727565309, 0.6724648450338289, 0.6896778872069286, 0.7066236853033864, 0.7233182637248625, 0.7397770619055243, 0.7560140705439926, 0.7720411300428455, 0.7878673913578325, 0.8034989363137284, 0.8189385509670102, 0.8341856421357807, 0.8492362840705526, 0.8640833796351963, 0.87871691846032, 0.8931243134004611 ], [ 0.49364374976368447, 0.46976666591688554, 0.4465786182470475, 0.4243008112604875, 0.40318722528260226, 0.3835255605252097, 0.3656348758652823, 0.3498578843424756, 0.33654574348617633, 0.326033976928205, 0.31861042729508826, 0.3144797905737628, 0.313732916606427, 0.316330131857554, 0.32210448131767183, 0.3307840483660347, 0.34202621032552355, 0.3554542944688253, 0.3706889989046955, 0.3873708883779592, 0.40517379496704037, 0.4238109162210885, 0.4430359339623783, 0.46264118895268763, 0.4824543812459356, 0.5023347252288191, 0.5221690809836504, 0.5418683161744691, 0.5613639944099356, 0.5806054015862918, 0.5995568826961364, 0.6181954484758438, 0.6365086117367497, 0.6544924199622956, 0.6721496596094871, 0.689488216291565, 0.7065195825101586, 0.7232575103492876, 0.7397168103971559, 0.7559123001881981, 0.7718579058452977, 0.7875659196161584, 0.8030464139514506, 0.818306810001716, 0.8333515952522756, 0.8481821817881428, 0.8627968936631383, 0.8771910692646157, 0.891357262579546, 0.9052855259743369 ], [ 0.5140590015765758, 0.49067735414791513, 0.46799627796167137, 0.4462357438570469, 0.4256450607394551, 0.40650255080377956, 0.38911202468647, 0.37379447562115775, 0.3608735018596329, 0.3506537965693516, 0.34339389608234744, 0.33927704102069794, 0.33838642380781697, 0.3406916172664023, 0.3460505120050655, 0.3542263717589248, 0.36491506755906583, 0.37777547934395833, 0.3924569548600228, 0.40862033411504706, 0.4259517189094804, 0.4441699178886585, 0.4630292054870174, 0.48231902756415157, 0.5018619529143304, 0.5215107703386056, 0.5411452906277078, 0.5606691666792624, 0.5800068852657334, 0.5991009893110487, 0.6179095386857031, 0.6364037939481377, 0.6545660996931585, 0.6723879448399334, 0.6898681817855069, 0.7070113922126746, 0.7238263929838266, 0.7403248801928984, 0.7565202127303197, 0.7724263385451778, 0.7880568672316494, 0.8034242917936928, 0.8185393606901149, 0.8334105988062382, 0.8480439731281337, 0.8624426958934576, 0.8766071551164876, 0.8905349598499784, 0.904221085516723, 0.9176581032249778 ], [ 0.5350903539891225, 0.512278665949652, 0.49017877847582486, 0.4690079373135888, 0.4490092443570124, 0.4304502773797225, 0.413618704416915, 0.3988137126998853, 0.3863322907674092, 0.3764501901482427, 0.3693988672195247, 0.36534161743118915, 0.36435369018374314, 0.3664113560717394, 0.37139307205401095, 0.37909257830759435, 0.3892405038666678, 0.40152936818602375, 0.41563720034865925, 0.4312466812279083, 0.44805866701071706, 0.46580041406764944, 0.4842295724070107, 0.5031351883672723, 0.5223368068851728, 0.5416824959111525, 0.5610463505920131, 0.5803258227518443, 0.5994390710513454, 0.6183224300534474, 0.6369280384892932, 0.655221635589635, 0.6731805196238067, 0.6907916579059706, 0.7080499379599423, 0.7249565524231568, 0.741517513884508, 0.7577422991853004, 0.7736426252285006, 0.7892313597972652, 0.8045215712304876, 0.8195257201187657, 0.8342549946301553, 0.8487187888648139, 0.8629243210116129, 0.8768763852835094, 0.8905772288737726, 0.9040265427039574, 0.9172215526872969, 0.9301571967192556 ], [ 0.5566924132489036, 0.5345195432940201, 0.5130684952652573, 0.4925523503354904, 0.4732066054262149, 0.4552869552353505, 0.43906432680341007, 0.4248163245338017, 0.4128145260173446, 0.4033077722934162, 0.3965027418620048, 0.39254444742535455, 0.3915002971596934, 0.3933513519026486, 0.39799304984103656, 0.4052453363521971, 0.4148698135267638, 0.42659019543727306, 0.440112391001848, 0.455141587872862, 0.4713950974704594, 0.48861088382656154, 0.506552399669698, 0.5250106207645001, 0.5438041503791707, 0.5627781091318718, 0.5818023344946268, 0.6007692428002899, 0.6195915740931367, 0.6382001472840306, 0.6565416928274748, 0.6745767938830216, 0.6922779469878376, 0.7096277437397569, 0.7266171716636718, 0.7432440324676849, 0.7595114774474371, 0.775426661719519, 0.7909995205797545, 0.8062416722259882, 0.821165451206135, 0.835783076243031, 0.8501059546377538, 0.8641441234165487, 0.877905824955081, 0.8913972121948383, 0.9046221759644302, 0.9175822845179891, 0.930276823356896, 0.9427029218222264 ], [ 0.5788100468908891, 0.5573380251467845, 0.5365958411610852, 0.5167910786502726, 0.4981504171460797, 0.4809167867453712, 0.4653440707767649, 0.45168878860730893, 0.4401984913078163, 0.4310972030091292, 0.4245691122352702, 0.42074265532672084, 0.41967775442062905, 0.4213588611844369, 0.4256954404250074, 0.43252987406406945, 0.4416511093785986, 0.45281135468725425, 0.4657430197492123, 0.4801737362921039, 0.49583825604326764, 0.5124869156540566, 0.5298909685187236, 0.5478453838670583, 0.5661697783989185, 0.5847080749807986, 0.6033273576125278, 0.6219162621558024, 0.6403831321397312, 0.6586540854566657, 0.6766710794109723, 0.6943900235089011, 0.7117789661861453, 0.7288163686727225, 0.7454894727575735, 0.7617927667058585, 0.7777265531835632, 0.7932956235524846, 0.8085080435501706, 0.8233740557112318, 0.8379051036839026, 0.852112982767097, 0.8660091195639946, 0.8796039817169907, 0.8929066164011344, 0.9059243137788973, 0.9186623891340624, 0.9311240750723003, 0.9433105131430626, 0.9552208326121407 ], [ 0.6013791967672676, 0.5806623835721507, 0.5606807642762363, 0.5416352419243955, 0.5237426824804432, 0.5072326357881506, 0.4923419146546202, 0.4793066785602923, 0.4683519576306131, 0.4596790469100017, 0.4534518513099198, 0.449783902998732, 0.4487281431207539, 0.4502714048184433, 0.4543347710735064, 0.4607798019011935, 0.4694194415302439, 0.48003164266165077, 0.4923735843486055, 0.5061947350029644, 0.5212476670797535, 0.5372961961117882, 0.554120922793881, 0.5715225506754222, 0.5893234632293369, 0.6073680342071481, 0.6255220735250185, 0.6436717198063083, 0.6617220043597442, 0.6795952404097405, 0.6972293381667578, 0.7145761090758388, 0.7315995980558961, 0.7482744673616751, 0.7645844469530934, 0.7805208616654581, 0.7960812433625356, 0.8112680354445976, 0.8260873967826041, 0.8405481118525743, 0.8546606132569877, 0.8684361218026977, 0.8818859078284017, 0.8950206755891956, 0.9078500703140833, 0.9203823051890719, 0.9326239031315731, 0.9445795459564684, 0.956252021520698, 0.9676422577766279 ], [ 0.624327930139732, 0.6044124794253379, 0.5852344284706525, 0.566986995324551, 0.5498764659798958, 0.5341186515107255, 0.519933510124051, 0.5075377416363872, 0.4971354228911455, 0.4889071486225351, 0.4829986193783264, 0.4795100496943545, 0.4784879794568418, 0.47992090609374666, 0.4837395803355434, 0.4898219619202939, 0.4980019820375428, 0.5080806775012785, 0.5198380915958362, 0.5330445478687064, 0.5474703424294315, 0.5628933876124474, 0.5791047444231249, 0.5959122467890346, 0.6131425509393807, 0.6306419726279149, 0.6482764439279574, 0.665930863155403, 0.6835080479629253, 0.7009274445431145, 0.7181236998657733, 0.73504516950652, 0.7516524094504834, 0.7679166841365228, 0.7838185128049427, 0.7993462700877159, 0.8144948532834196, 0.8292644268073134, 0.8436592531303684, 0.8576866185993394, 0.8713558615358098, 0.8846775087645464, 0.8976625251493993, 0.9103216788277303, 0.9226650226979444, 0.9347014904315586, 0.9464386029727723, 0.9578822792800368, 0.9690367430723374, 0.9799045156659872 ], [ 0.6475776636261538, 0.6285012606639089, 0.6101609903627604, 0.5927415756537658, 0.5764381845032711, 0.5614527661641636, 0.5479888423923809, 0.5362446771993117, 0.5264049739738378, 0.5186315587126371, 0.513053852760635, 0.5097602238328242, 0.5087914133910845, 0.510137080682747, 0.513736069496667, 0.5194803916719498, 0.5272223083539307, 0.5367834537887547, 0.5479647881536, 0.5605562777572861, 0.574345491630524, 0.5891246544486084, 0.6046960107485037, 0.6208755833779549, 0.637495540688427, 0.654405438641169, 0.6714726016456232, 0.68858187403062, 0.7056349307349566, 0.7225492923791147, 0.7392571520908066, 0.755704091349726, 0.771847739618378, 0.787656416558845, 0.8031077847953322, 0.818187534098894, 0.832888113366423, 0.8472075239043143, 0.8611481856037314, 0.8747158861069827, 0.8879188216769016, 0.9007667369897246, 0.913270169376243, 0.9254398011140625, 0.937285921261044, 0.948817996290919, 0.9600443465441896, 0.9709719233469544, 0.9816061796803581, 0.9919510255939649 ], [ 0.6710445009976401, 0.6528363375395544, 0.6353594040349982, 0.6187893152895544, 0.6033097984818889, 0.5891090236424168, 0.5763746537620764, 0.565287617894346, 0.5560147985909715, 0.5487010629030659, 0.5434613116427285, 0.5403734065679718, 0.5394728832785253, 0.5407502158595673, 0.5441510702418231, 0.5495795373430548, 0.5569038918067652, 0.5659640951331448, 0.576580123750659, 0.5885602553381134, 0.6017086366165728, 0.6158317054891423, 0.6307432809259867, 0.6462683227510694, 0.662245485925246, 0.6785286555771368, 0.6949876652182686, 0.7115083882854433, 0.7279923665762806, 0.7443561081859272, 0.7605301580935505, 0.7764580194271563, 0.7920949835206876, 0.8074069119207568, 0.8223690027343706, 0.8369645662079896, 0.8511838293034756, 0.8650227855250074, 0.8784821037439398, 0.8915661078079803, 0.9042818369836728, 0.9166381955572923, 0.9286451980917992, 0.9403133148627484, 0.9516529198856684, 0.9626738417529778, 0.9733850152966084, 0.9837942299721308, 0.9939079689112348, 1.003731330893367 ], [ 0.6946406330395946, 0.6773215802788436, 0.6607252002234668, 0.6450175765790277, 0.6303708672421949, 0.6169597175712144, 0.6049566279276904, 0.5945263305395654, 0.585819383537325, 0.5789653696584862, 0.5740662595743552, 0.5711906167913506, 0.5703693332835144, 0.5715934622605413, 0.5748144642462236, 0.579946855267266, 0.5868729202317876, 0.5954489088731315, 0.6055120151242369, 0.6168874594703183, 0.6293951162050448, 0.6428553034174946, 0.657093534476582, 0.6719441820508602, 0.687253113875779, 0.7028794229637801, 0.7186964018409623, 0.734591911839477, 0.7504682849837636, 0.7662418757144612, 0.7818423580177624, 0.7972118435715647, 0.8123038796989346, 0.8270823725748366, 0.8415204710035084, 0.85559943863474, 0.869307537103945, 0.8826389386818925, 0.895592684108181, 0.9081716989627122, 0.9203818799078839, 0.9322312602095192, 0.9437292619945302, 0.9548860406714095, 0.9657119248208665, 0.9762169526917972, 0.9864105042716943, 0.9963010258144046, 1.0058958417795865, 1.0152010474403748 ], [ 0.7182757551959481, 0.701858695457094, 0.6861522001374101, 0.6713125745512211, 0.657500447471707, 0.6448773318597284, 0.6336013429719702, 0.6238221596245824, 0.6156754360201322, 0.6092770052984191, 0.6047173355154272, 0.6020567703985755, 0.601322079444405, 0.6025047381305904, 0.6055611680168842, 0.610414924290066, 0.6169605781966129, 0.6250688564979101, 0.6345925039179575, 0.6453723343573661, 0.657243014202538, 0.6700382439886601, 0.6835951392670475, 0.6977577320204557, 0.7123796061984451, 0.7273257412827997, 0.7424736697147721, 0.757714064369744, 0.7729508684481388, 0.7881010684955672, 0.8030941964245969, 0.817871631382688, 0.8323857587528656, 0.8465990321942991, 0.8604829755388836, 0.8740171543353461, 0.8871881415024441, 0.8999884975092117, 0.9124157823616483, 0.9244716141189627, 0.9361607864358166, 0.9474904555475473, 0.9584694050655791, 0.9691073948687122, 0.9794145982474475, 0.9894011293034909, 0.9990766604708682, 1.0084501279698157, 1.017529521096878, 1.0263217495595511 ], [ 0.7418584659794735, 0.7263487466193368, 0.7115341348835919, 0.6975610670884542, 0.6845788242994448, 0.6727362846803684, 0.6621780055228693, 0.6530397364173292, 0.6454435602051593, 0.639492956704999, 0.6352681659058852, 0.632822269163741, 0.6321783889997438, 0.6333283217173599, 0.636232770673593, 0.6408231674323027, 0.647004889615285, 0.6546615438159783, 0.6636599035282094, 0.6738550820500248, 0.6850955683775232, 0.6972278393761672, 0.7101003607613943, 0.7235668833978767, 0.737489018075851, 0.7517381264543573, 0.7661965989773405, 0.7807586061122109, 0.7953304121800656, 0.8098303360451953, 0.8241884337902805, 0.8383459679010464, 0.8522547170969289, 0.8658761716688286, 0.8791806513743712, 0.8921463766083172, 0.9047585185372404, 0.9170082499078098, 0.9288918150361278, 0.9404096348135144, 0.9515654602161859, 0.9623655856265634, 0.9728181311566351, 0.9829324010493024, 0.9927183231019019, 1.002185971919301, 1.0113451766977506, 1.020205212216013, 1.0287745698252464, 1.0370608035416131 ], [ 0.7652976158214332, 0.7506935926173113, 0.736766149906524, 0.7236518996969525, 0.7114890709488715, 0.7004144808325675, 0.6905599793320447, 0.6820484739835844, 0.6749897149718137, 0.6694760923157794, 0.6655787518400866, 0.663344359231167, 0.6627928192833108, 0.6639161863072296, 0.6666788889965348, 0.6710192573377569, 0.6768522055084182, 0.6840728176445963, 0.6925605198484232, 0.7021835073327676, 0.7128031244001809, 0.7242779536575487, 0.7364674435371868, 0.749234975689898, 0.7624503363266693, 0.7759916032032269, 0.7897464918416142, 0.8036132226127729, 0.8175009775839385, 0.8313300159048512, 0.845031511900782, 0.8585471732167842, 0.8718286888708687, 0.8848370498735684, 0.8975417786472125, 0.9099200980035334, 0.9219560658902386, 0.9336396983668576, 0.9449661001445504, 0.9559346193466786, 0.9665480407593946, 0.9768118296186569, 0.9867334358327432, 0.9963216664145363, 1.0055861317754802, 1.0145367694207212, 1.023183446511354, 1.0315356407681036, 1.03960219733185, 1.0473911575218713 ], [ 0.7885035819882555, 0.7747972236391176, 0.7617461802386968, 0.7494773974831596, 0.7381184366995944, 0.7277946789421719, 0.7186261204416139, 0.7107238647345022, 0.7041864727863457, 0.6990963838670659, 0.6955166562221429, 0.6934882870343839, 0.6930283481247588, 0.6941291156721799, 0.696758285097799, 0.7008602595048334, 0.7063583991455372, 0.7131580372629727, 0.7211500163717244, 0.7302144831135315, 0.74022469617274, 0.7510506418039125, 0.7625623044207714, 0.7746324951455282, 0.7871391914807117, 0.799967381833564, 0.8130104379405583, 0.8261710568985615, 0.8393618243262669, 0.8525054534183851, 0.8655347534978137, 0.8783923779350543, 0.8910303963444618, 0.9034097306950525, 0.9154994899334229, 0.9272762331775779, 0.9387231875862692, 0.94982944360769, 0.9605891473727125, 0.9710007074075835, 0.981066030487688, 0.9907897992431121, 1.0001788019882247, 1.009241323138342, 1.0179866004798508, 1.0264243534821842, 1.0345643848053263, 1.0424162552028309, 1.0499890301924115, 1.0572910952107053 ], [ 0.8113894503756659, 0.7985669801655974, 0.7863761871058589, 0.7749346005907638, 0.7643595649424068, 0.7547656800953321, 0.7462619292933491, 0.7389485934917552, 0.7329140944129882, 0.7282319448297627, 0.724958008031697, 0.7231282714235502, 0.7227573171620492, 0.7238376253755667, 0.7263397778043711, 0.7302135513091571, 0.7353898138699557, 0.7417830722876597, 0.7492944794166548, 0.7578150930257305, 0.7672291867769343, 0.7774174408672314, 0.788259878175336, 0.7996384538858241, 0.8114392465426709, 0.8235542324226794, 0.8358826512084065, 0.848331989032409, 0.8608186159867733, 0.8732681205950387, 0.8856153850850748, 0.8978044439848294, 0.9097881657135338, 0.9215277932776338, 0.9329923764433005, 0.9441581241611807, 0.9550077027140392, 0.965529502083436, 0.9757168903602076, 0.9855674735946959, 0.9950823762259661, 1.0042655550797879, 1.0131231578325852, 1.021662934771553, 1.0298937106283783, 1.0378249212326194, 1.0454662177435052, 1.0528271393096054, 1.0599168532150585, 1.066743959941258 ], [ 0.8338720894482085, 0.8219146443113736, 0.8105632499661332, 0.7999263417879927, 0.7901115441657599, 0.7812233440771899, 0.7733605283038733, 0.7666134760321905, 0.7610614301968052, 0.7567698967187414, 0.7537883353622203, 0.7521483045344758, 0.7518622022304358, 0.7529227068516049, 0.7553029687562072, 0.7589575431512886, 0.7638239959872543, 0.7698250652238232, 0.7768712264068051, 0.7848634968004731, 0.7936963157108159, 0.8032603566432581, 0.8134451545173043, 0.8241414629961802, 0.8352432885259632, 0.8466495756834946, 0.8582655411161866, 0.8700036701755917, 0.8817844016472175, 0.8935365326235079, 0.9051973786173594, 0.9167127245127514, 0.9280366007940213, 0.9391309173850885, 0.9499649848631884, 0.9605149501118805, 0.9707631708305672, 0.9806975508078414, 0.9903108555132997, 0.999600025348459, 1.0085655017862982, 1.0172105795823188, 1.025540796226388, 1.0335633678048262, 1.0412866784516472, 1.0487198285963089, 1.0558722452850886, 1.0627533559959923, 1.069372325620369, 1.0757378546873315 ], [ 0.8558731054150643, 0.8447573964244875, 0.8342205107401105, 0.8243621665820552, 0.8152807952819247, 0.8070714388589693, 0.7998234719498566, 0.7936182308501141, 0.7885266558851308, 0.7846070712820669, 0.7819032353478005, 0.7804427899398187, 0.7802362203691944, 0.781276405652694, 0.7835387975332535, 0.7869822200498479, 0.7915502358508879, 0.7971729868677485, 0.8037693899021114, 0.8112495543920977, 0.8195172899430194, 0.8284725829542056, 0.8380139414167687, 0.8480405309026815, 0.858454049479603, 0.8691603121531601, 0.8800705348245743, 0.8911023229353401, 0.9021803809408278, 0.913236965962326, 0.924212113097482, 0.9350536616663319, 0.9457171118225921, 0.9561653400399619, 0.9663682004274949, 0.9763020369432621, 0.9859491295581413, 0.995297095383161, 1.0043382637656117, 1.0130690423939295, 1.0214892895209513, 1.0296017055035716, 1.0374112549495043, 1.0449246288512823, 1.0521497541762939, 1.0590953564829013, 1.0657705792694794, 1.072184661966232, 1.0783466767842143, 1.0842653230787604 ], [ 0.8773196710278788, 0.8670186326317189, 0.8572679691003248, 0.8481590975123151, 0.8397817991154867, 0.832222328616006, 0.8255613954317671, 0.8198720904704507, 0.8152178492770654, 0.8116505547194831, 0.8092088870721212, 0.8079170243668732, 0.8077837803465077, 0.8088022420135014, 0.8109499360297684, 0.8141895168637271, 0.8184699340607533, 0.8237280056167393, 0.8298903024614611, 0.836875237279962, 0.8445952494073299, 0.8529589849646759, 0.8618733854396848, 0.8712456158503639, 0.8809847828977404, 0.8910034120346186, 0.9012186687307564, 0.9115533226340771, 0.9219364635962848, 0.9323039858255191, 0.9425988611569185, 0.9527712251011519, 0.9627783004496817, 0.9725841832351927, 0.9821595151321691, 0.9914810652108488, 1.0005312425186983, 1.0092975593794322, 1.0177720636404786, 1.0259507564000903, 1.0338330100175495, 1.0414209994561936, 1.0487191582289375, 1.0557336684125997, 1.062471992380019, 1.0689424520847424, 1.0751538599464525, 1.0811152036565246, 1.0868353855861703, 1.0923230159693074 ], [ 0.8981452232554715, 0.8886286413953629, 0.8796331294454186, 0.8712422453576442, 0.863537668324547, 0.8565975054821534, 0.850494507534906, 0.8452942579750095, 0.8410534132135509, 0.8378180792566865, 0.8356224126844729, 0.8344875282922368, 0.8344207824049493, 0.8354154802851808, 0.8374510300959138, 0.8404935373397925, 0.8444968058165482, 0.849403687031592, 0.8551477020874273, 0.8616548497830433, 0.8688455121495924, 0.8766363731320128, 0.8849422760166422, 0.8936779585834007, 0.9027596199181377, 0.9121062877276668, 0.9216409686574282, 0.9312915757842353, 0.9409916368240382, 0.9506807936573655, 0.9603051087453062, 0.9698171972118578, 0.9791762051645906, 0.9883476555580046, 0.9973031828679337, 1.0060201772761934, 1.0144813581372027, 1.022674295334228, 1.0305908958110763, 1.0382268711332103, 1.0455812004174594, 1.052655601387383, 1.0594540206730518, 1.0659821527913405, 1.0722469955313116, 1.0782564477496726, 1.0840189538796594, 1.0895431978035515, 1.0948378471672862, 1.0999113477588935 ], [ 0.9182900276216256, 0.9095251392191175, 0.9012515017316597, 0.8935452710189186, 0.8864805685966983, 0.8801279704783732, 0.8745529333309671, 0.869814214337724, 0.8659623503440851, 0.8630382673508908, 0.8610720919138771, 0.8600822306579397, 0.8600747727411148, 0.8610432533477326, 0.862968795600706, 0.8658206257327451, 0.8695569343190995, 0.874126037129856, 0.8794677745217448, 0.8855150793460668, 0.8921956403643374, 0.8994335906434515, 0.9071511572915172, 0.9152702188319739, 0.9237137280832157, 0.9324069703493999, 0.9412786380461764, 0.9502617129157459, 0.9592941553700063, 0.9683194071336216, 0.9772867183188548, 0.986151313541383, 0.9948744139239148, 1.0034231330828398, 1.0117702656821377, 1.019893987062087, 1.0277774819606762, 1.035408519556623, 1.042778991054766, 1.049884424861746, 1.0567234930985043, 1.0632975217914233, 1.0696100155956823, 1.0756662063513664, 1.081472633175773, 1.087036760178128, 1.0923666362733422, 1.0974706000001615, 1.1023570307486332, 1.1070341464045372 ], [ 0.9377016092540384, 0.9296536674947297, 0.9220669597614829, 0.9150107028720843, 0.9085519946829763, 0.9027544695663525, 0.8976769127750334, 0.8933718825618987, 0.8898843955424905, 0.8872507342976187, 0.8854974357125692, 0.8846405134994881, 0.8846849587157322, 0.8856245484279238, 0.8874419760992397, 0.8901092993465931, 0.8935886831780284, 0.8978334013639596, 0.9027890465805833, 0.9083948922452514, 0.9145853458135305, 0.9212914344479015, 0.9284422686920789, 0.9359664371292968, 0.9437932939239756, 0.9518541106699399, 0.9600830732914142, 0.9684181132824964, 0.9768015699679368, 0.9851806865611188, 0.9935079475746742, 1.0017412686989686, 1.009844052755982, 1.0177851269356997, 1.025538577401038, 1.03308349765933, 1.0404036669716674, 1.0474871746070231, 1.0543260050223688, 1.060915598119069, 1.0672543976306446, 1.073343399468815, 1.0791857105192293, 1.084786126959612, 1.0901507396956522, 1.0952865730006036, 1.1002012609321967, 1.1049027646162322, 1.1093991320620333, 1.1136983008423609 ], [ 0.9563350527331471, 0.9489678541727093, 0.9420319618820373, 0.9355901154521592, 0.9297029076882942, 0.9244275915138036, 0.9198168619524881, 0.9159176553374738, 0.9127700126287501, 0.9104060558604183, 0.9088491256654319, 0.908113123203379, 0.9082020916880095, 0.9091100615435638, 0.9108211698797345, 0.9133100506307303, 0.9165424776598358, 0.9204762306434772, 0.9250621436486678, 0.9302452896792764, 0.9359662513484768, 0.9421624280939932, 0.9487693335210331, 0.955721841855294, 0.962955349347171, 0.9704068240418983, 0.9780157249742959, 0.985724779063945, 0.9934806104407895, 1.0012342224357467, 1.0089413369624554, 1.0165625995216214, 1.0240636606632672, 1.0314151465590191, 1.0385925324897172, 1.0455759336605606, 1.0523498279204306, 1.0589027247703184, 1.0652267945670737, 1.0713174711171911, 1.0771730399534662, 1.082794223529384, 1.0881837733815898, 1.09334607802715, 1.0982867940069831, 1.1030125060883513, 1.1075304212276431, 1.1118480995011013, 1.1159732238671471, 1.119913409360231 ], [ 0.9741531746790999, 0.9674295454992201, 0.9611076403424353, 0.95524417641633, 0.9498937409882533, 0.9451077351469165, 0.9409333046190878, 0.93741229386755, 0.9345802630475122, 0.9324656086020646, 0.931088826908627, 0.9304619562431415, 0.9305882254864251, 0.9314619288457157, 0.9330685350766411, 0.9353850281495353, 0.9383804649887406, 0.94201672576904, 0.9462494240655551, 0.9510289384562515, 0.956301524205099, 0.9620104633498177, 0.9680972135746102, 0.9745025201873644, 0.9811674607788134, 0.9880343981486993, 0.9950478233284434, 1.0021550765949359, 1.0093069399529477, 1.0164580994732584, 1.0235674800161219, 1.0305984582275949, 1.0375189623053975, 1.0443014689594203, 1.0509229093232573, 1.0573644963931856, 1.0636114869607283, 1.0696528910353724, 1.0754811414855001, 1.081091736107955, 1.0864828636113084, 1.0916550241000065, 1.096610653607396, 1.1013537610746493, 1.1058895849388692, 1.110224275206898, 1.1143646055820269, 1.1183177189101068, 1.1220909079504435, 1.1256914322851506 ] ] }, { "hoverinfo": "text", "legendgroup": "In-sample", "marker": { "color": "black", "opacity": 0.5, "symbol": 1 }, "mode": "markers", "name": "In-sample", "text": [ "Arm 0_0
hartmann6: -0.298539 (SEM: 0)
x1: 0.705081
x2: 0.498923
x3: 0.285351
x4: 0.411926
x5: 0.236553
x6: 0.266599", "Arm 10_0
hartmann6: -1.19642 (SEM: 0)
x1: 0.164658
x2: 0.399565
x3: 0.999721
x4: 0.260179
x5: 0.365281
x6: 0.77874", "Arm 11_0
hartmann6: -0.00483557 (SEM: 0)
x1: 0.913499
x2: 0.78212
x3: 0.48507
x4: 0.835334
x5: 0.61879
x6: 0.364737", "Arm 12_0
hartmann6: -0.39065 (SEM: 0)
x1: 6.61078e-15
x2: 0.144692
x3: 1
x4: 0
x5: 0.116906
x6: 0.675539", "Arm 13_0
hartmann6: -0.933401 (SEM: 0)
x1: 0.0992452
x2: 0.535423
x3: 0.525477
x4: 0.273995
x5: 0.088508
x6: 0.739896", "Arm 14_0
hartmann6: -2.49462 (SEM: 0)
x1: 0.206521
x2: 0.359337
x3: 0.651527
x4: 0.265737
x5: 0.368923
x6: 0.65741", "Arm 15_0
hartmann6: -2.66951 (SEM: 0)
x1: 0.114444
x2: 0.223341
x3: 0.603657
x4: 0.1894
x5: 0.378021
x6: 0.700528", "Arm 16_0
hartmann6: -0.926424 (SEM: 0)
x1: 4.66363e-17
x2: 0.547938
x3: 0.58312
x4: 0.00734268
x5: 0.395898
x6: 0.624606", "Arm 17_0
hartmann6: -2.34028 (SEM: 0)
x1: 0.0428148
x2: 0.0772581
x3: 0.573762
x4: 0.237931
x5: 0.410639
x6: 0.745959", "Arm 18_0
hartmann6: -2.88122 (SEM: 0)
x1: 0.239366
x2: 0.208031
x3: 0.566588
x4: 0.251335
x5: 0.364124
x6: 0.745589", "Arm 19_0
hartmann6: -1.40465 (SEM: 0)
x1: 0.231448
x2: 0.169424
x3: 0.581724
x4: 0.433365
x5: 0.340042
x6: 0.386524", "Arm 1_0
hartmann6: -0.000929956 (SEM: 0)
x1: 0.466739
x2: 0.819481
x3: 0.79219
x4: 0.992929
x5: 0.997639
x6: 0.868091", "Arm 20_0
hartmann6: -2.06896 (SEM: 0)
x1: 0.414961
x2: 0.226812
x3: 0.549333
x4: 0.203675
x5: 0.402669
x6: 0.770999", "Arm 21_0
hartmann6: -2.23665 (SEM: 0)
x1: 0.215843
x2: 0.134775
x3: 0.566613
x4: 0.0736216
x5: 0.329948
x6: 0.723956", "Arm 22_0
hartmann6: -1.66888 (SEM: 0)
x1: 0.209111
x2: 0.129212
x3: 0.502776
x4: 0.221008
x5: 0.365751
x6: 0.938014", "Arm 23_0
hartmann6: -3.12961 (SEM: 0)
x1: 0.204412
x2: 0.177078
x3: 0.530801
x4: 0.323482
x5: 0.347161
x6: 0.690332", "Arm 24_0
hartmann6: -2.84528 (SEM: 0)
x1: 0.17764
x2: 0.214336
x3: 0.458648
x4: 0.387122
x5: 0.322559
x6: 0.712061", "Arm 25_0
hartmann6: -3.01878 (SEM: 0)
x1: 0.234215
x2: 0.11416
x3: 0.584072
x4: 0.320887
x5: 0.267669
x6: 0.668836", "Arm 26_0
hartmann6: -2.36395 (SEM: 0)
x1: 0.225177
x2: 0.137175
x3: 0.540939
x4: 0.301405
x5: 0.463517
x6: 0.658319", "Arm 27_0
hartmann6: -3.31416 (SEM: 0)
x1: 0.212105
x2: 0.136658
x3: 0.465255
x4: 0.268311
x5: 0.317926
x6: 0.655422", "Arm 28_0
hartmann6: -3.17009 (SEM: 0)
x1: 0.285306
x2: 0.10115
x3: 0.388179
x4: 0.284548
x5: 0.318776
x6: 0.662453", "Arm 2_0
hartmann6: -0.949098 (SEM: 0)
x1: 0.0530491
x2: 0.020073
x3: 0.0366354
x4: 0.225606
x5: 0.519191
x6: 0.624623", "Arm 3_0
hartmann6: -0.129369 (SEM: 0)
x1: 0.806284
x2: 0.669242
x3: 0.541517
x4: 0.681674
x5: 0.277379
x6: 0.0230054", "Arm 4_0
hartmann6: -0.0627015 (SEM: 0)
x1: 0.977593
x2: 0.236893
x3: 0.899005
x4: 0.592799
x5: 0.480273
x6: 0.469512", "Arm 5_0
hartmann6: -0.204014 (SEM: 0)
x1: 0.225579
x2: 0.573577
x3: 0.398026
x4: 0.0019963
x5: 0.723035
x6: 0.883623", "Arm 6_0
hartmann6: -0.0968974 (SEM: 0)
x1: 0.263049
x2: 0.274412
x3: 0.649553
x4: 0.7791
x5: 0.760074
x6: 0.64028", "Arm 7_0
hartmann6: -0.825015 (SEM: 0)
x1: 0.502612
x2: 0.907456
x3: 0.146624
x4: 0.31324
x5: 0.0058557
x6: 0.22628", "Arm 8_0
hartmann6: -0.0131546 (SEM: 0)
x1: 0.575007
x2: 0.112595
x3: 0.748071
x4: 0.0709495
x5: 0.898011
x6: 0.111376", "Arm 9_0
hartmann6: -0.406945 (SEM: 0)
x1: 0.315668
x2: 0.697814
x3: 0.235376
x4: 0.521162
x5: 0.148681
x6: 0.525512" ], "type": "scatter", "x": [ 0.7050811648368835, 0.16465811152011156, 0.9134986093267798, 6.610784868850124e-15, 0.09924515168527911, 0.20652080427075026, 0.1144438511450537, 4.6636300211109217e-17, 0.04281479896478467, 0.23936550453463132, 0.23144766339619133, 0.4667387865483761, 0.41496096303464797, 0.21584328197799588, 0.20911114821343021, 0.20441188402027688, 0.1776397708387647, 0.23421469645588353, 0.22517742184194386, 0.21210469693083644, 0.28530593701284984, 0.05304907541722059, 0.8062837133184075, 0.9775928882881999, 0.225578592158854, 0.2630487959831953, 0.5026117376983166, 0.575006827712059, 0.31566846556961536 ], "xaxis": "x", "y": [ 0.49892258644104004, 0.39956475514918566, 0.7821204252541065, 0.14469201244901667, 0.5354225206578843, 0.35933661500130765, 0.22334124784534187, 0.5479378874349394, 0.07725808470858174, 0.2080313107536036, 0.16942358170023816, 0.8194814072921872, 0.22681184330923695, 0.13477494962505673, 0.12921186341977747, 0.17707817019179636, 0.21433596884849432, 0.11416048021955004, 0.13717483564594038, 0.1366575022175512, 0.10115041315680225, 0.020073040388524532, 0.6692415978759527, 0.23689312115311623, 0.5735767157748342, 0.2744124745950103, 0.9074562918394804, 0.11259475164115429, 0.6978135770186782 ], "yaxis": "y" }, { "hoverinfo": "text", "legendgroup": "In-sample", "marker": { "color": "black", "opacity": 0.5, "symbol": 1 }, "mode": "markers", "name": "In-sample", "showlegend": false, "text": [ "Arm 0_0
hartmann6: -0.298539 (SEM: 0)
x1: 0.705081
x2: 0.498923
x3: 0.285351
x4: 0.411926
x5: 0.236553
x6: 0.266599", "Arm 10_0
hartmann6: -1.19642 (SEM: 0)
x1: 0.164658
x2: 0.399565
x3: 0.999721
x4: 0.260179
x5: 0.365281
x6: 0.77874", "Arm 11_0
hartmann6: -0.00483557 (SEM: 0)
x1: 0.913499
x2: 0.78212
x3: 0.48507
x4: 0.835334
x5: 0.61879
x6: 0.364737", "Arm 12_0
hartmann6: -0.39065 (SEM: 0)
x1: 6.61078e-15
x2: 0.144692
x3: 1
x4: 0
x5: 0.116906
x6: 0.675539", "Arm 13_0
hartmann6: -0.933401 (SEM: 0)
x1: 0.0992452
x2: 0.535423
x3: 0.525477
x4: 0.273995
x5: 0.088508
x6: 0.739896", "Arm 14_0
hartmann6: -2.49462 (SEM: 0)
x1: 0.206521
x2: 0.359337
x3: 0.651527
x4: 0.265737
x5: 0.368923
x6: 0.65741", "Arm 15_0
hartmann6: -2.66951 (SEM: 0)
x1: 0.114444
x2: 0.223341
x3: 0.603657
x4: 0.1894
x5: 0.378021
x6: 0.700528", "Arm 16_0
hartmann6: -0.926424 (SEM: 0)
x1: 4.66363e-17
x2: 0.547938
x3: 0.58312
x4: 0.00734268
x5: 0.395898
x6: 0.624606", "Arm 17_0
hartmann6: -2.34028 (SEM: 0)
x1: 0.0428148
x2: 0.0772581
x3: 0.573762
x4: 0.237931
x5: 0.410639
x6: 0.745959", "Arm 18_0
hartmann6: -2.88122 (SEM: 0)
x1: 0.239366
x2: 0.208031
x3: 0.566588
x4: 0.251335
x5: 0.364124
x6: 0.745589", "Arm 19_0
hartmann6: -1.40465 (SEM: 0)
x1: 0.231448
x2: 0.169424
x3: 0.581724
x4: 0.433365
x5: 0.340042
x6: 0.386524", "Arm 1_0
hartmann6: -0.000929956 (SEM: 0)
x1: 0.466739
x2: 0.819481
x3: 0.79219
x4: 0.992929
x5: 0.997639
x6: 0.868091", "Arm 20_0
hartmann6: -2.06896 (SEM: 0)
x1: 0.414961
x2: 0.226812
x3: 0.549333
x4: 0.203675
x5: 0.402669
x6: 0.770999", "Arm 21_0
hartmann6: -2.23665 (SEM: 0)
x1: 0.215843
x2: 0.134775
x3: 0.566613
x4: 0.0736216
x5: 0.329948
x6: 0.723956", "Arm 22_0
hartmann6: -1.66888 (SEM: 0)
x1: 0.209111
x2: 0.129212
x3: 0.502776
x4: 0.221008
x5: 0.365751
x6: 0.938014", "Arm 23_0
hartmann6: -3.12961 (SEM: 0)
x1: 0.204412
x2: 0.177078
x3: 0.530801
x4: 0.323482
x5: 0.347161
x6: 0.690332", "Arm 24_0
hartmann6: -2.84528 (SEM: 0)
x1: 0.17764
x2: 0.214336
x3: 0.458648
x4: 0.387122
x5: 0.322559
x6: 0.712061", "Arm 25_0
hartmann6: -3.01878 (SEM: 0)
x1: 0.234215
x2: 0.11416
x3: 0.584072
x4: 0.320887
x5: 0.267669
x6: 0.668836", "Arm 26_0
hartmann6: -2.36395 (SEM: 0)
x1: 0.225177
x2: 0.137175
x3: 0.540939
x4: 0.301405
x5: 0.463517
x6: 0.658319", "Arm 27_0
hartmann6: -3.31416 (SEM: 0)
x1: 0.212105
x2: 0.136658
x3: 0.465255
x4: 0.268311
x5: 0.317926
x6: 0.655422", "Arm 28_0
hartmann6: -3.17009 (SEM: 0)
x1: 0.285306
x2: 0.10115
x3: 0.388179
x4: 0.284548
x5: 0.318776
x6: 0.662453", "Arm 2_0
hartmann6: -0.949098 (SEM: 0)
x1: 0.0530491
x2: 0.020073
x3: 0.0366354
x4: 0.225606
x5: 0.519191
x6: 0.624623", "Arm 3_0
hartmann6: -0.129369 (SEM: 0)
x1: 0.806284
x2: 0.669242
x3: 0.541517
x4: 0.681674
x5: 0.277379
x6: 0.0230054", "Arm 4_0
hartmann6: -0.0627015 (SEM: 0)
x1: 0.977593
x2: 0.236893
x3: 0.899005
x4: 0.592799
x5: 0.480273
x6: 0.469512", "Arm 5_0
hartmann6: -0.204014 (SEM: 0)
x1: 0.225579
x2: 0.573577
x3: 0.398026
x4: 0.0019963
x5: 0.723035
x6: 0.883623", "Arm 6_0
hartmann6: -0.0968974 (SEM: 0)
x1: 0.263049
x2: 0.274412
x3: 0.649553
x4: 0.7791
x5: 0.760074
x6: 0.64028", "Arm 7_0
hartmann6: -0.825015 (SEM: 0)
x1: 0.502612
x2: 0.907456
x3: 0.146624
x4: 0.31324
x5: 0.0058557
x6: 0.22628", "Arm 8_0
hartmann6: -0.0131546 (SEM: 0)
x1: 0.575007
x2: 0.112595
x3: 0.748071
x4: 0.0709495
x5: 0.898011
x6: 0.111376", "Arm 9_0
hartmann6: -0.406945 (SEM: 0)
x1: 0.315668
x2: 0.697814
x3: 0.235376
x4: 0.521162
x5: 0.148681
x6: 0.525512" ], "type": "scatter", "x": [ 0.7050811648368835, 0.16465811152011156, 0.9134986093267798, 6.610784868850124e-15, 0.09924515168527911, 0.20652080427075026, 0.1144438511450537, 4.6636300211109217e-17, 0.04281479896478467, 0.23936550453463132, 0.23144766339619133, 0.4667387865483761, 0.41496096303464797, 0.21584328197799588, 0.20911114821343021, 0.20441188402027688, 0.1776397708387647, 0.23421469645588353, 0.22517742184194386, 0.21210469693083644, 0.28530593701284984, 0.05304907541722059, 0.8062837133184075, 0.9775928882881999, 0.225578592158854, 0.2630487959831953, 0.5026117376983166, 0.575006827712059, 0.31566846556961536 ], "xaxis": "x2", "y": [ 0.49892258644104004, 0.39956475514918566, 0.7821204252541065, 0.14469201244901667, 0.5354225206578843, 0.35933661500130765, 0.22334124784534187, 0.5479378874349394, 0.07725808470858174, 0.2080313107536036, 0.16942358170023816, 0.8194814072921872, 0.22681184330923695, 0.13477494962505673, 0.12921186341977747, 0.17707817019179636, 0.21433596884849432, 0.11416048021955004, 0.13717483564594038, 0.1366575022175512, 0.10115041315680225, 0.020073040388524532, 0.6692415978759527, 0.23689312115311623, 0.5735767157748342, 0.2744124745950103, 0.9074562918394804, 0.11259475164115429, 0.6978135770186782 ], "yaxis": "y2" } ], "layout": { "annotations": [ { "font": { "size": 14 }, "showarrow": false, "text": "Mean", "x": 0.25, "xanchor": "center", "xref": "paper", "y": 1, "yanchor": "bottom", "yref": "paper" }, { "font": { "size": 14 }, "showarrow": false, "text": "Standard Error", "x": 0.8, "xanchor": "center", "xref": "paper", "y": 1, "yanchor": "bottom", "yref": "paper" } ], "autosize": false, "height": 450, "hovermode": "closest", "legend": { "orientation": "h", "x": 0, "y": -0.25 }, "margin": { "b": 100, "l": 35, "pad": 0, "r": 35, "t": 35 }, "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0.0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1.0, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0.0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1.0, "#f0f921" ] ], "type": "heatmap" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0.0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1.0, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0.0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1.0, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermap": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermap" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0.0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1.0, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0.0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1.0, "#f0f921" ] ], "sequentialminus": [ [ 0.0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1.0, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "hartmann6" }, "width": 950, "xaxis": { "anchor": "y", "autorange": false, "domain": [ 0.05, 0.45 ], "exponentformat": "e", "range": [ 0.0, 1.0 ], "tickfont": { "size": 11 }, "tickmode": "auto", "title": { "text": "x1" }, "type": "linear" }, "xaxis2": { "anchor": "y2", "autorange": false, "domain": [ 0.6, 1 ], "exponentformat": "e", "range": [ 0.0, 1.0 ], "tickfont": { "size": 11 }, "tickmode": "auto", "title": { "text": "x1" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": false, "domain": [ 0, 1 ], "exponentformat": "e", "range": [ 0.0, 1.0 ], "tickfont": { "size": 11 }, "tickmode": "auto", "title": { "text": "x2" }, "type": "linear" }, "yaxis2": { "anchor": "x2", "autorange": false, "domain": [ 0, 1 ], "exponentformat": "e", "range": [ 0.0, 1.0 ], "tickfont": { "size": 11 }, "tickmode": "auto", "type": "linear" } } }, "text/html": [ "
\n", "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "render(plot_contour(model=model, param_x=\"x1\", param_y=\"x2\", metric_name=\"hartmann6\"))" ] }, { "cell_type": "code", "execution_count": 8, "id": "678aff8f", "metadata": { "execution": { "iopub.execute_input": "2025-01-31T05:12:33.994359Z", "iopub.status.busy": "2025-01-31T05:12:33.993856Z", "iopub.status.idle": "2025-01-31T05:12:34.571504Z", "shell.execute_reply": "2025-01-31T05:12:34.570263Z" }, "papermill": { "duration": 0.696811, "end_time": "2025-01-31T05:12:34.594139", "exception": false, "start_time": "2025-01-31T05:12:33.897328", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "linkText": "Export to plot.ly", "plotlyServerURL": "https://plot.ly", "showLink": false }, "data": [ { "autocolorscale": false, "autocontour": true, "colorbar": { "tickfont": { "size": 8 }, "ticksuffix": "", "x": 0.45, "y": 0.5 }, "colorscale": [ [ 0.0, "rgb(247,252,253)" ], [ 0.125, "rgb(229,245,249)" ], [ 0.25, "rgb(204,236,230)" ], [ 0.375, "rgb(153,216,201)" ], [ 0.5, "rgb(102,194,164)" ], [ 0.625, "rgb(65,174,118)" ], [ 0.75, "rgb(35,139,69)" ], [ 0.875, "rgb(0,109,44)" ], [ 1.0, "rgb(0,68,27)" ] ], "contours": { "coloring": "heatmap" }, "hoverinfo": "x+y+z", "ncontours": 25, "type": "contour", "x": [ 0.0, 0.02040816326530612, 0.04081632653061224, 0.061224489795918366, 0.08163265306122448, 0.1020408163265306, 0.12244897959183673, 0.14285714285714285, 0.16326530612244897, 0.18367346938775508, 0.2040816326530612, 0.22448979591836732, 0.24489795918367346, 0.26530612244897955, 0.2857142857142857, 0.3061224489795918, 0.32653061224489793, 0.3469387755102041, 0.36734693877551017, 0.3877551020408163, 0.4081632653061224, 0.42857142857142855, 0.44897959183673464, 0.4693877551020408, 0.4897959183673469, 0.5102040816326531, 0.5306122448979591, 0.5510204081632653, 0.5714285714285714, 0.5918367346938775, 0.6122448979591836, 0.6326530612244897, 0.6530612244897959, 0.673469387755102, 0.6938775510204082, 0.7142857142857142, 0.7346938775510203, 0.7551020408163265, 0.7755102040816326, 0.7959183673469387, 0.8163265306122448, 0.836734693877551, 0.8571428571428571, 0.8775510204081632, 0.8979591836734693, 0.9183673469387754, 0.9387755102040816, 0.9591836734693877, 0.9795918367346939, 1.0 ], "xaxis": "x", "y": [ 0.0, 0.02040816326530612, 0.04081632653061224, 0.061224489795918366, 0.08163265306122448, 0.1020408163265306, 0.12244897959183673, 0.14285714285714285, 0.16326530612244897, 0.18367346938775508, 0.2040816326530612, 0.22448979591836732, 0.24489795918367346, 0.26530612244897955, 0.2857142857142857, 0.3061224489795918, 0.32653061224489793, 0.3469387755102041, 0.36734693877551017, 0.3877551020408163, 0.4081632653061224, 0.42857142857142855, 0.44897959183673464, 0.4693877551020408, 0.4897959183673469, 0.5102040816326531, 0.5306122448979591, 0.5510204081632653, 0.5714285714285714, 0.5918367346938775, 0.6122448979591836, 0.6326530612244897, 0.6530612244897959, 0.673469387755102, 0.6938775510204082, 0.7142857142857142, 0.7346938775510203, 0.7551020408163265, 0.7755102040816326, 0.7959183673469387, 0.8163265306122448, 0.836734693877551, 0.8571428571428571, 0.8775510204081632, 0.8979591836734693, 0.9183673469387754, 0.9387755102040816, 0.9591836734693877, 0.9795918367346939, 1.0 ], "yaxis": "y", "z": [ [ 0.9671294311947749, 0.9674542804178855, 0.9681803828202145, 0.9693091987579727, 0.9708416293532733, 0.9727780115036888, 0.9751181140938883, 0.9778611354261347, 0.9810057018826951, 0.9845498678298176, 0.9884911167693148, 0.9928263637402579, 0.9975519589693508, 1.0026636927653183, 1.008156801648613, 1.0140259757043857, 1.0202653671427113, 1.0268686000470724, 1.0338287812878468, 1.0411385125748882, 1.0487899036190558, 1.0567745863704707, 1.0650837302966636, 1.0737080586620449, 1.0826378657665023, 1.091863035098303, 1.1013730583538361, 1.1111570552745822, 1.121203794248837, 1.1315017136240801, 1.1420389436737308, 1.1528033291603463, 1.1637824524356908, 1.1749636570168096, 1.186334071576245, 1.1978806342832395, 1.209590117432286, 1.221449152295052, 1.2334442541308746, 1.2455618472913557, 1.2577882903548157, 1.2701099012259953, 1.2825129821379062, 1.2949838444926807, 1.307508833479583, 1.3200743524094878, 1.3326668867062268, 1.3452730274971083, 1.3578794947460926, 1.3704731598755269 ], [ 0.9673112978096213, 0.9676581881530532, 0.9684070527750309, 0.9695593424460266, 0.9711159473239346, 0.9730771919612418, 0.9754428315177981, 0.9782120491954873, 0.9813834549083315, 0.9849550851973227, 0.9889244043964505, 0.9932883070520189, 0.9980431215941392, 1.0031846152554993, 1.0087080002288293, 1.0146079410508184, 1.0208785631966886, 1.0275134628660092, 1.034505717936711, 1.0418479000611747, 1.0495320878743908, 1.0575498812812818, 1.065892416787009, 1.074550383831089, 1.0835140420830462, 1.092773239654743, 1.1023174321818818, 1.1121357027246275, 1.1222167824348943, 1.1325490719361067, 1.1431206633588187, 1.1539193629741746, 1.1649327143654449, 1.1761480220766738, 1.187552375676105, 1.199132674171373, 1.2108756507125487, 1.2227678975186071, 1.2347958909626238, 1.2469460167510469, 1.259204595132186, 1.2715579060697255, 1.283992214317431, 1.2964937943320107, 1.3090489549620605, 1.321644063852056, 1.3342655715018643, 1.346900034923625, 1.359534140839569, 1.3721547283662994 ], [ 0.9678864846966393, 0.9682561042608268, 0.969028233728191, 0.9702043130631153, 0.9717852204798292, 0.9737712674502172, 0.976162194919789, 0.9789571707484672, 0.9821547883894559, 0.9857530668159274, 0.989749451701485, 0.994140817856939, 0.9989234729219989, 1.0040931623071538, 1.009645075376932, 1.015573852862453, 1.0218735954873859, 1.0285378737876105, 1.035559739102053, 1.0429317357077204, 1.0506459140694986, 1.0586938451714492, 1.0670666358933738, 1.075754945393244, 1.0847490024533697, 1.0940386237451536, 1.10361323296474, 1.1134618807895407, 1.1235732656030695, 1.1339357549334588, 1.14453740754927, 1.155365996154135, 1.1664090306204677, 1.1776537817011195, 1.189087305156355, 1.2006964662330988, 1.212467964432333, 1.2243883585000113, 1.2364440915766601, 1.248621516440879, 1.260906920781573, 1.2732865524347063, 1.2857466445205763, 1.298273440418182, 1.3108532185147987, 1.3234723166692033, 1.3361171563291798, 1.348774266244774, 1.3614303057208574, 1.374072087354247 ], [ 0.9688560732700346, 0.969249097380201, 0.9700449804683261, 0.9712451504735231, 0.9728504726899956, 0.9748612447781184, 0.977277192985944, 0.9800974695978459, 0.9833206516235753, 0.9869447407373348, 0.9909671644730509, 0.9953847786782135, 1.0001938712250042, 1.0053901669737884, 1.0109688339804122, 1.016924490934915, 1.0232512158158151, 1.029942555740472, 1.0369915379883856, 1.0443906821710678, 1.0521320135184165, 1.0602070772486376, 1.0686069539851057, 1.0773222761810035, 1.08634324550915, 1.0956596511720955, 1.1052608890844469, 1.1151359818774877, 1.1252735996731562, 1.1356620815729666, 1.1462894578050489, 1.157143472470917, 1.1682116068319792, 1.179481103074497, 1.1909389884904351, 1.2025721000107137, 1.2143671090267498, 1.2263105464356547, 1.2383888278438344, 1.2505882788641571, 1.262895160441602, 1.2752956941426685, 1.28777608734462, 1.300322558261014, 1.3129213607413124, 1.3255588087831887, 1.3382213006976509, 1.3508953428685937, 1.3635675730501333, 1.376224783146837 ], [ 0.9702205759902334, 0.9706376656696919, 0.9714577760233538, 0.9726823217493483, 0.974312154250073, 0.9763475566495562, 0.9787882400226944, 0.9816333408536502, 0.9848814197362276, 0.988530461326211, 0.9925778755515674, 0.9970205000830881, 1.0018546040640175, 1.0070758930938788, 1.0126795154578072, 1.0186600695889658, 1.025011612748361, 1.031727670902164, 1.0388012497737573, 1.046224847043733, 1.0539904656680839, 1.0620896282811463, 1.0705133926470307, 1.0792523681199528, 1.0882967330711675, 1.097636253237025, 1.1072603009406254, 1.1171578751364317, 1.1273176222252368, 1.1377278575848135, 1.1483765877593461, 1.1592515332490347, 1.1703401518401149, 1.1816296624133609, 1.1931070691688663, 1.2047591862033304, 1.2165726623755684, 1.2285340063955288, 1.240629612071465, 1.2528457836504328, 1.2651687611865157, 1.2775847458724547, 1.2900799252702888, 1.3026404983774063, 1.3152527004658092, 1.3279028276329474, 1.3405772610042268, 1.3532624905287125, 1.3659451383111443, 1.3786119814254487 ], [ 0.9719799325053492, 0.9724217329545002, 0.9732665278160104, 0.9745157173364559, 0.9761701380611665, 0.9782300578603538, 0.9806951721686753, 0.9835646014549335, 0.986836889935268, 0.9905100055392617, 0.994581341135528, 0.9990477170185864, 1.0039053846562898, 1.0091500316925477, 1.0147767881967096, 1.0207802341473158, 1.027154408134282, 1.0338928172599513, 1.0409884482155904, 1.0484337795072736, 1.056220794800648, 1.0643409973516387, 1.0727854254863534, 1.0815446690909152, 1.0906088870684896, 1.099967825718315, 1.1096108379889094, 1.1195269035547606, 1.1297046496640197, 1.140132372702162, 1.1507980604148493, 1.161689414731252, 1.1727938751278557, 1.1840986424709694, 1.1955907032754947, 1.2072568543160298, 1.2190837275261484, 1.2310578151207605, 1.2431654948765596, 1.2553930555048989, 1.2677267220523645, 1.2801526812637412, 1.29265710684342, 1.3052261845514743, 1.317846137071912, 1.3305032485916106, 1.3431838890298624, 1.3558745378599566, 1.368561807465801, 1.3812324659788893 ], [ 0.9741335070848287, 0.9746006461701521, 0.9754705651190018, 0.9767446485233082, 0.9784237171140261, 0.9805080227990215, 0.9829972449151596, 0.9858904877112065, 0.9891862790748969, 0.9928825705138326, 0.9969767383963181, 1.0014655864544444, 1.006345349548266, 1.0116116986860304, 1.0172597472916285, 1.0232840587073255, 1.0296786549152908, 1.0364370264586154, 1.043552143538592, 1.051016468261672, 1.0588219680059912, 1.0669601298741462, 1.075421976195781, 1.0841980810404157, 1.0932785876977809, 1.1026532270805944, 1.1123113370016249, 1.1222418822744975, 1.1324334755857617, 1.1428743990828325, 1.153552626621334, 1.1644558466127974, 1.175571485412797, 1.1868867311876312, 1.1983885581971554, 1.2100637514294548, 1.221898931523652, 1.2338805799152044, 1.2459950641388733, 1.2582286632236872, 1.2705675931148634, 1.2829980320576087, 1.2955061458785786, 1.3080781131012722, 1.320700149832671, 1.333358534359871, 1.3460396313961003, 1.3587299159179842, 1.3714159965367503, 1.3840846383485483 ], [ 0.976680087358927, 0.9771731741159585, 0.9780686378238732, 0.9793678462262345, 0.9810716032921609, 0.9831801442689335, 0.9856931319487333, 0.988609654166664, 0.9919282225429521, 0.9956467724792557, 0.9997626644150948, 1.0042726863466944, 1.0091730576070177, 1.0144594339020772, 1.020126913594677, 1.0261700452233025, 1.032582836240161, 1.0393587629487484, 1.0464907816176268, 1.053971340744071, 1.0617923944371381, 1.0699454168872276, 1.078421417885263, 1.0872109593519979, 1.096304172834987, 1.1056907779276852, 1.115360101562743, 1.1253010981290308, 1.135502370359422, 1.1459521909345747, 1.1566385247455249, 1.1675490517565958, 1.1786711904081846, 1.1899921214979499, 1.2014988124774397, 1.2131780421005214, 1.2250164253590268, 1.2370004386407127, 1.2491164450440613, 1.2613507197847391, 1.2736894756281167, 1.286118888283275, 1.2986251216936497, 1.3111943531611492, 1.3238127982406211, 1.3364667353434105, 1.3491425299896966, 1.3618266586509509, 1.3745057321255962, 1.3871665183927928 ], [ 0.9796178843736626, 0.9801375075279972, 0.9810589165327777, 0.9823834611008367, 0.9841119275036354, 0.9862445336411291, 0.9887809253257666, 0.9917201737971946, 0.9950607744809352, 0.9988006470008612, 1.0029371364512814, 1.0074670159312382, 1.0123864903396151, 1.0176912014259598, 1.0233762340885095, 1.029436123906893, 1.0358648658935943, 1.0426559244443647, 1.0498022444647068, 1.0572962636453729, 1.0651299258572264, 1.0732946956317444, 1.0817815736909393, 1.0905811134868013, 1.0996834387078547, 1.1090782617073993, 1.1187549028053647, 1.1287023104133642, 1.1389090819300405, 1.1493634853517054, 1.1600534815412649, 1.1709667470969594, 1.1820906977602943, 1.1934125123018042, 1.2049191568215802, 1.2165974094010727, 1.2284338850413778, 1.2404150608232056, 1.2525273012231204, 1.2647568835205982, 1.277090023230596, 1.289512899496836, 1.3020116803811574, 1.3145725479854264, 1.3271817233432395, 1.339825491019959, 1.352490223360785, 1.365162404328102, 1.377828652871548, 1.3904757457752053 ], [ 0.9829445339665983, 0.9834912604771322, 0.9844389939788778, 0.9857890649850377, 0.987542241146684, 0.9896987223428957, 0.9922581369840653, 0.9952195395451887, 0.9985814093422807, 1.0023416505615734, 1.0064975935476557, 1.011045997352732, 1.0159830535458054, 1.0213043912767559, 1.0270050835865643, 1.03307965495136, 1.0395220900441726, 1.0463258436948182, 1.0534838520247491, 1.0609885447301035, 1.0688318584830914, 1.0770052514180528, 1.0854997186660453, 1.0943058088979296, 1.1034136418336982, 1.1128129266725462, 1.1224929813956095, 1.1324427528910277, 1.1426508378482667, 1.1531055043670566, 1.163794714223556, 1.174706145735536, 1.1858272171659239, 1.1971451106032178, 1.2086467962560445, 1.220319057097935, 1.2321485137980175, 1.244121649872446, 1.256224836991386, 1.2684443603761186, 1.2807664442209359, 1.2931772770748704, 1.3056630371190356, 1.3182099172756299, 1.3308041500863173, 1.3434320322980025, 1.3560799490962567, 1.3687343979273967, 1.381382011852531, 1.3940095823783585 ], [ 0.9866570994651408, 0.9872314730936363, 0.9882058877768864, 0.9895816536750097, 0.9913595189109793, 0.9935396646837191, 0.9961217015931682, 0.9991046671937774, 1.002487024789916, 1.006266663482624, 1.0104408994737377, 1.0150064786298982, 1.0199595803048789, 1.025295822415439, 1.0310102677617332, 1.0370974315802228, 1.0435512903127036, 1.0503652915719879, 1.0575323652812059, 1.0650449359596972, 1.0728949361258726, 1.0810738207833832, 1.0895725829542107, 1.0983817702191554, 1.1074915022228942, 1.1168914890985915, 1.126571050763945, 1.1365191370380499, 1.1467243485264622, 1.157174958219532, 1.1678589337468845, 1.1787639602296665, 1.1898774636700287, 1.201186634816558, 1.2126784534426476, 1.2243397129741869, 1.2361570454021553, 1.2481169464151356, 1.2602058006864103, 1.2724099072504471, 1.2847155049032752, 1.2971087975621536, 1.3095759795199657, 1.322103260530834, 1.3346768906642268, 1.3472831848662448, 1.3599085471677843, 1.3725394944810407, 1.3851626799274457, 1.3977649156420555 ], [ 0.9907520757045786, 0.9913546156155048, 0.992356044500837, 0.9937576510315697, 0.9955601629114371, 0.9977637420157617, 1.0003679807404235, 1.0033718995775078, 1.006773945930727, 1.0105719941804714, 1.0147633470041653, 1.0193447379545009, 1.0243123352940955, 1.0296617470815843, 1.0353880275003002, 1.041485684417462, 1.0479486881574025, 1.054770481469606, 1.061943990668256, 1.0694616379164852, 1.0773153546256156, 1.0854965959358513, 1.09399635624202, 1.1028051857248165, 1.1119132078448437, 1.1213101377546062, 1.1309853015798326, 1.140927656520444, 1.1511258117177912, 1.1615680498336836, 1.1722423492841538, 1.1831364070694301, 1.1942376621398845, 1.20553331923657, 1.2170103731433999, 1.2286556332876455, 1.2404557486239978, 1.2523972327376987, 1.2644664891012405, 1.276649836419464, 1.2889335339979207, 1.301303807069536, 1.3137468720155068, 1.3262489614167108, 1.3387963488731258, 1.3513753735299239, 1.36397246425003, 1.3765741633747246, 1.3891671500154414, 1.4017382628217132 ], [ 0.9952253943593364, 0.9958565937540524, 0.9968853450825236, 0.998312914409984, 1.0001400081480094, 1.0023667682219108, 1.004992768445916, 1.0080170121224756, 1.0114379308792059, 1.0152533847526184, 1.0194606635250163, 1.0240564893165138, 1.0290370204310963, 1.0343978564514587, 1.0401340445740452, 1.046240087171832, 1.0527099505689375, 1.059537075007241, 1.0667143857821726, 1.0742343055208192, 1.0820887675724158, 1.0902692304781076, 1.0987666934832558, 1.10757171305308, 1.1166744203488927, 1.1260645396199391, 1.135731407462739, 1.1456639928978165, 1.1558509182108418, 1.1662804805037335, 1.17694067389853, 1.1878192123359268, 1.198903552908189, 1.2101809196648075, 1.2216383278287883, 1.2332626083595077, 1.2450404327981976, 1.2569583383310836, 1.2690027530051566, 1.2811600210313934, 1.2934164281102258, 1.3057582267147665, 1.3181716612674006, 1.3306429931463242, 1.3431585254597989, 1.3557046275264681, 1.368267759001991, 1.3808344935935266, 1.3933915423051664, 1.4059257761597481 ], [ 1.0000724305764583, 1.0007327553657535, 1.0017891115196582, 1.003242741402302, 1.0050943292801036, 1.0073439965204127, 1.0099912979949814, 1.0130352197048629, 1.0164741776397672, 1.0203060178814551, 1.0245280179570493, 1.0291368894445565, 1.0341287818293405, 1.0394992876062497, 1.0452434486190334, 1.05135576362423, 1.0578301970639583, 1.0646601890278042, 1.071838666380624, 1.0793580550299482, 1.0872102933028116, 1.0953868463989136, 1.1038787218836654, 1.1126764861817575, 1.1217702820287225, 1.1311498468354846, 1.1408045319179838, 1.1507233225417444, 1.1608948587285897, 1.1713074567710122, 1.1819491313974195, 1.1928076185298004, 1.2038703985740937, 1.2151247201814124, 1.2265576244182683, 1.2381559692818873, 1.2499064544966279, 1.261795646526956, 1.2738100037416484, 1.2859359016645582, 1.2981596582467672, 1.3104675590954658, 1.322845882595802, 1.3352809248619688, 1.3477590244556583, 1.3602665868102513, 1.3727901083011926, 1.3853161999040273, 1.397831610383683, 1.410323248960014 ], [ 1.0052880108967057, 1.0059778984154506, 1.0070621148786318, 1.008541877877237, 1.0104178487009896, 1.0126901275709423, 1.015358250073469, 1.018421184812387, 1.021877332291978, 1.0257245250405154, 1.0299600289802324, 1.0345805460459703, 1.039582218050947, 1.0449606317949487, 1.0507108254058202, 1.0568272959022251, 1.0633040079614606, 1.0701344038730007, 1.0773114146543739, 1.0848274723033302, 1.092674523155854, 1.1008440423174235, 1.1093270491307365, 1.1181141236408465, 1.1271954240153061, 1.1365607048741506, 1.146199336482309, 1.1561003247539305, 1.1662523320164662, 1.1766436984797135, 1.187262464353381, 1.1980963925548573, 1.2091329919473877, 1.2203595410473844, 1.231763112138562, 1.2433305957297074, 1.255048725291894, 1.2669041022107188, 1.2788832208888061, 1.2909724939334557, 1.3031582773648627, 1.3154268957802333, 1.3277646674102743, 1.3401579290042702, 1.352593060482315, 1.3650565092930051, 1.3775348144171766, 1.390014629959591, 1.4024827482718618, 1.4149261225521355 ], [ 1.010866422444131, 1.0115862802118718, 1.0126985845729486, 1.0142045272983005, 1.0161047458924242, 1.018399318862699, 1.0210877621860237, 1.0241690269897603, 1.0276414984595892, 1.0315029959838737, 1.035750774540307, 1.0403815273271328, 1.0453913896376192, 1.0507759439723947, 1.0565302263814131, 1.0626487340227906, 1.0691254339227572, 1.0759537729172874, 1.0831266887521, 1.090636622314865, 1.0984755309697052, 1.1066349029608464, 1.1151057728492424, 1.1238787379429227, 1.1329439756788997, 1.1422912619115548, 1.151909990060109, 1.1617891910649918, 1.1719175541009461, 1.1822834479921502, 1.1928749432733434, 1.203679834838439, 1.214685665117255, 1.2258797477191254, 1.237249191481308, 1.2487809248591075, 1.260461720593711, 1.272278220593641, 1.2842169609648932, 1.296264397125223, 1.3084069289379643, 1.320630925800867, 1.3329227516266435, 1.345268789651775, 1.357655467011922, 1.3700692790229843, 1.3824968131080044, 1.394924772312341, 1.4073399983504087, 1.4197294941297895 ], [ 1.0168014233617286, 1.0175516278928771, 1.0186922188944858, 1.0202243612973596, 1.0221486680369305, 1.0244651953616126, 1.0271734393343963, 1.0302723335442427, 1.033760248039809, 1.037634989495259, 1.0418938026137103, 1.0465333727706623, 1.0515498298959631, 1.0569387535891521, 1.0626951794596349, 1.068813606679276, 1.0752880067313926, 1.082111833336938, 1.08927803353463, 1.0967790598888363, 1.1046068837953693, 1.1127530098523102, 1.1212084912595859, 1.1299639462082476, 1.1390095752174183, 1.148335179373978, 1.1579301794276369, 1.1677836356914764, 1.1778842686958573, 1.1882204805412153, 1.198780376893848, 1.2095517895663923, 1.2205222996237273, 1.2316792609533889, 1.2430098242385292, 1.2545009612703923, 1.2661394895368725, 1.2779120970227933, 1.2898053671576024, 1.301805803845901, 1.3138998565163496, 1.3260739451249903, 1.3383144850493667, 1.350607911810694, 1.3629407055623073, 1.375299415283599, 1.3876706826202279, 1.4000412653126948, 1.4123980601571953, 1.4247281254443969 ], [ 1.0230862544658543, 1.0238671501331549, 1.0250361967701869, 1.0265945314763838, 1.0285427418601598, 1.0308808613890816, 1.03360836592842, 1.0367241714845064, 1.040226633165535, 1.0441135453693695, 1.0483821432037908, 1.053029105141769, 1.0580505569099201, 1.0634420766054282, 1.0691987010323925, 1.075314933245628, 1.0817847512858723, 1.0886016180869047, 1.0957584925318098, 1.1032478416322307, 1.1110616538003777, 1.1191914531817138, 1.127628315011673, 1.136362881957601, 1.1453853814041233, 1.1546856436370248, 1.164253120878602, 1.174076907124494, 1.1841457587303297, 1.1944481156938265, 1.204972123576427, 1.2157056560066746, 1.2266363377061533, 1.2377515679771753, 1.2490385445905787, 1.260484288010956, 1.2720756658957113, 1.2837994178042942, 1.2956421800531563, 1.3075905106522985, 1.3196309142590747, 1.3317498670855201, 1.3439338416959163, 1.3561693316320254, 1.3684428758042544, 1.3807410825886066, 1.3930506535700065, 1.405358406874484, 1.4176513000343618, 1.4299164523323493 ], [ 1.0297136520895662, 1.0305255500441426, 1.0317231907140583, 1.033307682406553, 1.035279586672645, 1.0376389137015947, 1.0403851188985203, 1.043517100661282, 1.047033199369376, 1.0509311975942681, 1.055208321536636, 1.0598612436928458, 1.064886086749101, 1.0702784286982683, 1.0760333091706096, 1.082145236966319, 1.0886081987737544, 1.0954156690542232, 1.1025606210704761, 1.1100355390325776, 1.1178324313317034, 1.1259428448290396, 1.1343578801639524, 1.1430682080424746, 1.152064086464443, 1.1613353788446663, 1.170871572981034, 1.180661800820147, 1.1906948589685962, 1.2009592298959395, 1.2114431037736997, 1.2221344008927226, 1.233020794599868, 1.2440897346938646, 1.2553284712182633, 1.2667240785896043, 1.2782634799973709, 1.2899334720120303, 1.3017207493372227, 1.3136119296422002, 1.3255935784103303, 1.3376522337403256, 1.349774431037027, 1.361946727529457, 1.3741557265548707, 1.3863881015484947, 1.3986306196801668, 1.4108701650804258, 1.4230937616004036, 1.4352885950517824 ], [ 1.0366758620802203, 1.0375190392315432, 1.038745380939477, 1.0403559657903303, 1.0423513285761872, 1.0447314557361849, 1.047495781975044, 1.0506431880751064, 1.0541719999143864, 1.0580799886998815, 1.0623643724218599, 1.0670218185310754, 1.0720484478376633, 1.0774398396264333, 1.0831910379799317, 1.0892965592972774, 1.0957504009924934, 1.10254605135357, 1.109676500539106, 1.1171342526866648, 1.1249113391032812, 1.1329993325054755, 1.1413893622731381, 1.1500721306783965, 1.1590379300480147, 1.1682766608149053, 1.177777850411891, 1.1875306729583675, 1.1975239696882936, 1.2077462700659127, 1.218185813533419, 1.2288305718336225, 1.239668271848499, 1.2506864188935563, 1.2618723204069402, 1.2732131099708237, 1.2846957716023957, 1.2963071642509385, 1.308034046437371, 1.3198631009724706, 1.3317809596901193, 1.3437742281322946, 1.3558295101230327, 1.3679334321694407, 1.380072667628401, 1.3922339605794938, 1.4044041493450565, 1.4165701896005995, 1.4287191770199745, 1.440838369401793 ], [ 1.0439646549137502, 1.044839352972727, 1.046094470593989, 1.047731055747999, 1.049749615796588, 1.0521501129834374, 1.0549319610957024, 1.0580940233124914, 1.0616346112530823, 1.0655514852338397, 1.0698418557393958, 1.074502386110296, 1.0795291964455405, 1.0849178687149115, 1.0906634530724948, 1.0967604753591915, 1.1032029457784471, 1.109984368725964, 1.1170977537508004, 1.1245356276217962, 1.1322900474700026, 1.1403526149746537, 1.148714491557048, 1.1573664145438034, 1.1662987142581194, 1.1755013319947611, 1.1849638388322605, 1.194675455233157, 1.2046250713809068, 1.2148012682000082, 1.2251923390042747, 1.2357863117158012, 1.246570971596515, 1.257533884432211, 1.2686624201081642, 1.279943776514458, 1.291365003718357, 1.3029130283407397, 1.3145746780731251, 1.3263367062718683, 1.3381858165661948, 1.3501086874170674, 1.3620919965644374, 1.374122445301188, 1.3861867825129823, 1.3982718284243336, 1.4103644979926975, 1.4224518238935568, 1.4345209790416407, 1.4465592985946243 ], [ 1.0515713418842718, 1.0524777664723997, 1.0537617020751429, 1.0554241651873615, 1.0574656351008467, 1.0598860494462192, 1.0626848008994914, 1.0658607350685634, 1.069412149572558, 1.07333679432267, 1.0776318730104717, 1.0822940458052872, 1.087319433259533, 1.0927036214165695, 1.0984416681127593, 1.1045281104612317, 1.1109569735020366, 1.1177217799993078, 1.1248155613628086, 1.1322308696682568, 1.1399597907469328, 1.1479939583124439, 1.156324569089092, 1.1649423989034955, 1.1738378196983292, 1.1830008174241509, 1.1924210107629196, 1.202087670634397, 1.211989740434217, 1.222115856950541, 1.2324543719043934, 1.2429933740565795, 1.2537207118234166, 1.2646240163414255, 1.2756907249203038, 1.2869081048228208, 1.2982632773091944, 1.309743241883211, 1.321334900677173, 1.3330250829122487, 1.3448005693715928, 1.3566481168233409, 1.3685544823313127, 1.380506447392305, 1.3924908418392392, 1.4044945674509681, 1.4165046212107884, 1.4285081181570534, 1.4404923137710337, 1.4524446258491137 ], [ 1.0594867923247069, 1.0604251121521244, 1.0617378743821717, 1.0634260632112844, 1.0654901292539671, 1.0679299851387665, 1.0707450022614047, 1.0739340087107765, 1.077495288380177, 1.0814265812728205, 1.085725085006944, 1.0903874575226393, 1.0954098209889096, 1.1007877669056059, 1.1065163623920269, 1.1125901576497117, 1.1190031945840322, 1.1257490165653772, 1.1328206793076119, 1.1402107628378817, 1.147911384528824, 1.1559142131610762, 1.1642104839805127, 1.1727910147125422, 1.1816462224919047, 1.1907661416648054, 1.2001404424167614, 1.2097584501778265, 1.2196091657542723, 1.2296812861338442, 1.2399632259099298, 1.2504431392682034, 1.261108942477726, 1.2719483368274473, 1.2829488319476385, 1.2940977694550793, 1.3053823468601626, 1.3167896416733367, 1.3283066356483213, 1.3399202390992238, 1.351617315229074, 1.363384704407284, 1.3752092483343208, 1.387077814032693, 1.3989773176039415, 1.4108947476928198, 1.422817188600857, 1.4347318429933116, 1.4466260541447682, 1.458487327670779 ], [ 1.0677014518104826, 1.0686717979255136, 1.0700133614559257, 1.0717270935150112, 1.0738134154667187, 1.0762722145778836, 1.0791028408198038, 1.0823041048350124, 1.0858742770814358, 1.0898110881627603, 1.0941117303505266, 1.098772860299806, 1.1037906029569287, 1.1091605566542122, 1.1148777993830896, 1.1209368962335575, 1.1273319079843576, 1.1340564008250626, 1.14110345718744, 1.148465687660833, 1.1561352439622543, 1.1641038329295876, 1.172362731502521, 1.1809028026534303, 1.1897145122273682, 1.1987879466477256, 1.208112831441724, 1.2176785505372563, 1.2274741662806299, 1.2374884401226989, 1.2477098539189435, 1.2581266317873285, 1.268726762466501, 1.2794980221153462, 1.290427997493956, 1.3015041094652404, 1.3127136367554264, 1.3240437399116631, 1.3354814853942065, 1.3470138697409049, 1.3586278437416206, 1.3703103365608618, 1.3820482797469191, 1.3938286310671801, 1.4056383981096685, 1.4174646615923183, 1.4292945983225096, 1.4411155037513197, 1.4529148140679655, 1.464680127782368 ], [ 1.0762053612958336, 1.0772078264084897, 1.0785781314556528, 1.0803171937222042, 1.0824254047832662, 1.0849026262145895, 1.0877481864444973, 1.0909608787626957, 1.094538960498102, 1.09848015337468, 1.1027816450502006, 1.1074400918404297, 1.1124516226264656, 1.117811843940852, 1.1235158462233463, 1.129558211234595, 1.135933020612266, 1.1426338655505919, 1.149653857581197, 1.1569856404297103, 1.1646214029194921, 1.1725528928904156, 1.1807714320982414, 1.1892679320564026, 1.1980329107801568, 1.207056510389357, 1.2163285155248684, 1.2258383725298578, 1.2355752093464583, 1.2455278560750511, 1.2556848661422733, 1.2660345380222071, 1.2765649374531032, 1.2872639200916283, 1.298119154544646, 1.3091181457182266, 1.3202482584229185, 1.3314967411731409, 1.3428507501193072, 1.354297373050419, 1.3658236534052413, 1.3774166142306985, 1.3890632820263813, 1.4007507104149444, 1.4124660035790315, 1.424196339406575, 1.4359289922874763, 1.447651355506188, 1.4593509631764356, 1.4710155116661239 ], [ 1.0849881771292194, 1.0860228150109186, 1.0874217669190316, 1.0891859156056185, 1.0913156223545455, 1.093810722752258, 1.0966705235916396, 1.0998938009241834, 1.1034787992723445, 1.1074232320109916, 1.1117242829231055, 1.1163786089315162, 1.121382344005352, 1.126731104235648, 1.1324199940721635, 1.1384436137089293, 1.1447960676034965, 1.1514709741107394, 1.1584614762096666, 1.165760253297178, 1.1733595340208103, 1.1812511101185996, 1.189426351231371, 1.1978762206501192, 1.2065912919580584, 1.215561766524617, 1.2247774918057412, 1.2342279804031582, 1.2439024298324013, 1.253789742947905, 1.2638785489713318, 1.2741572250679052, 1.2846139184137197, 1.2952365686961589, 1.3060129309880266, 1.3169305989354252, 1.3279770281986962, 1.3391395600850144, 1.3504054453113699, 1.3617618678362362, 1.3731959686984887, 1.3846948698025268, 1.3962456975890698, 1.4078356065316158, 1.4194518023998999, 1.431081565232344, 1.4427122719609924, 1.454331418634003, 1.465926642182065, 1.4774857416772655 ], [ 1.0940391918917263, 1.0951060168532245, 1.0965334857489046, 1.0983224461356216, 1.1004732285404584, 1.1029856422940858, 1.105858972488098, 1.1090919780717319, 1.1126828910995228, 1.1166294171387612, 1.1209287368418526, 1.1255775086853808, 1.1305718728742353, 1.1359074564057448, 1.1415793792853994, 1.1475822618821017, 1.1539102334077547, 1.1605569415023815, 1.1675155629030012, 1.1747788151709002, 1.1823389694489863, 1.190187864217863, 1.1983169200160402, 1.2067171550873812, 1.2153792019153258, 1.2242933246016992, 1.2334494370448315, 1.2428371218696528, 1.2524456500602654, 1.2622640012434112, 1.2722808845696314, 1.2824847601368954, 1.2928638609005558, 1.3034062150117876, 1.3140996685256732, 1.324931908419473, 1.3358904858607126, 1.3469628396642432, 1.3581363198773635, 1.369398211431656, 1.3807357578008619, 1.3921361846039109, 1.403586723093106, 1.4150746334679463, 1.4265872279563054, 1.4381118936053798, 1.4496361147264036, 1.4611474949385184, 1.4726337787586647, 1.4840828726863453 ], [ 1.103347356000148, 1.1044463424493887, 1.105902162967894, 1.1077156292978356, 1.1098870407818475, 1.112416180260722, 1.1153023110859943, 1.118544175262106, 1.122139992730262, 1.1260874618021475, 1.1303837607488434, 1.1350255505465152, 1.1400089787775036, 1.1453296846813346, 1.1509828053476727, 1.1569629830389236, 1.1632643736275363, 1.1698806561293424, 1.1768050433110941, 1.1840302933472404, 1.1915487224976937, 1.1993522187754686, 1.2074322565698807, 1.2157799121885038, 1.2243858802780936, 1.233240491082112, 1.2423337284902365, 1.2516552488328294, 1.2611944003710394, 1.270940243431604, 1.2808815711332966, 1.291006930650477, 1.3013046449576644, 1.3117628349981083, 1.3223694422177035, 1.3331122514053693, 1.3439789137799334, 1.3549569702630764, 1.3660338748780327, 1.3771970182131712, 1.3884337508900664, 1.3997314069757916, 1.4110773272798993, 1.4224588824770772, 1.4338634959974446, 1.4452786666276196, 1.4566919907668914, 1.4680911842842046, 1.479464103923517, 1.4907987682064516 ], [ 1.1129013000139436, 1.1140323820956184, 1.1155163531797272, 1.1173539886184418, 1.1195455561807512, 1.1220908120165871, 1.1249889977258622, 1.1282388385475228, 1.1318385426799595, 1.1357858017414444, 1.1400777923753012, 1.1447111790018905, 1.1496821177153798, 1.1549862613205384, 1.1606187655008582, 1.166574296106483, 1.1728470375465148, 1.179430702267499, 1.1863185412963653, 1.19350335582276, 1.2009775097931739, 1.2087329434854592, 1.2167611880302551, 1.2250533808422142, 1.2336002819219514, 1.2423922909864966, 1.251419465384045, 1.2606715387462117, 1.2701379403290673, 1.2798078149922596, 1.289670043763519, 1.299713264934672, 1.3099258956333601, 1.3202961538138205, 1.330812080608785, 1.341461562983865, 1.3522323566349757, 1.363112109069083, 1.3740883828080557, 1.3851486786555354, 1.3962804589668723, 1.4074711708623067, 1.4187082693243402, 1.4299792401207432, 1.4412716224958868, 1.4525730315735919, 1.4638711804166056, 1.4751539016888744, 1.4864091688683145, 1.4976251169598036 ], [ 1.122689357583516, 1.1238524289014702, 1.1253643136743456, 1.1272257503338667, 1.1294369747255808, 1.1319977161409525, 1.1349071944445976, 1.13816411831088, 1.141766684581877, 1.1457125787544173, 1.1499989766016696, 1.1546225469305784, 1.159579455473524, 1.1648653699093574, 1.1704754660050982, 1.176404434866812, 1.1826464912844867, 1.1891953831527446, 1.1960444019456, 1.2031863942209653, 1.2106137741267349, 1.2183185368780634, 1.2262922731719597, 1.2345261845028732, 1.2430110993401189, 1.2517374901256442, 1.2606954910478492, 1.2698749165454477, 1.2792652804928693, 1.2888558160168218, 1.298635495891961, 1.3085930534620476, 1.3187170040314389, 1.328995666670476, 1.3394171863777202, 1.3499695565403824, 1.360640641634488, 1.3714182001051785, 1.3822899073677526, 1.3932433788697003, 1.4042661931542297, 1.4153459148661858, 1.4264701176416736, 1.4376264068234013, 1.4488024419447716, 1.459985958926668, 1.4711647919324535, 1.4823268948275041, 1.4934603621919993, 1.5045534498367437 ], [ 1.1326995889754852, 1.1338945023992215, 1.1354340281118331, 1.1373188671400527, 1.139549223095982, 1.1421247982791263, 1.1450447908628907, 1.1483078931800184, 1.1519122911183086, 1.1558556646348452, 1.1601351893935388, 1.1647475395274745, 1.1696888915246042, 1.1749549292315327, 1.1805408499670815, 1.18644137173401, 1.1926507415139167, 1.1991627446271713, 1.2059707151364976, 1.213067547269652, 1.2204457078339137, 1.228097249591414, 1.2360138255624709, 1.2441867042204586, 1.2526067855395473, 1.261264617853948, 1.270150415485269, 1.2792540770916585, 1.2885652046912162, 1.2980731233094172, 1.3077669011991082, 1.3176353705798425, 1.327667148841812, 1.3378506601587081, 1.3481741574524884, 1.3586257446525, 1.3691933991904768, 1.3798649946727068, 1.390628323670352, 1.401471120568633, 1.4123810844162303, 1.4233459017158285, 1.4343532690981484, 1.4453909158216893, 1.4564466260418694, 1.4675082607939842, 1.4785637796359414, 1.4896012618977457, 1.5006089274867906, 1.5115751571992946 ], [ 1.1429198051089113, 1.1441463726649552, 1.1457132307189457, 1.1476210424544862, 1.149869978980809, 1.15245971550621, 1.1553894285852206, 1.1586577944536685, 1.1622629884628075, 1.1662026856207846, 1.1704740622459617, 1.1750737987336426, 1.1799980834347326, 1.1852426176410016, 1.1908026216687142, 1.1966728420291382, 1.20284755967103, 1.2093205992769287, 1.2160853395923332, 1.2231347247631768, 1.2304612766545566, 1.2380571081202156, 1.245913937189933, 1.2540231021388333, 1.2623755774002878, 1.2709619902813851, 1.2797726384378851, 1.2887975080628558, 1.2980262927418285, 1.3074484129247281, 1.3170530359635613, 1.3268290966630378, 1.3367653182901182, 1.3468502339869883, 1.357072208531318, 1.3674194603864867, 1.3778800839840804, 1.3884420721802604, 1.399093338827704, 1.409821741404484, 1.4206151036413173, 1.4314612380893956, 1.442347968570945, 1.4532631524558195, 1.4641947027081244, 1.4751306096478554, 1.4860589623739509, 1.4969679697965148, 1.5078459812274088, 1.5186815064802124 ], [ 1.15333759203544, 1.1545955848842986, 1.156189430930421, 1.1581197551234057, 1.1603866958410214, 1.1629899011358418, 1.1659285260440928, 1.1692012309711974, 1.1728061811649788, 1.1767410472842887, 1.1810030070679254, 1.1855887481052148, 1.190494471706599, 1.1957158978690265, 1.2012482713279973, 1.2070863686848312, 1.2132245065942253, 1.2196565509942603, 1.226375927357957, 1.2333756319422104, 1.2406482440069617, 1.2481859389746612, 1.2559805024974156, 1.2640233453960126, 1.2723055194329609, 1.2808177338789488, 1.2895503728298512, 1.2984935132291817, 1.307636943548872, 1.316970183079592, 1.326482501779619, 1.3361629406302968, 1.3460003324442338, 1.3559833230716682, 1.3661003929490592, 1.376339878933355, 1.3866899963646047, 1.397138861299353, 1.4076745128568189, 1.4182849356198648, 1.428958082032987, 1.4396818947396781, 1.450444328802351, 1.4612333737483234, 1.472037075386606, 1.4828435573409684, 1.4936410422463073, 1.504417872556394, 1.5151625309129872, 1.5258636600276025 ], [ 1.1639403357950686, 1.1652294842940372, 1.1668499384065998, 1.1688022845050614, 1.171086628048628, 1.1737025899043818, 1.1766493037191519, 1.179925414356355, 1.183529077408471, 1.187457959793125, 1.1917092414373431, 1.1962796180512705, 1.201165304989727, 1.2063620421964676, 1.2118651002230443, 1.2176692873106498, 1.2237689575204875, 1.2301580198948183, 1.2368299486279362, 1.2437777942229755, 1.2509941956081374, 1.258471393182048, 1.2662012427563447, 1.2741752303599532, 1.2823844878674129, 1.2908198094111871, 1.2994716685354701, 1.3083302360467137, 1.3173853985144401, 1.326626777373778, 1.3360437485793863, 1.3456254627593165, 1.355360865815407, 1.3652387199163154, 1.375247624827669, 1.3853760395233907, 1.3956123040215587, 1.4059446613876423, 1.4163612798478633, 1.4268502749551395, 1.4373997317505443, 1.447997726863146, 1.4586323504921088, 1.469291728214967, 1.4799640425675429, 1.4906375543414738, 1.5013006235470188, 1.511941729989558, 1.522549493410561, 1.5331126931447638 ], [ 1.1747152475784792, 1.1760352414305275, 1.177681888357608, 1.1796557358596496, 1.1819568563316982, 1.184584843460679, 1.1875388096613597, 1.1908173845650225, 1.194418714571796, 1.1983404634742416, 1.2025798141564252, 1.2071334713704256, 1.2119976655877576, 1.2171681579212956, 1.2226402461091428, 1.2284087715492749, 1.234468127370363, 1.2408122675212314, 1.2474347168582378, 1.2543285822069696, 1.261486564371645, 1.2689009710627586, 1.2765637307109072, 1.284466407131832, 1.2926002150055127, 1.3009560361292931, 1.309524436403338, 1.3182956835039454, 1.327259765198653, 1.3364064082552738, 1.3457250978948907, 1.3552050977379146, 1.364835470190496, 1.3746050972176482, 1.3845027014484592, 1.3945168675578516, 1.4046360638689548, 1.4148486641193356, 1.4251429693346807, 1.4355072297529086, 1.4459296667420867, 1.456398494656035, 1.4669019425715364, 1.4774282758521704, 1.4879658174846102, 1.4985029691339034, 1.5090282318660073, 1.5195302264867185, 1.5299977134480116, 1.5404196122743294 ], [ 1.1856493891264042, 1.186999877614993, 1.188672267104296, 1.1906670659752785, 1.1929843134550664, 1.1956235760909444, 1.1985839452511353, 1.2018640356662103, 1.2054619850214723, 1.2093754546079845, 1.2136016310364526, 1.218137229015469, 1.2229784951922305, 1.2281212130505956, 1.2335607088584846, 1.2392918586533839, 1.245309096251355, 1.2516064222624208, 1.2581774140914717, 1.2650152369016612, 1.2721126555136704, 1.2794620472117892, 1.2870554154250633, 1.2948844042489105, 1.302940313770276, 1.311214116157106, 1.319696472470241, 1.3283777501544385, 1.3372480411623426, 1.3462971806644681, 1.355514766295464, 1.364890177886544, 1.3744125976316923, 1.3840710306348203, 1.3938543257837186, 1.4037511968958458, 1.4137502440806662, 1.4238399752624555, 1.4340088278076848, 1.4442451902006213, 1.4545374237112028, 1.4648738839996678, 1.475242942602395, 1.4856330082447093, 1.496032547926973, 1.5064301077313502, 1.516814333297659, 1.527173989918487, 1.5374979822048216, 1.5477753732754351 ], [ 1.1967296982961197, 1.1981102906055043, 1.1998079378053415, 1.201823108959698, 1.2041558100660643, 1.2068055806076243, 1.209771491119892, 1.2130521417852949, 1.216645662066019, 1.2205497113823573, 1.224761480841096, 1.229277696014971, 1.2340946207715298, 1.2392080621462032, 1.244613376251677, 1.2503054752122718, 1.2562788351091456, 1.2625275049189273, 1.2690451164256225, 1.275824895082502, 1.2828596717979655, 1.2901418956165225, 1.2976636472633802, 1.305416653518426, 1.3133923023833982, 1.3215816590027538, 1.3299754822975807, 1.3385642422690216, 1.3473381379262486, 1.3562871157916998, 1.3654008889353606, 1.3746689564876555, 1.3840806235798104, 1.393625021659081, 1.403291129125269, 1.4130677922345765, 1.4229437462155583, 1.4329076365423645, 1.4429480403094166, 1.4530534876522099, 1.463212483158891, 1.4734135272174098, 1.483645137243775, 1.4938958687375754, 1.5041543361117387, 1.5144092332444048, 1.524649353702237, 1.5348636105856845, 1.5450410559481373, 1.5551708997426652 ], [ 1.2079430147249988, 1.209353280345568, 1.2110756662801994, 1.2131106021270799, 1.2154580606343324, 1.2181175543316467, 1.2210881331636803, 1.2243683831382741, 1.2279564259999238, 1.2318499199355624, 1.2360460613168969, 1.2405415874805754, 1.245332780544195, 1.250415472253111, 1.2557850498503413, 1.2614364629579682, 1.267364231456331, 1.2735624543437165, 1.2800248195564512, 1.286744614726394, 1.2937147388502424, 1.3009277148418743, 1.3083757029367162, 1.3160505149143136, 1.323943629102997, 1.332046206128142, 1.3403491053632108, 1.3488429020410557, 1.357517904980625, 1.3663641748826163, 1.3753715431462459, 1.384529631157354, 1.3938278699972022, 1.4032555205201094, 1.412801693746897, 1.4224553715207238, 1.432205427370962, 1.442040647530658, 1.45194975205262, 1.461921415969409, 1.47194429044236, 1.4820070238454242, 1.492098282729779, 1.5022067726160182, 1.5123212585616275, 1.5224305854522402, 1.5325236979665968, 1.5425896601662328, 1.5526176746625575, 1.5625971013156512 ], [ 1.2192761055215295, 1.2207155747390979, 1.222462146857669, 1.2245162119093862, 1.2268777094152266, 1.2295461250970474, 1.232520488578206, 1.2357993720861418, 1.2393808901665309, 1.2432627004163717, 1.2474420052400255, 1.2519155546292724, 1.2566796499656157, 1.261730148839689, 1.267062470880014, 1.272671604579832, 1.278552115108203, 1.2846981530883912, 1.2911034643235535, 1.297761400447205, 1.3046649304726698, 1.3118066532135897, 1.3191788105445132, 1.3267733014682124, 1.334581696953991, 1.342595255508938, 1.350804939441908, 1.359201431777986, 1.3677751537792067, 1.376516283025775, 1.385414772010197, 1.3944603671953675, 1.4036426284866517, 1.4129509490663157, 1.422374575538491, 1.4319026283314178, 1.441524122303478, 1.4512279874992924, 1.4610030900014503, 1.4708382528238082, 1.4807222767923969, 1.4906439613600544, 1.5005921253016985, 1.5105556272375096, 1.5205233859325182, 1.5304844003216618, 1.5404277692108324, 1.5503427106056669, 1.5602185806214095, 1.5700448919283418 ], [ 1.2307156909142158, 1.232183855382369, 1.233954028180093, 1.2360265597222255, 1.2384013563667193, 1.2410778772078022, 1.244055131844773, 1.2473316791390476, 1.2509056269692858, 1.254774632991582, 1.2589359064088097, 1.2633862107499665, 1.268121867657773, 1.2731387616795513, 1.278432346053278, 1.283997649478214, 1.2898292838559633, 1.2959214529852432, 1.3022679621908315, 1.308862228864061, 1.315697293889745, 1.3227658339314985, 1.3300601745452365, 1.3375723040874925, 1.345293888383698, 1.3532162861184078, 1.3613305649079366, 1.3696275180136528, 1.3780976816522807, 1.3867313528578282, 1.395518607848375, 1.4044493208492517, 1.4135131833231118, 1.4226997235563623, 1.4319983265500589, 1.4413982541633867, 1.4508886654565774, 1.4604586371800226, 1.4700971843563064, 1.4797932809013337, 1.4895358802316843, 1.4993139358045164, 1.5091164215381017, 1.5189323520606486, 1.5287508027365821, 1.5385609294201652, 1.5483519878875003, 1.5581133528993392, 1.5678345368485285, 1.5775052079475014 ], [ 1.2422484697897378, 1.2437447831837631, 1.2455379388942145, 1.2476282477161, 1.250015582949996, 1.2526993772772794, 1.2556786205975012, 1.2589518588402906, 1.2625171937615365, 1.2663722837305473, 1.2705143455121564, 1.2749401570447683, 1.2796460612123643, 1.2846279706055126, 1.289881373263623, 1.2954013393874109, 1.3011825290080496, 1.3072192005964038, 1.313505220592601, 1.3200340738342071, 1.3267988748575048, 1.333792380044898, 1.3410070005878063, 1.3484348162328053, 1.3560675897760146, 1.3638967822685746, 1.3719135688939361, 1.3801088554758842, 1.3884732955739594, 1.3969973081218527, 1.4056710955621297, 1.4144846624298066, 1.4234278343358104, 1.4324902773001096, 1.441661517384086, 1.4509309605698415, 1.460287912834974, 1.4697216003697218, 1.479221189883949, 1.4887758089511882, 1.498374566336916, 1.5080065722588982, 1.517660958527674, 1.527326898515963, 1.5369936269066824, 1.5466504591700394, 1.55628681072167, 1.5658922157146256, 1.5754563454197505, 1.5849690261505547 ], [ 1.2538611450526247, 1.2553850238035005, 1.2572005131603343, 1.2593078843442753, 1.2617069777455163, 1.2643971998813939, 1.2673775213028033, 1.2706464754612419, 1.274202158546032, 1.2780422302982035, 1.2821639158050215, 1.2865640082759429, 1.2912388727982038, 1.2961844510668399, 1.3013962670815615, 1.3068694337996698, 1.312598660731494, 1.3185782624617648, 1.324802168077845, 1.3312639314828243, 1.337956742568773, 1.344873439222993, 1.3520065201374858, 1.3593481583894709, 1.3668902157585467, 1.3746242577437096, 1.3825415692415362, 1.3906331708449806, 1.3988898357199249, 1.407302107015671, 1.4158603157634166, 1.4245545992157607, 1.4333749195788528, 1.4423110830879766, 1.45135275937618, 1.4604895010851517, 1.4697107636667437, 1.479005925323427, 1.4883643070353982, 1.4977751926224436, 1.5072278487885984, 1.5167115450978423, 1.526215573829783, 1.5357292696648694, 1.5452420291492972, 1.5547433298911366, 1.5642227494397742, 1.573669983802655, 1.583074865554265, 1.5924273814939658 ], [ 1.2655404487395316, 1.2670912728461041, 1.2689284159125616, 1.2710521096801972, 1.2734621618167745, 1.2761579529580818, 1.2791384346837484, 1.2824021284396774, 1.2859471254161994, 1.2897710873884918, 1.2938712485230537, 1.2982444181509425, 1.302886984505872, 1.3077949194222356, 1.3129637839853692, 1.318388735123207, 1.3240645331262442, 1.3299855500791966, 1.3361457791856195, 1.3425388449636593, 1.3491580142885473, 1.3559962082551003, 1.3630460148307828, 1.3702997022674783, 1.3777492332381227, 1.385386279661896, 1.3932022381797502, 1.4011882462401257, 1.409335198752875, 1.4176337652678945, 1.4260744076332008, 1.4346473980862031, 1.4433428377303752, 1.4521506753487063, 1.4610607265044766, 1.4700626928789446, 1.4791461817953424, 1.4883007258778855, 1.4975158027945477, 1.5067808550322959, 1.516085309653303, 1.5254185979815846, 1.5347701751694192, 1.5441295395937096, 1.5534862520335833, 1.5628299545809077, 1.5721503892369715, 1.5814374161496894, 1.590681031446985, 1.5998713846237433 ], [ 1.2772731668229866, 1.2788502807403948, 1.280708367804493, 1.2828476204183967, 1.285267813755881, 1.2879683028867956, 1.2909480208227397, 1.2942054774948524, 1.2977387596728949, 1.3015455318319502, 1.305623037970288, 1.3099681043791418, 1.3145771433626803, 1.319446157902671, 1.3245707472608796, 1.3299461135080881, 1.3355670689668135, 1.3414280445514175, 1.3475230989869653, 1.353845928885398, 1.360389879654916, 1.3671479572160925, 1.3741128404956278, 1.381276894666594, 1.3886321851014234, 1.3961704920019957, 1.4038833256690935, 1.4117619423716659, 1.4197973607744494, 1.4279803788809442, 1.4363015914473238, 1.4447514078215484, 1.4533200701605078, 1.461997671977341, 1.470774176970123, 1.479639438082277, 1.488583216744727, 1.4975952022492933, 1.5066650312028778, 1.5157823070116083, 1.5249366193446239, 1.5341175635272464, 1.543314759813905, 1.5525178724915603, 1.5617166287658062, 1.5709008373817037, 1.5800604069337687, 1.5891853638196585, 1.5982658697941625, 1.6072922390815627 ], [ 1.2890461636405548, 1.2906488772426334, 1.292527169776041, 1.2946811944945344, 1.2971106943462745, 1.299814999183459, 1.3027930238780063, 1.3060432673548856, 1.3095638125520022, 1.3133523273127206, 1.3174060662146974, 1.3217218733356464, 1.326296185953935, 1.3311250391792055, 1.3362040715054408, 1.3415285312759626, 1.3470932840472865, 1.3528928208358357, 1.3589212672292372, 1.3651723933405882, 1.3716396245825224, 1.3783160532343866, 1.3851944507742557, 1.392267280944721, 1.399526713519364, 1.4069646387347006, 1.4145726823504983, 1.422342221299157, 1.4302643998837132, 1.4383301464816738, 1.4465301907112122, 1.454855081014342, 1.4632952026108874, 1.471840795775841, 1.480481974392141, 1.4892087447298388, 1.4980110244025169, 1.50687866145117, 1.5158014535057212, 1.5247691669742398, 1.533771556210239, 1.5427983826084888, 1.551839433580462, 1.5608845413611863, 1.5699236015996523, 1.5789465916866008, 1.5879435887737932, 1.5969047874407567, 1.6058205169658866, 1.6146812581605867 ], [ 1.3008464058876201, 1.3024739955007871, 1.3043717271789614, 1.3065397152620215, 1.3089776707800855, 1.3116848987479288, 1.3146602963507867, 1.3179023520332251, 1.321409145499495, 1.3251783486317579, 1.3292072273292341, 1.3334926442691417, 1.3380310625872838, 1.3428185504734493, 1.3478507866739426, 1.3531230668912015, 1.3586303110672104, 1.3643670715352532, 1.3703275420214411, 1.3765055674755213, 1.3828946547070637, 1.3894879838016099, 1.3962784202883969, 1.4032585280290943, 1.4104205827950784, 1.4177565864984554, 1.4252582820401383, 1.4329171687364315, 1.4407245182841395, 1.448671391222111, 1.4567486538463013, 1.4649469955337167, 1.473256946429598, 1.4816688954514134, 1.4901731085620598, 1.4987597472642304, 1.5074188872675225, 1.5161405372789631, 1.524914657868371, 1.5337311803589082, 1.542580025694238, 1.5514511232333756, 1.5603344294250971, 1.5692199463144645, 1.5780977398343272, 1.5869579578362876, 1.5957908478161769, 1.6045867742902817, 1.6133362357804768, 1.6220298813669998 ], [ 1.312660986113574, 1.314312695619476, 1.3162290734007636, 1.3184101951644869, 1.3208557403690364, 1.3235649896032398, 1.3265368228425898, 1.3297697185933806, 1.3332617539334888, 1.3370106054557056, 1.3410135511168306, 1.3452674729930267, 1.3497688609395044, 1.3545138171496478, 1.3594980616059953, 1.3647169384129976, 1.3701654229986195, 1.3758381301693858, 1.381729323000652, 1.3878329225416572, 1.3941425183121339, 1.4006513795651367, 1.4073524672880837, 1.4142384469122, 1.4213017016979912, 1.4285343467626292, 1.4359282437131293, 1.443475015847319, 1.4511660638830635, 1.4589925821745346, 1.4669455753730984, 1.47501587548876, 1.4831941593075537, 1.4914709661187608, 1.4998367157053072, 1.5082817265500577, 1.5167962342100716, 1.5253704098107257, 1.5339943786112737, 1.5426582385935912, 1.5513520790256676, 1.5600659989522985, 1.5687901255651462, 1.5775146324055855, 1.5862297573542121, 1.594925820361846, 1.6035932408779556, 1.6122225549336289, 1.6208044318375077, 1.6293296904445569 ], [ 1.3244771456633486, 1.3261521876677282, 1.3280863929284348, 1.3302797988459043, 1.332732053690776, 1.335442414068091, 1.3384097432435968, 1.3416325103432611, 1.3451087904340808, 1.3488362654921837, 1.3528122262611477, 1.3570335750012068, 1.3614968291271536, 1.3661981257301803, 1.3711332269761445, 1.3762975263703143, 1.381686055875655, 1.3872934938697254, 1.3931141739219424, 1.3991420943711874, 1.4053709286808898, 1.4117940365464758, 1.4184044757276875, 1.4251950145764227, 1.432158145228018, 1.4392860974226906, 1.4465708529211911, 1.4540041604775173, 1.461577551329629, 1.4692823551676928, 1.4771097165378198, 1.4850506116383397, 1.4930958654643147, 1.5012361692550313, 1.5094620981986062, 1.5177641293471822, 1.5261326596953033, 1.534558024374483, 1.5430305149160413, 1.5515403975347961, 1.5600779313860822, 1.568633386749077, 1.577197063089587, 1.585759306956378, 1.5943105296656326, 1.6028412247291912, 1.611341984983254, 1.6198035193751916, 1.6282166693678066, 1.6365724249214813 ], [ 1.336282297009041, 1.3379798540734575, 1.3399310437963994, 1.3421358656420135, 1.344593937114237, 1.3473044913060348, 1.3502663752959496, 1.3534780494025125, 1.3569375873049614, 1.3606426770355025, 1.3645906228463707, 1.3687783479521196, 1.373202398144929, 1.377858946278211, 1.3827437976110633, 1.3878523960037779, 1.39317983095159, 1.3987208454418094, 1.4044698446166817, 1.410420905221854, 1.4165677858180683, 1.422903937731474, 1.4294225167152068, 1.4361163952934666, 1.4429781757566722, 1.450000203774464, 1.4571745825916544, 1.4644931877702723, 1.4719476824393483, 1.4795295330124218, 1.4872300253318493, 1.4950402811970487, 1.5029512752335072, 1.5109538520579688, 1.5190387436944344, 1.5271965871954383, 1.535417942421982, 1.5436933099355898, 1.5520131489557685, 1.5603678953358788, 1.5687479795109514, 1.5771438443709123, 1.585545963013432, 1.5939448563310972, 1.602331110388231, 1.6106953935438855, 1.6190284732781857, 1.6273212326807343, 1.635564686560798, 1.6437499971405556 ], [ 1.348064045418276, 1.3497832713515978, 1.3517505793650508, 1.3539659313998378, 1.3564289146502881, 1.3591387391979797, 1.3620942364782047, 1.3652938585893248, 1.3687356784527087, 1.372417390828839, 1.3763363141924985, 1.380489393467381, 1.3848732036180091, 1.3894839540941122, 1.3943174941204202, 1.3993693188215226, 1.4046345761700214, 1.4101080747425403, 1.415784292266645, 1.42165738493863, 1.4277211974903112, 1.4339692739802996, 1.4403948692831203, 1.4469909612477088, 1.4537502634942454, 1.460665238816885, 1.46772811315783, 1.4749308901164941, 1.4822653659560834, 1.4897231450683113, 1.4972956558556365, 1.504974166989328, 1.512749804000552, 1.5206135661606832, 1.5285563436064602, 1.5365689346647178, 1.5446420633314881, 1.552766396859069, 1.560932563405646, 1.569131169700904, 1.5773528186821268, 1.5855881270550451, 1.59382774273435, 1.6020623621192935, 1.6102827471606505, 1.6184797421761792, 1.6266442903725187, 1.6347674500329694, 1.6428404103315977, 1.6508545067355576 ] ], "zauto": true, "zmax": 1.6508545067355576, "zmin": -1.6508545067355576 }, { "autocolorscale": false, "autocontour": true, "colorbar": { "tickfont": { "size": 8 }, "ticksuffix": "", "x": 1, "y": 0.5 }, "colorscale": [ [ 0.0, "rgb(255,247,251)" ], [ 0.14285714285714285, "rgb(236,231,242)" ], [ 0.2857142857142857, "rgb(208,209,230)" ], [ 0.42857142857142855, "rgb(166,189,219)" ], [ 0.5714285714285714, "rgb(116,169,207)" ], [ 0.7142857142857143, "rgb(54,144,192)" ], [ 0.8571428571428571, "rgb(5,112,176)" ], [ 1.0, "rgb(3,78,123)" ] ], "contours": { "coloring": "heatmap" }, "hoverinfo": "x+y+z", "ncontours": 25, "type": "contour", "x": [ 0.0, 0.02040816326530612, 0.04081632653061224, 0.061224489795918366, 0.08163265306122448, 0.1020408163265306, 0.12244897959183673, 0.14285714285714285, 0.16326530612244897, 0.18367346938775508, 0.2040816326530612, 0.22448979591836732, 0.24489795918367346, 0.26530612244897955, 0.2857142857142857, 0.3061224489795918, 0.32653061224489793, 0.3469387755102041, 0.36734693877551017, 0.3877551020408163, 0.4081632653061224, 0.42857142857142855, 0.44897959183673464, 0.4693877551020408, 0.4897959183673469, 0.5102040816326531, 0.5306122448979591, 0.5510204081632653, 0.5714285714285714, 0.5918367346938775, 0.6122448979591836, 0.6326530612244897, 0.6530612244897959, 0.673469387755102, 0.6938775510204082, 0.7142857142857142, 0.7346938775510203, 0.7551020408163265, 0.7755102040816326, 0.7959183673469387, 0.8163265306122448, 0.836734693877551, 0.8571428571428571, 0.8775510204081632, 0.8979591836734693, 0.9183673469387754, 0.9387755102040816, 0.9591836734693877, 0.9795918367346939, 1.0 ], "xaxis": "x2", "y": [ 0.0, 0.02040816326530612, 0.04081632653061224, 0.061224489795918366, 0.08163265306122448, 0.1020408163265306, 0.12244897959183673, 0.14285714285714285, 0.16326530612244897, 0.18367346938775508, 0.2040816326530612, 0.22448979591836732, 0.24489795918367346, 0.26530612244897955, 0.2857142857142857, 0.3061224489795918, 0.32653061224489793, 0.3469387755102041, 0.36734693877551017, 0.3877551020408163, 0.4081632653061224, 0.42857142857142855, 0.44897959183673464, 0.4693877551020408, 0.4897959183673469, 0.5102040816326531, 0.5306122448979591, 0.5510204081632653, 0.5714285714285714, 0.5918367346938775, 0.6122448979591836, 0.6326530612244897, 0.6530612244897959, 0.673469387755102, 0.6938775510204082, 0.7142857142857142, 0.7346938775510203, 0.7551020408163265, 0.7755102040816326, 0.7959183673469387, 0.8163265306122448, 0.836734693877551, 0.8571428571428571, 0.8775510204081632, 0.8979591836734693, 0.9183673469387754, 0.9387755102040816, 0.9591836734693877, 0.9795918367346939, 1.0 ], "yaxis": "y2", "z": [ [ 0.007247688791600023, 0.006899235499661079, 0.006574678464642615, 0.006271974145077903, 0.005990264859100675, 0.005730049674245327, 0.005493328748650945, 0.00528369602448349, 0.005106334332247408, 0.004967844323531738, 0.004875829651831199, 0.004838191914936828, 0.004862182690362059, 0.004953399584926975, 0.005115015898563358, 0.005347495970022773, 0.005648858186933718, 0.006015327723892906, 0.006442116755739522, 0.006924113330861975, 0.0074563744066812425, 0.00803441780018151, 0.008654358004283155, 0.009312940642769656, 0.010007520381156022, 0.01073601246488041, 0.01149683561189667, 0.0122888554274203, 0.013111332320670027, 0.013963875060537456, 0.01484639970920876, 0.015759093096862103, 0.016702379858272495, 0.017676892120517373, 0.01868344108831035, 0.01972298995551917, 0.02079662774730372, 0.021905543853565322, 0.023051003144362654, 0.024234321661992422, 0.025456842962347803, 0.026719915232925127, 0.02802486934792596, 0.029372998035833514, 0.030765536334215596, 0.032203643493128986, 0.03368838646591651, 0.035220725096846046, 0.03680149908176522, 0.03843141674377611 ], [ 0.006681119345203026, 0.006314005276292451, 0.005972406592845788, 0.005653991366798701, 0.005357574221174485, 0.005083334642141417, 0.004833021777674852, 0.0046101183873000755, 0.004419907069130402, 0.004269343339918967, 0.00416661327468566, 0.0041202839098133555, 0.004138093307006122, 0.004225658088564658, 0.004385547914789187, 0.004617089962704149, 0.004916921561646398, 0.005279971013662573, 0.005700460517517366, 0.006172670313210187, 0.006691398350889673, 0.007252170171890723, 0.007851287687545443, 0.008485792289046813, 0.009153391918808844, 0.009852379661729874, 0.01058155686110006, 0.011340165514440018, 0.012127830565372153, 0.012944510919265672, 0.013790457440618487, 0.014666176196646362, 0.01557239545584562, 0.016510035265079586, 0.01748017873922077, 0.01848404447235554, 0.019522959709009774, 0.020598334099074973, 0.02171163400238162, 0.022864357414401643, 0.0240580096565196, 0.02529408001803304, 0.026574019556183014, 0.027899220259882767, 0.029270995766271263, 0.030690563790882936, 0.03215903039625777, 0.033677376183336646, 0.03524644444853472, 0.03686693130942923 ], [ 0.006201577741568503, 0.005810818040714465, 0.005447334199903406, 0.00510861040272891, 0.004793213192200342, 0.004501060432310788, 0.004233699106126424, 0.0039945646309532635, 0.003789152495058759, 0.003624967332952582, 0.0035110505077136493, 0.0034569061871877515, 0.003470865058753955, 0.0035583413586151393, 0.003720739841125827, 0.0039555370020155885, 0.004257381354968181, 0.004619558268291516, 0.005035218496559773, 0.005498131311842033, 0.006003014391419573, 0.00654559426513342, 0.007122533639237755, 0.007731311511611645, 0.008370099715660613, 0.009037653624098073, 0.009733221494926258, 0.010456471176802965, 0.011207430935691633, 0.011986440934432931, 0.012794112332911044, 0.013631291600462692, 0.014499028239686023, 0.015398544646544957, 0.016331207258844987, 0.017298498482518198, 0.0183019891448043, 0.01934331141677781, 0.02042413228722205, 0.02154612776234126, 0.022710958020651345, 0.023920243774750456, 0.02517554408874501, 0.026478335877050677, 0.027829995273265466, 0.029231781011631215, 0.030684819912739678, 0.032190094514678746, 0.033748432842265204, 0.035360500264326786 ], [ 0.005818773767011582, 0.005399309088929694, 0.005008750132633416, 0.004644514841486566, 0.004305021288179958, 0.003990007148735964, 0.0037008945583758843, 0.003441180650063969, 0.0032167758089051346, 0.003036097836484018, 0.002909581582169165, 0.00284822886346661, 0.0028611978640413135, 0.002953282967553756, 0.0031237064854073076, 0.003366941687094282, 0.003674838755464859, 0.004038732204106832, 0.004450773485555461, 0.004904475406637981, 0.005394766650037641, 0.00591783129058446, 0.006470893565576807, 0.0070520181152779905, 0.00765994713198988, 0.008293974783668171, 0.008953852239062443, 0.009639715545413092, 0.010352029629161015, 0.011091543189172968, 0.011859250646754449, 0.012656358452558355, 0.013484253924252454, 0.014344475446788033, 0.015238683355433196, 0.016168631179999098, 0.01713613718759566, 0.018143056340399488, 0.019191252901082492, 0.02028257398272834, 0.02141882436331829, 0.02260174287452742, 0.023832980640205642, 0.025114081388376234, 0.026446463998820384, 0.02783140738334886, 0.029270037731566004, 0.03076331809672883, 0.03231204024533288, 0.0339168186538207 ], [ 0.0055425001748325995, 0.005089952738398024, 0.004667526446380545, 0.0042726596606160435, 0.003903696004172805, 0.003560248491807711, 0.0032436642249109283, 0.0029575978310933, 0.0027086307330423066, 0.0025066804396462494, 0.0023645925325066985, 0.0022960473819084843, 0.0023115736649270803, 0.0024145102201327687, 0.0025999919789904146, 0.0028576822685286735, 0.003175724249318319, 0.0035434468187699186, 0.003952380050023221, 0.004396247445448148, 0.004870585729509564, 0.005372326104266275, 0.00589945031118729, 0.0064507370290288815, 0.007025582887654619, 0.007623877566032536, 0.008245915689708795, 0.008892332795423586, 0.009564056507882022, 0.01026226695286049, 0.010988362465776445, 0.011743928070402839, 0.012530705188266936, 0.013350561729285483, 0.014205462198287565, 0.01509743778833367, 0.016028556656769166, 0.017000894719090533, 0.018016507366738273, 0.01907740253167651, 0.02018551549578216, 0.0213426857876355, 0.022550636434340597, 0.023810955750916726, 0.025125081762707464, 0.026494289274336714, 0.027919679526457512, 0.029402172322121597, 0.030942500459303985, 0.03254120627546028 ], [ 0.005380656397488506, 0.004892163895637116, 0.0044344477386960715, 0.0040049880648486205, 0.003602055362260385, 0.0032250995530069843, 0.0028753091725822306, 0.002556415595551062, 0.002275772516644307, 0.0020454743203096163, 0.0018824911647034347, 0.001805644140002305, 0.0018281210140319727, 0.001950035341878032, 0.002158863453416714, 0.0024369492880301374, 0.002768187105430191, 0.0031404797420356216, 0.0035455409111212395, 0.003977946587972352, 0.004434259549732383, 0.004912403497683108, 0.005411253400906853, 0.005930375141653224, 0.006469860219342492, 0.0070302188500968215, 0.007612308145832524, 0.008217280842508803, 0.008846545579166549, 0.009501733188795764, 0.010184665655469832, 0.010897325810975385, 0.011641826786121301, 0.0124203808644119, 0.0132352678120413, 0.01408880303209471, 0.014983306052438172, 0.015921069927072345, 0.016904332130718215, 0.01793524747284623, 0.019015863465791105, 0.020148098468041796, 0.02133372280132919, 0.022574342920747767, 0.023871388609379564, 0.025226103078929342, 0.026639535788531083, 0.028112537745841958, 0.029645759026675624, 0.031239648238476643 ], [ 0.005336980108556309, 0.004811706388526779, 0.00431742533448312, 0.003851644939582644, 0.0034125184656574117, 0.002999215978427118, 0.002612521370388511, 0.002255830490016257, 0.0019368086535677502, 0.0016698301033477917, 0.0014780401305398757, 0.0013899885884507345, 0.0014244740787090033, 0.0015746655414503566, 0.0018143369398423465, 0.002116205667852175, 0.0024607380708066163, 0.0028358763751956057, 0.003234572356368246, 0.0036528234449395842, 0.004088472057494023, 0.004540522152881859, 0.005008754469438941, 0.005493507119483646, 0.005995547009693815, 0.006515990986828647, 0.007056253781330483, 0.007618009733811041, 0.008203160831914108, 0.008813806802624792, 0.009452214956171599, 0.010120788714053848, 0.010822034563268197, 0.011558527710369913, 0.012332877045203266, 0.013147690207903429, 0.014005539616426116, 0.014908930278642143, 0.015860270107481703, 0.016861843303477498, 0.017915787190006815, 0.019024072702741014, 0.02018848856432934, 0.021410629029784686, 0.02269188497466787, 0.024033438019020446, 0.025436257334022747, 0.026901098760502788, 0.02842850587403327, 0.03001881265323713 ], [ 0.005409482311426911, 0.004848442268884631, 0.004318511675539648, 0.003817265496792315, 0.0033427760931339454, 0.0028939249155057922, 0.002470946516179367, 0.0020764528668779703, 0.0017174589415693763, 0.0014093095748245602, 0.0011816104685296747, 0.0010780437190193988, 0.0011281123494292957, 0.0013120324199394364, 0.0015833433475508406, 0.0019057190563040044, 0.0022587702675010857, 0.0026320577976344343, 0.0030203530823267807, 0.0034211542291417807, 0.003833474030839876, 0.004257242581178384, 0.004693003530323547, 0.005141753742972783, 0.005604854378698689, 0.006083977436549748, 0.006581069013118279, 0.007098319173885286, 0.007638132960634848, 0.008203099706749666, 0.008795959462117508, 0.009419566389834676, 0.010076849701087489, 0.01077077314041568, 0.011504294271861079, 0.01228032487882194, 0.01310169370635744, 0.013971112581248425, 0.014891146679263632, 0.015864189411877783, 0.016892442112900793, 0.01797789844628834, 0.019122333249440175, 0.02032729537977498, 0.021594104045455108, 0.022923848067681656, 0.024317387530278557, 0.025775357311716145, 0.027298172052527072, 0.028886032178385274 ], [ 0.005590486578414969, 0.004995730634923482, 0.0044324250706039205, 0.0038983460198580887, 0.0033916814109744777, 0.0029112898242393864, 0.0024571721495453103, 0.002031416770983605, 0.001640251289648192, 0.0012986632251659983, 0.0010395790475735132, 0.0009196945669910554, 0.0009801600380476136, 0.0011871741871359344, 0.0014766207536381897, 0.0018073299671490105, 0.0021596239394098284, 0.0025245443834955527, 0.00289806934114105, 0.003278587606977181, 0.0036657916178491766, 0.00406016945860377, 0.004462760280498844, 0.004875030711848522, 0.005298807942607216, 0.0057362384586476635, 0.006189756579047442, 0.006662054426399458, 0.0071560489984100265, 0.007674844429951294, 0.008221689126284558, 0.008799928550991713, 0.009412955193214754, 0.010064157668766215, 0.01075687104841042, 0.01149433038701008, 0.012279629100148208, 0.013115683371475879, 0.014005203251164004, 0.014950670598311446, 0.015954323585326797, 0.017018147154660053, 0.01814386861075207, 0.019332957435731667, 0.020586628415920568, 0.02190584723309892, 0.023291337782904944, 0.024743590611113406, 0.026262871988755498, 0.027849233268433426 ], [ 0.005868282785492106, 0.0052419145155383, 0.004647671806661995, 0.004083697770100013, 0.0035485576208488852, 0.0030414937528388847, 0.002562895154961461, 0.002115241130136064, 0.0017051444434858186, 0.0013479183362046865, 0.001076540688936826, 0.0009471598267109991, 0.0010003455942437043, 0.0012016877661908964, 0.0014852836838034184, 0.001808234441031212, 0.0021498595434537426, 0.002500699361089064, 0.002856502266444817, 0.0032155832437474672, 0.00357766463308675, 0.0039433451426821005, 0.004313845295206031, 0.0046908794331863, 0.0050765861886753385, 0.005473484220543411, 0.005884435995272257, 0.006312610381786729, 0.00676143932797385, 0.007234566777159158, 0.007735790049239568, 0.00826899543807581, 0.008838090820302754, 0.0094469386176494, 0.010099292496606283, 0.010798740776202787, 0.011548658757727022, 0.012352171249114611, 0.01321212559649907, 0.014131074700227288, 0.015111268872451953, 0.01615465502309754, 0.017262881526462933, 0.018437307173195607, 0.01967901279279803, 0.02098881437969178, 0.022367276823345626, 0.023814727596206266, 0.025331269972185304, 0.026916795525116367 ], [ 0.006229490956882214, 0.005572997510697545, 0.004949539148687788, 0.004357733621702416, 0.003796696542159937, 0.0032663267300114523, 0.0027678211815130643, 0.0023046675548792465, 0.0018846436041795442, 0.001523785632212669, 0.0012526854036111295, 0.0011171354950843388, 0.0011481110389057363, 0.0013208450981232744, 0.0015801197500122082, 0.0018836406162725495, 0.0022081948641701644, 0.002542141309411739, 0.002879797008037719, 0.0032185950863250507, 0.003557734674465165, 0.0038975317983765026, 0.004239098225622717, 0.004584176829264793, 0.004935051580237308, 0.005294490622934102, 0.0056657000085555, 0.006052275518522614, 0.00645814579417662, 0.006887503964747852, 0.00734472805591714, 0.00783429292622842, 0.008360678265360365, 0.008928278142525383, 0.009541317622937988, 0.010203781133264115, 0.010919355778916059, 0.0116913910383024, 0.01252287453777653, 0.013416422230803755, 0.014374280418146791, 0.015398336670985061, 0.016490136773005013, 0.017650905145240082, 0.018881566719054735, 0.020182768762317855, 0.021554901662342474, 0.022998118084308915, 0.024512350241808912, 0.02609732524020322 ], [ 0.0066611055443681405, 0.005975145532891096, 0.005323184083307013, 0.004704332369626279, 0.004118288125915155, 0.003565649415701588, 0.003048458711592648, 0.002571185242493034, 0.0021425147039221978, 0.001778380383880574, 0.0015055282434894624, 0.0013592355064798063, 0.0013623965125006165, 0.0014993622573623987, 0.0017272807861477473, 0.002006641740327248, 0.002312094684261965, 0.002629378149842463, 0.0029508294047247197, 0.0032725378216785705, 0.003592817202740776, 0.00391141442768042, 0.00422909861984905, 0.004547444518497425, 0.004868713664649753, 0.0051957816016586725, 0.005532081627725969, 0.00588154754666146, 0.006248545088123153, 0.006637786934801293, 0.007054230761130634, 0.007502963622975636, 0.007989079201045258, 0.008517556347960564, 0.009093147768743147, 0.009720286435153507, 0.010403014846259898, 0.011144939144330372, 0.01194920710018641, 0.012818506668969871, 0.013755080475762871, 0.01476075121448303, 0.015836953319605687, 0.016984767101090786, 0.018204952536618458, 0.019497980884340675, 0.02086406309575516, 0.022303174625144476, 0.023815076654849495, 0.025399334014791233 ], [ 0.007151722616884692, 0.006436236071181602, 0.005755613868042237, 0.005109414435952591, 0.00449785105467983, 0.003922115147394057, 0.003384911370980066, 0.0028913598075885607, 0.002450483893175326, 0.002077372832146938, 0.0017950061233630377, 0.0016312671905250608, 0.0016044603398368829, 0.0017054293473021654, 0.0019012309703822664, 0.0021559481244436862, 0.0024429965045388146, 0.002745703092137163, 0.0030542988402208395, 0.003363317964675974, 0.0036699787864703055, 0.003973267892862104, 0.0042734371812171625, 0.004571729526459032, 0.004870227272126939, 0.0051717627052114854, 0.005479853948441402, 0.0057986431025633415, 0.006132821739927982, 0.006487535101966954, 0.006868262089723809, 0.0072806737581656, 0.007730478137210819, 0.008223262948881031, 0.008764349303529984, 0.009358668323584628, 0.01001066917494732, 0.010724262172388978, 0.011502795749045992, 0.012349062251252374, 0.01326532533520563, 0.014253361223636579, 0.01531450683821866, 0.016449709302249375, 0.017659573000447994, 0.01894440193654152, 0.020304236363549975, 0.021738883532355275, 0.02324794294718411, 0.024830826803396773 ], [ 0.007691997589696369, 0.006946443099451662, 0.006236436526655204, 0.005561909376091448, 0.004923486902998431, 0.004322803637133775, 0.0037630032090961428, 0.00324953158627263, 0.0027913400086289532, 0.0024024265818539826, 0.0021027716049070197, 0.0019155985605400232, 0.0018570069334425058, 0.0019226151815445183, 0.0020870409087047157, 0.002317944583264085, 0.00258817153005643, 0.002878954710825538, 0.0031784388505162156, 0.003479505364596145, 0.003778150739380954, 0.004072474110694447, 0.004362085629729025, 0.004647770616308566, 0.004931300898111001, 0.0052153259006928925, 0.005503300773138058, 0.00579942308775955, 0.006108558466316074, 0.0064361421565224146, 0.00678805000694412, 0.00717043919953529, 0.007589566172997969, 0.008051595244398725, 0.008562415012038513, 0.009127479582911198, 0.009751687920396816, 0.010439308254480785, 0.011193947415407749, 0.012018559011481567, 0.012915480751493893, 0.013886490146182807, 0.014932868788572388, 0.016055467550934437, 0.017254767523432503, 0.01853093378586884, 0.019883860866184995, 0.021313209937061522, 0.022818438506534817, 0.02439882369245961 ], [ 0.008274611013319083, 0.007498201806862079, 0.006757816788936438, 0.006053684606704979, 0.005386741382837839, 0.004758928653762287, 0.0041736482060054, 0.003636449857965351, 0.0031560105773380995, 0.002745282520611218, 0.002422032564449924, 0.0022066125998381264, 0.0021142672505459633, 0.002144456520954305, 0.0022778667147138405, 0.002485590719566499, 0.00274036465746331, 0.003021609332386771, 0.0033154295298556897, 0.0036129915574475147, 0.003908978729666551, 0.004200510638407234, 0.004486466778041055, 0.0047670845381364785, 0.00504372683279549, 0.005318748003480219, 0.005595410407936442, 0.005877818796429018, 0.006170848708953305, 0.006480051827442299, 0.006811527670918489, 0.007171758388407207, 0.007567411703888721, 0.008005125177956172, 0.008491290966208213, 0.009031862303825295, 0.009632200165392457, 0.01029697168021687, 0.011030103056634741, 0.011834781575135839, 0.0127134956195886, 0.013668099467700952, 0.014699890225465978, 0.015809686785750822, 0.016997903866235065, 0.01826461717937524, 0.019609618153585192, 0.021032458239932297, 0.02253248378277261, 0.02410886287199822 ], [ 0.008894005408433459, 0.008085892907307945, 0.007314086601440705, 0.006579047342329246, 0.00588193990293825, 0.005224909802379819, 0.004611493758736836, 0.004047218462524317, 0.0035404170678848745, 0.0031031389599569118, 0.002751540197061787, 0.002504174778603366, 0.002376139328802677, 0.002370185712063697, 0.0024722059930514344, 0.0026567029909206415, 0.0028967221271582887, 0.0031701447559489182, 0.0034610898401739405, 0.003758954568442757, 0.004057027283050469, 0.0043513697739366594, 0.004640061435328956, 0.0049227262956816386, 0.005200249198272747, 0.005474608620846387, 0.005748774904731701, 0.006026637454241212, 0.006312933963846679, 0.006613161450904439, 0.006933455035725164, 0.007280427499388099, 0.0076609711254436875, 0.008082032435678468, 0.008550378312341261, 0.009072376378663068, 0.009653811760791291, 0.010299756461222153, 0.011014498336984995, 0.01180152695085266, 0.012663566002492336, 0.013602638092915585, 0.01462014722043041, 0.015716966624330215, 0.016893523032610096, 0.018149871899489557, 0.019485761154887624, 0.020900683077929406, 0.02239391518468635, 0.023964551658254035 ], [ 0.009546060601356895, 0.008705459088776272, 0.007901284114831817, 0.0071341787281103955, 0.006405476290128209, 0.005717456356496287, 0.005073715752111496, 0.004479696312209136, 0.003943385642941963, 0.003476082598298464, 0.003092751019352471, 0.00281076816184344, 0.0026454064345978238, 0.0026022980349591444, 0.0026720076122342218, 0.002832553917666119, 0.003057755852718789, 0.0033242745944860137, 0.003614327490608892, 0.003915498915960705, 0.004219601769225431, 0.004521563049735033, 0.004818598277204467, 0.00510966448782073, 0.00539511763852335, 0.005676504076614366, 0.005956432445213088, 0.006238486751486868, 0.006527151267252172, 0.006827724899717085, 0.007146208619947823, 0.007489156050104206, 0.00786348518428496, 0.008276258162817535, 0.008734444598318795, 0.009244689987175005, 0.00981311223595045, 0.010445145526213399, 0.011145442677319005, 0.011917837337818546, 0.012765358592642924, 0.01369028494514813, 0.014694222738944645, 0.015778195290623905, 0.01694273204581206, 0.018187950679119307, 0.019513628339350678, 0.020919260753792555, 0.02240410956611953, 0.023967239211179214 ], [ 0.01022778995889524, 0.009354053427941477, 0.008516742188775647, 0.007716646070434535, 0.0069552269707102874, 0.006234855709184498, 0.005559149802606662, 0.004933445420205323, 0.004365414680005834, 0.0038657401417604956, 0.0034484761415971687, 0.0031301729667819775, 0.0029263737496373955, 0.0028451991939973005, 0.0028814695844456167, 0.003016873289871268, 0.003226525850181911, 0.0034862738856598174, 0.0037765810620720456, 0.004083203335169254, 0.004396403552666431, 0.004709894501195856, 0.0050199614159799994, 0.005324841809730823, 0.005624318690613895, 0.005919463440958358, 0.006212473917714945, 0.006506566284606533, 0.006805889353936779, 0.0071154376429864875, 0.007440945340497283, 0.007788749395929539, 0.008165616931263338, 0.008578540224591567, 0.00903451071121297, 0.00954029006631899, 0.010102199576436184, 0.010725947509052142, 0.011416508319698223, 0.012178059023816006, 0.013013969398537576, 0.013926836071969182, 0.014918547159445279, 0.01599036385889214, 0.01714300742797353, 0.0183767430732185, 0.019691455500260583, 0.021086713596216448, 0.0225618236954552, 0.02411587212993978 ], [ 0.010937087518227334, 0.010029752750787307, 0.009158761279342871, 0.008325026956960871, 0.0075301165590238766, 0.0067764701574287815, 0.006067711329303686, 0.00540907509781318, 0.004807962938677393, 0.004274555089814421, 0.003822190372676493, 0.0034667852397726262, 0.0032241167759239947, 0.0031043798402957735, 0.0031062240105529226, 0.003215111500568721, 0.00340799694987829, 0.0036604151071329993, 0.00395131849302083, 0.004264673182538061, 0.004589137572552084, 0.004917133081814143, 0.0052439440149539, 0.005567031406384896, 0.005885560012604084, 0.006200087389882096, 0.006512362154882076, 0.006825188522889754, 0.007142324345658354, 0.007468387777036323, 0.007808753940954255, 0.008169428723156177, 0.008556892985046935, 0.008977917425186973, 0.009439355529747645, 0.009947928373702517, 0.01051001894931049, 0.011131494018551532, 0.011817567970801909, 0.012572716765854445, 0.013400642571175202, 0.014304283115631006, 0.01528585545388864, 0.016346922208188036, 0.017488469034301474, 0.01871098420006054, 0.02001453387485233, 0.021398829328404072, 0.022863284346159134, 0.024407062664875613 ], [ 0.011672529924753428, 0.01073133752641999, 0.00982636401069151, 0.008958634887005093, 0.008129810992972821, 0.007342395024344118, 0.006600019119532283, 0.00590783756033485, 0.005273033150102154, 0.004705382105708403, 0.004217647702760596, 0.003825219935590051, 0.0035440065422849255, 0.0033858407775821508, 0.003352711207827294, 0.0034338296325777088, 0.00360848110527857, 0.0038524651961846716, 0.004143577662686829, 0.004464114857223369, 0.004801117599102032, 0.005145652943303368, 0.005491934179836318, 0.00583658453939772, 0.006178100848774625, 0.006516486517038468, 0.006853005920515695, 0.007190017150185969, 0.0075308491982805795, 0.007879697803069246, 0.008241520732364076, 0.00862191896294669, 0.009026995797516073, 0.009463191873538165, 0.009937100114925507, 0.01045527024711349, 0.011024016481518696, 0.01164924339256452, 0.012336303415118351, 0.013089895164659684, 0.013914006060100478, 0.014811896983025638, 0.01578612221944729, 0.016838575402310797, 0.017970551643073318, 0.01918281705321548, 0.02047567874837583, 0.021849050583282868, 0.02330251184496717, 0.024835357708254877 ], [ 0.01243322652062658, 0.011458128291094001, 0.010519116554744664, 0.009617324356312493, 0.008754505562961347, 0.007933230016326738, 0.007157152585939312, 0.006431377096453477, 0.005762922869899681, 0.005161249195545764, 0.004638651813188966, 0.004210058001127492, 0.003891379841512294, 0.003695653710200716, 0.003627651290740094, 0.0036801404747257463, 0.003835100627895309, 0.004069192664422089, 0.004359515819404331, 0.004686918887596908, 0.005036876433639284, 0.005399069190579227, 0.005766579907477881, 0.006135133139962237, 0.00650250495709595, 0.006868101417882831, 0.007232667503593414, 0.0075980853408357234, 0.007967227365072578, 0.00834383792540767, 0.008732423579380968, 0.00913813802490277, 0.009566652820875531, 0.0100240101802638, 0.01051645922908958, 0.01105028184829785, 0.011631617887873312, 0.012266301454615658, 0.012959719680546234, 0.013716702944314787, 0.014541451558526276, 0.015437499433154348, 0.016407711190229813, 0.017454306371672664, 0.018578903039017568, 0.019782573088074695, 0.0210659026037245, 0.02242905209613951, 0.023871813084548325, 0.02539365895598763 ], [ 0.01321870803024492, 0.012209866187668898, 0.01123700059583947, 0.0103013540697396, 0.009404779696720983, 0.008549926787355803, 0.007740494689900246, 0.006981572660928092, 0.0062800721995124025, 0.005645213877822954, 0.005088914046415921, 0.004625680275308671, 0.00427130605617099, 0.004039622406593453, 0.00393759384344256, 0.0039611862341101586, 0.004095253573907985, 0.0043178622678315785, 0.004605947321989036, 0.004939238281202344, 0.00530177799301372, 0.005681878269144344, 0.006071455616616784, 0.006465283809842365, 0.006860366699536705, 0.0072554685859402696, 0.007650779095346365, 0.008047676087069466, 0.00844855301045137, 0.008856683895067498, 0.009276105772534453, 0.00971150400959919, 0.010168090993289676, 0.010651473190500423, 0.011167505952001876, 0.011722139407345077, 0.012321262030280939, 0.012970550483366329, 0.013675334819938764, 0.014440486963925685, 0.015270337894607623, 0.01616862572825955, 0.017138473623560288, 0.018182393764960662, 0.019302311974743615, 0.020499606852857608, 0.02177515758798841, 0.023129395435904313, 0.024562355011913478, 0.026073722736799112 ], [ 0.01402884465103242, 0.012986626354772114, 0.011980322017597229, 0.01101129117053374, 0.010081497380076052, 0.009193686815569877, 0.008351629367561264, 0.00756043779804262, 0.006826969344106565, 0.006160275403227553, 0.005571966453768721, 0.0050761630051795095, 0.004688433185011043, 0.004423041386992174, 0.00428856354733734, 0.004283683119502695, 0.004396107783793806, 0.004605732575102801, 0.004889875939898751, 0.005227564383931205, 0.005601633940439462, 0.0059991092138482974, 0.0064107424055624, 0.006830323354009515, 0.007254040263108156, 0.007679973861451301, 0.00810772311073993, 0.0085381341980266, 0.008973101746322692, 0.009415415841126743, 0.009868634460601591, 0.010336966391419102, 0.010825154467381762, 0.011338353164362519, 0.011881998382138843, 0.012461670636342227, 0.013082955693990978, 0.013751308646035314, 0.014471928272573363, 0.015249648223141014, 0.01608885012308845, 0.016993401561150957, 0.0179666194754235, 0.01901125720250383, 0.020129511743024166, 0.021323046801996797, 0.02259302688118241, 0.023940157996826913, 0.02536473126994849, 0.026866666487069844 ], [ 0.014863785819873606, 0.013788755046523644, 0.012749645538516895, 0.01174794375937637, 0.010785738235105534, 0.00986589214784753, 0.008992273583195235, 0.008170056141827529, 0.007406091723046723, 0.006709322278588422, 0.0060911124924112655, 0.005565221088515025, 0.005146903431659399, 0.004850553656112064, 0.004685825495901205, 0.004653579107333741, 0.004744177419415377, 0.004939602521809063, 0.0052180546752452145, 0.005558321909728292, 0.005942339167363377, 0.006355996408109939, 0.006788932089248892, 0.007233947973110535, 0.007686388807855663, 0.008143617598820003, 0.008604610839800747, 0.009069657450291854, 0.009540135077298433, 0.01001833887553566, 0.010507342618031209, 0.011010877009590487, 0.011533214562270118, 0.012079054283733653, 0.01265340283088777, 0.013261451741071855, 0.013908452813280516, 0.014599595533929605, 0.015339891476005429, 0.016134070761811278, 0.016986495006123047, 0.017901089825729858, 0.01888129829780966, 0.01993005499810099, 0.021049778738220556, 0.022242381042770258, 0.023509286835757866, 0.024851463710554703, 0.026269456433778645, 0.02776342384756004 ], [ 0.015723915551961776, 0.014616823490735726, 0.013545747292372515, 0.012512312566773374, 0.011518748895425649, 0.01056805741786984, 0.009664231337387842, 0.008812539170240372, 0.008019869411156523, 0.007295102842207713, 0.006649404387221655, 0.00609618839317023, 0.005650327263079567, 0.005326100020839027, 0.005133777974854504, 0.0050758576877081, 0.00514503422509974, 0.005325462586558849, 0.005596620084629209, 0.0059375177600474146, 0.006329549761794282, 0.0067576895198712406, 0.007210565817061293, 0.007680024896076283, 0.00816056297096058, 0.008648804285872344, 0.009143078215902744, 0.009643094592504918, 0.010149698054718242, 0.010664679460411454, 0.011190625195482693, 0.011730789392420822, 0.012288978137696475, 0.012869438334341704, 0.013476746976833553, 0.014115699234147903, 0.014791195921719938, 0.015508132618869705, 0.01627129377550212, 0.01708525559289077, 0.017954301267404788, 0.01888235144371115, 0.01987291160639879, 0.020929036859955348, 0.022053313321172576, 0.02324785434592047, 0.024514309136009313, 0.025853880947473172, 0.027267352113645508, 0.028755113330139026 ], [ 0.016609818692335774, 0.015471593276482027, 0.014369579545816602, 0.01330555533581067, 0.012281907593139667, 0.011301795459875492, 0.01036936150225806, 0.009489997896083874, 0.008670662740522849, 0.007920211048706754, 0.007249639147728198, 0.006672025243929641, 0.006201801709366151, 0.005852941464608582, 0.005635957310392105, 0.0055544889084763694, 0.005603177895936306, 0.005768289896704762, 0.006030842177484095, 0.006370478007794423, 0.006768428613904203, 0.007209017431156425, 0.0076800178959782655, 0.008172393258437516, 0.008679814009992645, 0.009198162579082797, 0.009725107515376231, 0.010259764054849477, 0.010802431237147596, 0.011354388066347405, 0.011917731450706135, 0.012495241575788288, 0.013090263803627924, 0.013706599404647912, 0.014348400231278556, 0.015020064821881495, 0.015726135390924587, 0.016471196702133446, 0.01725977890195842, 0.01809626698112126, 0.01898481963214442, 0.019929299930556126, 0.020933219586781706, 0.02199969763316604, 0.02313143347710442, 0.02433069340366529, 0.025599308948742183, 0.026938685139203847, 0.02834981641430311, 0.029833308072700702 ], [ 0.01752225459269164, 0.01635398945618358, 0.015222243398203428, 0.014128959420202638, 0.01307669714412841, 0.012068791442020865, 0.011109554241980076, 0.010204523214337385, 0.009360748826398221, 0.008587082100065754, 0.00789436691066859, 0.007295343770296598, 0.006803957364228367, 0.006433729766579874, 0.006195122311313113, 0.006092498194113532, 0.006122052236683708, 0.006271993333668698, 0.006525007869993925, 0.006861693625405133, 0.0072634761531671045, 0.007714318676907376, 0.008201332664961852, 0.008714708631116709, 0.009247344038800601, 0.009794397756792033, 0.010352877990397375, 0.010921298778261866, 0.01149940618623418, 0.012087962570134657, 0.012688574527063741, 0.013303551446416031, 0.01393578414635546, 0.01458863580868503, 0.01526583991114523, 0.015971401996883156, 0.01670950390160081, 0.017484410476866188, 0.01830037989376154, 0.019161579271866083, 0.02007200765765146, 0.021035428301303366, 0.022055311812929537, 0.023134791206392138, 0.024276629165436988, 0.02548319719527405, 0.026756465738732447, 0.028098003897181326, 0.02950898712868774, 0.030990211195775302 ], [ 0.01846213564074272, 0.01726507860440796, 0.016104966525299115, 0.014983919492514644, 0.013904683087448258, 0.012870782179021363, 0.01188671263600157, 0.010958171518517681, 0.010092313571957192, 0.009297994107510414, 0.008585906553527242, 0.007968442996321563, 0.007459019810943501, 0.007070601842350046, 0.006813380916285203, 0.006692107105521624, 0.006704165340842185, 0.006839481746509676, 0.007082427126282101, 0.0074147744898348245, 0.007818449953532996, 0.008277342433874057, 0.008778117135715854, 0.009310332347662709, 0.00986619335607192, 0.010440176110631019, 0.011028645207099902, 0.011629517921356655, 0.012241986976079136, 0.012866297344584658, 0.013503566504869812, 0.014155636959440276, 0.014824951333500232, 0.015514442473677698, 0.01622743307954572, 0.016967541289071165, 0.01773859024074262, 0.018544520935202986, 0.019389308712950505, 0.020276884349743975, 0.02121106115258497, 0.022195469534986797, 0.02323350039904087, 0.02432825831057626, 0.02548252499360684, 0.026698733165531903, 0.02797895025425457, 0.029324871135283828, 0.0307378187344098, 0.032218751172038027 ], [ 0.019430508769790182, 0.01820604986699989, 0.01701908391728591, 0.01587191824757028, 0.014767494822317423, 0.013709538453642423, 0.012702737340582495, 0.011752953412442214, 0.010867446857136224, 0.01005507304556834, 0.009326364679179126, 0.00869334725895807, 0.00816887427218522, 0.007765278329144018, 0.007492327216746995, 0.007354901036120799, 0.0073512626646601575, 0.007472809681439241, 0.0077055291324142775, 0.008032492008074748, 0.00843636265662559, 0.008901214529793672, 0.009413486121199608, 0.009962263148264898, 0.010539162593231574, 0.011138039089351126, 0.011754647092028747, 0.012386323837908561, 0.013031716753659503, 0.01369055802830783, 0.014363480237038446, 0.015051864325610276, 0.015757711534141995, 0.016483532212350518, 0.01723224614023344, 0.018007090571900898, 0.018811533632369336, 0.01964919187438402, 0.020523751730900815, 0.02143889527828705, 0.02239823115906732, 0.02340523171513259, 0.024463177377788525, 0.025575109187762284, 0.02674379002442254, 0.027971674763212884, 0.0292608892053376, 0.030613217280496752, 0.03203009574379354, 0.03351261539207822 ], [ 0.02042853861014654, 0.019178197625751375, 0.017966020212804027, 0.016794508694814324, 0.015666808345690085, 0.014586848972576503, 0.013559512934102156, 0.012590824140826885, 0.011688139390962166, 0.010860299068999909, 0.010117655144969505, 0.009471843424781787, 0.008935125972761922, 0.008519153764525144, 0.008233167586584109, 0.008081990670848744, 0.008064509278286417, 0.00817335404148123, 0.00839600784778297, 0.00871688002677496, 0.009119537814933562, 0.009588455428936892, 0.010110051481786399, 0.0106731054763825, 0.01126876550091064, 0.01189034380901738, 0.01253303373339625, 0.013193621629802147, 0.013870226854185293, 0.014562079704927412, 0.015269336033884922, 0.01599292277181772, 0.01673440760429583, 0.01749588658953301, 0.018279884658522674, 0.0190892652154996, 0.019927146258571074, 0.020796821481637574, 0.02170168566973268, 0.02264516435113315, 0.02363064812268123, 0.024661432328959967, 0.02574066286736218, 0.02687128883655466, 0.028056022577363646, 0.029297307412214608, 0.030597293110613353, 0.03195781883095091, 0.033380403042461274, 0.03486623973646738 ], [ 0.021457491351698152, 0.02018290484747499, 0.018947272708996304, 0.017753297143230852, 0.016604329727514022, 0.015504505128606036, 0.014458895135834962, 0.013473674895119726, 0.012556280245143074, 0.011715512892075534, 0.010961517256553097, 0.010305514114557572, 0.0097591520696063, 0.009333371972735614, 0.00903682518424547, 0.008874148709513717, 0.008844652964019109, 0.008941986211794583, 0.00915498078495348, 0.009469362922561748, 0.009869699974994685, 0.010341033500532866, 0.010869944136031408, 0.011445066694263565, 0.012057206906705234, 0.01269922579001255, 0.013365817510928217, 0.014053258171865283, 0.014759165450194688, 0.015482285422265549, 0.016222310040947995, 0.016979722683283363, 0.017755666954680383, 0.018551833648696565, 0.019370361353971473, 0.020213747116581738, 0.021084764532204817, 0.021986387532448262, 0.022921718887904216, 0.023893923056777858, 0.024906163455946657, 0.025961544526360313, 0.027063059116225793, 0.028213541731889433, 0.02941562812995946, 0.030671721573091053, 0.031983965875061915, 0.033354225146960154, 0.03478406995111415, 0.03627476939169427 ], [ 0.022518718699553863, 0.02122162652076174, 0.019964394481664535, 0.018749926351139364, 0.017581778836823526, 0.01646428611573629, 0.015402698453770182, 0.0144033245098578, 0.013473654466979294, 0.012622421417609928, 0.011859531527544334, 0.011195765548955058, 0.010642143569549496, 0.01020888485662548, 0.009904019934618383, 0.009731915411531148, 0.009692155077335673, 0.009779219136613681, 0.009983136027828009, 0.010290886024984134, 0.010688077729446292, 0.011160437131536435, 0.01169485689966085, 0.012279974782842096, 0.012906379842917525, 0.013566579465396252, 0.014254839984107322, 0.014966977457325104, 0.015700142685073637, 0.016452621900106674, 0.017223660944069328, 0.01801331351588212, 0.018822310790458412, 0.019651948613560177, 0.020503988505534802, 0.02138056923968053, 0.022284126471598432, 0.02321731861777412, 0.024182957833329667, 0.02518394548477749, 0.02622321193877299, 0.027303660790771123, 0.0284281178429878, 0.02959928522048306, 0.030819701003497964, 0.032091704672506584, 0.03341740853193149, 0.03479867512127826, 0.036237100458579086, 0.03773400280869965 ], [ 0.02361364154616681, 0.022295872837153976, 0.021018977311472425, 0.019786058579036998, 0.018600873095488125, 0.01746794419896927, 0.01639268406072594, 0.015381511305283084, 0.014441940438872073, 0.013582602172330541, 0.012813132501286066, 0.012143849638456208, 0.011585137337233795, 0.01114649556529079, 0.010835325738362106, 0.010655674113274937, 0.01060728702957796, 0.01068532164729662, 0.010880854425377215, 0.01118203249376859, 0.011575504064564666, 0.01204775220724922, 0.012586097553801651, 0.013179308603518894, 0.013817876017545312, 0.01449405208991421, 0.015201752068713045, 0.01593638926183416, 0.01669468944005562, 0.017474509506933588, 0.01827467187367356, 0.019094818071747156, 0.01993528102932583, 0.0207969736374525, 0.021681290719403456, 0.022590021664430936, 0.023525271430478344, 0.02448938816177894, 0.02548489620016824, 0.02651443374186753, 0.02758069477925231, 0.0286863752611206, 0.02983412360461765, 0.031026495803793793, 0.032265915413346266, 0.03355463865599945, 0.034894724823059636, 0.036288012027888554, 0.037736098246901315, 0.03924032745733353 ], [ 0.024743733169539324, 0.023407191964830463, 0.022112634305252624, 0.02086335847329576, 0.019663311217756715, 0.01851719010962797, 0.017430547855727254, 0.01640988498983497, 0.015462706838797764, 0.014597506373299693, 0.013823618551679526, 0.01315088058678527, 0.012589039232084353, 0.012146888340566674, 0.01183120873991747, 0.011645701498287843, 0.011590196289264096, 0.01166040070292201, 0.011848303151893948, 0.012143119078257884, 0.012532504588392106, 0.013003735586127137, 0.0135446439616395, 0.014144234122018432, 0.014793004505534097, 0.015483047079130232, 0.016208004313319598, 0.016962948386459176, 0.01774422717605055, 0.018549303928719413, 0.019376604775580175, 0.020225380166069278, 0.02109558165257796, 0.021987753092573496, 0.022902934344171386, 0.02384257531236628, 0.024808458381091907, 0.02580262762010129, 0.026827323561644887, 0.027884922731745507, 0.028977881460137075, 0.03010868376475395, 0.03127979330623351, 0.03249360953551852, 0.03375242822011312, 0.035058406540175946, 0.036413532906421395, 0.03781960157983814, 0.03927819208174141, 0.040790653283642314 ], [ 0.02591050191098147, 0.02455715240627427, 0.0232469822408775, 0.02198347584055683, 0.02077075701400267, 0.019613678643994437, 0.018517908764840454, 0.01748999863573146, 0.016537409181600904, 0.015668460634795208, 0.014892158851627767, 0.014217846636388153, 0.013654639814549395, 0.013210647734227724, 0.012892050945973161, 0.012702198388587136, 0.012640948110862587, 0.012704456377339957, 0.012885502483095612, 0.013174269206346094, 0.013559369501259834, 0.014028879178657746, 0.014571195739578234, 0.015175641668885895, 0.015832814536349524, 0.01653473341118081, 0.017274844489219572, 0.018047942065287217, 0.018850046614764176, 0.019678267313979248, 0.020530664933375593, 0.0214061231912075, 0.022304231771410037, 0.023225181446770687, 0.024169670366839684, 0.0251388200243453, 0.026134099339956886, 0.027157255474137842, 0.028210250249489546, 0.029295201367461898, 0.030414327885382047, 0.03156989966031278, 0.03276419065368156, 0.033999436122793866, 0.03527779380347858, 0.03660130921798111, 0.03797188523143195, 0.03939125593815896, 0.04086096489537382, 0.042382347646198096 ], [ 0.027115473394387975, 0.025747325036519667, 0.024423623762245144, 0.02314802845948919, 0.021924823410989527, 0.020758994604161484, 0.01965629738925941, 0.018623300798962537, 0.017667386001612165, 0.016796667442785733, 0.016019797852251244, 0.015345617738881896, 0.014782624129486692, 0.014338269754654853, 0.014018163109901992, 0.01382530641259531, 0.013759549307800586, 0.0138174156957199, 0.013992370266432711, 0.014275465382300493, 0.014656208829569623, 0.01512346240248163, 0.015666219387050345, 0.016274180966666562, 0.016938119331648006, 0.01765005841379103, 0.01840332017136731, 0.019192483478093502, 0.02001329334640918, 0.020862547019479875, 0.021737973712378903, 0.02263811752505573, 0.0235622281881492, 0.02451016131884871, 0.025482288193808367, 0.026479414229343762, 0.02750270505874986, 0.028553619091305965, 0.02963384558183915, 0.030745247448613622, 0.03188980829679147, 0.033069583306442746, 0.03428665381183603, 0.03554308552566893, 0.036840890446221804, 0.03818199252978643, 0.039568197219839785, 0.04100116490433034, 0.04248238833120149, 0.04401317395669888 ], [ 0.02836017242934949, 0.02697926499174089, 0.025644129614253157, 0.0243585851285347, 0.023127056879924883, 0.021954639248318492, 0.020847145131984147, 0.01981112788425375, 0.018853854782584386, 0.017983204591363287, 0.01720745768747824, 0.016534949956485367, 0.015973576959563016, 0.015530167135833531, 0.015209790099026925, 0.015015114940139898, 0.014945959480796292, 0.014999151097002781, 0.015168749203070516, 0.015446584445479417, 0.015822992546390337, 0.01628759292808567, 0.016829985618974294, 0.017440292062034818, 0.018109518945554806, 0.018829761942250646, 0.01959428446170006, 0.02039750966527062, 0.02123495876009254, 0.022103160387844135, 0.022999547929337772, 0.02392235510847104, 0.024870515659196932, 0.025843569777650077, 0.02684157823180615, 0.027865043976588233, 0.028914840632398568, 0.029992147021693054, 0.031098386980757287, 0.0322351737810777, 0.03340425864977803, 0.03460748303705931, 0.035846734420622334, 0.037123905551654894, 0.03844085713048879, 0.03979938395099195, 0.04120118457455508, 0.042647834590294205, 0.04414076349389592, 0.04568123517845053 ], [ 0.029646104795747363, 0.028254493625111652, 0.026910021144394017, 0.02561664917243945, 0.024378922476326167, 0.023202017421807875, 0.02209177393695645, 0.021054696864846994, 0.02009790776367951, 0.019229023805800414, 0.01845593893226226, 0.01778648734805013, 0.01722798474690162, 0.01678667049479228, 0.016467111225619436, 0.016271661626965184, 0.016200093918588686, 0.01624948830518938, 0.016414421639462603, 0.016687419560081268, 0.01705957812750954, 0.01752123685859266, 0.01806259888469195, 0.018674231367945066, 0.019347420890756827, 0.020074390565412357, 0.020848403451777794, 0.021663782481406654, 0.022515874977795794, 0.023400984258715056, 0.02431628453520921, 0.025259729829583664, 0.0262299634175303, 0.027226231340896963, 0.028248301610830244, 0.029296389557535493, 0.03037108914409164, 0.031473309764606494, 0.032604217958832026, 0.033765183506279425, 0.034957729453870344, 0.03618348574445056, 0.037444146225591876, 0.03874142891623296, 0.04007703948494221, 0.041452637946052084, 0.04286980860806993, 0.0443300333153439, 0.045834668012028464, 0.047384922631615145 ], [ 0.030974739142155733, 0.029574480771774353, 0.028222753311301092, 0.0269236426332563, 0.02568178968894728, 0.02450242552862925, 0.023391386763760628, 0.022355098463263518, 0.021400507754992762, 0.020534948781809757, 0.019765920122187156, 0.019100762003597265, 0.018546235167299443, 0.018108026742337607, 0.017790237375269337, 0.017594928992387508, 0.017521821264540438, 0.017568207269698193, 0.01772911572674347, 0.017997692459520362, 0.01836572826440173, 0.01882424003884664, 0.019364019782401935, 0.01997609274862349, 0.02065205796566246, 0.021384310882853093, 0.02216616441278295, 0.02299189153100533, 0.023856712729650693, 0.024756748151132563, 0.0256889495363486, 0.02665102260769076, 0.027641346794593548, 0.02865889644272956, 0.029703165734852138, 0.030774098313909218, 0.03187202185596768, 0.03299758743572225, 0.03415171334484366, 0.035335532975608167, 0.03655034641261819, 0.03779757544324348, 0.039078721778229894, 0.04039532835167549, 0.04174894363527211, 0.04314108895044944, 0.04457322879259599, 0.04604674419418096, 0.04756290915041199, 0.04912287011481622 ], [ 0.03234748924662388, 0.030940627571332844, 0.029583698436949586, 0.02828089135822936, 0.027036919275176718, 0.025857040480656443, 0.02474705890185353, 0.0237132908875882, 0.022762484090469496, 0.021901672859194143, 0.021137956401902303, 0.020478192789622502, 0.019928615139525437, 0.01949439577218165, 0.01917920624737839, 0.018984838726697494, 0.018910958124643548, 0.018955038831834203, 0.019112505905517597, 0.019377058858237584, 0.01974112122534029, 0.02019634230300992, 0.02073408142094933, 0.021345824021836598, 0.022023503141185546, 0.022759721487625374, 0.02354788402599794, 0.024382258296003503, 0.025257981333237138, 0.026171030258015923, 0.027118170277872323, 0.028096890277001515, 0.029105333005958498, 0.030142224386127056, 0.031206804616916724, 0.032298762522240516, 0.03341817376673072, 0.03456544309001598, 0.03574125044695391, 0.03694650082690177, 0.038182277499357806, 0.0394497984582092, 0.040750375885879334, 0.042085378514364793, 0.04345619681259788, 0.044864210971432165, 0.04631076168702144, 0.047797123758292176, 0.04932448251676166, 0.05089391309747688 ], [ 0.03376569688936049, 0.032354250087823104, 0.03099413092175607, 0.029689611172296532, 0.028445451231527516, 0.027266909733804447, 0.02615973020535677, 0.025130094201792092, 0.0241845288334602, 0.0233297565273014, 0.02257247762104637, 0.021919083266782297, 0.021375307877759306, 0.02094584618140581, 0.020633976629262262, 0.02044124488373236, 0.020367262097633728, 0.020409658972891577, 0.020564209878340824, 0.02082510929500729, 0.02118535595551548, 0.021637186341041684, 0.02217250087221554, 0.022783239480280538, 0.023461681648653084, 0.024200663373487124, 0.024993716223785593, 0.025835140886906242, 0.02672003013236701, 0.027644255567645194, 0.028604430379505916, 0.02959785753885235, 0.03062247034390645, 0.0316767699898443, 0.03275976316724337, 0.033870901474992075, 0.035010023603996535, 0.036177300715415486, 0.037373185119204, 0.03859836218778061, 0.03985370536583392, 0.041140234122214465, 0.04245907470855943, 0.04381142362264759, 0.045198513711869066, 0.046621582885314504, 0.04808184542831913, 0.049580465928436304, 0.05111853582680295, 0.05269705260422314 ], [ 0.03523061557489113, 0.03381656394688987, 0.032455213114395184, 0.031150895290767974, 0.029908394014444, 0.028732942490000524, 0.027630198305468038, 0.026606185391164633, 0.025667193334002508, 0.024819624933775226, 0.024069786145896683, 0.023423619150758603, 0.022886389449956395, 0.02246235056585426, 0.022154422336830723, 0.02196392672754, 0.021890424208036854, 0.021931681900971802, 0.022083783596242215, 0.022341367093451543, 0.02269795357612, 0.023146322625197148, 0.02367888680112687, 0.024288029114877343, 0.02496638057168345, 0.025707028778307873, 0.02650365940469625, 0.027350639028742678, 0.028243050912113946, 0.02917669557354289, 0.030148066752772856, 0.031154311388965496, 0.032193180162578966, 0.03326297329204003, 0.03436248476712423, 0.03549094705698534, 0.03664797751126588, 0.037833527116132144, 0.039047831909703436, 0.040291367147815685, 0.04156480419670934, 0.04286897007957424, 0.04420480959404228, 0.04557334992982562, 0.046975667737146246, 0.048412858619854754, 0.049886009046542466, 0.051396170686051915, 0.052944337179455715, 0.0545314233584119 ], [ 0.036743395319187765, 0.035328670181054435, 0.03396798249436115, 0.032665703091564004, 0.03142661509202507, 0.030255902113877513, 0.02915911283405417, 0.028142094166116446, 0.027210885219540154, 0.02637156554127855, 0.02563005460647302, 0.024991865607606044, 0.024461825189067758, 0.02404378077669027, 0.023740326248546387, 0.02355258173218125, 0.023480061374303352, 0.02352065280469003, 0.023670715305677326, 0.02392528465516227, 0.02427835654925495, 0.024723211570201697, 0.025252744231042686, 0.025859765212592988, 0.026537256318734246, 0.02727856857629266, 0.028077562925161333, 0.028928699031792605, 0.029827080938070346, 0.030768469156568844, 0.0317492682439008, 0.032766497538863314, 0.03381775115604512, 0.034901151792461414, 0.036015301590231606, 0.03715923225393379, 0.03833235583824153, 0.039534417063326346, 0.04076544763646067, 0.04202572281484204, 0.04331572029844811, 0.04463608146309949, 0.04598757490887533, 0.04737106229099612, 0.04878746640670997, 0.05023774152390767, 0.05172284594996872, 0.053243716848905984, 0.05480124731936855, 0.05639626574512451 ], [ 0.0383050686876036, 0.03689154243932131, 0.0355333402876262, 0.034234850329133155, 0.03300083287309805, 0.03183639978503426, 0.030746970671350356, 0.02973819953156746, 0.028815865883272646, 0.02798572605010467, 0.02725332375552371, 0.026623764608697375, 0.02610146621266607, 0.0256899034075704, 0.0253913747140065, 0.025206819049776646, 0.025135709307157788, 0.025176040803697092, 0.025324419354953855, 0.02557623893827793, 0.02592592644651391, 0.026367223847941726, 0.0268934772473019, 0.027497906941980555, 0.02817384036941493, 0.0289148983989604, 0.029715132865020106, 0.030569118602237575, 0.03147200637262409, 0.03241954432319002, 0.03340807554250235, 0.034434518443600536, 0.035496335522233476, 0.03659149481075486, 0.03771842723304164, 0.03887598213754211, 0.04006338255847343, 0.04128018121427383, 0.042526217867275444, 0.04380157840710606, 0.04510655585126963, 0.046441613354374724, 0.04780734926138434, 0.049204464214133284, 0.050633730312564545, 0.05209596233359821, 0.05359199101597918, 0.055122638424465305, 0.056688695409224554, 0.05829090117497633 ], [ 0.03991653823471962, 0.03850601567952371, 0.037152041597612595, 0.03585900083592106, 0.03463161002902775, 0.03347488938248724, 0.03239411221228689, 0.03139472713436194, 0.03048224851825914, 0.029662112680268096, 0.02893950057695043, 0.02831913251529891, 0.02780504623576309, 0.02740037569690631, 0.027107152517390605, 0.026926153637915867, 0.02685681607500767, 0.02689723242374229, 0.027044230213857174, 0.02729352670594334, 0.027639940999288078, 0.028077639559379034, 0.02860039028800089, 0.029201803457249032, 0.029875543669345275, 0.03061550369417167, 0.031415937123884595, 0.03227155142326822, 0.03317756590228455, 0.03412974056512517, 0.03512438207463604, 0.0361583326240707, 0.03722894668100761, 0.03833405961451529, 0.03947195129553985, 0.04064130695512825, 0.041841176927663794, 0.0430709363965427, 0.04433024588174271, 0.045619012939895794, 0.04693735536386541, 0.048285566049720875, 0.04966407962563385, 0.051073440895966986, 0.05251427513292638, 0.05398726023969367, 0.05549310080682751, 0.05703250408383229, 0.05860615788734087, 0.060214710465008425 ], [ 0.04157856545988706, 0.040172776423578596, 0.038824687096429895, 0.03753865972409874, 0.03631934819615796, 0.0351716635768944, 0.03410071863124611, 0.03311174738896845, 0.03220999673051777, 0.03140058888447669, 0.030688356748848455, 0.030077658018763703, 0.02957217880751071, 0.029174741967414288, 0.028887138505922765, 0.028710001154828045, 0.028642736468710038, 0.028683525788538975, 0.02882939699127121, 0.029076359934713646, 0.02941959090964088, 0.0298536467874993, 0.030372688533041863, 0.030970695964372293, 0.03164166001096589, 0.03237974393700684, 0.033179409939855714, 0.0340355114899298, 0.03494335447165666, 0.03589873166983094, 0.03689793566297627, 0.03793775503497094, 0.03901545827630841, 0.040128769032556875, 0.04127583561634754, 0.04245519701759212, 0.0436657470654754, 0.04490669792775098, 0.04617754377229281, 0.04747802514875771, 0.048808094457801154, 0.05016788274447785, 0.051557667966429785, 0.05297784483355471, 0.05442889628392182, 0.05591136664304802, 0.05742583650445134, 0.058972899364322325, 0.06055314003951367, 0.0621671148937774 ], [ 0.043291761354228776, 0.041892354618274806, 0.0405517162869409, 0.039274168070706314, 0.03806428402383198, 0.0369268510899887, 0.03586681011321082, 0.03488917437136984, 0.033998923751632305, 0.03320087454428918, 0.03249952753847258, 0.03189890052642453, 0.031402355060883805, 0.03101243068030767, 0.03073070194550702, 0.030557673676253783, 0.0304927272306257, 0.030534125631750453, 0.030679078620773865, 0.030923861635761222, 0.03126397675284686, 0.03169433991378582, 0.03220947778455764, 0.03280371910952266, 0.03347136869255105, 0.03420685619567514, 0.03500485593813313, 0.03586037721547003, 0.03676882706486234, 0.03772604886176099, 0.03872834078856754, 0.03977245828064527, 0.040855604242829864, 0.04197541031883968, 0.04312991191700798, 0.04431751913172139, 0.045536985198414676, 0.04678737369939039, 0.04806802540241234, 0.04937852535632222, 0.05071867067687178, 0.0520884393191988, 0.05348796003833885, 0.05491748367575316, 0.05637735586879562, 0.05786799125447991, 0.05938984922308379, 0.06094341126725265, 0.06252915996507548, 0.06414755962921292 ], [ 0.045056578578343755, 0.043665117110004495, 0.04233340231605905, 0.041065699044985686, 0.039866486514654624, 0.038740415067836584, 0.037692245010547965, 0.036726765462953864, 0.035848692260341944, 0.0350625456851877, 0.034372511183786945, 0.03378228905540698, 0.03329494203326026, 0.03291275214922776, 0.032637099632649116, 0.03246837625240027, 0.032405943169128544, 0.03244813917471015, 0.032592339807047434, 0.03283506224561148, 0.03317210619408717, 0.03359871797216004, 0.03410976413540364, 0.034699901976119656, 0.03536373670091698, 0.03609595823570714, 0.03689145382069248, 0.03774539534780092, 0.0386533025075543, 0.03961108419265994, 0.04061506132963301, 0.04166197452292677, 0.04274897975887691, 0.043873635073578165, 0.04503388065120168, 0.04622801436439138, 0.047454664344266095, 0.048712759798179094, 0.05000150098818722, 0.05132032904050927, 0.05266889607027443, 0.054047035967407724, 0.05545473608954457, 0.0568921100376252, 0.058359371641792536, 0.05985681025287652, 0.061384767413562795, 0.0629436149685398, 0.06453373466263565, 0.06615549926714619 ], [ 0.04687330527578063, 0.0454912627110879, 0.04416984829378837, 0.042913255416632226, 0.041725855589879596, 0.0406121525058546, 0.039576719878423205, 0.03862412171981975, 0.03775881481337407, 0.03698503473256713, 0.03630666879743627, 0.03572712167406998, 0.03524918159203726, 0.034874896935324036, 0.034605473769407716, 0.03444120430022169, 0.034381434152749996, 0.034424572878736084, 0.034568147775383806, 0.03480889667698081, 0.035142891664066304, 0.03556568323145738, 0.036072453645301095, 0.036658168913314, 0.037317720619147864, 0.03804605132268599, 0.03883825980390006, 0.03968968474568235, 0.040595967284313896, 0.04155309412786548, 0.04255742368542603, 0.04360569795872812, 0.044695042941320186, 0.04582296006150645, 0.04698731088798418, 0.048186296959995135, 0.049418436253178544, 0.05068253747441959, 0.051977673106648484, 0.053303151901457194, 0.05465849134021373, 0.05604339044851364, 0.057457703247095517, 0.05890141304797543, 0.06037460775150883, 0.06187745626271707, 0.06341018611905795, 0.06497306240325748, 0.06656636800122037, 0.06819038525403247 ], [ 0.04874206049727013, 0.04737081880940656, 0.04606098505200926, 0.0448166683689924, 0.0436421218031957, 0.04254169465769149, 0.04151977033804846, 0.040580688938340374, 0.03972865487825531, 0.038967631319072986, 0.03830122481391145, 0.03773256551340267, 0.03726418998129608, 0.036897934928366766, 0.03663485059275438, 0.03647514181159786, 0.03641814296091989, 0.03646233005770171, 0.036605369833332825, 0.0368442020753558, 0.037175148582294384, 0.03759404013640792, 0.038096352183562776, 0.03867734036611129, 0.03933216842108697, 0.040056022859176005, 0.04084421090173875, 0.04169224006832489, 0.04259587938055557, 0.0435512032967318, 0.044554620218110116, 0.04560288777226429, 0.04669311716585188, 0.047822768795179535, 0.048989641085695076, 0.050191854259651114, 0.05142783044810734, 0.05269627129514932, 0.05399613396435713, 0.055326606255837074, 0.0566870813775206, 0.05807713278412505, 0.05949648939640973, 0.06094501143747945, 0.06242266706667072, 0.06392950995043378, 0.06546565787974402, 0.06703127252172861, 0.06862654037672293, 0.07025165499887154 ] ] }, { "hoverinfo": "text", "legendgroup": "In-sample", "marker": { "color": "black", "opacity": 0.5, "symbol": 1 }, "mode": "markers", "name": "In-sample", "text": [ "Arm 0_0
l2norm: 1.06028 (SEM: 0)
x1: 0.705081
x2: 0.498923
x3: 0.285351
x4: 0.411926
x5: 0.236553
x6: 0.266599", "Arm 10_0
l2norm: 1.41201 (SEM: 0)
x1: 0.164658
x2: 0.399565
x3: 0.999721
x4: 0.260179
x5: 0.365281
x6: 0.77874", "Arm 11_0
l2norm: 1.70153 (SEM: 0)
x1: 0.913499
x2: 0.78212
x3: 0.48507
x4: 0.835334
x5: 0.61879
x6: 0.364737", "Arm 12_0
l2norm: 1.22105 (SEM: 0)
x1: 6.61078e-15
x2: 0.144692
x3: 1
x4: 0
x5: 0.116906
x6: 0.675539", "Arm 13_0
l2norm: 1.09682 (SEM: 0)
x1: 0.0992452
x2: 0.535423
x3: 0.525477
x4: 0.273995
x5: 0.088508
x6: 0.739896", "Arm 14_0
l2norm: 1.11138 (SEM: 0)
x1: 0.206521
x2: 0.359337
x3: 0.651527
x4: 0.265737
x5: 0.368923
x6: 0.65741", "Arm 15_0
l2norm: 1.04733 (SEM: 0)
x1: 0.114444
x2: 0.223341
x3: 0.603657
x4: 0.1894
x5: 0.378021
x6: 0.700528", "Arm 16_0
l2norm: 1.08958 (SEM: 0)
x1: 4.66363e-17
x2: 0.547938
x3: 0.58312
x4: 0.00734268
x5: 0.395898
x6: 0.624606", "Arm 17_0
l2norm: 1.05768 (SEM: 0)
x1: 0.0428148
x2: 0.0772581
x3: 0.573762
x4: 0.237931
x5: 0.410639
x6: 0.745959", "Arm 18_0
l2norm: 1.08317 (SEM: 0)
x1: 0.239366
x2: 0.208031
x3: 0.566588
x4: 0.251335
x5: 0.364124
x6: 0.745589", "Arm 19_0
l2norm: 0.934617 (SEM: 0)
x1: 0.231448
x2: 0.169424
x3: 0.581724
x4: 0.433365
x5: 0.340042
x6: 0.386524", "Arm 1_0
l2norm: 2.06197 (SEM: 0)
x1: 0.466739
x2: 0.819481
x3: 0.79219
x4: 0.992929
x5: 0.997639
x6: 0.868091", "Arm 20_0
l2norm: 1.15042 (SEM: 0)
x1: 0.414961
x2: 0.226812
x3: 0.549333
x4: 0.203675
x5: 0.402669
x6: 0.770999", "Arm 21_0
l2norm: 1.01203 (SEM: 0)
x1: 0.215843
x2: 0.134775
x3: 0.566613
x4: 0.0736216
x5: 0.329948
x6: 0.723956", "Arm 22_0
l2norm: 1.1729 (SEM: 0)
x1: 0.209111
x2: 0.129212
x3: 0.502776
x4: 0.221008
x5: 0.365751
x6: 0.938014", "Arm 23_0
l2norm: 1.02792 (SEM: 0)
x1: 0.204412
x2: 0.177078
x3: 0.530801
x4: 0.323482
x5: 0.347161
x6: 0.690332", "Arm 24_0
l2norm: 1.02411 (SEM: 0)
x1: 0.17764
x2: 0.214336
x3: 0.458648
x4: 0.387122
x5: 0.322559
x6: 0.712061", "Arm 25_0
l2norm: 1.01538 (SEM: 0)
x1: 0.234215
x2: 0.11416
x3: 0.584072
x4: 0.320887
x5: 0.267669
x6: 0.668836", "Arm 26_0
l2norm: 1.04939 (SEM: 0)
x1: 0.225177
x2: 0.137175
x3: 0.540939
x4: 0.301405
x5: 0.463517
x6: 0.658319", "Arm 27_0
l2norm: 0.939559 (SEM: 0)
x1: 0.212105
x2: 0.136658
x3: 0.465255
x4: 0.268311
x5: 0.317926
x6: 0.655422", "Arm 28_0
l2norm: 0.929378 (SEM: 0)
x1: 0.285306
x2: 0.10115
x3: 0.388179
x4: 0.284548
x5: 0.318776
x6: 0.662453", "Arm 2_0
l2norm: 0.845678 (SEM: 0)
x1: 0.0530491
x2: 0.020073
x3: 0.0366354
x4: 0.225606
x5: 0.519191
x6: 0.624623", "Arm 3_0
l2norm: 1.39046 (SEM: 0)
x1: 0.806284
x2: 0.669242
x3: 0.541517
x4: 0.681674
x5: 0.277379
x6: 0.0230054", "Arm 4_0
l2norm: 1.61942 (SEM: 0)
x1: 0.977593
x2: 0.236893
x3: 0.899005
x4: 0.592799
x5: 0.480273
x6: 0.469512", "Arm 5_0
l2norm: 1.35716 (SEM: 0)
x1: 0.225579
x2: 0.573577
x3: 0.398026
x4: 0.0019963
x5: 0.723035
x6: 0.883623", "Arm 6_0
l2norm: 1.47006 (SEM: 0)
x1: 0.263049
x2: 0.274412
x3: 0.649553
x4: 0.7791
x5: 0.760074
x6: 0.64028", "Arm 7_0
l2norm: 1.11667 (SEM: 0)
x1: 0.502612
x2: 0.907456
x3: 0.146624
x4: 0.31324
x5: 0.0058557
x6: 0.22628", "Arm 8_0
l2norm: 1.31407 (SEM: 0)
x1: 0.575007
x2: 0.112595
x3: 0.748071
x4: 0.0709495
x5: 0.898011
x6: 0.111376", "Arm 9_0
l2norm: 1.10085 (SEM: 0)
x1: 0.315668
x2: 0.697814
x3: 0.235376
x4: 0.521162
x5: 0.148681
x6: 0.525512" ], "type": "scatter", "x": [ 0.7050811648368835, 0.16465811152011156, 0.9134986093267798, 6.610784868850124e-15, 0.09924515168527911, 0.20652080427075026, 0.1144438511450537, 4.6636300211109217e-17, 0.04281479896478467, 0.23936550453463132, 0.23144766339619133, 0.4667387865483761, 0.41496096303464797, 0.21584328197799588, 0.20911114821343021, 0.20441188402027688, 0.1776397708387647, 0.23421469645588353, 0.22517742184194386, 0.21210469693083644, 0.28530593701284984, 0.05304907541722059, 0.8062837133184075, 0.9775928882881999, 0.225578592158854, 0.2630487959831953, 0.5026117376983166, 0.575006827712059, 0.31566846556961536 ], "xaxis": "x", "y": [ 0.49892258644104004, 0.39956475514918566, 0.7821204252541065, 0.14469201244901667, 0.5354225206578843, 0.35933661500130765, 0.22334124784534187, 0.5479378874349394, 0.07725808470858174, 0.2080313107536036, 0.16942358170023816, 0.8194814072921872, 0.22681184330923695, 0.13477494962505673, 0.12921186341977747, 0.17707817019179636, 0.21433596884849432, 0.11416048021955004, 0.13717483564594038, 0.1366575022175512, 0.10115041315680225, 0.020073040388524532, 0.6692415978759527, 0.23689312115311623, 0.5735767157748342, 0.2744124745950103, 0.9074562918394804, 0.11259475164115429, 0.6978135770186782 ], "yaxis": "y" }, { "hoverinfo": "text", "legendgroup": "In-sample", "marker": { "color": "black", "opacity": 0.5, "symbol": 1 }, "mode": "markers", "name": "In-sample", "showlegend": false, "text": [ "Arm 0_0
l2norm: 1.06028 (SEM: 0)
x1: 0.705081
x2: 0.498923
x3: 0.285351
x4: 0.411926
x5: 0.236553
x6: 0.266599", "Arm 10_0
l2norm: 1.41201 (SEM: 0)
x1: 0.164658
x2: 0.399565
x3: 0.999721
x4: 0.260179
x5: 0.365281
x6: 0.77874", "Arm 11_0
l2norm: 1.70153 (SEM: 0)
x1: 0.913499
x2: 0.78212
x3: 0.48507
x4: 0.835334
x5: 0.61879
x6: 0.364737", "Arm 12_0
l2norm: 1.22105 (SEM: 0)
x1: 6.61078e-15
x2: 0.144692
x3: 1
x4: 0
x5: 0.116906
x6: 0.675539", "Arm 13_0
l2norm: 1.09682 (SEM: 0)
x1: 0.0992452
x2: 0.535423
x3: 0.525477
x4: 0.273995
x5: 0.088508
x6: 0.739896", "Arm 14_0
l2norm: 1.11138 (SEM: 0)
x1: 0.206521
x2: 0.359337
x3: 0.651527
x4: 0.265737
x5: 0.368923
x6: 0.65741", "Arm 15_0
l2norm: 1.04733 (SEM: 0)
x1: 0.114444
x2: 0.223341
x3: 0.603657
x4: 0.1894
x5: 0.378021
x6: 0.700528", "Arm 16_0
l2norm: 1.08958 (SEM: 0)
x1: 4.66363e-17
x2: 0.547938
x3: 0.58312
x4: 0.00734268
x5: 0.395898
x6: 0.624606", "Arm 17_0
l2norm: 1.05768 (SEM: 0)
x1: 0.0428148
x2: 0.0772581
x3: 0.573762
x4: 0.237931
x5: 0.410639
x6: 0.745959", "Arm 18_0
l2norm: 1.08317 (SEM: 0)
x1: 0.239366
x2: 0.208031
x3: 0.566588
x4: 0.251335
x5: 0.364124
x6: 0.745589", "Arm 19_0
l2norm: 0.934617 (SEM: 0)
x1: 0.231448
x2: 0.169424
x3: 0.581724
x4: 0.433365
x5: 0.340042
x6: 0.386524", "Arm 1_0
l2norm: 2.06197 (SEM: 0)
x1: 0.466739
x2: 0.819481
x3: 0.79219
x4: 0.992929
x5: 0.997639
x6: 0.868091", "Arm 20_0
l2norm: 1.15042 (SEM: 0)
x1: 0.414961
x2: 0.226812
x3: 0.549333
x4: 0.203675
x5: 0.402669
x6: 0.770999", "Arm 21_0
l2norm: 1.01203 (SEM: 0)
x1: 0.215843
x2: 0.134775
x3: 0.566613
x4: 0.0736216
x5: 0.329948
x6: 0.723956", "Arm 22_0
l2norm: 1.1729 (SEM: 0)
x1: 0.209111
x2: 0.129212
x3: 0.502776
x4: 0.221008
x5: 0.365751
x6: 0.938014", "Arm 23_0
l2norm: 1.02792 (SEM: 0)
x1: 0.204412
x2: 0.177078
x3: 0.530801
x4: 0.323482
x5: 0.347161
x6: 0.690332", "Arm 24_0
l2norm: 1.02411 (SEM: 0)
x1: 0.17764
x2: 0.214336
x3: 0.458648
x4: 0.387122
x5: 0.322559
x6: 0.712061", "Arm 25_0
l2norm: 1.01538 (SEM: 0)
x1: 0.234215
x2: 0.11416
x3: 0.584072
x4: 0.320887
x5: 0.267669
x6: 0.668836", "Arm 26_0
l2norm: 1.04939 (SEM: 0)
x1: 0.225177
x2: 0.137175
x3: 0.540939
x4: 0.301405
x5: 0.463517
x6: 0.658319", "Arm 27_0
l2norm: 0.939559 (SEM: 0)
x1: 0.212105
x2: 0.136658
x3: 0.465255
x4: 0.268311
x5: 0.317926
x6: 0.655422", "Arm 28_0
l2norm: 0.929378 (SEM: 0)
x1: 0.285306
x2: 0.10115
x3: 0.388179
x4: 0.284548
x5: 0.318776
x6: 0.662453", "Arm 2_0
l2norm: 0.845678 (SEM: 0)
x1: 0.0530491
x2: 0.020073
x3: 0.0366354
x4: 0.225606
x5: 0.519191
x6: 0.624623", "Arm 3_0
l2norm: 1.39046 (SEM: 0)
x1: 0.806284
x2: 0.669242
x3: 0.541517
x4: 0.681674
x5: 0.277379
x6: 0.0230054", "Arm 4_0
l2norm: 1.61942 (SEM: 0)
x1: 0.977593
x2: 0.236893
x3: 0.899005
x4: 0.592799
x5: 0.480273
x6: 0.469512", "Arm 5_0
l2norm: 1.35716 (SEM: 0)
x1: 0.225579
x2: 0.573577
x3: 0.398026
x4: 0.0019963
x5: 0.723035
x6: 0.883623", "Arm 6_0
l2norm: 1.47006 (SEM: 0)
x1: 0.263049
x2: 0.274412
x3: 0.649553
x4: 0.7791
x5: 0.760074
x6: 0.64028", "Arm 7_0
l2norm: 1.11667 (SEM: 0)
x1: 0.502612
x2: 0.907456
x3: 0.146624
x4: 0.31324
x5: 0.0058557
x6: 0.22628", "Arm 8_0
l2norm: 1.31407 (SEM: 0)
x1: 0.575007
x2: 0.112595
x3: 0.748071
x4: 0.0709495
x5: 0.898011
x6: 0.111376", "Arm 9_0
l2norm: 1.10085 (SEM: 0)
x1: 0.315668
x2: 0.697814
x3: 0.235376
x4: 0.521162
x5: 0.148681
x6: 0.525512" ], "type": "scatter", "x": [ 0.7050811648368835, 0.16465811152011156, 0.9134986093267798, 6.610784868850124e-15, 0.09924515168527911, 0.20652080427075026, 0.1144438511450537, 4.6636300211109217e-17, 0.04281479896478467, 0.23936550453463132, 0.23144766339619133, 0.4667387865483761, 0.41496096303464797, 0.21584328197799588, 0.20911114821343021, 0.20441188402027688, 0.1776397708387647, 0.23421469645588353, 0.22517742184194386, 0.21210469693083644, 0.28530593701284984, 0.05304907541722059, 0.8062837133184075, 0.9775928882881999, 0.225578592158854, 0.2630487959831953, 0.5026117376983166, 0.575006827712059, 0.31566846556961536 ], "xaxis": "x2", "y": [ 0.49892258644104004, 0.39956475514918566, 0.7821204252541065, 0.14469201244901667, 0.5354225206578843, 0.35933661500130765, 0.22334124784534187, 0.5479378874349394, 0.07725808470858174, 0.2080313107536036, 0.16942358170023816, 0.8194814072921872, 0.22681184330923695, 0.13477494962505673, 0.12921186341977747, 0.17707817019179636, 0.21433596884849432, 0.11416048021955004, 0.13717483564594038, 0.1366575022175512, 0.10115041315680225, 0.020073040388524532, 0.6692415978759527, 0.23689312115311623, 0.5735767157748342, 0.2744124745950103, 0.9074562918394804, 0.11259475164115429, 0.6978135770186782 ], "yaxis": "y2" } ], "layout": { "annotations": [ { "font": { "size": 14 }, "showarrow": false, "text": "Mean", "x": 0.25, "xanchor": "center", "xref": "paper", "y": 1, "yanchor": "bottom", "yref": "paper" }, { "font": { "size": 14 }, "showarrow": false, "text": "Standard Error", "x": 0.8, "xanchor": "center", "xref": "paper", "y": 1, "yanchor": "bottom", "yref": "paper" } ], "autosize": false, "height": 450, "hovermode": "closest", "legend": { "orientation": "h", "x": 0, "y": -0.25 }, "margin": { "b": 100, "l": 35, "pad": 0, "r": 35, "t": 35 }, "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0.0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1.0, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0.0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1.0, "#f0f921" ] ], "type": "heatmap" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0.0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1.0, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0.0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1.0, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermap": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermap" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0.0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1.0, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0.0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1.0, "#f0f921" ] ], "sequentialminus": [ [ 0.0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1.0, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "l2norm" }, "width": 950, "xaxis": { "anchor": "y", "autorange": false, "domain": [ 0.05, 0.45 ], "exponentformat": "e", "range": [ 0.0, 1.0 ], "tickfont": { "size": 11 }, "tickmode": "auto", "title": { "text": "x1" }, "type": "linear" }, "xaxis2": { "anchor": "y2", "autorange": false, "domain": [ 0.6, 1 ], "exponentformat": "e", "range": [ 0.0, 1.0 ], "tickfont": { "size": 11 }, "tickmode": "auto", "title": { "text": "x1" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": false, "domain": [ 0, 1 ], "exponentformat": "e", "range": [ 0.0, 1.0 ], "tickfont": { "size": 11 }, "tickmode": "auto", "title": { "text": "x2" }, "type": "linear" }, "yaxis2": { "anchor": "x2", "autorange": false, "domain": [ 0, 1 ], "exponentformat": "e", "range": [ 0.0, 1.0 ], "tickfont": { "size": 11 }, "tickmode": "auto", "type": "linear" } } }, "text/html": [ "
\n", "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "render(plot_contour(model=model, param_x=\"x1\", param_y=\"x2\", metric_name=\"l2norm\"))" ] }, { "cell_type": "markdown", "id": "4d098aee", "metadata": { "papermill": { "duration": 0.152212, "end_time": "2025-01-31T05:12:34.901628", "exception": false, "start_time": "2025-01-31T05:12:34.749416", "status": "completed" }, "tags": [] }, "source": [ "We also plot optimization trace, which shows best hartmann6 objective value seen by each iteration of the optimization:" ] }, { "cell_type": "code", "execution_count": 9, "id": "3a9058e9", "metadata": { "execution": { "iopub.execute_input": "2025-01-31T05:12:35.205467Z", "iopub.status.busy": "2025-01-31T05:12:35.204769Z", "iopub.status.idle": "2025-01-31T05:12:35.298176Z", "shell.execute_reply": "2025-01-31T05:12:35.297232Z" }, "papermill": { "duration": 0.26159, "end_time": "2025-01-31T05:12:35.318104", "exception": false, "start_time": "2025-01-31T05:12:35.056514", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "linkText": "Export to plot.ly", "plotlyServerURL": "https://plot.ly", "showLink": false }, "data": [ { "hoverinfo": "none", "legendgroup": "", "line": { "width": 0 }, "mode": "lines", "showlegend": false, "type": "scatter", "x": { "bdata": "AQIDBAUGBwgJCgsMDQ4PEBESExQVFhcYGRobHB0e", "dtype": "i1" }, "y": { "bdata": "804o+kQb07/zTij6RBvTv0sgoEMCX+6/SyCgQwJf7r9LIKBDAl/uv0sgoEMCX+6/SyCgQwJf7r9LIKBDAl/uv0sgoEMCX+6/SyCgQwJf7r+vSYcPiiTzv69Jhw+KJPO/r0mHD4ok87+vSYcPiiTzv4EEDnf99APA/PxrqCdbBcD8/GuoJ1sFwPz8a6gnWwXAjDKa/b4MB8CMMpr9vgwHwIwymv2+DAfAjDKa/b4MB8CMMpr9vgwHwJJ02JRvCQnAknTYlG8JCcCSdNiUbwkJwJJ02JRvCQnAgXZGwGeDCsCBdkbAZ4MKwIF2RsBngwrA", "dtype": "f8" } }, { "fill": "tonexty", "fillcolor": "rgba(128,177,211,0.3)", "legendgroup": "objective value", "line": { "color": "rgba(128,177,211,1)" }, "mode": "lines", "name": "objective value", "type": "scatter", "x": { "bdata": "AQIDBAUGBwgJCgsMDQ4PEBESExQVFhcYGRobHB0e", "dtype": "i1" }, "y": { "bdata": "804o+kQb07/zTij6RBvTv0sgoEMCX+6/SyCgQwJf7r9LIKBDAl/uv0sgoEMCX+6/SyCgQwJf7r9LIKBDAl/uv0sgoEMCX+6/SyCgQwJf7r+vSYcPiiTzv69Jhw+KJPO/r0mHD4ok87+vSYcPiiTzv4EEDnf99APA/PxrqCdbBcD8/GuoJ1sFwPz8a6gnWwXAjDKa/b4MB8CMMpr9vgwHwIwymv2+DAfAjDKa/b4MB8CMMpr9vgwHwJJ02JRvCQnAknTYlG8JCcCSdNiUbwkJwJJ02JRvCQnAgXZGwGeDCsCBdkbAZ4MKwIF2RsBngwrA", "dtype": "f8" } }, { "fill": "tonexty", "fillcolor": "rgba(128,177,211,0.3)", "hoverinfo": "none", "legendgroup": "", "line": { "width": 0 }, "mode": "lines", "showlegend": false, "type": "scatter", "x": { "bdata": "AQIDBAUGBwgJCgsMDQ4PEBESExQVFhcYGRobHB0e", "dtype": "i1" }, "y": { "bdata": "804o+kQb07/zTij6RBvTv0sgoEMCX+6/SyCgQwJf7r9LIKBDAl/uv0sgoEMCX+6/SyCgQwJf7r9LIKBDAl/uv0sgoEMCX+6/SyCgQwJf7r+vSYcPiiTzv69Jhw+KJPO/r0mHD4ok87+vSYcPiiTzv4EEDnf99APA/PxrqCdbBcD8/GuoJ1sFwPz8a6gnWwXAjDKa/b4MB8CMMpr9vgwHwIwymv2+DAfAjDKa/b4MB8CMMpr9vgwHwJJ02JRvCQnAknTYlG8JCcCSdNiUbwkJwJJ02JRvCQnAgXZGwGeDCsCBdkbAZ4MKwIF2RsBngwrA", "dtype": "f8" } }, { "line": { "color": "rgba(253,180,98,1)", "dash": "dash" }, "mode": "lines", "name": "Optimum", "type": "scatter", "x": [ 1, 30 ], "y": [ -3.32237, -3.32237 ] } ], "layout": { "showlegend": true, "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0.0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1.0, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0.0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1.0, "#f0f921" ] ], "type": "heatmap" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0.0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1.0, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0.0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1.0, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermap": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermap" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0.0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1.0, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0.0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1.0, "#f0f921" ] ], "sequentialminus": [ [ 0.0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1.0, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Model performance vs. # of iterations" }, "xaxis": { "title": { "text": "Iteration" } }, "yaxis": { "title": { "text": "Hartmann6" } } } }, "text/html": [ "
\n", "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# `plot_single_method` expects a 2-d array of means, because it expects to average means from multiple\n", "# optimization runs, so we wrap out best objectives array in another array.\n", "best_objectives = np.array(\n", " [[trial.objective_mean for trial in experiment.trials.values()]]\n", ")\n", "best_objective_plot = optimization_trace_single_method(\n", " y=np.minimum.accumulate(best_objectives, axis=1),\n", " optimum=hartmann6.fmin,\n", " title=\"Model performance vs. # of iterations\",\n", " ylabel=\"Hartmann6\",\n", ")\n", "render(best_objective_plot)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.10.16" }, "papermill": { "default_parameters": {}, "duration": 152.056186, "end_time": "2025-01-31T05:12:38.031934", "environment_variables": {}, "exception": null, "input_path": "/tmp/tmp.8SPGnWMU26/Ax-main/tutorials/gpei_hartmann_loop.ipynb", "output_path": "/tmp/tmp.8SPGnWMU26/Ax-main/tutorials/gpei_hartmann_loop.ipynb", "parameters": {}, "start_time": "2025-01-31T05:10:05.975748", "version": "2.6.0" } }, "nbformat": 4, "nbformat_minor": 5 }