{ "cells": [ { "cell_type": "markdown", "id": "2150c5c7", "metadata": { "papermill": { "duration": 0.003306, "end_time": "2024-03-01T16:31:44.849303", "exception": false, "start_time": "2024-03-01T16:31:44.845997", "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": "7b66783a", "metadata": { "execution": { "iopub.execute_input": "2024-03-01T16:31:44.855767Z", "iopub.status.busy": "2024-03-01T16:31:44.855048Z", "iopub.status.idle": "2024-03-01T16:31:48.131788Z", "shell.execute_reply": "2024-03-01T16:31:48.130945Z" }, "papermill": { "duration": 3.324193, "end_time": "2024-03-01T16:31:48.175990", "exception": false, "start_time": "2024-03-01T16:31:44.851797", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "text/html": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:31:48] ax.utils.notebook.plotting: Injecting Plotly library into cell. Do not overwrite or delete cell.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:31:48] 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", " " ] }, "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": "375c77c4", "metadata": { "papermill": { "duration": 0.038883, "end_time": "2024-03-01T16:31:48.252115", "exception": false, "start_time": "2024-03-01T16:31:48.213232", "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": "480d4528", "metadata": { "execution": { "iopub.execute_input": "2024-03-01T16:31:48.334843Z", "iopub.status.busy": "2024-03-01T16:31:48.334169Z", "iopub.status.idle": "2024-03-01T16:31:48.338905Z", "shell.execute_reply": "2024-03-01T16:31:48.338238Z" }, "papermill": { "duration": 0.047873, "end_time": "2024-03-01T16:31:48.340373", "exception": false, "start_time": "2024-03-01T16:31:48.292500", "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": "0b219166", "metadata": { "papermill": { "duration": 0.040606, "end_time": "2024-03-01T16:31:48.421479", "exception": false, "start_time": "2024-03-01T16:31:48.380873", "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": "8d182fe8", "metadata": { "papermill": { "duration": 0.040502, "end_time": "2024-03-01T16:31:48.502654", "exception": false, "start_time": "2024-03-01T16:31:48.462152", "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": "f4ecaa04", "metadata": { "execution": { "iopub.execute_input": "2024-03-01T16:31:48.585000Z", "iopub.status.busy": "2024-03-01T16:31:48.584705Z", "iopub.status.idle": "2024-03-01T16:33:49.977572Z", "shell.execute_reply": "2024-03-01T16:33:49.976824Z" }, "papermill": { "duration": 121.436647, "end_time": "2024-03-01T16:33:49.979892", "exception": false, "start_time": "2024-03-01T16:31:48.543245", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:31:48] 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 03-01 16:31:48] 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 03-01 16:31:48] 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 03-01 16:31:48] 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 03-01 16:31:48] 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 03-01 16:31:48] 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 03-01 16:31:48] 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 03-01 16:31:48] 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 03-01 16:31:48] ax.modelbridge.dispatch_utils: calculated num_initialization_trials=12\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:31:48] ax.modelbridge.dispatch_utils: num_completed_initialization_trials=0 num_remaining_initialization_trials=12\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:31:48] 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 03-01 16:31:48] 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 03-01 16:31:48] ax.service.managed_loop: Started full optimization with 30 steps.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:31:48] ax.service.managed_loop: Running optimization trial 1...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:31:48] ax.service.managed_loop: Running optimization trial 2...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:31:48] ax.service.managed_loop: Running optimization trial 3...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:31:48] ax.service.managed_loop: Running optimization trial 4...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:31:48] ax.service.managed_loop: Running optimization trial 5...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:31:48] ax.service.managed_loop: Running optimization trial 6...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:31:48] ax.service.managed_loop: Running optimization trial 7...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:31:48] ax.service.managed_loop: Running optimization trial 8...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:31:48] ax.service.managed_loop: Running optimization trial 9...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:31:48] ax.service.managed_loop: Running optimization trial 10...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:31:48] ax.service.managed_loop: Running optimization trial 11...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:31:48] ax.service.managed_loop: Running optimization trial 12...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:31:48] ax.service.managed_loop: Running optimization trial 13...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:31:55] ax.service.managed_loop: Running optimization trial 14...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:32:04] ax.service.managed_loop: Running optimization trial 15...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:32:11] ax.service.managed_loop: Running optimization trial 16...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:32:18] ax.service.managed_loop: Running optimization trial 17...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:32:24] ax.service.managed_loop: Running optimization trial 18...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:32:31] ax.service.managed_loop: Running optimization trial 19...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:32:38] ax.service.managed_loop: Running optimization trial 20...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:32:44] ax.service.managed_loop: Running optimization trial 21...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:32:50] ax.service.managed_loop: Running optimization trial 22...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:32:55] ax.service.managed_loop: Running optimization trial 23...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:33:01] ax.service.managed_loop: Running optimization trial 24...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:33:09] ax.service.managed_loop: Running optimization trial 25...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:33:15] ax.service.managed_loop: Running optimization trial 26...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:33:21] ax.service.managed_loop: Running optimization trial 27...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:33:27] ax.service.managed_loop: Running optimization trial 28...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:33:34] ax.service.managed_loop: Running optimization trial 29...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 03-01 16:33:42] 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": "ce5e8b5b", "metadata": { "papermill": { "duration": 0.053886, "end_time": "2024-03-01T16:33:50.106167", "exception": false, "start_time": "2024-03-01T16:33:50.052281", "status": "completed" }, "tags": [] }, "source": [ "And we can introspect optimization results:" ] }, { "cell_type": "code", "execution_count": 4, "id": "85ea93c9", "metadata": { "execution": { "iopub.execute_input": "2024-03-01T16:33:50.195248Z", "iopub.status.busy": "2024-03-01T16:33:50.194594Z", "iopub.status.idle": "2024-03-01T16:33:50.201508Z", "shell.execute_reply": "2024-03-01T16:33:50.200858Z" }, "papermill": { "duration": 0.052786, "end_time": "2024-03-01T16:33:50.202928", "exception": false, "start_time": "2024-03-01T16:33:50.150142", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "{'x1': 0.19539133116559393,\n", " 'x2': 0.13076645318512956,\n", " 'x3': 0.47342175790484636,\n", " 'x4': 0.2680870659744522,\n", " 'x5': 0.30936593249631217,\n", " 'x6': 0.6574812241032494}" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "best_parameters" ] }, { "cell_type": "code", "execution_count": 5, "id": "1478cdd9", "metadata": { "execution": { "iopub.execute_input": "2024-03-01T16:33:50.290790Z", "iopub.status.busy": "2024-03-01T16:33:50.290126Z", "iopub.status.idle": "2024-03-01T16:33:50.295168Z", "shell.execute_reply": "2024-03-01T16:33:50.294497Z" }, "papermill": { "duration": 0.050645, "end_time": "2024-03-01T16:33:50.296624", "exception": false, "start_time": "2024-03-01T16:33:50.245979", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "{'hartmann6': -3.3157006195668597, 'l2norm': 0.937697332732986}" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "means, covariances = values\n", "means" ] }, { "cell_type": "markdown", "id": "edafc0be", "metadata": { "papermill": { "duration": 0.042805, "end_time": "2024-03-01T16:33:50.382374", "exception": false, "start_time": "2024-03-01T16:33:50.339569", "status": "completed" }, "tags": [] }, "source": [ "For comparison, minimum of Hartmann6 is:" ] }, { "cell_type": "code", "execution_count": 6, "id": "30655fb0", "metadata": { "execution": { "iopub.execute_input": "2024-03-01T16:33:50.472836Z", "iopub.status.busy": "2024-03-01T16:33:50.472165Z", "iopub.status.idle": "2024-03-01T16:33:50.476929Z", "shell.execute_reply": "2024-03-01T16:33:50.476361Z" }, "papermill": { "duration": 0.050577, "end_time": "2024-03-01T16:33:50.478296", "exception": false, "start_time": "2024-03-01T16:33:50.427719", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "-3.32237" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hartmann6.fmin" ] }, { "cell_type": "markdown", "id": "066b0948", "metadata": { "papermill": { "duration": 0.042675, "end_time": "2024-03-01T16:33:50.563957", "exception": false, "start_time": "2024-03-01T16:33:50.521282", "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": "7e22957d", "metadata": { "execution": { "iopub.execute_input": "2024-03-01T16:33:50.653058Z", "iopub.status.busy": "2024-03-01T16:33:50.652777Z", "iopub.status.idle": "2024-03-01T16:33:51.517446Z", "shell.execute_reply": "2024-03-01T16:33:51.516778Z" }, "papermill": { "duration": 0.913828, "end_time": "2024-03-01T16:33:51.522586", "exception": false, "start_time": "2024-03-01T16:33:50.608758", "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": [ [ -2.557342206939261, -2.6056819074723574, -2.6502646843770346, -2.6906877487350855, -2.7265774106686824, -2.757597923490174, -2.7834597695852943, -2.8039269499276207, -2.818822840736904, -2.828034218082321, -2.831513142273889, -2.8292765518784133, -2.8214036311253343, -2.808031239770693, -2.7893478686183206, -2.76558666032002, -2.73701800906224, -2.703942158033224, -2.6666820962208586, -2.625576949758271, -2.5809759811323394, -2.5332332513793423, -2.482702960093386, -2.429735450200875, -2.3746738453752108, -2.3178512754824494, -2.2595886380950736, -2.2001928407341724, -2.1399554681002613, -2.0791518202679375, -2.0180402709344563, -1.95686189876595, -1.8958403492575453, -1.8351818890162286, -1.77507561878485, -1.7156938157221293, -1.6571923793593124, -1.5997113592284935, -1.5433755453856948, -1.4882951059334288, -1.434566258194993, -1.3822719624226094, -1.3314826288552462, -1.2822568306017033, -1.2346420162343712, -1.1886752171619035, -1.1443837458291495, -1.1017858815927488, -1.0608915417641303, -1.021702935820095 ], [ -2.580249487090171, -2.6300967783115206, -2.6761156253340825, -2.7178813922647995, -2.7549992858903227, -2.787114015942091, -2.8139188923200082, -2.8351638656162557, -2.8506620135346874, -2.860294007421614, -2.8640101860383513, -2.861830043603393, -2.8538391996451833, -2.840184201160155, -2.821065723735213, -2.7967308211572925, -2.767464820198823, -2.7335833226084905, -2.6954246259431587, -2.653342750220454, -2.607701169018404, -2.558867284894232, -2.5072076498734504, -2.4530839051998234, -2.3968493966869167, -2.3388464108101377, -2.2794039707242537, -2.218836129478131, -2.1574406987294807, -2.0954983542869896, -2.0332720640591093, -1.9710067888878207, -1.9089294118783924, -1.8472488569234458, -1.7861563619837952, -1.7258258772256987, -1.6664145622699658, -1.6080633605628936, -1.5508976322328838, -1.4950278297641855, -1.4405502034213384, -1.3875475256199872, -1.336089825388321, -1.2862351257253246, -1.2380301780641534, -1.1915111892170325, -1.146704537138008, -1.103627472615581, -1.0622888046239707, -1.0226895675414986 ], [ -2.5993354770380024, -2.650623415962401, -2.6980209620657933, -2.74108175746336, -2.7793898969078414, -2.8125704379039043, -2.840299346458933, -2.862312325758305, -2.878411967828931, -2.888472692488738, -2.892443027915726, -2.890344987011253, -2.88227060716567, -2.8683760742614828, -2.848874119283762, -2.824025463437264, -2.794129997453203, -2.75951819597361, -2.7205430806455726, -2.677572904148042, -2.630984635596983, -2.5811582705052962, -2.5284719513384495, -2.4732978596474138, -2.4159988242166954, -2.356925579887516, -2.2964146073528884, -2.2347864839543345, -2.172344678103819, -2.1093747243624494, -2.046143721617824, -1.9829001026323996, -1.9198736290922693, -1.857275571922033, -1.7952990419024875, -1.734119440460203, -1.6738950048636432, -1.6147674259606455, -1.5568625200433457, -1.500290939457067, -1.4451489092081593, -1.3915189791061828, -1.3394707829281756, -1.2890617977490202, -1.2403380979701106, -1.1933350997278693, -1.148078292299822, -1.1045839538757138, -1.0628598496492763, -1.022905910636829 ], [ -2.614313626956447, -2.666958447459651, -2.7156616796221726, -2.7599556838034562, -2.799403733017098, -2.8336113961584095, -2.8622373571672126, -2.8850030542655336, -2.9017005171930017, -2.912197797483891, -2.9164414689264095, -2.9144558908631897, -2.9063392971679, -2.892257208708437, -2.8724339952272437, -2.8471435026066167, -2.816699523010336, -2.781446641323463, -2.74175176544456, -2.697996492834789, -2.6505703736758752, -2.5998650766368465, -2.5462694283226286, -2.4901652738400055, -2.4319240907237543, -2.3719042803021755, -2.3104490580374244, -2.24788486593713, -2.1845202343965626, -2.120645026655923, -2.056530005610528, -1.9924266694275694, -1.928567308945661, -1.8651652459578052, -1.8024152170992471, -1.7404938731393913, -1.6795603680107682, -1.6197570159195396, -1.561209998404388, -1.504030106282494, -1.4483135040810415, -1.3941425068390085, -1.3415863611122514, -1.2907020236587994, -1.2415349326521068, -1.1941197673971378, -1.1484811934355665, -1.1046345906487134, -1.0625867625263978, -1.0223366251910053 ], [ -2.6249157237400245, -2.6788159381666166, -2.7287352347125378, -2.7741855001495996, -2.8147098315944916, -2.8498948018147443, -2.8793821604571495, -2.90287928688239, -2.9201677122652914, -2.9311090420529404, -2.9356476805873877, -2.9338099852270614, -2.925699903401809, -2.9114916690842207, -2.891420530630982, -2.865772573118001, -2.8348745036088205, -2.7990839589596654, -2.7587806320500885, -2.714358346801555, -2.666218122092847, -2.6147622135342767, -2.5603890890055636, -2.5034892714925014, -2.4444419690687567, -2.3836124056042274, -2.321349765310271, -2.257985667775196, -2.1938330961283325, -2.129185708195415, -2.0643174681443694, -1.9994825436451462, -1.934915420677414, -1.8708311946602239, -1.8074260024872353, -1.7448775653237807, -1.6833458166838553, -1.6229735943971295, -1.5638873786460943, -1.506198061349413, -1.450001734836008, -1.3953804900380655, -1.3424032163691157, -1.2911263970814342, -1.2415948952479847, -1.193842726618208, -1.1478938164830783, -1.1037627383803186, -1.0614554330018908, -1.0209699060586712 ], [ -2.6308992211952065, -2.68593510215992, -2.736963598901288, -2.7834773495748464, -2.825000331182704, -2.8611009961322047, -2.8914048430199406, -2.915605662585598, -2.9334747186151, -2.944867139978784, -2.9497248601295833, -2.948075671533461, -2.9400284372896337, -2.9257651089231933, -2.905530662949756, -2.879622162500157, -2.8483778992281255, -2.812167198197057, -2.7713811696386026, -2.7264245173577843, -2.6777084248818532, -2.6256444914948727, -2.5706396585079174, -2.5130920450423258, -2.453387600768049, -2.3918974790332066, -2.3289760356504416, -2.2649593642138086, -2.2001642865052946, -2.134887725094671, -2.0694063938544414, -2.00397675034393, -1.9388351616230073, -1.8741982419369412, -1.810263326850896, -1.7472090538335023, -1.6851960240433166, -1.624367524218622, -1.5648502911698305, -1.5067553044810582, -1.450178595695752, -1.3952020645368115, -1.3418942946360937, -1.2903113628591303, -1.2404976376414174, -1.1924865628344659, -1.1463014244215257, -1.1019560981327459, -1.0594557764941466, -1.0187976742106954 ], [ -2.6320552207474925, -2.6880888181160136, -2.7401022605594663, -2.7875706172487806, -2.830000256212946, -2.8669428142015363, -2.8980085968156257, -2.9228785699656115, -2.9413141468030743, -2.953164001618168, -2.9583671988937352, -2.956952163234112, -2.9490315253681487, -2.934793549844972, -2.9144913730509825, -2.8884313823722847, -2.8569617720691216, -2.820461884933241, -2.7793326183555167, -2.7339879890931735, -2.6848478608185644, -2.6323317897520853, -2.5768539126564436, -2.51881878203711, -2.458618043918064, -2.3966278521618656, -2.333206917567567, -2.26869509763056, -2.2034124421294745, -2.1376586194350917, -2.071712657904083, -2.005832945544934, -1.9402574391526335, -1.8752040412573192, -1.8108711095422145, -1.747438068915138, -1.6850661012365304, -1.6238988918885644, -1.5640634159842728, -1.5056707501262026, -1.4488168982874177, -1.3935836226526896, -1.3400392721684444, -1.288239603144032, -1.2382285875588532, -1.19003920579101, -1.143694221322844, -1.0992069356252152, -1.0565819219028194, -1.0158157367238094 ], [ -2.6282168197503877, -2.6850926794825045, -2.7379499334355253, -2.78624823217254, -2.8294783264321497, -2.86717679755373, -2.8989402115399385, -2.924437777977882, -2.943421665171831, -2.955734166984401, -2.961310983191478, -2.9601801269493455, -2.952456498401358, -2.9383328623327194, -2.918068530742657, -2.8919771720336227, -2.860414854302914, -2.823768968142761, -2.78244831567511, -2.7368744527535416, -2.687474274026287, -2.6346737793917367, -2.578892929821578, -2.5205414832483273, -2.460015694582891, -2.397695765348529, -2.333943935105093, -2.2691031163955717, -2.203495985645592, -2.137424453189899, -2.0711694457707552, -2.004990944153597, -1.9391282268301122, -1.8738002781314433, -1.809206325512453, -1.7455264763745861, -1.6829224296572503, -1.6215382416316788, -1.56150112895377, -1.5029222951425352, -1.4458977693080064, -1.3905092482078705, -1.3368249346105319, -1.2849003665222283, -1.234779233131925, -1.1864941743713753, -1.1400675618086247, -1.095512259219361, -1.0528323616397404, -1.0120239120235783 ], [ -2.61926736922242, -2.6768141004976673, -2.730358482976233, -2.779347351492488, -2.8232583012119123, -2.8616150668876528, -2.8940023151904306, -2.920078860576517, -2.9395884087965527, -2.9523669950216513, -2.958346374235013, -2.957552898323927, -2.9501019363498946, -2.936188580711675, -2.9160759580873945, -2.8900826132428614, -2.858570132839078, -2.821931703297425, -2.780581914517942, -2.7349478995450567, -2.6854617895395534, -2.632554406983493, -2.5766500894980457, -2.5181625218177057, -2.457491449895354, -2.395020155339345, -2.331113577321317, -2.266116980329259, -2.2003550780349586, -2.134131535115261, -2.067728779596388, -2.001408067961798, -1.9354097538299746, -1.8699537185146071, -1.8052399283132017, -1.7414490890334393, -1.6787433731612238, -1.6172671992943066, -1.5571480470943433, -1.4984972941203838, -1.4414110635600679, -1.38597107412384, -1.3322454852575154, -1.2802897323983449, -1.2301473482841008, -1.1818507673551135, -1.1354221110950302, -1.090873952765725, -1.048210060433452, -1.007426117483792 ], [ -2.605147996848359, -2.6631807597223216, -2.717242284312764, -2.76676958376711, -2.8112299692649376, -2.8501369310140507, -2.8830654158493876, -2.9096654592907303, -2.929673239107673, -2.942918699414969, -2.949329019181517, -2.9489275042091556, -2.941827985222833, -2.92822544652873, -2.908384171947834, -2.8826248749379744, -2.851312020500257, -2.814842088806942, -2.7736331332589548, -2.7281157384724217, -2.6787253539277316, -2.6258959141079417, -2.5700546242104423, -2.5116177777113746, -2.4509874712820245, -2.3885490892800223, -2.324669440901379, -2.259695445698394, -2.1939532760195135, -2.127747877143875, -2.0613627970433934, -1.9950602676591394, -1.9290814883283156, -1.8636470696218097, -1.7989576024600593, -1.7351943230840257, -1.6725198493803197, -1.611078968295486, -1.5509994577121198, -1.4923929292736164, -1.4353556812987098, -1.3799695531747527, -1.3263027745055562, -1.2744108038546937, -1.224337153202883, -1.176114195259927, -1.1297639515670883, -1.0852988599234223, -1.0427225200972616, -1.0020304170698744 ], [ -2.585863620347237, -2.6441874722869896, -2.6985859636027554, -2.748489568561612, -2.7933584846102013, -2.8326988449942894, -2.866078304813263, -2.893139928198652, -2.9136134215712803, -2.9273228612651065, -2.9341902232621973, -2.9342343461715847, -2.9275654353203904, -2.914375800139635, -2.8949280443593692, -2.8695421321569055, -2.838582551396869, -2.8024463759678175, -2.7615526308422904, -2.7163330932906384, -2.667224512159394, -2.614662150527579, -2.5590745218711444, -2.50087917769755, -2.4404794057090258, -2.378261706127936, -2.3145939261327144, -2.249823946009848, -2.1842788241905597, -2.118264321036542, -2.0520647327195305, -1.9859429767063694, -1.9201408792527852, -1.8548796230272406, -1.7903603196574809, -1.7267646777441406, -1.6642557418373345, -1.6029786821285859, -1.5430616182628196, -1.4846164637999855, -1.4277397805178613, -1.3725136340012698, -1.3190064438527833, -1.2672738234266196, -1.2173594052641337, -1.169295649428037, -1.1231046327224286, -1.0787988173759255, -1.0363817981833028, -0.9958490273761145 ], [ -2.561486686877455, -2.6199005667391946, -2.674449420659848, -2.724560626984865, -2.7696905945794086, -2.809341130331378, -2.843075152653962, -2.8705306693118606, -2.8914320600549743, -2.9055978322690796, -2.9129442046249747, -2.9134841980089163, -2.907322359209758, -2.8946457707823785, -2.8757124808820214, -2.850838699938598, -2.8203859677603966, -2.784749129671543, -2.744345577530855, -2.6996059273003077, -2.650966132895939, -2.59886094544543, -2.543718585553274, -2.4859564823489295, -2.425977934506358, -2.364169557841652, -2.3008993972177745, -2.2365155947701045, -2.1713455204810237, -2.105695284144486, -2.0398495594632444, -1.974071661344115, -1.9086038264593843, -1.8436676549412652, -1.779464677807101, -1.71617702051012, -1.6539681379971292, -1.5929836009392981, -1.5333519164772, -1.4751853699655924, -1.418580876881238, -1.3636208363237245, -1.3103739794400941, -1.2588962076782582, -1.2092314170563063, -1.161412305656064, -1.1154611623391513, -1.071390635271238, -1.029204479253607, -0.9888982811295475 ], [ -2.5321580748493946, -2.5904590859465735, -2.6449693200710866, -2.695116529216332, -2.7403566682407035, -2.7801902476990374, -2.814178006767875, -2.841954831277069, -2.8632409694181495, -2.877849749874237, -2.8856912122794163, -2.88677137240042, -2.881187257784935, -2.8691183253689725, -2.850815301383304, -2.826587692856735, -2.796791127412268, -2.76181537381664, -2.722073543969378, -2.6779926917446017, -2.6300058371415815, -2.5785453392383646, -2.5240374909742243, -2.466898190619286, -2.407529544496712, -2.3463172644440866, -2.283628736593034, -2.219811652447591, -2.155193107402479, -2.090079084990722, -2.0247542569691777, -1.959482039771995, -1.8945048569472265, -1.830044565060102, -1.7663030073356665, -1.7034626651605518, -1.6416873825930633, -1.5811231433525625, -1.5218988834667277, -1.464127325927693, -1.4079058264107522, -1.3533172213973739, -1.3004306719629297, -1.2493024980788405, -1.1999769995724823, -1.152487260917842, -1.1068559378252791, -1.0630960241884901, -1.0212115983604, -0.9811985479957187 ], [ -2.4980849416206983, -2.556072575576907, -2.6103567986993976, -2.660369112478538, -2.705568240255614, -2.745456310805398, -2.779594344835435, -2.8076159873489606, -2.8292385626522023, -2.844270701794844, -2.8526160095514292, -2.8542725348054963, -2.8493281870322393, -2.8379526666226944, -2.820386853603516, -2.796930794865888, -2.7679313767352802, -2.7337705251606104, -2.694854465480871, -2.6516043003822727, -2.6044479707718646, -2.5538135471179713, -2.500123738074922, -2.443791478366014, -2.385216453792315, -2.324782428124694, -2.2628552486876297, -2.199781421330753, -2.1358871594067863, -2.0714778244318506, -2.006837687908759, -1.9422299542412063, -1.8778969937964871, -1.8140607430953584, -1.7509232359511269, -1.6886672352794534, -1.6274569403793726, -1.5674387488530837, -1.508742056081141, -1.4514800783792678, -1.395750688699097, -1.3416372560523264, -1.2892094817822026, -1.2385242274170856, -1.1896263301524694, -1.1425494030518868, -1.0973166178633726, -1.0539414689455175, -1.0124285172156657, -0.9727741133011327 ], [ -2.4595356746288957, -2.51701568734134, -2.5708917068805794, -2.620602168725142, -2.6656115871397614, -2.705426432523381, -2.7396103091490263, -2.767797401978022, -2.789703300489644, -2.805132496014405, -2.813982075054061, -2.8162414134949905, -2.81198802079002, -2.801380057756093, -2.784646377812047, -2.7620751186223274, -2.734001846303676, -2.7007980635306086, -2.662860628532921, -2.6206023807981267, -2.57444407722864, -2.524807617316414, -2.4721104653678987, -2.4167611449558337, -2.3591556711236525, -2.2996747892376117, -2.2386818993041095, -2.17652155720951, -2.1135184575547195, -2.049976815429951, -1.9861800760878576, -1.9223908918410806, -1.8588513146256949, -1.7957831606142347, -1.7333885101452888, -1.6718503121850652, -1.6113330676661497, -1.5519835704666056, -1.4939316885895648, -1.437291171357736, -1.3821604712139324, -1.328623571072585, -1.2767508101437541, -1.2265997027903708, -1.178215746314852, -1.1316332146356385, -1.0868759356363806, -1.0439580505811308, -1.002884754416667, -0.963653016058902 ], [ -2.4168323948248975, -2.4736201506831224, -2.5269140597909603, -2.57616241127666, -2.6208382744824004, -2.6604549507123694, -2.694580740438403, -2.7228520263945475, -2.744983815099285, -2.76077707792594, -2.770122464825301, -2.773000234175259, -2.769476553448041, -2.759696651312951, -2.743875580346, -2.722287506170127, -2.695254433497672, -2.6631351342159943, -2.626314823766528, -2.5851959092537364, -2.54018995010094, -2.49171084408682, -2.440169173358587, -2.3859676041054785, -2.3294972173919826, -2.2711346473300864, -2.2112399095533, -2.1501548135877115, -2.0882018646899545, -2.0256835726545876, -1.9628820962829459, -1.9000591623480927, -1.8374562069009641, -1.7752946946729091, -1.7137765792230617, -1.6530848724602771, -1.5933842973443315, -1.5348220020387608, -1.4775283176352605, -1.4216175448727417, -1.3671887580966893, -1.3143266171003718, -1.2631021795040658, -1.2135737080011801, -1.1657874681653344, -1.1197785136018368, -1.0755714560709269, -1.0331812188383247, -0.9926137719511033, -0.9538668484243042 ], [ -2.3703416315917156, -2.426264823742498, -2.478813505575274, -2.5274484228849587, -2.5716536692037506, -2.6109516097535264, -2.64491715330536, -2.6731904096032224, -2.695486911515098, -2.711604784276981, -2.7214284788626912, -2.724928945913863, -2.7221604079022406, -2.713254168806613, -2.698410136232876, -2.6778868670189597, -2.6519909544578755, -2.6210664667105843, -2.5854849686470613, -2.5456364672322143, -2.5019214528584603, -2.4547440833394307, -2.404506474421821, -2.351604012839842, -2.2964215851195657, -2.239330608683995, -2.1806867546896047, -2.120828259968269, -2.0600747356466886, -1.9987263908151425, -1.9370636001083956, -1.8753467537914124, -1.813816337724535, -1.752693198380189, -1.6921789549356896, -1.6324565264503985, -1.5736907473377617, -1.5160290488509534, -1.4596021881953922, -1.4045250102329754, -1.3508972296131683, -1.2988042236069441, -1.2483178279761589, -1.1994971299211694, -1.1523892535488753, -1.1070301344223406, -1.063445280623215, -1.021650518408654, -0.9816527210060473, -0.9434505193924094 ], [ -2.3204638564549414, -2.375364574375254, -2.427017617351098, -2.474898441177717, -2.5185043160338108, -2.5573686375522526, -2.5910746330672643, -2.619267543371998, -2.6416644976622057, -2.658061501872314, -2.6683371938280382, -2.6724532667612952, -2.670451717370315, -2.6624493178925968, -2.6486299103960493, -2.62923523850177, -2.604555046185949, -2.574917093429261, -2.5406775970959856, -2.502212443352993, -2.459909368204065, -2.4141611834789805, -2.3653600414878517, -2.3138926787198177, -2.2601365502184487, -2.2044567542197506, -2.1472036452101437, -2.088711038315072, -2.029294915884761, -1.9692525564265067, -1.9088620155315192, -1.8483818975459116, -1.7880513651357526, -1.7280903414746576, -1.6686998665222248, -1.6100625747996156, -1.5523432672671276, -1.495689554438022, -1.4402325517925814, -1.3860876119502752, -1.3333550809729797, -1.2821210686579096, -1.2324582247781746, -1.1844265149793813, -1.1380739914766445, -1.0934375548487005, -1.0505437041256387, -1.0094092730434618, -0.9700421508236892, -0.9324419861599424 ], [ -2.267622558723488, -2.321358716639434, -2.3719797657712114, -2.41897775930568, -2.4618649702170003, -2.5001875216839364, -2.5335384708498836, -2.5615694742502346, -2.5840002932283928, -2.6006255945702073, -2.611318728878512, -2.616032404848635, -2.6147964087693296, -2.6077127299138008, -2.594948620767674, -2.576728221368066, -2.553323395426501, -2.5250443678629297, -2.4922306418899023, -2.4552425392554316, -2.4144535765051085, -2.370243780197671, -2.322993961620911, -2.2730809159609997, -2.22087347746098, -2.166729345144615, -2.1109925879328846, -2.0539917392917175, -1.996038396930851, -1.9374262505155486, -1.8784304685807378, -1.819307384087695, -1.7602944259122124, -1.7016102507873794, -1.6434550367601801, -1.586010905049494, -1.5294424423430844, -1.4738973000913276, -1.419506851299826, -1.3663868887461903, -1.3146383514980582, -1.264348069135211, -1.2155895152186895, -1.168423563340239, -1.1228992405588711, -1.0790544742191002, -1.0369168290773678, -0.996504232369547, -0.9578256849638969, -0.9208819570917128 ], [ -2.212253489090326, -2.2646996592843904, -2.314167249068844, -2.360166429354856, -2.402225976556113, -2.439906171882425, -2.4728112186193636, -2.500600358506024, -2.5229969884478045, -2.539795265801364, -2.550863907621482, -2.55614711087816, -2.555662730900768, -2.5494980405148744, -2.5378035362717277, -2.5207853447026176, -2.498696801923368, -2.471829738304299, -2.4405059126638973, -2.405068930050398, -2.365876864919138, -2.323295712465692, -2.2776937125735883, -2.2294365346303793, -2.1788832748999223, -2.1263831971195746, -2.0722731372594194, -2.0168754912603895, -1.9604967072156207, -1.9034262088359788, -1.8459356837680494, -1.7882786775284198, -1.7306904409449655, -1.6733879857515717, -1.6165703092121513, -1.560418754291368, -1.505097476934526, -1.4507539964887992, -1.3975198092283732, -1.345511048377725, -1.294829177002016, -1.245561702690114, -1.1977829051310827, -1.151554569511772, -1.1069267201732385, -1.0639383501866466, -1.0226181434749957, -0.9829851868447469, -0.945049669832285, -0.908813570644925 ], [ -2.1547946004168, -2.2058423181498346, -2.2540502474426187, -2.2989478421389347, -2.3400815670753303, -2.3770270325296416, -2.409400713512207, -2.4368704917077277, -2.4591643663582032, -2.4760768540888964, -2.4874728011845155, -2.4932885379575844, -2.493530496126309, -2.4882715739787393, -2.477645658929905, -2.461840792689368, -2.4410914856858086, -2.415670658196461, -2.3858816177389586, -2.352050392425004, -2.3145186448001476, -2.2736373030359145, -2.229760973703218, -2.183243145353644, -2.1344321539487225, -2.083667857148701, -2.0312789513489746, -1.977580860043328, -1.9228741220262018, -1.8674432111547137, -1.811555724464216, -1.7554618814064775, -1.6993942832336058, -1.6435678876970437, -1.5881801600478642, -1.533411366694958, -1.4794249827529096, -1.4263681890815163, -1.374372438298384, -1.3235540726593555, -1.2740149796793703, -1.2258432739401388, -1.1791139957315964, -1.1338898190311455, -1.090221762867536, -1.0481499013725064, -1.0077040688220715, -0.9689045567393391, -0.9317628007024583, -0.8962820549050408 ], [ -2.0956770925794275, -2.14523471425304, -2.19209203301382, -2.235798617922348, -2.275919508568848, -2.312046566600935, -2.343809477498653, -2.3708856998650907, -2.3930087553118606, -2.4099744100694123, -2.4216444867216858, -2.427948233981431, -2.4288813561550797, -2.4245029501254822, -2.414930707577157, -2.4003348074113884, -2.3809309454206753, -2.3569729286163605, -2.3287452091351675, -2.2965556599586923, -2.260728814741719, -2.2215997175376283, -2.179508462116298, -2.1347954481366624, -2.0877973429888863, -2.0388437121686036, -1.9882542652627269, -1.9363366565433437, -1.883384776560947, -1.8296774721898568, -1.775477635929645, -1.7210316099141671, -1.666568855341007, -1.6123018434578429, -1.5584261295459325, -1.5051205763559383, -1.4525476980881136, -1.4008541002252517, -1.3501709943128457, -1.3006147701434312, -1.252287610758796, -1.2052781382560256, -1.159662080596024, -1.1155029514912997, -1.0728527370182954, -1.0317525838856398, -0.9922334853189494, -0.9543169613246301, -0.9180157306974948, -0.8833343725715403 ], [ -2.035317834783508, -2.0833100375885056, -2.128740718486327, -2.171180090449311, -2.2102123775830433, -2.2454463798219626, -2.2765257490028734, -2.303138334519153, -2.3250240395453665, -2.341980769831337, -2.3538682264745567, -2.36060946629164, -2.3621903106785163, -2.3586568150352605, -2.350111108914085, -2.3367059779090953, -2.318638581074374, -2.2961436854596813, -2.2694867592181147, -2.238957206276847, -2.2048619589168537, -2.167519578553458, -2.1272549557879588, -2.084394651857181, -2.0392628860015947, -1.992178146399968, -1.9434503846487345, -1.8933787434232314, -1.8422497621089353, -1.7903360042340672, -1.7378950521835166, -1.685168817949298, -1.63238312286455, -1.5797475038821434, -1.5274552086634245, -1.4756833463252645, -1.424593165024675, -1.3743304315675513, -1.3250258918752271, -1.276795794418614, -1.2297424616363188, -1.1839548969026645, -1.1395094168196183, -1.096470300492876, -1.0548904490385522, -1.0148120498755238, -0.9762672414151251, -0.939278774590282, -0.9038606682991173, -0.8700188563025086 ], [ -1.9741133057502538, -2.020480315997382, -2.0644226811396917, -2.1055315166790844, -2.1434105897490583, -2.1776861055433274, -2.208016260076009, -2.234099978536199, -2.2556843285036616, -2.2725702207886296, -2.284616161485086, -2.291739973520429, -2.29391854766677, -2.2911858010886412, -2.283629109985333, -2.2713845388682525, -2.2546312124570282, -2.2335851699889613, -2.2084930115508294, -2.179625599350189, -2.1472720216445884, -2.1117339705192304, -2.0733206322907876, -2.0323441443968955, -1.989115636687705, -1.943941848098334, -1.8971222908603, -1.8489469223644561, -1.7996942780621805, -1.7496300160282512, -1.6990058238499168, -1.648058640426279, -1.597010148354629, -1.5460664963294102, -1.4954182150205786, -1.4452402939830402, -1.3956923911146157, -1.3469191499244992, -1.2990506033380407, -1.252202645915014, -1.206477559185574, -1.1619645773098233, -1.1187404824513831, -1.0768702211354189, -1.0364075344533692, -0.9973955963005567, -0.9598676549100633, -0.9238476738021639, -0.8893509689292007, -0.8563848392893008 ], [ -1.912435068771833, -1.9571316990810195, -1.999537665394348, -2.0392650095415665, -2.075937176147437, -2.1091980400213286, -2.138720747624408, -2.164215851737231, -2.185438276414336, -2.202192755609957, -2.2143375211590888, -2.2217861532050565, -2.2245076330491784, -2.222524744791226, -2.2159110525177885, -2.2047867318939445, -2.1893135591166857, -2.1696893589009454, -2.146142191086978, -2.1189245185240932, -2.0883075534776436, -2.0545759318025807, -2.018022818212715, -1.9789455053185483, -1.9376415353887078, -1.894405347468803, -1.8495254331716344, -1.8032819712415307, -1.755944902792415, -1.70777240481367, -1.6590097181253673, -1.6098882865990995, -1.5606251664684478, -1.5114226674165807, -1.4624681904664285, -1.4139342312380876, -1.3659785206887267, -1.3187442788857184, -1.2723605606015715, -1.2269426745100371, -1.182592660478642, -1.1393998118818742, -1.0974412319992388, -1.0567824154193994, -1.0174778469568433, -0.9795716119158333, -0.9430980126277761, -0.9080821870634981, -0.8745407260068412, -0.8424822857963956 ], [ -1.8506266937483375, -1.8936212584629093, -1.934455456661745, -1.9727620806607002, -2.008184191110551, -2.0403834133212126, -2.0690480879144095, -2.093900812379932, -2.114704957161994, -2.131269829950212, -2.143454276318642, -2.1511686255961466, -2.154375003716146, -2.153086130461176, -2.1473627917951346, -2.1373102267877053, -2.12307369328787, -2.104833479228831, -2.082799611010855, -2.0572064815917015, -2.028307583856453, -1.9963704943750722, -1.9616722127927022, -1.9244949257242983, -1.8851222328774895, -1.8438358479326562, -1.8009127674338432, -1.7566228870589853, -1.7112270353542165, -1.6649753894594868, -1.6181062346795496, -1.5708450292174074, -1.5234037363635573, -1.4759803884246985, -1.428758849296309, -1.3819087455479715, -1.3355855389898565, -1.2899307167770533, -1.2450720780839961, -1.2011240991777, -1.1581883612942563, -1.1163540280534292, -1.0756983612209012, -1.0362872654441064, -0.9981758541518437, -0.9614090301299387, -0.9260220753814778, -0.8920412457688631, -0.8594843666391723, -0.828361426178079 ], [ -1.7890019607643572, -1.8302751264695758, -1.8695139397214418, -1.906371601634808, -1.9405105597513168, -1.9716101080300958, -1.9993738742049234, -2.0235367851298895, -2.0438711382462142, -2.0601914825119247, -2.0723581099533175, -2.0802790640086988, -2.0839106704973234, -2.0832566827551218, -2.0783661992780873, -2.069330558043301, -2.0562794366726043, -2.039376393581238, -2.018814075281704, -1.9948092929644385, -1.9675981415328188, -1.9374313004275463, -1.9045696212509948, -1.86928007498812, -1.8318321032176037, -1.7924943939950575, -1.7515320842902076, -1.7092043767264649, -1.6657625483769434, -1.6214483228552616, -1.576492573218799, -1.5311143216358714, -1.4855200017973813, -1.4399029512113701, -1.3944431024328976, -1.349306844661691, -1.3046470297674673, -1.2606030995164894, -1.2173013134572295, -1.1748550594965421, -1.1333652316066418, -1.0929206613115556, -1.053598591590073, -1.0154651835908575, -0.9785760480837511, -0.9429767948754275, -0.9087035945088606, -0.8757837474609231, -0.8442362567698172, -0.8140724005871889 ], [ -1.7278441349934333, -1.767387750559462, -1.8050183107044577, -1.8404089493060118, -1.8732411316288078, -1.903211597496012, -1.930039218316502, -1.9534714085088534, -1.9732897613025788, -1.9893146409551834, -2.001408546099336, -2.009478149399714, -2.0134750060429147, -2.0133949999852523, -2.009276657622365, -2.001198501500292, -1.9892756417457584, -1.973655811441024, -1.9545150466701244, -1.9320531955589546, -1.9064894167409059, -1.8780577996212007, -1.8470032094984923, -1.8135774323333806, -1.778035668343214, -1.7406334016022424, -1.7016236548272519, -1.661254624498471, -1.619767681089988, -1.5773957119890465, -1.5343617801343536, -1.490878068966646, -1.4471450834727824, -1.4033510774938796, -1.3596716787065954, -1.3162696844911423, -1.2732950040484525, -1.2308847244525205, -1.1891632806961578, -1.1482427121169696, -1.1082229898095672, -1.069192401695694, -1.0312279838067235, -0.9943959880169561, -0.9587523779444316, -0.9243433460095991, -0.8912058457189893, -0.8593681341332249, -0.8288503202032409, -0.7996649152355577 ], [ -1.6674060898669278, -1.7052220291487408, -1.741241200892274, -1.7751560899459506, -1.8066666963681495, -1.8354868642249635, -1.861350545054662, -1.8840176819063406, -1.9032794226675076, -1.9189624220974846, -1.9309320612109568, -1.93909448992052, -1.9433974748288094, -1.9438301017653556, -1.940421437647908, -1.9332382963299048, -1.9223822778967654, -1.9079862613697234, -1.8902105289004505, -1.869238687826644, -1.8452735382065235, -1.8185330104221025, -1.789246272616501, -1.7576500831393786, -1.723985440313825, -1.6884945616762168, -1.6514182078738666, -1.612993352757563, -1.5734511907299282, -1.5330154647912422, -1.4919010935573822, -1.4503130723817654, -1.4084456221789678, -1.3664815592486452, -1.3245918600101014, -1.2829353958114758, -1.241658814655174, -1.2008965486104723, -1.1607709277330585, -1.1213923833788448, -1.0828597258122987, -1.045260482914315, -1.0086712885555533, -0.9731583107950235, -0.938777711478189, -0.9055761300402647, -0.8735911853723619, -0.8428519904892713, -0.8133796754622973, -0.7851879146656782 ], [ -1.6079110675656478, -1.6440101083584024, -1.6784234852252355, -1.7108623717887435, -1.7410447304686902, -1.7687010706613082, -1.7935801576511148, -1.8154543988298295, -1.834124651286483, -1.8494242359428947, -1.8612220009326166, -1.8694243424168686, -1.8739761566650044, -1.8748607568504079, -1.8720988375077168, -1.865746606761187, -1.8558932306525167, -1.8426577457734699, -1.8261855974153098, -1.8066449526036863, -1.7842229229794018, -1.7591218138106643, -1.7315554945913902, -1.7017459654712024, -1.6699201735466573, -1.636307114766417, -1.601135241422463, -1.564630182145311, -1.5270127709765444, -1.4884973742697436, -1.4492904985830282, -1.4095896590381058, -1.36958248548925, -1.3294460429483403, -1.2893463427583525, -1.2494380217479861, -1.20986416782593, -1.1707562720149856, -1.1322342886486756, -1.0944067872516743, -1.0573711814195557, -1.0212140217445096, -0.9860113414586616, -0.9518290449572088, -0.918723330701938, -0.8867411411838662, -0.8559206336409073, -0.8262916660883235, -0.7978762939370496, -0.7706892730621324 ], [ -1.5495538931518038, -1.5839546483573543, -1.6167755783574909, -1.6477458249457393, -1.6766006727511589, -1.7030867805361798, -1.7269673754440706, -1.7480271728170904, -1.7660767975174911, -1.7809565158351734, -1.7925391345806665, -1.8007319791311676, -1.8054779185319831, -1.8067554579354013, -1.8045779629358847, -1.7989921145644603, -1.790075717039962, -1.7779349931245882, -1.7627015051699209, -1.7445288352524666, -1.7235891470362377, -1.7000697370713584, -1.6741696659316228, -1.6460965414619297, -1.616063508686956, -1.5842864845291347, -1.5509816609771765, -1.5163632880389033, -1.4806417377817922, -1.4440218429283607, -1.4067014976392016, -1.368870504034422, -1.3307096453988572, -1.292389965616044, -1.2540722339258679, -1.2159065743750617, -1.178032240133179, -1.1405775140160275, -1.10365971796065, -1.0673853157236461, -1.031850094644464, -0.9971394138635719, -0.9633285078643563, -0.9304828355840196, -0.8986584665906836, -0.8679024969385343, -0.8382534882865518, -0.809741924700486, -0.78239068226077, -0.7562155071821013 ], [ -1.4925024918972412, -1.5252304029648385, -1.5564790568951532, -1.5859948033639757, -1.613529560403869, -1.6388455615232487, -1.6617200749444314, -1.6819498892490836, -1.6993553697991008, -1.713783916942595, -1.7251126960919583, -1.7332505559960985, -1.738139099613287, -1.7397529173880772, -1.7380990320929097, -1.7332156356311512, -1.725170220392426, -1.71405722093108, -1.6999952866425756, -1.6831243039586052, -1.6636022788540132, -1.6416021787300954, -1.6173088185213202, -1.5909158605109526, -1.562622981944597, -1.5326332499440256, -1.5011507300281313, -1.4683783430884327, -1.4345159760903718, -1.3997588440746953, -1.3642960951045144, -1.3283096454651555, -1.2919732294621484, -1.2554516463544363, -1.2189001860868904, -1.1824642153478147, -1.1462789058950142, -1.1104690879144654, -1.0751492122695705, -1.0404234067609401, -1.0063856128613673, -0.9731197907514534, -0.940700181807725, -0.9091916189493874, -0.8786498764067565, -0.8491220515172819, -0.8206469720770853, -0.7932556235749508, -0.7669715913176431, -0.7418115130281897 ], [ -1.4368995921318015, -1.4679859904251167, -1.4976884815313734, -1.5257698386887086, -1.5519978921847462, -1.576149833241838, -1.5980164968225532, -1.617406445275116, -1.6341496823489448, -1.64810084848353, -1.6591417803198802, -1.6671833559821274, -1.6721665885284964, -1.6740629692570963, -1.672874097322235, -1.6686306604234937, -1.6613908521854217, -1.6512383250820297, -1.6382797838424288, -1.6226423241106356, -1.6044706158991977, -1.5839240223575146, -1.5611737328423427, -1.53639997638737, -1.5097893684059307, -1.4815324306034672, -1.4518213121885744, -1.4208477299198237, -1.3888011355039402, -1.3558671114250802, -1.3222259903887723, -1.2880516890904568, -1.2535107438087727, -1.2187615331990094, -1.1839536724401174, -1.1492275623947386, -1.1147140775156772, -1.0805343767326006, -1.04679982235744, -1.0136119930531748, -0.9810627780345667, -0.9492345408428027, -0.9182003422064626, -0.8880242126284041, -0.8587614663937584, -0.830459049658828, -0.8031559161438999, -0.7768834247105592, -0.7516657537584495, -0.7275203279334326 ], [ -1.3828645247574836, -1.4123457632773866, -1.4405333236104438, -1.4672056070844315, -1.4921456164260034, -1.5151448551260094, -1.5360072107140972, -1.5545526678513135, -1.5706207028892119, -1.5840732286864314, -1.5947969847117143, -1.6027052995977418, -1.6077391878877116, -1.6098677765580476, -1.6090880874452582, -1.605424227169808, -1.598926055531693, -1.5896674163429922, -1.577744021511002, -1.5632710805461698, -1.5463807644561762, -1.5272195862406424, -1.5059457709789719, -1.4827266777969543, -1.4577363246720574, -1.4311530557994148, -1.403157380626709, -1.3739300040475404, -1.3436500588423024, -1.3124935443734433, -1.2806319697811812, -1.2482311954210314, -1.2154504629232281, -1.1824416018983581, -1.1493483998142815, -1.1163061207774123, -1.0834411587263526, -1.0508708107589406, -1.0187031568519584, -0.9870370329984489, -0.9559620856988841, -0.9255588967323454, -0.8958991681484256, -0.8670459584185828, -0.839053961635942, -0.8119698225340206, -0.785832480893899, -0.7606735396199833, -0.7365176513856593, -0.7133829192861658 ], [ -1.330495054222403, -1.3584117098136401, -1.3851199259673588, -1.4104129359072828, -1.4340881675740347, -1.4559507746805223, -1.4758171552961756, -1.4935183246213322, -1.508903012945534, -1.5218403735450075, -1.5322222067475222, -1.5399646331012447, -1.5450091777693906, -1.5473232573107192, -1.5469000867045546, -1.5437580472340064, -1.5379395736743486, -1.5295096317455743, -1.5185538640628753, -1.5051764853060619, -1.489498005724318, -1.4716528572286718, -1.4517869890739412, -1.4300554913366317, -1.406620294809065, -1.3816479861887903, -1.3553077680454084, -1.3277695843590618, -1.299202424684332, -1.269772813330014, -1.23964348440149, -1.208972239102256, -1.1779109782628834, -1.1466049005562078, -1.1151918551481232, -1.0838018365002815, -1.0525566085618534, -1.0215694455487094, -0.9909449768061098, -0.9607791237944242, -0.9311591179484691, -0.9021635889742052, -0.8738627140089048, -0.8463184189396498, -0.8195846240188023, -0.7937075267100335, -0.7687259154298385, -0.7446715085082725, -0.7215693132763801, -0.6994380006979521 ], [ -1.2798691943143603, -1.3062653388829495, -1.3315334478048277, -1.3554807976043564, -1.3779184959148236, -1.3986646778097924, -1.417547692257854, -1.4344091632738285, -1.4491068136157512, -1.461516949946366, -1.471536525957982, -1.4790847221396544, -1.4841040054504147, -1.4865606570021086, -1.4864447790911097, -1.4837698131308044, -1.4785716163000775, -1.4709071565876934, -1.460852893341463, -1.4485029137116197, -1.4339668950279356, -1.4173679598247864, -1.3988404846427573, -1.3785279165965596, -1.3565806436595198, -1.3331539562391925, -1.3084061293658462, -1.2824966470349033, -1.255584583178924, -1.2278271475441755, -1.199378399479905, -1.1703881283231117, -1.1410008956370823, -1.1113552319668827, -1.0815829789174816, -1.051808766138991, -1.0221496121155167, -0.9927146373990571, -0.9636048790152419, -0.9349131951098335, -0.9067242494302057, -0.8791145658828023, -0.852152644122987, -0.8258991278766965, -0.8004070184304386, -0.775721926433844, -0.7518823558198191, -0.7289200142514569, -0.7068601450472263, -0.685721876016449 ], [ -1.2310469763033427, -1.2559695144947476, -1.279839758605458, -1.3024782539879922, -1.3237090514042382, -1.3433625995834828, -1.3612786297385986, -1.3773089320512208, -1.3913199266235066, -1.4031949403208777, -1.4128361153410929, -1.4201658937626562, -1.4251280430098583, -1.427688208369671, -1.427833998844613, -1.4255746304863903, -1.4209401660720646, -1.4139804010892596, -1.4047634533682585, -1.3933741174998775, -1.3799120457811824, -1.3644898153459724, -1.3472309369408126, -1.3282678550907459, -1.3077399827202596, -1.285791806151519, -1.2625710892095494, -1.238227198250922, -1.2129095635390974, -1.1867662866749829, -1.1599428988448532, -1.1325812705001672, -1.1048186697224487, -1.0767869639038135, -1.0486119574232136, -1.020412856638794, -0.9923018526622108, -0.96438381194529, -0.9367560646109585, -0.9095082806234052, -0.8827224242489897, -0.8564727777514982, -0.8308260258421936, -0.8058413930268851, -0.7815708266254198, -0.7580592188595237, -0.7353446619945445, -0.7134587310677829, -0.6924267892346285, -0.6722683112111931 ], [ -1.1840721475797704, -1.2075702176800953, -1.2300872575178214, -1.2514563259433182, -1.2715136949115187, -1.2901014666470432, -1.3070701840435934, -1.3222813476058448, -1.3356097541381426, -1.3469455796074703, -1.3561961404414478, -1.3632872828247233, -1.3681643669493622, -1.3707928312340072, -1.371158338947529, -1.3692665253848828, -1.3651423769713065, -1.358829283950571, -1.350387815468984, -1.3398942699679766, -1.327439055103258, -1.31312495030514, -1.297065302045171, -1.2793821973656359, -1.2602046557361883, -1.2396668732582241, -1.217906547015954, -1.195063301276881, -1.1712772315046154, -1.1466875769271545, -1.1214315278042846, -1.0956431696086542, -1.0694525630824785, -1.042984956531524, -1.0163601247220555, -0.9896918272927884, -0.9630873786125755, -0.936647320432731, -0.9104651884290058, -0.884627363735244, -0.8592130007764402, -0.834294023059845, -0.8099351790308209, -0.7861941506071481, -0.7631217075389063, -0.7407619012762068, -0.7191522925458242, -0.6983242073272307, -0.6783030163712018, -0.6591084338166562 ], [ -1.1389737867923801, -1.1610982212124277, -1.1823086031365637, -1.2024497724953815, -1.2213695194742273, -1.2389209522093525, -1.2549648585876296, -1.2693719869106268, -1.2820251716388067, -1.2928212362975446, -1.301672615365654, -1.3085086496947413, -1.3132765246318985, -1.3159418353861376, -1.3164887792065418, -1.3149199877104412, -1.311256024521709, -1.3055345828073996, -1.297809424128554, -1.288149104250182, -1.2766355333549537, -1.2633624177643825, -1.248433628155483, -1.2319615357686478, -1.21406535363362, -1.19486951476932, -1.1745021139700293, -1.1530934344523702, -1.1307745755229466, -1.1076761926962955, -1.083927357455255, -1.0596545401618394, -1.0349807165193683, -1.0100245954478355, -0.9848999642340486, -0.959715145309576, -0.93457255793744, -0.9095683773923351, -0.8847922838371856, -0.8603272929727133, -0.8362496606100329, -0.8126288535404176, -0.7895275794067118, -0.767001868680995, -0.7451012022918613, -0.7238686788980264, -0.7033412162541901, -0.6835497815470806, -0.6645196459857536, -0.6462706593060206 ], [ -1.095767827247378, -1.1165706687536012, -1.136522344818487, -1.1554787696915785, -1.1732985710431894, -1.1898452318024553, -1.2049892266749098, -1.218610087967933, -1.230598336477063, -1.2408572179696145, -1.2493041938380696, -1.255872145097576, -1.2605102612040229, -1.2631845982392274, -1.2638783039499213, -1.2625915191593333, -1.259340975582771, -1.254159318658496, -1.2470941904296549, -1.2382071117384283, -1.2275722051197129, -1.2152748000195115, -1.201409960597367, -1.1860809737252684, -1.1693978312021125, -1.151475735982548, -1.1324336576630394, -1.112392957825064, -1.09147610130912, -1.0698054652386455, -1.0475022537402268, -1.024685522884805, -1.0014713174382346, -0.9779719185635419, -0.9542951996461423, -0.9305440858834277, -0.9068161121495015, -0.8832030728642077, -0.8597907571118624, -0.8366587620174553, -0.8138803773477594, -0.7915225344170314, -0.7696458126011245, -0.7483044970660844, -0.7275466816677523, -0.7074144113546401, -0.6879438587886464, -0.6691655302738413, -0.6511044964432937, -0.6337806434921416 ], [ -1.0544584845105032, -1.0739925543181867, -1.0927344511948855, -1.1105504845102696, -1.1273094632321212, -1.1428846333627032, -1.1571556104220848, -1.1700102501142862, -1.1813464011893848, -1.191073488432286, -1.1991138803589325, -1.2054040050479748, -1.2098951878933302, -1.2125541961771233, -1.2133634864919074, -1.212321161527605, -1.2094406520495835, -1.2047501476497104, -1.1982918058301246, -1.1901207731029784, -1.1803040541093246, -1.1689192654244542, -1.1560533099439736, -1.1418010057941417, -1.1262637008575276, -1.1095479005235942, -1.0917639324157404, -1.0730246678343476, -1.053444315675447, -1.0331373007839146, -1.0122172351871748, -0.9907959875040213, -0.9689828530748651, -0.946883825030469, -0.9246009646010709, -0.902231867445378, -0.8798692216170261, -0.8576004519457887, -0.8355074450485171, -0.8136663488569194, -0.7921474404132018, -0.771015055699434, -0.7503275753970853, -0.7301374606864872, -0.7104913334655429, -0.6914300956701303, -0.67298908269748, -0.6551982462551282, -0.6380823622721121, -0.6216612598098821 ], [ -1.0150395871543632, -1.0333581010521353, -1.050939734782332, -1.067660542426498, -1.083398884225184, -1.0980371790787222, -1.1114636523168384, -1.123574029214601, -1.1342731254237837, -1.1434762887119614, -1.151110651921702, -1.1571161644605066, -1.1614463783626978, -1.1640689744168915, -1.1649660234176196, -1.1641339867213034, -1.1615834685049418, -1.157338739097725, -1.1514370542656307, -1.143927799282102, -1.1348714890278138, -1.124338656328654, -1.1124086604288503, -1.099168446111254, -1.0847112817464586, -1.0691355017059556, -1.0525432753303, -1.0350394211978244, -1.016730281961225, -0.9977226716453623, -0.9781229041350312, -0.9580359087005929, -0.9375644358595792, -0.9168083546763772, -0.895864040763962, -0.8748238527595678, -0.8537756938770849, -0.8328026542625235, -0.8119827292597384, -0.791388608295041, -0.7710875288737893, -0.7511411901149494, -0.7316057202977759, -0.7125316930294852, -0.6939641868388058, -0.6759428832365595, -0.6585021985438642, -0.6416714450582264, -0.6254750173976162, -0.6099326001266367 ], [ -0.9774958117151226, -0.9946520405123409, -1.0111231738827444, -1.026794389685509, -1.0415529965819674, -1.0552900192396382, -1.0679017789278427, -1.0792914263249371, -1.0893703839089783, -1.098059657968048, -1.1052909848635328, -1.1110077823804625, -1.1151658843683592, -1.1177340449199946, -1.1186942065520782, -1.118041534774888, -1.1157842286709265, -1.1119431233406536, -1.1065511051125514, -1.0996523641511518, -1.0913015115176643, -1.0815625889063485, -1.0705079993180109, -1.0582173860020736, -1.04477648528495, -1.0302759765977747, -1.0148103503074086, -0.9984768110133678, -0.9813742309511895, -0.9636021651649842, -0.9452599372791071, -0.9264458020834809, -0.9072561887996375, -0.8877850268427008, -0.8681231541489949, -0.8483578066953932, -0.8285721866799423, -0.8088451059404822, -0.7892507005310472, -0.7698582119238155, -0.7507318300257726, -0.7319305930633833, -0.7135083393665964, -0.6955137061490377, -0.677990170511684, -0.6609761280727879, -0.6445050048314991, -0.628605398093677, -0.6133012425162991, -0.5986119975549122 ], [ -0.9418038243904825, -0.9578507951453797, -0.9732611345425218, -0.9879285530076723, -1.0017487324763346, -1.0146207602699753, -1.026448558421802, -1.0371422707579945, -1.0466195704865777, -1.0548068532593664, -1.0616402845135884, -1.067066675109596, -1.0710441655116667, -1.0735427056094229, -1.0745443243354336, -1.0740431901088563, -1.0720454694865156, -1.068568996962199, -1.0636427734338625, -1.057306314349908, -1.049608870919697, -1.0406085490654924, -1.0303713510911943, -1.018970164473663, -1.0064837208943742, -0.9929955467822846, -0.9785929243927498, -0.9633658799509768, -0.9474062127768148, -0.9308065766943814, -0.913659622508348, -0.8960572079696731, -0.8780896795072408, -0.8598452281001536, -0.8414093200229602, -0.8228642018153662, -0.8042884776994774, -0.7857567567753208, -0.7673393666469248, -0.7491021296416216, -0.7311061974578601, -0.7134079398852156, -0.6960588831591863, -0.6791056935195123, -0.6625902016132268, -0.6465494635048319, -0.6310158542105757, -0.6160171898500424, -0.6015768746965409, -0.5877140696016165 ], [ -0.9079333329927977, -0.9229235676710259, -0.9373224963917661, -0.9510318005655846, -0.9639549881135049, -0.9759986904637171, -0.9870739550161163, -0.9970975001315037, -1.0059929000687566, -1.0136916691407822, -1.020134217580611, -1.0252706559975364, -1.0290614305799846, -1.031477777042276, -1.0325019873759829, -1.0321274894269, -1.0303587448857234, -1.0272109762189718, -1.022709737204556, -1.0168903449688054, -1.0097971937073886, -1.0014829716267932, -0.9920078031275682, -0.9814383379624567, -0.9698468081610173, -0.9573100720500314, -0.9439086628499478, -0.9297258572214075, -0.9148467768903996, -0.899357534198816, -0.8833444301948274, -0.8668932117615769, -0.8500883923330687, -0.8330126389958858, -0.8157462272429887, -0.7983665633376644, -0.7809477731580945, -0.7635603555146291, -0.7462708972459087, -0.7291418468865938, -0.7122313433360961, -0.6955930957222496, -0.679276310524308, -0.6633256619752579, -0.647781301785906, -0.6326789043062568, -0.6180497433492975, -0.6039207970375247, -0.5903148771841187, -0.57725077988213 ], [ -0.8758480532935071, -0.889833341710758, -0.9032696868459942, -0.9160662087797973, -0.9281337218406058, -0.9393859077891367, -0.9497404844674048, -0.95912034108909, -0.9674546116537713, -0.9746796595173122, -0.9807399488606389, -0.9855887825051449, -0.9891888900008176, -0.9915128548980129, -0.9925433753254805, -0.9922733571624966, -0.9907058439656982, -0.9878537921858283, -0.9837397039320139, -0.9783951325105678, -0.9718600781344848, -0.9641822925698559, -0.9554165120972883, -0.9456236380940488, -0.9348698838808864, -0.9232259053348726, -0.9107659312591914, -0.8975669077336124, -0.8837076687483951, -0.8692681434418206, -0.8543286082947394, -0.8389689907481768, -0.8232682289490438, -0.8073036907288038, -0.7911506535006023, -0.7748818455318387, -0.7585670480115239, -0.7422727564783222, -0.7260618994935102, -0.7099936119175172, -0.6941230597608925, -0.6785013133119926, -0.6631752650750444, -0.648187588966264, -0.6335767371953354, -0.6193769712906922, -0.6056184237968525, -0.5923271872701537, -0.579525427317189, -0.5672315165516197 ], [ -0.8455065942526787, -0.8585377983616369, -0.8710596285272447, -0.8829881398827368, -0.8942409609144615, -0.904738354649486, -0.9144042752959951, -0.9231673950908958, -0.9309620763679685, -0.9377292651669278, -0.943417284991491, -0.9479825124630394, -0.9513899204235615, -0.9536134783018121, -0.9546364040386155, -0.9544512663429525, -0.9530599403103414, -0.9504734233017663, -0.9467115213168802, -0.9418024188055654, -0.9357821468971772, -0.9286939663778473, -0.9205876824390895, -0.9115189083103881, -0.9015482944496365, -0.8907407390867228, -0.8791645946916775, -0.8668908834644142, -0.8539925333076106, -0.8405436440293703, -0.8266187917978016, -0.8122923781939877, -0.7976380286279583, -0.7827280434277051, -0.767632903605503, -0.7524208321606578, -0.7371574107970613, -0.7219052511135782, -0.7067237186575646, -0.6916687077038548, -0.6767924642193273, -0.6621434541806837, -0.6477662742145671, -0.6337016014090626, -0.6199861790896783, -0.6066528353480174, -0.5937305311462766, -0.5812444348858326, -0.5692160204156607, -0.5576631855599581 ], [ -0.8168632667921185, -0.8289901535768922, -0.840644604927808, -0.8517491353835174, -0.8622277221044123, -0.8720067647457437, -0.8810160407725047, -0.8891896340810745, -0.8964668150158226, -0.9027928509762642, -0.9081197287489184, -0.9124067723626199, -0.9156211435097634, -0.9177382152219369, -0.9187418133458194, -0.9186243242433358, -0.9173866708613634, -0.9150381627275248, -0.9115962284076893, -0.9070860414214481, -0.9015400525035373, -0.8949974424065095, -0.8875035101774675, -0.8791090120492668, -0.8698694658233339, -0.8598444349587713, -0.8490968055995225, -0.8376920685481528, -0.8256976168089409, -0.8131820678459296, -0.8002146181959549, -0.786864436595728, -0.7732001003680686, -0.7592890784971562, -0.7451972636285655, -0.7309885541699508, -0.7167244867483051, -0.7024639184991015, -0.6882627580159231, -0.6741737432673567, -0.660246264379438, -0.6465262288739593, -0.6330559667322857, -0.619874172507481, -0.6070158816223554, -0.594512477955881, -0.5823917298252408, -0.5706778515069484, -0.5593915875006574, -0.5485503168177668 ], [ -0.7898688207962854, -0.801139921232296, -0.8119730493568029, -0.8222967305920967, -0.8320408513536777, -0.8411375272667116, -0.8495219668201861, -0.8571333110319839, -0.8639154298934206, -0.8698176573048964, -0.8747954478624598, -0.8788109411237253, -0.881833421750917, -0.8838396670536031, -0.8848141767766979, -0.8847492833400219, -0.8836451439847497, -0.8815096192869276, -0.8783580451516344, -0.8742129076252318, -0.869103431607781, -0.8630650957943733, -0.8561390869283902, -0.8483717067405563, -0.8398137448204392, -0.8305198301802099, -0.8205477734885558, -0.8099579109439003, -0.7988124595869881, -0.7871748925858724, -0.7751093417170587, -0.7626800329633323, -0.7499507598902373, -0.7369843982800688, -0.72384246441601, -0.7105847184341172, -0.6972688133040998, -0.6839499892631999, -0.6706808129076178, -0.657510959636642, -0.6444870377370444, -0.6316524520788991, -0.6190473051579006, -0.6067083330523477, -0.5946688737542032, -0.5829588652736353, -0.5716048708955985, -0.5606301289781759, -0.5500546247184475, -0.539895181367575 ], [ -0.7644711149536247, -0.7749336066749701, -0.7849902621226952, -0.7945751952768376, -0.8036237876507701, -0.8120734735830877, -0.8198645209741957, -0.8269407904016648, -0.8332504557219922, -0.8387466700733937, -0.8433881626003998, -0.8471397531577265, -0.8499727746200558, -0.8518653951068793, -0.8528028352964636, -0.8527774789167628, -0.8517888773365059, -0.8498436518232619, -0.8469552993935139, -0.8431439101812748, -0.8384358058511179, -0.8328631097559078, -0.8264632602901794, -0.8192784792360737, -0.8113552068757126, -0.8027435152978502, -0.7934965107118481, -0.7836697347550015, -0.7733205737974413, -0.7625076841661322, -0.751290440075369, -0.7397284099085417, -0.7278808653805835, -0.7158063270507309, -0.7035621486723045, -0.6912041419741655, -0.678786242675872, -0.6663602178483921, -0.653975414143463, -0.6416785459230796, -0.6295135219195298, -0.6175213087375764, -0.6057398292649667, -0.5942038938758485, -0.5829451621851405, -0.5719921330313953, -0.5613701603238661, -0.5511014923790032, -0.5412053323868402, -0.5316979176835348 ] ], "zauto": true, "zmax": 2.961310983191478, "zmin": -2.961310983191478 }, { "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": [ [ 0.22454473550484455, 0.21295313826424586, 0.20269175101890222, 0.19379219897382205, 0.18626031787253752, 0.18008578828219485, 0.17525591977943555, 0.17177060252999282, 0.1696545737994728, 0.16896335064241153, 0.16978043293979442, 0.17220544410886165, 0.17633537088727558, 0.18224331242551034, 0.18996016612716324, 0.19946372239454377, 0.2106769941129641, 0.22347460965991436, 0.23769418571312492, 0.2531493005849848, 0.2696415516133595, 0.2869703902505245, 0.3049404107960022, 0.3233663377292953, 0.34207617763881554, 0.3609130148698848, 0.37973585246193664, 0.39841980150608797, 0.4168558343675562, 0.434950249708776, 0.45262394918524046, 0.4698115929763889, 0.4864606796066997, 0.5025305812727089, 0.5179915565705718, 0.5328237563927164, 0.5470162347103374, 0.5605659732650246, 0.5734769274024617, 0.5857590990990666, 0.5974276424618108, 0.6085020064824128, 0.6190051194954479, 0.6289626195419544, 0.6384021346085175, 0.6473526164408996, 0.6558437312782955, 0.6639053103890942, 0.6715668626952751, 0.6788571510484301 ], [ 0.20633034368471667, 0.19445495712468228, 0.1840235082985753, 0.17506901609923792, 0.16758871225190028, 0.16155458464070543, 0.15693053233517282, 0.15369236893020927, 0.15184538038365103, 0.15143424528490818, 0.15254176458928617, 0.15527559895360407, 0.1597455962263173, 0.16603746337318265, 0.17419005764295808, 0.1841822426401851, 0.19593148357881232, 0.2093022375794245, 0.2241198446343491, 0.2401856070617983, 0.2572901624861263, 0.2752238961707997, 0.29378430367491826, 0.31278078699320305, 0.33203751851367114, 0.3513949460030286, 0.3707103812571614, 0.38985798629954965, 0.4087283691084736, 0.42722792838427526, 0.4452780383331878, 0.4628141330246178, 0.47978472987602927, 0.4961504191381664, 0.5118828381732436, 0.5269636441167804, 0.5413834951271308, 0.5551410482068326, 0.5682419801292109, 0.5806980370706752, 0.5925261179667993, 0.6037473962582369, 0.6143864844775161, 0.6244706459723702, 0.6340290579000427, 0.6430921294049788, 0.6516908785659997, 0.6598563712379365, 0.6676192243008187, 0.6750091750663954 ], [ 0.1889107182514986, 0.17674318404469408, 0.16614225401763727, 0.15714785365075365, 0.1497520152839546, 0.1439093528546029, 0.13955761604221914, 0.13664370858894706, 0.13514790776625601, 0.13509895597796245, 0.1365749614691533, 0.13968876930626087, 0.14456096608235455, 0.15128796102394473, 0.15991465371620187, 0.17041927035192042, 0.18271269490575323, 0.196649216939239, 0.21204297398964664, 0.2286848780153278, 0.24635692287480748, 0.26484282582707497, 0.28393522338184596, 0.30344014836827377, 0.32317956338879256, 0.342992584767043, 0.36273585431730027, 0.38228336656388634, 0.40152595059522833, 0.4203705333817104, 0.43873926529269786, 0.4565685598837921, 0.4738080823427414, 0.49041971002618134, 0.5063764816382123, 0.5216615472013856, 0.5362671281103163, 0.5501934946848225, 0.5634479674227159, 0.5760439473851342, 0.5879999806896721, 0.5993388618340775, 0.6100867804397944, 0.6202725159160322, 0.6299266844350006, 0.6390810424211284, 0.6477678504456533, 0.6560193009509717, 0.6638670125899496, 0.6713415931543791 ], [ 0.17248647553016463, 0.16001133178655724, 0.1492297408375584, 0.14019652247197228, 0.13290495452598491, 0.1272953566470566, 0.12327845871129312, 0.12076822224009334, 0.11971419102492198, 0.1201230523370175, 0.12206241696541321, 0.12564499979892255, 0.130997241392165, 0.1382218455955596, 0.1473661861746521, 0.15840568926673357, 0.17124430482915365, 0.18572756752763958, 0.20166112199342875, 0.2188288531859852, 0.23700755890888073, 0.2559774443308032, 0.27552896927079157, 0.29546696404980294, 0.31561286911776043, 0.3358057482173875, 0.35590252016934937, 0.3757776974915369, 0.3953228134403937, 0.4144456511373804, 0.4330693466427365, 0.4511314124745766, 0.46858271265066004, 0.4853864108159435, 0.5015169070094377, 0.5169587747295409, 0.5317057073825726, 0.545759481487585, 0.5591289428901834, 0.5718290215363856, 0.5838797799529855, 0.5953055003764295, 0.606133815384453, 0.6163948868367916, 0.6261206378540594, 0.6353440423964, 0.6440984766961667, 0.6524171363169367, 0.6603325219365057, 0.667875996084998 ], [ 0.15729444900911835, 0.14449402344307563, 0.13351038173725527, 0.12442349866609306, 0.11723815584506794, 0.11188762015973296, 0.10825804629928015, 0.10622827157268165, 0.10571168353862548, 0.10668564030337593, 0.10919897811146752, 0.1133555373490223, 0.11927907272345435, 0.1270712605919316, 0.13677698192184506, 0.14836699677023632, 0.16173950759600186, 0.17673474525777771, 0.1931544765000291, 0.21078036564758365, 0.22938838392286387, 0.2487588704865114, 0.2686829814914398, 0.2889665202397665, 0.30943200476219435, 0.32991959455157427, 0.3502872903333775, 0.3704106705545199, 0.39018232986417145, 0.409511123609213, 0.4283212851259891, 0.4465514600388552, 0.4641536879170668, 0.4810923529158993, 0.49734311936054765, 0.5128918644423005, 0.5277336176167945, 0.5418715145370675, 0.5553157721854074, 0.5680826911313306, 0.5801936904218954, 0.5916743804067591, 0.6025536787250284, 0.6128629746511959, 0.6226353469368785, 0.6319048401260964, 0.6407058040095699, 0.6490723003788814, 0.6570375805243429, 0.664633635991767 ], [ 0.14360850283255439, 0.13047396618859292, 0.11926430920030291, 0.11009574925323674, 0.10299865328019102, 0.09791201653328424, 0.09470506460602186, 0.09322264960907614, 0.09333749649042873, 0.09498901574274976, 0.0981958715584522, 0.10304023527722794, 0.10963085380993322, 0.11805871483990683, 0.12836091091192706, 0.14050303595773014, 0.15438090606883142, 0.16983501180064975, 0.18666941950571367, 0.2046692970477394, 0.22361455788389695, 0.24328938592455598, 0.263488392184695, 0.28402033876779054, 0.30471021539201043, 0.3254002328993158, 0.3459501100902886, 0.3662368964865162, 0.386154486322976, 0.4056129243748269, 0.4245375704075839, 0.4428681679967361, 0.46055785008684386, 0.47757210489937335, 0.493887719878992, 0.5094917172692963, 0.5243802920389626, 0.5385577608837913, 0.5520355296822946, 0.5648310859230062, 0.5769670221247203, 0.5884700960275886, 0.5993703332430506, 0.6097001780203047, 0.6194936977300315, 0.6287858465062728, 0.6376117931626636, 0.6460063179658136, 0.654003282083484, 0.6616351725290313 ], [ 0.13172994421746592, 0.11828001117038912, 0.10683493367072858, 0.09755559291148445, 0.0905137485763953, 0.08567266050614412, 0.08289929302234128, 0.08201083635823186, 0.08283670590771186, 0.08526856364652928, 0.08928052379101901, 0.0949170539114341, 0.10225742948720393, 0.11137194922778358, 0.12228587121536037, 0.1349610926619697, 0.14929619233484284, 0.1651386093267413, 0.18230131966170782, 0.2005786644636064, 0.21975896383800342, 0.23963357522077156, 0.2600029586370537, 0.280680513191564, 0.30149485107017443, 0.3222910042452773, 0.34293090612780625, 0.3632933777617057, 0.383273771968862, 0.4027833791919306, 0.4217486666914063, 0.44011040180838784, 0.4578226960405486, 0.4748519971257026, 0.49117604963707245, 0.506782839836793, 0.521669537141111, 0.5358414421614326, 0.5493109496551869, 0.5620965336688019, 0.5742217615357412, 0.585714343078078, 0.5966052212338896, 0.606927710286939, 0.6167166878109742, 0.6260078462722983, 0.6348370098909455, 0.6432395217931486, 0.6512497056697848, 0.6589004050869932 ], [ 0.12195956990298093, 0.10826459761975417, 0.09661679311497687, 0.08722206176709539, 0.08020526087942864, 0.0755747520561247, 0.07321685013024877, 0.07293442187131649, 0.07451481915461389, 0.07779299520162236, 0.08268384711148519, 0.089178436638259, 0.09731365730487829, 0.10713138333134006, 0.11864298754476299, 0.1318091424930624, 0.14653623229887364, 0.16268446215852617, 0.18008115218361695, 0.1985343483374541, 0.2178443089026901, 0.23781220450200777, 0.25824626500199643, 0.2789658973704302, 0.2998042969560722, 0.32060997462984847, 0.3412475125219904, 0.3615977713488349, 0.3815577066280004, 0.40103990519019667, 0.4199719218065299, 0.4382954739315355, 0.4559655372983219, 0.47294937425851696, 0.48922551895664823, 0.5047827377797669, 0.5196189794494367, 0.533740326232647, 0.5471599557619027, 0.559897121659605, 0.5719761603841867, 0.5834255313041204, 0.5942768968251071, 0.6045642493207238, 0.6143230915354417, 0.6235896769435451, 0.6324003161792084, 0.6407907550458287, 0.6487956287371792, 0.6564479957580098 ], [ 0.1145459642634013, 0.10074741320304761, 0.08900149441723804, 0.07954702452918078, 0.07256062928925752, 0.06810921445684617, 0.06612148555409558, 0.06640666145074865, 0.06871956980137403, 0.07283667753706444, 0.07860554469332921, 0.08595440425276869, 0.09487014359493112, 0.10536166673209069, 0.11742499911035413, 0.13102048067861422, 0.1460645929253478, 0.16243317909037897, 0.17997080733371015, 0.19850186865269884, 0.21784081488322432, 0.2378004803029903, 0.2581983397401828, 0.2788609567057003, 0.2996269843484543, 0.3203490616416889, 0.34089488536737067, 0.36114767389334174, 0.3810061845127498, 0.4003844043202542, 0.41921100353643537, 0.43742861740107636, 0.45499300605989024, 0.4718721296043035, 0.48804516639472667, 0.5035014961643652, 0.5182396645709996, 0.5322663424132481, 0.5455952903385122, 0.5582463382946323, 0.5702443880122391, 0.5816184462739655, 0.5924006964730508, 0.6026256158454295, 0.6123291456493342, 0.6215479213552195, 0.6303185695081136, 0.6386770772717667, 0.6466582397258568, 0.654295188761911 ], [ 0.10961724254927917, 0.09592523691458994, 0.08426800120182405, 0.07489414799542099, 0.06801218542806087, 0.06374126618200389, 0.06206480866940976, 0.06282246546679915, 0.06575972981411636, 0.07060954219615692, 0.07715888357311051, 0.0852745110839042, 0.09489167776658711, 0.10598329342635385, 0.11852669107447594, 0.1324789690549171, 0.1477646842126497, 0.16427431770274192, 0.18186959003762232, 0.2003917957366311, 0.21967052195288458, 0.23953136695872457, 0.25980215286706887, 0.28031761025957674, 0.3009227222293464, 0.32147497410697573, 0.3418457445465096, 0.3619210382129408, 0.38160172082268357, 0.4008033818954742, 0.419455921527582, 0.43750293463465467, 0.45490094849924845, 0.4716185560487116, 0.48763547716958044, 0.5029415728019766, 0.5175358309843973, 0.5314253399977984, 0.5446242609457993, 0.5571528102292, 0.5690362611975947, 0.580303973589025, 0.5909884590233682, 0.6011244906370905, 0.6107482647945746, 0.619896622562822, 0.6286063381940238, 0.6369134811547904, 0.6448528572342604, 0.6524575329526705 ], [ 0.10712419959537833, 0.09378203048282822, 0.08245114644730334, 0.07336390315383008, 0.06672856951000158, 0.06268934935220576, 0.061276961113867406, 0.062379840764366715, 0.06576823715944864, 0.07116515358254318, 0.07832034994148186, 0.08705090809004341, 0.09724336310720594, 0.10883194095173915, 0.12176974627111962, 0.1360043541899058, 0.1514627941677, 0.16804600234611689, 0.18563024981925444, 0.20407250403736166, 0.2232172630531209, 0.24290330229196033, 0.26296954330402794, 0.2832597642602224, 0.30362615407781013, 0.3239318408352916, 0.344052566377251, 0.3638776767789086, 0.3833105780153624, 0.40226878081885103, 0.42068363428802746, 0.43849982662513237, 0.45567471395125025, 0.47217752426572906, 0.48798847279514596, 0.5030978167004452, 0.51750487090379, 0.5312170022532791, 0.5442486160224022, 0.5566201465542121, 0.5683570624603487, 0.5794888959546272, 0.5900483054458294, 0.6000701802593215, 0.6095907961471235, 0.6186470299472893, 0.6272756412587077, 0.635512628230169, 0.643392663480996, 0.6509486147703184 ], [ 0.1068325666363945, 0.09406142972122962, 0.08328225269480033, 0.07469078677519475, 0.06846605013764023, 0.06474572347186561, 0.06358744513087969, 0.06493261279503934, 0.06860435845456192, 0.07435284359368112, 0.08192151187293595, 0.09109642505155102, 0.10172288114398324, 0.11369612764307352, 0.12694024155494876, 0.141386564685569, 0.15695785448804608, 0.1735598697035351, 0.19107939117675593, 0.20938659818211366, 0.22833973665627572, 0.24779052647134958, 0.2675893437807705, 0.28758968774331417, 0.3076517550376335, 0.3276451254550131, 0.34745064950733506, 0.3669616611075236, 0.3860846406557471, 0.40473944214586255, 0.4228591810990684, 0.4403898628157425, 0.4572898147084572, 0.47352897311024716, 0.4890880640532475, 0.5039577089001891, 0.5181374790902471, 0.5316349193158896, 0.5444645548768368, 0.5566468964858466, 0.5682074541798019, 0.5791757709926753, 0.5895844864686789, 0.5994684397470594, 0.608863821667475, 0.6178073849824929, 0.6263357212052555, 0.6344846117824762, 0.6422884601199182, 0.6497798094932811 ], [ 0.10837936665978792, 0.0963356905042341, 0.08626961546906323, 0.07833005592804566, 0.0726517737598699, 0.0693465341098591, 0.06847948565449462, 0.07003494665033388, 0.07389591897251441, 0.07986112426791941, 0.08769311386774073, 0.09716750882592355, 0.10810081278109646, 0.12035417222608867, 0.13382196329681176, 0.1484153022582369, 0.1640473250377748, 0.18062335635179189, 0.19803637483386902, 0.21616672724309044, 0.23488459045260396, 0.25405381181844644, 0.27353612300053715, 0.29319510255187853, 0.31289956418247106, 0.3325262515353694, 0.35196184155418925, 0.3711043210125878, 0.38986382610852005, 0.4081630390947334, 0.4259372291417418, 0.44313401328442237, 0.45971290088964256, 0.4756446733865763, 0.4909106408151715, 0.5055018083187198, 0.5194179790011755, 0.5326668144244551, 0.5452628702180531, 0.5572266215804099, 0.5685834916383239, 0.5793628944764935, 0.5895973039454354, 0.5993213589089686, 0.6085710152266482, 0.6173827543293653, 0.6257928576142441, 0.6338367549685232, 0.6415484544819688, 0.6489600588159522 ], [ 0.11136706688141026, 0.10013284137909416, 0.09086664554203462, 0.08367018417203134, 0.07863251858423882, 0.07583356570558558, 0.0753326895669413, 0.07713959656279304, 0.08118506021165935, 0.08731735987836213, 0.09533085013255592, 0.1050078164082251, 0.11615096830342947, 0.12859719832339941, 0.14221560176128248, 0.15689721895536293, 0.17254306724498586, 0.18905440971526483, 0.2063267810519871, 0.22424768505044454, 0.24269709920129037, 0.26154973395919784, 0.280678128559532, 0.2999559168092213, 0.3192608464779903, 0.3384773342387554, 0.3574984747230831, 0.3762275059866871, 0.3945787787082801, 0.4124782960244535, 0.4298638952199867, 0.44668513855390085, 0.4629029727564656, 0.4784892078173836, 0.4934258570478767, 0.5077043727510558, 0.5213248054560683, 0.5342949095982472, 0.5466292146665773, 0.5583480780324179, 0.5694767337302026, 0.5800443501816155, 0.5900831090392932, 0.5996273167815391, 0.6087125602371017, 0.6173749167013662, 0.6256502285932889, 0.6335734516021742, 0.6411780839328017, 0.6484956825676119 ], [ 0.11545065850701546, 0.10505004242498643, 0.09661569194000126, 0.09020794900353404, 0.08587547084552573, 0.0836665421197771, 0.0836254780958284, 0.08576907028479354, 0.09005606005202717, 0.09637277816596394, 0.10454641898567021, 0.1143763369353996, 0.12566503200947643, 0.13823703267156168, 0.15194409109446444, 0.1666609480030031, 0.1822770076911945, 0.19868794873308154, 0.21578944610508508, 0.23347367190067606, 0.25162831534222796, 0.27013745236626097, 0.2888835299161436, 0.30774984373173114, 0.3266230623064018, 0.3453955170384001, 0.36396711130721154, 0.3822467939513672, 0.40015360079114326, 0.417617300118751, 0.4345786928171937, 0.45098962160940936, 0.46681274163095643, 0.48202109920737735, 0.49659755935337435, 0.5105341162238854, 0.5238311151304516, 0.5364964100487253, 0.5485444768413813, 0.5599954996439768, 0.5708744458814395, 0.5812101440358451, 0.5910343773916944, 0.6003810063594894, 0.6092851314464057, 0.6177823083461776, 0.6259078258275976, 0.6336960560162685, 0.6411798852332415, 0.6483902317679514 ], [ 0.12038929267090465, 0.11081294172326032, 0.10321288804640057, 0.09761576451118527, 0.09403586289446111, 0.09249066049332405, 0.09300213218985554, 0.09557886642512384, 0.10018884800167031, 0.10674160885273039, 0.11509158403217894, 0.1250590614723405, 0.1364559004875829, 0.14910506179174618, 0.16284990449423314, 0.17755469917338002, 0.19309998929053623, 0.20937626847053795, 0.2262783092734568, 0.24370126895881716, 0.2615387956664379, 0.2796828395154468, 0.2980246658272858, 0.316456559120981, 0.3348737967169488, 0.35317659127938095, 0.3712718145307954, 0.38907440383841213, 0.40650841657463993, 0.4235077374928143, 0.4400164672799703, 0.4559890312910931, 0.47139005060431644, 0.48619401618926555, 0.5003848033612757, 0.5139550592248878, 0.5269054913447595, 0.5392440818882137, 0.5509852481729134, 0.5621489679741783, 0.5727598860460914, 0.5828464169736454, 0.5924398585497602, 0.6015735291956503, 0.6102819423494585, 0.6186000300826264, 0.6265624273362793, 0.634202827005039, 0.6415534145789343, 0.6486443891772089 ], [ 0.1260600009811658, 0.11728429548611323, 0.11050827371585595, 0.10573139370139507, 0.10293780174070732, 0.10211407830416573, 0.10325428986633803, 0.10634796490610873, 0.11135834111592262, 0.1182051670197234, 0.12676240331652647, 0.13687063109405018, 0.14835618544187176, 0.16104837794221089, 0.1747901040222848, 0.18944138075034678, 0.20487778851798516, 0.2209863841100639, 0.23766118647733636, 0.25479951986678034, 0.27229974764872106, 0.29006040793238347, 0.30798048023205254, 0.3259604144522786, 0.3439035684187547, 0.3617177690888494, 0.37931679605321295, 0.39662166240402624, 0.4135616285465815, 0.43007492761670174, 0.44610920904391, 0.4616217229383257, 0.47657927583183796, 0.4909579907640904, 0.5047429039619973, 0.5179274279616435, 0.5305127079838535, 0.5425068953272146, 0.5539243588333334, 0.5647848532633148, 0.5751126617277089, 0.584935728074578, 0.5942847942505279, 0.6031925569661506, 0.6116928573702474, 0.6198199167215247, 0.6276076301177737, 0.6350889291079037, 0.6422952224192722, 0.6492559220751646 ], [ 0.13244469254554958, 0.12444225174849441, 0.11847400587606417, 0.11451670151653992, 0.11252676182990705, 0.11245953666055086, 0.11427786229443881, 0.1179458874703165, 0.12341332490462233, 0.13060072472419512, 0.13939429946799978, 0.14965192263536592, 0.1612159361641735, 0.17392667662571848, 0.18763242772111738, 0.2021943545921954, 0.21748710633660645, 0.2333967096069609, 0.2498173977800641, 0.26664858392070356, 0.28379264614872457, 0.3011537441648709, 0.31863759107515993, 0.33615195641205975, 0.35360763486687635, 0.37091963747327383, 0.3880084133099473, 0.4048009675732365, 0.42123179378556513, 0.4372435789023541, 0.45278766945780763, 0.4678243061141847, 0.4823226452917419, 0.4962605922140002, 0.5096244716295645, 0.5224085621555099, 0.5346145186987079, 0.5462507054696355, 0.5573314601543583, 0.5678763080977463, 0.5779091439720458, 0.5874573973558775, 0.5965511978587948, 0.6052225547836763, 0.6135045656931114, 0.6214306675051997, 0.6290339427729238, 0.6363464925123692, 0.6433988852902719, 0.6502196902570263 ], [ 0.13960287022326187, 0.13234590133149637, 0.1271633696812659, 0.12401209222245187, 0.1228224743927359, 0.12351917109370605, 0.12603308681377814, 0.13030064232579092, 0.13625362624332701, 0.14380743649698535, 0.15285468304874256, 0.1632666829859458, 0.17490094679971677, 0.18761074355732904, 0.20125331002110516, 0.2156949416616259, 0.2308128201162344, 0.24649440299377104, 0.2626355043322918, 0.27913805617161896, 0.2959082150733336, 0.3128551384915242, 0.32989049335214815, 0.3469285966624064, 0.36388701297669956, 0.3806874201335949, 0.39725657684406157, 0.4135272633244277, 0.42943910617763476, 0.4449392340807326, 0.4599827386970494, 0.4745329353021272, 0.4885614308875766, 0.5020480154571171, 0.5149803963421822, 0.5273537969265049, 0.5391704411884787, 0.5504389446810342, 0.5611736314657566, 0.5713937954037412, 0.5811229232339977, 0.590387896086234, 0.5992181854467579, 0.6076450590422744, 0.6157008115183772, 0.6234180340523047, 0.6308289360487819, 0.6379647307442677, 0.644855094846224, 0.6515277102607263 ], [ 0.1476391915681658, 0.1410986403767352, 0.13667152648413708, 0.1342967534527893, 0.13388079400679959, 0.13531972496935504, 0.13851434316079708, 0.14337408358457368, 0.1498116256686936, 0.1577339890015777, 0.1670358828182086, 0.17759823760491367, 0.18929159067729712, 0.20198206367958826, 0.2155374224034808, 0.22983153838341347, 0.24474666737880457, 0.2601737957862637, 0.27601171837724275, 0.29216556736946264, 0.30854536228236024, 0.3250649279141661, 0.3416413216855555, 0.3581947614153506, 0.3746489570054696, 0.39093171374798413, 0.40697567450988836, 0.4227190873567397, 0.4381065124860065, 0.453089410111368, 0.4676265751290622, 0.4816844034273604, 0.495236988487909, 0.5082660561616374, 0.5207607511609993, 0.5327172918839346, 0.5441385115335957, 0.5550333038004456, 0.5654159911235058, 0.5753056330725663, 0.5847252918828864, 0.5937012717098876, 0.6022623477548159, 0.6104390009896496, 0.6182626736947516, 0.6257650603181069, 0.6329774471793485, 0.6399301132056432, 0.6466518021645854, 0.6531692747571992 ], [ 0.15667190346349844, 0.15081507821468645, 0.14710259171145285, 0.14545753039530487, 0.14576552130703205, 0.1478978600704246, 0.15172907683205467, 0.15714449531314967, 0.16403864031055163, 0.1723088716249384, 0.18184907095205508, 0.19254640187185898, 0.20428175981689736, 0.21693281434540207, 0.23037795256764113, 0.24449971475129903, 0.2591869770112292, 0.27433577332699216, 0.28984905912152753, 0.3056358765249643, 0.32161035516466385, 0.3376908614493245, 0.35379946613732116, 0.36986177760404826, 0.3858071039773848, 0.4015688615685775, 0.41708513177394513, 0.43229927352565944, 0.44716051414522534, 0.46162446121371215, 0.47565349744584884, 0.489217037229556, 0.5022916366060519, 0.5148609580431994, 0.526915597882002, 0.5384527884722013, 0.5494759894182937, 0.5599943836052882, 0.5700222942131704, 0.5795785390807352, 0.588685738745614, 0.5973695943713626, 0.605658151599877, 0.613581066107645, 0.6211688862319205, 0.6284523673870664, 0.6354618320345972, 0.6422265876441824, 0.6487744133594414, 0.6551311239732722 ], [ 0.16680620201426713, 0.1615947237233555, 0.15854494965343036, 0.15756679241085988, 0.1585291793594508, 0.16128370984367013, 0.16568378256689867, 0.1715947448621555, 0.17889521919892257, 0.18747294036448955, 0.19721915798587478, 0.20802452429073406, 0.21977760672004507, 0.2323657097973904, 0.24567697217135728, 0.2596026612464822, 0.27403893197442997, 0.2888877556968162, 0.30405707341721133, 0.3194604188399185, 0.33501630460681414, 0.3506476202186186, 0.3662812040817374, 0.3818476630636328, 0.3972814418074673, 0.4125210979226506, 0.4275097164598475, 0.4421953922236718, 0.4565317150611482, 0.4704782057401831, 0.4840006643545302, 0.4970714068233545, 0.5096693766812825, 0.5217801285237327, 0.533395686254944, 0.5445142840288556, 0.5551400009215643, 0.5652823023675511, 0.5749555026053673, 0.5841781630986703, 0.5929724423200382, 0.6013634125179976, 0.60937835917182, 0.6170460787603009, 0.624396190181096, 0.6314584745912651, 0.6382622575328921, 0.644835845912258, 0.6512060306975191, 0.6573976641055974 ], [ 0.17811508471000653, 0.17350411977774557, 0.17105535140438477, 0.1706687483034335, 0.17220138344364105, 0.1754908969307117, 0.18037525187204426, 0.18670451497226928, 0.19434435566554623, 0.20317378597977354, 0.21308051903752895, 0.22395664416903796, 0.2356960044574698, 0.2481934634977239, 0.26134552518579524, 0.27505155051636704, 0.2892149405216765, 0.30374392570772124, 0.3185518676662717, 0.33355716030443483, 0.34868290103453187, 0.363856506968859, 0.37900941020934037, 0.3940769090258979, 0.40899819790201586, 0.42371655906171496, 0.43817967372074484, 0.45234000107005684, 0.4661551731640303, 0.47958836048728337, 0.49260857269104014, 0.5051908694431166, 0.5173164660566618, 0.5289727268147899, 0.5401530454642695, 0.550856617298573, 0.5610881108345274, 0.5708572496067965, 0.5801783163460343, 0.5890695930055918, 0.5975527509286969, 0.6056522060071136, 0.6133944540172757, 0.6208074014275293, 0.6279197068141213, 0.6347601475517526, 0.6413570256044356, 0.6477376249961188, 0.653927731876728, 0.6599512260406153 ], [ 0.19062872559887353, 0.186567672027452, 0.18465126753013242, 0.18477309294901478, 0.18678337480656185, 0.19051153684892383, 0.19578575312472976, 0.2024455579374581, 0.2103469067351778, 0.2193615483681954, 0.2293734719604057, 0.24027483172621855, 0.2519628035634592, 0.2643378644764215, 0.27730331999668717, 0.2907656036914553, 0.3046348578371256, 0.31882544580293976, 0.3332562292221321, 0.34785059399153834, 0.36253629967705603, 0.37724525892411986, 0.3919133439679014, 0.40648028627702143, 0.42088969895385214, 0.4350892199285616, 0.4490307518231332, 0.46267076226171755, 0.47597060477285796, 0.4888968228135369, 0.5014214054035079, 0.5135219704013657, 0.5251818591827254, 0.5363901335513083, 0.5471414717192536, 0.5574359650314235, 0.5672788208608605, 0.5766799799395885, 0.5856536585050921, 0.5942178272145497, 0.6023936399429184, 0.610204826425125, 0.6176770632672848, 0.6248373381375898, 0.6317133219262555, 0.6383327632935548, 0.6447229192629748, 0.6509100343341386, 0.6569188789830301, 0.6627723564128825 ], [ 0.20433183351616419, 0.2007660980514561, 0.19931006324137027, 0.1998544328883732, 0.20224725476338806, 0.2063149780656804, 0.21188115438379604, 0.21877924688665099, 0.2268587536743441, 0.2359859551135923, 0.24604148849470442, 0.25691682252935333, 0.2685110406601262, 0.28072858981406124, 0.29347807073905385, 0.30667182201310567, 0.32022595202270776, 0.3340605213370637, 0.3480996887550867, 0.36227174686809277, 0.3765090549391533, 0.390747919683772, 0.4049284841107277, 0.41899467277503827, 0.43289422038456904, 0.4465787884913414, 0.4600041571186095, 0.4731304666380098, 0.4859224799226095, 0.4983498345483115, 0.5103872580092035, 0.5220147240510683, 0.5332175341210053, 0.5439863137605139, 0.5543169190528721, 0.5642102527544233, 0.5736719934535117, 0.5827122440754822, 0.5913451083987372, 0.5995882060829679, 0.6074621381343535, 0.6149899158100004, 0.6221963667259105, 0.6291075323788136, 0.6357500713986445, 0.6421506825800536, 0.6483355610638192, 0.6543298999310596, 0.6601574479365396, 0.6658401321739944 ], [ 0.21916722478366935, 0.2160405072476283, 0.21497302063628035, 0.2158557309962577, 0.21853848580115853, 0.22284918887118582, 0.2286112027758637, 0.2356558872328627, 0.24382937370320748, 0.2529944327556201, 0.2630291371413356, 0.27382405405677074, 0.28527926185596186, 0.2973019168665995, 0.3098046106435367, 0.32270444543255744, 0.3359226150655329, 0.34938426386617516, 0.363018450190988, 0.3767581161229454, 0.39054003024563816, 0.40430471307154286, 0.41799637356965286, 0.43156288591793596, 0.4449558256771186, 0.4581305707944052, 0.47104645989756955, 0.4836669907543439, 0.4959600363439813, 0.5078980543987475, 0.519458267651787, 0.5306227953561394, 0.5413787209971664, 0.5517180857964838, 0.5616378021216392, 0.5711394849996879, 0.5802292034680392, 0.5889171564690296, 0.5972172804493997, 0.6051467978261332, 0.6127257170866658, 0.6199762965460669, 0.62692248470486, 0.6335893507330356, 0.640002518826622, 0.6461876200118248, 0.6521697743802669, 0.6579731157118535, 0.6636203689860984, 0.6691324894332669 ], [ 0.2350432743556978, 0.23229981858013854, 0.23155215607439633, 0.23269407981695844, 0.2355803598612868, 0.24004384302131238, 0.24591129599503253, 0.2530153413816459, 0.2612015453969001, 0.2703311525856394, 0.28028073676931675, 0.29094017543692824, 0.302210090915434, 0.3139994867285564, 0.32622391666974215, 0.3388042422997147, 0.3516658783084624, 0.3647383717427556, 0.3779551732539184, 0.3912535007259059, 0.4045742420634446, 0.4178618801825432, 0.4310644444941885, 0.44413350067610763, 0.4570241884175266, 0.46969530971656304, 0.4821094619866954, 0.4942332031437454, 0.5060372311912598, 0.517496558843235, 0.528590664080378, 0.5393035996258427, 0.5496240475006933, 0.5595453085151025, 0.56906522034464, 0.5781860014532757, 0.5869140214006724, 0.5952595009467334, 0.603236147833641, 0.6108607362054991, 0.6181526393448058, 0.6251333267823083, 0.6318258378763999, 0.6382542446484817, 0.6444431169782946, 0.6504170031800525, 0.6561999384723957, 0.6618149929120993, 0.6672838689936722, 0.6726265573614093 ], [ 0.2518430180787128, 0.24942947388435485, 0.2489380894703179, 0.25026740336393377, 0.25327936139442214, 0.2578143108662339, 0.26370517426324624, 0.2707885663297075, 0.27891192219477406, 0.2879368567928421, 0.29773966211179503, 0.30821005079681413, 0.31924912121895244, 0.33076723137581066, 0.3426821657049497, 0.35491773725790443, 0.3674028133010653, 0.38007067813827217, 0.3928586304241673, 0.4057077284174643, 0.41856262493884755, 0.43137146084535216, 0.44408580509873247, 0.4566606395885512, 0.4690543893476342, 0.48122899641263367, 0.4931500310464621, 0.5047868294157226, 0.5161126433535308, 0.527104786062832, 0.5377447575382681, 0.5480183348173633, 0.5579156145048251, 0.5674309979367135, 0.5765631125192653, 0.5853146659364422, 0.5936922329058986, 0.6017059768828745, 0.6093693115240534, 0.6166985088162136, 0.6237122625471133, 0.6304312172467931, 0.636877473847244, 0.6430740840786995, 0.6490445460160307, 0.6548123131821734, 0.6604003291862334, 0.6658305990146804, 0.6711238068180674, 0.6762989883809968 ], [ 0.2694332195314587, 0.267299965826867, 0.26700772531355055, 0.26846108329111973, 0.27153063008048656, 0.2760659358338927, 0.28190805586406686, 0.28889970486012245, 0.29689221367780233, 0.3057492910424657, 0.3153482045491656, 0.32557922753529217, 0.33634415807776585, 0.347554529745665, 0.35912990773872305, 0.37099646558368754, 0.3830858958573253, 0.39533462621024723, 0.40768327764130247, 0.420076298959768, 0.4324617242190269, 0.44479101718418673, 0.45701898184439854, 0.46910372778311005, 0.48100668373991917, 0.4926926532101149, 0.504129904139871, 0.5152902822256149, 0.5261493351104597, 0.5366864334965943, 0.5468848750617655, 0.5567319580057625, 0.5662190128352819, 0.5753413833479243, 0.5840983504378482, 0.592492995103652, 0.6005319997380867, 0.6082253893167824, 0.6155862164183011, 0.6226301960655666, 0.6293752981579891, 0.6358413067462965, 0.642049356567826, 0.6480214580837285, 0.6537800227132579, 0.6593474000177679, 0.6647454382292856, 0.669995078740842, 0.6751159939929104, 0.6801262766406091 ], [ 0.2876723798337253, 0.2857743134009986, 0.2856310184048144, 0.2871538975009606, 0.2902230037546473, 0.29469815442345393, 0.3004298440037627, 0.3072684235965104, 0.3150707310595021, 0.323704061461463, 0.33304786572985834, 0.3429938029818823, 0.353444794029924, 0.3643136143028058, 0.3755214037206767, 0.3869963145549512, 0.3986723951455204, 0.4104887260467526, 0.42238878152371173, 0.4343199733170126, 0.4462333343070402, 0.4580833080387855, 0.4698276198251566, 0.48142721298082447, 0.4928462384989488, 0.5040520883957059, 0.5150154628902498, 0.5257104605697176, 0.5361146795533442, 0.5462093169749244, 0.5559792541228307, 0.5654131153608792, 0.5745032904063967, 0.5832459114970864, 0.5916407792513209, 0.5996912334491868, 0.6074039673987824, 0.6147887869032979, 0.6218583170394797, 0.6286276619490455, 0.6351140245960233, 0.6413362949248359, 0.6473146160369132, 0.6530699388572829, 0.6586235762569929, 0.6639967677060749, 0.6692102652377401, 0.6742839508043826, 0.6792364940155865, 0.6840850578053761 ], [ 0.3064172398615794, 0.30471411911559043, 0.3046765089765915, 0.3062229785339307, 0.30924335715786827, 0.3136081820541319, 0.3191781405213193, 0.3258122558372508, 0.3333740858233838, 0.34173574255006867, 0.35077995220576036, 0.3604006004894154, 0.37050226898734306, 0.38099921540732695, 0.391814142793851, 0.4028769844511138, 0.41412382903946676, 0.42549603549160264, 0.43693954066761614, 0.4484043388785687, 0.45984410437044915, 0.47121592877337776, 0.4824801501723569, 0.49360025553467224, 0.5045428420932871, 0.5152776254924192, 0.5257774833069573, 0.5360185225000026, 0.5459801590493072, 0.5556451977944707, 0.5649999007985059, 0.5740340332839081, 0.5827408774776105, 0.5911172063907515, 0.5991632115447586, 0.6068823808091542, 0.6142813247259619, 0.6213695518694805, 0.6281591958572376, 0.6346646985333645, 0.6409024555456821, 0.6468904319942345, 0.6526477570064002, 0.6581943069578925, 0.6635502875783595, 0.6687358253289541, 0.6737705782009383, 0.678673375456991, 0.6834618948366799, 0.6881523844110076 ], [ 0.32552771398315783, 0.32398417498902105, 0.32401558720062595, 0.325547721599149, 0.3284801280251492, 0.3326941221699064, 0.3380609014878637, 0.3444487762250959, 0.351728874173759, 0.3597790854179492, 0.3684863452718373, 0.37774755877730515, 0.3874695502330502, 0.39756840805249993, 0.4079685287328218, 0.4186015781616652, 0.42940550706581415, 0.4403236921779257, 0.4513042292147165, 0.4622993762780117, 0.47326513256500496, 0.4841609325563117, 0.49494943604760944, 0.5055963965592438, 0.5160705930325685, 0.5263438114933432, 0.5363908643677534, 0.5461896355640463, 0.5557211395961535, 0.5649695832241153, 0.573922418532272, 0.5825703771710006, 0.5909074766713518, 0.5989309912618785, 0.6066413813940832, 0.6140421781254531, 0.621139820526765, 0.6279434462931477, 0.6344646376785515, 0.6407171266843181, 0.646716465066386, 0.6524796661395764, 0.6580248265121492, 0.663370736743036, 0.6685364904456461, 0.6735411015403145, 0.6784031391672496, 0.6831403892119181, 0.6877695504813045, 0.6923059723374839 ], [ 0.34487040928444135, 0.34345576503295483, 0.34352560070676635, 0.3450127052170004, 0.347826038001462, 0.35185745545917524, 0.356988652053034, 0.3630974990272799, 0.3700632274552062, 0.3777702071818589, 0.38611033732497646, 0.39498424326646764, 0.4043015624321439, 0.413980613687088, 0.4239477094417079, 0.43413631105361505, 0.4444861659232752, 0.4549425103269079, 0.46545538052682867, 0.475979046545803, 0.4864715661379027, 0.49689444789353315, 0.5072124090807908, 0.5173932133313848, 0.5274075739712221, 0.5372291097233964, 0.5468343402644208, 0.5562027096270973, 0.5653166258251557, 0.5741615054870207, 0.5827258128703345, 0.5910010834727623, 0.5989819235876862, 0.6066659785572054, 0.614053864098473, 0.6211490568559453, 0.6279577421894713, 0.6344886190778136, 0.6407526638366964, 0.6467628560645482, 0.652533871788592, 0.6580817501441292, 0.6634235410398733, 0.6685769421048735, 0.6735599337458043, 0.6783904213425492, 0.6830858934609942, 0.6876631044640693, 0.6921377890712297, 0.6965244152859434 ], [ 0.3643209716309701, 0.3630088841564253, 0.36309198470585896, 0.36450975272125885, 0.367180081977139, 0.371004931317692, 0.37587623915000196, 0.3816814458473718, 0.3883081532295863, 0.39564767622488983, 0.40359744911843665, 0.41206240107838565, 0.4209555019142141, 0.43019770685877984, 0.43971751538274034, 0.449450321899643, 0.45933769080094466, 0.46932664478895975, 0.47936901944284416, 0.48942091019574585, 0.49944221991162396, 0.5093963043319424, 0.5192497067833083, 0.5289719708496659, 0.5385355187997957, 0.5479155834845607, 0.5570901816550824, 0.566040116979268, 0.5747490014099775, 0.5832032840303822, 0.5913922771387278, 0.5993081701874582, 0.6069460232808831, 0.6143037332501442, 0.6213819668282603, 0.6281840570901762, 0.6347158610448146, 0.6409855780088984, 0.6470035300991476, 0.6527819077978708, 0.6583344850284173, 0.6636763094768494, 0.668823374973473, 0.6737922835657445, 0.6785999054412905, 0.6832630450730199, 0.6877981218443726, 0.6922208729718138, 0.6965460857888744, 0.7007873654227341 ], [ 0.3837655109337063, 0.38253360141131454, 0.3826096066707091, 0.3839392837270454, 0.3864488894721959, 0.3900499208948368, 0.3946441415595162, 0.40012836934176477, 0.4063986290266554, 0.41335343957285253, 0.4208961667349036, 0.42893649827510894, 0.4373911791574593, 0.4461841797494425, 0.4552464711066902, 0.4645155604575966, 0.4739349085330502, 0.483453316992774, 0.4930243442058153, 0.5026057835576957, 0.5121592207789544, 0.5216496748198708, 0.5310453193026505, 0.5403172772576326, 0.5494394795717715, 0.5583885765127662, 0.5671438912996218, 0.5756874046683094, 0.5840037595926391, 0.5920802757271664, 0.5999069637446516, 0.6074765305586176, 0.6147843674540631, 0.6218285143818056, 0.6286095950733669, 0.6351307191610508, 0.6413973490921938, 0.6474171312555718, 0.6531996923400278, 0.6587564034710746, 0.6641001160739654, 0.6692448746478984, 0.6742056126657531, 0.6789978386012636, 0.6836373196012383, 0.6881397705422128, 0.6925205561270761, 0.6967944132882252, 0.7009752004842764, 0.7050756795367519 ], [ 0.403101331559198, 0.4019307719795268, 0.4019835021444819, 0.4032111002305935, 0.40554756863811353, 0.408913307883456, 0.41321938077298764, 0.418371647285571, 0.4242744392157825, 0.4308335651065365, 0.4379585597150331, 0.44556419557590776, 0.45357134571216384, 0.46190732482887803, 0.47050584671988893, 0.47930672642398064, 0.4882554353228745, 0.49730259279740213, 0.5064034540319594, 0.5155174327988739, 0.5246076816523288, 0.5336407399091426, 0.5425862514825431, 0.5514167492270169, 0.5601074991246672, 0.5686363957158955, 0.5769838991535913, 0.5851330038180519, 0.5930692283823773, 0.6007806174697463, 0.6082577455502989, 0.6154937144648446, 0.6224841369169415, 0.6292270994203952, 0.6357230994937009, 0.6419749533165598, 0.6479876715614578, 0.6537683026379807, 0.6593257440913836, 0.6646705243335383, 0.6698145582091297, 0.6747708810713688, 0.6795533670209486, 0.6841764377158803, 0.6886547686600253, 0.6930030001044869, 0.6972354596378674, 0.7013659031998748, 0.7054072806416828, 0.7093715311033953 ], [ 0.42223715419943847, 0.42111226756463155, 0.4211291517101537, 0.42224473549102, 0.4244001373560968, 0.4275239967263728, 0.4315360874326804, 0.4363508781369969, 0.4418807651839298, 0.44803879164773247, 0.4547407607520286, 0.46190673503453555, 0.46946197451546495, 0.4773374047547297, 0.4854697213753117, 0.493801236584267, 0.5022795614147673, 0.5108572002070052, 0.5194911153114009, 0.5281423027641458, 0.5367754051236612, 0.5453583762052663, 0.5538622039558312, 0.5622606917147641, 0.5705302940635214, 0.57865000085963, 0.5866012614675818, 0.5943679403347826, 0.6019362947139308, 0.6092949653774153, 0.616434971528256, 0.6233497017370112, 0.6300348935881211, 0.6364885957677818, 0.6427111075316043, 0.6487048918138558, 0.6544744596374332, 0.6600262249103341, 0.6653683301049909, 0.6705104446676156, 0.6754635392531377, 0.6802396399879795, 0.6848515678912106, 0.6893126693029848, 0.69363654365142, 0.697836775116902, 0.7019266747167694, 0.7059190390350571, 0.7098259312746017, 0.7136584895379143 ], [ 0.4410929755070139, 0.4400008596675291, 0.4399724207246581, 0.4409694733009254, 0.44293963366357486, 0.4458191136751584, 0.4495357809649874, 0.45401221770735023, 0.45916855131638196, 0.46492489428873024, 0.47120330203758215, 0.4779292238142041, 0.48503247421230494, 0.4924477877655446, 0.5001150372805669, 0.5079792008198382, 0.5159901567331543, 0.5241023748507457, 0.5322745582126172, 0.5404692758860938, 0.548652614960261, 0.5567938693899048, 0.5648652751491534, 0.5728417949818516, 0.5807009515847121, 0.5884227049784589, 0.5959893677902408, 0.6033855509287768, 0.6105981314891459, 0.6176162345410957, 0.6244312206395187, 0.6310366713818419, 0.6374283660730188, 0.6436042435000449, 0.6495643439216964, 0.6553107276027414, 0.660847367521592, 0.6661800152124433, 0.6713160400238994, 0.6762642433438361, 0.6810346505142422, 0.6856382842025881, 0.6900869238734627, 0.6943928566862537, 0.6985686256075117, 0.7026267807536822, 0.7065796399630158, 0.7104390643365558, 0.7142162539997666, 0.7179215686421471 ], [ 0.45959967694052317, 0.4585298593253712, 0.4584492575071963, 0.4593241250049337, 0.4611079835421814, 0.4637439680346618, 0.46716741766860376, 0.4713084991828336, 0.476094675821363, 0.4814528815058479, 0.4873113138362578, 0.4936008118285907, 0.5002558279184113, 0.5072150351633292, 0.5144216292308887, 0.5218233922210203, 0.5293725842970437, 0.5370257223948286, 0.5447432955548657, 0.5524894557040968, 0.5602317123828268, 0.5679406507649792, 0.5755896847059543, 0.5831548505151127, 0.5906146425571602, 0.5979498884271767, 0.60514365909223, 0.6121812078447451, 0.6190499310016315, 0.6257393428784448, 0.6322410575712578, 0.6385487704143782, 0.6446582325889941, 0.6505672131837998, 0.6562754440057572, 0.6617845435615404, 0.6670979178331599, 0.6722206367109137, 0.6771592861805482, 0.6819217975485393, 0.6865172560908721, 0.6909556924909539, 0.695247861259024, 0.6994050109711332, 0.703438651608424, 0.707360324502116, 0.7111813803892669, 0.7149127708613527, 0.718564858053787, 0.7221472468015512 ], [ 0.47769846610400996, 0.4766425916704305, 0.4765052238719345, 0.47725663363920456, 0.4788556902550931, 0.4812518314314636, 0.48438725737164084, 0.4881991776600584, 0.49262195784523094, 0.49758904568979506, 0.5030345977188326, 0.508894767703051, 0.5151086545522711, 0.5216189345253922, 0.5283722206284129, 0.5353192011885118, 0.5424146114895276, 0.5496170890663331, 0.556888956767445, 0.56419596967469, 0.5715070536541242, 0.5787940555154711, 0.5860315179284058, 0.5931964865645806, 0.6002683524094157, 0.6072287287220174, 0.6140613595768555, 0.6207520551507077, 0.6272886477893898, 0.633660962286194, 0.6398607936340107, 0.6458818856978242, 0.6517199047287633, 0.6573724023478726, 0.6628387635156815, 0.6681201360239426, 0.6732193391524393, 0.6781407502823372, 0.6828901694059925, 0.6874746625813593, 0.6919023864099879, 0.6961823965368306, 0.7003244439474041, 0.7043387634476632, 0.7082358591340859, 0.7120262918825739, 0.7157204738987742, 0.7193284751819562, 0.7228598463707149, 0.7263234618816354 ], [ 0.4953402120763157, 0.49429176391820245, 0.4940949143697142, 0.49472355946920876, 0.4961413970140821, 0.49830358348386183, 0.5011585924277067, 0.5046501371233064, 0.5087190319730726, 0.5133048908143575, 0.5183475908151941, 0.5237884626088674, 0.5295711964691536, 0.5356424778222331, 0.541952381972213, 0.5484545676233619, 0.5551063125316328, 0.5618684337773385, 0.568705131184927, 0.5755837866507164, 0.5824747456379301, 0.5893511006248344, 0.5961884903329407, 0.6029649233812933, 0.6096606307095183, 0.6162579476813357, 0.6227412241566016, 0.6290967589119233, 0.6353127534996557, 0.6413792798696674, 0.6472882557540379, 0.6530334218580873, 0.6586103152465775, 0.6640162339029, 0.6692501882179119, 0.6743128360835441, 0.6792063992772583, 0.6839345598823271, 0.6885023365536412, 0.6929159414702427, 0.6971826197777842, 0.7013104741840304, 0.7053082780997414, 0.7091852812919176, 0.7129510124180323, 0.7166150830264588, 0.7201869976347589, 0.72367597433644, 0.7270907800487888, 0.7304395840177959 ], [ 0.5124847197877518, 0.5114387703022297, 0.511181306880672, 0.5116894889473191, 0.5129313641586825, 0.5148672635576577, 0.5174513762622471, 0.5206333935024382, 0.5243601191707903, 0.5285769609833053, 0.5332292391760505, 0.5382632745107424, 0.5436272408853925, 0.5492717876715325, 0.5551504517552525, 0.5612198888552901, 0.5674399584676157, 0.5737736976169677, 0.580187216528838, 0.5866495453940871, 0.5931324564628723, 0.5996102804575094, 0.6060597312153977, 0.6124597478641065, 0.6187913598517522, 0.6250375768658488, 0.6311833030667199, 0.6372152730926415, 0.64312200590019, 0.6488937716147957, 0.6545225661142362, 0.660002087985208, 0.6653277127188343, 0.670496459487055, 0.6755069465146163, 0.6803593318801598, 0.6850552374971113, 0.689597654996055, 0.6939908332133622, 0.6982401479475361, 0.7023519555399284, 0.706333432638896, 0.7101924051890377, 0.7139371702275474, 0.7175763144510978, 0.7211185337280183, 0.7245724577676739, 0.7279464840244593, 0.7312486246176243, 0.7344863696070077 ], [ 0.5290999762683712, 0.5280529660888996, 0.5277350766126316, 0.5281263993551121, 0.5291988932360746, 0.5309175606683479, 0.533241782457328, 0.5361267228164489, 0.5395247202721121, 0.5433865922866423, 0.5476627984984984, 0.552304426732542, 0.5572639848041129, 0.5624959976813064, 0.5679574225949442, 0.573607903741339, 0.5794098934408304, 0.5853286685180172, 0.5913322699808348, 0.5973913915637454, 0.6034792390725079, 0.6095713783112424, 0.6156455851323417, 0.621681707135307, 0.6276615429447476, 0.6335687419230083, 0.6393887246563895, 0.6451086225898551, 0.650717233741202, 0.6562049904547932, 0.6615639346035875, 0.6667876954599208, 0.671871465574572, 0.6768119703755391, 0.6816074277703568, 0.686257494758867, 0.6907631988898177, 0.6951268532804475, 0.6993519548220044, 0.7034430660783959, 0.7074056822157145, 0.7112460850472827, 0.7149711869163541, 0.7185883676458779, 0.7221053081461078, 0.7255298244764962, 0.7288697062044925, 0.7321325627932567, 0.7353256814920607, 0.7384558998125866 ], [ 0.5451613925435356, 0.5441109342669306, 0.5437338974509164, 0.5440130037126955, 0.5449237232005683, 0.546435267095232, 0.5485117197437483, 0.5511132388583597, 0.5541972547738956, 0.5577196083165761, 0.5616355795965473, 0.5659007749309265, 0.5704718541778905, 0.5753070944428866, 0.5803667973546207, 0.5856135553859935, 0.59101239795754, 0.5965308405871664, 0.6021388606194489, 0.6078088216418316, 0.6135153661274739, 0.6192352926245466, 0.6249474303360041, 0.6306325204992553, 0.6362731107868348, 0.6418534661348747, 0.6473594970337371, 0.6527787044080787, 0.6581001387655618, 0.663314370277971, 0.6684134658372535, 0.6733909688568113, 0.6782418776165027, 0.6829626182285532, 0.687551008781465, 0.6920062118520411, 0.6963286733157534, 0.7005200461896981, 0.7045830990699385, 0.708521609539524, 0.7123402436918521, 0.716044423607528, 0.7196401852170567, 0.723134029456994, 0.7265327699690385, 0.7298433807910456, 0.7330728475427437, 0.7362280255196622, 0.7393155078848741, 0.7423415068035432 ], [ 0.5606510582642384, 0.5595957621053014, 0.5591617484061715, 0.5593340945188905, 0.5600914181662906, 0.5614067158395714, 0.5632483233513396, 0.5655809406486024, 0.568366664312863, 0.5715659772342184, 0.5751386544861161, 0.5790445559418923, 0.5832442881788721, 0.5876997294566462, 0.5923744211310104, 0.5972338362592121, 0.6022455412039172, 0.6073792688685199, 0.6126069230960716, 0.6179025331364405, 0.6232421753547045, 0.6286038769159202, 0.6339675133791531, 0.6393147092397977, 0.6446287476765866, 0.6498944932280363, 0.6550983289290374, 0.6602281076270011, 0.6652731157820517, 0.6702240470286713, 0.6750729821125306, 0.6798133714817642, 0.684440016765783, 0.6889490475728033, 0.6933378904339551, 0.697605227271829, 0.7017509414304606, 0.7057760500303667, 0.7096826221671674, 0.7134736832202112, 0.7171531062465348, 0.7207254920779147, 0.7241960402914973, 0.7275704136690426, 0.7308545990827402, 0.7340547679385288, 0.7371771393679601, 0.7402278492893701, 0.7432128282661182, 0.7461376907866719 ], [ 0.5755570212004718, 0.5744963399606617, 0.5740082381607661, 0.5740799001776792, 0.5746927615041214, 0.5758232175659681, 0.5774434389504384, 0.5795222460870034, 0.5820259969594017, 0.5849194457053701, 0.5881665371004016, 0.5917311108249759, 0.5955774989577813, 0.5996710093288303, 0.603978295448703, 0.6084676202226496, 0.6131090253483378, 0.6178744211944375, 0.6227376132385681, 0.6276742810803821, 0.6326619249553214, 0.6376797928731466, 0.6427087992800344, 0.6477314437363589, 0.6527317357055269, 0.6576951293040837, 0.6626084698663889, 0.6674599524877084, 0.672239091356207, 0.6769366976726869, 0.6815448632749604, 0.6860569467072001, 0.6904675583706139, 0.6947725415221597, 0.6989689462116349, 0.7030549937223118, 0.7070300296647294, 0.7108944645274136, 0.7146497011748362, 0.7182980494676559, 0.7218426288327632, 0.7252872602045514, 0.7286363492720359, 0.7318947633816825, 0.7350677047503313, 0.738160582828866, 0.7411788887224944, 0.7441280745200112, 0.7470134402191942, 0.7498400306699947 ], [ 0.5898726000285421, 0.5888066910775248, 0.5882679570671046, 0.5882454642782822, 0.5887231673576893, 0.5896805089778534, 0.5910931118501717, 0.5929335249026491, 0.5951719854888822, 0.5977771625074717, 0.6007168506637464, 0.6039585929969561, 0.6074702163761896, 0.6112202721580822, 0.6151783809728243, 0.6193154862317833, 0.6236040252004422, 0.6280180293023943, 0.6325331668003461, 0.6371267413185979, 0.6417776590593807, 0.6464663762696518, 0.6511748367721765, 0.6558864073949481, 0.6605858170908616, 0.6652591035716411, 0.6698935694863266, 0.6744777486222261, 0.6790013813343594, 0.6834553974342887, 0.6878319040890518, 0.692124175880289, 0.6963266440271136, 0.7004348818516325, 0.7044455838269038, 0.7083565359551129, 0.712166575740204, 0.71587554060647, 0.7194842042372839, 0.7229942009336242, 0.7264079386913292, 0.7297285022440214, 0.7329595477944669, 0.7361051915444091, 0.7391698944198153, 0.742158345567802, 0.7450753472708151, 0.7479257038848933, 0.750714117268478, 0.7534450909364755 ], [ 0.6035957360670572, 0.6025253383572609, 0.6019398631346801, 0.6018300550003276, 0.6021821176803022, 0.6029782215640288, 0.6041970911307548, 0.6058146411265367, 0.6078046301287305, 0.6101393022515845, 0.6127899917701572, 0.6157276707834898, 0.6189234260596786, 0.6223488572950686, 0.6259763946655853, 0.6297795383757557, 0.6337330266942189, 0.6378129416168844, 0.641996762848401, 0.6462633813515771, 0.6505930834476165, 0.6549675155468513, 0.6593696382418565, 0.6637836768807166, 0.6681950740132017, 0.6725904473938892, 0.6769575556323612, 0.6812852721717824, 0.6855635670991341, 0.6897834953669889, 0.6939371893442509, 0.6980178532036796, 0.7020197564786282, 0.7059382241535688, 0.7097696208611378, 0.7135113271079428, 0.7171617059067793, 0.720720058719073, 0.7241865701749925, 0.7275622416089917, 0.7308488139980233, 0.7340486813945679, 0.7371647963872292, 0.7402005694824769, 0.7431597645710862, 0.7460463928152035, 0.748864607364377, 0.751618601283115, 0.7543125109542804, 0.7569503270211528 ], [ 0.6167283875167259, 0.6156547119528966, 0.6150267063565779, 0.614836609635085, 0.6150726305159799, 0.6157193771980979, 0.6167583559016333, 0.6181685128624178, 0.619926793942986, 0.6220086975179259, 0.6243887993261623, 0.6270412321376333, 0.6299401078699937, 0.6330598747361038, 0.6363756066903173, 0.6398632265509698, 0.6434996674977871, 0.6472629800733434, 0.6511323933481089, 0.6550883396033025, 0.6591124518588575, 0.6631875429684805, 0.6672975739729883, 0.6714276180962254, 0.6755638253201129, 0.6796933910027806, 0.6838045305994175, 0.6878864612799761, 0.6919293901598508, 0.6959245079980715, 0.6998639865846011, 0.7037409776320128, 0.7075496107941637, 0.7112849884340762, 0.7149431749279346, 0.7185211785912371, 0.7220169247143198, 0.7254292186653972, 0.728757698528805, 0.7320027772654499, 0.7351655748856704, 0.738247841589389, 0.7412518732360188, 0.7441804208425102, 0.7470365960617723, 0.7498237747591211, 0.7525455008791281, 0.7552053927807437, 0.7578070541200032, 0.7603539911852175 ], [ 0.6292759681605943, 0.6282005999147094, 0.6275344940221846, 0.6272712174136661, 0.6274007633446936, 0.6279099150782729, 0.6287826688228371, 0.6300006950644013, 0.6315438169968, 0.6333904857954603, 0.6355182347803421, 0.6379040977551654, 0.6405249806239237, 0.6433579794002084, 0.6463806416053227, 0.6495711715282511, 0.652908582704924, 0.6563728031592218, 0.6599447404025134, 0.6636063139430313, 0.6673404631880413, 0.6711311382366638, 0.6749632802804488, 0.6788227972754752, 0.6826965393402922, 0.6865722770716907, 0.690438684741386, 0.6942853292092459, 0.6981026644119421, 0.7018820304917901, 0.7056156560352921, 0.7092966614971955, 0.7129190616855156, 0.7164777651591224, 0.7199685685191914, 0.7233881438319658, 0.7267340177738876, 0.7300045415115026, 0.7331988507889202, 0.7363168161681313, 0.7393589838279214, 0.7423265077544383, 0.745221074533273, 0.7480448222654668, 0.7508002553684286, 0.7534901571812813, 0.7561175023704679, 0.7586853711267701, 0.7611968670637547, 0.7636550405774379 ] ] }, { "hoverinfo": "text", "legendgroup": "In-sample", "marker": { "color": "black", "opacity": 0.5, "symbol": 1 }, "mode": "markers", "name": "In-sample", "text": [ "Arm 0_0
hartmann6: -0.0165024 (SEM: 0)
x1: 0.761784
x2: 0.145794
x3: 0.680785
x4: 0.0927836
x5: 0.500378
x6: 0.0283619", "Arm 10_0
hartmann6: -2.36956 (SEM: 0)
x1: 0.0163226
x2: 0.329739
x3: 0.644698
x4: 0.241429
x5: 0.340149
x6: 0.66561", "Arm 11_0
hartmann6: -0.465148 (SEM: 0)
x1: 0.138077
x2: 0.214288
x3: 0.00295743
x4: 0.551849
x5: 0.162423
x6: 0.932842", "Arm 12_0
hartmann6: -1.97223 (SEM: 0)
x1: 0
x2: 0.311011
x3: 0.638862
x4: 0.240118
x5: 0.394105
x6: 0.547353", "Arm 13_0
hartmann6: -2.09307 (SEM: 0)
x1: 2.38953e-16
x2: 0.26318
x3: 0.675059
x4: 0.175802
x5: 0.364154
x6: 0.738206", "Arm 14_0
hartmann6: -2.02469 (SEM: 0)
x1: 9.08834e-18
x2: 0.355257
x3: 0.677436
x4: 0.297335
x5: 0.22865
x6: 0.667765", "Arm 15_0
hartmann6: -1.83982 (SEM: 0)
x1: 0.0161322
x2: 0.430962
x3: 0.599003
x4: 0.267143
x5: 0.418351
x6: 0.68729", "Arm 16_0
hartmann6: -2.8036 (SEM: 0)
x1: 0.0834731
x2: 0.259304
x3: 0.614688
x4: 0.223776
x5: 0.309589
x6: 0.646376", "Arm 17_0
hartmann6: -2.5628 (SEM: 0)
x1: 0.110299
x2: 0.209659
x3: 0.582877
x4: 0.132389
x5: 0.277396
x6: 0.635667", "Arm 18_0
hartmann6: -2.82601 (SEM: 0)
x1: 0.116671
x2: 0.199314
x3: 0.662457
x4: 0.282671
x5: 0.340721
x6: 0.649146", "Arm 19_0
hartmann6: -3.06193 (SEM: 0)
x1: 0.0891991
x2: 0.187592
x3: 0.560033
x4: 0.292964
x5: 0.33199
x6: 0.650988", "Arm 1_0
hartmann6: -2.26344 (SEM: 0)
x1: 0.413824
x2: 0.709716
x3: 0.65934
x4: 0.486394
x5: 0.644617
x6: 0.0478884", "Arm 20_0
hartmann6: -3.141 (SEM: 0)
x1: 0.137508
x2: 0.194576
x3: 0.483965
x4: 0.319568
x5: 0.343251
x6: 0.646308", "Arm 21_0
hartmann6: -2.80998 (SEM: 0)
x1: 0.117678
x2: 0.183252
x3: 0.44669
x4: 0.273578
x5: 0.407767
x6: 0.656578", "Arm 22_0
hartmann6: -3.10277 (SEM: 0)
x1: 0.139702
x2: 0.16501
x3: 0.479932
x4: 0.339857
x5: 0.297946
x6: 0.618955", "Arm 23_0
hartmann6: -3.19941 (SEM: 0)
x1: 0.150209
x2: 0.185686
x3: 0.500008
x4: 0.321413
x5: 0.306202
x6: 0.673256", "Arm 24_0
hartmann6: -3.23199 (SEM: 0)
x1: 0.190863
x2: 0.209314
x3: 0.517258
x4: 0.307743
x5: 0.305093
x6: 0.654379", "Arm 25_0
hartmann6: -3.19553 (SEM: 0)
x1: 0.237271
x2: 0.152442
x3: 0.517618
x4: 0.330489
x5: 0.317811
x6: 0.662176", "Arm 26_0
hartmann6: -3.31224 (SEM: 0)
x1: 0.204356
x2: 0.174187
x3: 0.491599
x4: 0.281326
x5: 0.309913
x6: 0.659809", "Arm 27_0
hartmann6: -3.28582 (SEM: 0)
x1: 0.228294
x2: 0.1654
x3: 0.424118
x4: 0.267075
x5: 0.308045
x6: 0.659495", "Arm 28_0
hartmann6: -3.3157 (SEM: 0)
x1: 0.195391
x2: 0.130766
x3: 0.473422
x4: 0.268087
x5: 0.309366
x6: 0.657481", "Arm 2_0
hartmann6: -0.531326 (SEM: 0)
x1: 0.96206
x2: 0.361653
x3: 0.786802
x4: 0.137625
x5: 0.153775
x6: 0.7092", "Arm 3_0
hartmann6: -1.62979 (SEM: 0)
x1: 0.288179
x2: 0.907788
x3: 0.122986
x4: 0.748426
x5: 0.443253
x6: 0.121876", "Arm 4_0
hartmann6: -0.166905 (SEM: 0)
x1: 0.395798
x2: 0.823228
x3: 0.974181
x4: 0.218722
x5: 0.0917164
x6: 0.67056", "Arm 5_0
hartmann6: -0.502685 (SEM: 0)
x1: 0.155671
x2: 0.422722
x3: 0.947155
x4: 0.931438
x5: 0.352817
x6: 0.90514", "Arm 6_0
hartmann6: -0.0489073 (SEM: 0)
x1: 0.677082
x2: 0.595692
x3: 0.454348
x4: 0.359513
x5: 0.816667
x6: 0.438615", "Arm 7_0
hartmann6: -0.58316 (SEM: 0)
x1: 0.0646402
x2: 0.435102
x3: 0.118788
x4: 0.218109
x5: 0.106389
x6: 0.903427", "Arm 8_0
hartmann6: -0.120112 (SEM: 0)
x1: 0.604203
x2: 0.795868
x3: 0.525287
x4: 0.395679
x5: 0.846682
x6: 0.44609", "Arm 9_0
hartmann6: -0.0556973 (SEM: 0)
x1: 0.605462
x2: 0.702385
x3: 0.821273
x4: 0.683334
x5: 0.642168
x6: 0.983054" ], "type": "scatter", "x": [ 0.7617841958999634, 0.016322550363838673, 0.13807749841362238, 0.0, 2.3895275663679794e-16, 9.088337199323674e-18, 0.01613215906920537, 0.08347313198938679, 0.11029884164152548, 0.11667149040947723, 0.08919913333741854, 0.41382386442273855, 0.13750790283806522, 0.11767794210740189, 0.13970165093855563, 0.15020925395409027, 0.1908630574819449, 0.23727126116253558, 0.20435615372386134, 0.22829361240962923, 0.19539133116559393, 0.9620602056384087, 0.28817926719784737, 0.3957977071404457, 0.1556708011776209, 0.6770819462835789, 0.06464018020778894, 0.6042034765705466, 0.6054618824273348 ], "xaxis": "x", "y": [ 0.14579440653324127, 0.32973938435316086, 0.21428837347775698, 0.31101081720705076, 0.2631801572697603, 0.35525749262550244, 0.4309622064455951, 0.2593039692834403, 0.2096594136469551, 0.1993143160436715, 0.18759243234301096, 0.7097159186378121, 0.19457587542062196, 0.1832522147598788, 0.1650096492335791, 0.18568588189856197, 0.20931390075013828, 0.15244154380123182, 0.1741866509399988, 0.16539989180520545, 0.13076645318512956, 0.36165320686995983, 0.9077879944816232, 0.8232284663245082, 0.42272174172103405, 0.59569192212075, 0.43510220386087894, 0.7958682095631957, 0.7023846451193094 ], "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: -0.0165024 (SEM: 0)
x1: 0.761784
x2: 0.145794
x3: 0.680785
x4: 0.0927836
x5: 0.500378
x6: 0.0283619", "Arm 10_0
hartmann6: -2.36956 (SEM: 0)
x1: 0.0163226
x2: 0.329739
x3: 0.644698
x4: 0.241429
x5: 0.340149
x6: 0.66561", "Arm 11_0
hartmann6: -0.465148 (SEM: 0)
x1: 0.138077
x2: 0.214288
x3: 0.00295743
x4: 0.551849
x5: 0.162423
x6: 0.932842", "Arm 12_0
hartmann6: -1.97223 (SEM: 0)
x1: 0
x2: 0.311011
x3: 0.638862
x4: 0.240118
x5: 0.394105
x6: 0.547353", "Arm 13_0
hartmann6: -2.09307 (SEM: 0)
x1: 2.38953e-16
x2: 0.26318
x3: 0.675059
x4: 0.175802
x5: 0.364154
x6: 0.738206", "Arm 14_0
hartmann6: -2.02469 (SEM: 0)
x1: 9.08834e-18
x2: 0.355257
x3: 0.677436
x4: 0.297335
x5: 0.22865
x6: 0.667765", "Arm 15_0
hartmann6: -1.83982 (SEM: 0)
x1: 0.0161322
x2: 0.430962
x3: 0.599003
x4: 0.267143
x5: 0.418351
x6: 0.68729", "Arm 16_0
hartmann6: -2.8036 (SEM: 0)
x1: 0.0834731
x2: 0.259304
x3: 0.614688
x4: 0.223776
x5: 0.309589
x6: 0.646376", "Arm 17_0
hartmann6: -2.5628 (SEM: 0)
x1: 0.110299
x2: 0.209659
x3: 0.582877
x4: 0.132389
x5: 0.277396
x6: 0.635667", "Arm 18_0
hartmann6: -2.82601 (SEM: 0)
x1: 0.116671
x2: 0.199314
x3: 0.662457
x4: 0.282671
x5: 0.340721
x6: 0.649146", "Arm 19_0
hartmann6: -3.06193 (SEM: 0)
x1: 0.0891991
x2: 0.187592
x3: 0.560033
x4: 0.292964
x5: 0.33199
x6: 0.650988", "Arm 1_0
hartmann6: -2.26344 (SEM: 0)
x1: 0.413824
x2: 0.709716
x3: 0.65934
x4: 0.486394
x5: 0.644617
x6: 0.0478884", "Arm 20_0
hartmann6: -3.141 (SEM: 0)
x1: 0.137508
x2: 0.194576
x3: 0.483965
x4: 0.319568
x5: 0.343251
x6: 0.646308", "Arm 21_0
hartmann6: -2.80998 (SEM: 0)
x1: 0.117678
x2: 0.183252
x3: 0.44669
x4: 0.273578
x5: 0.407767
x6: 0.656578", "Arm 22_0
hartmann6: -3.10277 (SEM: 0)
x1: 0.139702
x2: 0.16501
x3: 0.479932
x4: 0.339857
x5: 0.297946
x6: 0.618955", "Arm 23_0
hartmann6: -3.19941 (SEM: 0)
x1: 0.150209
x2: 0.185686
x3: 0.500008
x4: 0.321413
x5: 0.306202
x6: 0.673256", "Arm 24_0
hartmann6: -3.23199 (SEM: 0)
x1: 0.190863
x2: 0.209314
x3: 0.517258
x4: 0.307743
x5: 0.305093
x6: 0.654379", "Arm 25_0
hartmann6: -3.19553 (SEM: 0)
x1: 0.237271
x2: 0.152442
x3: 0.517618
x4: 0.330489
x5: 0.317811
x6: 0.662176", "Arm 26_0
hartmann6: -3.31224 (SEM: 0)
x1: 0.204356
x2: 0.174187
x3: 0.491599
x4: 0.281326
x5: 0.309913
x6: 0.659809", "Arm 27_0
hartmann6: -3.28582 (SEM: 0)
x1: 0.228294
x2: 0.1654
x3: 0.424118
x4: 0.267075
x5: 0.308045
x6: 0.659495", "Arm 28_0
hartmann6: -3.3157 (SEM: 0)
x1: 0.195391
x2: 0.130766
x3: 0.473422
x4: 0.268087
x5: 0.309366
x6: 0.657481", "Arm 2_0
hartmann6: -0.531326 (SEM: 0)
x1: 0.96206
x2: 0.361653
x3: 0.786802
x4: 0.137625
x5: 0.153775
x6: 0.7092", "Arm 3_0
hartmann6: -1.62979 (SEM: 0)
x1: 0.288179
x2: 0.907788
x3: 0.122986
x4: 0.748426
x5: 0.443253
x6: 0.121876", "Arm 4_0
hartmann6: -0.166905 (SEM: 0)
x1: 0.395798
x2: 0.823228
x3: 0.974181
x4: 0.218722
x5: 0.0917164
x6: 0.67056", "Arm 5_0
hartmann6: -0.502685 (SEM: 0)
x1: 0.155671
x2: 0.422722
x3: 0.947155
x4: 0.931438
x5: 0.352817
x6: 0.90514", "Arm 6_0
hartmann6: -0.0489073 (SEM: 0)
x1: 0.677082
x2: 0.595692
x3: 0.454348
x4: 0.359513
x5: 0.816667
x6: 0.438615", "Arm 7_0
hartmann6: -0.58316 (SEM: 0)
x1: 0.0646402
x2: 0.435102
x3: 0.118788
x4: 0.218109
x5: 0.106389
x6: 0.903427", "Arm 8_0
hartmann6: -0.120112 (SEM: 0)
x1: 0.604203
x2: 0.795868
x3: 0.525287
x4: 0.395679
x5: 0.846682
x6: 0.44609", "Arm 9_0
hartmann6: -0.0556973 (SEM: 0)
x1: 0.605462
x2: 0.702385
x3: 0.821273
x4: 0.683334
x5: 0.642168
x6: 0.983054" ], "type": "scatter", "x": [ 0.7617841958999634, 0.016322550363838673, 0.13807749841362238, 0.0, 2.3895275663679794e-16, 9.088337199323674e-18, 0.01613215906920537, 0.08347313198938679, 0.11029884164152548, 0.11667149040947723, 0.08919913333741854, 0.41382386442273855, 0.13750790283806522, 0.11767794210740189, 0.13970165093855563, 0.15020925395409027, 0.1908630574819449, 0.23727126116253558, 0.20435615372386134, 0.22829361240962923, 0.19539133116559393, 0.9620602056384087, 0.28817926719784737, 0.3957977071404457, 0.1556708011776209, 0.6770819462835789, 0.06464018020778894, 0.6042034765705466, 0.6054618824273348 ], "xaxis": "x2", "y": [ 0.14579440653324127, 0.32973938435316086, 0.21428837347775698, 0.31101081720705076, 0.2631801572697603, 0.35525749262550244, 0.4309622064455951, 0.2593039692834403, 0.2096594136469551, 0.1993143160436715, 0.18759243234301096, 0.7097159186378121, 0.19457587542062196, 0.1832522147598788, 0.1650096492335791, 0.18568588189856197, 0.20931390075013828, 0.15244154380123182, 0.1741866509399988, 0.16539989180520545, 0.13076645318512956, 0.36165320686995983, 0.9077879944816232, 0.8232284663245082, 0.42272174172103405, 0.59569192212075, 0.43510220386087894, 0.7958682095631957, 0.7023846451193094 ], "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" } ], "heatmapgl": [ { "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": "heatmapgl" } ], "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" } ], "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": [ "
" ] }, "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": "6bb48c1b", "metadata": { "execution": { "iopub.execute_input": "2024-03-01T16:33:51.639053Z", "iopub.status.busy": "2024-03-01T16:33:51.638561Z", "iopub.status.idle": "2024-03-01T16:33:52.186079Z", "shell.execute_reply": "2024-03-01T16:33:52.185394Z" }, "papermill": { "duration": 0.610714, "end_time": "2024-03-01T16:33:52.190981", "exception": false, "start_time": "2024-03-01T16:33:51.580267", "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": [ [ 0.9669521034983052, 0.9665313701740722, 0.9665402435248185, 0.966988968137612, 0.9678861984225273, 0.9692388138741117, 0.9710517673535415, 0.9733279845786604, 0.9760683303248677, 0.9792716485092545, 0.9829348695701854, 0.9870531627723852, 0.9916200995030996, 0.9966277924007867, 1.0020669861205658, 1.0079270942193017, 1.0141961946888003, 1.020861007096619, 1.0279068751467275, 1.0353177724231193, 1.0430763404908543, 1.0511639608273702, 1.0595608568149482, 1.0682462193419135, 1.0771983488198082, 1.0863948068747982, 1.0958125720011123, 1.1054281946683142, 1.1152179485258065, 1.125157975343399, 1.135224422132641, 1.1453935695181459, 1.1556419508914142, 1.1659464622112168, 1.1762844625392577, 1.1866338655427937, 1.1969732222749456, 1.2072817955768735, 1.2175396264451674, 1.2277275926855065, 1.2378274601373196, 1.2478219267125439, 1.2576946594505625, 1.2674303247554275, 1.2770146119559804, 1.2864342503154453, 1.2956770196178833, 1.304731754473141, 1.313588342510208, 1.3222377166684465 ], [ 0.9675104902635518, 0.9671257277117647, 0.967173357997118, 0.9676638536183765, 0.9686061041164824, 0.9700072162317291, 0.9718723436976573, 0.9742045684575769, 0.9770048544058794, 0.9802720866276905, 0.9840031922273419, 0.9881933168864538, 0.9928360135413166, 0.9979233964359873, 1.0034462291676283, 1.0093939422261102, 1.0157546004141627, 1.0225148528871546, 1.029659896760634, 1.0371734747747685, 1.0450379152868445, 1.053234213304902, 1.061742145701551, 1.0705404115800226, 1.0796067888122083, 1.088918298951174, 1.0984513743051965, 1.108182022530506, 1.1180859854690388, 1.128138890063023, 1.1383163900291282, 1.148594297603473, 1.1589487051164586, 1.1693560964614071, 1.1797934487173978, 1.1902383242994896, 1.2006689540626803, 1.2110643117935966, 1.2214041805020335, 1.2316692108820957, 1.2418409722598645, 1.2519019962885265, 1.261835813598392, 1.2716269835645302, 1.281261117321465, 1.2907248941367875, 1.3000060712537371, 1.3090934873284503, 1.3179770596183993, 1.3266477751224397 ], [ 0.9684513927546398, 0.9681060841980063, 0.9681954132932034, 0.968730059087821, 0.9697191434994907, 0.9711700188652749, 0.9730880784450904, 0.9754766143001572, 0.9783367500090983, 0.9816674699075034, 0.9854657473886426, 0.989726744886785, 0.9944440306507993, 0.9996097500257665, 1.0052147098023643, 1.0112483726296222, 1.0176987925815286, 1.0245525369343915, 1.0317946328445455, 1.03940856110569, 1.047376302818062, 1.0556784337410363, 1.0642942558042776, 1.0732019540914886, 1.0823787687141548, 1.0918011729999788, 1.1014450515478988, 1.1112858735874591, 1.12129885860433, 1.1314591323593344, 1.141741872282558, 1.1521224418296807, 1.1625765138010558, 1.1730801828915784, 1.183610067900112, 1.1941434041078025, 1.2046581263588645, 1.2151329433601459, 1.2255474036721417, 1.2358819538026564, 1.246117988745344, 1.2562378952350581, 1.2662250879274466, 1.276064038655669, 1.2857402988779378, 1.2952405154074271, 1.3045524395133559, 1.3136649294987333, 1.3225679468945435, 1.3312525464598952 ], [ 0.9697775755323245, 0.9694752196564907, 0.9696091729438592, 0.9701902910623402, 0.9712279205515963, 0.9727296795106009, 0.9747012508668345, 0.9771462125749885, 0.9800659378548362, 0.9834595990027619, 0.9873242899782684, 0.9916552439867611, 0.9964460797145915, 1.0016889935153053, 1.0073748415530788, 1.0134931101457874, 1.0200318189485404, 1.0269774166345953, 1.0343147154317978, 1.0420268867864557, 1.0500955199296025, 1.0585007332947407, 1.0672213244447732, 1.076234944428182, 1.0855182847817633, 1.0950472682029415, 1.104797236499385, 1.1147431315307672, 1.1248596664622121, 1.135121485817558, 1.1455033136435828, 1.1559800896566856, 1.1665270936093706, 1.1771200583390586, 1.1877352720832974, 1.1983496706940857, 1.2089409203797197, 1.2194874915621565, 1.2299687243731054, 1.2403648862334122, 1.2506572218756473, 1.2608279960866902, 1.2708605293713038, 1.2807392266749544, 1.2904495992582696, 1.2999782797901411, 1.3093130307227128, 1.318442746029869, 1.3273574464294042, 1.336048268264929 ], [ 0.9714905305668847, 0.9712346248427146, 0.9714161029041231, 0.9720459569330779, 0.9731337424498321, 0.9746873620236509, 0.9767128481273312, 0.9792141642687435, 0.9821930593346967, 0.985649022435393, 0.9895793752211731, 0.9939794922190166, 0.9988430749831003, 1.004162371517023, 1.00992826312496, 1.016130215798087, 1.0227561561335028, 1.029792347516786, 1.0372233198632572, 1.0450318736206294, 1.0531991546500301, 1.0617047849376267, 1.070527031390745, 1.0796429968378645, 1.0890288207808179, 1.0986598809067705, 1.1085109892677567, 1.118556579255207, 1.1287708811085557, 1.1391280848255627, 1.1496024901089437, 1.1601686434867449, 1.1708014630597299, 1.1814763515093811, 1.1921692980862237, 1.2028569703163956, 1.2135167961347753, 1.2241270370917434, 1.2346668531971685, 1.2451163598710118, 1.2554566773709623, 1.2656699729727616, 1.2757394960924904, 1.2856496064694318, 1.2953857954764145, 1.3049347005958647, 1.314284113095687, 1.3234229789593492, 1.3323413931682837, 1.3410305874971162 ], [ 0.9735905528591469, 0.9733845877865636, 0.9736164753897959, 0.9742972943664026, 0.9754367838798048, 0.9770431442401616, 0.9791228223088794, 0.9816802879987693, 0.9847178299709117, 0.988235429425166, 0.9922307819600538, 0.9966994916817101, 1.0016353666473896, 1.007030676347336, 1.0128762597225254, 1.0191614727586333, 1.0258740501566752, 1.0329999731677812, 1.040523403102339, 1.0484266989429205, 1.0566905106669706, 1.0652939290243053, 1.0742146715497654, 1.0834292878911915, 1.0929133718398645, 1.1026417713448626, 1.1125887908544818, 1.122728382567245, 1.1330343247434267, 1.1434803862926735, 1.154040477556124, 1.1646887876476717, 1.1753999089870213, 1.1861489497998103, 1.1969116354145921, 1.2076643991795117, 1.2183844637713277, 1.229049913589836, 1.239639758831899, 1.250133991731406, 1.260513635339979, 1.270760785117395, 1.2808586435050149, 1.290791547577212, 1.3005449898084953, 1.3101056319625322, 1.3194613121047871, 1.328601044763541, 1.3375150143128494, 1.3461945617207622 ], [ 0.9760768782178841, 0.9759243480143027, 0.9762095470393035, 0.976943584284474, 0.9781363490814667, 0.97979634499086, 0.9819304960828513, 0.9845439107957279, 0.9876396108937245, 0.9912182864598326, 0.9952781901866472, 0.9998152582890063, 1.0048234133916027, 1.0102948768378788, 1.0162203274157637, 1.0225888733181963, 1.0293879211486556, 1.0366030496765075, 1.0442179546712747, 1.052214482387205, 1.0605727401139449, 1.0692712619821603, 1.078287208506965, 1.0875965826050318, 1.0971744496502511, 1.1069951532426638, 1.117032521470117, 1.1272600606477559, 1.1376511350268375, 1.1481791319658752, 1.158817612702577, 1.1695404492654826, 1.1803219482945428, 1.1911369626532968, 1.201960991746208, 1.2127702714287565, 1.223541854331377, 1.234253681324796, 1.2448846447429516, 1.2554146438594456, 1.265824632992099, 1.2760966624933652, 1.2862139127808596, 1.296160721475978, 1.3059226036566551, 1.3154862651956614, 1.3248396091516133, 1.3339717352055058, 1.3428729321901962, 1.3515346638378303 ], [ 0.9789478877125202, 0.9788523238923819, 0.9791938165788028, 0.9799834502595108, 0.9812312296233133, 0.9829459617450836, 0.9851351024408961, 0.9878045244457356, 0.9909581789750328, 0.9945976960722958, 0.9987220845265468, 1.003327717608052, 1.0084086216616268, 1.0139568642588368, 1.0199628048368883, 1.0264151306563811, 1.0333007610895186, 1.040604742271499, 1.0483102081183575, 1.0563984283042962, 1.0648489316568708, 1.0736396826969106, 1.0827472896244545, 1.0921472266174295, 1.1018140583072185, 1.1117216584510816, 1.1218434179075505, 1.1321524391790403, 1.1426217162426493, 1.153224299345035, 1.1639334450455034, 1.1747227521614492, 1.185566284477463, 1.19643868117385, 1.2073152559467195, 1.2181720857525145, 1.2289860900330474, 1.2397351011723374, 1.2503979268157348, 1.260954404552249, 1.2713854493293077, 1.2816730938444618, 1.291800522046113, 1.3017520957827056, 1.3115133745726748, 1.321071128430213, 1.3304133436776397, 1.339529221704068, 1.348409170690168, 1.3570447904049368 ], [ 0.9822013731516227, 0.9821664073564838, 0.9825673549734824, 0.9834152328135137, 0.9847201358066254, 0.9864911775672055, 0.9887363891867909, 0.99146250480531, 0.9946745598306254, 0.9983753133047744, 1.0025646976203597, 1.0072396086335933, 1.0123941527828197, 1.0180201275171905, 1.0241074050509449, 1.030644074536145, 1.03761641118968, 1.0450088061566047, 1.052803746595129, 1.0609818747169288, 1.0695221181225505, 1.0784018708713035, 1.0875972043862276, 1.0970830914983591, 1.106833631780958, 1.1168222704037298, 1.1270220057753697, 1.1374055833673358, 1.1479456745425, 1.158615040148258, 1.169386679227124, 1.1802339635564658, 1.1911307589274276, 1.2020515341601852, 1.2129714588619782, 1.223866490889855, 1.2347134543953584, 1.2454901092181343, 1.2561752122668046, 1.2667485713880131, 1.2771910920853078, 1.2874848173164306, 1.2976129604778417, 1.3075599315861108, 1.3173113565936938, 1.3268540897371, 1.336176218810846, 1.3452670632929529, 1.3541171653135287, 1.3627182735527412 ], [ 0.9858348407199043, 0.9858642988877451, 0.9863281753694355, 0.9872373971270098, 0.98860214364374, 0.9904318483266383, 0.9927351481201643, 0.9955196842955852, 0.9987916373818257, 1.0025549693594056, 1.0068106080141026, 1.0115560116273354, 1.016785347757116, 1.0224900616008579, 1.02865941267004, 1.0352807535667437, 1.0423395899629595, 1.0498195603220857, 1.057702439277502, 1.0659682055884894, 1.07459517450939, 1.0835601779308328, 1.0928387732395348, 1.1024054649981465, 1.1122339279053075, 1.1222972233648105, 1.1325680049485336, 1.1430187101359817, 1.1536217371406143, 1.1643496065737267, 1.1751751082965423, 1.1860714341765297, 1.1970122976662272, 1.2079720412134103, 1.2189257325221787, 1.22984925063876, 1.240719362750422, 1.251513792471003, 1.2622112802540884, 1.2727916364310579, 1.2832357872255928, 1.293525813955995, 1.3036449855102323, 1.3135777840728493, 1.3233099240068604, 1.3328283637507874, 1.342121310587288, 1.3511782181746912, 1.3599897768047458, 1.3685478964529307 ], [ 0.989845809490801, 0.989943827306275, 0.9904745717918286, 0.9914488836392296, 0.9928770415153214, 0.9947688181298069, 0.9971334635015908, 0.9999794991765595, 1.003314180183727, 1.0071425787551704, 1.0114665475944609, 1.0162840833774602, 1.0215894179835041, 1.0273736371214084, 1.0336253497910017, 1.0403311095631758, 1.0474755835187874, 1.055041597940653, 1.0630101737315913, 1.0713606055243374, 1.0800705944733517, 1.0891164242263836, 1.0984731641912042, 1.108114885623972, 1.1180148795282965, 1.1281458688108814, 1.1384802099292777, 1.1489900813158116, 1.15964765728731, 1.1704252671085729, 1.1812955394976479, 1.192231533245838, 1.2032068548431445, 1.2141957641024137, 1.2251732687939296, 1.236115209261994, 1.2469983339110426, 1.2578003663345685, 1.2685000647245692, 1.2790772740519623, 1.2895129713574132, 1.2997893043458253, 1.3098896233448507, 1.319798506577085, 1.3295017786142431, 1.3389865218370685, 1.3482410807204395, 1.3572550588014067, 1.3660193082653425, 1.3745259121971611 ], [ 0.994232049306509, 0.9944031814849157, 0.9950053297488666, 0.9960492750509639, 0.9975454189532033, 0.9995038795322335, 1.0019344809513728, 1.0048465088550447, 1.0082480878990026, 1.0121451500295586, 1.016540267751964, 1.0214318881372304, 1.026814330861471, 1.0326783941150668, 1.0390120981476199, 1.0458012263052443, 1.0530296083446888, 1.060679247084557, 1.068730398787062, 1.0771616708949554, 1.0859501580528022, 1.0950716138433527, 1.1045006470089858, 1.1142109300358092, 1.1241754101018864, 1.1343665151622346, 1.1447563504182188, 1.1553168823470816, 1.1660201088635944, 1.1768382151532624, 1.187743715360324, 1.1987095807229895, 1.2097093549891984, 1.220717258066058, 1.2317082788886928, 1.2426582584632124, 1.253543963960335, 1.2643431546246218, 1.2750346401289592, 1.2855983318542157, 1.2960152874197501, 1.306267748638738, 1.3163391729349543, 1.3262142581411043, 1.3358789605140036, 1.3453205057547222, 1.3545273928178931, 1.363489390335039, 1.3721975255604, 1.3806440658668588 ], [ 0.998991710178402, 0.9992409967680924, 0.9999197394714308, 1.0010386976768102, 1.0026084096952967, 1.004639306611605, 1.0071416797189192, 1.0101253719999133, 1.0135990743927374, 1.0175692357425796, 1.0220388669210334, 1.0270067298075054, 1.032467250981162, 1.038411054200267, 1.0448257040430509, 1.0516963216192057, 1.0590059706673756, 1.0667358726639824, 1.074865544824071, 1.0833729270734058, 1.0922345279560373, 1.1014255953909466, 1.110920306859987, 1.1206919702567222, 1.130713227084236, 1.140956251492268, 1.151392940616749, 1.161995093377448, 1.1727345761953754, 1.1835834750374092, 1.1945142338491708, 1.205499779867593, 1.2165136365678566, 1.227530025139471, 1.238523955435943, 1.2494713073232073, 1.2603489032830648, 1.2711345730209098, 1.2818072106940954, 1.292346825227453, 1.302734584025403, 1.3129528502357233, 1.3229852135774054, 1.3328165146249755, 1.3424328623529076, 1.3518216446948705, 1.3609715318683695, 1.369872472259054, 1.3785156807474703, 1.386893619487902 ], [ 1.004123320819354, 1.0044562841035385, 1.0052174198359392, 1.0064174989471342, 1.0080671828325665, 1.0101771308070613, 1.0127579248828897, 1.0158196922714298, 1.0193713452358704, 1.0234194920588928, 1.0279672905005168, 1.0330136567553931, 1.0385531130953647, 1.0445762117578838, 1.0510702169776582, 1.0580197421782382, 1.0654072111071078, 1.0732131561273213, 1.0814164204397454, 1.0899943239889145, 1.098922827585989, 1.108176708365247, 1.1177297472112604, 1.1275549234271351, 1.1376246106723258, 1.147910768858748, 1.1583851279910182, 1.1690193612675313, 1.1797852458891551, 1.19065481089608, 1.2016004719877926, 1.2125951537169857, 1.2236123997266732, 1.23462647185812, 1.245612439022068, 1.256546256720612, 1.2674048380476821, 1.2781661168960279, 1.2888091039693255, 1.2993139360495296, 1.3096619188115224, 1.3198355633205219, 1.329818616201739, 1.3395960833484297, 1.349154246942815, 1.3584806755135073, 1.3675642267496804, 1.3763950428377754, 1.3849645381799867, 1.3932653794876015 ], [ 1.0096256607235068, 1.0100482302225915, 1.0108980213248995, 1.012185829110155, 1.0139223883350261, 1.0161184541228483, 1.0187846767780417, 1.0219311704070555, 1.0255667349198943, 1.029697817712242, 1.0343274623651864, 1.03945457374481, 1.0450737203770002, 1.0511754432931568, 1.05774684109885, 1.0647721823342122, 1.072233405463255, 1.0801104825876446, 1.088381683054575, 1.0970237832197636, 1.106012255866802, 1.1153214567002356, 1.1249248136569645, 1.1347950183852658, 1.1449042166404466, 1.1552241938945662, 1.1657265529989242, 1.1763828816073048, 1.1871649079403586, 1.198044644213738, 1.2089945176282324, 1.21998748923721, 1.2309971612858661, 1.2419978737845596, 1.252964791155201, 1.2638739797964185, 1.274702477363104, 1.2854283544629947, 1.296030769348391, 1.3064900160347457, 1.316787566120173, 1.3269061044218693, 1.3368295583978456, 1.3465431211956287, 1.3560332680766638, 1.3652877659125462, 1.3742956754459306, 1.3830473460572235, 1.3915344028752608, 1.3997497262099865 ], [ 1.0154975257532581, 1.016015908980882, 1.016960877196514, 1.0183432334182538, 1.020173702965207, 1.022462975653578, 1.0252215359949968, 1.0284592042277152, 1.0321843794000227, 1.0364030855476505, 1.0411180349879625, 1.0463279639867995, 1.0520274085648118, 1.0582069104603227, 1.0648534947498531, 1.0719512264129223, 1.079481714451075, 1.087424516210955, 1.0957574508409436, 1.1044568512902488, 1.11349778251638, 1.1228542440575768, 1.1324993659294622, 1.1424056005759895, 1.152544910280925, 1.1628889481375422, 1.1734092305131092, 1.184077299324325, 1.1948648730016918, 1.205743985581347, 1.2166871138408288, 1.2276672927641088, 1.2386582198833758, 1.2496343492083692, 1.26057097553693, 1.2714443099525297, 1.2822315472730286, 1.2929109261274419, 1.3034617822174104, 1.3138645951764683, 1.324101029283495, 1.3341539681282717, 1.3440075431783143, 1.3536471560678338, 1.3630594943350878, 1.3722325402810667, 1.381155572619702, 1.3898191606394723, 1.398215150697018, 1.40633664500804 ], [ 1.0217374131230645, 1.022357936997865, 1.023404640872748, 1.0248882910240764, 1.0268194986425196, 1.0292087212304275, 1.0320660614849333, 1.0354008081945716, 1.0392207305505148, 1.0435312267544297, 1.0483345049607637, 1.05362899220902, 1.059409098800207, 1.0656653411543693, 1.072384717783295, 1.0795511950422179, 1.0871461887514307, 1.0951489839392312, 1.1035370815861205, 1.1122864854739227, 1.121371948241823, 1.1307671924418776, 1.1404451165403262, 1.150377990751506, 1.1605376442631448, 1.1708956436503752, 1.1814234615947616, 1.192092634970508, 1.2028749116090263, 1.2137423854075184, 1.2246676197984585, 1.2356237598943831, 1.246584633845838, 1.2575248440982887, 1.2684198493101693, 1.2792460377084711, 1.2899807926189608, 1.3006025508253543, 1.3110908542946107, 1.321426395664393, 1.3315910577330816, 1.3415679470351742, 1.3513414214343833, 1.3608971115393478, 1.3702219356496899, 1.3793041078877655, 1.3881331391683287, 1.3966998307096412, 1.404996259892905, 1.413015758424793 ], [ 1.0283431546361372, 1.0290720996925842, 1.0302269248364881, 1.0318182931774829, 1.0338565890793008, 1.0363518835405583, 1.0393137175516671, 1.042750665129541, 1.0466696973715353, 1.0510754390825245, 1.0559694620706679, 1.0613497650233295, 1.0672105381821588, 1.073542223710165, 1.080331803790278, 1.0875632126910721, 1.095217779288504, 1.103274641340735, 1.1117111081382132, 1.1205029714062666, 1.1296247744916865, 1.1390500513153183, 1.1487515440810772, 1.158701405403266, 1.1688713877742967, 1.1792330215093663, 1.1897577813589717, 1.2004172416193615, 1.211183219556571, 1.2220279071170288, 1.2329239911138243, 1.2438447622886424, 1.25476421382095, 1.2656571299746922, 1.276499165635025, 1.287266917495408, 1.297937987614942, 1.3084910399839984, 1.3189058506202034, 1.329163351577518, 1.3392456690965746, 1.349136155966938, 1.3588194180223128, 1.3682813345612175, 1.3775090723890009, 1.386491093123976, 1.3952171534082045, 1.4036782977152764, 1.4118668435523969, 1.4197763590041088 ], [ 1.035311529106321, 1.0361549722307355, 1.0374239517105954, 1.0391289487607878, 1.0412800125095485, 1.0438866977629901, 1.0469578470801686, 1.050501190776243, 1.0545227888611373, 1.0590263930670547, 1.0640128435151832, 1.0694796154238648, 1.075420592945633, 1.0818260854808783, 1.0886830441704347, 1.095975404938489, 1.1036844841186497, 1.1117893725486192, 1.1202672989668845, 1.1290939533389814, 1.138243772167686, 1.1476901922744367, 1.1574058797963758, 1.1673629396368894, 1.1775331087974013, 1.1878879355540648, 1.198398945489251, 1.2090377948804334, 1.2197764117586505, 1.2305871249482865, 1.2414427814939517, 1.2523168530037878, 1.2631835315518942, 1.2740178158644564, 1.2847955885547617, 1.29549368516802, 1.3060899557508399, 1.31656331957555, 1.3268938135333666, 1.337062634571239, 1.3470521763932248, 1.3568460604901282, 1.3664291614121507, 1.3757876260708706, 1.3849088867605024, 1.39378166753557, 1.4023959835798379, 1.4107431332536768, 1.4188156826122913, 1.4266074423376969 ], [ 1.0426378850149864, 1.0436015601796407, 1.0449902318107684, 1.0468141173132186, 1.0490828351074932, 1.0518053237489677, 1.05498963332545, 1.0586425701575273, 1.062769217160211, 1.0673723938897992, 1.0724521463125123, 1.078005355681969, 1.0840255280179725, 1.0905027816907111, 1.0974240081463218, 1.1047731544395145, 1.1125315705904608, 1.120678374799339, 1.1291908061067384, 1.1380445496103893, 1.1472140301878162, 1.1566726765064015, 1.1663931592478431, 1.1763476075370787, 1.1865078067693822, 1.1968453800898033, 1.2073319550180734, 1.2179393162129122, 1.2286395451035452, 1.2394051470183385, 1.2502091664417228, 1.2610252910803372, 1.271827945477052, 1.2825923749552333, 1.2932947206909255, 1.3039120866906595, 1.3144225993969902, 1.3248054605542898, 1.3350409938487555, 1.3451106856961421, 1.3549972203970235, 1.3646845097224902, 1.3741577168449832, 1.3834032744007705, 1.392408896375362, 1.4011635834499985, 1.4096576214453869, 1.4178825725508644, 1.4258312591313167, 1.4334977400536162 ], [ 1.0503158026929087, 1.051404984246544, 1.0529182851400019, 1.0548655809211227, 1.0572559813779956, 1.0600977386040233, 1.0633980541466401, 1.0671627704982034, 1.0713959655654473, 1.0760995010345518, 1.081272594862104, 1.0869114875070687, 1.093009251521503, 1.099555762586096, 1.1065378185615333, 1.1139393714213994, 1.1217418290452148, 1.1299243877175258, 1.1384643664584604, 1.1473375257369764, 1.1565183624131457, 1.1659803788327636, 1.1756963271940235, 1.1856384315176258, 1.1957785896608606, 1.2060885574615006, 1.2165401166474312, 1.2271052277745076, 1.2377561692073284, 1.2484656630249413, 1.2592069886838182, 1.269954085267139, 1.2806816431642, 1.291365186032957, 1.3019811438895532, 1.3125069181322402, 1.3229209392402652, 1.3332027177919594, 1.3433328893243632, 1.353293253413786, 1.3630668072028769, 1.372637773443162, 1.38199162297414, 1.3911150914333177, 1.3999961898963993, 1.4086242090946008, 1.4169897168535428, 1.4250845484487347, 1.4329017896753113, 1.4404357525758555 ], [ 1.0583368228141528, 1.0595562324442611, 1.0611984276059934, 1.063272872239962, 1.0657881082080751, 1.0687516577210263, 1.0721698489541664, 1.0760475524913753, 1.0803878428879776, 1.0851916248808713, 1.0904572786648625, 1.0961803786287359, 1.1023535258355532, 1.1089663118499484, 1.116005408004755, 1.1234547565881128, 1.1312958320116224, 1.1395079402381674, 1.1480685305899827, 1.1569535020069754, 1.1661374932552764, 1.1755941521990703, 1.185296382827026, 1.1952165706404008, 1.2053267878137017, 1.2155989797186217, 1.2260051343020406, 1.2365174356300075, 1.2471084027496462, 1.25775101491079, 1.2684188241285013, 1.2790860560397723, 1.2897276999945884, 1.3003195893063912, 1.3108384725578204, 1.321262076806206, 1.331569163455963, 1.3417395774620677, 1.3517542904019815, 1.3615954378091972, 1.3712463510061261, 1.3806915835182463, 1.3899169320044094, 1.3989094515122558, 1.4076574647738196, 1.416150565204089, 1.4243796132620528, 1.432336725882733, 1.4400152587874426, 1.4474097816218603 ], [ 1.0666902643256588, 1.0680440007225243, 1.0698186405695944, 1.072023176771939, 1.0746655410922121, 1.0777525042900806, 1.0812895201892248, 1.0852805028472414, 1.0897275469888725, 1.0946306216979578, 1.0999872792079444, 1.1057924212949684, 1.1120381560190222, 1.1187137612413474, 1.1258057537606068, 1.1332980487704782, 1.1411721862836337, 1.1494075993665045, 1.1579819018707485, 1.1668711785617867, 1.1760502661612708, 1.1854930186165609, 1.1951725534104065, 1.2050614779639013, 1.2151320964435002, 1.2253565978863508, 1.2357072267832776, 1.246156437297561, 1.2566770322651597, 1.2672422880764642, 1.2778260665026888, 1.288402914503853, 1.2989481530330373, 1.309437955823808, 1.319849419106142, 1.3301606231337366, 1.3403506863208847, 1.3503998126776773, 1.3602893331022734, 1.3700017409426317, 1.3795207220845789, 1.3888311796673196, 1.3979192533819729, 1.4067723331839992, 1.415379067157207, 1.4237293632152552, 1.4318143843217457, 1.4396265369564487, 1.447159452649425, 1.454407962541074 ], [ 1.0753631475959822, 1.0768546368290302, 1.0787645375896233, 1.0811013229241844, 1.0838722864870733, 1.087083442276255, 1.0907393855234169, 1.0948431052175354, 1.0993957549366467, 1.1043964042209868, 1.1098418023263434, 1.1157261874508493, 1.122041167963503, 1.128775690470311, 1.1359160964034691, 1.143446257567217, 1.1513477738084725, 1.159600213192343, 1.1681813759640935, 1.1770675667538366, 1.1862338635180543, 1.19565437558032, 1.205302486285871, 1.2151510780647203, 1.2251727391919127, 1.2353399524267714, 1.2456252662014968, 1.2560014492721034, 1.2664416298526993, 1.276919420296177, 1.2874090283962336, 1.2978853563830337, 1.3083240886701395, 1.318701769382983, 1.3289958706532892, 1.3391848525971999, 1.3492482158053634, 1.3591665470606817, 1.3689215588674075, 1.3784961232279414, 1.3878742999484717, 1.3970413595999567, 1.4059838011168675, 1.4146893638928832, 1.4231470341408625, 1.4313470452320982, 1.4392808717239693, 1.4469412168274167, 1.4543219931548272, 1.4614182967174512 ], [ 1.0843402259773258, 1.085972190205676, 1.0880194311953353, 1.0904898632419133, 1.0933901247624418, 1.0967254787279486, 1.100499688112022, 1.104714858171381, 1.1093712495631731, 1.1144670783823178, 1.1199983270360871, 1.125958591532706, 1.1323389865158147, 1.1391281210700759, 1.1463121485214567, 1.1538748845791795, 1.1617979818592734, 1.1700611456859487, 1.1786423757803208, 1.1875182201660466, 1.1966640303760525, 1.2060542100210838, 1.2156624514578804, 1.225461957430153, 1.2354256461131197, 1.245526339048384, 1.2557369321306995, 1.26603055021846, 1.2763806861797162, 1.286761325322138, 1.2971470562296588, 1.3075131690640944, 1.3178357423974438, 1.3280917196243112, 1.3382589759626438, 1.3483163769865905, 1.3582438295455534, 1.3680223258111208, 1.3776339810617682, 1.3870620656685264, 1.3962910315911876, 1.4053065335417079, 1.4140954448295353, 1.422645867782248, 1.4309471385440011, 1.438989826001916, 1.4467657245822623, 1.454267840696661, 1.4614903727008857, 1.4684286843491807 ], [ 1.0936041139931476, 1.0953785559912175, 1.0975644886450446, 1.1001692375324843, 1.1031987767654348, 1.1066576309240348, 1.1105487628297033, 1.1148734403749043, 1.1196310845522366, 1.124819110044613, 1.130432776079803, 1.1364650671091199, 1.1429066202760023, 1.1497457108162943, 1.1569682992707186, 1.164558137452103, 1.172496924779714, 1.1807645034693017, 1.1893390801070898, 1.1981974618626594, 1.2073152973604058, 1.2166673144224716, 1.2262275490690306, 1.2359695620492692, 1.2458666406766137, 1.2558919848553416, 1.266018876970235, 1.2762208358432294, 1.2864717553105651, 1.296746028198917, 1.3070186566195463, 1.3172653495809086, 1.3274626089591468, 1.3375878048689356, 1.3476192414490171, 1.3575362140198557, 1.3673190584862858, 1.3769491937491638, 1.3864091577611493, 1.3956826377181244, 1.4047544947264818, 1.4136107831369733, 1.4222387645965964, 1.4306269167505123, 1.4387649364368653, 1.4466437371640686, 1.4542554406496908, 1.461593362233367, 1.468651990051277, 1.4754269579705803 ], [ 1.1031354890656158, 1.1050536900061068, 1.107378954917075, 1.1101179986211476, 1.1132761278775447, 1.1168571455578797, 1.120863248876753, 1.125294916285246, 1.1301507839944813, 1.135427519988776, 1.1411197084337217, 1.1472197592479865, 1.1537178561474666, 1.1606019524548208, 1.1678578186343895, 1.1754691401418644, 1.1834176597691197, 1.1916833557667161, 1.2002446457380556, 1.2090786063790206, 1.218161200170358, 1.227467501677641, 1.236971917810101, 1.2466483979884282, 1.2564706315389969, 1.2664122307250134, 1.2764468986541044, 1.2865485819094282, 1.2966916081816922, 1.3068508094789941, 1.3170016316931132, 1.3271202314303585, 1.3371835610897218, 1.3471694431994696, 1.357056635014, 1.3668248843285415, 1.3764549773941088, 1.3859287797138067, 1.3952292703781708, 1.404340570458622, 1.413247965831557, 1.4219379246600115, 1.430398109623961, 1.4386173848740935, 1.4465858175953121, 1.4542946740129756, 1.4617364096613654, 1.4689046537616193, 1.475794187623839, 1.4824009170885617 ], [ 1.1129133400710336, 1.1149758680929553, 1.117440417626585, 1.120313077748322, 1.1235984895112836, 1.1272997530851991, 1.1314183350307934, 1.135953971600963, 1.1409045683771923, 1.1462661015899325, 1.1520325303963208, 1.1581957311126159, 1.1647454636787709, 1.1716693779141762, 1.178953063245082, 1.1865801414687054, 1.1945323985364908, 1.2027899487678593, 1.211331423511114, 1.2201341759539794, 1.2291744943017702, 1.2384278165795104, 1.247868941595266, 1.2574722319088945, 1.2672118058483304, 1.2770617166353035, 1.2869961175063194, 1.2969894123549288, 1.3070163919042046, 1.3170523557728568, 1.3270732210528489, 1.3370556181897855, 1.346976975068458, 1.3568155902626577, 1.3665506964211467, 1.3761625147338739, 1.3856323013612102, 1.3949423866172312, 1.4040762075836493, 1.4130183346993386, 1.42175449273009, 1.4302715763829261, 1.4385576606977943, 1.4466020062362253, 1.4543950589997157, 1.4619284449562056, 1.4691949590368791, 1.4761885484872126, 1.4829042905152026, 1.489338364269884 ], [ 1.1229152390918273, 1.1251219664139567, 1.1277250914119235, 1.1307300686919601, 1.1341408791104668, 1.1379599405504564, 1.1421880232258088, 1.146824166519286, 1.1518655973528513, 1.157307653693402, 1.163143719774189, 1.1693651811059884, 1.175961407081274, 1.1829197671662075, 1.1902256838816037, 1.1978627226507153, 1.2058127157242235, 1.21405591518379, 1.222571168660512, 1.2313361108743175, 1.2403273642652686, 1.2495207426414985, 1.2588914527037767, 1.2684142893450854, 1.278063821640629, 1.2878145673611814, 1.2976411546250168, 1.3075184699450655, 1.3174217924349803, 1.3273269143298743, 1.3372102482708357, 1.3470489220147093, 1.3568208613743888, 1.3665048622809974, 1.3760806528949487, 1.3855289466851013, 1.394831487348713, 1.403971086367183, 1.4129316538878927, 1.4216982235005886, 1.4302569713439017, 1.438595229843619, 1.4467014962582276, 1.4545654360973332, 1.4621778813932782, 1.4695308237514253, 1.4766174020849632, 1.4834318849556938, 1.4899696474927808, 1.4962271429406084 ], [ 1.133117618833988, 1.135467745503539, 1.1382081051362383, 1.1413435147023812, 1.1448773036861744, 1.1488112290763666, 1.1531453979840454, 1.1578781958111701, 1.1630062198699984, 1.1685242208741409, 1.1744250569220218, 1.1806996658184847, 1.18733706155362, 1.1943243595714803, 1.2016468334630555, 1.2092880033674087, 1.2172297540990862, 1.2254524791668477, 1.2339352455902863, 1.2426559737956355, 1.2515916268120761, 1.2607184033646819, 1.2700119301192712, 1.2794474491404355, 1.2889999974652482, 1.2986445764984815, 1.308356309655045, 1.3181105872916246, 1.3278831984812285, 1.3376504495941812, 1.3473892699708163, 1.3570773052121718, 1.3666929987886662, 1.3762156627789333, 1.385625538610378, 1.394903848685323, 1.4040328397477424, 1.4129958187821083, 1.4217771821441665, 1.4303624385121683, 1.4387382261231536, 1.446892324632435, 1.4548136618141752, 1.4624923152147842, 1.4699195087874999, 1.4770876044808419, 1.4839900887306647, 1.4906215538149152, 1.4969776740720153, 1.5030551770522242 ], [ 1.1434960442027045, 1.1459881269214698, 1.1488637810321585, 1.1521271876023924, 1.1557810364773833, 1.1598264459388568, 1.1642628921176852, 1.1690881468096663, 1.1742982236099084, 1.1798873340018439, 1.1858478566184811, 1.1921703238498358, 1.1988434300536086, 1.2058540648510343, 1.2131873735650414, 1.220826845099408, 1.2287544257845675, 1.236950656190254, 1.24539482679011, 1.2540651477206914, 1.2629389276850431, 1.2719927572304535, 1.2812026920778181, 1.2905444327913729, 1.299993497761038, 1.3095253871577626, 1.3191157361677126, 1.3287404563888165, 1.338375864770501, 1.3479987998923946, 1.3575867257142646, 1.367117823192131, 1.3765710703522038, 1.3859263115501463, 1.395164316724427, 1.4042668314849005, 1.4132166188669766, 1.4219974935337159, 1.4305943491308204, 1.438993179399177, 1.4471810935365232, 1.4551463261812252, 1.4628782422771325, 1.4703673369768353, 1.4776052306588972, 1.4845846590784881, 1.491299458644256, 1.49774454681766, 1.5039158976640428, 1.509810512642374 ], [ 1.154025471138571, 1.1566574559289444, 1.1596658993586535, 1.1630543526089898, 1.1668248801854093, 1.1709779845674475, 1.1755125420173373, 1.1804257487526284, 1.1857130774642333, 1.191368245302586, 1.197383195557745, 1.2037480959698823, 1.2104513567190631, 1.2174796706299935, 1.22481807710927, 1.232450050019203, 1.2403576083148964, 1.2485214470325674, 1.2569210852562966, 1.2655350270778631, 1.274340931303482, 1.2833157857106747, 1.2924360819494114, 1.3016779876365703, 1.3110175127395842, 1.320430667925438, 1.3298936131198822, 1.3393827950509367, 1.3488750730233536, 1.3583478325785494, 1.3677790870361024, 1.3771475671888482, 1.3864327996376797, 1.3956151744073748, 1.4046760025856488, 1.4135975647793573, 1.4223631511880783, 1.430957094064043, 1.4393647932636562, 1.447572735508875, 1.4555685078735143, 1.4633408059005257, 1.4708794366483593, 1.4781753168678176, 1.4852204664306865, 1.4920079970750066, 1.498532096501503, 1.5047880078533413, 1.5107720046357855, 1.5164813611797314 ], [ 1.1646804889049827, 1.1674497466442357, 1.1705879451138923, 1.17409801533559, 1.17798141302727, 1.1822380484420394, 1.18686622824098, 1.1918626090186275, 1.1972221625429156, 1.2029381534993524, 1.2090021312701327, 1.2154039377799897, 1.2221317335368553, 1.2291720436440547, 1.2365098248246142, 1.2441285535149182, 1.2520103340186979, 1.2601360247153173, 1.2684853795062054, 1.2770372011246875, 1.285769502649142, 1.2946596735268976, 1.303684646594198, 1.312821062910464, 1.3220454316584147, 1.3313342828446642, 1.3406643110306282, 1.3500125088006387, 1.3593562891150734, 1.3686735960890284, 1.3779430040755698, 1.387143805214859, 1.3962560858359954, 1.4052607922689673, 1.4141397867420036, 1.4228758941081376, 1.4314529401683427, 1.4398557823427798, 1.4480703333926912, 1.456083578821068, 1.4638835884883141, 1.471459522879028, 1.4788016343551247, 1.4859012636383546, 1.4927508316874594, 1.4993438270778792, 1.5056747889586106, 1.5117392856525664, 1.5175338889829095, 1.5230561444453636 ], [ 1.1754355439433313, 1.1783389080028444, 1.1816033351894404, 1.1852311492752607, 1.1892232157000926, 1.1935788766880044, 1.198295898886666, 1.203370433447637, 1.20879698868492, 1.2145684158858554, 1.2206759093211401, 1.2271090218301028, 1.2338556974176833, 1.2409023220429924, 1.248233793236698, 1.2558336084421988, 1.2636839711492316, 1.2717659130911092, 1.2800594301023367, 1.2885436287405616, 1.2971968804935614, 1.305996980311842, 1.3149213063073413, 1.3239469776991135, 1.333051008427217, 1.342210454256533, 1.351402551618675, 1.36060484686612, 1.3697953150186515, 1.3789524674540383, 1.3880554483249943, 1.3970841197665815, 1.406019136190809, 1.4148420081467954, 1.4235351563563654, 1.4320819566189265, 1.4404667763180732, 1.4486750032618123, 1.456693067553323, 1.4645084571273794, 1.4721097275069073, 1.47948650624306, 1.4866294924085328, 1.493530451426075, 1.5001822054387473, 1.5065786193706456, 1.5127145827902855, 1.518585987675179, 1.5241897021843958, 1.529523540574183 ], [ 1.186265144567073, 1.1892989499521607, 1.1926856254433027, 1.1964269031769748, 1.2005230785005268, 1.2049729503648818, 1.2097737744484958, 1.2149212291415927, 1.2204093945905743, 1.2262307452358459, 1.2323761565537217, 1.2388349269073857, 1.245594815429688, 1.2526420966572038, 1.2599616322229512, 1.2675369593472379, 1.2753503952221628, 1.2833831557484934, 1.2916154865270129, 1.3000268035812022, 1.308595841021831, 1.3173008027611266, 1.326119515431349, 1.3350295798344471, 1.3440085185168107, 1.353033917393367, 1.3620835597115244, 1.3711355510227115, 1.3801684341996519, 1.389161293886104, 1.3980938500826539, 1.4069465408503619, 1.4157005943492083, 1.4243380906171295, 1.4328420136380033, 1.441196294343466, 1.4493858452460455, 1.4573965874143, 1.465215470478975, 1.4728304863099737, 1.4802306769338622, 1.4874061371797167, 1.494348012454454, 1.5010484919657179, 1.507500797637072, 1.51369916890221, 1.5196388435255437, 1.5253160345774561, 1.5307279036937738, 1.5358725307682388 ], [ 1.1971440464463, 1.2003041699499013, 1.2038086977980058, 1.2076587883756063, 1.2118541885350205, 1.2163931791908422, 1.221272533652883, 1.2264874889699222, 1.232031730530025, 1.2378973902580797, 1.2440750588876492, 1.2505538128753806, 1.2573212565032386, 1.2643635795392596, 1.271665630501762, 1.279211005129646, 1.2869821491544404, 1.2949604739598903, 1.3031264832576424, 1.311459908545417, 1.3199398508731925, 1.3285449263323827, 1.3372534126962514, 1.3460433947627537, 1.3548929061608435, 1.363780065654178, 1.3726832062904284, 1.3815809960770167, 1.3904525492007878, 1.3992775271322746, 1.4080362292575734, 1.4167096729513393, 1.425279663238463, 1.4337288523856333, 1.442040789914282, 1.4501999636332572, 1.45819183235462, 1.4660028509811713, 1.4736204886455506, 1.4810332405426927, 1.4882306340383042, 1.495203229562311, 1.5019426167168974, 1.5084414059499567, 1.5146932160738478, 1.5206926578512063, 1.5264353138272821, 1.531917714564853, 1.5371373114319122, 1.542092446103655 ], [ 1.2080474192295807, 1.2113293202001474, 1.2149469278259146, 1.2189008465067515, 1.2231902973618016, 1.2278130688978488, 1.2327654802782875, 1.2380423575589719, 1.2436370231674094, 1.2495412989028973, 1.2557455227720102, 1.2622385799885318, 1.269007948408619, 1.2760397585110506, 1.2833188677651632, 1.2908289488752716, 1.2985525909862183, 1.3064714125235255, 1.3145661839660794, 1.3228169585434548, 1.3312032086375536, 1.3397039655586274, 1.3482979603601137, 1.3569637634436988, 1.3656799208725832, 1.3744250855377995, 1.3831781415917244, 1.3919183208572157, 1.400625310224768, 1.4092793493494724, 1.4178613182450286, 1.4263528146331854, 1.434736221137699, 1.4429947626070738, 1.451112554006132, 1.4590746394318017, 1.4668670228833713, 1.4744766914542287, 1.4818916316140602, 1.4891008392236877, 1.4960943238753086, 1.5028631080853225, 1.5093992217947403, 1.5156956925571303, 1.5217465317261778, 1.5275467168960835, 1.5330921708040641, 1.5383797368758536, 1.5434071515836194, 1.5481730137891097 ], [ 1.2189509948793065, 1.2223497562655954, 1.2260753334815866, 1.2301277982441186, 1.234505869636873, 1.2392068696824177, 1.2442266912763273, 1.249559778905058, 1.255199122442283, 1.2611362642559922, 1.267361319827301, 1.2738630120406411, 1.2806287192185493, 1.2876445368193825, 1.2948953524880134, 1.3023649338589534, 1.3100360281832124, 1.3178904725155625, 1.3259093128890422, 1.3340729306464767, 1.3423611739137513, 1.3507534920973876, 1.3592290712721942, 1.3677669683878833, 1.376346242356713, 1.3849460802744558, 1.3935459172593745, 1.4021255486541357, 1.410665233610274, 1.4191457893515622, 1.4275486756805669, 1.4358560695438092, 1.4440509296956638, 1.4521170516964956, 1.4600391136390183, 1.4678027131190814, 1.4753943960498468, 1.4828016779649416, 1.4900130584680638, 1.4970180294697681, 1.5038070778115786, 1.5103716828203704, 1.5167043092694066, 1.5227983961525164, 1.5286483416116994, 1.534249484300035, 1.5395980814159356, 1.54469128361219, 1.5495271069665377, 1.5541044021970742 ], [ 1.2298311984270796, 1.2333415678081066, 1.2371697057479145, 1.2413151738103958, 1.2457762134671886, 1.2505497063751398, 1.2556311467069574, 1.2610146259852328, 1.26669283072166, 1.2726570530598582, 1.2788972145428943, 1.285401903045631, 1.292158422804456, 1.2991528573246751, 1.3063701447434832, 1.3137941649816842, 1.321407837745091, 1.3291932301606986, 1.3371316725751803, 1.3452038808273181, 1.3533900831459613, 1.3616701497330619, 1.370023723069473, 1.378430347027746, 1.3868695929851207, 1.3953211812906934, 1.4037650966427142, 1.4121816961632971, 1.4205518092062963, 1.428856828189673, 1.4370787899948567, 1.445200447715442, 1.453205332755918, 1.4610778074739896, 1.468803108720384, 1.4763673827566113, 1.483757712120497, 1.4909621350641526, 1.4979696582098085, 1.5047702630609379, 1.5113549069739751, 1.5177155191462006, 1.5238449921146155, 1.5297371691951225, 1.5353868282272711, 1.5407896619320876, 1.5459422551425943, 1.5508420591313314, 1.555487363236612, 1.5598772639804666 ], [ 1.2406652619299177, 1.244281692270743, 1.2482067220196822, 1.2524394260728051, 1.2569775932470384, 1.2618176910458037, 1.2669548421212964, 1.2723828128933536, 1.278094014624548, 1.284079517123731, 1.2903290751414982, 1.2968311674143667, 1.3035730481910164, 1.3105408109234142, 1.3177194636213025, 1.3250930151567206, 1.332644571574742, 1.3403564412355773, 1.348210247397272, 1.3561870466654318, 1.364267451599516, 1.3724317556832366, 1.3806600588435873, 1.38893239173917, 1.3972288371286044, 1.4055296467679717, 1.4138153524635575, 1.4220668701121677, 1.4302655957878383, 1.438393493168641, 1.4464331718339691, 1.4543679561898228, 1.4621819449916047, 1.4698600616225757, 1.477388095447185, 1.4847527346871185, 1.4919415913634175, 1.4989432189085359, 1.5057471230813504, 1.5123437668176065, 1.518724569624064, 1.5248819020814572, 1.5308090759664768, 1.5365003304413893, 1.5419508146985097, 1.5471565673892451, 1.5521144931185809, 1.556822336247279, 1.5612786522178355, 1.5654827766050536 ], [ 1.2514313224486193, 1.2551480123466374, 1.2591640430773092, 1.263478027067206, 1.2680873257954242, 1.272988018818318, 1.2781748841040372, 1.2836413901325032, 1.289379700052201, 1.2953806880435446, 1.3016339679111029, 1.308127933802739, 1.3148498128208441, 1.321785729141136, 1.3289207790837818, 1.3362391163937146, 1.343724046788011, 1.35135813063119, 1.359123292416205, 1.3670009355732597, 1.3749720610111542, 1.383017387723785, 1.3911174737728635, 1.3992528359867134, 1.4074040667915164, 1.4155519467121962, 1.4236775512362623, 1.431762350920084, 1.439788303822831, 1.4477379395713743, 1.4555944345805976, 1.4633416781699726, 1.4709643295210737, 1.478447865605064, 1.4857786203689725, 1.4929438155998769, 1.4999315839850857, 1.506730984952593, 1.5133320139114388, 1.5197256055183477, 1.5259036315791545, 1.531858894157294, 1.5375851144114037, 1.5430769176270775, 1.548329814848231, 1.5533401814574717, 1.5581052330045715, 1.562622998541666, 1.566892291693303, 1.5709126796700683 ], [ 1.2621085048919838, 1.265919438096692, 1.2700203945185493, 1.2744095488122678, 1.2790838606372343, 1.2840390477066144, 1.2892695697412389, 1.29476862377018, 1.3005281510564304, 1.306538855777554, 1.312790235453256, 1.3192706229771822, 1.3259672399719802, 1.332866261038327, 1.3399528883088907, 1.3472114355477698, 1.3546254208611472, 1.3621776669140575, 1.3698504073905604, 1.3776253983013027, 1.385484032640809, 1.3934074568348507, 1.4013766873980473, 1.409372726246626, 1.4173766731779243, 1.4253698341344097, 1.433333824010344, 1.4412506629269997, 1.4491028650916575, 1.4568735195572042, 1.4645463624071806, 1.4721058400961078, 1.4795371638708292, 1.4868263553780747, 1.493960283720692, 1.5009266943558566, 1.5077142303297983, 1.5143124464143258, 1.5207118167507148, 1.5269037366196587, 1.5328805189440802, 1.5386353861010573, 1.544162457574196, 1.5494567339240908, 1.5545140774981863, 1.5593311902455191, 1.5639055889517355, 1.5682355781669028, 1.572320221065215, 1.5761593084521972 ], [ 1.2726769905820439, 1.2765759745860596, 1.280755633524144, 1.2852137292865007, 1.2899468452890126, 1.2949503633104402, 1.3002184508203936, 1.3057440592197032, 1.3115189332553705, 1.3175336317219144, 1.3237775594179224, 1.3302390101872976, 1.3369052207336531, 1.3437624347510202, 1.350795976762483, 1.3579903349021658, 1.3653292517195565, 1.3727958219344554, 1.3803725959337942, 1.3880416876855572, 1.3957848856572603, 1.4035837652724403, 1.411419801421265, 1.4192744795633123, 1.4271294040196354, 1.4349664021466342, 1.4427676232106668, 1.4505156309359013, 1.4581934888715544, 1.4657848379130174, 1.4732739655059008, 1.4806458662571518, 1.4878862938648891, 1.4949818044524683, 1.501919791546611, 1.5086885130695276, 1.515277110817578, 1.5216756229729511, 1.5278749902395536, 1.5338670562121726, 1.5396445625822524, 1.5452011397576693, 1.550531293433918, 1.5556303876045154, 1.5604946244439333, 1.5651210214426006, 1.569507386122804, 1.5736522886202438, 1.5775550323799912, 1.5812156231884276 ], [ 1.2831180724011289, 1.2870987759140604, 1.2913508018384519, 1.2958715244493433, 1.3006571764239332, 1.3057028292324937, 1.3110023836033213, 1.3165485704594158, 1.3223329625702136, 1.3283459970133833, 1.3345770083977333, 1.3410142726574954, 1.3476450610874702, 1.3544557041468752, 1.3614316644152158, 1.3685576179390897, 1.3758175430665194, 1.3831948157308886, 1.390672310025536, 1.3982325028081046, 1.40585758099745, 1.4135295501786256, 1.4212303431173259, 1.4289419268049133, 1.4366464067090514, 1.4443261269911978, 1.4519637655678181, 1.4595424230328906, 1.4670457046202872, 1.4744577945600226, 1.481763522365626, 1.4889484207747303, 1.4959987752445036, 1.5029016650714366, 1.5096449963556422, 1.5162175271583864, 1.5226088853046618, 1.5288095793585663, 1.534811003347655, 1.5406054358344607, 1.546186033932552, 1.5515468228433353, 1.5566826814543389, 1.561589324493491, 1.566263281682502, 1.5707018742798344, 1.5749031893534182, 1.578866052078323, 1.5825899963164436, 1.5860752337052886 ], [ 1.2934141973840427, 1.2974701865138, 1.301788165849779, 1.3063651471946063, 1.3111970378034516, 1.3162786240982944, 1.3216035650419702, 1.3271643955425783, 1.3329525401119842, 1.3389583368573497, 1.3451710717423413, 1.3515790229155238, 1.3581695147646582, 1.364928981217893, 1.3718430376756319, 1.3788965608214232, 1.386073775429925, 1.3933583471683382, 1.4007334802790212, 1.4081820189413798, 1.4156865510431627, 1.4232295130507375, 1.4307932946559643, 1.4383603418962096, 1.4459132574935916, 1.453434897238656, 1.4609084613499332, 1.4683175798711234, 1.475646391317114, 1.4828796139441696, 1.4900026091922762, 1.4970014370229947, 1.50386290304748, 1.5105745975013196, 1.5171249262691426, 1.5235031342881786, 1.5296993217629111, 1.5357044536999236, 1.5415103633233247, 1.54710974995674, 1.552496171961125, 1.5576640353010687, 1.562608578280805, 1.5673258529484992, 1.5718127036189187, 1.57606674291323, 1.5800863256656532, 1.5838705210004962, 1.5874190828440808, 1.5907324191033911 ], [ 1.3035489976184191, 1.3076737705986792, 1.312051244658009, 1.316678094131044, 1.3215499258740344, 1.3266612660781683, 1.33200555633356, 1.3375751592867924, 1.3433613740950732, 1.3493544617405093, 1.3555436801296774, 1.3619173287672217, 1.3684628026573429, 1.3751666549537487, 1.3820146677480654, 1.3889919302594402, 1.39608292356752, 1.4032716109197998, 1.4105415325462274, 1.4178759038334041, 1.4252577156508104, 1.4326698355856025, 1.440095108833264, 1.4475164575095314, 1.4549169771951926, 1.4622800295986427, 1.469589330319627, 1.47682903081856, 1.4839837938354767, 1.4910388616564079, 1.4979801167879079, 1.5047941347667382, 1.511468228995035, 1.5179904876473351, 1.5243498028368867, 1.5305358923527579, 1.5365393143805468, 1.5423514756975039, 1.5479646338856532, 1.5533718941354315, 1.558567201219073, 1.5635453272004725, 1.568301855420749, 1.572833161259461, 1.5771363901257842, 1.5812094330847846, 1.5850509004753919, 1.5886600938308493, 1.5920369763721507, 1.5951821423105417 ], [ 1.3135073103142467, 1.317694330632016, 1.322124827018382, 1.3267951610894204, 1.331700663937474, 1.3368356258259244, 1.3421932947335375, 1.3477658840628322, 1.3535445896949307, 1.3595196164395067, 1.3656802137953175, 1.3720147208044913, 1.3785106196534005, 1.385154597544982, 1.3919326162427572, 1.398829988567291, 1.4058314610132174, 1.4129213015529463, 1.4200833916033542, 1.4273013210592844, 1.4345584852438664, 1.441838182594232, 1.4491237118940385, 1.4563984678818978, 1.463646034108089, 1.4708502719808534, 1.477995405034878, 1.4850660975678731, 1.492047526921878, 1.498925448830441, 1.505686255406435, 1.5123170255031169, 1.518805567336642, 1.525140453407697, 1.5313110478963234, 1.537307526824433, 1.54312089138048, 1.5487429748783903, 1.5541664438770502, 1.559384794017983, 1.5643923411486558, 1.5691842082900869, 1.5737563089834707, 1.578105327514762, 1.5822286964733725, 1.5861245720540111, 1.5897918074634663, 1.5932299247487283, 1.5964390853218386, 1.599420059421164 ], [ 1.3232751878990032, 1.3275179156927677, 1.3319949780495897, 1.3367024482582706, 1.3416354058091027, 1.3467879287604014, 1.3521530945626827, 1.3577229896271534, 1.363488727800271, 1.3694404777789537, 1.3755674993733098, 1.3818581883969516, 1.388300129839268, 1.394880158852038, 1.4015844289638781, 1.4083984868234394, 1.4153073526672078, 1.4222956056127614, 1.4293474727965103, 1.436446921308382, 1.4435777518278072, 1.450723692837574, 1.4578684942865126, 1.464996019589578, 1.4720903348950998, 1.4791357946131498, 1.4861171222851863, 1.4930194859809585, 1.4998285675315302, 1.506530625043206, 1.5131125482825973, 1.519561906671949, 1.5258669897828967, 1.5320168403588612, 1.5380012800282155, 1.5438109279867651, 1.5494372130259069, 1.5548723793598174, 1.5601094867601812, 1.565142405539673, 1.569965806938511, 1.5745751494625777, 1.5789666617009885, 1.583137322119003, 1.587084836281733, 1.590807611919626, 1.5943047322009594, 1.5975759275315526, 1.6006215461613604, 1.6034425238403753 ], [ 1.3328398989876926, 1.3371318206048481, 1.3416490365909524, 1.3463873558494268, 1.3513416298815493, 1.356505747622883, 1.3618726383562054, 1.3674342829599624, 1.3731817336339707, 1.3791051421235831, 1.3851937963416012, 1.391436165166207, 1.3978199510731926, 1.4043321501439834, 1.4109591188786426, 1.4176866471363696, 1.4245000364277094, 1.4313841826945903, 1.4383236626381009, 1.445302822593813, 1.4523058689102006, 1.459316958761508, 1.4663202903220447, 1.4733001912465968, 1.480241204440545, 1.48712817016423, 1.4939463035969653, 1.5006812670855763, 1.5073192364181827, 1.5138469605919462, 1.5202518146806843, 1.5265218455498923, 1.53264581030756, 1.5386132075156145, 1.5444143013126703, 1.5500401387117735, 1.5554825604314622, 1.5607342056950755, 1.5657885114877357, 1.5706397067955913, 1.5752828023662184, 1.5797135765272325, 1.5839285575820574, 1.5879250032732637, 1.5917008777666075, 1.5952548265663813, 1.5985861497290632, 1.6016947736981675, 1.6045812220427011, 1.6072465853442288 ], [ 1.3421899210664991, 1.346524576687982, 1.3510756040855039, 1.3558385711894438, 1.3608081245087573, 1.3659779862441388, 1.3713409591073575, 1.376888939079562, 1.3826129362307873, 1.3885031036089357, 1.3945487740911233, 1.4007385049747758, 1.4070601299718306, 1.413500818158503, 1.4200471393262402, 1.4266851350794443, 1.4334003949328038, 1.4401781365790463, 1.447003289427697, 1.4538605804595037, 1.4607346214015409, 1.4676099962060303, 1.474471347813345, 1.4813034631966557, 1.4880913557234532, 1.4948203439264085, 1.5014761258525682, 1.5080448482536897, 1.5145131699895882, 1.5208683191369676, 1.5270981434262112, 1.5331911537621463, 1.5391365607191094, 1.5449243040300005, 1.5505450752100423, 1.5559903335641005, 1.5612523159187965, 1.566324040495147, 1.571199305392238, 1.575872682188269, 1.5803395051819384, 1.584595856797391, 1.5886385496614712, 1.59246510583624, 1.596073733655221, 1.599463302572381, 1.6026333163905406, 1.6055838851936275, 1.6083156962668559, 1.6108299842519238 ] ], "zauto": true, "zmax": 1.6108299842519238, "zmin": -1.6108299842519238 }, { "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": [ [ 0.021021668327715994, 0.019631296159367533, 0.01839935849220431, 0.017320544577682926, 0.01638773801038375, 0.015593510009150293, 0.01493207871208897, 0.01440139256810307, 0.014004861566003229, 0.013752210058867384, 0.013658985369326955, 0.013744482349070065, 0.014028295931408469, 0.014526313849581004, 0.015247372535827359, 0.01619161994836565, 0.017350862861980315, 0.018710349671232782, 0.02025108713832572, 0.021951963978840652, 0.023791341863943223, 0.025748086927686608, 0.027802163072236645, 0.029934934660566615, 0.03212929763303384, 0.03436971841320212, 0.036642227338759714, 0.03893439142538569, 0.04123527818931347, 0.043535415122767096, 0.04582674586009688, 0.048102582505268984, 0.05035755305897433, 0.05258754285581389, 0.05478962912059687, 0.05696200804159416, 0.05910391407773575, 0.06121553154271779, 0.06329789883428429, 0.06535280599959185, 0.06738268664369378, 0.06939050549106937, 0.07137964318916545, 0.07335378018303863, 0.07531678167536848, 0.07727258579962014, 0.07922509716136597, 0.08117808783427459, 0.08313510772952282, 0.08509940599461567 ], [ 0.01866773434442302, 0.01729400442934182, 0.016090310249909257, 0.015050005511292461, 0.014163255229493086, 0.013418752046043527, 0.012806254321950898, 0.012319501861311238, 0.011958844251951246, 0.011732832167771772, 0.011658071918687403, 0.011756888747257188, 0.01205293969553864, 0.012565852632975133, 0.01330671572205067, 0.014276016534532952, 0.01546437312679294, 0.01685509571915115, 0.018427203293778685, 0.020157945306697515, 0.022024512048929534, 0.024005024493195463, 0.02607902821926381, 0.028227696790653872, 0.030433885393984124, 0.032682116760579236, 0.03495854149065957, 0.03725089164417441, 0.03954843429247003, 0.04184192598532151, 0.0441235667495786, 0.046386951558276136, 0.048627017271634834, 0.050839983399497725, 0.05302328546404389, 0.05517550017067747, 0.05729626200221773, 0.05938617123736258, 0.06144669376745734, 0.06348005345118607, 0.06548911810617015, 0.06747728058281205, 0.06944833668759647, 0.07140636200173693, 0.07335558985732983, 0.07530029286548398, 0.07724467042182805, 0.07919274453227798, 0.08114826610173449, 0.0831146335166613 ], [ 0.016454943122337088, 0.015098019789077826, 0.013925101846509405, 0.012928755066376437, 0.012096417587739633, 0.011412250002762296, 0.010860383752154694, 0.010428970848994459, 0.01011406147052586, 0.009922234524600228, 0.00987098491423313, 0.009986124110230348, 0.010296185317397604, 0.010825240708401815, 0.01158685234971505, 0.012581586781900913, 0.013798434497370282, 0.01521845742207967, 0.016818623175550638, 0.018574679778793398, 0.020462885309278825, 0.022460873416455876, 0.024548002038347953, 0.026705440939826457, 0.028916147817479296, 0.031164808048434956, 0.03343777026632549, 0.03572298834503278, 0.03800997073048316, 0.04028973444033268, 0.04255476018489529, 0.044798945315038134, 0.04701755191739075, 0.04920714804013082, 0.051365540635125495, 0.05349169932665082, 0.055585670579697606, 0.05764848226558239, 0.05968203903032931, 0.061689009274296706, 0.06367270495281942, 0.06563695580031793, 0.06758597994893752, 0.06952425323551582, 0.07145637974189019, 0.07338696626719855, 0.0753205034649603, 0.07726125627703274, 0.07921316605698864, 0.08117976640426396 ], [ 0.014397696804211164, 0.013055551531915406, 0.011913785920709378, 0.010965234166453355, 0.01019494899612615, 0.00958195270673443, 0.009103360691144022, 0.00874003678977347, 0.008482232423087004, 0.008333613362213162, 0.008312342557934721, 0.008448169121473902, 0.008775289689099845, 0.00932279519445766, 0.010106715970166604, 0.011127250638469852, 0.012371314816775674, 0.013817575954896286, 0.015441116469741372, 0.017216519831919748, 0.019119480719153044, 0.02112746800210975, 0.023219902694185997, 0.0253781327437365, 0.02758534522225289, 0.029826474660876574, 0.032088126210765934, 0.03435851521932867, 0.03662741880633258, 0.038886133791363776, 0.0411274358753258, 0.04334553601768696, 0.045536030978032944, 0.04769584585632027, 0.04982316716212124, 0.05191736550855166, 0.053978907510105936, 0.05600925690603935, 0.058010765362678275, 0.059986553844474995, 0.06194038588852368, 0.0638765345604537, 0.06579964529204614, 0.06771459717398001, 0.06962636556914818, 0.0715398890898928, 0.07345994401927403, 0.07539102913321037, 0.07733726359254536, 0.0793023001317877 ], [ 0.012514779371273453, 0.011182936303368097, 0.010069849740952874, 0.009170431415947101, 0.008468297139732902, 0.007936866038667527, 0.0075445585448614145, 0.007262868252264211, 0.007074562030953466, 0.00697947156738838, 0.006996261701452134, 0.0071589941643549005, 0.007508039584771299, 0.008077650119085714, 0.008885923596902935, 0.009932124731262464, 0.011200855633713978, 0.012668610981751122, 0.014309086711265307, 0.016096248564410182, 0.01800569041482508, 0.02001505714289543, 0.022104063900797416, 0.024254385428574797, 0.026449530452271584, 0.02867473858855478, 0.030916904843621713, 0.033164525716193424, 0.035407658628242904, 0.03763788723736539, 0.039848286792517174, 0.04203338523415599, 0.044189116977936906, 0.04631276725801129, 0.04840290561169353, 0.05045930764272245, 0.0524828646742716, 0.0544754813473927, 0.05643996166932635, 0.05837988448639197, 0.0602994698486902, 0.062203438235582394, 0.0640968650955801, 0.06598503358683253, 0.06787328874385717, 0.06976689650248395, 0.07167091105344914, 0.07359005384398165, 0.0755286072003926, 0.07749032501734533 ], [ 0.010831179124558374, 0.009503143606183406, 0.008413037914037897, 0.00756064753007473, 0.006930094297456314, 0.006489033493983073, 0.006195110689495256, 0.006007939932953404, 0.005901174489331904, 0.005870297513333545, 0.005934590809330143, 0.006132596528522523, 0.006510651647075436, 0.007107433887939306, 0.007942195398052217, 0.009012813659547593, 0.010301856447572618, 0.011784400916477257, 0.01343359333393802, 0.015223466095648569, 0.01712998736174888, 0.019131275844507165, 0.021207514662681712, 0.023340800970167833, 0.025515014561324028, 0.0277157235310993, 0.029930122103837303, 0.03214699010379403, 0.034356664028084745, 0.036551011793172765, 0.03872340535646445, 0.040868687118068334, 0.04298312725558133, 0.04506437003442715, 0.047111367784447696, 0.04912430174072472, 0.051104489391890336, 0.05305427841685845, 0.0549769277559345, 0.05687647687025291, 0.05875760479175332, 0.06062548113613354, 0.06248561180962038, 0.06434368264288111, 0.06620540458084347, 0.06807636429601062, 0.06996188413246768, 0.07186689510208856, 0.07379582623765794, 0.07575251297920002 ], [ 0.009379616501195396, 0.008048868195778644, 0.006973606760970022, 0.00616216801817634, 0.005602521861785581, 0.005256981439185935, 0.005069887726119164, 0.004986223775186943, 0.0049695915249316, 0.005011685912644823, 0.005133079251215353, 0.005376508867622958, 0.005792781434902291, 0.006422966876538128, 0.007286094773834765, 0.008378615994247189, 0.009682032703056342, 0.01117124321762022, 0.012819870730994254, 0.014602702889370907, 0.01649648845716421, 0.018480038745699177, 0.020534113159656673, 0.022641279397995484, 0.02478580562986602, 0.02695359094772959, 0.02913212484570443, 0.03131046416386403, 0.03347921771404242, 0.03563053128216531, 0.03775806783186565, 0.03985697931255972, 0.04192386757578882, 0.043956732663224495, 0.04595490727628825, 0.047918976675781974, 0.04985068366648552, 0.051752818751282716, 0.05362909602392176, 0.05548401592230682, 0.05732271657868083, 0.05915081615399073, 0.06097424918900102, 0.06279910058919705, 0.0646314413213836, 0.06647717017583746, 0.06834186598731683, 0.07023065447999516, 0.07214809340036551, 0.0740980788540674 ], [ 0.008199894048287784, 0.006864571669902219, 0.005797205231270105, 0.005017909929429331, 0.00452289774127661, 0.0042704997323629295, 0.004189432295346078, 0.004208295768302361, 0.004281730643866011, 0.00439992441546221, 0.004585871717695646, 0.004885295555454944, 0.005350277782647758, 0.006020917106915968, 0.006914386653875652, 0.008026108862193133, 0.009337914202394989, 0.010825908716580093, 0.012465177162271902, 0.014231852547583091, 0.016103784360617063, 0.018060638982991848, 0.02008383026839569, 0.02215643204448354, 0.024263115861443505, 0.02639011724317371, 0.02852522206699025, 0.030657763362713107, 0.03277862050925338, 0.03488021490795889, 0.03695649794886542, 0.039002928338028216, 0.04101643670586201, 0.04299537599468776, 0.04493945654438017, 0.04684966515276472, 0.048728167751995635, 0.050578195764294266, 0.05240391670948397, 0.05421029024247036, 0.056002911490418646, 0.05778784430416607, 0.059571447784599885, 0.06136020012415975, 0.06316052433982373, 0.06497862079160698, 0.06682031141796341, 0.06869090033925136, 0.07059505487919612, 0.07253671016619088 ], [ 0.0073322033049566865, 0.0060020856190775886, 0.004944658310707372, 0.0041911482453006995, 0.00374826665119108, 0.003572611765179454, 0.0035783910733911037, 0.0036808093804832106, 0.003830234934303675, 0.00401881692264448, 0.004272417153151805, 0.004636944972521475, 0.0051610505270577095, 0.00587978717879371, 0.00680679711096985, 0.007936876407178495, 0.00925336952700645, 0.010734688479238783, 0.012358141897935283, 0.014101678604064805, 0.015944528239354713, 0.01786737968513839, 0.019852405479416836, 0.02188325400926582, 0.02394504759365358, 0.026024392408481554, 0.028109396029786935, 0.030189686492622676, 0.03225642752101277, 0.03430232586065834, 0.03632162775688211, 0.038310102425153356, 0.040265010900928155, 0.04218505901900693, 0.044070333549104106, 0.045922220781211665, 0.047743307172297834, 0.04953726207974414, 0.05130870314322743, 0.0530630455421378, 0.05480633713415859, 0.056545082331930126, 0.05828605843580186, 0.06003612892798968, 0.061802058854974674, 0.06359033778877472, 0.06540701588984024, 0.06725755825148653, 0.06914672198654405, 0.07107845946651722 ], [ 0.006800755298524927, 0.005500704122876173, 0.0044712294495096614, 0.003746888740265547, 0.0033390105356985197, 0.0032045065188850285, 0.0032535347240011856, 0.003400012905319877, 0.00359772571004392, 0.003843081214532933, 0.004162953667479523, 0.004598884198598415, 0.005190896217169786, 0.005965321371311355, 0.006930800719571302, 0.008081469677165342, 0.009402662538097628, 0.010875619627841069, 0.012480310108591358, 0.0141968393916241, 0.016006079876433186, 0.017889946075472785, 0.019831527483958368, 0.021815171132269863, 0.023826547711486026, 0.025852710798968878, 0.02788214975225242, 0.029904834217060153, 0.03191224788186274, 0.033897409464825126, 0.03585487933839943, 0.03778075050992502, 0.03967262287244498, 0.041529559766145606, 0.04335202600633673, 0.04514180669780791, 0.046901906418221624, 0.048636428754086365, 0.05035043673594529, 0.052049795447892754, 0.053740998959858934, 0.05543098470016381, 0.05712693937421255, 0.05883610144362688, 0.06056556589579942, 0.06232209744779337, 0.0641119583516683, 0.06594075655069967, 0.06781331907997203, 0.0697335943688232 ], [ 0.006593060868563574, 0.00535378810694978, 0.004378364183701003, 0.003693078465871668, 0.003301995263477441, 0.003164018271410591, 0.00320255681047633, 0.003347174468647142, 0.00356251981544092, 0.003849325187982957, 0.00423172666047593, 0.0047419149740024645, 0.005407241650459024, 0.006243135213135474, 0.00725233250471625, 0.00842786723270162, 0.009756795499248508, 0.011223081430103773, 0.012809401369491298, 0.014498163117550755, 0.016272072111665405, 0.018114465421405518, 0.020009532528191515, 0.021942479470501323, 0.023899660872529052, 0.02586868957742798, 0.0278385273418376, 0.029799557615010863, 0.03174364056263126, 0.03366415019647386, 0.035555993330686674, 0.037415609963797926, 0.039240954559038956, 0.04103145758683562, 0.042787966642250874, 0.0445126665031158, 0.04620897769387625, 0.04788143350228246, 0.049535535982944905, 0.0511775922748192, 0.05281453353322951, 0.054453719873045835, 0.05610273584709629, 0.05776918202431487, 0.05946046905130946, 0.06118362104790057, 0.06294509519703376, 0.06475062388503022, 0.066605084735962, 0.06851240243969174 ], [ 0.0066535289352198206, 0.005494280954015379, 0.004587063634698458, 0.003943070589477631, 0.003554160146703885, 0.0033839477165022304, 0.0033787531530079327, 0.0034932371210072365, 0.00370739610878724, 0.004025876970318525, 0.0044669893860224364, 0.005050486913075466, 0.005789628310715745, 0.0066888105944692, 0.007744798499492126, 0.008949015461566422, 0.010289533728370473, 0.011752461771056797, 0.013322850624780707, 0.014985297031699867, 0.016724371045939313, 0.018524941977645218, 0.020372441127007396, 0.02225308027602729, 0.02415403526164952, 0.02606359951264691, 0.027971310461036222, 0.02986805082452798, 0.03174612623713763, 0.03359932030259356, 0.03542292776251174, 0.037213766092875966, 0.03897016548800089, 0.04069193689507147, 0.04238031756655915, 0.04403789354662077, 0.045668498643920606, 0.04727708980473889, 0.04886959940951887, 0.05045276587456719, 0.05203394501877872, 0.0536209058856867, 0.05522161598765051, 0.05684402212151366, 0.058495833835294546, 0.06018431714808506, 0.06191610611778387, 0.06369703924815828, 0.06553202654107929, 0.06742495132625745 ], [ 0.006902209462839884, 0.005823882030696939, 0.00498137502540145, 0.004372034430692222, 0.003979589749649358, 0.0037748380927854655, 0.0037255912521190803, 0.003809999077813546, 0.004022954114543794, 0.004372241613366573, 0.004869332893226299, 0.005521698705104923, 0.006330069430812184, 0.007289514329683365, 0.008391562617238134, 0.009625747774455585, 0.010980389276962283, 0.012442953278029717, 0.014000280154922013, 0.015638806038763605, 0.017344806365512735, 0.01910465197974479, 0.02090506141606987, 0.022733336460753695, 0.024577573282206187, 0.02642684556658667, 0.028271358766460496, 0.030102576026777322, 0.03191331696601167, 0.03369783057155471, 0.03545184324270683, 0.037172582635958205, 0.0388587775436682, 0.04051063364951517, 0.042129784718111, 0.04371921865099446, 0.04528317793011874, 0.04682703431745455, 0.04835713831466246, 0.04988064481380723, 0.05140531755690982, 0.05293931639333934, 0.05449097275731561, 0.05606856012082456, 0.05768006722479831, 0.05933298247242341, 0.06103409783996121, 0.06278933994969443, 0.06460363457619547, 0.06648080893847103 ], [ 0.007262718625180037, 0.006254838899853151, 0.0054663837663981385, 0.0048860835009262174, 0.00449525294471097, 0.004272520291524976, 0.004201553906248248, 0.0042769163397025104, 0.004503539995360385, 0.004890193672160658, 0.005441989130786752, 0.006156833846316966, 0.007026461308262673, 0.008039358215690918, 0.009183111239859968, 0.010445453035890529, 0.011814401284529173, 0.013278056759554556, 0.014824405892829125, 0.016441251244945717, 0.018116272727441714, 0.01983718037893148, 0.02159191607040652, 0.023368871256297614, 0.025157099226754766, 0.0269465093607763, 0.02872803703053476, 0.030493786559670118, 0.032237146685812505, 0.033952878909490655, 0.03563717936138761, 0.037287714684659155, 0.03890363211025138, 0.04048554354181572, 0.04203548316844922, 0.0435568379735514, 0.045054250578854975, 0.04653349421362543, 0.04800132026985364, 0.04946527990505308, 0.0509335224542276, 0.05241457492880072, 0.05391710847556906, 0.055449699157735226, 0.05702059158950032, 0.058637474597168296, 0.060307278029077704, 0.06203599901291984, 0.06382856438996459, 0.06568873388322961 ], [ 0.007679160100543146, 0.0067292635575740434, 0.005986652066143914, 0.005436419015143626, 0.005061036922323499, 0.004845905306936024, 0.004784608942930648, 0.004880324442790461, 0.005141740070821293, 0.005575856591565894, 0.006182516011798899, 0.006953589443293044, 0.007875708366059858, 0.008933658549154908, 0.010112610682161072, 0.011398943170082878, 0.012780173813582173, 0.014244559295483357, 0.015780704754299466, 0.01737732064960766, 0.019023143225432592, 0.02070698411284503, 0.022417863521424445, 0.024145187389856774, 0.025878939475657205, 0.027609869317237946, 0.029329664616808738, 0.0310311017826775, 0.03270817159360049, 0.03435617874939845, 0.03597181492064589, 0.0375532051610334, 0.03909992746093909, 0.040613004989124665, 0.042094870335534634, 0.04354930094831282, 0.04498132504735087, 0.046397097674133, 0.047803747257170404, 0.04920919415395629, 0.05062194404619513, 0.0520508607277813, 0.053504924583059686, 0.05499298469905234, 0.05652351384822033, 0.058104376281693244, 0.05974261820113688, 0.06144428984123472, 0.063214306330664, 0.06505635207467704 ], [ 0.008119456301234694, 0.007218318293779249, 0.0065191084908435715, 0.0060065318934510665, 0.005665438276428466, 0.005485744161423646, 0.005465517775926129, 0.005609956515206904, 0.005926346423533413, 0.006417974504201972, 0.007080663473297421, 0.007903224558169551, 0.00887029628270256, 0.009965337114025606, 0.011172549564249625, 0.012477624874076968, 0.013867709258254157, 0.015331033115978396, 0.016856501281978825, 0.018433388741056145, 0.02005118156766317, 0.021699548706971036, 0.023368410342510627, 0.025048067046742107, 0.026729359993318085, 0.028403840406166125, 0.030063933523098756, 0.03170308780863737, 0.03331590393395102, 0.034898240436411036, 0.03644729432989698, 0.03796165558118093, 0.03944133456276962, 0.04088776154801533, 0.042303757199288715, 0.04369347295382753, 0.04506230035350418, 0.04641674879066533, 0.04776429192350335, 0.049113184182059934, 0.05047225031731773, 0.051850652750848575, 0.05325764339813516, 0.0547023084367297, 0.05619331590389348, 0.05773867677331956, 0.05934553007137038, 0.061019961551960884, 0.06276686350100044, 0.0645898405786958 ], [ 0.008572055419076224, 0.007715141599748478, 0.007062199894263493, 0.006599054900777274, 0.0063124239368979665, 0.006193787810678603, 0.006241033560290666, 0.0064566738924698, 0.006843553959988539, 0.007400584372360856, 0.00812074637948756, 0.008991763106939133, 0.009998254864285436, 0.011123964546733534, 0.012353272784770915, 0.013671883087000044, 0.01506689895346553, 0.016526584509184466, 0.018040037235749217, 0.01959690697259716, 0.021187217236601583, 0.022801295547390153, 0.0244297949146154, 0.026063780490457347, 0.02769485608195165, 0.02931530964398585, 0.030918262130337857, 0.032497808782888285, 0.03404914559395281, 0.035568676245254394, 0.0370540964671338, 0.03850445369230834, 0.039920180317570435, 0.041303099031724265, 0.04265639869057772, 0.043984579271867955, 0.04529336465775269, 0.04658958248305724, 0.04788101113843559, 0.049176195271755305, 0.050484232771525174, 0.05181453815224993, 0.05317658932093894, 0.054579666640875324, 0.05603259473319342, 0.05754349828077045, 0.059119582997629906, 0.06076695179509289, 0.062490464066374256, 0.06429364313867163 ], [ 0.009041352463598787, 0.00822832617944232, 0.007627979862658356, 0.0072273776329879295, 0.007013515304875543, 0.006976374407575332, 0.007110140859806777, 0.0074119590646849, 0.007879130743762565, 0.008506469330979474, 0.009285069281925311, 0.010202648059660206, 0.011244816213091275, 0.012396497963416565, 0.013643010176555004, 0.014970649792297345, 0.01636686123498985, 0.017820140414025774, 0.019319827415001548, 0.020855896248123788, 0.022418800937961617, 0.023999398858650378, 0.02558894830920241, 0.027179165595119768, 0.02876232330943583, 0.030331372456483683, 0.031880073974862665, 0.03340312855961483, 0.034896296679301525, 0.03635650302801034, 0.0377819213056608, 0.039172036271659286, 0.040527680609756644, 0.04185104443344437, 0.043145655407748625, 0.04441632761448095, 0.0456690775825177, 0.04691100646537329, 0.048150148269603364, 0.049395285371929866, 0.0506557342988975, 0.05194110679007581, 0.05326105334546954, 0.054624998511034355, 0.056041878774475966, 0.057519894819330904, 0.059066289778377266, 0.06068716392548219, 0.062387334007433896, 0.06417024237696077 ], [ 0.009543673591814393, 0.008777121053823228, 0.00823696569352321, 0.007910664830341054, 0.007783480727050627, 0.007841358021880594, 0.008072693020657076, 0.008468314814740032, 0.009020143180614872, 0.009719583269107605, 0.010556509411605788, 0.011519100652986357, 0.01259431492828614, 0.013768620140851078, 0.015028666055634923, 0.016361734172484675, 0.017755940483689003, 0.019200247842987298, 0.020684371818591504, 0.022198655311705156, 0.023733963276360882, 0.02528162377513034, 0.02683342222418605, 0.028381643614600573, 0.02991915162605913, 0.031439491912854514, 0.032937007614978114, 0.03440695698799533, 0.035845625114566265, 0.037250423509214974, 0.038619972870161445, 0.039954165241239584, 0.04125420248462092, 0.04252260833758554, 0.04376321156182725, 0.0449810979275028, 0.046182529142005525, 0.0473748274594204, 0.04856622569155425, 0.04976568374219389, 0.050982674596571576, 0.052226944827926634, 0.053508256950476986, 0.054836123085665905, 0.05621954109552595, 0.057666745252802694, 0.05918498341024884, 0.060780331384994384, 0.06245755295063105, 0.0642200106755086 ], [ 0.01010380537889219, 0.00938768641240736, 0.008914452013550483, 0.008670629122852538, 0.008637964150707554, 0.008796839985996492, 0.009129188575827571, 0.009619776845390336, 0.010255900322433299, 0.01102627536004208, 0.011919946410780912, 0.012925645601184624, 0.014031654387551443, 0.015226001644474548, 0.01649678740789984, 0.01783247496754375, 0.019222076221152688, 0.020655223366248483, 0.022122158564426075, 0.02361368460093279, 0.02512111375370151, 0.026636239175252596, 0.028151339941267773, 0.029659220826691517, 0.031153281594799905, 0.03262760756690199, 0.034077072483836145, 0.03549744521977229, 0.03688549303998273, 0.038239075337720814, 0.039557222882408836, 0.040840198457168256, 0.0420895353515151, 0.04330805056243231, 0.04449982983843034, 0.04567018199208475, 0.046825560332075036, 0.047973449745827096, 0.04912221899857741, 0.0502809392630939, 0.05145917175152724, 0.05266672949855618, 0.05391342065998217, 0.05520878287306919, 0.05656181994843598, 0.057980753101640636, 0.059472798829085516, 0.0610439842685948, 0.06269900852401997, 0.06444115522748471 ], [ 0.010751514199100932, 0.010089574287560084, 0.009687314206640778, 0.00952905921202133, 0.009592001464448375, 0.009850615952139458, 0.010280799541446624, 0.0108621509869302, 0.011578241501538716, 0.012415673735041355, 0.01336283202909011, 0.014408883208857354, 0.015543209926988223, 0.016755221453548144, 0.018034396350035484, 0.01937041628906413, 0.020753297129791425, 0.0221734752840089, 0.023621845728703884, 0.025089768115437446, 0.026569062658489576, 0.02805201387460193, 0.029531393182490415, 0.031000504339185664, 0.0324532503343267, 0.03388421705163132, 0.035288767442002926, 0.03666313960844582, 0.0380045425644124, 0.03931124409694409, 0.04058264588137456, 0.04181934161515838, 0.04302315441499024, 0.044197150072721604, 0.04534562305530962, 0.046474052456565364, 0.047589025573359575, 0.04869812749803745, 0.049809796186505925, 0.05093314393455318, 0.052077748068552684, 0.05325341584305166, 0.054469930855780536, 0.055736790472697174, 0.05706294547861541, 0.058456554108495706, 0.05992476251550316, 0.06147352247597025, 0.0631074547822231, 0.0648297635819166 ], [ 0.011517702382501415, 0.010912058898743368, 0.01058094121416726, 0.010505697759187083, 0.010658891784075277, 0.011009752861707519, 0.011529237891601233, 0.012192889363282356, 0.012981371166033965, 0.013879570569420501, 0.014875233012960497, 0.015957739468803734, 0.017117264862472798, 0.018344320230493347, 0.01962957743649494, 0.02096385724644918, 0.022338186079047008, 0.023743863865459125, 0.025172518306770298, 0.026616142679553752, 0.028067125019239584, 0.029518278961668084, 0.030962884352689714, 0.03239474185558126, 0.03380824200322428, 0.03519844628771677, 0.03656117613101956, 0.03789310477171514, 0.03919184694821072, 0.04045604147740942, 0.041685422202453686, 0.042880873174411624, 0.04404446427474042, 0.045179463772578574, 0.04629032458394686, 0.04738264133373767, 0.048463075809426354, 0.049539249138170365, 0.050619600101658224, 0.05171321047744164, 0.052829600153624034, 0.05397849691924265, 0.05516958810841483, 0.0564122634126515, 0.05771535985937652, 0.059086920871586845, 0.06053398122721439, 0.06206238851222662, 0.0636766693703316, 0.06537994573679606 ], [ 0.01243041518729694, 0.011880570534427436, 0.011616494925164712, 0.01161649070591526, 0.011849266722620598, 0.012280104985313536, 0.012876384813564071, 0.013610680513160172, 0.014461419762932099, 0.015412036284237159, 0.01644958021008201, 0.017563394930483794, 0.018744119505215085, 0.01998305410182264, 0.021271821547343556, 0.022602228936957052, 0.023966243189403588, 0.025356019362234875, 0.026763946372904048, 0.028182694787613344, 0.029605263728773944, 0.031025029703709267, 0.032435801366939035, 0.03383188299614267, 0.03520814736624611, 0.036560116692568305, 0.037884048808886635, 0.03917702483366138, 0.04043703416351145, 0.04166305256133043, 0.04285510922643208, 0.04401433893363717, 0.045143015544561786, 0.04624456341219265, 0.047323543446076734, 0.04838561093843162, 0.04943744275127206, 0.050486632217507404, 0.051541551190186934, 0.052611180127168415, 0.0537049089114215, 0.05483231319444035, 0.05600291324145822, 0.05722592430485453, 0.05851000915941864, 0.05986304430400603, 0.06129191123601036, 0.06280232303043126, 0.06439869426246322, 0.0660840593301336 ], [ 0.013511432406047786, 0.013013913943334107, 0.012808971030263835, 0.012872424819294402, 0.013170417604686272, 0.01366581807734765, 0.014323784874194133, 0.01511489176255224, 0.01601587714507492, 0.017008909933557064, 0.018080271743142758, 0.019219033846744338, 0.020415993876210698, 0.02166293536474812, 0.022952172585209544, 0.024276307793857574, 0.025628127783937655, 0.02700058184209454, 0.028386802152045046, 0.02978014432141638, 0.031174237617754494, 0.032563041549542024, 0.033940908623510985, 0.03530265379250986, 0.036643630478911005, 0.03795981197411297, 0.03924787597665306, 0.04050528926026209, 0.0417303889997625, 0.04292245707546433, 0.04408178364408388, 0.0452097163321859, 0.046308691529577194, 0.0473822444216561, 0.048434994621419654, 0.04947260459124775, 0.05050170854937743, 0.05152981030903182, 0.052565149564000435, 0.05361653754627723, 0.054693164723232754, 0.0558043851885481, 0.05695948447148062, 0.05816743941130236, 0.059436680243028804, 0.06077486584414622, 0.062188682987047036, 0.06368367933053329, 0.06526413782078015, 0.06693299736831937 ], [ 0.01477423973356571, 0.014322882281732658, 0.014166414111903702, 0.014279115167807764, 0.01462598669798022, 0.01516895217315088, 0.015872156249003455, 0.016705004368126927, 0.017643015512387207, 0.018667266751610165, 0.01976322658148488, 0.020919509292961512, 0.022126814575122732, 0.023377136766200703, 0.024663232622682447, 0.025978297134630526, 0.027315789135268564, 0.02866935585543031, 0.030032818378894915, 0.0314001927779432, 0.03276573201434298, 0.03412398074244378, 0.03546983923975968, 0.03679863455979031, 0.03810619746895461, 0.03938894347247271, 0.04064395572130369, 0.04186906709192802, 0.0430629383599203, 0.04422512916939001, 0.04535615840929551, 0.04645755060916147, 0.04753186503438243, 0.04858270429013542, 0.04961469945153682, 0.05063346906741645, 0.05164554989270257, 0.0526582979515084, 0.053679759571832936, 0.05471851338766815, 0.055783485953638405, 0.05688374547814538, 0.058028280102052625, 0.05922576891853429, 0.06048435529654986, 0.061811432790320336, 0.063213453800227, 0.06469577011129705, 0.06626251252428055, 0.06791651420234902 ], [ 0.01622370655585359, 0.015810384496178987, 0.01569026277446972, 0.015837104876585788, 0.016216054142674224, 0.016789320626689634, 0.017521035786063826, 0.018380147361004365, 0.019341386350131516, 0.0203849326232998, 0.021495453092844594, 0.022660988988172977, 0.023871950316453283, 0.02512031937177774, 0.026399075774044985, 0.027701813664232043, 0.02902250807796663, 0.03035538864321438, 0.03169488626002873, 0.033035627534167826, 0.03437245995830386, 0.03570049712762524, 0.03701517748843643, 0.03831233256334751, 0.03958826176588144, 0.04083981129168405, 0.042064454535188235, 0.0432603712867342, 0.044426522761566646, 0.04556271936369267, 0.046669678012052546, 0.047749065848554303, 0.048803527202995474, 0.049836690812725855, 0.05085315450662741, 0.0518584449004905, 0.05285895016260911, 0.05386182464571161, 0.05487486518511665, 0.055906360148543936, 0.05696491386436925, 0.05805925077186217, 0.05919800538934276, 0.06038950579240397, 0.06164155951308354, 0.06296125139627977, 0.06435476281742897, 0.06582722070274731, 0.06738258304718953, 0.06902356526531837 ], [ 0.017857165965863613, 0.017472685258247803, 0.017376467853416632, 0.017542661122122646, 0.01793754942258001, 0.018524564611397867, 0.019268612293807736, 0.02013878597519268, 0.021109440029905793, 0.02216008827174097, 0.02327467373727943, 0.02444062435932649, 0.025647940391768122, 0.02688842790949698, 0.028155110974633243, 0.02944181225776198, 0.030742873977101383, 0.032052987119609626, 0.033367099951457924, 0.03468038254905896, 0.03598823010077939, 0.03728629286730023, 0.03857052452584692, 0.039837243183328395, 0.04108320086351435, 0.04230565805794395, 0.04350246025693738, 0.04467211346150021, 0.045813855659856385, 0.04692772121758112, 0.04801459511683659, 0.0490762540068509, 0.05011539110502023, 0.05113562212984573, 0.0521414696778083, 0.053138323810140435, 0.05413237713418874, 0.055130533389412525, 0.0561402895110966, 0.05716959235284447, 0.05822667267215156, 0.05931986054530592, 0.06045738795116266, 0.061647185678311074, 0.06289668277342639, 0.06421261727535196, 0.06560086683024001, 0.06706630689850016, 0.06861270268834574, 0.07024263883119815 ], [ 0.01966623424778658, 0.01930114196832282, 0.019216924963373436, 0.019388792671880727, 0.019784856072882457, 0.020370416110791198, 0.021111740970886216, 0.021978573593108983, 0.022945283186730156, 0.02399098161634318, 0.02509902755210536, 0.0262562680018497, 0.027452244352034215, 0.028678483620783818, 0.029927923249931727, 0.031194475791013844, 0.03247271910012386, 0.0337576898982801, 0.03504475791947337, 0.03632956061389033, 0.03760798226693358, 0.038876165212440694, 0.04013054398907662, 0.041367895642367786, 0.04258540096666784, 0.04378071246869482, 0.04495202539711568, 0.04609814848022422, 0.04721857116570028, 0.048313524243993156, 0.04938403080911631, 0.05043194459767026, 0.05145997287005691, 0.05247168117778585, 0.0534714776237909, 0.054464574600351014, 0.055456926517481915, 0.056455142747050165, 0.057466375926391325, 0.05849818689082227, 0.059558388804678314, 0.06065487446374579, 0.06179543213419876, 0.06298755652622805, 0.06423826240964046, 0.06555390880794644, 0.06694004154196977, 0.06840126108752022, 0.06994112130412578, 0.0715620627116363 ], [ 0.021638738520891987, 0.021283926060736785, 0.02120086272257716, 0.02136626448706984, 0.02175047735771094, 0.02232107295577732, 0.023046095351846582, 0.023896343666156627, 0.02484656345755718, 0.025875747080821267, 0.026966856139107077, 0.028106250784323997, 0.02928302853582461, 0.03048839327770249, 0.03171511351908412, 0.03295708966479995, 0.03420902802314659, 0.03546620880717338, 0.03672433185678629, 0.03797942403551923, 0.03922779421174038, 0.04046602421437501, 0.04169098651066867, 0.04289988129693433, 0.044090287151508444, 0.045260220417230095, 0.04640819915400131, 0.04753330793427198, 0.04863526003414219, 0.04971445376919457, 0.05077201988444363, 0.05180985706597144, 0.052830652823463546, 0.053837887222356114, 0.05483581724754376, 0.05582943998695156, 0.05682443336234019, 0.05782707383307633, 0.05884413137072386, 0.05988274304337873, 0.060950267725793476, 0.062054125697930645, 0.06320162811052288, 0.0643998023545607, 0.06565522013382409, 0.06697383537752728, 0.06836083895140473, 0.06982053639504476, 0.07135625366850837, 0.07297027424100389 ], [ 0.02376036761070811, 0.023407449764665515, 0.023315997377549406, 0.023464478428677743, 0.02382566645148897, 0.02436961239378348, 0.025066401778204857, 0.025888202696073753, 0.02681045622362518, 0.027812317396463372, 0.028876567237472877, 0.029989219339162387, 0.03113899534043118, 0.03231678406043193, 0.03351514904779477, 0.034727914153439926, 0.035949834894528694, 0.03717635132128654, 0.038403412458348114, 0.039627360594013936, 0.04084486396640206, 0.042052887617697966, 0.04324869368802837, 0.04442986384171893, 0.04559433770585145, 0.046740462118517914, 0.04786704666009222, 0.04897342142883995, 0.050059493379962156, 0.051125797824186886, 0.05217354191862859, 0.053204637209220425, 0.05422171852683188, 0.05522814682147368, 0.05622799386554797, 0.05722600719300944, 0.05822755419099425, 0.05923854494333304, 0.0602653342500511, 0.0613146042042215, 0.062393229764871695, 0.06350813086159071, 0.0646661156165609, 0.06587372016563703, 0.06713705118805023, 0.06846163751058824, 0.06985229696435462, 0.07131302401545965, 0.07284690259925536, 0.0744560471533906 ], [ 0.02601591092277207, 0.02565742115553313, 0.025549402757356933, 0.02567217182157304, 0.02600096836477018, 0.026508389141907555, 0.027166706966001024, 0.02794968355487248, 0.02883372270143145, 0.02979840677015087, 0.030826562905803375, 0.03190402761571748, 0.03301925420171589, 0.0341628673274237, 0.035327230492386646, 0.036506062298833616, 0.03769411698647448, 0.03888693211757857, 0.04008063931182581, 0.04127183061773975, 0.042457472006313356, 0.04363485557956082, 0.04480158275960505, 0.045955571580409124, 0.047095082039984186, 0.04821875419681709, 0.04932565428769769, 0.050415324619128385, 0.05148783336829087, 0.05254382075335654, 0.053584538324280916, 0.05461187840877449, 0.05562839104573116, 0.056637286070355196, 0.057642418402544415, 0.058648255053390844, 0.05965982292237466, 0.0606826371236062, 0.06172261035634599, 0.06278594471115466, 0.06387900824696545, 0.06500819963239425, 0.06617980504291826, 0.06739985225548767, 0.06867396739130459, 0.07000723994419544, 0.07140410154042152, 0.07286822328974824, 0.07440243563777035, 0.076008673393017 ], [ 0.028390105204104257, 0.028019563448115504, 0.02788812136728649, 0.027977937211026423, 0.02826665542883455, 0.028729386149504432, 0.02934064218209396, 0.03007592451959427, 0.03091281019853002, 0.031831542899538365, 0.03281521631349332, 0.033849672259517266, 0.03492322888018414, 0.03602632977270197, 0.037151177015374966, 0.038291386928816895, 0.03944168936105781, 0.04059767905388814, 0.041755620035099215, 0.042912299661267916, 0.0440649267850507, 0.04521106769927114, 0.04634861343716844, 0.047475772309346055, 0.048591082008937726, 0.0496934360956411, 0.05078212012004978, 0.0518568530558131, 0.052917830071143576, 0.05396576300613457, 0.05500191524323429, 0.056028127981093995, 0.05704683526210146, 0.05806106547692969, 0.059074427490841075, 0.06009108002178956, 0.061115683462094804, 0.06215333398174253, 0.06320948048099528, 0.06428982575907896, 0.06540021410481835, 0.06654650834734274, 0.06773446016828508, 0.06896957809927083, 0.07025699803625071, 0.07160136123206041, 0.07300670453901117, 0.07447636715447907, 0.0760129173022415, 0.0776181012244385 ], [ 0.030868171437510982, 0.030480074219950738, 0.030319570297173814, 0.030370590051553233, 0.030613059249217495, 0.03102450425197132, 0.03158166120289302, 0.03226184848954352, 0.03304397045227107, 0.033909127392255635, 0.03484088112921982, 0.035825260214359486, 0.036850593440434905, 0.03790724776640262, 0.0389873280365893, 0.04008437747258894, 0.0411931027818097, 0.042309136547882965, 0.04342884194114408, 0.044549159933758596, 0.04566749633559343, 0.04678164442669692, 0.047889738259996914, 0.048990231502199465, 0.05008189674994839, 0.05116384046616407, 0.05223552895286969, 0.053296821073137345, 0.054348003741302366, 0.05538982651429069, 0.05642353194126499, 0.05745087867043679, 0.05847415467887432, 0.059496178392740656, 0.06052028591127941, 0.06155030304750852, 0.06259050145902263, 0.06364553876658732, 0.0647203832414539, 0.06582022436972863, 0.06695037134641958, 0.06811614227273471, 0.06932274747652524, 0.07057517088968288, 0.07187805374028444, 0.073235584903123, 0.07465140207004538, 0.0761285074462383, 0.07766920097528553, 0.07927503319682674 ], [ 0.033436130937740664, 0.03302589989938475, 0.03283179645088826, 0.03283941675856976, 0.03303081205625562, 0.033385788735825046, 0.03388324039224346, 0.03450232582066416, 0.03522337826396504, 0.03602850797795705, 0.0369019193630469, 0.037829997375985164, 0.03880122874697294, 0.039806019451728444, 0.040836458563497324, 0.04188606544171822, 0.04294954519221324, 0.04402256766425594, 0.04510157809310846, 0.046183642523295404, 0.04726632787455258, 0.04834761447136625, 0.049425837662246265, 0.05049965451755594, 0.05156803131191267, 0.05263024743518267, 0.053685911450558635, 0.05473498517979471, 0.055777811916317276, 0.05681514513239872, 0.057848174350209836, 0.0588785451863286, 0.059908370955873175, 0.06094023363836173, 0.061977172466260465, 0.063022658902232, 0.06408055732438596, 0.06515507133839737, 0.06625067627374737, 0.06737203908313001, 0.06852392752427146, 0.06971111112819688, 0.07093825700526932, 0.07220982396472515, 0.07352995868041674, 0.07490239768956294, 0.07633037884099356, 0.07781656541394388, 0.07936298552944697, 0.08097098871703698 ], [ 0.036080973753470094, 0.03564488560413429, 0.0354136258601217, 0.03537433273327649, 0.03551101339717639, 0.03580559742359933, 0.036239037075330376, 0.03679231158918205, 0.037447238632549874, 0.03818705023338673, 0.038996736305385325, 0.039863188646914315, 0.0407751918565566, 0.04172330903413971, 0.04269970443505019, 0.043697936547829254, 0.044712746052645524, 0.04573985518458869, 0.046775788676807845, 0.04781772169687602, 0.04886335678849129, 0.04991082949671889, 0.05095864081215266, 0.05200561359085569, 0.05305086952238014, 0.05409382290575386, 0.055134187371508714, 0.056171991702427704, 0.05720760102235199, 0.05824173981900323, 0.059275513529065064, 0.06031042573256737, 0.06134838837282572, 0.062391722833782304, 0.06344315016632704, 0.0645057692565239, 0.06558302226849762, 0.06667864726748957, 0.06779661852392795, 0.06894107560196476, 0.0701162429231676, 0.0713263420394321, 0.07257549931481228, 0.0738676520684307, 0.0752064564362331, 0.07659520024221592, 0.07803672401548381, 0.0795333529495325, 0.08108684209365317, 0.08269833642845976 ], [ 0.03879073213047864, 0.03832584336220893, 0.038054740301397355, 0.03796597431696223, 0.03804533751010893, 0.03827671784803666, 0.0386430072723303, 0.039126953507415234, 0.03971187557329899, 0.0403822006054251, 0.04112381421997723, 0.04192424177739871, 0.042772691906695415, 0.043659998282063545, 0.04457849392912661, 0.04552184722376495, 0.046484882429500156, 0.04746340145180557, 0.048454018138821324, 0.04945401214738325, 0.050461206089191336, 0.05147386723097324, 0.05249063327096472, 0.0535104604917746, 0.05453259176412991, 0.05555654134717358, 0.05658209312610637, 0.05760930879520818, 0.05863854249798609, 0.05967045854994302, 0.060706049074559044, 0.06174664866459895, 0.06279394352706995, 0.06384997297192863, 0.06491712155341532, 0.06599810066171986, 0.06709591888360986, 0.06821384099449418, 0.06935533599924383, 0.07052401518895197, 0.07172356170604152, 0.07295765358600509, 0.07422988264408659, 0.07554367187160493, 0.07690219417452443, 0.07830829530767519, 0.07976442372245014, 0.08127256975729436, 0.0828342161748424, 0.08445030151648376 ], [ 0.04155449448392751, 0.041058567770120194, 0.040745704586797646, 0.04060574290936582, 0.04062609465021694, 0.040792441877995814, 0.04108948654546238, 0.04150167034005174, 0.042013799587692316, 0.042611535941164146, 0.04328173926264718, 0.04401266952051333, 0.044794067619783814, 0.045617141254284406, 0.04647448276756401, 0.04735994359507267, 0.04826848580491514, 0.04919602673558945, 0.05013928844558922, 0.05109565997721289, 0.052063077396797455, 0.053039924178581575, 0.05402495266515824, 0.05501722596556215, 0.05601607865207642, 0.057021093913173185, 0.058032094354856754, 0.05904914337153849, 0.06007255389703969, 0.06110290136993507, 0.06214103788417469, 0.06318810472737776, 0.06424554081966813, 0.06531508494154421, 0.06639877006711213, 0.06749890858735, 0.0686180677053482, 0.06975903479933825, 0.07092477306608082, 0.07211836826131639, 0.07334296782691478, 0.07460171411589664, 0.07589767377505129, 0.07723376559907098, 0.07861268931190983, 0.08003685774712202, 0.08150833478407235, 0.08302878115513702, 0.08459940988451449, 0.08622095267559363 ], [ 0.04436238274409751, 0.043833818104309204, 0.043477960550551246, 0.04328581472397181, 0.04324625725391368, 0.043346605820292365, 0.04357323894160214, 0.04391220289296831, 0.044349753416228425, 0.04487279740519281, 0.045469218496727096, 0.04612808662434155, 0.04683976310650892, 0.0475959194374075, 0.04838949038910452, 0.049214581525963995, 0.050066348964548084, 0.05094086613142103, 0.05183498901887584, 0.05274622838894227, 0.053672634707538365, 0.05461269935703514, 0.055565273863115126, 0.05652950743631625, 0.057504802018589964, 0.058490783192376265, 0.05948728471276789, 0.06049434402921567, 0.06151220594376627, 0.06254133148473301, 0.0635824091365946, 0.06463636573952258, 0.06570437463670699, 0.06678785898750929, 0.06788848856285844, 0.06900816878103139, 0.07014902121171648, 0.07131335525984371, 0.07250363122238349, 0.07372241537585705, 0.07497232818241127, 0.07625598708090954, 0.0775759456387617, 0.07893463106406136, 0.0803342822026076, 0.08177689016146611, 0.08326414360737504, 0.08479738058883403, 0.0863775484376581, 0.08800517293815201 ], [ 0.047205507515243945, 0.046643279181603874, 0.046243798638229784, 0.04599912603450675, 0.045899459642873806, 0.04593360318945908, 0.04608947935177988, 0.04635464086473774, 0.046716737454414535, 0.04716390861653621, 0.047685085782965514, 0.048270199893028255, 0.048910300094886644, 0.049597595645316246, 0.05032543628191163, 0.051088247081407245, 0.051881432883431486, 0.05270126546057546, 0.05354476429250805, 0.05440957941403444, 0.055293882563816406, 0.056196270865728475, 0.05711568556418341, 0.05805134690753703, 0.059002705112756314, 0.05996940642670712, 0.06095127260213374, 0.06194829160856722, 0.06296061708033217, 0.06398857384689428, 0.06503266687602578, 0.06609359106883331, 0.06717223955812378, 0.06826970845865678, 0.06938729638063847, 0.07052649742813413, 0.07168898684420151, 0.07287659891797611, 0.07409129721889435, 0.0753351376541138, 0.07661022524082436, 0.07791866583050001, 0.07926251430259765, 0.08064372094823322, 0.08206407787991828, 0.08352516732583758, 0.0850283135951948, 0.08657454033973813, 0.0881645344962273, 0.08979861799122324 ], [ 0.05007591011249739, 0.049479508943790974, 0.049036314576754975, 0.048739341143161405, 0.0485799781551521, 0.048548376362792627, 0.04863387445098069, 0.048825429393626614, 0.049112017261759254, 0.04948297917283434, 0.0499282967445573, 0.05043879091509397, 0.05100624593762828, 0.05162346608563455, 0.05228427604904366, 0.05298347747967006, 0.05371677414456654, 0.054480677168270195, 0.055272400311750375, 0.05608975346094565, 0.056931040690285976, 0.05779496755222123, 0.05868056068966325, 0.05958710150503624, 0.06051407445728489, 0.06146112959611735, 0.062428058175821345, 0.06341477961071638, 0.06442133763097325, 0.06544790325818502, 0.06649478213066176, 0.0675624237511359, 0.068651430386186, 0.06976256359672577, 0.07089674670217808, 0.07205506185702065, 0.07323874082790294, 0.07444914898371366, 0.07568776243260089, 0.07695613864248861, 0.07825588125006074, 0.07958860008347625, 0.08095586768420995, 0.08235917380295221, 0.08379987945651188, 0.08527917216284855, 0.08679802392035789, 0.08835715336972545, 0.08995699338150288, 0.09159766506299422 ], [ 0.05296649721009508, 0.05233587802376946, 0.05184935634666617, 0.051500808440707466, 0.05128269715286392, 0.05118639239160712, 0.05120252697374359, 0.051321359245160306, 0.05153311613645466, 0.05182829556725128, 0.052197913997334984, 0.05263369207688053, 0.053128177717133136, 0.053674810867211584, 0.054267937638380385, 0.05490278326411477, 0.05557539399443138, 0.05628255772497225, 0.05702171226569392, 0.057790848914858, 0.058588417609505075, 0.05941323850186944, 0.06026442344495641, 0.06114130960981276, 0.06204340633189356, 0.0629703553122881, 0.06392190349073974, 0.06489788726626275, 0.065898226266957, 0.06692292455835416, 0.06797207701979222, 0.06904587859686159, 0.0701446342379184, 0.07126876752401737, 0.07241882628356411, 0.07359548382376378, 0.07479953478978113, 0.07603188505929658, 0.07729353547659083, 0.07858555960951932, 0.07990907605982522, 0.0812652161594235, 0.08265508813144079, 0.08407973897689382, 0.08554011546000577, 0.08703702560510512, 0.08857110208657981, 0.09014276879521008, 0.09175221170730366, 0.0933993549786646 ], [ 0.05587097180088159, 0.05520650485511827, 0.05467746519752725, 0.054278508616057236, 0.0540030652392273, 0.05384360738973649, 0.05379194756734691, 0.05383954443718107, 0.053977795918702075, 0.054198301958681874, 0.05449308445823554, 0.05485475717643632, 0.05527664346508058, 0.055752843873835424, 0.0562782587516378, 0.056848572935920716, 0.05746021059242986, 0.05811026844450243, 0.05879643522534289, 0.059516904393430194, 0.06027028612581522, 0.06105552346525987, 0.061871816329755136, 0.06271855595783372, 0.06359527130257284, 0.06450158793269636, 0.06543719917284148, 0.06640184853245655, 0.06739532194284793, 0.06841744794705346, 0.0694681037637463, 0.07054722506440998, 0.07165481734803189, 0.07279096695080785, 0.07395584996904876, 0.07514973767938914, 0.07637299738962176, 0.07762608802504516, 0.07890955012955138, 0.08022399032097871, 0.08157006057096018, 0.08294843296877238, 0.0843597708661153, 0.08580469747825976, 0.087283763132279, 0.08879741240317883, 0.09034595236552313, 0.09192952311564354, 0.09354807159508079, 0.09520132957902533 ], [ 0.05878376293060726, 0.0580861888237807, 0.057515813465528504, 0.057067998137896474, 0.05673704515179213, 0.05651642318340215, 0.05639901792406421, 0.05637739080159936, 0.05644402913805175, 0.05659157342531784, 0.05681301087201585, 0.05710182836830444, 0.05745212195611307, 0.05785866335496629, 0.058316926830892755, 0.058823081623603383, 0.05937395629998457, 0.05996698188742992, 0.06060012059506007, 0.06127178649199833, 0.06198076380142542, 0.06272612758798146, 0.06350717064368289, 0.06432333937721525, 0.06517418053221982, 0.06605929964237271, 0.06697833130626378, 0.06793092065817562, 0.06891671483924688, 0.06993536284702051, 0.0709865218621523, 0.07206986801411358, 0.07318510954125136, 0.07433200040804902, 0.0755103526435599, 0.07672004593760312, 0.07796103335283078, 0.07923334235938016, 0.08053707075434093, 0.08187237737291056, 0.08323946781676221, 0.08463857570530867, 0.08606994018796377, 0.0875337806334986, 0.0890302695322655, 0.09055950470779728, 0.09212148193722206, 0.09371606902979172, 0.09534298231555742, 0.09700176636051658 ], [ 0.06169995591192972, 0.060970343280639314, 0.06036014128448286, 0.05986535045001255, 0.0594810601197146, 0.05920163927431413, 0.05902094836543591, 0.058932558605347365, 0.0589299654175113, 0.0590067842949796, 0.0591569197910603, 0.05937470134888599, 0.059654982750113494, 0.0599932047958031, 0.06038542320376616, 0.06082830550783845, 0.06131910195781075, 0.06185559608895677, 0.06243604083560087, 0.06305908589517512, 0.06372370159647497, 0.06442910386877808, 0.0651746841166916, 0.06595994693884119, 0.06678445773833908, 0.06764780140407138, 0.06854955243283886, 0.06948925614518192, 0.07046642004701865, 0.07148051392170626, 0.07253097691075905, 0.07361722965582065, 0.07473868952154002, 0.07589478698421015, 0.07708498143548762, 0.07830877489220145, 0.07956572239944938, 0.08085543824234732, 0.08217759742116537, 0.08353193217670146, 0.08491822366215689, 0.08633628913206674, 0.08778596524864063, 0.08926708828510742, 0.09077947213085233, 0.09232288507365696, 0.09389702635200636, 0.09550150343917609, 0.09713581094649412, 0.09879931192323121 ], [ 0.06461522424531589, 0.06385492978233948, 0.06320669380922363, 0.06266709680963789, 0.06223193892928502, 0.06189640262486125, 0.0616552325528062, 0.061502921940514765, 0.06143389474812139, 0.06144267396466712, 0.061524028163924306, 0.06167309068250089, 0.061885448180769444, 0.06215719765144883, 0.06248497296547291, 0.06286594367822526, 0.06329779001630713, 0.06377865873037318, 0.0643071048704421, 0.06488202457077212, 0.06550258368187095, 0.06616814661796884, 0.06687820915609391, 0.0676323381815681, 0.068430120573973, 0.06927112261426115, 0.07015486050994611, 0.07108078191870833, 0.07204825773175487, 0.0730565828795125, 0.07410498455713416, 0.07519263603996967, 0.07631867416524067, 0.07748221858354054, 0.07868239101504051, 0.07991833295900215, 0.08118922057861935, 0.08249427579338366, 0.08383277293673004, 0.08520404065870439, 0.08660745905587329, 0.08804245228103467, 0.08950847711429026, 0.09100500815844774, 0.09253152045265288, 0.09408747037779942, 0.0956722757577595, 0.09728529604533435, 0.09892581342672492, 0.10059301558975622 ], [ 0.06752576415872953, 0.06673639461113025, 0.06605216021880062, 0.06547016829710035, 0.06498686149574211, 0.06459815730358383, 0.06429960153540085, 0.06408652717207261, 0.0639542098933598, 0.0638980123457912, 0.06391351048396757, 0.06399659701566977, 0.06414355885952827, 0.06435112739691215, 0.06461650201542989, 0.0649373488962009, 0.06531177813378881, 0.06573830307743826, 0.06621578625401092, 0.06674337640329407, 0.06732044106196224, 0.0679464988151818, 0.06862115483903068, 0.06934404272807843, 0.07011477488702864, 0.07093290300899914, 0.07179788941053707, 0.07270908928532024, 0.07366574331014362, 0.07466697951549649, 0.07571182293717948, 0.0767992113034801, 0.07792801488320897, 0.0790970586143399, 0.08030514473474695, 0.08155107432545992, 0.0828336664299981, 0.0841517737077742, 0.08550429389324234, 0.08689017664607254, 0.08830842567474569, 0.08975809628371804, 0.09123828872333628, 0.09274813790582663, 0.09428680018704655, 0.09585343800164196, 0.09744720318080517, 0.09906721978045574, 0.10071256720855433, 0.10238226436949363 ], [ 0.07042823245578404, 0.06961160838699573, 0.06889361549064468, 0.06827184019841004, 0.06774330636363815, 0.06730459561751556, 0.066951978921526, 0.06668155231778772, 0.06648936980303369, 0.06637156673824354, 0.06632446816253794, 0.06634467767424898, 0.06642914402438511, 0.06657520409497605, 0.06678060238514263, 0.06704348841029482, 0.06736239447447483, 0.06773619707104055, 0.06816406569287412, 0.06864540309721252, 0.06917978109015704, 0.06976687569817339, 0.07040640521102223, 0.07109807404959462, 0.07184152477454818, 0.07263629985120687, 0.07348181406754677, 0.07437733780825083, 0.07532199075704685, 0.07631474506338416, 0.07735443659020218, 0.07843978256958913, 0.07956940383441409, 0.0807418497601418, 0.0819556241271053, 0.08320921028056336, 0.08450109420114588, 0.08582978437870585, 0.08719382768596937, 0.08859182075477937, 0.09002241665045074, 0.0914843269056243, 0.09297631920446965, 0.0944972111949839, 0.09604586104848709, 0.09762115548068277, 0.09922199599974607, 0.10084728415715347, 0.10249590655134883, 0.10416672027837715 ], [ 0.07331968819239092, 0.07247780939480515, 0.07172846570829089, 0.07106967968706218, 0.07049900123494163, 0.07001361199467167, 0.06961043857009276, 0.06928626883988945, 0.06903786553250132, 0.06886207157611778, 0.0687559024569357, 0.06871662182287663, 0.06874179775195134, 0.06882933835781468, 0.06897750663339472, 0.06918491555907012, 0.06945050546703736, 0.06977350642061021, 0.07015338891541767, 0.07058980653212492, 0.07108253427167684, 0.07163140619798468, 0.07223625572126936, 0.07289686140735858, 0.07361290062981095, 0.07438391273386499, 0.07520927269737396, 0.07608817559804491, 0.07701963156886023, 0.07800247037886678, 0.07903535434053327, 0.08011679793274284, 0.08124519234589953, 0.08241883309754086, 0.0836359489209838, 0.08489473027719542, 0.08619335605946533, 0.08753001732831281, 0.08890293720805931, 0.09031038637641646, 0.09175069386720383, 0.09322225317053733, 0.09472352384471129, 0.09625302904337944, 0.09780934950737305, 0.09939111467209481, 0.1009969916007276, 0.1026256724735862, 0.1042758613497443, 0.10594626087353569 ], [ 0.07619753856297516, 0.07533255108760017, 0.07455439746884479, 0.07386149749301828, 0.07325187734227247, 0.07272326055869566, 0.07227316584807843, 0.0718990069596758, 0.07159818979173263, 0.07136820212407088, 0.07120669193138549, 0.0711115310224696, 0.07108086170510027, 0.07111312521413216, 0.07120707168563728, 0.07136175244738921, 0.07157649627271478, 0.0718508719710753, 0.0721846402378207, 0.0725776980414787, 0.07303001898398093, 0.07354159303158395, 0.07411236879472846, 0.07474220115624652, 0.07543080653927625, 0.07617772750669596, 0.07698230773456849, 0.07784367774681462, 0.07876075117867219, 0.07973223078897308, 0.08075662299404865, 0.08183225936770716, 0.08295732334960779, 0.08412988032640516, 0.08534790928496859, 0.08660933436769655, 0.08791205486473691, 0.08925397243427265, 0.0906330146270705, 0.09204715408520214, 0.09349442306961986, 0.09497292323373083, 0.09648083079012171, 0.09801639740892146, 0.09957794733579058, 0.10116387132451259, 0.10277261804544106, 0.10440268365964982, 0.1060526002440272, 0.10772092371974683 ], [ 0.07905948925690147, 0.0781736540847905, 0.07736933178357455, 0.07664530403787169, 0.07600002823728581, 0.07543171705365354, 0.07493842318502296, 0.07451812527024601, 0.07416881090170772, 0.0738885528543122, 0.07367557508309489, 0.07352830567703222, 0.07344541473845213, 0.07342583602597948, 0.07346877209458609, 0.07357368353469904, 0.07374026370591638, 0.07396840104082282, 0.07425813153059181, 0.07460958437502087, 0.07502292397281524, 0.07549829143984388, 0.07603574868001851, 0.07663522771113347, 0.0772964874923509, 0.078019079944265, 0.07880232623695904, 0.07964530378852452, 0.08054684380835751, 0.08150553867386179, 0.08251975797602094, 0.0835876717292907, 0.08470727902414087, 0.08587644030594635, 0.08709291148238939, 0.08835437817677295, 0.08965848863608934, 0.09100288404771203, 0.09238522529492951, 0.09380321546867175, 0.09525461773332954, 0.09673726840473884, 0.09824908532801765, 0.09978807183568372, 0.10135231671894435, 0.10293999075665096, 0.10454934041863582, 0.10617867939603043, 0.10782637861488421, 0.10949085536578497 ] ] }, { "hoverinfo": "text", "legendgroup": "In-sample", "marker": { "color": "black", "opacity": 0.5, "symbol": 1 }, "mode": "markers", "name": "In-sample", "text": [ "Arm 0_0
l2norm: 1.15101 (SEM: 0)
x1: 0.761784
x2: 0.145794
x3: 0.680785
x4: 0.0927836
x5: 0.500378
x6: 0.0283619", "Arm 10_0
l2norm: 1.06848 (SEM: 0)
x1: 0.0163226
x2: 0.329739
x3: 0.644698
x4: 0.241429
x5: 0.340149
x6: 0.66561", "Arm 11_0
l2norm: 1.12521 (SEM: 0)
x1: 0.138077
x2: 0.214288
x3: 0.00295743
x4: 0.551849
x5: 0.162423
x6: 0.932842", "Arm 12_0
l2norm: 1.00868 (SEM: 0)
x1: 0
x2: 0.311011
x3: 0.638862
x4: 0.240118
x5: 0.394105
x6: 0.547353", "Arm 13_0
l2norm: 1.1106 (SEM: 0)
x1: 2.38953e-16
x2: 0.26318
x3: 0.675059
x4: 0.175802
x5: 0.364154
x6: 0.738206", "Arm 14_0
l2norm: 1.08246 (SEM: 0)
x1: 9.08834e-18
x2: 0.355257
x3: 0.677436
x4: 0.297335
x5: 0.22865
x6: 0.667765", "Arm 15_0
l2norm: 1.12407 (SEM: 0)
x1: 0.0161322
x2: 0.430962
x3: 0.599003
x4: 0.267143
x5: 0.418351
x6: 0.68729", "Arm 16_0
l2norm: 1.00785 (SEM: 0)
x1: 0.0834731
x2: 0.259304
x3: 0.614688
x4: 0.223776
x5: 0.309589
x6: 0.646376", "Arm 17_0
l2norm: 0.945735 (SEM: 0)
x1: 0.110299
x2: 0.209659
x3: 0.582877
x4: 0.132389
x5: 0.277396
x6: 0.635667", "Arm 18_0
l2norm: 1.05336 (SEM: 0)
x1: 0.116671
x2: 0.199314
x3: 0.662457
x4: 0.282671
x5: 0.340721
x6: 0.649146", "Arm 19_0
l2norm: 0.988239 (SEM: 0)
x1: 0.0891991
x2: 0.187592
x3: 0.560033
x4: 0.292964
x5: 0.33199
x6: 0.650988", "Arm 1_0
l2norm: 1.32819 (SEM: 0)
x1: 0.413824
x2: 0.709716
x3: 0.65934
x4: 0.486394
x5: 0.644617
x6: 0.0478884", "Arm 20_0
l2norm: 0.963665 (SEM: 0)
x1: 0.137508
x2: 0.194576
x3: 0.483965
x4: 0.319568
x5: 0.343251
x6: 0.646308", "Arm 21_0
l2norm: 0.958736 (SEM: 0)
x1: 0.117678
x2: 0.183252
x3: 0.44669
x4: 0.273578
x5: 0.407767
x6: 0.656578", "Arm 22_0
l2norm: 0.929763 (SEM: 0)
x1: 0.139702
x2: 0.16501
x3: 0.479932
x4: 0.339857
x5: 0.297946
x6: 0.618955", "Arm 23_0
l2norm: 0.978463 (SEM: 0)
x1: 0.150209
x2: 0.185686
x3: 0.500008
x4: 0.321413
x5: 0.306202
x6: 0.673256", "Arm 24_0
l2norm: 0.981731 (SEM: 0)
x1: 0.190863
x2: 0.209314
x3: 0.517258
x4: 0.307743
x5: 0.305093
x6: 0.654379", "Arm 25_0
l2norm: 0.998082 (SEM: 0)
x1: 0.237271
x2: 0.152442
x3: 0.517618
x4: 0.330489
x5: 0.317811
x6: 0.662176", "Arm 26_0
l2norm: 0.96141 (SEM: 0)
x1: 0.204356
x2: 0.174187
x3: 0.491599
x4: 0.281326
x5: 0.309913
x6: 0.659809", "Arm 27_0
l2norm: 0.927635 (SEM: 0)
x1: 0.228294
x2: 0.1654
x3: 0.424118
x4: 0.267075
x5: 0.308045
x6: 0.659495", "Arm 28_0
l2norm: 0.937691 (SEM: 0)
x1: 0.195391
x2: 0.130766
x3: 0.473422
x4: 0.268087
x5: 0.309366
x6: 0.657481", "Arm 2_0
l2norm: 1.49029 (SEM: 0)
x1: 0.96206
x2: 0.361653
x3: 0.786802
x4: 0.137625
x5: 0.153775
x6: 0.7092", "Arm 3_0
l2norm: 1.30143 (SEM: 0)
x1: 0.288179
x2: 0.907788
x3: 0.122986
x4: 0.748426
x5: 0.443253
x6: 0.121876", "Arm 4_0
l2norm: 1.51304 (SEM: 0)
x1: 0.395798
x2: 0.823228
x3: 0.974181
x4: 0.218722
x5: 0.0917164
x6: 0.67056", "Arm 5_0
l2norm: 1.70627 (SEM: 0)
x1: 0.155671
x2: 0.422722
x3: 0.947155
x4: 0.931438
x5: 0.352817
x6: 0.90514", "Arm 6_0
l2norm: 1.41714 (SEM: 0)
x1: 0.677082
x2: 0.595692
x3: 0.454348
x4: 0.359513
x5: 0.816667
x6: 0.438615", "Arm 7_0
l2norm: 1.04052 (SEM: 0)
x1: 0.0646402
x2: 0.435102
x3: 0.118788
x4: 0.218109
x5: 0.106389
x6: 0.903427", "Arm 8_0
l2norm: 1.53193 (SEM: 0)
x1: 0.604203
x2: 0.795868
x3: 0.525287
x4: 0.395679
x5: 0.846682
x6: 0.44609", "Arm 9_0
l2norm: 1.83851 (SEM: 0)
x1: 0.605462
x2: 0.702385
x3: 0.821273
x4: 0.683334
x5: 0.642168
x6: 0.983054" ], "type": "scatter", "x": [ 0.7617841958999634, 0.016322550363838673, 0.13807749841362238, 0.0, 2.3895275663679794e-16, 9.088337199323674e-18, 0.01613215906920537, 0.08347313198938679, 0.11029884164152548, 0.11667149040947723, 0.08919913333741854, 0.41382386442273855, 0.13750790283806522, 0.11767794210740189, 0.13970165093855563, 0.15020925395409027, 0.1908630574819449, 0.23727126116253558, 0.20435615372386134, 0.22829361240962923, 0.19539133116559393, 0.9620602056384087, 0.28817926719784737, 0.3957977071404457, 0.1556708011776209, 0.6770819462835789, 0.06464018020778894, 0.6042034765705466, 0.6054618824273348 ], "xaxis": "x", "y": [ 0.14579440653324127, 0.32973938435316086, 0.21428837347775698, 0.31101081720705076, 0.2631801572697603, 0.35525749262550244, 0.4309622064455951, 0.2593039692834403, 0.2096594136469551, 0.1993143160436715, 0.18759243234301096, 0.7097159186378121, 0.19457587542062196, 0.1832522147598788, 0.1650096492335791, 0.18568588189856197, 0.20931390075013828, 0.15244154380123182, 0.1741866509399988, 0.16539989180520545, 0.13076645318512956, 0.36165320686995983, 0.9077879944816232, 0.8232284663245082, 0.42272174172103405, 0.59569192212075, 0.43510220386087894, 0.7958682095631957, 0.7023846451193094 ], "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: 1.15101 (SEM: 0)
x1: 0.761784
x2: 0.145794
x3: 0.680785
x4: 0.0927836
x5: 0.500378
x6: 0.0283619", "Arm 10_0
l2norm: 1.06848 (SEM: 0)
x1: 0.0163226
x2: 0.329739
x3: 0.644698
x4: 0.241429
x5: 0.340149
x6: 0.66561", "Arm 11_0
l2norm: 1.12521 (SEM: 0)
x1: 0.138077
x2: 0.214288
x3: 0.00295743
x4: 0.551849
x5: 0.162423
x6: 0.932842", "Arm 12_0
l2norm: 1.00868 (SEM: 0)
x1: 0
x2: 0.311011
x3: 0.638862
x4: 0.240118
x5: 0.394105
x6: 0.547353", "Arm 13_0
l2norm: 1.1106 (SEM: 0)
x1: 2.38953e-16
x2: 0.26318
x3: 0.675059
x4: 0.175802
x5: 0.364154
x6: 0.738206", "Arm 14_0
l2norm: 1.08246 (SEM: 0)
x1: 9.08834e-18
x2: 0.355257
x3: 0.677436
x4: 0.297335
x5: 0.22865
x6: 0.667765", "Arm 15_0
l2norm: 1.12407 (SEM: 0)
x1: 0.0161322
x2: 0.430962
x3: 0.599003
x4: 0.267143
x5: 0.418351
x6: 0.68729", "Arm 16_0
l2norm: 1.00785 (SEM: 0)
x1: 0.0834731
x2: 0.259304
x3: 0.614688
x4: 0.223776
x5: 0.309589
x6: 0.646376", "Arm 17_0
l2norm: 0.945735 (SEM: 0)
x1: 0.110299
x2: 0.209659
x3: 0.582877
x4: 0.132389
x5: 0.277396
x6: 0.635667", "Arm 18_0
l2norm: 1.05336 (SEM: 0)
x1: 0.116671
x2: 0.199314
x3: 0.662457
x4: 0.282671
x5: 0.340721
x6: 0.649146", "Arm 19_0
l2norm: 0.988239 (SEM: 0)
x1: 0.0891991
x2: 0.187592
x3: 0.560033
x4: 0.292964
x5: 0.33199
x6: 0.650988", "Arm 1_0
l2norm: 1.32819 (SEM: 0)
x1: 0.413824
x2: 0.709716
x3: 0.65934
x4: 0.486394
x5: 0.644617
x6: 0.0478884", "Arm 20_0
l2norm: 0.963665 (SEM: 0)
x1: 0.137508
x2: 0.194576
x3: 0.483965
x4: 0.319568
x5: 0.343251
x6: 0.646308", "Arm 21_0
l2norm: 0.958736 (SEM: 0)
x1: 0.117678
x2: 0.183252
x3: 0.44669
x4: 0.273578
x5: 0.407767
x6: 0.656578", "Arm 22_0
l2norm: 0.929763 (SEM: 0)
x1: 0.139702
x2: 0.16501
x3: 0.479932
x4: 0.339857
x5: 0.297946
x6: 0.618955", "Arm 23_0
l2norm: 0.978463 (SEM: 0)
x1: 0.150209
x2: 0.185686
x3: 0.500008
x4: 0.321413
x5: 0.306202
x6: 0.673256", "Arm 24_0
l2norm: 0.981731 (SEM: 0)
x1: 0.190863
x2: 0.209314
x3: 0.517258
x4: 0.307743
x5: 0.305093
x6: 0.654379", "Arm 25_0
l2norm: 0.998082 (SEM: 0)
x1: 0.237271
x2: 0.152442
x3: 0.517618
x4: 0.330489
x5: 0.317811
x6: 0.662176", "Arm 26_0
l2norm: 0.96141 (SEM: 0)
x1: 0.204356
x2: 0.174187
x3: 0.491599
x4: 0.281326
x5: 0.309913
x6: 0.659809", "Arm 27_0
l2norm: 0.927635 (SEM: 0)
x1: 0.228294
x2: 0.1654
x3: 0.424118
x4: 0.267075
x5: 0.308045
x6: 0.659495", "Arm 28_0
l2norm: 0.937691 (SEM: 0)
x1: 0.195391
x2: 0.130766
x3: 0.473422
x4: 0.268087
x5: 0.309366
x6: 0.657481", "Arm 2_0
l2norm: 1.49029 (SEM: 0)
x1: 0.96206
x2: 0.361653
x3: 0.786802
x4: 0.137625
x5: 0.153775
x6: 0.7092", "Arm 3_0
l2norm: 1.30143 (SEM: 0)
x1: 0.288179
x2: 0.907788
x3: 0.122986
x4: 0.748426
x5: 0.443253
x6: 0.121876", "Arm 4_0
l2norm: 1.51304 (SEM: 0)
x1: 0.395798
x2: 0.823228
x3: 0.974181
x4: 0.218722
x5: 0.0917164
x6: 0.67056", "Arm 5_0
l2norm: 1.70627 (SEM: 0)
x1: 0.155671
x2: 0.422722
x3: 0.947155
x4: 0.931438
x5: 0.352817
x6: 0.90514", "Arm 6_0
l2norm: 1.41714 (SEM: 0)
x1: 0.677082
x2: 0.595692
x3: 0.454348
x4: 0.359513
x5: 0.816667
x6: 0.438615", "Arm 7_0
l2norm: 1.04052 (SEM: 0)
x1: 0.0646402
x2: 0.435102
x3: 0.118788
x4: 0.218109
x5: 0.106389
x6: 0.903427", "Arm 8_0
l2norm: 1.53193 (SEM: 0)
x1: 0.604203
x2: 0.795868
x3: 0.525287
x4: 0.395679
x5: 0.846682
x6: 0.44609", "Arm 9_0
l2norm: 1.83851 (SEM: 0)
x1: 0.605462
x2: 0.702385
x3: 0.821273
x4: 0.683334
x5: 0.642168
x6: 0.983054" ], "type": "scatter", "x": [ 0.7617841958999634, 0.016322550363838673, 0.13807749841362238, 0.0, 2.3895275663679794e-16, 9.088337199323674e-18, 0.01613215906920537, 0.08347313198938679, 0.11029884164152548, 0.11667149040947723, 0.08919913333741854, 0.41382386442273855, 0.13750790283806522, 0.11767794210740189, 0.13970165093855563, 0.15020925395409027, 0.1908630574819449, 0.23727126116253558, 0.20435615372386134, 0.22829361240962923, 0.19539133116559393, 0.9620602056384087, 0.28817926719784737, 0.3957977071404457, 0.1556708011776209, 0.6770819462835789, 0.06464018020778894, 0.6042034765705466, 0.6054618824273348 ], "xaxis": "x2", "y": [ 0.14579440653324127, 0.32973938435316086, 0.21428837347775698, 0.31101081720705076, 0.2631801572697603, 0.35525749262550244, 0.4309622064455951, 0.2593039692834403, 0.2096594136469551, 0.1993143160436715, 0.18759243234301096, 0.7097159186378121, 0.19457587542062196, 0.1832522147598788, 0.1650096492335791, 0.18568588189856197, 0.20931390075013828, 0.15244154380123182, 0.1741866509399988, 0.16539989180520545, 0.13076645318512956, 0.36165320686995983, 0.9077879944816232, 0.8232284663245082, 0.42272174172103405, 0.59569192212075, 0.43510220386087894, 0.7958682095631957, 0.7023846451193094 ], "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" } ], "heatmapgl": [ { "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": "heatmapgl" } ], "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" } ], "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": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "render(plot_contour(model=model, param_x=\"x1\", param_y=\"x2\", metric_name=\"l2norm\"))" ] }, { "cell_type": "markdown", "id": "0bb8536c", "metadata": { "papermill": { "duration": 0.069656, "end_time": "2024-03-01T16:33:52.331780", "exception": false, "start_time": "2024-03-01T16:33:52.262124", "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": "8d9d02ad", "metadata": { "execution": { "iopub.execute_input": "2024-03-01T16:33:52.473411Z", "iopub.status.busy": "2024-03-01T16:33:52.472932Z", "iopub.status.idle": "2024-03-01T16:33:52.523859Z", "shell.execute_reply": "2024-03-01T16:33:52.523152Z" }, "papermill": { "duration": 0.123742, "end_time": "2024-03-01T16:33:52.525233", "exception": false, "start_time": "2024-03-01T16:33:52.401491", "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": [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ], "y": [ -0.016502392564200954, -2.2634423889896396, -2.2634423889896396, -2.2634423889896396, -2.2634423889896396, -2.2634423889896396, -2.2634423889896396, -2.2634423889896396, -2.2634423889896396, -2.2634423889896396, -2.3695568574300228, -2.3695568574300228, -2.3695568574300228, -2.3695568574300228, -2.3695568574300228, -2.3695568574300228, -2.8035969616338856, -2.8035969616338856, -2.826011540335378, -3.0619266866568395, -3.1409975707060775, -3.1409975707060775, -3.1409975707060775, -3.1994080637542117, -3.2319918098016123, -3.2319918098016123, -3.312241012435263, -3.312241012435263, -3.3157030196467008, -3.3157030196467008 ] }, { "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": [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ], "y": [ -0.016502392564200954, -2.2634423889896396, -2.2634423889896396, -2.2634423889896396, -2.2634423889896396, -2.2634423889896396, -2.2634423889896396, -2.2634423889896396, -2.2634423889896396, -2.2634423889896396, -2.3695568574300228, -2.3695568574300228, -2.3695568574300228, -2.3695568574300228, -2.3695568574300228, -2.3695568574300228, -2.8035969616338856, -2.8035969616338856, -2.826011540335378, -3.0619266866568395, -3.1409975707060775, -3.1409975707060775, -3.1409975707060775, -3.1994080637542117, -3.2319918098016123, -3.2319918098016123, -3.312241012435263, -3.312241012435263, -3.3157030196467008, -3.3157030196467008 ] }, { "fill": "tonexty", "fillcolor": "rgba(128,177,211,0.3)", "hoverinfo": "none", "legendgroup": "", "line": { "width": 0 }, "mode": "lines", "showlegend": false, "type": "scatter", "x": [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 ], "y": [ -0.016502392564200954, -2.2634423889896396, -2.2634423889896396, -2.2634423889896396, -2.2634423889896396, -2.2634423889896396, -2.2634423889896396, -2.2634423889896396, -2.2634423889896396, -2.2634423889896396, -2.3695568574300228, -2.3695568574300228, -2.3695568574300228, -2.3695568574300228, -2.3695568574300228, -2.3695568574300228, -2.8035969616338856, -2.8035969616338856, -2.826011540335378, -3.0619266866568395, -3.1409975707060775, -3.1409975707060775, -3.1409975707060775, -3.1994080637542117, -3.2319918098016123, -3.2319918098016123, -3.312241012435263, -3.312241012435263, -3.3157030196467008, -3.3157030196467008 ] }, { "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" } ], "heatmapgl": [ { "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": "heatmapgl" } ], "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" } ], "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": [ "
" ] }, "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": "3.9.18" }, "papermill": { "default_parameters": {}, "duration": 130.331543, "end_time": "2024-03-01T16:33:54.143466", "environment_variables": {}, "exception": null, "input_path": "/tmp/tmp.KbiES6I0qN/Ax-main/tutorials/gpei_hartmann_loop.ipynb", "output_path": "/tmp/tmp.KbiES6I0qN/Ax-main/tutorials/gpei_hartmann_loop.ipynb", "parameters": {}, "start_time": "2024-03-01T16:31:43.811923", "version": "2.5.0" } }, "nbformat": 4, "nbformat_minor": 5 }