{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Service API Example on Hartmann6\n", "\n", "The Ax Service API is designed to allow the user to control scheduling of trials and data computation while having an easy to use interface with Ax.\n", "\n", "The user iteratively:\n", "- Queries Ax for candidates\n", "- Schedules / deploys them however they choose\n", "- Computes data and logs to Ax\n", "- Repeat" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:05] ipy_plotting: Injecting Plotly library into cell. Do not overwrite or delete cell.\n" ] }, { "data": { "text/html": [ " \n", " " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from ax.service.ax_client import AxClient\n", "from ax.utils.measurement.synthetic_functions import hartmann6\n", "from ax.utils.notebook.plotting import render, init_notebook_plotting\n", "\n", "init_notebook_plotting()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Initialize client\n", "\n", "Create a client object to interface with Ax APIs. By default this runs locally without storage." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:05] ax.service.ax_client: Starting optimization with verbose logging. To disable logging, set the `verbose_logging` argument to `False`. Note that float values in the logs are rounded to 2 decimal points.\n" ] } ], "source": [ "ax_client = AxClient()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Set up experiment\n", "An experiment consists of a **search space** (parameters and parameter constraints) and **optimization configuration** (objective name, minimization setting, and outcome constraints). Note that:\n", "- Only `name`, `parameters`, and `objective_name` arguments are required.\n", "- Dictionaries in `parameters` have the following required keys: \"name\" - parameter name, \"type\" - parameter type (\"range\", \"choice\" or \"fixed\"), \"bounds\" for range parameters, \"values\" for choice parameters, and \"value\" for fixed parameters.\n", "- Dictionaries in `parameters` can optionally include \"value_type\" (\"int\", \"float\", \"bool\" or \"str\"), \"log_scale\" flag for range parameters, and \"is_ordered\" flag for choice parameters.\n", "- `parameter_constraints` should be a list of strings of form \"p1 >= p2\" or \"p1 + p2 <= some_bound\".\n", "- `outcome_constraints` should be a list of strings of form \"constrained_metric <= some_bound\"." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:05] ax.modelbridge.dispatch_utils: Using Bayesian Optimization generation strategy: GenerationStrategy(name='Sobol+GPEI', steps=[Sobol for 6 arms, GPEI for subsequent arms], generated 0 arm(s) so far). Iterations after 6 will take longer to generate due to model-fitting.\n" ] } ], "source": [ "ax_client.create_experiment(\n", " name=\"hartmann_test_experiment\",\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", " objective_name=\"hartmann6\",\n", " minimize=True, # Optional, defaults to False.\n", " parameter_constraints=[\"x1 + x2 <= 2.0\"], # Optional.\n", " outcome_constraints=[\"l2norm <= 1.25\"], # Optional.\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Define how to evaluate trials\n", "When using Ax a service, evaluation of parameterizations suggested by Ax is done either locally or, more commonly, using an external scheduler. Below is a dummy evaluation function that outputs data for two metrics \"hartmann6\" and \"l2norm\". Note that all returned metrics correspond to either the `objective_name` set on experiment creation or the metric names mentioned in `outcome_constraints`." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "def evaluate(parameters):\n", " x = np.array([parameters.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", "metadata": {}, "source": [ "Result of the evaluation should generally be a mapping of the format: `{metric_name -> (mean, SEM)}`. 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._ \n", "\n", "For more details on evaluation function, refer to the \"Trial Evaluation\" section in the Ax docs at [ax.dev](https://ax.dev/)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4. Run optimization loop\n", "With the experiment set up, we can start the optimization loop.\n", "\n", "At each step, the user queries the client for a new trial then submits the evaluation of that trial back to the client.\n", "\n", "Note that Ax auto-selects an appropriate optimization algorithm based on the search space. For more advance use cases that require a specific optimization algorithm, pass a `generation_strategy` argument into the `AxClient` constructor. Note that when Bayesian Optimization is used, generating new trials may take a few minutes." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:05] ax.service.ax_client: Generated new trial 0 with parameters {'x1': 0.31, 'x2': 0.41, 'x3': 0.58, 'x4': 0.62, 'x5': 0.83, 'x6': 0.97}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:05] ax.service.ax_client: Completed trial 0 with data: {'hartmann6': (-0.06, 0.0), 'l2norm': (1.62, 0.0)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:05] ax.service.ax_client: Generated new trial 1 with parameters {'x1': 0.78, 'x2': 0.19, 'x3': 0.89, 'x4': 0.86, 'x5': 0.58, 'x6': 0.4}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:05] ax.service.ax_client: Completed trial 1 with data: {'hartmann6': (-0.01, 0.0), 'l2norm': (1.63, 0.0)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:05] ax.service.ax_client: Generated new trial 2 with parameters {'x1': 0.51, 'x2': 0.66, 'x3': 0.42, 'x4': 0.95, 'x5': 0.44, 'x6': 0.7}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:05] ax.service.ax_client: Completed trial 2 with data: {'hartmann6': (-0.02, 0.0), 'l2norm': (1.57, 0.0)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:05] ax.service.ax_client: Generated new trial 3 with parameters {'x1': 0.39, 'x2': 0.32, 'x3': 0.42, 'x4': 0.44, 'x5': 0.0, 'x6': 0.13}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:05] ax.service.ax_client: Completed trial 3 with data: {'hartmann6': (-0.23, 0.0), 'l2norm': (0.8, 0.0)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:05] ax.service.ax_client: Generated new trial 4 with parameters {'x1': 0.89, 'x2': 0.36, 'x3': 0.61, 'x4': 0.56, 'x5': 0.6, 'x6': 0.72}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:05] ax.service.ax_client: Completed trial 4 with data: {'hartmann6': (-0.09, 0.0), 'l2norm': (1.57, 0.0)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:05] ax.service.ax_client: Generated new trial 5 with parameters {'x1': 0.12, 'x2': 0.69, 'x3': 0.53, 'x4': 0.07, 'x5': 0.65, 'x6': 0.94}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:05] ax.service.ax_client: Completed trial 5 with data: {'hartmann6': (-0.21, 0.0), 'l2norm': (1.44, 0.0)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:11] ax.service.ax_client: Generated new trial 6 with parameters {'x1': 0.35, 'x2': 0.32, 'x3': 0.38, 'x4': 0.25, 'x5': 0.0, 'x6': 0.09}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:11] ax.service.ax_client: Completed trial 6 with data: {'hartmann6': (-0.13, 0.0), 'l2norm': (0.67, 0.0)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:16] ax.service.ax_client: Generated new trial 7 with parameters {'x1': 0.38, 'x2': 0.29, 'x3': 0.42, 'x4': 0.57, 'x5': 0.0, 'x6': 0.09}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:16] ax.service.ax_client: Completed trial 7 with data: {'hartmann6': (-0.2, 0.0), 'l2norm': (0.86, 0.0)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:21] ax.service.ax_client: Generated new trial 8 with parameters {'x1': 0.43, 'x2': 0.37, 'x3': 0.47, 'x4': 0.47, 'x5': 0.0, 'x6': 0.27}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:21] ax.service.ax_client: Completed trial 8 with data: {'hartmann6': (-0.28, 0.0), 'l2norm': (0.92, 0.0)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:26] ax.service.ax_client: Generated new trial 9 with parameters {'x1': 0.57, 'x2': 0.38, 'x3': 0.51, 'x4': 0.46, 'x5': 0.0, 'x6': 0.28}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:26] ax.service.ax_client: Completed trial 9 with data: {'hartmann6': (-0.19, 0.0), 'l2norm': (1.0, 0.0)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:30] ax.service.ax_client: Generated new trial 10 with parameters {'x1': 0.35, 'x2': 0.39, 'x3': 0.49, 'x4': 0.48, 'x5': 0.0, 'x6': 0.34}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:30] ax.service.ax_client: Completed trial 10 with data: {'hartmann6': (-0.3, 0.0), 'l2norm': (0.93, 0.0)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:33] ax.service.ax_client: Generated new trial 11 with parameters {'x1': 0.35, 'x2': 0.43, 'x3': 0.37, 'x4': 0.49, 'x5': 0.0, 'x6': 0.35}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:33] ax.service.ax_client: Completed trial 11 with data: {'hartmann6': (-0.3, 0.0), 'l2norm': (0.9, 0.0)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:37] ax.service.ax_client: Generated new trial 12 with parameters {'x1': 0.35, 'x2': 0.53, 'x3': 0.46, 'x4': 0.49, 'x5': 0.0, 'x6': 0.28}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:37] ax.service.ax_client: Completed trial 12 with data: {'hartmann6': (-0.54, 0.0), 'l2norm': (0.96, 0.0)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:41] ax.service.ax_client: Generated new trial 13 with parameters {'x1': 0.32, 'x2': 0.58, 'x3': 0.5, 'x4': 0.5, 'x5': 0.0, 'x6': 0.22}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:41] ax.service.ax_client: Completed trial 13 with data: {'hartmann6': (-0.84, 0.0), 'l2norm': (0.99, 0.0)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:45] ax.service.ax_client: Generated new trial 14 with parameters {'x1': 0.29, 'x2': 0.61, 'x3': 0.54, 'x4': 0.52, 'x5': 0.0, 'x6': 0.16}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:45] ax.service.ax_client: Completed trial 14 with data: {'hartmann6': (-1.14, 0.0), 'l2norm': (1.02, 0.0)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:49] ax.service.ax_client: Generated new trial 15 with parameters {'x1': 0.23, 'x2': 0.67, 'x3': 0.59, 'x4': 0.55, 'x5': 0.0, 'x6': 0.08}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:49] ax.service.ax_client: Completed trial 15 with data: {'hartmann6': (-1.31, 0.0), 'l2norm': (1.08, 0.0)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:52] ax.service.ax_client: Generated new trial 16 with parameters {'x1': 0.32, 'x2': 0.71, 'x3': 0.54, 'x4': 0.55, 'x5': 0.0, 'x6': 0.04}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:52] ax.service.ax_client: Completed trial 16 with data: {'hartmann6': (-2.17, 0.0), 'l2norm': (1.09, 0.0)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:57] ax.service.ax_client: Generated new trial 17 with parameters {'x1': 0.37, 'x2': 0.76, 'x3': 0.51, 'x4': 0.56, 'x5': 0.0, 'x6': 0.0}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:30:57] ax.service.ax_client: Completed trial 17 with data: {'hartmann6': (-2.71, 0.0), 'l2norm': (1.14, 0.0)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:31:02] ax.service.ax_client: Generated new trial 18 with parameters {'x1': 0.43, 'x2': 0.82, 'x3': 0.49, 'x4': 0.57, 'x5': 0.0, 'x6': 0.0}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:31:02] ax.service.ax_client: Completed trial 18 with data: {'hartmann6': (-3.0, 0.0), 'l2norm': (1.19, 0.0)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:31:07] ax.service.ax_client: Generated new trial 19 with parameters {'x1': 0.44, 'x2': 0.89, 'x3': 0.42, 'x4': 0.5, 'x5': 0.0, 'x6': 0.0}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:31:07] ax.service.ax_client: Completed trial 19 with data: {'hartmann6': (-2.87, 0.0), 'l2norm': (1.18, 0.0)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:31:12] ax.service.ax_client: Generated new trial 20 with parameters {'x1': 0.49, 'x2': 0.83, 'x3': 0.5, 'x4': 0.57, 'x5': 0.0, 'x6': 0.0}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:31:12] ax.service.ax_client: Completed trial 20 with data: {'hartmann6': (-2.67, 0.0), 'l2norm': (1.23, 0.0)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:31:17] ax.service.ax_client: Generated new trial 21 with parameters {'x1': 0.4, 'x2': 0.87, 'x3': 0.46, 'x4': 0.63, 'x5': 0.0, 'x6': 0.0}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:31:17] ax.service.ax_client: Completed trial 21 with data: {'hartmann6': (-3.0, 0.0), 'l2norm': (1.23, 0.0)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:31:22] ax.service.ax_client: Generated new trial 22 with parameters {'x1': 0.41, 'x2': 0.86, 'x3': 0.52, 'x4': 0.57, 'x5': 0.0, 'x6': 0.0}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:31:22] ax.service.ax_client: Completed trial 22 with data: {'hartmann6': (-3.1, 0.0), 'l2norm': (1.23, 0.0)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:31:24] ax.service.ax_client: Generated new trial 23 with parameters {'x1': 0.41, 'x2': 0.87, 'x3': 0.54, 'x4': 0.55, 'x5': 0.06, 'x6': 0.0}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:31:24] ax.service.ax_client: Completed trial 23 with data: {'hartmann6': (-3.09, 0.0), 'l2norm': (1.23, 0.0)}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:31:26] ax.service.ax_client: Generated new trial 24 with parameters {'x1': 0.4, 'x2': 0.87, 'x3': 0.55, 'x4': 0.55, 'x5': 0.01, 'x6': 0.05}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:31:26] ax.service.ax_client: Completed trial 24 with data: {'hartmann6': (-3.15, 0.0), 'l2norm': (1.23, 0.0)}.\n" ] } ], "source": [ "for i in range(25):\n", " parameters, trial_index = ax_client.get_next_trial()\n", " # Local evaluation here can be replaced with deployment to external system.\n", " ax_client.complete_trial(trial_index=trial_index, raw_data=evaluate(parameters))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To view all trials in a data frame at any point during optimization:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/travis/virtualenv/python3.6.7/lib/python3.6/site-packages/pandas/core/reshape/merge.py:617: UserWarning:\n", "\n", "merging between different levels can give an unintended result (2 levels on the left, 1 on the right)\n", "\n" ] }, { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
arm_namehartmann6l2normtrial_indexx1x2x3x4x5x6
00_0-0.06062991.6175900.3109060.4074440.5822230.6176498.295004e-019.723035e-01
31_0-0.005726231.6318410.7814680.1877810.8880980.8558075.820131e-013.963242e-01
152_0-0.01639621.5687220.5079820.6565420.4238990.9543834.363919e-017.005734e-01
183_0-0.2338850.8001530.3859360.3165290.4231100.4429061.759466e-031.261393e-01
194_0-0.09188331.5742940.8924420.3553380.6058930.5553045.992248e-017.218899e-01
205_0-0.2143111.4364750.1171730.6871100.5287160.0710176.469737e-019.351199e-01
216_0-0.1328020.66608460.3494950.3227720.3818690.2504791.292763e-049.368020e-02
227_0-0.2004590.85958770.3773130.2882880.4205220.5737582.045889e-168.588981e-02
238_0-0.2797280.91549380.4295840.3732760.4653430.4742298.915081e-182.698401e-01
249_0-0.1908841.0039390.5655770.3751140.5075650.4596241.071711e-162.800346e-01
110_0-0.2956340.933772100.3489570.3947330.4940810.4812027.790745e-183.444897e-01
211_0-0.3003620.900709110.3523220.4348230.3662250.4898210.000000e+003.521782e-01
412_0-0.5416190.962302120.3503190.5277070.4556180.4880060.000000e+002.812296e-01
513_0-0.8404370.991107130.3196390.5750550.4989600.5016950.000000e+002.208544e-01
614_0-1.13641.0215140.2861350.6123750.5395280.5198653.278844e-171.588770e-01
715_0-1.311731.07973150.2326710.6705820.5940630.5498152.331421e-148.236678e-02
816_0-2.168811.09274160.3171950.7062510.5390440.5503333.693922e-173.525614e-02
917_0-2.708051.13871170.3690630.7618820.5145760.5614360.000000e+000.000000e+00
1018_0-2.996951.19499180.4279900.8235950.4868120.5740391.968971e-135.488203e-13
1119_0-2.871231.18322190.4368660.8878700.4166390.4972463.693059e-096.385638e-09
1220_0-2.673881.22702200.4916380.8292620.5048350.5668584.156778e-143.156853e-14
1321_0-3.000491.23231210.3961280.8686200.4575940.6306930.000000e+003.061767e-14
1422_0-3.101611.22629220.4077840.8621400.5228710.5664122.218278e-166.731504e-16
1623_0-3.09151.22998230.4052110.8665500.5427700.5470676.213968e-021.770796e-13
1724_0-3.145941.23316240.4048000.8683070.5468480.5483251.473532e-025.418825e-02
\n", "
" ], "text/plain": [ " arm_name hartmann6 l2norm trial_index x1 x2 x3 \\\n", "0 0_0 -0.0606299 1.61759 0 0.310906 0.407444 0.582223 \n", "3 1_0 -0.00572623 1.63184 1 0.781468 0.187781 0.888098 \n", "15 2_0 -0.0163962 1.56872 2 0.507982 0.656542 0.423899 \n", "18 3_0 -0.233885 0.80015 3 0.385936 0.316529 0.423110 \n", "19 4_0 -0.0918833 1.57429 4 0.892442 0.355338 0.605893 \n", "20 5_0 -0.214311 1.43647 5 0.117173 0.687110 0.528716 \n", "21 6_0 -0.132802 0.666084 6 0.349495 0.322772 0.381869 \n", "22 7_0 -0.200459 0.859587 7 0.377313 0.288288 0.420522 \n", "23 8_0 -0.279728 0.915493 8 0.429584 0.373276 0.465343 \n", "24 9_0 -0.190884 1.00393 9 0.565577 0.375114 0.507565 \n", "1 10_0 -0.295634 0.933772 10 0.348957 0.394733 0.494081 \n", "2 11_0 -0.300362 0.900709 11 0.352322 0.434823 0.366225 \n", "4 12_0 -0.541619 0.962302 12 0.350319 0.527707 0.455618 \n", "5 13_0 -0.840437 0.991107 13 0.319639 0.575055 0.498960 \n", "6 14_0 -1.1364 1.0215 14 0.286135 0.612375 0.539528 \n", "7 15_0 -1.31173 1.07973 15 0.232671 0.670582 0.594063 \n", "8 16_0 -2.16881 1.09274 16 0.317195 0.706251 0.539044 \n", "9 17_0 -2.70805 1.13871 17 0.369063 0.761882 0.514576 \n", "10 18_0 -2.99695 1.19499 18 0.427990 0.823595 0.486812 \n", "11 19_0 -2.87123 1.18322 19 0.436866 0.887870 0.416639 \n", "12 20_0 -2.67388 1.22702 20 0.491638 0.829262 0.504835 \n", "13 21_0 -3.00049 1.23231 21 0.396128 0.868620 0.457594 \n", "14 22_0 -3.10161 1.22629 22 0.407784 0.862140 0.522871 \n", "16 23_0 -3.0915 1.22998 23 0.405211 0.866550 0.542770 \n", "17 24_0 -3.14594 1.23316 24 0.404800 0.868307 0.546848 \n", "\n", " x4 x5 x6 \n", "0 0.617649 8.295004e-01 9.723035e-01 \n", "3 0.855807 5.820131e-01 3.963242e-01 \n", "15 0.954383 4.363919e-01 7.005734e-01 \n", "18 0.442906 1.759466e-03 1.261393e-01 \n", "19 0.555304 5.992248e-01 7.218899e-01 \n", "20 0.071017 6.469737e-01 9.351199e-01 \n", "21 0.250479 1.292763e-04 9.368020e-02 \n", "22 0.573758 2.045889e-16 8.588981e-02 \n", "23 0.474229 8.915081e-18 2.698401e-01 \n", "24 0.459624 1.071711e-16 2.800346e-01 \n", "1 0.481202 7.790745e-18 3.444897e-01 \n", "2 0.489821 0.000000e+00 3.521782e-01 \n", "4 0.488006 0.000000e+00 2.812296e-01 \n", "5 0.501695 0.000000e+00 2.208544e-01 \n", "6 0.519865 3.278844e-17 1.588770e-01 \n", "7 0.549815 2.331421e-14 8.236678e-02 \n", "8 0.550333 3.693922e-17 3.525614e-02 \n", "9 0.561436 0.000000e+00 0.000000e+00 \n", "10 0.574039 1.968971e-13 5.488203e-13 \n", "11 0.497246 3.693059e-09 6.385638e-09 \n", "12 0.566858 4.156778e-14 3.156853e-14 \n", "13 0.630693 0.000000e+00 3.061767e-14 \n", "14 0.566412 2.218278e-16 6.731504e-16 \n", "16 0.547067 6.213968e-02 1.770796e-13 \n", "17 0.548325 1.473532e-02 5.418825e-02 " ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ax_client.get_trials_data_frame().sort_values('trial_index')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5. Retrieve best parameters\n", "\n", "Once it's complete, we can access the best parameters found, as well as the corresponding metric values." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'x1': 0.4077836769973997,\n", " 'x2': 0.8621399321206178,\n", " 'x3': 0.5228708230436103,\n", " 'x4': 0.5664115601602521,\n", " 'x5': 2.218277644905342e-16,\n", " 'x6': 6.731504173344668e-16}" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "best_parameters, values = ax_client.get_best_parameters()\n", "best_parameters" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'hartmann6': -3.101606599293558, 'l2norm': 1.2262903371818101}" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "means, covariances = values\n", "means " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For comparison, Hartmann6 minimum:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-3.32237" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hartmann6.fmin" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 6. Plot the response surface and optimization trace\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": 10, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:31:26] ax.service.ax_client: Retrieving contour plot with parameter 'x1' on X-axis and 'x2' on Y-axis, for metric 'hartmann6'. Ramaining parameters are affixed to the middle of their range.\n" ] }, { "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": [ [ -0.28410636807478085, -0.27636353850320605, -0.26868024233398313, -0.2611172769678497, -0.2537353324236995, -0.24659299277190405, -0.23974448594289266, -0.23323724550006653, -0.22710938360797484, -0.22138721812074835, -0.21608304718471416, -0.21119341787910173, -0.20669818280810537, -0.2025606662235947, -0.19872924933003466, -0.1951406092350445, -0.19172468632559236, -0.1884112033051062, -0.1851372371778095, -0.1818550150567262, -0.17853886484420523, -0.17519021010019142, -0.17183972064924857, -0.16854619457663356, -0.16539233512658025, -0.16247812839022013, -0.15991287785819708, -0.15780704260715583, -0.15626487935799016, -0.15537858630076973, -0.15522428614405692, -0.15585985003667058, -0.15732430746990023, -0.1596384359585168, -0.16280607984461093, -0.16681579285711212, -0.1716425046365342, -0.17724904275636355, -0.1835874665163102, -0.19060026278961895, -0.19822150489955936, -0.20637808231414423, -0.21499108106234732, -0.2239773470280424, -0.2332512125085715, -0.2427263235285011, -0.25231747902291957, -0.2619423851641157, -0.27152323634194253, -0.2809880536150522 ], [ -0.27732056478642353, -0.2692743192816788, -0.2613180863140667, -0.2535190364508385, -0.24594380885457023, -0.23865616166802295, -0.23171432369498646, -0.22516812214601178, -0.2190560046694917, -0.2134021277887449, -0.2082137468670212, -0.20347920990246826, -0.19916691842127088, -0.19522565585695162, -0.1915866715692427, -0.18816781595888632, -0.18487981990151603, -0.18163448787821546, -0.1783541545915195, -0.1749813215574123, -0.17148707942098484, -0.1678768843942955, -0.16419258412747872, -0.16051023991802382, -0.1569340889262465, -0.1535876871670454, -0.15060367640821637, -0.14811365868660475, -0.14623940117236178, -0.1450861603978162, -0.14473844079822484, -0.14525808674653296, -0.14668430694674783, -0.14903506725288618, -0.15230925785425664, -0.15648911816894429, -0.16154254922407563, -0.1674251154424895, -0.17408169632261683, -0.1814478653051792, -0.1894511346826625, -0.198012212791564, -0.20704638528490638, -0.21646507449257935, -0.22617756878393958, -0.23609286254221684, -0.24612151549869432, -0.2561774297606888, -0.26617945078887906, -0.2760527189442896 ], [ -0.27044056911234915, -0.2621028873703162, -0.25389130150593475, -0.2458801999674015, -0.23814296660438306, -0.23074922266323883, -0.2237617099608301, -0.21723290135200657, -0.21120147754145235, -0.20568887610592923, -0.20069619805251115, -0.196201843522119, -0.1921603283947645, -0.18850278502304618, -0.18513963990204818, -0.18196584740955646, -0.17886880174624764, -0.1757386297167587, -0.17248001605110974, -0.16902413989413434, -0.16533889493604748, -0.16143554012424577, -0.15737040924571466, -0.15324122618418445, -0.1491786527913732, -0.1453345824994361, -0.1418691303539501, -0.138938209769905, -0.1366831553788319, -0.13522324675834052, -0.13465138139738442, -0.13503264592379338, -0.13640519483017566, -0.13878267958764257, -0.1421574651517581, -0.14650399122214774, -0.1517818332210532, -0.1579382391059223, -0.16491011562437907, -0.17262557921153188, -0.1810052587300599, -0.18996354335582077, -0.19940992555286285, -0.20925051901843206, -0.21938975729041066, -0.22973221776605612, -0.24018447777255214, -0.250656895914132, -0.2610652192988767, -0.2713319385473705 ], [ -0.2634889820975165, -0.2548742656220784, -0.24642780222157934, -0.23823214562412942, -0.23036833222688446, -0.2229126533068343, -0.21593299257130727, -0.20948482568829419, -0.20360704251245543, -0.19831783551248117, -0.19361099870636822, -0.189453093590916, -0.1857820459820596, -0.18250781126617488, -0.17951574144637883, -0.17667314975463366, -0.17383924162363562, -0.17087803445592242, -0.16767315966130947, -0.16414267546305572, -0.16025148270791423, -0.156018934519764, -0.1515199411152215, -0.1468791717950535, -0.1422594197746898, -0.13784630417160582, -0.13383191441006703, -0.13039975987126917, -0.1277127127094373, -0.12590481439624068, -0.12507706621914716, -0.12529674588587758, -0.12659942280596903, -0.1289926851825709, -0.1324606217572375, -0.13696827661199995, -0.14246555576845377, -0.14889034326973927, -0.15617082568832097, -0.16422719147502107, -0.17297295249856215, -0.18231613719619078, -0.19216054956288708, -0.20240720340651797, -0.2129559532259674, -0.22370727133747825, -0.23456407584747718, -0.24543349728111685, -0.25622847830148954, -0.2668691230600436 ], [ -0.2564908423338029, -0.2476158212817321, -0.2389576913114797, -0.2306082164127795, -0.22265710360857727, -0.21518824155130545, -0.20827541046872688, -0.20197756849980564, -0.1963338960472355, -0.19135888169407334, -0.1870378611153246, -0.18332356727176502, -0.1801343962538431, -0.17735520078593092, -0.1748414340548221, -0.17242730383225036, -0.1699381818059158, -0.16720679852252207, -0.16409178271019997, -0.16049607257722953, -0.15638201024114062, -0.15177997288373768, -0.14678844645930877, -0.1415652986379008, -0.136311987925958, -0.13125380009031007, -0.12661954245979334, -0.1226235779151379, -0.11945206840127565, -0.11725423125043921, -0.116138521489485, -0.11617301383296041, -0.11738887364926076, -0.11978566490437381, -0.12333731992299302, -0.1279978399053887, -0.1337061311102239, -0.14038972767473568, -0.14796744129032735, -0.15635117106314467, -0.1654471938306865, -0.17515724944667443, -0.18537966506164616, -0.1960106603082884, -0.2069458716849103, -0.2180820509606488, -0.2293188399800371, -0.24056050381444216, -0.2517175099133615, -0.26270786369734145 ], [ -0.24947391697016852, -0.24035753195406306, -0.23151347662583954, -0.22304385509231994, -0.21504816244663771, -0.20761892552118844, -0.20083670110729224, -0.194764541433614, -0.18944212649758074, -0.18487988669976052, -0.1810536004479706, -0.17790014373313023, -0.1753152687682813, -0.17315444820936965, -0.1712378616279988, -0.16936041602965912, -0.1673071689118164, -0.1648735861699846, -0.16188876379214312, -0.15823833853104774, -0.15388284267489372, -0.1488673747797553, -0.1433200224201001, -0.13743911929974328, -0.13147208937988442, -0.1256902246417928, -0.12036383494218472, -0.11574117094314396, -0.11203306499314314, -0.10940390319994941, -0.10796854369057463, -0.10779412846314962, -0.10890535459434458, -0.11129165576934175, -0.1149148789024903, -0.11971636760743642, -0.12562279055589154, -0.13255047579973112, -0.1404083525226536, -0.1490998182920611, -0.1585239381135215, -0.16857636305358437, -0.17915026652487698, -0.19013747437892836, -0.20142984443878853, -0.21292085528840865, -0.2245073040325989, -0.23609098855451383, -0.24758025447838616, -0.2588913104048046 ], [ -0.24246908909197395, -0.23313236959150752, -0.22413042867133415, -0.21557690364699122, -0.20758227269209995, -0.2002488353430627, -0.19366491617364112, -0.18789840100840782, -0.1829898176287934, -0.17894532048824696, -0.1757301395604267, -0.17326330372300935, -0.17141472301547966, -0.17000595056915624, -0.1688160386113684, -0.1675937061917654, -0.16607638456224172, -0.16401548085517903, -0.1612054444397284, -0.15751229202559625, -0.15289591496296384, -0.1474207288476459, -0.14125155864342354, -0.13463545164482604, -0.12787368969788382, -0.1212900374537782, -0.11520083953906113, -0.10989079927717316, -0.10559626643349551, -0.10249629398840954, -0.10071069121814724, -0.10030365420062859, -0.10129118925477254, -0.10365045574067366, -0.10732935154726286, -0.11225509064657158, -0.11834105614549717, -0.12549172271904285, -0.13360583525453196, -0.14257826587471878, -0.15230105416595285, -0.16266409804143334, -0.1735558496997367, -0.18486422718930706, -0.1964778138638037, -0.20828730974280862, -0.22018713114402788, -0.23207702708878641, -0.24386358461201674, -0.2554615189385535 ], [ -0.23551085445569608, -0.22597682398916608, -0.2168471124558886, -0.20824811548198707, -0.20030253254007602, -0.1931236286310144, -0.18680856569152116, -0.18143090634563142, -0.17703250589781838, -0.1736151795719394, -0.17113277670841276, -0.16948461501978906, -0.16851160005741916, -0.16799670293011304, -0.16767165309436294, -0.1672315167490399, -0.16635803464827092, -0.164750996850076, -0.16216456122804002, -0.15844275503970584, -0.1535465421268749, -0.1475652611311029, -0.14070872763273923, -0.13328176152960491, -0.12564764977121667, -0.11818880286048938, -0.11127148977606738, -0.10521868256825484, -0.10029241902949693, -0.09668539856703551, -0.09452058893282955, -0.09385705616680862, -0.09469987609586061, -0.09701190390349712, -0.10072543966681824, -0.10575237338234644, -0.11199205686297264, -0.11933675864165427, -0.1276750021108244, -0.13689333297090678, -0.14687712988992385, -0.15751100901513193, -0.16867923276389019, -0.1802663658929058, -0.19215826587948337, -0.20424337445419205, -0.21641420246379295, -0.22856886900133888, -0.2406125583740264, -0.25245878268714617 ], [ -0.22863793460886883, -0.21893158114975686, -0.20970612083415607, -0.20110192432627239, -0.19325514647421982, -0.186291215637734, -0.18031722370144898, -0.17541330607712657, -0.1716232207844144, -0.1689445271876271, -0.16731905548778414, -0.16662476263940285, -0.166670568269498, -0.16719626813387412, -0.16787994996976763, -0.16835520102728174, -0.16823944701938842, -0.16717269927274359, -0.16486279205956755, -0.1611294889667101, -0.1559372207714751, -0.1494069201577588, -0.14180263120581604, -0.13349644240835246, -0.12492149214601156, -0.11652412851977068, -0.10872332011980879, -0.10188109879779383, -0.09628460174568887, -0.09213869583511736, -0.08956751842637134, -0.08862283624281386, -0.08929673831520368, -0.09153605852811975, -0.09525624772963859, -0.10035311067011543, -0.1067116456725381, -0.11421194246947941, -0.12273258298199297, -0.1321522335531391, -0.142350158526519, -0.15320628851484952, -0.16460130602483147, -0.17641701982476232, -0.1885371267291288, -0.200848328635582, -0.2132416919632658, -0.22561410254300218, -0.23786967077383292, -0.24992096634248218 ], [ -0.2218940043975356, -0.21204236158787382, -0.20275502544149349, -0.1941875024299361, -0.1864905737833531, -0.17980296368417314, -0.17424272961535014, -0.1698974456670148, -0.16681336940010238, -0.1649839875124901, -0.16433866849352707, -0.1647326463594867, -0.1659402121581235, -0.16765370480761366, -0.16949143755637608, -0.17101767665174772, -0.17177669386118422, -0.17134027670738305, -0.16936379658849954, -0.16564080128061653, -0.16014239268234798, -0.15302876641252516, -0.14462805221384856, -0.13538887464342975, -0.12582095151745776, -0.1164382321543107, -0.10771354037390868, -0.10004752088554447, -0.0937510908092376, -0.08903952444065477, -0.08603618916114275, -0.08478366261517589, -0.08525943402588898, -0.08739315210089593, -0.09108277288070954, -0.09620785417534683, -0.1026392625324386, -0.11024539268542655, -0.11889552122322988, -0.1284611401589868, -0.13881611756986634, -0.1498363957163127, -0.1613997341268203, -0.1733857911399579, -0.18567665011595946, -0.19815775710372685, -0.210719151454402, -0.22325683462620827, -0.23567412348743866, -0.24788285904559837 ], [ -0.21532851962666244, -0.20536090877024782, -0.1960475436550424, -0.18756012044006198, -0.18006508808968547, -0.17371544885556944, -0.16864110140678146, -0.16493777750282668, -0.16265473436407762, -0.16178157063608456, -0.1622348983241375, -0.16384619057438665, -0.16635295801021588, -0.1693963950794548, -0.17252949744192092, -0.17523984606640886, -0.1769900438696166, -0.17727545707540426, -0.1756932126551154, -0.17200933648600758, -0.1662056949743178, -0.15849012693909126, -0.1492646108846054, -0.1390623128002899, -0.12847405712843418, -0.11808258701996333, -0.10841366818074927, -0.09990480270593127, -0.09288882777526264, -0.08758970125020027, -0.084128479909225, -0.08253727972521241, -0.08277813004330503, -0.08476315497004339, -0.08837299730610337, -0.09347156941487289, -0.09991647770719592, -0.1075654179412393, -0.11627937027939628, -0.12592360450237328, -0.13636745351993107, -0.14748363119082097, -0.15914763573653556, -0.17123754627674725, -0.18363432156525117, -0.19622256475176458, -0.20889162985129994, -0.22153690803623638, -0.23406113239183746, -0.24637556434066454 ], [ -0.2089976154147304, -0.19894609849197242, -0.18964489564193843, -0.18128279132991842, -0.17404274661158747, -0.16809278209747114, -0.16357523325423196, -0.16059441452824474, -0.15920282192213864, -0.15938619350322814, -0.16104812275389335, -0.16399558610673126, -0.16792777433824546, -0.1724319455061234, -0.17699131351568087, -0.18101053702250924, -0.18386311328809768, -0.1849608148475932, -0.18383778091365643, -0.18023226815959315, -0.17414184323805193, -0.1658304442944849, -0.15578239324852494, -0.14462071440280044, -0.13301839759531986, -0.12162490018609651, -0.11101568364965719, -0.10166219675443156, -0.0939171789798876, -0.0880120371054689, -0.08406481089035278, -0.0820968891450573, -0.08205507459930805, -0.08383473494103644, -0.08730042305878394, -0.09230191214288763, -0.09868514512783522, -0.10629864968633829, -0.1149964773882215, -0.12463883869155867, -0.13509148747093347, -0.1462246794855373, -0.15791226594483065, -0.17003123465234005, -0.18246180604963147, -0.19508804367184962, -0.2077988494816443, -0.22048917651212263, -0.23306129134849307, -0.24542594320296296 ], [ -0.20296502825939866, -0.19286511677530926, -0.18361729502522595, -0.17542814109996097, -0.1684977173602109, -0.16300947425970835, -0.1591183756957284, -0.15693728399780804, -0.15652170910782837, -0.1578531796927385, -0.16082184865223015, -0.165209659732249, -0.1706766207546404, -0.17675445285557068, -0.1828537602673761, -0.18829196661497016, -0.19234807053092873, -0.19434511899673035, -0.19375142779342558, -0.190278727288426, -0.18394576193527068, -0.1750799790857296, -0.1642535849411677, -0.15218036897827547, -0.13961183198587968, -0.1272582523028769, -0.11573927455908595, -0.10555665462688824, -0.09708141541141879, -0.09055221107255917, -0.08608466829836892, -0.08369059794778977, -0.08330324643498432, -0.08480336994077176, -0.0880418785139816, -0.09285691343093982, -0.0990851019730874, -0.10656784721728463, -0.11515394830376469, -0.12469986625870844, -0.13506875989754064, -0.146129142755677, -0.1577537265964537, -0.1698187599186025, -0.182203963178744, -0.19479301555703465, -0.20747446008916948, -0.2201428562462614, -0.2327000087200607, -0.24505612466404925 ], [ -0.19730297622201476, -0.18719462834722866, -0.17804548175700896, -0.17008040146783654, -0.16351684869537553, -0.15855372066202333, -0.15535828873022672, -0.15405130477770412, -0.15469038110158517, -0.15725184406598758, -0.16161155347429168, -0.16752588721214745, -0.17461546205732725, -0.18235631039174716, -0.19008583272125912, -0.1970327500580782, -0.20237935242819372, -0.20535804436985428, -0.2053713153636998, -0.20210737361438746, -0.19561142530319087, -0.18627909669520548, -0.1747709777869253, -0.1618863965354067, -0.14844612621881081, -0.13521154199433982, -0.12283919642782615, -0.11185745844974582, -0.10265505764068772, -0.09547927159553704, -0.09044567964937444, -0.08755946148283056, -0.08674372859503454, -0.08786836968067613, -0.09077444061917217, -0.09529198450565945, -0.10125137268782347, -0.10848936438304135, -0.11685140126095228, -0.12619156183723135, -0.13637133859482797, -0.14725809110454846, -0.15872372989608552, -0.17064392772668247, -0.18289795197956105, -0.1953690692996357, -0.20794538833820686, -0.22052096960889656, -0.23299703056815668, -0.24528309628545686 ], [ -0.19209291367874137, -0.1820218322372622, -0.1730221694904024, -0.16533736823865186, -0.1592022930846313, -0.15483088496053554, -0.15240182124774737, -0.15204233033491255, -0.15381031802549638, -0.1576749826247783, -0.16349627497021157, -0.17100418010242913, -0.1797802368826138, -0.18924626069573702, -0.19866867776856767, -0.2071898803571216, -0.21389766120421239, -0.2179362605091395, -0.21864589377187849, -0.21569582186828629, -0.2091614355570267, -0.19950626371707603, -0.18747260076065275, -0.173932730862131, -0.15976181705805237, -0.14575950733477772, -0.1326111711145972, -0.12086883821458061, -0.11093998451591336, -0.10308388962452875, -0.09742056939852839, -0.09395363386785704, -0.09260147984301748, -0.09322860793349141, -0.09567136935122789, -0.09975620141684316, -0.10531087640115566, -0.11217029815770885, -0.12017854015466445, -0.12918861233323597, -0.139061121726328, -0.14966265889952668, -0.16086444123590593, -0.1725414926102704, -0.18457244482346336, -0.19683991067425488, -0.2092312974291003, -0.22163989377257087, -0.23396606156192856, -0.24611838409851405 ], [ -0.1874260619214838, -0.17744527860095083, -0.16865324640165835, -0.161312119427667, -0.15567392336636, -0.15196685430696388, -0.15037951507927172, -0.15104338189631683, -0.1540137940112103, -0.1592496976540143, -0.16659239343808485, -0.1757439650969712, -0.1862474331696945, -0.19747351546571956, -0.20862320179021088, -0.21875973538126392, -0.22688425562635794, -0.23206069635828175, -0.23357431335403067, -0.23108059437963202, -0.22468518677462102, -0.21491187086971475, -0.20256917343571257, -0.18858226785222099, -0.17386129367258185, -0.15922979073535548, -0.14539428996213455, -0.13292898852121016, -0.12226309428248827, -0.11367346513303045, -0.10729136406578643, -0.10312622416176542, -0.1010992843822367, -0.10107687695158729, -0.10289704840663694, -0.10638790834498102, -0.11137869580612203, -0.11770538108328532, -0.1252126048016009, -0.13375344983313875, -0.14318817774994308, -0.1533827208891283, -0.16420742825028478, -0.17553632545216713, -0.18724696762377147, -0.19922083790643264, -0.21134416811134782, -0.2235090236207513, -0.23561449152446157, -0.2475678287961085 ], [ -0.1834036068616629, -0.17357530501347984, -0.16505854325323854, -0.15813424718284064, -0.1530712163492527, -0.15011083829857208, -0.14944967905674522, -0.15122046753196172, -0.15547202008841587, -0.1621485252621926, -0.17106842766554875, -0.18190326597467066, -0.19415790564863322, -0.20715650689873155, -0.22004367300995153, -0.23181619195470204, -0.24140298310593888, -0.24780148654369405, -0.25025256467535506, -0.2484018745708133, -0.24237916086758726, -0.23275131978120056, -0.2203683612477031, -0.20618215872573276, -0.19111622628037228, -0.17600420394106497, -0.16156786509413346, -0.14840399821256955, -0.136968459783521, -0.12756337810678797, -0.12034043624534219, -0.11532468820134123, -0.11244987806850992, -0.11159295884644171, -0.11260106821116245, -0.11530978178568563, -0.11955403733604664, -0.12517372738367505, -0.13201578665751978, -0.13993422491567897, -0.14878917418732773, -0.15844568666335102, -0.16877274427310107, -0.17964272196049236, -0.19093138109739727, -0.2025183539237324, -0.21428800911016865, -0.22613055504655055, -0.23794323241658688, -0.24963146207394604 ], [ -0.18013645240939202, -0.17053394464952842, -0.16237197095237832, -0.15595033565833827, -0.151554238315873, -0.1494371126405707, -0.1498012560404005, -0.1527770821824912, -0.15840194778341732, -0.1665993615082737, -0.1771589933128601, -0.18971758292528285, -0.20374138321488777, -0.21851336448339864, -0.23313397999764596, -0.2465518563750453, -0.2576450363502055, -0.2653641635420001, -0.268918348283685, -0.26794384911942415, -0.2625797862175584, -0.25340852718590245, -0.2412885807590408, -0.22716895329931341, -0.21196583652704382, -0.19651200787850442, -0.18154137767643763, -0.1676758461493233, -0.15540448486056535, -0.14506419468487497, -0.1368384568351364, -0.13078000332947592, -0.126846581488685, -0.12493575303326931, -0.12491175660150877, -0.12662361032545433, -0.1299160849461487, -0.1346355879968002, -0.14063272596735232, -0.1477629050152518, -0.15588595566870778, -0.16486545565537525, -0.17456817499355326, -0.18486387133618165, -0.19562551554973706, -0.2067299231758274, -0.21805870183522313, -0.22949939158399957, -0.24094666751641958, -0.25230348418261517 ], [ -0.1777444244852644, -0.1684541657673777, -0.1607408366435068, -0.15492342113637525, -0.1513033630797329, -0.15014518599126858, -0.15165474688269498, -0.15595636010873082, -0.16307032256144804, -0.1728923003843459, -0.1851754758895643, -0.19951549684655934, -0.21533793910740662, -0.2318897408299463, -0.2482415391395525, -0.26331674440477215, -0.27596997044424654, -0.2851296500894128, -0.2899862624787405, -0.29016171295486726, -0.28578027733745726, -0.2774025906525974, -0.2658571199870614, -0.25206046463394416, -0.2369045471786987, -0.22121481221006978, -0.20573769971729183, -0.19112491234764362, -0.17790667617946165, -0.16646558474191187, -0.15703009585314387, -0.14969445075444776, -0.14445316741539616, -0.14123505482058896, -0.13992962066430326, -0.14040513984973702, -0.1425200059691507, -0.14612930228868848, -0.15108822458116467, -0.15725359212249246, -0.16448433609164792, -0.172641576097615, -0.18158867637730758, -0.19119150241868965, -0.20131896907870261, -0.2118438780038806, -0.22264398120855455, -0.2336031743041338, -0.24461271166234733, -0.2555723410439198 ], [ -0.17635483693077125, -0.16747832324687018, -0.16032417530785104, -0.15523120633227383, -0.15251739592298819, -0.1524579135966042, -0.15526049134011144, -0.1610398561196933, -0.1697935142960585, -0.1813813176665655, -0.19551061083473031, -0.21172731821183155, -0.2294117857308915, -0.2477783939320497, -0.2658824449758209, -0.28264749373087106, -0.29693596634077435, -0.3076813764743619, -0.3140674210554112, -0.3156907042348127, -0.31262841654143103, -0.30537624323932133, -0.2946926610229129, -0.28143545561575534, -0.2664606721894288, -0.2505850542603605, -0.2345717207430308, -0.2191092014851418, -0.20477818649947188, -0.1920189546435641, -0.1811192049138015, -0.17222939699997908, -0.16539401817608868, -0.16058375849414985, -0.1577212559655754, -0.1566993805009873, -0.15739338970322603, -0.15966864387695345, -0.16338531194626071, -0.16840115415670853, -0.17457316815922796, -0.18175864896178595, -0.18981602913597218, -0.1986057216246968, -0.20799107605228317, -0.21783947650543123, -0.2280235514795852, -0.2384224320505004, -0.248922978719878, -0.2594208967584365 ], [ -0.17610035657556278, -0.16775573828571155, -0.1612899828957668, -0.15706286906613953, -0.15540987012404472, -0.1566172044416685, -0.16089375897933778, -0.16834210639349778, -0.17893182629073312, -0.1924788715084731, -0.20863420984790293, -0.2268829923549771, -0.24655242574130887, -0.2668243263527983, -0.28675058410280385, -0.30527923590842887, -0.3213117656162946, -0.3338134129318061, -0.3419699768294038, -0.34533691223000085, -0.34390814555784144, -0.33807098698653704, -0.3284775725680189, -0.3159059301618635, -0.3011701439724367, -0.2850815915416647, -0.26842782590308834, -0.2519437636513283, -0.2362714620252796, -0.22192166237277466, -0.20925570696647333, -0.19849468427541916, -0.18974569639532235, -0.1830312597285808, -0.17831425780957488, -0.1755167458732445, -0.17453337621302567, -0.17524073923087502, -0.17750378726092308, -0.1811802532813176, -0.18612374512113916, -0.1921860113664361, -0.1992187298091621, -0.20707505268521742, -0.21561104902257977, -0.2246871105756021, -0.23416933293804776, -0.24393084637493334, -0.2538530499303787, -0.26382669502787515 ], [ -0.1771161390203171, -0.16943936943870375, -0.16381130372454167, -0.1606144017889537, -0.16020342205624227, -0.16287716692265852, -0.1688463767071866, -0.17820048083013496, -0.19087743574802052, -0.20664202115192853, -0.22507785698413818, -0.2455960753470141, -0.26745876550634085, -0.28980976137150183, -0.3117037128344884, -0.3321322169824654, -0.3500623436330974, -0.36451307632668384, -0.374676880741004, -0.38004987496634635, -0.3805083719361363, -0.37629429327035846, -0.367925533935473, -0.35608668302931346, -0.3415489502944251, -0.3251255048971722, -0.3076391652770718, -0.28988326326249536, -0.27257377703300756, -0.25630512171252795, -0.24152590023136122, -0.22854081776668733, -0.21753074091682945, -0.20857861434065417, -0.20169352097713278, -0.19683029510869776, -0.19390466561817743, -0.19280469226576646, -0.19339932982062813, -0.19554483315860183, -0.19908957474642797, -0.20387772348008715, -0.20975213096600687, -0.21655668255465133, -0.22413829288065634, -0.23234865928944692, -0.24104583248494849, -0.2500956229759945, -0.2593728345306403, -0.26876230097775533 ], [ -0.17953624703120297, -0.17268159298707242, -0.16806120254240997, -0.16608253234943016, -0.16712232095174606, -0.17149479197595707, -0.17941499179349885, -0.19096036721711784, -0.20603583770917, -0.22434959984271852, -0.24540756140344977, -0.26853199536068684, -0.29290344988910244, -0.31761515325992973, -0.3417216364866159, -0.3642674223600517, -0.38430217818188395, -0.40091231376601233, -0.4132965046453093, -0.4208742772541707, -0.42337771365524, -0.42087856231231335, -0.41374486095980023, -0.4025629155970192, -0.38806525578702455, -0.37107703500247513, -0.3524694596032454, -0.3331082337014012, -0.3137970373397765, -0.29522710066519386, -0.2779464505796687, -0.2623542007833143, -0.2487139101818413, -0.23717564257963963, -0.22779908327133014, -0.22057420130982786, -0.21543850281862553, -0.21229098546954028, -0.21100322779018676, -0.21142809892444592, -0.21340654629773692, -0.21677286965225462, -0.22135883372593135, -0.22699691122691656, -0.23352288519852482, -0.2407779791161988, -0.24861062813557022, -0.25687795908652344, -0.26544701204268195, -0.27419571314157176 ], [ -0.1834894071424169, -0.17762916825410158, -0.17420673152474042, -0.17365739289525384, -0.17638340624880233, -0.18271854600509485, -0.19288649014570702, -0.20695635999302353, -0.22480157911047638, -0.24607124022166316, -0.2701850145726774, -0.29636091596799674, -0.3236772767396494, -0.35115562071986595, -0.37783551053525344, -0.4028099949233448, -0.42521472915710723, -0.44420616878278707, -0.45898379699866565, -0.46887745039670237, -0.4734609044346523, -0.4726272536096624, -0.46659371528275617, -0.4558534096243412, -0.44110971196782467, -0.42321252074494276, -0.4030960382017994, -0.38171335828179787, -0.3599700740860321, -0.3386667069165322, -0.31846102582588953, -0.29985478660257026, -0.28320052919026184, -0.26871980833277775, -0.2565254381162021, -0.24664342057169686, -0.23903263444263634, -0.2336016624902284, -0.23022273121429748, -0.22874299328499137, -0.22899349034757843, -0.2307961700051333, -0.2339693256990817, -0.2383317961073449, -0.24370621167368844, -0.249921518818648, -0.25681495482909666, -0.26423359418650416, -0.2720355439863187, -0.2800908340104429 ], [ -0.18909420469426386, -0.18441751936719641, -0.18240207577270984, -0.18351420658530415, -0.1881858400356874, -0.19677549076648582, -0.20952148506764312, -0.22649075791513862, -0.24753004264499334, -0.27223047385271226, -0.2999200601144587, -0.32969806219176456, -0.36051669949864973, -0.3912959861303381, -0.42103177738400277, -0.44884439655658037, -0.4739422902441962, -0.4955419940191128, -0.5128342322498682, -0.5250530341947346, -0.5316155294577628, -0.5322458969485114, -0.5270247832654108, -0.5163672503289888, -0.5009623795579472, -0.4816998878989138, -0.45959246857179437, -0.4356958665790177, -0.4110314326570922, -0.38652027330769145, -0.3629381874802011, -0.3408951885817171, -0.3208363249517222, -0.30305649644938326, -0.28772209122001924, -0.2748944284012569, -0.26455215824645417, -0.2566112426264403, -0.25094199626838465, -0.24738314449854326, -0.24575311163693836, -0.2458588848172092, -0.24750284765811104, -0.250487974732045, -0.25462174080501465, -0.25971904354801034, -0.26560437656858793, -0.27211342973739705, -0.2790942415340898, -0.28640798661399103 ], [ -0.19645386147149313, -0.19316451615019248, -0.19278112144864856, -0.19580433775089412, -0.20270018804600232, -0.2138577140424346, -0.22953707625391595, -0.2498111707773969, -0.27450787973137225, -0.3031654655626915, -0.33501895862650644, -0.3690370340747605, -0.4040207163764148, -0.4387513701540703, -0.4721383298953844, -0.50328947851405, -0.5314546015595296, -0.5558874742912607, -0.575757830203681, -0.5902070393587732, -0.5985141853458456, -0.6002618319287727, -0.5954219464991659, -0.5843554375047187, -0.5677567403395547, -0.5465725899274954, -0.5219103007210316, -0.4949433344721076, -0.46682180467193, -0.43859723036328346, -0.41116967519218095, -0.38526052727962556, -0.36140820622400904, -0.33998030343023034, -0.32119509859522566, -0.3051468461540545, -0.29183114431490764, -0.2811682832669463, -0.27302356027161956, -0.2672242407790605, -0.2635732591959855, -0.2618599822664025, -0.2618684637764864, -0.2633836436482023, -0.26619591780442475, -0.2701044498629871, -0.2749195280804133, -0.2804642024487156, -0.2865753748733907, -0.29310446411860336 ], [ -0.2056507827477273, -0.20396398282536388, -0.20544973713674386, -0.21064609525825917, -0.2200573851649087, -0.23410890753652158, -0.253090177204485, -0.27708925750880353, -0.30592517533326924, -0.3390918860224521, -0.3757346498808294, -0.4146840679778694, -0.45456662848354845, -0.49398392404326374, -0.5317042207299233, -0.5667652952140761, -0.5984083747421549, -0.625889829340833, -0.6483458064519785, -0.6648386629288885, -0.6745433792423635, -0.6769421247060999, -0.6719360522362126, -0.6598621903942847, -0.6414437671881377, -0.6177037463671663, -0.5898609676141267, -0.5592215380101446, -0.5270764709066083, -0.4946160670498887, -0.46286896414757595, -0.4326687700679195, -0.4046457113708395, -0.37923708909535636, -0.35670937767190547, -0.3371857939341423, -0.32067490215891137, -0.30709749360914596, -0.2963102726668678, -0.28812577245400284, -0.2823284869099072, -0.27868753144320846, -0.2769663038091159, -0.2769296666663472, -0.27834915462583576, -0.28100665140307624, -0.28469690800238645, -0.28922919497721333, -0.29442830980616597, -0.3001350994263472 ], [ -0.21674110191241336, -0.21687920582894205, -0.22047809556889442, -0.22811569728725345, -0.24033812544614752, -0.25761186153387994, -0.2802625862991588, -0.30840246812628036, -0.34185234865135206, -0.3800726211796963, -0.422125996050998, -0.46670291299209443, -0.5122369503133158, -0.5571099736765386, -0.5998883729934718, -0.6394679380156983, -0.6750150051481231, -0.7057445443432453, -0.7307486104413454, -0.7490336567492818, -0.7597146854274834, -0.762222183958894, -0.7564292199243863, -0.7426826303108766, -0.721760568871338, -0.6947834945353444, -0.6630999246662301, -0.6281638729023983, -0.5914188597476862, -0.5542011295651903, -0.5176705253149252, -0.4827717396863752, -0.45022313517051726, -0.4205267126155927, -0.39399168049730227, -0.37076485416824023, -0.35086278700959517, -0.3342023070740613, -0.3206276041451285, -0.30993307753219623, -0.30188185170421944, -0.2962202772810886, -0.29268894146489244, -0.29103078274141514, -0.2909968910765537, -0.2923505138704, -0.2948697051678081, -0.2983489679638621, -0.30260015741181856, -0.3074528422209809 ], [ -0.22974949054134775, -0.23193675386593227, -0.23789339753192762, -0.24823881510586443, -0.26356316969513593, -0.2843774963028458, -0.3110486664228982, -0.3437201380961583, -0.38222404974621216, -0.42599816355610554, -0.4740323393833016, -0.5248800952133521, -0.5767712687357249, -0.6278351267805903, -0.6763774915506655, -0.7210742440334603, -0.760939840650477, -0.7950980365148104, -0.8225888281904675, -0.8423906087713711, -0.8536044475820252, -0.8556574558956532, -0.8484367922686277, -0.832333386901031, -0.808208243571745, -0.7773028434864087, -0.7411154195435139, -0.7012641318176187, -0.6593565805811635, -0.616881263590496, -0.5751304799391072, -0.5351572116622709, -0.4977625436164934, -0.4635065185579218, -0.432734209664971, -0.40560958356813015, -0.38215146666837696, -0.36226783246157956, -0.34578626016921155, -0.3324796261932369, -0.3220868946845524, -0.31432935188032896, -0.3089228713762814, -0.3055868824741861, -0.30405070132471446, -0.30405781786254704, -0.30536863986446783, -0.307762097924984, -0.31103642339624604, -0.31500933179681334 ], [ -0.24466453741281236, -0.24912096488104796, -0.2576733998155154, -0.27098313403717067, -0.28968502853505096, -0.3143358940789197, -0.34534611639901336, -0.382894530410845, -0.42683102073714674, -0.4765795821907435, -0.5310671711258346, -0.5887176732039358, -0.6475550210327745, -0.7054351636742682, -0.7603563597205538, -0.8107029164159082, -0.8552604137793622, -0.8930100550425505, -0.9229308205802247, -0.9439970247779905, -0.9553343575175912, -0.9564070340136356, -0.9471532971972335, -0.9280407939804058, -0.900042427709184, -0.8645466856714255, -0.8232239513661951, -0.7778742562733416, -0.7302812027871388, -0.6820912800811256, -0.6347293683482226, -0.5893525864718934, -0.5468379649105003, -0.5077957108841185, -0.4725989132314907, -0.44142154898615504, -0.4142785934787748, -0.3910641168445331, -0.3715850316551952, -0.3555894825475068, -0.34278975156492897, -0.33288007696132393, -0.32555004719505853, -0.3204943225039699, -0.31741942065589357, -0.3160482289015012, -0.3161228029642359, -0.31740590667566704, -0.31968164498618534, -0.32275545525408866 ], [ -0.26143502595725465, -0.26836949127746934, -0.2797411945350534, -0.2962524141236963, -0.3185814945801948, -0.34732972180757526, -0.3829500365320352, -0.4256567279599054, -0.47531947041230516, -0.5313534011856578, -0.592630553586066, -0.6574546098820543, -0.7236497267336233, -0.788792933058742, -0.8505476988854701, -0.9069544541191146, -0.9565061585676965, -0.9979934761897402, -1.0303186099747217, -1.0524620991295552, -1.0635970556708672, -1.0632518857647966, -1.0514444361952067, -1.0287483938695783, -0.9962781196831163, -0.9555974329716146, -0.9085737465061661, -0.857208219536193, -0.8034727492103473, -0.749177023060607, -0.6958776256612849, -0.6448305536917069, -0.5969810185555291, -0.5529807513682051, -0.513222504207082, -0.47788287431851384, -0.446966836121959, -0.4203496607835383, -0.3978138208400406, -0.37907988560462214, -0.3638313412455043, -0.35173381412058624, -0.34244944500429275, -0.33564724863155815, -0.33101026889882146, -0.32824025559969927, -0.3270604774386864, -0.32721716958251224, -0.3284800048136649, -0.33064188216450696 ], [ -0.27996744682485164, -0.2895703148702682, -0.3039617255652747, -0.3238825928198298, -0.35005157297966194, -0.383110497331257, -0.42355045981401673, -0.47161697652305334, -0.527196592591636, -0.5896955885428391, -0.6579356890652514, -0.7301103146140786, -0.8038570881181137, -0.8764842215729365, -0.945317222165055, -1.0080286873739028, -1.0627788921953716, -1.1081281472185003, -1.1428760868063925, -1.165999646315401, -1.1767211480015802, -1.1746435759961362, -1.1598824643450503, -1.1331423667833036, -1.0957083272146686, -1.0493494294631964, -0.9961567222675818, -0.9383526216253769, -0.8781094662381678, -0.8174045178186793, -0.7579241347534322, -0.7010170079204738, -0.6476881413462104, -0.5986218576456058, -0.5542222177064741, -0.5146612708056248, -0.47992822098091736, -0.4498751264457934, -0.42425678257087973, -0.40276389438415994, -0.3850495845257609, -0.3707498225517718, -0.3594986190126841, -0.35093890107692083, -0.34472994932191536, -0.34055217912969005, -0.33810992886329916, -0.3371327918996989, -0.33737591306256143, -0.3386195685039062 ], [ -0.30012505951144897, -0.312560629339528, -0.3301405334397802, -0.3536405123383206, -0.38381445419048354, -0.4213383187826756, -0.46673375943075535, -0.5202693315795208, -0.5818409353280557, -0.6508413162346642, -0.7260430105010744, -0.8055389418335168, -0.886799294614911, -0.9668878989329146, -1.0428128511663308, -1.1118852285716356, -1.1719199631923543, -1.2212190255664435, -1.258445552236083, -1.2825427807022822, -1.29276212154313, -1.2887740599718367, -1.2707987845621134, -1.2396911516244953, -1.1969345242695368, -1.144533234996117, -1.0848286656870219, -1.020284026791669, -0.9532830043650249, -0.8859733355167708, -0.8201679546074311, -0.7573012679296749, -0.6984294191269727, -0.644260575910923, -0.5952022571409652, -0.5514154884877535, -0.5128687157690521, -0.47938717265177133, -0.4506955204757358, -0.4264530442095946, -0.4062816082636984, -0.3897870875493208, -0.37657522005665545, -0.3662628785655, -0.35848570477670494, -0.3529029398355309, -0.34920015391397663, -0.3470904446066184, -0.3463145511042377, -0.3466402244152891 ], [ -0.3217287545291899, -0.33712792228165234, -0.35802516089137193, -0.38522582067149946, -0.4195121986561203, -0.46158581671105314, -0.5119886751268752, -0.5710010802520898, -0.6385173106151875, -0.7139084933177196, -0.7958966664945355, -0.8824841419173367, -0.9709975306568622, -1.0582922718754406, -1.1410991908872805, -1.216400008046194, -1.281676399832523, -1.3349573189546073, -1.374732525654133, -1.399866736657361, -1.4096023149277201, -1.403654950955203, -1.382346147744072, -1.3466945528230028, -1.2984061964179436, -1.239748306681288, -1.1733368617874513, -1.1018926295270932, -1.0280187443322168, -0.9540339627675658, -0.881873032672625, -0.8130484221192483, -0.7486588640059801, -0.6894282863403265, -0.6357608058926916, -0.5878010825545823, -0.5454929650804986, -0.5086323410110137, -0.4769122752485625, -0.449959963013438, -0.4273658938929642, -0.4087060872902396, -0.3935584515549094, -0.3815143417171153, -0.3721863162174105, -0.3652129697571652, -0.36026157841838014, -0.35702915340466046, -0.355242371819666, -0.35465674210794795 ], [ -0.3445598614897767, -0.36301346049081484, -0.387309502641895, -0.4182764370711445, -0.45671666162443036, -0.5033470192445254, -0.5587178075504396, -0.6231078682540759, -0.696397018567606, -0.7779251741082983, -0.8663619106234257, -0.9596298029399417, -1.0549395143129359, -1.1489820169086749, -1.2382642695316903, -1.3194886882299213, -1.389834068627083, -1.447054124255867, -1.489430972566297, -1.5156997525001765, -1.525045286462504, -1.5171961190204266, -1.4925638041386684, -1.452338181017658, -1.398466969851154, -1.3335025560900529, -1.2603541748024492, -1.1820115074917004, -1.1013006501065201, -1.0207086336232294, -0.9422854284268234, -0.8676134016159767, -0.7978258134472058, -0.7336553869439586, -0.6754974090293844, -0.6234763462068299, -0.5775090657081597, -0.5373609083599338, -0.502693040838049, -0.4731008989771992, -0.44814433344031535, -0.42737047009501283, -0.41033044209078273, -0.3965911402833111, -0.38574303225892015, -0.3774049628556375, -0.37122669908983075, -0.36688983671984166, -0.36410755368780723, -0.3626235818313206 ], [ -0.36836490429236957, -0.3899181948177116, -0.41764114316826706, -0.4523776726578571, -0.4949408255901483, -0.5460514170893943, -0.606255040406307, -0.6758152181058921, -0.7545843214544166, -0.8418619654459218, -0.9362645106013202, -1.0356475508264762, -1.1371360611274657, -1.2373044401709805, -1.3324954889514156, -1.419191410099073, -1.4943091915274356, -1.5553352323777674, -1.600316840767448, -1.627811217395178, -1.6368961850995385, -1.6272777216772647, -1.5994417396713878, -1.554750760768546, -1.495405678040159, -1.4242575397433261, -1.344518506186906, -1.2594504577805343, -1.172099710776234, -1.0851147793977263, -1.0006523250394854, -0.9203561925290398, -0.8453869935267768, -0.7764808129093103, -0.714020475298081, -0.6581082315783036, -0.6086332555672082, -0.5653306166099697, -0.5278305458049247, -0.49569811504605443, -0.4684641614074382, -0.4456486196230428, -0.42677751860405455, -0.41139485295294254, -0.39907042195737497, -0.38940457765781644, -0.38203066550246045, -0.3766157905833696, -0.3728604074236981, -0.37049711531304896 ], [ -0.3928621386703677, -0.41751087702844214, -0.4486314242462185, -0.48707469125752256, -0.533654167727009, -0.5890828078692364, -0.6538884520956291, -0.7283060457848805, -0.8121489327908287, -0.9046695339371349, -1.0044328677887964, -1.1092426167084097, -1.2161695667656185, -1.3217195208872476, -1.4221306835878444, -1.5137252532992787, -1.593203424528538, -1.6577998824869247, -1.7053103921044617, -1.734076370129685, -1.743027232377965, -1.7318150183722523, -1.7009835448044066, -1.6520638231439881, -1.5875116682128185, -1.5104783108928557, -1.4244764436771502, -1.3330331410434764, -1.2394047348185155, -1.146389994325764, -1.056241911981966, -0.9706574656269403, -0.8908187039623416, -0.8174614988767117, -0.7509546236882289, -0.6913780694539757, -0.6385943883648555, -0.5923101944597463, -0.5521270428545411, -0.5175821123662981, -0.48817973722447383, -0.46341509116692137, -0.4427913690686054, -0.42583173251547635, -0.41208714631858423, -0.4011410697245098, -0.3926118010355315, -0.3861531200254378, -0.38145373540032734, -0.3782359272628706 ], [ -0.4177495440469272, -0.44543795733692815, -0.47986767613875203, -0.5218875703551418, -0.5723011019261715, -0.6318016894615364, -0.7008871741304254, -0.7797523093111907, -0.868162394834286, -0.9653190303714221, -1.0697410169169363, -1.1791972172974525, -1.2907352786904578, -1.4008370336968934, -1.5056903859560604, -1.6015129866684448, -1.6848324207599203, -1.7526532502654706, -1.8025158318828236, -1.832524325903775, -1.8414334005391764, -1.8288195018788145, -1.795270006503611, -1.7424745664837928, -1.6731340496375389, -1.5906868678206783, -1.4989296143324977, -1.4016359278514232, -1.3022539896733976, -1.203717229207621, -1.1083631113534387, -1.0179338465260608, -0.9336285617695779, -0.8561813899186909, -0.7859476064704054, -0.7229869098231019, -0.6671380782176525, -0.6180825968270127, -0.5753968596836384, -0.5385936533582273, -0.5071541601928738, -0.4805519080859699, -0.4582700882430497, -0.43981355290072033, -0.42471664696746136, -0.41254785363719304, -0.40291206331195095, -0.3954511180392636, -0.389843145229544, -0.3858010764784753 ], [ -0.44271380764485346, -0.47333464922187385, -0.510926797945216, -0.5563278823094816, -0.6103210699993187, -0.6735693375145294, -0.7465297962691649, -0.8293477858323465, -0.9217347562414072, -1.022841453831289, -1.1311486049823423, -1.2444083875164793, -1.359674100961293, -1.4734422480902118, -1.5818961920598702, -1.6811964320122896, -1.7677388905951417, -1.838324945946979, -1.8902500911028945, -1.9213795101124203, -1.9302858677694905, -1.9164612724097136, -1.8805259138224488, -1.824312392401093, -1.7507439822124946, -1.6635174797829413, -1.5666817145066578, -1.464226476596618, -1.3597659796291741, -1.2563488478899787, -1.1563841185374906, -1.0616520844159332, -0.9733662876073221, -0.8922596530558401, -0.8186765798658948, -0.7526603364636, -0.6940304222284728, -0.6424479057211024, -0.5974686775976896, -0.5585855650643577, -0.5252607062539917, -0.4969497129773487, -0.47311910425122616, -0.4532583577437219, -0.436887752762119, -0.42356299596683644, -0.41287744599349163, -0.4044625941948786, -0.3979873196733028, -0.3931563187251147 ], [ -0.46743975599135446, -0.5008364415285557, -0.5413892365791464, -0.5899155448967881, -0.6471686465695686, -0.7137714541769873, -0.7901316426048168, -0.8763386963564173, -0.9720477256434514, -1.076361834848305, -1.1877339362005916, -1.303917329183368, -1.4219959029856093, -1.538511941143761, -1.6496802139385927, -1.7516425657663914, -1.8407006337861498, -1.913484966606632, -1.9670715175445572, -1.9991051434548155, -2.0079889982160037, -1.9931354312597342, -1.9551903389878573, -1.8961075966524217, -1.8189974882718576, -1.727771052474675, -1.6266835334324439, -1.5198997740919378, -1.41116759079013, -1.3036282436944655, -1.1997488409815962, -1.1013414969330986, -1.0096331235505676, -0.9253578239760337, -0.8488535550529399, -0.7801526526483034, -0.7190612395346271, -0.6652258571665444, -0.6181875185912441, -0.5774243131343273, -0.5423840826025389, -0.5125087728174007, -0.4872519869906773, -0.4660911124060435, -0.44853520675159586, -0.434129641836289, -0.42245832461573873, -0.4131441555754354, -0.40584824549455434, -0.4002682938955304 ], [ -0.49161966886426656, -0.527590322986814, -0.5708524128692897, -0.622194718878209, -0.6823321074489901, -0.7518394609448585, -0.831068595159794, -0.920049503061908, -1.0183814280364694, -1.1251254689828902, -1.2387178807802868, -1.3569292196067018, -1.4768940121237106, -1.5952235588655181, -1.7081906506040325, -1.8119491315969134, -1.9027411474811131, -1.9770643286340386, -2.0318140898727126, -2.064451875406925, -2.073241127991758, -2.0575303047687754, -2.017986520931117, -1.9566575826752899, -1.8767941979045837, -1.7824645190536548, -1.6780727744708326, -1.5679092752857247, -1.4558179539705054, -1.3450079158019521, -1.237990525931698, -1.1366042454728065, -1.0420896077098007, -0.9551857228610212, -0.8762299311128797, -0.8052503813401002, -0.7420467956629694, -0.6862579783076816, -0.6374164339999212, -0.594991344654828, -0.5584215011132178, -0.5271398404292724, -0.5005911413406522, -0.47824426262926356, -0.4596001166550113, -0.4441963781666515, -0.43160974943222385, -0.42145644287345196, -0.41339140394823615, -0.4071066800077493 ], [ -0.5149619522444749, -0.5532650567155175, -0.5989427657440841, -0.6527477321685446, -0.7153492361530909, -0.7872680171202435, -0.8687959105401151, -0.959902313817776, -1.060133394117914, -1.1685153021597579, -1.2834785161107995, -1.4028243548362584, -1.5237528657764394, -1.642960468751222, -1.7567969675561887, -1.8614531179426728, -1.953145196239909, -2.0282809955938257, -2.0836254226540682, -2.1165073232966813, -2.1250927597264684, -2.108689759918616, -2.067983303576253, -2.0050831837795178, -1.923325868299726, -1.8268705794332565, -1.7202053883920236, -1.6076909821699479, -1.493226681720448, -1.3800632059092024, -1.2707421175765212, -1.1671231839558518, -1.0704615652055969, -0.9815060642926552, -0.9006000711925146, -0.8277750611528252, -0.7628320044266208, -0.7054093328561883, -0.6550378959914167, -0.6111842026074157, -0.5732835739921898, -0.5407648758413226, -0.5130683886516416, -0.48965820312373687, -0.4700303319643957, -0.45371753652217517, -0.44029168801843144, -0.4293643242560792, -0.4205859253942881, -0.41364431640080623 ], [ -0.5371987378592479, -0.5775599805920327, -0.6253257936639277, -0.6812063196274729, -0.7458195947981711, -0.8196279872694663, -0.9028613536672017, -0.9954294680216379, -1.0968297837026382, -1.2060610509709884, -1.3215577234935623, -1.441162375546253, -1.5621507645109418, -1.6813149028394276, -1.7950952772523074, -1.8997410213457946, -1.9914760745068345, -2.066665391283295, -2.1220005082684783, -2.154736592690619, -2.1629911872311873, -2.146058605468696, -2.1046381004698156, -2.0408667764057213, -1.958108381457193, -1.8605434199700173, -1.7526756244559234, -1.6388788029256605, -1.5230655603143697, -1.4085012185588455, -1.2977431129027563, -1.1926671780925076, -1.0945442746504286, -1.0041377484834784, -0.9218039207345383, -0.8475853411060403, -0.7812921114990433, -0.722569879003319, -0.6709548956749615, -0.6259174153492109, -0.5868950347077256, -0.5533176303105881, -0.524625439069434, -0.5002816584764077, -0.47978074993025144, -0.46265343772364753, -0.4484692197422242, -0.4368370490573904, -0.4274047100469065, -0.4198572980950319 ], [ -0.5580920986371873, -0.6002119832639687, -0.6497137179726088, -0.7072598081042438, -0.773412946266982, -0.8485746814413635, -0.9329127146741223, -1.0262797274956532, -1.1281297119044242, -1.2374413712465706, -1.3526613444347537, -1.471681118961623, -1.5918586682438, -1.7100882812070302, -1.8229117440076223, -1.9266564416229832, -2.017587743309412, -2.092076585895867, -2.146800767814216, -2.179002621810272, -2.186800538285613, -2.1695010389761613, -2.127812951696357, -2.0638656784325224, -1.9809926234260073, -1.8833274416798955, -1.77532304199651, -1.6613102432659803, -1.545173234689134, -1.4301647277399745, -1.3188428488749284, -1.2130938839515064, -1.1142048185506752, -1.022957845812021, -0.9397286775750119, -0.8645783806339704, -0.7973338633343023, -0.7376554416117352, -0.685091748611873, -0.6391231614422946, -0.5991952844184901, -0.5647440933092672, -0.5352142551556023, -0.5100719770308093, -0.4888135512717754, -0.47097057924427765, -0.4561126832635696, -0.44384836258281324, -0.43382451623887097, -0.4257250427598277 ], [ -0.57743870158024, -0.6210004848066235, -0.6718706313548726, -0.7306601853509197, -0.7978738995688687, -0.8738516454529037, -0.9587002663044655, -1.0522189615951183, -1.1538238878414706, -1.2624804841346262, -1.3766542384136096, -1.4942909564466498, -1.6128348992911008, -1.7292872816057654, -1.8403005417579479, -1.9422996619911355, -2.031624937622972, -2.104701311163463, -2.158250388876654, -2.189558876827795, -2.196790853850084, -2.1792871303763404, -2.137760057906644, -2.074298438951911, -1.9921527996537471, -1.8953482115319944, -1.7882261105126998, -1.6750222897660474, -1.5595528596755683, -1.445031088170033, -1.334000249473027, -1.2283500095554205, -1.129382632220385, -1.0379022806795706, -0.9543095136252727, -0.8786905507199065, -0.8108961554621907, -0.750608292270651, -0.6973946017159153, -0.6507517046607437, -0.6101387597265399, -0.5750027992920582, -0.5447973045212853, -0.5189953362298296, -0.49709836474686153, -0.4786417650487451, -0.4631977771454794, -0.45037658244001944, -0.43982601687202016, -0.43123033115209974 ], [ -0.5950728447630257, -0.6397504118557025, -0.6916151952810443, -0.7512242316957786, -0.819023121031722, -0.8952905563612924, -0.9800749622183625, -1.0731263643239273, -1.173828763067404, -1.2811404449289057, -1.3935511480990148, -1.5090649112117975, -1.6252151086812245, -1.7391138579589287, -1.847533422612084, -1.9470154325947597, -2.0340072048317754, -2.1050322355896416, -2.156907523286302, -2.1870135195099794, -2.1935968885496417, -2.176049228318231, -2.1350792947035027, -2.072706555397339, -1.9920543481271211, -1.8969872541002446, -1.791683488032925, -1.6802381585398751, -1.5663631029252592, -1.453206355000499, -1.3432801290681102, -1.238469095882354, -1.140088255646366, -1.048965203407206, -0.9655293302493277, -0.8898974166419398, -0.8219501416132118, -0.7613973208535902, -0.7078316277935066, -0.6607715880270407, -0.6196951129775822, -0.5840649875146346, -0.553347696451421, -0.5270268557872857, -0.5046123580590379, -0.48564617623092277, -0.4697056126202642, -0.45640463597565106, -0.4453938240453795, -0.4363593213295188 ], [ -0.6108679312924481, -0.6563332851916746, -0.7088210983594292, -0.7688330535457311, -0.8367556102094653, -0.9128079043789903, -0.9969832377350573, -1.0889872013232018, -1.1881772246796751, -1.293509971836112, -1.4035039828038165, -1.5162246856395816, -1.6292970620138347, -1.739948258530999, -1.845079726316107, -1.9413680714703159, -2.0253969182261886, -2.093827101995028, -2.143613913481058, -2.172270593763734, -2.1781537048505175, -2.160716069195596, -2.120655253722301, -2.059898152419978, -1.981406549127664, -1.8888443012532643, -1.7861853326496138, -1.6773463265139352, -1.5659032909987647, -1.4549150196002532, -1.3468462401433183, -1.2435668871393848, -1.146400298716019, -1.056197033362981, -0.9734175202334644, -0.8982129733933117, -0.8304987768237249, -0.7700177753665907, -0.7163928885028072, -0.6691695714299671, -0.6278491929754615, -0.5919146055584855, -0.5608491954546654, -0.5341506134516826, -0.5113402513111128, -0.49196937979387223, -0.4756227167373074, -0.4619200577275806, -0.45051648129675714, -0.4411015364761033 ], [ -0.6247365138874008, -0.6706666280743998, -0.7234155815111968, -0.7834294448418901, -0.8510366034440497, -0.9263991632919821, -1.0094592325242777, -1.099882970684864, -1.197006698007583, -1.2997905818506656, -1.4067860684032807, -1.5161229307143043, -1.6255204602099291, -1.7323253942401078, -1.833577726722834, -1.9261058463783138, -2.006654825676646, -2.0720542755294376, -2.1194305846851753, -2.146457664506806, -2.151619607621396, -2.1344353146055384, -2.0955837664104147, -2.0368820848752245, -1.9611064433232364, -1.8716917713289145, -1.772377845805491, -1.6668738483640144, -1.5585938750973938, -1.450486009058251, -1.3449513958506614, -1.2438344410755893, -1.1484606742223233, -1.0597011793568545, -0.9780477204177014, -0.9036881097944225, -0.8365757694314699, -0.7764905470692589, -0.7230898459923638, -0.6759502965795585, -0.6346008131164712, -0.5985481463903949, -0.5672961039215897, -0.5403595574586484, -0.517274248630974, -0.49760327240462354, -0.4809409836703943, -0.46691494540697853, -0.4551864225424008, -0.4454498258639684 ], [ -0.6366290980923766, -0.6827119578401881, -0.7353763830003848, -0.795013532680942, -0.8618956690824104, -0.9361311123566847, -1.0176151710076171, -1.1059797435643999, -1.2005454061256746, -1.300280728478577, -1.4037740188211523, -1.5092224669552434, -1.6144427594112987, -1.7169060859400997, -1.8137997953907266, -1.9021184634577109, -1.9787886119833993, -2.0408319521300102, -2.085568480394258, -2.110849987930378, -2.115297050221595, -2.098494955576408, -2.0610974710047794, -2.0048006496028807, -1.9321806198160614, -1.8464264139910367, -1.7510245411616419, -1.6494562938891126, -1.5449536951249732, -1.4403358395727701, -1.3379251768069316, -1.239529254753164, -1.146468236645767, -1.0596294980345922, -0.9795345743361569, -0.9064082999030671, -0.8402439312992742, -0.7808609870634013, -0.727954509362744, -0.6811356668054249, -0.639964296328515, -0.6039743102773075, -0.572693006990165, -0.5456553103086524, -0.5224138838885375, -0.5025459560880107, -0.4856575719878067, -0.47138587287970735, -0.45939989670950454, -0.44940029835696327 ], [ -0.6465319223391484, -0.6924716470880712, -0.7447274674711091, -0.8036371543299019, -0.8694195224507528, -0.9421329068454718, -1.0216305460061421, -1.1075153550052441, -1.1990974685764713, -1.2953586535092998, -1.3949280424289394, -1.4960735134938938, -1.596712504779437, -1.6944454287322186, -1.7866146106283058, -1.8703920835026873, -1.942900160265487, -2.001367877613225, -2.043321784547331, -2.0667994528580316, -2.0705598055920613, -2.054251523434332, -2.0184976872770655, -1.9648672722580214, -1.895730212544017, -1.8140223916832987, -1.722967490517753, -1.6258066600234138, -1.5255756662779658, -1.424949995344978, -1.3261599010067504, -1.2309648199530314, -1.1406710701644645, -1.0561766275941191, -0.9780295783217662, -0.9064905579310254, -0.8415929415010417, -0.7831972583040432, -0.7310382142590783, -0.684763937538244, -0.643967791912485, -0.6082134867935527, -0.5770543753990626, -0.550047860336275, -0.526765777662336, -0.5068015436522794, -0.4897747462295584, -0.47533375895638985, -0.4631568572544712, -0.4529522279610285 ] ], "zauto": true, "zmax": 2.196790853850084, "zmin": -2.196790853850084 }, { "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": [ [ 0.6897011494463744, 0.6849496400717979, 0.6796023325477895, 0.673646085108838, 0.6670864410271494, 0.659952567361727, 0.6523020004964217, 0.6442246271397752, 0.6358451737250799, 0.6273233684765176, 0.6188509333702487, 0.6106447210092001, 0.6029356881967177, 0.5959540093643138, 0.589911421451745, 0.5849827048792119, 0.5812888119127743, 0.5788843151093137, 0.5777514254647239, 0.5778018701097183, 0.5788866578513424, 0.5808125163699401, 0.583362816575711, 0.5863202239264995, 0.5894881345771901, 0.5927081422486074, 0.5958713458005988, 0.5989222493354442, 0.601855237048779, 0.6047048941038206, 0.6075324684787096, 0.610411236621922, 0.6134133261062746, 0.6165997703433598, 0.6200145168742969, 0.6236821302358057, 0.6276082862736755, 0.6317819418774688, 0.6361782112828999, 0.6407613190123411, 0.6454873532447827, 0.6503067919984646, 0.6551668784950943, 0.6600139082461147, 0.6647954181846226, 0.6694621959610186, 0.6739699916454639, 0.6782808236382103, 0.6823638142426647, 0.6861955479290789 ], [ 0.6869565234936613, 0.681689726121285, 0.6757489087256292, 0.6691150188887356, 0.6617893951469581, 0.653799603970043, 0.6452052217493234, 0.6361029207213608, 0.626630007644302, 0.616965393337119, 0.607326908036784, 0.5979640086438327, 0.5891453346700228, 0.5811413045689046, 0.5742029531763584, 0.5685393064908703, 0.5642964551770644, 0.5615417724962232, 0.5602562075636617, 0.5603363303531798, 0.5616061550943978, 0.5638371846125594, 0.566773942294819, 0.570161592909935, 0.5737720355621738, 0.5774250294923436, 0.5810015387552281, 0.584447633816524, 0.5877689010142376, 0.591017073585753, 0.5942720247826729, 0.5976229034807121, 0.6011518508693126, 0.6049225763458153, 0.6089745372250258, 0.6133220826598289, 0.6179570669496242, 0.6228532267260793, 0.6279709190494346, 0.6332613708308265, 0.6386701357632165, 0.6441398289760439, 0.6496123661322367, 0.6550309173037664, 0.6603416818230471, 0.6654954787200045, 0.670449077779111, 0.6751661824672053, 0.6796180058227276, 0.6837834306331794 ], [ 0.6840637081558417, 0.6782529088724641, 0.671684096033144, 0.6643311716660365, 0.6561900350720419, 0.6472853991286105, 0.6376777425566743, 0.6274696952402643, 0.616810879058151, 0.6058999758697842, 0.5949826491957725, 0.5843440217232876, 0.5742948351714189, 0.5651512833027099, 0.557209787090386, 0.5507194510939468, 0.545856170806602, 0.5427028358874667, 0.5412394482278039, 0.5413453184464252, 0.5428133344035848, 0.5453742911103218, 0.5487278861521799, 0.5525762610596741, 0.556655710804205, 0.5607622895232851, 0.5647676614216616, 0.5686229176202311, 0.5723501996559907, 0.576024410015288, 0.5797493096110431, 0.5836331956879393, 0.5877688110319353, 0.5922204059577496, 0.5970186434415795, 0.6021620928889345, 0.6076229443275475, 0.6133544190377768, 0.6192979152150873, 0.6253887992209504, 0.6315605618908616, 0.6377475895644198, 0.6438870081505452, 0.6499200225976828, 0.6557930164476959, 0.6614585059016773, 0.6668759252212836, 0.6720121737891315, 0.6768418657138914, 0.6813472630519357 ], [ 0.6810309205671597, 0.6746503878040825, 0.6674226723992999, 0.6593134700670312, 0.6503119132621081, 0.640438429661539, 0.6297529862675827, 0.6183629692384219, 0.606429601471889, 0.5941714497831925, 0.5818633150694211, 0.5698287788029797, 0.5584250815661814, 0.5480199962024911, 0.5389619558495826, 0.5315466593184334, 0.5259851236697567, 0.5223789238585701, 0.5207075987667993, 0.5208309912697153, 0.5225064114123922, 0.5254179947421481, 0.5292140739704971, 0.5335476830166757, 0.5381150109918866, 0.5426865365727472, 0.5471260479549521, 0.551394326777103, 0.555537074473384, 0.5596600814858318, 0.5638975409895525, 0.5683806792842366, 0.5732130234034015, 0.5784560428510164, 0.5841256523939431, 0.590197343375389, 0.5966162992772134, 0.6033088557563722, 0.6101926535083017, 0.6171841681913303, 0.624203458543913, 0.6311766844534981, 0.6380371923245586, 0.6447258782610729, 0.6511912967956014, 0.6573897294551615, 0.6632852455749283, 0.6688496991098829, 0.6740625917437486, 0.678910760972714 ], [ 0.6778677762484507, 0.670895478109784, 0.6629825128481288, 0.6540852427054065, 0.6441846698377647, 0.6332953728589009, 0.6214751403084113, 0.608834526987345, 0.5955451314692345, 0.5818449249974934, 0.5680385544217827, 0.5544903735443447, 0.5416082811913604, 0.5298175254631837, 0.5195255954741048, 0.5110819224900368, 0.5047385891253645, 0.5006194709615429, 0.4987043131351513, 0.49883124326119727, 0.5007173573051433, 0.503993881883546, 0.5082508206167063, 0.5130854969099091, 0.5181490601281572, 0.5231845116899052, 0.5280498610013685, 0.5327217261305097, 0.5372784216407034, 0.5418664439758981, 0.5466584897850656, 0.5518129753162635, 0.5574436909101, 0.5636043456740145, 0.5702880111918237, 0.5774376918025524, 0.5849625305740821, 0.5927545228284096, 0.6007022793850123, 0.6087003770944178, 0.61665443009704, 0.6244829107407864, 0.6321169906438154, 0.6394994833391593, 0.6465835993510598, 0.6533318592797001, 0.6597152480156384, 0.6657125545402806, 0.6713098014684438, 0.6764996849408237 ], [ 0.6745848107663229, 0.6670030460137828, 0.6583839515673283, 0.6486735395950084, 0.637843363906737, 0.6259005347214687, 0.6128988017012807, 0.5989499380845272, 0.5842341501721163, 0.5690076353520599, 0.5536048178178823, 0.5384324100431913, 0.523952611503046, 0.5106538698563835, 0.49900998191256923, 0.48943172514935684, 0.4822187139351496, 0.4775211067196984, 0.4753196818822103, 0.47542865206179336, 0.47752031164146236, 0.48116675183881874, 0.48589253028627444, 0.49123224681739397, 0.4967865895257589, 0.5022690583389552, 0.5075347012985385, 0.5125838803977625, 0.5175391025677604, 0.5225999738367605, 0.5279875601683046, 0.5338921116964509, 0.5404360091537705, 0.5476579276960973, 0.5555172572007829, 0.5639125987921186, 0.5727062025303216, 0.5817472887294, 0.5908899358794865, 0.6000041218631746, 0.6089806175941906, 0.6177314749567899, 0.6261880075302507, 0.6342977950745854, 0.6420216914358333, 0.6493313088473203, 0.6562070953649167, 0.6626369295295754, 0.6686150895816985, 0.6741414612109671 ], [ 0.6711928677435134, 0.6629887509330681, 0.6536488746149766, 0.6431080882415182, 0.6313273308499868, 0.6183046809822289, 0.604087898703386, 0.5887877378261336, 0.5725907220961471, 0.5557693369480592, 0.5386867736009058, 0.5217926950851445, 0.5056063859453255, 0.4906846848158575, 0.4775748282271245, 0.4667567551061476, 0.45858436149179366, 0.4532382268407312, 0.45070102721154465, 0.45076100068243263, 0.45304147277369333, 0.45704974601098874, 0.4622381503180865, 0.4680713509191107, 0.4740935816061727, 0.47998650592674463, 0.48560572391964474, 0.49098531277910706, 0.4963066498160825, 0.5018380260210211, 0.5078608183218003, 0.5146019213884175, 0.5221888193991977, 0.5306347407223462, 0.53985109950307, 0.5496773002601857, 0.5599160348379911, 0.5703646142601653, 0.5808372550432945, 0.5911773389036292, 0.6012613182324852, 0.6109970170828339, 0.6203190130472294, 0.6291831370228498, 0.6375613376958683, 0.6454374848518214, 0.6528042298845108, 0.659660797708562, 0.6660114958139245, 0.6718647277854781 ], [ 0.6677023736962002, 0.6588681110911411, 0.6487995507609028, 0.6374198770886073, 0.6246785287790473, 0.6105631929729969, 0.5951137534136414, 0.5784375593633733, 0.5607247349046024, 0.5422613674704705, 0.5234373537580985, 0.5047446530026608, 0.4867611805536768, 0.47011636661305795, 0.4554374295981143, 0.4432810368258659, 0.43406195539382436, 0.42799504533935634, 0.42506548127811905, 0.42503366677107135, 0.42747076621383195, 0.4318151054016868, 0.4374411591684524, 0.4437366233846745, 0.45018258765827596, 0.4564258956030342, 0.46232676539659484, 0.4679653275430779, 0.47360028862650283, 0.479588072369432, 0.48628465583896097, 0.49395814992306725, 0.5027348819027725, 0.5125879852043627, 0.5233623590292937, 0.5348202869196651, 0.5466906664627944, 0.5587095974156018, 0.5706468726403919, 0.582318483861418, 0.5935883498413008, 0.6043633568892215, 0.614585314774242, 0.6242223801644081, 0.6332614183896889, 0.6417019245524698, 0.6495515766141472, 0.6568232085220747, 0.6635328910276673, 0.6696988114833339 ], [ 0.6641225372316879, 0.6546554315112869, 0.6438572362082302, 0.6316393912661588, 0.6179393766575367, 0.602733511806344, 0.5860521880336962, 0.5679970336344028, 0.5487588225683783, 0.5286339340387929, 0.5080358548633588, 0.48749676167114286, 0.46765313723982976, 0.4492096840485444, 0.4328789327497213, 0.4193009233369347, 0.40895698030468014, 0.4020990328494697, 0.39871446577171077, 0.39853413303963475, 0.40107560170815504, 0.40570688245991643, 0.4117214358303748, 0.41842375073562, 0.4252242056550403, 0.4317306378616348, 0.4378121767716499, 0.44360998646384453, 0.4494831401651547, 0.4559003346024437, 0.46330900142611164, 0.47202210239562564, 0.4821544156424741, 0.4936187310833971, 0.5061698740087928, 0.5194719694422877, 0.5331649325503237, 0.5469150434755361, 0.5604446750900863, 0.5735434099487952, 0.5860659915669353, 0.5979228546842147, 0.6090678081445691, 0.619485869970635, 0.6291828529666418, 0.6381772853275107, 0.6464946334093591, 0.6541634896240833, 0.6612132903290608, 0.6676731429455542 ], [ 0.6604605288990246, 0.6503626591358592, 0.6388406234530943, 0.6257945701774051, 0.6111501417785853, 0.5948718988421026, 0.5769796466660121, 0.5575673372525282, 0.536823517145038, 0.5150511946101988, 0.4926834426713314, 0.4702891294355216, 0.44856136048878953, 0.4282807412416652, 0.4102484879886644, 0.39519280753649066, 0.3836652256956442, 0.3759551331604054, 0.37204978230914265, 0.37164858682846796, 0.37421685903625945, 0.37905585902058037, 0.385379360220754, 0.39240418583756076, 0.39946131909943566, 0.40611336271522464, 0.4122422931041295, 0.41806812606933597, 0.4240788101356197, 0.4308850654078884, 0.43904527902175494, 0.44891882677519895, 0.46059255235407437, 0.4738914697892573, 0.48845119752675575, 0.5038140878561049, 0.5195160995828558, 0.535147019998534, 0.5503813283083132, 0.564985511930624, 0.5788102771514556, 0.5917752514108514, 0.6038516334580853, 0.615046068561574, 0.62538732194687, 0.6349161916277835, 0.64367845775662, 0.6517203709117452, 0.6590861029022764, 0.6658166174238765 ], [ 0.6567207167963147, 0.6459982571911258, 0.6337642432394239, 0.6199086095346983, 0.6043460045709477, 0.5870296294848721, 0.5679684109121872, 0.5472473848024144, 0.5250504835139451, 0.501683769644141, 0.4775953982219808, 0.4533861837507781, 0.4298019807396188, 0.40769747616476815, 0.38796321617135343, 0.371417368734264, 0.35868166612320795, 0.350078924538271, 0.3455898959391441, 0.344879656903459, 0.34736658141830945, 0.3522965082233016, 0.35881227449787395, 0.3660418359055878, 0.3732267075799344, 0.3798748325965831, 0.3858837002434931, 0.3915728538185563, 0.3975939950271381, 0.40473615376532024, 0.4136906185578901, 0.4248609183813017, 0.43828116976223563, 0.45365240629159664, 0.4704563910384415, 0.4880889169959266, 0.505969097038098, 0.5236070750711377, 0.5406324677013911, 0.5567947112777335, 0.5719473758128883, 0.5860258380230177, 0.5990243648721855, 0.6109758825977649, 0.6219357825381497, 0.6319699466464914, 0.6411465621010246, 0.6495310424582631, 0.657183329616547, 0.6641569106562989 ], [ 0.6529040496307246, 0.6415662169048689, 0.6286369678274182, 0.6139977878866381, 0.5975540100382724, 0.5792488484091872, 0.5590811324547587, 0.5371268398481542, 0.5135638904923395, 0.4886985107460248, 0.46298956701248667, 0.4370644111226931, 0.4117161568749605, 0.3878692059632964, 0.366500732532017, 0.34851643154074613, 0.3346026266600942, 0.3251043161569974, 0.31998238759000425, 0.31886202983604256, 0.3211250694987605, 0.3259846022947848, 0.33253262953280205, 0.33981238544710135, 0.34696427850378164, 0.35342760478192997, 0.3591155048810106, 0.3644702431309224, 0.37034917031390246, 0.3777631424186625, 0.3875600108462577, 0.4001788277840538, 0.41556495917484465, 0.433249434383247, 0.4525213269718669, 0.47260658658692856, 0.4927992804102527, 0.5125320048306121, 0.5313967874649845, 0.5491348067250911, 0.565610788879716, 0.5807828142885502, 0.5946736702507194, 0.6073466590689243, 0.618886781694341, 0.6293871215735618, 0.6389397332249772, 0.6476301615071408, 0.6555347220243736, 0.6627197616664154 ], [ 0.6490076905313458, 0.6370653454403724, 0.6234607984311609, 0.6080695527676006, 0.5907901994295858, 0.5715584387316749, 0.5503650825237894, 0.5272783585341629, 0.5024702768932879, 0.47624570722078124, 0.4490708235469153, 0.42159432721274326, 0.3946502409120996, 0.3692261493847948, 0.3463795776172939, 0.3270960566441282, 0.3121132388945406, 0.30177670914699634, 0.29600341190195306, 0.294367822903183, 0.2962310731487716, 0.3008111059894013, 0.30718499485779693, 0.31432343729561973, 0.32125280645409804, 0.3273240715940468, 0.33246216588397265, 0.33725673868783795, 0.3428194971849102, 0.3504337706499684, 0.3611277104555762, 0.37535755035762386, 0.3929300779977279, 0.413151106739586, 0.435077533827117, 0.45774789314959946, 0.48033074065432835, 0.5021898378530184, 0.5228912206384227, 0.5421787445769548, 0.5599371424727058, 0.5761537460484363, 0.5908844181342426, 0.6042258568418079, 0.6162945870095256, 0.6272120460168914, 0.6370947983982379, 0.6460488289963978, 0.654166920778462, 0.6615282383305466 ], [ 0.6450250085256982, 0.6324889799984036, 0.6182301432621768, 0.6021211452549683, 0.5840572906123151, 0.5639703795481086, 0.5418467083162839, 0.5177497642418386, 0.4918476772805601, 0.46444445697129894, 0.4360120351161014, 0.40721657449266413, 0.37892690503327264, 0.3521859574735889, 0.3281220430853044, 0.3077870750504698, 0.2919477382592695, 0.2809159588849444, 0.2745268960532229, 0.27228522730856564, 0.27355135498390226, 0.27760201020112135, 0.28355432507863454, 0.29032958206409526, 0.2968274174586937, 0.30228530308752827, 0.3066308681885756, 0.31062491328688674, 0.31568667991918953, 0.323427663129274, 0.3350770534065419, 0.3510766745147505, 0.3710305536071201, 0.393959163787082, 0.41865375030316543, 0.443959000508158, 0.46892782696491603, 0.4928707001857279, 0.5153425343891158, 0.5361015193910679, 0.5550604887745673, 0.5722411267256379, 0.5877352732303076, 0.6016744435533334, 0.6142071820082465, 0.6254832397749788, 0.6356433721017009, 0.6448135641323121, 0.6531025979189664, 0.6606020070689698 ], [ 0.6409460273592175, 0.6278252749791277, 0.6129317981989351, 0.5961390633465504, 0.5773433252401683, 0.5564771626770094, 0.533527258376477, 0.5085571412586013, 0.48173523698436016, 0.4533676396719231, 0.42393303851340086, 0.39411343126191073, 0.3648077181276917, 0.3371060398092195, 0.3121952220116789, 0.291174443485099, 0.2748082074133272, 0.2633286497722084, 0.2564384541342799, 0.2535441945071868, 0.2540256809996915, 0.25728414388268855, 0.26254907300317787, 0.26872825950003765, 0.274586150967226, 0.2792195571556424, 0.2825443982784947, 0.2855109217532077, 0.289896747987064, 0.2976959071574829, 0.3103513388072766, 0.32824400741181053, 0.3507017908194139, 0.3764052672149076, 0.4038623998651556, 0.4317338602311828, 0.45897770053654613, 0.48487161891969394, 0.5089750617571339, 0.5310707288980585, 0.5511052481027024, 0.5691371926519596, 0.5852949120666674, 0.5997441228924504, 0.6126642064771897, 0.624231847641418, 0.6346106314340318, 0.643945315793409, 0.6523596354304667, 0.6599566345503711 ], [ 0.6367584110548423, 0.6230581881049825, 0.6075458233415829, 0.5900996536902826, 0.5706217081077827, 0.5490508830530952, 0.5253803498541662, 0.49968006527815734, 0.4721249781146487, 0.4430286934960366, 0.4128804249882762, 0.3823790632872884, 0.3524507587356017, 0.32422489534459403, 0.298932021337819, 0.27769411300925895, 0.2612355168064341, 0.2496567678577429, 0.24247378037700254, 0.23896291988387677, 0.23853804871155082, 0.24078781039062938, 0.2451313190585034, 0.25050980211577323, 0.25555579294072484, 0.25920531726520013, 0.2613454446778962, 0.263121254167629, 0.26670274452244586, 0.2745052215307287, 0.28818303082157226, 0.3080001279368507, 0.33294203586121834, 0.36131861059399134, 0.39136337185523473, 0.42158086097486686, 0.45086280763255226, 0.47847527650988103, 0.503994989602262, 0.5272352693785062, 0.5481782128822786, 0.5669183163444964, 0.5836180942319735, 0.5984745589650041, 0.6116949597106864, 0.6234801622290247, 0.6340141837350342, 0.6434585604592455, 0.6519503807006597, 0.6596029558161933 ], [ 0.6324490312007075, 0.6181692502014723, 0.6020474611794514, 0.5839710695974429, 0.5638530142115731, 0.5416445815885402, 0.5173523541454405, 0.4910602789567647, 0.46295764359467595, 0.43337299532361195, 0.40281213690528456, 0.37199412883720606, 0.341870937422355, 0.31360265983351554, 0.2884453676175715, 0.26751405146812285, 0.25145227558280664, 0.2401835658975248, 0.23299801749515572, 0.22902057740915538, 0.22770486294503325, 0.22886400054471542, 0.2321634616524042, 0.2366269095809116, 0.24077918863831588, 0.24339704171141113, 0.2443253420442676, 0.2448872718945057, 0.24763837846738954, 0.2554128041896339, 0.27005131172967867, 0.29165366991384195, 0.3188353190818693, 0.349550706087054, 0.3818000634257948, 0.41397314956841835, 0.4449244555121045, 0.4739242550005796, 0.5005725541051205, 0.5247131991813784, 0.5463603413430491, 0.5656394739272851, 0.5827419214804654, 0.597890819857543, 0.6113166172447361, 0.6232403399895904, 0.6338631031442806, 0.6433605454938245, 0.6518810261764809, 0.659546548270829 ], [ 0.6280061128771938, 0.6131401418369914, 0.5964101645291627, 0.5777167372241165, 0.5569888233457448, 0.5341962861370907, 0.5093663364506623, 0.48260499778087707, 0.45412450023092, 0.42427680113521016, 0.3935914955660157, 0.36281192317081057, 0.33291416388910683, 0.30507805320281267, 0.2805619470414256, 0.260439081473989, 0.24523477155022153, 0.23467113815521498, 0.2278101258338269, 0.22363361085037078, 0.22163440013619087, 0.22184157680525202, 0.22417334494900984, 0.22777034380142785, 0.23109929025330309, 0.23281461633800293, 0.23271885781905055, 0.23226832849850723, 0.2343295404326919, 0.24207947669335886, 0.25749315191757194, 0.28050040062061593, 0.30939513891296916, 0.34185330334653313, 0.37571098508899203, 0.4092876859911317, 0.4414219861078759, 0.47139411702498785, 0.49882443960179396, 0.5235802801043695, 0.545699312709502, 0.5653294068688042, 0.5826826810754651, 0.5980012967100862, 0.6115328307340934, 0.6235134268422181, 0.6341572197952402, 0.6436507411344073, 0.652151163498273, 0.6597873529358735 ], [ 0.6234218966018276, 0.6079560207749136, 0.5906096975016857, 0.571300333705059, 0.5499776614111834, 0.5266359619371048, 0.5013299848992654, 0.4741956553369724, 0.44547652640062696, 0.41555618904221386, 0.3849947863524588, 0.35456298683247056, 0.325256923294592, 0.2982608776377006, 0.2748066234029909, 0.25588845218475914, 0.24188644502255457, 0.2323289423937082, 0.22609512556367597, 0.22207067559417276, 0.21978693233199578, 0.21943277867709177, 0.2211213112957119, 0.22411372265692608, 0.2268850284600873, 0.2280404957916281, 0.2273595089999072, 0.22636213464122676, 0.22807487609528587, 0.23585219545165662, 0.25172705160901404, 0.27551975702674786, 0.3053435262263343, 0.3387293699389273, 0.37343387166465125, 0.40774500396654306, 0.4404952828465324, 0.47097010863019745, 0.4987992855861809, 0.5238609514106559, 0.5462039074133053, 0.5659871284280118, 0.583433676883289, 0.5987963539973912, 0.6123328779355536, 0.6242888068722694, 0.6348867425563516, 0.6443205619064827, 0.6527535598467499, 0.6603194818627082 ], [ 0.6186956866220835, 0.602609452353908, 0.5846291473233275, 0.5646921098116382, 0.5427728936563845, 0.5188952623657125, 0.49314752365111647, 0.46570228477924513, 0.4368415493172894, 0.406987215812925, 0.3767347251265225, 0.34688239370708734, 0.31843861085603226, 0.2925723148981367, 0.2704566653805332, 0.25297347550444177, 0.24034851902452645, 0.23195816797928426, 0.2265846334036254, 0.22309315477736127, 0.22105472762655132, 0.22073075790419694, 0.2223219292981376, 0.22517795309149896, 0.22784467342911777, 0.2289677309917418, 0.22833667499397464, 0.2274566828773014, 0.22931902905075066, 0.23723416218776955, 0.25320496481414717, 0.27705041796580393, 0.30690125118821404, 0.3403062559469128, 0.37503138500582706, 0.40936609559177434, 0.44213971318317846, 0.4726325330588901, 0.5004691337069186, 0.5255233513492925, 0.5478411513798833, 0.567580332770288, 0.5849643878533147, 0.6002479237271119, 0.6136915007357454, 0.6255441674195941, 0.6360322815813833, 0.6453534069180561, 0.6536741951037665, 0.6611312428976143 ], [ 0.6138370867384382, 0.5971046978597542, 0.5784645490932319, 0.5578761998550054, 0.5353421487694531, 0.5109195952290265, 0.4847350698839416, 0.45700296166256477, 0.4280487571566709, 0.3983367582515075, 0.3684993638763319, 0.33935934187696354, 0.31192604894202, 0.28733124616165373, 0.26666003054838666, 0.25065981049450237, 0.23941517691929423, 0.23221878732211304, 0.22786108433248348, 0.2252691895371496, 0.22405151751569452, 0.2244452604104956, 0.22661421440803572, 0.2299394065576072, 0.23307584324013872, 0.2347855304422998, 0.2349004368819706, 0.2348417196414899, 0.23738827938213164, 0.24560458455983172, 0.26138238560468496, 0.284636985079246, 0.3136990419383509, 0.34628838938367645, 0.38026707071768917, 0.41396061517612986, 0.4462006220656669, 0.4762544475812487, 0.5037287453294368, 0.5284794395654878, 0.5505368179304551, 0.5700460521083737, 0.5872211615039582, 0.6023101727700366, 0.6155695147890974, 0.6272460369881689, 0.6375653106229525, 0.6467250487066606, 0.654892582839315, 0.662205400265815 ], [ 0.6088691600912408, 0.5914620225852328, 0.5721306919505985, 0.5508583709065376, 0.5276775804570039, 0.502681629599119, 0.47603833216463765, 0.4480069147987878, 0.41895879894663085, 0.38940166218548555, 0.3600030624320979, 0.3316038314294505, 0.30520141029542636, 0.2818709929977433, 0.26258981373594825, 0.2479669030051297, 0.237979561544254, 0.23191698374344047, 0.22867856487705127, 0.22732013362195155, 0.22747461051627133, 0.22926393851356108, 0.23270223635834855, 0.23713742680567276, 0.24134133068691366, 0.24423495493059916, 0.24571125704221497, 0.24706116103199494, 0.2507409168350963, 0.2594469504586198, 0.2749026069989393, 0.2971628418044632, 0.32486651075952216, 0.3560148126793151, 0.3886423985152839, 0.42115100222560603, 0.4523893555583006, 0.4816125565471507, 0.5084031882326523, 0.5325904103555615, 0.5541793827178818, 0.5732936127567606, 0.5901294712683618, 0.604921260609513, 0.6179152015956331, 0.6293509030080693, 0.6394490738286939, 0.6484043739320154, 0.6563823775352348, 0.6635196728365279 ], [ 0.6038311961782395, 0.585721605329878, 0.5656665570272613, 0.5436734907306131, 0.5198060218827925, 0.4941950034885217, 0.46705101992793463, 0.43867915168365124, 0.40949659465864363, 0.3800522544657514, 0.3510438774039967, 0.3233218736000486, 0.2978599282990803, 0.27566439187661274, 0.25760015159881794, 0.24415438720084928, 0.235245449618229, 0.23023501108679273, 0.22820785443040123, 0.22838497330016125, 0.23039573076053585, 0.23416914553353999, 0.23948523959872645, 0.24560453762676063, 0.2514015117307648, 0.2559650544851052, 0.2592522840847623, 0.26240446120633054, 0.26751991651774637, 0.27689223421553194, 0.29204930263329193, 0.31317681442318024, 0.33924677463617514, 0.3685939483562588, 0.3994804655080191, 0.430424929156755, 0.4603167338864842, 0.48840905408612645, 0.5142624249422184, 0.537676664790424, 0.5586269994416807, 0.5772096289586969, 0.5935975758521811, 0.6080060840570571, 0.6206664143424809, 0.6318068618051034, 0.6416399023891329, 0.6503544496254506, 0.6581122473763302, 0.665047453418403 ], [ 0.5987807343891316, 0.579946574734089, 0.5591397485411391, 0.5363918573130738, 0.5117978825875699, 0.4855266862367273, 0.45783188424458, 0.429063802491369, 0.3996830983820583, 0.37027514720724736, 0.3415604278888119, 0.3143895145595553, 0.28970352492318724, 0.26843750091853547, 0.25135700156407687, 0.2388632597993881, 0.23087080704473698, 0.226871378665709, 0.22617257909470548, 0.22815819640959265, 0.23241095105787443, 0.2386084531154679, 0.24624953991126722, 0.2544763973181696, 0.2622456458291428, 0.2688012604492052, 0.27415782809571243, 0.2793093757472894, 0.28601475417031613, 0.296189002738096, 0.31116286361451834, 0.33121765579354956, 0.35562643336836647, 0.38305758232165754, 0.4120264931141014, 0.4412005794347933, 0.46953575965003963, 0.49629994040962305, 0.5210403928253925, 0.5435308945862507, 0.563716639248722, 0.5816645130288753, 0.5975212541512291, 0.6114797978763136, 0.6237532559114346, 0.6345557017745933, 0.6440888687850472, 0.6525338601119273, 0.6600469695131674, 0.6667587144282702 ], [ 0.5937944864924842, 0.5742246757346189, 0.5526492334469757, 0.5291234506022402, 0.5037734999818839, 0.4768062277966886, 0.4485179631934861, 0.41930286748048595, 0.3896615398577571, 0.36020940719987876, 0.33168057142165047, 0.30491605058449556, 0.28081881524340224, 0.26025910379686085, 0.24393106236896955, 0.2322009695565297, 0.22503552550716568, 0.22208699889280697, 0.22287444568994333, 0.22689940748693524, 0.23364541510727113, 0.24250824273767352, 0.2527021264522334, 0.2632507505823751, 0.2731784763448542, 0.2818629433393244, 0.28936535993303913, 0.2965474505845997, 0.304873228299678, 0.3159302345637332, 0.3308657066421751, 0.35001716794094745, 0.37290127379703003, 0.3984857532915105, 0.42553728503307686, 0.45288902031809003, 0.47958465009392875, 0.5049247001313114, 0.5284555895150405, 0.5499324961765915, 0.5692743072409766, 0.5865198232613201, 0.6017891808032386, 0.6152518241465275, 0.627101132890237, 0.6375352806312908, 0.6467436760606078, 0.6548982361902252, 0.6621486860111621, 0.6686210501613876 ], [ 0.5889678290374941, 0.568668093163448, 0.5463257179139717, 0.5220191597821775, 0.49590561475415046, 0.46823002177638423, 0.4393313898782614, 0.4096466549361129, 0.3797130070226828, 0.3501692043809102, 0.3217531139414096, 0.29528606315677763, 0.27162865856422613, 0.2515970793038434, 0.2358487687587585, 0.22477234664724643, 0.21843866973457363, 0.21666245036748874, 0.21911319947385163, 0.22532679997261884, 0.23463758911603808, 0.24616767675486814, 0.25888894899617765, 0.271736642262181, 0.2837991846103443, 0.29456574802269453, 0.30413205867851817, 0.31324603594663775, 0.3231271557168693, 0.33509120013566424, 0.3501215880940415, 0.36857829513629614, 0.3901601370932459, 0.414083693821067, 0.4393447545102449, 0.46494335467177866, 0.49002346805621005, 0.5139330680204985, 0.5362304646279489, 0.5566616039593696, 0.5751252399812724, 0.5916357366361061, 0.6062884694187439, 0.6192300289136322, 0.6306339607050128, 0.6406820342174131, 0.6495506606403123, 0.6574018828250584, 0.6643782461736458, 0.6706007955702242 ], [ 0.5844126087224701, 0.5634110418383774, 0.5403290794700337, 0.5152681344413388, 0.48841673101727157, 0.4600587770672624, 0.43057711638471996, 0.40045201199524977, 0.37025567205286886, 0.3406448319710136, 0.3123515709918292, 0.2861664295310926, 0.2629015178304437, 0.2433265243305382, 0.22809087781805104, 0.21765356108981604, 0.21222890236947178, 0.21177330483085396, 0.21601312195063174, 0.22441783994084666, 0.2361421833800602, 0.2500851146891479, 0.2650554124030748, 0.27995045968596544, 0.2939272784892726, 0.3065664652119085, 0.3179858409308814, 0.3288358929339471, 0.34013642623336054, 0.3529808175291817, 0.36820829026633467, 0.3861751826000034, 0.4067071096454085, 0.42921547263920984, 0.452891647348583, 0.4768910612542258, 0.5004609699282623, 0.5230062362371273, 0.5441077013371751, 0.5635114021095499, 0.5811031587505654, 0.59687800825137, 0.6109099398748631, 0.6233247529647763, 0.6342772940587794, 0.6439334498138947, 0.6524567816400244, 0.6599994061083491, 0.6666965559117053, 0.6726641570293015 ], [ 0.5802531262244245, 0.5586048862054762, 0.5348424639289561, 0.5090906415657696, 0.4815704072266964, 0.4526067352410633, 0.42262929035064684, 0.3921647894677585, 0.36182201479478093, 0.3322732431528197, 0.30423658085913635, 0.27845909337202707, 0.25569274846704765, 0.23665740374440172, 0.2220033509963375, 0.21227840066834333, 0.20785135415476527, 0.2087872747528346, 0.2147823206336288, 0.22516238930133725, 0.23890718102338818, 0.2547734512035173, 0.2715011859594178, 0.288005042557945, 0.30351750133748145, 0.3176928280962462, 0.33065892789694795, 0.3429811508978307, 0.3555152839141211, 0.36917164289722854, 0.3846618553599456, 0.4023190133806416, 0.42204927737421805, 0.4434081951506202, 0.46574499324766605, 0.48835083821901015, 0.5105712327229953, 0.5318715334001946, 0.5518623998401085, 0.5702978813677324, 0.5870579282392654, 0.6021239279974141, 0.6155527462905784, 0.6274524269646269, 0.6379611804910393, 0.6472303499486567, 0.6554114770072413, 0.6626472445717012, 0.6690658574602883, 0.674778292198364 ], [ 0.5766203392419518, 0.5544107865988782, 0.5300629665045106, 0.503726222229316, 0.47565607746462646, 0.4462219296460487, 0.4159050754783845, 0.38528442697112697, 0.35501024680361076, 0.32577126614872265, 0.29826506425292093, 0.2731800823046956, 0.25118789748077336, 0.23293875086032936, 0.2190645838088098, 0.21017760669298466, 0.2067706991379267, 0.20898363866606132, 0.2164472195820673, 0.22833262974724838, 0.24348854263640335, 0.2606159178660484, 0.27846833873525084, 0.296021884430351, 0.3125886025631594, 0.3278811824816909, 0.3420273292266699, 0.3555162593700964, 0.3690667404272895, 0.3834358074743093, 0.3992203416326697, 0.41671534510117414, 0.4358701646986646, 0.4563400516119046, 0.4775947802682782, 0.49903755257667404, 0.5201014473213161, 0.5403108617175811, 0.5593099781140454, 0.5768667018620243, 0.5928612692993777, 0.6072669645774118, 0.6201281106060599, 0.6315385673809225, 0.6416225762774475, 0.6505188594727493, 0.6583682848704424, 0.6653050226368037, 0.6714508720470322, 0.6769122831210304 ], [ 0.5736445469945848, 0.5509901807080562, 0.526189253145858, 0.49941755664607135, 0.47096788356539243, 0.44125808548099066, 0.4108267158537231, 0.3803117479004912, 0.35041130967442263, 0.32183287159341556, 0.29524679738102183, 0.2712637699697199, 0.25044463139912665, 0.23333322010823954, 0.22049944045308917, 0.21256161635607262, 0.21007443129591677, 0.2132276402940869, 0.221618989915769, 0.23432911426800115, 0.2501484335630861, 0.26779247858428273, 0.28608196933155117, 0.3040796267297822, 0.32117637162724033, 0.3371311701937348, 0.35206451605192085, 0.3663972082133118, 0.38073177656221, 0.39569436740354946, 0.4117767421753783, 0.42922442023587803, 0.44800019973195865, 0.4678214894922064, 0.48824430707870303, 0.5087592212782586, 0.5288729904337527, 0.5481638804048573, 0.5663101533505485, 0.5830972117477353, 0.5984104371832318, 0.6122199606852603, 0.6245620208452287, 0.635520025191136, 0.64520721482602, 0.6537519639566944, 0.6612861537293757, 0.6679366626849631, 0.6738197523797704, 0.6790379578193024 ], [ 0.5714470650559613, 0.5484937726848611, 0.5234070135541703, 0.4963912371663219, 0.46777918466737906, 0.438040594578619, 0.40777561297530296, 0.377686100591452, 0.3485217055614853, 0.32100762117920073, 0.29577638590036737, 0.273336728299427, 0.2541013966508112, 0.23846250130035548, 0.22687730559888614, 0.2199093954540744, 0.21811477255531403, 0.22172233514112832, 0.23036482498764377, 0.243134497863838, 0.25884501925145276, 0.2762758621251951, 0.29434077056777674, 0.3121973042646202, 0.32931081592354644, 0.3454781606814489, 0.36080994867050414, 0.3756669197066959, 0.3905526106126738, 0.40597978867355705, 0.422342525323859, 0.4398281271049792, 0.45838937493369486, 0.47777485655546126, 0.4975967088683561, 0.5174092760814548, 0.5367778703156216, 0.5553271587350409, 0.5727676509601693, 0.5889039214228611, 0.603629971854831, 0.6169168869187127, 0.6287968562741602, 0.6393464328313868, 0.6486708704218344, 0.6568906058901096, 0.6641303937869655, 0.6705112141410176, 0.6761448089441031, 0.6811305292567401 ], [ 0.5701316321580001, 0.5470500617400669, 0.5218736895991978, 0.49483749555228307, 0.4663157148937554, 0.43683103940327517, 0.40704547675128566, 0.3777235154699156, 0.34966206638032765, 0.32359447163268845, 0.3000980127592362, 0.2795530192537043, 0.26219065571036937, 0.2482157341833564, 0.2379391110772377, 0.23183568124298373, 0.23043114029399953, 0.23399195090729183, 0.24224157970283108, 0.2543719250501079, 0.26928996952433526, 0.28587377477158055, 0.3031405702463815, 0.32034163283008715, 0.3370112059902702, 0.3529796922418053, 0.36834969107112314, 0.38343204992444024, 0.39864709696183936, 0.4144089621449939, 0.43102030968829247, 0.4486037676353539, 0.46708379031658454, 0.4862150790856461, 0.5056403410597771, 0.5249564058549017, 0.543772258763604, 0.5617504572799842, 0.5786303657169981, 0.5942358555801613, 0.608471748517005, 0.6213132656119176, 0.6327919840795722, 0.6429808583508844, 0.6519800085940106, 0.6599043022021973, 0.6668732503688994, 0.6730033804593749, 0.6784029920318626, 0.6831690350119354 ], [ 0.5697764552750308, 0.5467547096355866, 0.5217043506028369, 0.49489160161515927, 0.4667313875681001, 0.43779627235423635, 0.4088038172207685, 0.38057057451782433, 0.35392518058475386, 0.3295890187535, 0.30806186519015105, 0.2895755222757079, 0.27416537061377166, 0.2618414336829405, 0.2527653190893885, 0.24732138575327967, 0.24600041814295343, 0.2491048675130179, 0.256469584213746, 0.2674321581839169, 0.28103840188961626, 0.2962894252468666, 0.3123112844736891, 0.32844552181070763, 0.34429085960985717, 0.35971061800723153, 0.37480518543500096, 0.3898477559798181, 0.40519098003233633, 0.4211637853536075, 0.4379834082761255, 0.45570343235059624, 0.4742060438079826, 0.4932322543843207, 0.5124343734749935, 0.5314333945382911, 0.5498683410737915, 0.567431087373967, 0.5838856496972556, 0.5990742337038364, 0.6129136151692894, 0.625385439907963, 0.6365234308307793, 0.6463997253026219, 0.655111854758174, 0.6627712990319291, 0.669494106343946, 0.6753937458140034, 0.6805761284034084, 0.6851365749019728 ], [ 0.5704278386127438, 0.5476621231167353, 0.5229607192980269, 0.4966198502107336, 0.46909098404094823, 0.4409881771695684, 0.41307053292797313, 0.3861861892832974, 0.3611695531078054, 0.338703035668255, 0.3191890719866357, 0.3027070403147165, 0.28911109800669393, 0.27824194008405323, 0.27013632636154267, 0.2651043057528361, 0.2636069047388702, 0.26597549246688384, 0.2721482548463717, 0.28161556460445597, 0.2935803113034479, 0.30718026091707634, 0.3216532700199651, 0.3364279840762824, 0.35116482895849227, 0.3657620797429402, 0.38032641027506736, 0.3951071787270664, 0.41040502242782717, 0.42647660259887005, 0.44345997768312023, 0.4613373895046403, 0.47993868239031534, 0.4989761226480335, 0.5180950916861198, 0.5369257124007121, 0.5551252822603772, 0.5724070569963559, 0.5885552932882012, 0.6034289015918248, 0.616956917919979, 0.6291288952696629, 0.6399827685938443, 0.6495920918233161, 0.6580539435041859, 0.6654783056525346, 0.6719793420407063, 0.6776687211289296, 0.6826509262384627, 0.6870203560393292 ], [ 0.5720962163269742, 0.5497804400802743, 0.525645058439786, 0.5000125562196861, 0.4733630456463985, 0.4463383994715698, 0.4197184863794325, 0.3943552848706685, 0.371057706850597, 0.3504427444321817, 0.3328058252744764, 0.31809020568745694, 0.30600883483252084, 0.29628125538281563, 0.28885727538770734, 0.28399228163814644, 0.28212071062357374, 0.28359090047189484, 0.2884232402180201, 0.29624539641900216, 0.3064140161740356, 0.3182049080286686, 0.33096638959898245, 0.34421025747050443, 0.3576563289273035, 0.3712409035971374, 0.38508650475269235, 0.39943300087482414, 0.4145445426427348, 0.43061822143161715, 0.4477197692170641, 0.46575991018367485, 0.4845096830429875, 0.5036419567644775, 0.5227829190860523, 0.5415601862441674, 0.5596397826240476, 0.5767494999657871, 0.5926896478760318, 0.6073338841681906, 0.620623202501204, 0.6325558498737445, 0.6431753744613496, 0.6525584040810216, 0.6608032319779619, 0.6680198683971291, 0.6743218975422536, 0.6798202430064119, 0.6846187737747865, 0.6888115647025262 ], [ 0.5747551171226178, 0.5530706525606416, 0.5296999001398347, 0.50498528439577, 0.47942428101573703, 0.4536688880282894, 0.4284950082538369, 0.4047283522671091, 0.38312261372820944, 0.3642104541047269, 0.3481840474172563, 0.33488262349348535, 0.3239309605160841, 0.3149826577527691, 0.30793953842896077, 0.30301907654076904, 0.30062888050925934, 0.3011214695888496, 0.3045769322478796, 0.3107367377357026, 0.3190950215775126, 0.3290559134463814, 0.34007048984562926, 0.3517268020126691, 0.3638003591804742, 0.3762677223934045, 0.3892760723583551, 0.40306923862633837, 0.4178895110440857, 0.43388671319550626, 0.45106184354956524, 0.46925615968931256, 0.4881789649834812, 0.5074572880636397, 0.526689961284485, 0.5454938406281888, 0.5635364913848513, 0.5805547333663753, 0.5963612407000896, 0.6108423756133794, 0.6239503569998827, 0.6356923260357299, 0.6461182284502092, 0.6553088502734536, 0.663364873278428, 0.6703974576057198, 0.6765205933209901, 0.681845268848143, 0.6864753654496655, 0.6905050916252582 ], [ 0.5783431801308859, 0.5574499608906252, 0.5350135947195125, 0.5113879553701488, 0.48707432049285, 0.4627153156954395, 0.4390579027629825, 0.4168742300995902, 0.3968401127852733, 0.3793957495616775, 0.36464499032145387, 0.3523618852561068, 0.34213582213072763, 0.3336044924081946, 0.326655209097961, 0.32148135161841845, 0.3184636081568727, 0.31794928057818045, 0.32006012715173743, 0.32462825937654305, 0.3312634015121387, 0.3394803686864735, 0.3488188612776774, 0.35893212338174746, 0.3696448307422488, 0.38097358069191517, 0.39309648192281155, 0.40627227057723175, 0.4207340215493097, 0.43659575296920944, 0.453802057811184, 0.4721291231684402, 0.49122514539240525, 0.5106689698737058, 0.5300278577359228, 0.5489029266657246, 0.5669584524769589, 0.5839362013747588, 0.5996581660558227, 0.6140214390499132, 0.6269884360649196, 0.638574903840348, 0.6488374125823637, 0.6578614442429338, 0.665750751103486, 0.6726183467726362, 0.6785792713121876, 0.683745117166582, 0.688220194478987, 0.692099141834728 ], [ 0.5827689044265665, 0.5627987878403921, 0.5414306517623377, 0.5190199901101599, 0.4960575800628714, 0.47315784999177035, 0.45101701004259276, 0.43033288347114346, 0.41169031311364945, 0.3954389167150622, 0.3816150942154803, 0.3699647346895368, 0.3600855395374519, 0.35163813767341184, 0.344521476598753, 0.3389175532878938, 0.33518354893698354, 0.3336580821264373, 0.3344930090915131, 0.3375917902353751, 0.3426570039601829, 0.3492923382030819, 0.3571072617146046, 0.3658052962537266, 0.37525048806283645, 0.38549575409148495, 0.3967523838841194, 0.4093009051546226, 0.42337465765324883, 0.43906187411957576, 0.4562596768302734, 0.47468598693380093, 0.4939320961339955, 0.5135303090466877, 0.5330158472670994, 0.5519721963869796, 0.5700577489995406, 0.5870165337305813, 0.6026775026566505, 0.6169466585131589, 0.6297953854128289, 0.6412473445648321, 0.6513654665787706, 0.660239964687098, 0.6679778764663951, 0.6746943641526219, 0.680505820325496, 0.6855247041525971, 0.6898559529066076, 0.6935947621866801 ], [ 0.58791744946845, 0.5689703589913869, 0.5487651271549294, 0.527648740748645, 0.5060880176146233, 0.48465313845869334, 0.4639731723077701, 0.44465893414883095, 0.42720039974314183, 0.4118654174223428, 0.39864454295454044, 0.38728534398386977, 0.37742493975251906, 0.3687733840540457, 0.3612605215473365, 0.35506972719917024, 0.3505427316336021, 0.34801234080150245, 0.3476553289197183, 0.3494321094157513, 0.35311731552647874, 0.35838083109290136, 0.36488088862261114, 0.37235402017761055, 0.38069112756211243, 0.38997394886473574, 0.40044424593327904, 0.4124059556265349, 0.4260979669495178, 0.44159069457609024, 0.45874309271111186, 0.47722394711444915, 0.49657530102661573, 0.5162883178926028, 0.535869162854328, 0.554884596344694, 0.5729865625492322, 0.589919956669199, 0.6055189963466034, 0.6196969681434732, 0.6324328676255967, 0.6437572567065489, 0.6537387446093897, 0.6624718683575986, 0.6700667423507767, 0.6766405939965806, 0.6823111478544174, 0.6871917265342158, 0.6913878796451555, 0.6949953195750098 ], [ 0.5936585875596739, 0.575801493738426, 0.5568150436317936, 0.5370283074337406, 0.516872813375916, 0.4968625438894081, 0.477549314008397, 0.459451987237813, 0.4429689063078166, 0.42829839908730416, 0.4154039918454615, 0.40405569099563565, 0.39394880570205076, 0.3848583789831715, 0.37675858071468254, 0.36984686933966693, 0.3644612600323833, 0.3609366471223918, 0.35947479686809863, 0.36008348096386916, 0.3625920357159433, 0.36671560670098263, 0.3721407123000853, 0.37861932899539563, 0.38605518183049414, 0.39454793250559045, 0.40436190567728364, 0.41582023790421524, 0.42916786851294236, 0.44446284993721336, 0.46153529925038045, 0.48001600356534396, 0.4994084886129281, 0.5191714919855724, 0.5387881090513841, 0.5578116969999237, 0.5758889363248136, 0.5927653207079172, 0.608279247392141, 0.6223498708362178, 0.6349623733462159, 0.6461529609274556, 0.655994903412518, 0.6645862843759632, 0.6720397235541921, 0.6784740981331192, 0.6840081555489256, 0.6887558372012466, 0.6928230943816711, 0.6963059608280664 ], [ 0.5998548717284334, 0.5831232768614567, 0.5653760145647627, 0.5469163514402136, 0.5281321181956781, 0.5094737185277315, 0.491411571182082, 0.47437391698626724, 0.4586752868269522, 0.4444574352814006, 0.4316713216602676, 0.4201215944337268, 0.409570394156822, 0.3998647368360316, 0.39103162691370213, 0.38329426349281065, 0.37700019916046257, 0.3724970682891699, 0.3700152305161937, 0.3696043463090088, 0.37113527796698514, 0.37435115155065557, 0.37894915945604174, 0.3846808969130217, 0.39144879069521443, 0.3993570183451775, 0.40867989766807944, 0.41975003466759897, 0.4328142171401739, 0.4479209089898714, 0.4648803315416576, 0.48329780399661953, 0.5026514247657314, 0.5223788204246143, 0.5419483767614885, 0.5609052941790208, 0.5788935905247597, 0.5956600292960708, 0.611046637556753, 0.6249772427571001, 0.6374417819931624, 0.648480690444318, 0.6581706345926278, 0.6666121822532355, 0.6739195973239841, 0.6802127194704425, 0.6856107685034878, 0.6902278545450675, 0.6941699509217177, 0.6975330819522697 ], [ 0.6063692024559671, 0.5907705345753294, 0.5742527302050026, 0.557087383530929, 0.5396134198975766, 0.5222146272646976, 0.5052808445710935, 0.48915544844158826, 0.47407934561915915, 0.4601497223018557, 0.4473150026723306, 0.43541987266818144, 0.4242945904398777, 0.4138588848006116, 0.4041968417921559, 0.39556673269200576, 0.3883379756765066, 0.38288178151965047, 0.3794622152895498, 0.378168405295021, 0.3789038683542867, 0.38142731066905017, 0.38543359428136137, 0.3906614827178947, 0.39699923031086853, 0.404540843076236, 0.4135546933538312, 0.4243688277935243, 0.43722380544076334, 0.4521587801997319, 0.46897217582667344, 0.48725688218362917, 0.5064799739255236, 0.5260708943832865, 0.545493248875045, 0.5642906689356049, 0.5821081532306116, 0.598695144095444, 0.6138972111565582, 0.6276418937779134, 0.6399225092441205, 0.6507822387304847, 0.6602997326680613, 0.6685767886465539, 0.6757282462527643, 0.6818740177784367, 0.6871330596766212, 0.6916190395091513, 0.6954374380623065, 0.69868383004775 ], [ 0.6130711992892094, 0.5985894152213455, 0.5832675699734345, 0.5673419135569752, 0.551100313638266, 0.5348605838930214, 0.5189364788439883, 0.5035949857523078, 0.4890143513098938, 0.4752575613950235, 0.46227685328748264, 0.44995761549130636, 0.4381947457068757, 0.42697715984361256, 0.4164465310929567, 0.40690214802200625, 0.3987446215977634, 0.39237743157180416, 0.3881029433759641, 0.3860490302729231, 0.3861468925284611, 0.3881637875694522, 0.3917848100881442, 0.39672783932972977, 0.40285642269025185, 0.4102398761358105, 0.41912320977491613, 0.4298135543898455, 0.4425347420574187, 0.45731491908792377, 0.47394754045944115, 0.492025561328261, 0.5110194817548368, 0.5303639288670153, 0.5495282999021892, 0.5680619412227839, 0.5856151191853949, 0.6019418934963636, 0.6168916783889807, 0.6303950125720799, 0.6424473426129417, 0.6530931360828263, 0.6624115654939662, 0.6705043077473208, 0.6774855888611152, 0.6834743754369087, 0.6885885007746482, 0.6929404664755107, 0.6966346498591343, 0.699765656276938 ], [ 0.6198420431760371, 0.6064427659735004, 0.5922661607493752, 0.5775115751101431, 0.5624163000396273, 0.5472356395271133, 0.5322141940674296, 0.517552397421051, 0.5033766041847699, 0.4897242510223634, 0.47655508273551683, 0.46379300518770505, 0.4513913985933299, 0.43940213256194843, 0.4280217648643908, 0.41759260002138343, 0.40855141719927635, 0.40133879162907693, 0.3962977313811952, 0.3935943966824549, 0.3931857187798718, 0.39484554206969985, 0.39824740118012825, 0.4030849908551373, 0.40918977458694117, 0.4165935745096925, 0.42550135621037166, 0.4361830062854427, 0.44883449741684356, 0.46347003432369993, 0.47988333860363896, 0.49767834428879154, 0.5163421751857548, 0.535327238198338, 0.5541189852685952, 0.5722797963880096, 0.5894697300364127, 0.6054497194303949, 0.6200736377374118, 0.6332745687361337, 0.6450490217951043, 0.6554414012530567, 0.6645299857764158, 0.6724149782496072, 0.6792087660928454, 0.6850282973698504, 0.6899893603800978, 0.6942025058162069, 0.6977703405991161, 0.7007859330593492 ], [ 0.6265776972131024, 0.6142133260378424, 0.6011201158970484, 0.5874608034089955, 0.5734246584456723, 0.5592098983536592, 0.5450002832813087, 0.5309399277824868, 0.5171133551978484, 0.5035396043174261, 0.4901879334821281, 0.47701717681539135, 0.46403186718782435, 0.45133906325938333, 0.4391849128178301, 0.4279528036786251, 0.41811580913208396, 0.41015167170248484, 0.40444297616299163, 0.4011927072724018, 0.4003833721093967, 0.4017974477331289, 0.40509999222753373, 0.4099617104456201, 0.41617830297699543, 0.42373447527461666, 0.4327813579388608, 0.4435375698754087, 0.45616120488966827, 0.47064916241089644, 0.4867989198313422, 0.5042339012560287, 0.5224687019560392, 0.5409842671302884, 0.559291192054249, 0.5769716286530657, 0.5936998001756729, 0.6092458746941001, 0.6234690241914173, 0.6363046773795129, 0.6477495700920949, 0.6578468760521773, 0.666672693070436, 0.6743244772786725, 0.6809115945112644, 0.686547915863151, 0.6913462595714999, 0.695414427687954, 0.6988525732839284, 0.7017516435013442 ], [ 0.6331906030704203, 0.6218049869121528, 0.6097274380195905, 0.597085861132498, 0.5840255487431296, 0.5706942432410107, 0.5572237478705339, 0.543711857400728, 0.5302103907878922, 0.5167259299724726, 0.50323829561533, 0.489737219178247, 0.47627085560615656, 0.4629930046855454, 0.45019220032081786, 0.4382875607762301, 0.42778403543501314, 0.41919186564506866, 0.41292835245128473, 0.40922997281121243, 0.40810512862301557, 0.4093494102630452, 0.4126259512025314, 0.4175874070399031, 0.42399395112922533, 0.43177786805149776, 0.44102725635336415, 0.4518995145852702, 0.4645073311068103, 0.4788272392073618, 0.49466227587497597, 0.5116610158991435, 0.5293733080411865, 0.5473167946115084, 0.5650344622691398, 0.5821338844762447, 0.5983073254852672, 0.6133364496903515, 0.6270866943531037, 0.6394958622284299, 0.650560332235081, 0.6603211128917766, 0.6688510270985077, 0.6762436599674405, 0.682604280378412, 0.6880426981617018, 0.6926678853461237, 0.6965841288821556, 0.6998884643140334, 0.7026691462145844 ], [ 0.6396100748091204, 0.6291424980694498, 0.6180111707233247, 0.6063120393437814, 0.5941514064394366, 0.5816337082831077, 0.5688476527994498, 0.555854084372248, 0.5426802280367765, 0.5293251780935111, 0.5157798638727089, 0.5020609726301003, 0.4882530842436429, 0.47454817711533176, 0.4612687442403068, 0.44886170414553145, 0.4378558467412922, 0.42878531466030423, 0.4220938739261857, 0.418045989888052, 0.416675620242805, 0.417796662901257, 0.4210786305150353, 0.42616372564634397, 0.43278055349318556, 0.44080854503114997, 0.450269093319037, 0.4612534703445567, 0.4738247451491721, 0.48793689323975925, 0.5033989029289027, 0.5198872982047418, 0.5369916618745273, 0.5542715292495041, 0.5713072936389565, 0.5877361614105574, 0.6032715469779837, 0.6177085883297706, 0.6309199736174502, 0.6428460910069882, 0.6534826283029357, 0.6628677514101722, 0.6710701478715833, 0.678178604157766, 0.6842933741086773, 0.6895193434159019, 0.6939608533578175, 0.6977179776534772, 0.7008840216258752, 0.7035440143512285 ], [ 0.6457816744097528, 0.6361700389884853, 0.6259168812435538, 0.6150897802977049, 0.6037615132487387, 0.5920004483043089, 0.5798606275145699, 0.5673744467076558, 0.554551606805169, 0.5413878572835146, 0.5278854943884487, 0.5140845137810284, 0.5000992704458832, 0.4861515889580187, 0.47258889818013927, 0.4598763982227108, 0.4485563527959013, 0.43917562895080164, 0.4321938447164589, 0.42789606168263117, 0.4263401032057902, 0.4273626130542311, 0.43064787729596404, 0.43583663136379636, 0.442632946210382, 0.4508676525555083, 0.4604973125423931, 0.47154732635333496, 0.48403046797266086, 0.49787719494744787, 0.5129018614893888, 0.528809257507588, 0.545230102559821, 0.5617681011125104, 0.5780437416043029, 0.5937264734089455, 0.608553030025959, 0.6223335690190178, 0.6349489281162787, 0.6463424103226291, 0.6565088986289246, 0.6654832941084975, 0.6733295381599841, 0.6801309144160123, 0.6859819327704658, 0.6909818463451881, 0.6952297042670067, 0.6988207657541126, 0.7018440690059425, 0.7043809440556442 ], [ 0.6516658663324063, 0.6428490605964972, 0.633409488041997, 0.6233903338496345, 0.612836415720013, 0.6017869829948861, 0.5902691378632043, 0.5782943255014308, 0.5658607460772633, 0.552964182751166, 0.5396183162786904, 0.5258830963256923, 0.511896566332506, 0.49790248272186244, 0.4842641234943028, 0.4714548382057422, 0.46001903887921536, 0.450504112725135, 0.4433739114965181, 0.43892554621961355, 0.43723751352090184, 0.4381719490255227, 0.44143508778399, 0.4466753137935352, 0.45358122923388355, 0.46194311580191527, 0.4716593292459675, 0.4826941890342436, 0.49501275744363205, 0.5085224028336898, 0.5230417894519349, 0.5383024507298764, 0.5539751357820414, 0.5697074514554948, 0.5851605166356185, 0.6000370537223213, 0.6140982794732736, 0.6271703902926384, 0.6391430933367614, 0.649962982082809, 0.6596241942986479, 0.6681581746994402, 0.675623750918484, 0.6820982292206119, 0.687669850049167, 0.6924316983681885, 0.6964770126840228, 0.6998957526169023, 0.7027722458384504, 0.7051837247122756 ], [ 0.6572362270219566, 0.6491557450754094, 0.6404698488834143, 0.6312014086451389, 0.6213726640425993, 0.6110001577690788, 0.60009090801503, 0.5886418350319532, 0.5766446190224717, 0.5640977043111526, 0.5510258949883458, 0.5375059378991478, 0.5236939697815675, 0.5098482852072205, 0.49633929428086115, 0.4836386010451917, 0.47228171322717827, 0.4628047427668141, 0.4556645013517538, 0.4511613891328086, 0.4493901955959321, 0.45023927932112967, 0.45344198776785954, 0.45866252590008605, 0.4655838767479416, 0.47396625648038276, 0.48365982926478296, 0.4945760424395781, 0.506637459429147, 0.5197301478174053, 0.5336760307376723, 0.5482307628313521, 0.5631022537501295, 0.5779797905253887, 0.5925638739287906, 0.6065901240852966, 0.6198444396868908, 0.6321695124098012, 0.6434643937060435, 0.6536793210539484, 0.6628078632549008, 0.6708780075504901, 0.6779433189652473, 0.6840748702557533, 0.6893543086951687, 0.6938681931318446, 0.6977035844198932, 0.700944783862134, 0.7036710692107059, 0.7059552614080007 ] ] }, { "hoverinfo": "text", "legendgroup": "In-sample", "marker": { "color": "black", "opacity": 0.5, "symbol": 1 }, "mode": "markers", "name": "In-sample", "text": [ "0_0", "10_0", "11_0", "12_0", "13_0", "14_0", "15_0", "16_0", "17_0", "18_0", "19_0", "1_0", "20_0", "21_0", "22_0", "23_0", "2_0", "3_0", "4_0", "5_0", "6_0", "7_0", "8_0", "9_0" ], "type": "scatter", "x": [ 0.3109060823917389, 0.3489571792139717, 0.3523224181687135, 0.35031859030746015, 0.31963920591328493, 0.286134554255515, 0.23267127788594152, 0.31719479867623346, 0.3690627275474613, 0.4279902566896458, 0.43686596888711077, 0.7814682722091675, 0.49163806584699593, 0.39612807790570537, 0.4077836769973997, 0.4052108559484285, 0.5079823136329651, 0.38593631982803345, 0.8924418687820435, 0.11717308312654495, 0.3494945081917956, 0.3773133503896995, 0.42958385266030613, 0.565577012661707 ], "xaxis": "x", "y": [ 0.4074442684650421, 0.3947330501906005, 0.4348228906230964, 0.5277065462448317, 0.57505473599945, 0.6123745902320114, 0.6705822370433587, 0.7062511684759621, 0.7618817249658992, 0.8235946487314937, 0.8878698637493873, 0.18778060376644135, 0.8292623785301387, 0.8686199410621775, 0.8621399321206178, 0.8665501242754106, 0.6565420031547546, 0.3165286183357239, 0.35533764958381653, 0.6871101260185242, 0.3227716806250468, 0.28828757091209584, 0.37327631505400855, 0.37511371873557925 ], "yaxis": "y" }, { "hoverinfo": "text", "legendgroup": "In-sample", "marker": { "color": "black", "opacity": 0.5, "symbol": 1 }, "mode": "markers", "name": "In-sample", "showlegend": false, "text": [ "0_0", "10_0", "11_0", "12_0", "13_0", "14_0", "15_0", "16_0", "17_0", "18_0", "19_0", "1_0", "20_0", "21_0", "22_0", "23_0", "2_0", "3_0", "4_0", "5_0", "6_0", "7_0", "8_0", "9_0" ], "type": "scatter", "x": [ 0.3109060823917389, 0.3489571792139717, 0.3523224181687135, 0.35031859030746015, 0.31963920591328493, 0.286134554255515, 0.23267127788594152, 0.31719479867623346, 0.3690627275474613, 0.4279902566896458, 0.43686596888711077, 0.7814682722091675, 0.49163806584699593, 0.39612807790570537, 0.4077836769973997, 0.4052108559484285, 0.5079823136329651, 0.38593631982803345, 0.8924418687820435, 0.11717308312654495, 0.3494945081917956, 0.3773133503896995, 0.42958385266030613, 0.565577012661707 ], "xaxis": "x2", "y": [ 0.4074442684650421, 0.3947330501906005, 0.4348228906230964, 0.5277065462448317, 0.57505473599945, 0.6123745902320114, 0.6705822370433587, 0.7062511684759621, 0.7618817249658992, 0.8235946487314937, 0.8878698637493873, 0.18778060376644135, 0.8292623785301387, 0.8686199410621775, 0.8621399321206178, 0.8665501242754106, 0.6565420031547546, 0.3165286183357239, 0.35533764958381653, 0.6871101260185242, 0.3227716806250468, 0.28828757091209584, 0.37327631505400855, 0.37511371873557925 ], "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 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 } }, "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": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "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": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "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 }, "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 } } }, "width": 950, "xaxis": { "anchor": "y", "autorange": false, "domain": [ 0.05, 0.45 ], "exponentformat": "e", "range": [ 0.0, 1.0 ], "tickfont": { "size": 11 }, "tickmode": "auto", "title": { "text": "x1" }, "type": "linear" }, "xaxis2": { "anchor": "y2", "autorange": false, "domain": [ 0.6, 1 ], "exponentformat": "e", "range": [ 0.0, 1.0 ], "tickfont": { "size": 11 }, "tickmode": "auto", "title": { "text": "x1" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": false, "domain": [ 0, 1 ], "exponentformat": "e", "range": [ 0.0, 1.0 ], "tickfont": { "size": 11 }, "tickmode": "auto", "title": { "text": "x2" }, "type": "linear" }, "yaxis2": { "anchor": "x2", "autorange": false, "domain": [ 0, 1 ], "exponentformat": "e", "range": [ 0.0, 1.0 ], "tickfont": { "size": 11 }, "tickmode": "auto", "type": "linear" } } }, "text/html": [ "
\n", " \n", " \n", "
\n", " \n", "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "render(ax_client.get_contour_plot())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also retrieve a contour plot for the other metric, \"l2norm\" –– say, we are interested in seeing the response surface for parameters \"x3\" and \"x4\" for this one." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:31:28] ax.service.ax_client: Retrieving contour plot with parameter 'x3' on X-axis and 'x4' on Y-axis, for metric 'l2norm'. Ramaining parameters are affixed to the middle of their range.\n" ] }, { "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": [ [ 0.8630881499055904, 0.8578780121354264, 0.8531043394383515, 0.8487952240103444, 0.8449781405800292, 0.8416796904165214, 0.8389253273942214, 0.8367390684515486, 0.8351431917068242, 0.8341579265239154, 0.8338011409209134, 0.8340880328330285, 0.8350308328017257, 0.8366385265681093, 0.8389166066859783, 0.8418668625157003, 0.8454872177016802, 0.8497716233856313, 0.8547100139306272, 0.8602883298562058, 0.8664886101229597, 0.873289153036527, 0.8806647421026139, 0.888586930414087, 0.897024374828904, 0.9059432094903437, 0.915307447255241, 0.9250793973487706, 0.9352200879905339, 0.9456896837096931, 0.9564478884264977, 0.967454326957778, 0.9786688992547263, 0.9900521032830776, 1.0015653239237428, 1.0131710865564485, 1.024833275068062, 1.0365173149005424, 1.0481903224337838, 1.0598212225073278, 1.0713808362449422, 1.082841941581788, 1.0941793090268088, 1.1053697152430277, 1.1163919370128315, 1.1272267280880475, 1.1378567813188993, 1.1482666783216617, 1.1584428287909063, 1.1683734013964666 ], [ 0.8626015596746517, 0.8574061753936276, 0.8526516838728425, 0.8483665612211454, 0.844578667316616, 0.8413149842547925, 0.8386013358848934, 0.8364620907544762, 0.8349198517526653, 0.8339951368310323, 0.8337060563557618, 0.8340679938514447, 0.8350932980549568, 0.8367909952040007, 0.8391665312107078, 0.8422215536803976, 0.8459537434973108, 0.8503567048118612, 0.8554199206814458, 0.8611287793698593, 0.8674646735201204, 0.874405171288126, 0.8819242553299953, 0.8899926225671742, 0.8985780351827524, 0.9076457115338276, 0.9171587447089481, 0.927078536319138, 0.937365233698064, 0.9479781598451228, 0.9588762269872124, 0.9700183263739459, 0.9813636886950758, 0.992872211193792, 1.0045047490654548, 1.0162233700338237, 1.0279915720738593, 1.0397744651090772, 1.0515389181713402, 1.063253673998045, 1.0748894333810868, 1.0864189117993444, 1.0978168709837783, 1.1090601281003583, 1.1201275452081663, 1.1310000015718544, 1.1416603512911052, 1.1520933685654213, 1.16228568274932, 1.172225705177457 ], [ 0.8625883483262683, 0.8574184139401169, 0.8526935474726212, 0.8484425627139185, 0.8446936564900089, 0.8414741417721585, 0.8388101609655265, 0.8367263816865124, 0.8352456783507818, 0.8343888040407879, 0.8341740583689059, 0.8346169583450567, 0.835729920512372, 0.8375219637172806, 0.8399984426932456, 0.8431608230068544, 0.847006507692377, 0.8515287249695411, 0.8567164847417907, 0.8625546091415015, 0.8690238393589439, 0.8761010175972042, 0.8837593395428837, 0.8919686695639805, 0.9006959082455472, 0.9099054000720502, 0.9195593681710901, 0.9296183630315, 0.9400417128810601, 0.9507879647665604, 0.9618153071048428, 0.9730819663611586, 0.9845465723893945, 0.9961684887145288, 1.007908105577354, 1.0197270948622639, 1.0315886270881032, 1.0434575514768607, 1.0553005407498628, 1.0670862027661248, 1.078785161439081, 1.0903701095713618, 1.1018158363536357, 1.113099232301113, 1.1241992743652964, 1.1350969938727855, 1.1457754298185276, 1.1562195698885414, 1.1664162814148913, 1.1763542342822138 ], [ 0.8630562137016907, 0.8579227037838505, 0.8532381789837831, 0.8490317419909467, 0.8453318754866752, 0.8421661701157788, 0.8395610317971991, 0.8375413706817404, 0.8361302751208357, 0.8353486752135724, 0.8352150018173705, 0.835744848284873, 0.8369506435361422, 0.8388413462710429, 0.8414221710199676, 0.8446943571527159, 0.8486549917491086, 0.8532968962468115, 0.8586085849570285, 0.8645743009101692, 0.8711741312139228, 0.8783842004400928, 0.886176936851879, 0.89452140291273, 0.9033836788166317, 0.9127272859831983, 0.9225136366688971, 0.9327024960185474, 0.9432524438638208, 0.9541213251406215, 0.9652666797010572, 0.9766461443115555, 0.9882178215832076, 0.9999406123558578, 1.0117745095921578, 1.0236808531137807, 1.0356225455380954, 1.0475642305756094, 1.0594724354572833, 1.0713156797062382, 1.0830645527781977, 1.0946917632913977, 1.1061721626693455, 1.1174827460448606, 1.1286026332351256, 1.1395130325077876, 1.1501971897286523, 1.1606403253225064, 1.1708295612988713, 1.180753840402591 ], [ 0.8640110580392338, 0.85892515090127, 0.8542918817574356, 0.8501405912022115, 0.8464999941748971, 0.8433979029722274, 0.8408609288340458, 0.8389141644227024, 0.8375808506166768, 0.8368820322986095, 0.8368362092062702, 0.8374589893726543, 0.8387627541160395, 0.8407563448217119, 0.8434447827211731, 0.8468290333359045, 0.8509058270266966, 0.8556675460279209, 0.8611021863747832, 0.8671934002894965, 0.8739206210523061, 0.8812592684457223, 0.8891810289171744, 0.8976542010723337, 0.9066440943528276, 0.9161134670112088, 0.9260229888568363, 0.9363317146338991, 0.9469975551078149, 0.9579777347126688, 0.9692292266749336, 0.9807091586417218, 0.99237518383224, 1.0041858144962954, 1.0161007159597737, 1.0280809607630799, 1.0400892433768159, 1.052090056744224, 1.0640498324839596, 1.0759370470206358, 1.0877222962176933, 1.0993783412867155, 1.110880128855434, 1.1222047881066575, 1.1333316078646165, 1.1442419964158383, 1.1549194267192606, 1.1653493694962003, 1.1755192165038282, 1.1854181960956292 ], [ 0.8654568884770995, 0.8604298836912746, 0.8558588976091013, 0.8517734558737053, 0.8482024499959562, 0.8451738555660767, 0.8427144283494921, 0.8408493806177302, 0.8396020412108927, 0.8389935041454082, 0.83904227203857, 0.8397639021577221, 0.8411706644181085, 0.8432712220111199, 0.8460703463653085, 0.8495686786253418, 0.8537625495762693, 0.8586438687798675, 0.8642000915474091, 0.8704142692973391, 0.8772651850352164, 0.8847275714889131, 0.892772405274844, 0.901367266818706, 0.9104767529980208, 0.9200629278543005, 0.9300857962973638, 0.940503786370466, 0.9512742271130572, 0.9623538110366352, 0.9736990324205422, 0.9852665947966659, 0.9970137829657189, 1.0088987965940444, 1.0208810438577622, 1.0329213947523224, 1.0449823946050076, 1.0570284390550737, 1.069025912334388, 1.0809432911154082, 1.09275121651175, 1.104422537032131, 1.1159323254132942, 1.1272578723005955, 1.138378659718553, 1.1492763171877525, 1.1599345632115883, 1.1703391346874574, 1.180477706602988, 1.1903398041684232 ], [ 0.8673957357953487, 0.8624389647831592, 0.8579413111463633, 0.8539324312051095, 0.8504413356949488, 0.8474961033202053, 0.8451235715803246, 0.8433490072704672, 0.842195760251982, 0.8416849054657749, 0.8418348796899511, 0.8426611211557662, 0.8441757217290414, 0.8463871027869555, 0.8492997269812519, 0.8529138585592793, 0.85722538459526, 0.8622257081915212, 0.8679017223632948, 0.8742358699848491, 0.8812062910808411, 0.8887870542852504, 0.8969484649531152, 0.905657438699677, 0.9148779264645995, 0.9245713757846777, 0.9346972128194758, 0.94521333062793, 0.9560765709286477, 0.9672431887383688, 0.9786692915539795, 0.9903112468903248, 1.0021260538764545, 1.014071676200497, 1.0261073349921308, 1.0381937612834695, 1.0502934085431122, 1.0623706264740849, 1.0743917978326643, 1.0863254404774243, 1.098142277205485, 1.1098152761805404, 1.121319664910627, 1.1326329207993089, 1.143734741281879, 1.154606996479277, 1.1652336671697512, 1.1756007707046339, 1.1856962772923096, 1.1955100188549224 ], [ 0.8698275942840119, 0.8649523254748321, 0.8605389782747576, 0.8566172841231506, 0.8532163143966638, 0.8503641894422912, 0.8480877643483999, 0.8464122939265134, 0.8453610806244485, 0.84495511053295, 0.8452126842489578, 0.8461490510480139, 0.8477760564828971, 0.850101815002718, 0.853130420268652, 0.8568617062925239, 0.8612910721075457, 0.866409381213793, 0.8722029444492978, 0.8786535913089358, 0.8857388303418743, 0.8934320945527914, 0.9017030632619958, 0.9105180481869821, 0.9198404290105607, 0.9296311225934507, 0.9398490702232386, 0.9504517286039131, 0.961395552299021, 0.97263645764992, 0.9841302604720872, 0.9958330818800673, 1.0077017183149568, 1.0196939732513723, 1.0317689491950592, 1.0438872995160404, 1.056011440450482, 1.0681057242843754, 1.080136575318685, 1.0920725907106614, 1.1038846086850511, 1.1155457469065901, 1.1270314140005884, 1.1383192973049945, 1.1493893299445403, 1.1602236402473167, 1.1708064863917091, 1.1811241789918858, 1.1911649941175322, 1.2009190790121056 ], [ 0.8727503852757341, 0.867967725720391, 0.8636494822310514, 0.8598254049214717, 0.8565245663916957, 0.8537750663895742, 0.8516037127483536, 0.8500356811659722, 0.8490941576976987, 0.84879996934518, 0.8491712098025759, 0.8502228691879026, 0.851966478320902, 0.8544097796292623, 0.8575564378481827, 0.8614058040659176, 0.8659527461109455, 0.8711875565847536, 0.8770959469559234, 0.8836591321671653, 0.8908540054994815, 0.8986533985030469, 0.9070264162580433, 0.9159388346509556, 0.925353544154325, 0.9352310239233542, 0.9455298307295512, 0.9562070889777804, 0.9672189703340577, 0.9785211538904772, 0.9900692599940739, 1.00181925270694, 1.0137278073234637, 1.0257526405137045, 1.0378528015894297, 1.0499889241910516, 1.062123438427582, 1.074220744190264, 1.0862473469985343, 1.098171958305093, 1.1099655626632328, 1.1216014545266804, 1.1330552477027294, 1.144304860614465, 1.1553304805572893, 1.166114510073893, 1.1766414984376803, 1.186898061046638, 1.1968727893041402, 1.2065561533170506 ], [ 0.87615994637362, 0.8714807420421082, 0.867268119915825, 0.8635517917123062, 0.8603607713716503, 0.8577230755255876, 0.855665399851027, 0.8542127739853478, 0.8533881990513927, 0.8532122734265979, 0.853702814150993, 0.8548744832180454, 0.8567384297922722, 0.859301960953792, 0.8625682546343723, 0.8665361287025652, 0.8711998794117047, 0.8765492004503743, 0.8825691905889073, 0.889240453564903, 0.896539288800313, 0.9044379663947864, 0.9129050752818912, 0.9219059300861504, 0.9314030204662143, 0.9413564866348287, 0.9517246060430965, 0.9624642784137145, 0.9735314988472056, 0.9848818111376072, 0.9964707354326611, 1.0082541658771187, 1.0201887349567311, 1.0322321420647784, 1.0443434444945119, 1.0564833097286874, 1.0686142285998017, 1.0807006896285494, 1.0927093155777747, 1.104608963936321, 1.1163707936293454, 1.1279683007079588, 1.1393773260883375, 1.1505760385892843, 1.1615448965700712, 1.1722665914162096, 1.1827259759822133, 1.1929099808997758, 1.202807521418358, 1.2124093971804166 ], [ 0.8800500477420374, 0.8754847850130296, 0.8713879205007815, 0.8677890700515697, 0.8647171289229159, 0.8621999682925463, 0.8602641073282897, 0.8589343636238398, 0.8582334862450829, 0.858181777299901, 0.8587967097939475, 0.8600925514701332, 0.8620800061989332, 0.8647658860724508, 0.868152828384393, 0.8722390718463822, 0.877018305411825, 0.8824796007612625, 0.8886074358291605, 0.8953818119539076, 0.9027784618037348, 0.9107691398801395, 0.9193219829020469, 0.9284019243816155, 0.9379711465643906, 0.9479895535633254, 0.9584152515363705, 0.9692050244864956, 0.9803147970333419, 0.9917000778270899, 1.003316378923393, 1.015119607448075, 1.027066426452015, 1.0391145822410044, 1.0512231958714013, 1.0633530170477032, 1.0754666393680248, 1.0875286766925192, 1.0995059012796564, 1.111367345162243, 1.1230843669521648, 1.1346306868266736, 1.1459823928422828, 1.157117921947296, 1.1680180191386627, 1.1786656781572038, 1.1890460669674021, 1.1991464410496477, 1.20895604727103, 1.2184660208139655 ], [ 0.8844124360268066, 0.8799711470583664, 0.8759996972847428, 0.8725275489878037, 0.8695834188638509, 0.8671949708819295, 0.8653884844482537, 0.8641885008199606, 0.8636174522241633, 0.8636952798937001, 0.8644390491754907, 0.865862571895686, 0.8679760481075822, 0.8707857409626754, 0.8742936994283057, 0.8784975435917195, 0.8833903260338891, 0.8889604800315317, 0.8951918611723926, 0.902063883649683, 0.9095517466483393, 0.9176267406826211, 0.9262566193752934, 0.9354060196731891, 0.9450369131585051, 0.95510907272059, 0.9655805417481631, 0.9764080963251157, 0.9875476938725402, 0.9989549037769988, 1.0105853166608825, 1.022394929287307, 1.0343405020163805, 1.0463798856179807, 1.058472314359989, 1.0705786627452392, 1.0826616640428046, 1.0946860897464907, 1.1066188901592366, 1.1184292973219436, 1.1300888923850485, 1.1415716402081313, 1.152853894446664, 1.1639143766555407, 1.17473413302955, 1.1852964723462933, 1.1955868885124343, 1.2055929708730397, 1.2153043051557852, 1.2247123676102263 ], [ 0.8892369055618013, 0.8849290802902001, 0.8810921326011648, 0.8777553134643541, 0.8749471015268135, 0.872694892730372, 0.8710246650532764, 0.8699606214615985, 0.8695248157444161, 0.8697367677519745, 0.870613076600667, 0.8721670425354835, 0.8744083101608618, 0.8773425473963494, 0.8809711754457327, 0.8852911649160784, 0.8902949116525138, 0.895970202667232, 0.9023002777926464, 0.9092639867717427, 0.9168360351602475, 0.9249873066493212, 0.933685245239033, 0.9428942788382281, 0.9525762665406574, 0.9626909546003861, 0.9731964300688094, 0.9840495650386445, 0.995206447527984, 1.0066227967470989, 1.0182543608599957, 1.0300572948118527, 1.0419885149272359, 1.054006026307902, 1.066069218886148, 1.0781391284049373, 1.0901786595056597, 1.1021527693238997, 1.1140286113163065, 1.1257756402963002, 1.1373656807238526, 1.1487729611135202, 1.159974117980803, 1.170948173055893, 1.1816764875930776, 1.1921426975370157, 1.2023326331178068, 1.2122342261762502, 1.2218374082014463, 1.2311340017227124 ], [ 0.8945113955459177, 0.8903459029708339, 0.8866518942962229, 0.8834583515361354, 0.8807934564145452, 0.8786842772722604, 0.8771564309965663, 0.8762337231998718, 0.8759377715359664, 0.8762876189778079, 0.8772993460271168, 0.8789856930557219, 0.881355706083484, 0.8844144209807688, 0.888162601967895, 0.892596549957593, 0.8977079943793476, 0.9034840784302482, 0.9099074423061266, 0.9169564023706527, 0.9246052173247272, 0.9328244264307701, 0.941581240905319, 0.9508399685203796, 0.9605624533540303, 0.9707085168111573, 0.9812363912044254, 0.9921031418938013, 1.0032650771197102, 1.0146781457898848, 1.0262983228562859, 1.038081980279749, 1.0499862397793596, 1.0619693022756738, 1.0739907485074265, 1.0860118057550556, 1.0979955767441116, 1.1099072283356677, 1.1217141392529026, 1.1333860076201627, 1.1448949203639296, 1.156215387479391, 1.1673243447978716, 1.1782011292280028, 1.1888274305398894, 1.199187223671184, 1.209266685311516, 1.2190540982144513, 1.2285397463311765, 1.2377158034875502 ], [ 0.9002221108936842, 0.8962071320609477, 0.8926637809756917, 0.8896207133345551, 0.8871057558994537, 0.8851455913590907, 0.8837654182040944, 0.882988588974692, 0.8828362319705269, 0.8833268635339138, 0.8844760002628291, 0.8862957828437059, 0.888794625388142, 0.8919769058876184, 0.8958427142481726, 0.9003876738733222, 0.9056028505162318, 0.9114747578950886, 0.9179854634792797, 0.9251127905018584, 0.9328306047207875, 0.9411091681516959, 0.9499155383169275, 0.9592139913894745, 0.9689664509543985, 0.9791329099499447, 0.9896718399469865, 1.0005405874226845, 1.0116957597692307, 1.0230936040901477, 1.0346903799461926, 1.0464427242460206, 1.0583080036113268, 1.0702446476257428, 1.0822124557522446, 1.0941728713000276, 1.1060892172977004, 1.1179268910661206, 1.129653516302509, 1.1412390533181422, 1.1526558695583, 1.163878773618694, 1.174885016666595, 1.1856542655275715, 1.1961685517775509, 1.206412201054828, 1.216371746541888, 1.2260358302158996, 1.2353950950717625, 1.2444420711144268 ], [ 0.9063536635378389, 0.9024966382260277, 0.8991108919521055, 0.8962246972350705, 0.893865468910827, 0.8920594477546117, 0.890831359215703, 0.8902040507416176, 0.890198112959798, 0.8908314920824485, 0.8921191032370032, 0.8940724568571808, 0.8966993125552408, 0.9000033766820407, 0.9039840606101339, 0.90863631613563, 0.9139505618236916, 0.9199127093616042, 0.9265042921716424, 0.9337026903640636, 0.9414814378554653, 0.9498105908194022, 0.9586571332167816, 0.9679853959970083, 0.9777574715540185, 0.9879336127731742, 0.9984726142299043, 1.0093321794433687, 1.0204692809981533, 1.0318405195886389, 1.0434024845915915, 1.055112114250714, 1.066927049522706, 1.0788059730958843, 1.0907089243710286, 1.1025975820579241, 1.1144355079700523, 1.1261883480221493, 1.1378239888789596, 1.1493126708551946, 1.1606270593643282, 1.1717422784166796, 1.1826359104058066, 1.1932879667716696, 1.203680834175042, 1.2137992006452534, 1.223629965847621, 1.2331621392164194, 1.24238672926084, 1.2512966269074393 ], [ 0.9128892301610678, 0.9091968187291226, 0.9059748167088257, 0.9032510573676924, 0.90105248800931, 0.8994048533014913, 0.8983323539400065, 0.8978572842250216, 0.89799965396462, 0.898776802279392, 0.9002030132962382, 0.902289146240246, 0.9050422948071066, 0.9084654925480103, 0.9125574818296953, 0.9173125631802943, 0.9227205389746685, 0.9287667601466666, 0.9354322770789312, 0.9426940867886662, 0.950525459476413, 0.9588963204056109, 0.9677736598894298, 0.9771219460798248, 0.9869035220749407, 0.9970789787607752, 1.0076075048460262, 1.0184472227767651, 1.029555521807049, 1.0408893973967897, 1.0524058008063446, 1.064061996478009, 1.0758159195253822, 1.0876265225570925, 1.099454100371925, 1.1112605823377124, 1.1230097847637366, 1.134667618558119, 1.1462022503633933, 1.157584217839027, 1.168786501655258, 1.1797845580592121, 1.1905563166360882, 1.2010821482133174, 1.2113448078528355, 1.2213293576460136, 1.2310230736505448, 1.2404153408544762, 1.249497539568402, 1.2582629261653073 ], [ 0.919810721718181, 0.9162887829076681, 0.9132358378296642, 0.9106792255790337, 0.9086453720219545, 0.9071594739002831, 0.9062451586365741, 0.9059241234948278, 0.9062157596194342, 0.9071367686765633, 0.9087007822938464, 0.9109179970852839, 0.9137948404994671, 0.917333684645324, 0.9215326261035518, 0.9263853489088634, 0.9318810848019307, 0.9380046791358267, 0.9447367625967243, 0.9520540190020046, 0.9599295295368789, 0.968333166171521, 0.97723200397865, 0.9865907250906278, 0.996371995813736, 1.0065368106595445, 1.0170448090698085, 1.0278545787366524, 1.0389239615242312, 1.0502103742677502, 1.0616711493015147, 1.0732638913713526, 1.0849468410757779, 1.096679231435782, 1.1084216236941686, 1.120136210279776, 1.131787076041971, 1.1433404124558502, 1.154764682871417, 1.1660307396664422, 1.1771118962298899, 1.1879839580660483, 1.1986252180677617, 1.2090164212875862, 1.219140704469603, 1.228983515305045, 1.2385325159346146, 1.2477774747095747, 1.2567101496927717, 1.2653241668621535 ], [ 0.9270989597331968, 0.9237525444820853, 0.9208731408033769, 0.9184875403057458, 0.9166215956291102, 0.9152999064991107, 0.9145454820036014, 0.914379382800822, 0.9148203488464801, 0.9158844204484722, 0.9175845629605683, 0.9199303080639281, 0.9229274270959051, 0.9265776538643163, 0.9308784752798831, 0.9358230072900341, 0.9413999703511831, 0.9475937725991801, 0.9543847000401717, 0.9617492023637106, 0.9696602522139087, 0.9780877475523538, 0.9869989238246447, 0.9963587467384818, 1.006130267259793, 1.0162749351366158, 1.0267528813410458, 1.0375231888114844, 1.0485441723194966, 1.0597736826754347, 1.0711694407253436, 1.0826893963945814, 1.094292100339199, 1.1059370719236608, 1.1175851471066092, 1.1291987923463878, 1.1407423745605987, 1.1521823814098555, 1.1634875900091295, 1.1746291852386948, 1.1855808310310314, 1.1963186994073967, 1.2068214627660603, 1.2170702551413812, 1.2270486080099772, 1.236742365844302, 1.2461395861048332, 1.2552304277936, 1.2640070321140344, 1.2724633982291185 ], [ 0.9347338542532027, 0.9315672148201315, 0.9288650239596545, 0.9266534746273941, 0.9249577970504963, 0.9238019479787156, 0.9232082768455463, 0.9231971725789944, 0.9237866966696135, 0.9249922103177212, 0.9268260059865583, 0.9292969563413567, 0.9324101960994512, 0.9361668543451237, 0.9405638558079563, 0.9455938087675636, 0.9512449939176311, 0.9575014621844232, 0.9643432401587168, 0.971746630348735, 0.9796845818735264, 0.9881270984115443, 0.9970416473307642, 1.0063935390335343, 1.0161462583386112, 1.0262617468927995, 1.0367006517375343, 1.0474225649228193, 1.0583862796644463, 1.0695500808552663, 1.0808720755247718, 1.0923105566589875, 1.1038243850473326, 1.11537336986635, 1.1269186291001885, 1.1384229142314966, 1.1498508883546552, 1.1611693517341712, 1.1723474130925855, 1.1833566082212736, 1.1941709698081946, 1.2047670537757145, 1.2151239280959172, 1.2252231301884189, 1.2350485987764055, 1.2445865856198597, 1.2538255519656125, 1.2627560539279301, 1.2713706203916957, 1.2796636264439818 ], [ 0.9426945785267852, 0.9397111915025586, 0.9371891020528671, 0.935153856066334, 0.933630015316963, 0.93264085119468, 0.9322080162035319, 0.9323511969740289, 0.9330877543724702, 0.9344323584713237, 0.9363966286192578, 0.9389887914849484, 0.9422133724966587, 0.9460709381566812, 0.9505579077047498, 0.9556664518133542, 0.9613844926551893, 0.9676958131994265, 0.9745802739020257, 0.9820141229194599, 0.9899703736780228, 0.9984192142663612, 1.0073284102258004, 1.0166636683263428, 1.0263889435586397, 1.0364666910644655, 1.0468580827591154, 1.057523218777007, 1.068421363479344, 1.0795112259102713, 1.0907512899374838, 1.1021001852821761, 1.1135170810489232, 1.124962079489244, 1.1363965887855385, 1.1477836578385643, 1.159088261554475, 1.1702775305940585, 1.181320924185046, 1.192190348096643, 1.202860222231922, 1.2133075036642587, 1.2235116715446308, 1.233454680352911, 1.2431208876456474, 1.252496961913348, 1.2615717755120388, 1.2703362869531423, 1.2787834161729226, 1.2869079157867591 ], [ 0.9509597359395321, 0.9481623370914312, 0.9458224976710985, 0.9439650714827017, 0.9426139095289167, 0.9417915594997205, 0.9415189440517706, 0.9418150216094892, 0.9426964352034645, 0.9441771569834276, 0.9462681384559943, 0.9489769790793832, 0.9523076283618862, 0.9562601386680781, 0.9608304869683693, 0.9660104830385748, 0.9717877783212143, 0.9781459831439531, 0.9850648901087063, 0.9925207890415152, 1.0004868460748215, 1.0089335096341, 1.0178289032126715, 1.027139171607203, 1.0368287635271092, 1.0468606549799713, 1.0571965374405141, 1.0677970055510055, 1.078621777601954, 1.0896299700715828, 1.100780430611026, 1.1120321182492974, 1.1233445094033936, 1.1346780046628473, 1.1459943131145176, 1.1572567960326654, 1.1684307580148905, 1.1794836796386021, 1.190385390660403, 1.2011081864158375, 1.2116268924511822, 1.2219188837364858, 1.2319640653229569, 1.2417448212567055, 1.2512459381477954, 1.2604545091731927, 1.2693598235785555, 1.277953246012253, 1.2862280893249742, 1.294179483826668 ], [ 0.959507515448008, 0.9568981438522564, 0.9547420156614161, 0.9530632516164271, 0.9518849539242825, 0.951228912739255, 0.9511152926102484, 0.9515623025892836, 0.9525858554101903, 0.9541992231849412, 0.9564126993862245, 0.9592332793786948, 0.9626643742051916, 0.9667055743561016, 0.9713524812952079, 0.9765966238497441, 0.9824254733694389, 0.9888225651138036, 0.9957677234293222, 1.0032373757041828, 1.011204927007336, 1.0196411572949788, 1.02851460025259, 1.037791870259475, 1.0474379214306828, 1.057416245661179, 1.0676890372757613, 1.0782173626681701, 1.088961370662258, 1.0998805654628407, 1.1109341453078794, 1.122081393126866, 1.133282095012809, 1.1444969590981853, 1.1556880099777602, 1.1668189396743633, 1.1778554030456443, 1.188765251957659, 1.1995187077348357, 1.2100884751169705, 1.22044980331442, 1.2305805010017041, 1.2404609125097041, 1.2500738623286909, 1.2594045745316944, 1.2684405730321446, 1.2771715678152349, 1.2855893315062819, 1.2936875699059567, 1.3014617894593739 ], [ 0.9683158326512902, 0.9658958812563978, 0.9639242970470127, 0.9624244313567798, 0.9614186043907321, 0.960927819850246, 0.9609714608315076, 0.9615669706371831, 0.962729523768913, 0.9644716943019425, 0.9668031310470817, 0.9697302512782952, 0.9732559671403933, 0.9773794608003282, 0.9820960254316806, 0.9873969885069803, 0.9932697307873971, 0.9996978081142858, 1.0066611733678894, 1.0141364834953395, 1.0220974634832323, 1.030515289185343, 1.0393589483002557, 1.0485955466881014, 1.0581905454397749, 1.0681079378813643, 1.078310396790923, 1.0887594325501389, 1.0994155991912364, 1.1102387699348653, 1.1211884837413835, 1.1322243468774, 1.1433064629813712, 1.1543958623744204, 1.165454904606163, 1.176447634743377, 1.1873400813220674, 1.1981004906360597, 1.2086994973802148, 1.219110235428737, 1.2293083948541874, 1.239272232465194, 1.2489825434684863, 1.2584226016214435, 1.26757807465634, 1.276436920994095, 1.2849892729379713, 1.2932273107216572, 1.3011451310261841, 1.3087386128985798 ], [ 0.9773624546547068, 0.9751327243041081, 0.973345950359535, 0.9720246835422963, 0.9711904340996318, 0.970863395607503, 0.9710621514592921, 0.9718033676061185, 0.9731014766442384, 0.9749683601572382, 0.9774130382852908, 0.980441377718149, 0.9840558315040638, 0.9882552259039931, 0.9930346104910083, 0.9983851871075073, 1.0042943303363137, 1.010745706091034, 1.0177194855165013, 1.025192639308129, 1.033139284931437, 1.0415310496452848, 1.0503374099756544, 1.0595259764961833, 1.0690627112112314, 1.0789120886123604, 1.0890372322377417, 1.099400068287238, 1.1099615331004526, 1.1206818549773507, 1.1315209100981996, 1.142438634597434, 1.153395464570477, 1.1643527735531232, 1.1752732808164366, 1.1861214108240818, 1.1968635919619681, 1.2074684896104895, 1.2179071740646057, 1.2281532275741414, 1.2381827970535386, 1.24797460010698, 1.2575098922581396, 1.266772402952779, 1.2757482472470185, 1.2844258192722067, 1.2927956726958034, 1.300850392548749, 1.3085844620081253, 1.31599412702843 ], [ 0.9866251079334307, 0.9845858619629114, 0.9829836598011302, 0.9818402258633624, 0.9811762380333439, 0.9810110615335679, 0.981362466966187, 0.9822463359991752, 0.9836763595941569, 0.9856637353509767, 0.988216872451855, 0.991341114742076, 0.9950384945094148, 0.9993075312151396, 1.004143090307649, 1.0095363166623197, 1.015474654364792, 1.0219419588006011, 1.0289186980762657, 1.036382229357185, 1.0443071238216282, 1.0526655050690865, 1.0614273640845195, 1.0705608222112017, 1.0800323316742586, 1.0898068261542089, 1.0998478535749157, 1.1101177319185775, 1.1205777633529623, 1.1311885252805298, 1.1419102362624411, 1.1527031774159795, 1.1635281400779565, 1.1743468687493177, 1.1851224725230045, 1.1958197854801536, 1.2064056644791712, 1.216849219813612, 1.2271219796734691, 1.2371979930881067, 1.2470538782528506, 1.2566688241699315, 1.2660245537072463, 1.2751052557905482, 1.2838974937325833, 1.292390095834273, 1.300574033486415, 1.3084422911266613, 1.3159897316075653, 1.3232129598264502 ], [ 0.9960815694145309, 0.9942325862120904, 0.9928142710647496, 0.9918475021082003, 0.9913521081437493, 0.9913466133002946, 0.991847967388989, 0.9928712653174946, 0.9944294602383165, 0.9965330766418092, 0.9991899313447274, 1.002404872191464, 1.0061795461181997, 1.0105122097445685, 1.0153975964118909, 1.020826852973149, 1.0267875569445246, 1.0332638192227899, 1.040236469248576, 1.0476833089311328, 1.0555794108096808, 1.063897428068408, 1.0726078829273094, 1.081679408237454, 1.0910789343053218, 1.1007718343531296, 1.1107220599232355, 1.1208923048364923, 1.131244230249981, 1.1417387669496912, 1.1523364911029985, 1.1629980531687958, 1.1736846305067883, 1.184358372845541, 1.1949828141453993, 1.2055232317409628, 1.2159469415921489, 1.22622352550147, 1.236324991578273, 1.2462258729276052, 1.2559032717137266, 1.2653368567218801, 1.2745088226609294, 1.2834038190142576, 1.2920088554918947, 1.3003131902361345, 1.3083082060013285, 1.3159872786369735, 1.3233456413931155, 1.3303802478557634 ], [ 1.0057097418922205, 1.0040503632345146, 1.002814856870106, 1.002023240429916, 1.0016944825569398, 1.0018462589057842, 1.0024946953584963, 1.003654101699809, 1.0053367001845346, 1.007552354819526, 1.010308308747365, 1.013608938788429, 1.0174555378221093, 1.0218461370064171, 1.0267753804418092, 1.0322344642282086, 1.0382111493039805, 1.044689852448198, 1.0516518122325833, 1.0590753172095113, 1.06693597406338, 1.0752069868000416, 1.0838594176506877, 1.0928624084283596, 1.1021833569093689, 1.11178806201003, 1.1216408671655511, 1.1317048371118335, 1.1419419969233389, 1.1523136465527606, 1.1627807455209624, 1.173304347098224, 1.183846052944859, 1.19436845811783, 1.2048355607336803, 1.2152131177942136, 1.2254689364700928, 1.2355730970394385, 1.2454981090094062, 1.2552190055818075, 1.2647133837476572, 1.2739613982301585, 1.2829457175813046, 1.2916514502733587, 1.3000660478484005, 1.3081791912696343, 1.3159826656721636, 1.32347022780992, 1.3306374696793792, 1.3374816810861372 ], [ 1.0154877156147477, 1.01401688913062, 1.012962765232777, 1.0123444924154006, 1.0121801735057718, 1.0124866333632463, 1.0132791752854922, 1.014571329225668, 1.016374595995212, 1.0186981928683276, 1.021548807392668, 1.0249303676774393, 1.0288438388391155, 1.0332870563957455, 1.0382546078493708, 1.0437377729902986, 1.0497245310457344, 1.0561996382319432, 1.0631447724931486, 1.0705387339087649, 1.0783576811154554, 1.0865753787415966, 1.0951634311232255, 1.1040914851872496, 1.1133273995042017, 1.122837393122952, 1.1325862008826937, 1.1425372661430429, 1.15265299547414, 1.1628950854461977, 1.1732249147846083, 1.1836039813459276, 1.1939943558719663, 1.2043591236744842, 1.2146627896436153, 1.224871628890191, 1.2349539728275514, 1.2448804271783758, 1.2546240235808932, 1.264160310020388, 1.2734673873914852, 1.2825259004086196, 1.2913189911549898, 1.2998322230881048, 1.3080534825363679, 1.3159728637973034, 1.3235825429990826, 1.3308766449841893, 1.3378511066573133, 1.344503539525805 ], [ 1.0253938183935312, 1.024110133102204, 1.0232356541211673, 1.022788657444263, 1.0227863794541212, 1.0232447965004392, 1.024178394612815, 1.0255999322976412, 1.0275202003221657, 1.0299477834845676, 1.0328888305819661, 1.036346840055062, 1.0403224699815865, 1.0448133819947303, 1.0498141289948988, 1.0553160957775436, 1.0613074994593876, 1.0677734525066487, 1.0746960852730136, 1.082054717916378, 1.089826064899538, 1.0979844512202406, 1.1065020203589468, 1.1153489209214853, 1.1244934711320396, 1.1339023141736533, 1.1435405878301648, 1.153372134649441, 1.1633597725854676, 1.1734656331276918, 1.183651559009936, 1.1938795414338417, 1.204112170170415, 1.2143130693109216, 1.2244472954298222, 1.2344816814174042, 1.2443851163291553, 1.2541287579778477, 1.263686179994306, 1.2730334585348229, 1.2821492058519857, 1.2910145588489257, 1.2996131308163192, 1.307930934091325, 1.3159562806058827, 1.3236796663784811, 1.3310936450623119, 1.3381926947665852, 1.344973081555668, 1.3514327223208276 ], [ 1.0354066568687976, 1.0343083713459116, 1.0336115164518564, 1.033333497116864, 1.0334906871532574, 1.0340982207194314, 1.0351697752556013, 1.0367173486737387, 1.0387510344230628, 1.0412787990076375, 1.0443062675762973, 1.0478365242792247, 1.051869935072234, 1.0564040013581608, 1.061433253005031, 1.0669491885166904, 1.0729402680893612, 1.0793919617252363, 1.0862868495823963, 1.0936047659637376, 1.1013229731056957, 1.1094163480505579, 1.117857567149868, 1.1266172789615838, 1.1356642664635843, 1.1449656106019288, 1.1544868751371997, 1.1641923341902005, 1.1740452578995508, 1.184008260209228, 1.1940436999141633, 1.2041141156314874, 1.2141826697349323, 1.2242135758835553, 1.2341724884608358, 1.2440268382311515, 1.253746105126442, 1.2633020250879428, 1.272668732658874, 1.2818228443584154, 1.2907434898647523, 1.2994122989406298, 1.3078133521378978, 1.3159331028871815, 1.323760277835849, 1.3312857614084521, 1.338502469641882, 1.3454052174654347, 1.3519905827943517, 1.35825677010293 ], [ 1.0455051516243783, 1.0445902149165096, 1.0440686993405854, 1.0439571444262374, 1.0442710691734287, 1.0450247752492001, 1.0462311428835738, 1.04790142206834, 1.050045022392815, 1.0526693056716125, 1.0557793864043843, 1.0593779460006274, 1.063465067499255, 1.0680380980454696, 1.073091546421002, 1.0786170221708589, 1.0846032210539724, 1.0910359585157863, 1.0978982487795834, 1.1051704225760917, 1.1128302725848787, 1.1208532137937988, 1.129212447495445, 1.1378791229859444, 1.1468224992178013, 1.1560101171920114, 1.1654079995572324, 1.1749808941965594, 1.1846925729568922, 1.1945061868173055, 1.2043846678666155, 1.2142911596461057, 1.2241894527007677, 1.2340444019521521, 1.243822305862779, 1.2534912328118712, 1.2630212861751653, 1.2723848052019897, 1.2815565032900387, 1.2905135484573864, 1.299235592763702, 1.3077047583482182, 1.3159055878913257, 1.3238249669219273, 1.3314520246932635, 1.338778019498465, 1.345796213404506, 1.3525017405235715, 1.3588914721548417, 1.3649638814384084 ], [ 1.055668568700663, 1.0549346345987536, 1.054585921205886, 1.0546381119034611, 1.055105881852497, 1.0560027126307292, 1.057340700672637, 1.0591303619293722, 1.0613804357938696, 1.06409769203264, 1.067286745204817, 1.0709498817785412, 1.0750869057830168, 1.0796950092189719, 1.08476867339973, 1.0902996066847104, 1.0962767225016525, 1.1026861590549948, 1.1095113388589546, 1.116733062741472, 1.1243296301387327, 1.1322769764341893, 1.1405488196914855, 1.1491168135711198, 1.1579507095736459, 1.167018538016907, 1.1762868209001147, 1.185720829223097, 1.1952848921140338, 1.2049427566974753, 1.214657988517514, 1.2243943950413572, 1.234116450919504, 1.2437897036183478, 1.2533811410761966, 1.2628595079399767, 1.2721955624602002, 1.2813622712834647, 1.290334943600023, 1.299091309150519, 1.3076115464975224, 1.3158782688952841, 1.323876475276419, 1.3315934735460413, 1.339018782731609, 1.3461440197331815, 1.3529627755662197, 1.3594704851584187, 1.365664293997844, 1.3715429242528376 ], [ 1.0658765497443388, 1.0653209854111512, 1.0651422897766287, 1.065355302259711, 1.0659738677018131, 1.0670106620353657, 1.0684770127292371, 1.0703827162365742, 1.0727358552047501, 1.0755426187907888, 1.0788071300337243, 1.0825312848221924, 1.0867146074809244, 1.0913541282680699, 1.0964442879735223, 1.1019768741721243, 1.1079409923824526, 1.1143230733920573, 1.1211069155143534, 1.1282737579884488, 1.1358023798226213, 1.1436692179053536, 1.1518484997469296, 1.1603123897627081, 1.1690311527366004, 1.1779733424441612, 1.1871060255803145, 1.1963950498770604, 1.205805360514025, 1.2153013617929338, 1.2248473135333273, 1.2344077457171285, 1.2439478718437558, 1.253433981558601, 1.2628337958551539, 1.2721167725341966, 1.2812543545769912, 1.2902201588021205, 1.2989901060892968, 1.307542497333253, 1.3158580411331007, 1.3239198401621601, 1.3317133433979031, 1.3392262711297958, 1.3464485190855868, 1.353372047272133, 1.35999075832141, 1.366300369338619, 1.3722982805117665, 1.377983443083772 ], [ 1.0761091426038667, 1.0757290328143618, 1.0757173233569863, 1.07608802417367, 1.0768541652221995, 1.0780276326770957, 1.0796190007515953, 1.0816373611742383, 1.0840901528033215, 1.0869829943460148, 1.0903195236439354, 1.094101247453001, 1.098327406016685, 1.1029948569147772, 1.1080979825505772, 1.1136286250991352, 1.1195760517006255, 1.125926951160821, 1.132665461588458, 1.1397732266214964, 1.1472294766928137, 1.1550111317048433, 1.1630929228604396, 1.1714475341121555, 1.1800457670330515, 1.1888567356872528, 1.1978480990116638, 1.2069863364908013, 1.216237068557177, 1.2255654171440988, 1.2349363956811936, 1.2443153130673068, 1.2536681737761626, 1.2629620564983328, 1.2721654561925548, 1.2812485783157888, 1.2901835784517177, 1.2989447448263773, 1.3075086248019443, 1.3158540991430785, 1.3239624096239149, 1.3318171464908046, 1.339404202581771, 1.3467117007109264, 1.3537299004216476, 1.3604510895335022, 1.3668694651572573, 1.3729810081012581, 1.378783353886753, 1.3842756629538013 ], [ 1.0863468336782176, 1.0861389820717957, 1.0862909769296591, 1.0868160149241117, 1.0877263279271014, 1.0890330291809636, 1.0907459558109076, 1.0928735095248123, 1.0954224977212081, 1.0983979776237103, 1.1018031064602003, 1.1056390010736579, 1.1099046106354256, 1.1145966062606352, 1.1197092912143356, 1.1252345349688804, 1.1311617335859772, 1.137477797788012, 1.1441671688043225, 1.1512118609126314, 1.1585915289131112, 1.166283558924615, 1.1742631820434009, 1.1825036123750814, 1.1909762131505781, 1.1996506961856768, 1.20849535995874, 1.2174773695584626, 1.2265630778262377, 1.2357183819758941, 1.2449091049924454, 1.2541013873420732, 1.2632620727291568, 1.2723590720098412, 1.2813616916023192, 1.2902409161885913, 1.2989696394628996, 1.3075228405257717, 1.3158777068154701, 1.3240137069888611, 1.3319126188615975, 1.3395585184650982, 1.346937736612002, 1.3540387892395778, 1.360852287372269, 1.3673708319360383, 1.3735888979672233, 1.3795027120552068, 1.385110126188986, 1.3904104905677896 ], [ 1.096570582803287, 1.096531511570239, 1.096843673901422, 1.097519470632471, 1.0985703532514615, 1.1000066794404473, 1.1018375655667771, 1.1040707377902694, 1.1067123837636839, 1.109767007229261, 1.113237288137272, 1.117123951205536, 1.121425646061299, 1.1261388422059082, 1.1312577419610976, 1.1367742142433892, 1.1426777514554114, 1.1489554510230764, 1.1555920222709086, 1.162569818622005, 1.1698688947819975, 1.1774670888246868, 1.185340129991107, 1.1934617743433449, 1.2018039717089846, 1.2103370679745487, 1.2190300461530699, 1.227850807478448, 1.2367664902568747, 1.2457438199775308, 1.2547494801560841, 1.2637504904250279, 1.2727145770675372, 1.281610521664689, 1.2904084755434648, 1.2990802307706015, 1.3075994419500772, 1.3159417965243478, 1.3240851342734241, 1.3320095190402328, 1.3396972673261276, 1.3471329393413087, 1.3543032984721175, 1.36119724507353, 1.3678057301432285, 1.3741216538990495, 1.3801397536547684, 1.3858564847387749, 1.3912698975705933, 1.3963795134300099 ], [ 1.1067618609559757, 1.10688781030349, 1.107356343575722, 1.1081790840295496, 1.1093667210265978, 1.1109288743343853, 1.1128739558874574, 1.115209030507276, 1.1179396773373584, 1.1210698540178716, 1.1246017658864798, 1.1285357427299552, 1.1328701257931322, 1.1376011678415265, 1.142722949032713, 1.1482273111521, 1.1541038124086322, 1.16033970450886, 1.1669199332280307, 1.1738271633185233, 1.1810418284919117, 1.1885422074855254, 1.1963045278591065, 1.2043030999656041, 1.2125104841386656, 1.2208976940920864, 1.22943443846259, 1.2380894002191916, 1.2468305505213884, 1.2556254900630794, 1.2644418076855783, 1.2732474437361034, 1.2820110447131305, 1.2907022962843044, 1.2992922235877273, 1.3077534504317927, 1.3160604121157304, 1.324189519665035, 1.3321192759843132, 1.339830346581549, 1.3473055890447998, 1.3545300463792922, 1.3614909097261525, 1.3681774559943936, 1.3745809656607682, 1.3806946255310097, 1.3865134206955827, 1.3920340193173566, 1.3972546533025354, 1.4021749973586117 ], [ 1.1169026906058823, 1.1171896191931467, 1.1178104638198083, 1.1187760889472895, 1.1200964403841522, 1.1217804177455097, 1.1238357448013876, 1.1262688390603455, 1.1290846821500675, 1.1322866927781037, 1.135876604273776, 1.1398543489115422, 1.144217951374596, 1.148963433811227, 1.1540847349412908, 1.1595736455712018, 1.1654197626791587, 1.1716104639722122, 1.1781309045619135, 1.1849640372441688, 1.1920906578875499, 1.1994894776676666, 1.2071372242764191, 1.2150087746090374, 1.2230773215145547, 1.231314576685195, 1.2396910104384393, 1.248176126984092, 1.256738770984062, 1.2653474582382203, 1.2739707207015032, 1.2825774542477228, 1.2911372569583985, 1.299620746301486, 1.307999845214702, 1.316248029497893, 1.3243405316627004, 1.3322544991204437, 1.339969107030168, 1.3474656281023334, 1.354727463088652, 1.3617401365946502, 1.368491263292764, 1.3749704896824155, 1.3811694163371437, 1.3870815051903373, 1.39270197591709, 1.3980276949306252, 1.4030570599713759, 1.4077898827543094 ], [ 1.1269756881721646, 1.1274192754928816, 1.128188107908565, 1.1292923101910646, 1.1307411033466148, 1.1325426846597857, 1.1347041059908698, 1.1372311515383848, 1.1401282164600213, 1.1433981879321584, 1.1470423304139332, 1.1510601770556075, 1.1554494293384443, 1.1602058671391227, 1.1653232714606128, 1.170793362057711, 1.1766057521154045, 1.182747922037007, 1.1892052143095129, 1.1959608513854871, 1.2029959785894673, 1.2102897342164223, 1.2178193491668792, 1.2255602785096404, 1.23348636707892, 1.2415700504030518, 1.2497825908116953, 1.2580943465114687, 1.2664750689651745, 1.2748942214123071, 1.2833213092425202, 1.291726211549932, 1.30007950278382, 1.3083527540153417, 1.3165188048276184, 1.3245519989466086, 1.3324283791494822, 1.3401258394126951, 1.3476242344549292, 1.3549054486326688, 1.3619534274880805, 1.3687541761272854, 1.3752957290682701, 1.38156809631733, 1.3875631902919843, 1.3932747378891601, 1.3986981815684862, 1.4038305728391136, 1.40867046104459, 1.4132177798653038 ], [ 1.1369641077620707, 1.1375597592109865, 1.1384719941862165, 1.1397102170818432, 1.1412829429767497, 1.1431976847300935, 1.1454608386467244, 1.14807756980825, 1.1510516983210863, 1.154385587894702, 1.1580800383267447, 1.1621341836303236, 1.1665453976827123, 1.1713092093952422, 1.1764192294922244, 1.181867091039096, 1.1876424058826482, 1.1937327391728207, 1.2001236041494354, 1.206798479417671, 1.2137388510076768, 1.2209242815859718, 1.2283325091837696, 1.2359395776108657, 1.243720000191889, 1.2516469574766762, 1.2596925280913502, 1.2678279499814278, 1.276023907145823, 1.2842508348614525, 1.2924792346756901, 1.3006799893746408, 1.3088246678892799, 1.3168858107018004, 1.3248371876516354, 1.3326540219016176, 1.340313175954871, 1.3477932977621523, 1.355074926923648, 1.3621405626300065, 1.368974696236268, 1.3755638122067353, 1.3818963616434388, 1.3879627127722776, 1.3937550826798926, 1.3992674543397468, 1.4044954826003337, 1.4094363923826843, 1.414088871888958, 1.4184529631864407 ], [ 1.1468518851827272, 1.1475947402918096, 1.1486455369896442, 1.1500129787644515, 1.1517048937799372, 1.1537281285386916, 1.1560884403988396, 1.1587903899419827, 1.1618372343271626, 1.165230822909607, 1.168971496551902, 1.173057992204719, 1.1774873544794107, 1.1822548560686983, 1.1873539289904542, 1.1927761087299753, 1.1985109934400249, 1.2045462204315835, 1.210867462257372, 1.2174584447550105, 1.2243009894622165, 1.2313750828011159, 1.238658974283239, 1.2461293056181875, 1.2537612719223967, 1.2615288151551072, 1.2694048484539304, 1.277361508289043, 1.2853704294772705, 1.2934030363324527, 1.3014308418288347, 1.3094257458290597, 1.3173603233010966, 1.3252080940294348, 1.332943766522445, 1.340543450456682, 1.3479848338723823, 1.3552473232348499, 1.3623121462318604, 1.3691624186661404, 1.375783177958167, 1.3821613865817421, 1.3882859092338817, 1.3941474677371966, 1.3997385776440803, 1.4050534703171338, 1.410088003953993, 1.4148395666542006, 1.4193069742271816, 1.4234903650418986 ], [ 1.156623681124596, 1.157508625212877, 1.1586928972106256, 1.16018451933944, 1.1619906520554024, 1.164117493850721, 1.1665701801707722, 1.1693526823645446, 1.1724677077095516, 1.1759166016837843, 1.1796992537966318, 1.1838140084352315, 1.188257582329377, 1.1930249903830612, 1.198109481760202, 1.2035024882425995, 1.2091935869985517, 1.2151704800081073, 1.22141899248106, 1.2279230926641271, 1.2346649354383765, 1.241624932013037, 1.2487818477678578, 1.2561129298137161, 1.2635940650696698, 1.2711999685661193, 1.2789044003019907, 1.286680407400744, 1.2945005866796935, 1.3023373612628255, 1.3101632637273806, 1.3179512176374941, 1.325674809273358, 1.3333085419152522, 1.340828066107066, 1.3482103807656511, 1.3554340016468354, 1.3624790953573673, 1.369327578667355, 1.3759631842243347, 1.3823714948366812, 1.3885399492597363, 1.39445782289575, 1.4001161870422836, 1.4055078503400913, 1.410627285930111, 1.4154705475786047, 1.4200351777108433, 1.4243201099414367, 1.4283255683298854 ], [ 1.1662649224045745, 1.1672866016672128, 1.168599030919313, 1.170209570964679, 1.1721247340381242, 1.174350089369904, 1.1768901681161656, 1.179748368509138, 1.1829268621942748, 1.1864265028443293, 1.1902467382732476, 1.1943855274135748, 1.1988392636688605, 1.2036027063033201, 1.2086689216817388, 1.2140292363182663, 1.2196732038288116, 1.2255885879993134, 1.2317613642703296, 1.2381757419767738, 1.2448142096404406, 1.2516576054512774, 1.2586852147416046, 1.2658748957070236, 1.2732032338226524, 1.2806457243402063, 1.2881769809677521, 1.2957709674210072, 1.3034012471254985, 1.311041245101039, 1.3186645151293441, 1.3262450048134182, 1.3337573111490637, 1.34117691974063, 1.3484804217392587, 1.3556457038460508, 1.3626521081650786, 1.3694805601707514, 1.3761136644468916, 1.382535769069413, 1.388733000484226, 1.3946932714537876, 1.4004062651162803, 1.4058633984445654, 1.4110577684463683, 1.4159840843532134, 1.4206385888458293, 1.4250189710938075, 1.4291242740796668, 1.432954798355753 ], [ 1.1757618402144847, 1.176914680090816, 1.1783497346037861, 1.1800737232584748, 1.1820925299241278, 1.1844111138379005, 1.1870334202200732, 1.1899622913040964, 1.1931993786911141, 1.196745058055184, 1.200598347352835, 1.2047568298283868, 1.209216583252537, 1.2139721169833604, 1.2190163185923255, 1.2243404119462293, 1.229933928771977, 1.235784695842737, 1.2418788399953637, 1.248200813196859, 1.2547334397926004, 1.2614579878543344, 1.268354266163664, 1.2754007477825606, 1.2825747203611404, 1.2898524623229528, 1.2972094428964018, 1.304620542711196, 1.3120602904647911, 1.3195031101155337, 1.3269235722977717, 1.334296643274247, 1.3415979247886318, 1.3488038786513485, 1.355892030727546, 1.3628411501030677, 1.3696314004678676, 1.3762444620578314, 1.3826636237336523, 1.3888738458674632, 1.3948617956044622, 1.400615856743462, 1.4061261169383021, 1.4113843351786195, 1.4163838925934544, 1.4211197295689173, 1.425588272016194, 1.4297873494023052, 1.4337161068896844, 1.437374913646353 ], [ 1.1851015044318995, 1.1863797309437303, 1.1879316857751996, 1.1897634675863578, 1.1918803521893682, 1.1942867087150564, 1.196985915635179, 1.1999802774049069, 1.2032709425903363, 1.2068578244575776, 1.2107395251222817, 1.2149132644917, 1.219374815373511, 1.2241184462731052, 1.2291368735496084, 1.2344212247426158, 1.2399610150066502, 1.2457441386856773, 1.251756878106223, 1.2579839316432628, 1.264408462988947, 1.2710121733010953, 1.2777753974966808, 1.2846772253651482, 1.291695647402142, 1.298807724325606, 1.305989778180472, 1.3132176018415322, 1.3204666826825548, 1.3277124352995182, 1.3349304375523943, 1.3420966638965148, 1.3491877100443217, 1.3561810034254487, 1.3630549946488044, 1.3697893261382585, 1.3763649752175635, 1.3827643700651038, 1.3889714780550775, 1.3949718669821203, 1.4007527404833477, 1.4063029496028845, 1.4116129828851272, 1.4166749376473322, 1.4214824751912085, 1.4260307626960518, 1.4303164044215924, 1.4343373646657769, 1.4380928846959344, 1.441583395622274 ], [ 1.1942718531980292, 1.1956695168401643, 1.1973324779213244, 1.1992662351016927, 1.201475476963065, 1.2039640031022356, 1.2067346453250447, 1.2097891896751882, 1.2131283001276996, 1.2167514448835692, 1.2206568263189252, 1.2248413157696731, 1.2293003944671768, 1.2340281020801325, 1.2390169944556442, 1.2442581122805008, 1.2497409624916085, 1.2554535143364556, 1.2613822120040439, 1.2675120056900786, 1.2738264028054027, 1.2803075407573894, 1.2869362823109236, 1.2936923339571347, 1.3005543869872118, 1.3075002801099653, 1.3145071815104397, 1.3215517872908136, 1.3286105323442252, 1.3356598089740885, 1.3426761880602869, 1.3496366373478266, 1.3565187315156653, 1.3633008490681007, 1.3699623517369826, 1.3764837429274777, 1.3828468027044665, 1.3890346978208652, 1.3950320662595237, 1.400825076637203, 1.4064014635617563, 1.4117505406183977, 1.4168631930831048, 1.4217318527272216, 1.426350457205306, 1.430714396530206, 1.4348204490600422, 1.4386667092762202, 1.4422525094405199, 1.4455783370033215 ], [ 1.2032617171375874, 1.20477271883057, 1.2065406490420834, 1.208570427710224, 1.2108661775718086, 1.2134311499802928, 1.2162676510696029, 1.2193769689740286, 1.2227593029057546, 1.2264136949926139, 1.230337965889706, 1.234528655297885, 1.2389809686476039, 1.2436887313343812, 1.2486443520151296, 1.2538387965853313, 1.2592615745427966, 1.2649007394915077, 1.2707429055304682, 1.2767732811889536, 1.2829757223906297, 1.2893328056354623, 1.2958259221672468, 1.3024353933406727, 1.3091406067239886, 1.3159201716973108, 1.3227520924744378, 1.3296139556470767, 1.3364831285913417, 1.3433369644577187, 1.3501530090476506, 1.3569092047055038, 1.3635840864437065, 1.370156965862299, 1.3766080989903007, 1.3829188349116235, 1.389071742879607, 1.3950507165043646, 1.4008410544538283, 1.4064295178929047, 1.4118043655568568, 1.416955367895224, 1.4218738021224941, 1.4265524302759243, 1.4309854625217755, 1.4351685079873135, 1.439098515346567, 1.4427737052750893, 1.4461934967309962, 1.4493584288340864 ], [ 1.2120608377744644, 1.2136789563512642, 1.2155457032514778, 1.2176654414216448, 1.220041749709778, 1.2226773532317956, 1.2255740543278997, 1.2287326647994266, 1.2321529402030866, 1.2358335170752333, 1.2397718540619085, 1.24396417804093, 1.2484054364361543, 1.2530892570374346, 1.2580079167460627, 1.2631523207556765, 1.268511993741729, 1.2740750846555204, 1.2798283866848985, 1.2857573738380286, 1.2918462554108796, 1.2980780493011395, 1.3044346747215532, 1.3108970643448021, 1.3174452952918327, 1.3240587376806854, 1.3307162187227826, 1.3373961996379669, 1.3440769620145219, 1.3507367997228634, 1.35735421214953, 1.3639080943848103, 1.3703779200877806, 1.3767439130585581, 1.3829872040422968, 1.38908996992959, 1.395035553250789, 1.4008085606323422, 1.4063949396388347, 1.4117820341220209, 1.4169586188050998, 1.4219149143261725, 1.42664258434157, 1.4311347165482105, 1.4353857896336275, 1.439391628217116, 1.4431493478217026, 1.4466572918324656, 1.4499149622683614, 1.4529229460374533 ], [ 1.2206598798739297, 1.2223788005632734, 1.2243381251679124, 1.2265416818231352, 1.2289925279981613, 1.2316928852545341, 1.2346440748349374, 1.2378464547553205, 1.2412993591550396, 1.2450010407484826, 1.248948617316689, 1.2531380232772173, 1.2575639674717347, 1.262219898408232, 1.267097978282913, 1.2721890671759617, 1.27748271885637, 1.2829671896298998, 1.288629461609839, 1.2944552816660564, 1.3004292171033658, 1.3065347288244595, 1.3127542623416284, 1.3190693565186085, 1.3254607693617562, 1.331908619563529, 1.3383925418634202, 1.3448918536767716, 1.3513857298949328, 1.3578533823281254, 1.3642742399827803, 1.3706281262643372, 1.3768954292856526, 1.3830572617325914, 1.3890956071706144, 1.394993450232538, 1.4007348887660174, 1.4063052266928322, 1.4116910469977821, 1.4168802648850274, 1.421862161686141, 1.4266274005575923, 1.431168025357757, 1.4354774443434997, 1.4395504004806856, 1.4433829302319579, 1.4469723126825702, 1.4503170108057715, 1.4534166065666714, 1.456271731432307 ] ], "zauto": true, "zmax": 1.456271731432307, "zmin": -1.456271731432307 }, { "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": [ [ 0.12490451415171447, 0.12203780356230785, 0.11920983841677867, 0.11643256970456418, 0.1137185393798467, 0.1110808127857226, 0.10853288740578783, 0.10608857432937656, 0.10376184926803332, 0.10156667097896532, 0.09951676668378182, 0.09762538660877054, 0.09590503309329114, 0.09436717361691084, 0.09302195116546894, 0.09187790895401247, 0.09094174886599861, 0.09021814327588376, 0.08970961764068908, 0.08941651625888805, 0.08933705636089033, 0.08946746722957816, 0.08980220272455289, 0.09033420880134381, 0.0910552234556613, 0.09195608548754064, 0.09302703042950106, 0.0942579562401798, 0.09563864695181433, 0.0971589483572063, 0.09880889517938916, 0.10057879342094674, 0.10245926448343833, 0.1044412591856816, 0.10651605017830573, 0.10867521073185964, 0.11091058677174565, 0.11321426762488117, 0.11557855945673158, 0.11799596397665853, 0.12045916377681068, 0.1229610146959365, 0.12549454487563283, 0.1280529596868509, 0.1306296514169305, 0.13321821248276955, 0.13581245093359734, 0.13840640709013835, 0.14099437030393538, 0.14357089498586106 ], [ 0.1230017690556273, 0.12007708027920196, 0.11719202205905596, 0.1143587198132652, 0.11158987973648997, 0.10889871855566191, 0.10629886992683893, 0.10380426397445916, 0.10142897690326794, 0.09918704860102047, 0.09709226785133028, 0.0951579272919699, 0.09339655357233871, 0.09181962209332538, 0.09043726983316006, 0.08925802342072181, 0.08828856199822986, 0.08753353470199476, 0.08699545019409559, 0.08667465047266304, 0.08656937365877845, 0.08667590168265572, 0.0869887802297843, 0.08750109144151164, 0.08820475581986925, 0.08909083906302936, 0.09014984195832854, 0.09137195621933607, 0.09274727519896654, 0.09426595464647126, 0.09591832420909885, 0.09769495463777123, 0.09958668840659038, 0.10158464274514242, 0.10368019414476197, 0.10586495256294198, 0.1081307321564794, 0.11046952372953163, 0.11287347242735021, 0.11533486270616634, 0.11784611136109094, 0.12039976843647605, 0.1229885251740977, 0.12560522774388974, 0.12824289530493946, 0.13089474091150038, 0.13355419386221137, 0.13621492224861556, 0.1388708546573601, 0.14151620019331068 ], [ 0.12113953143161782, 0.11815929727890916, 0.1152197488247876, 0.11233318187619785, 0.1095124560735658, 0.10677092051722442, 0.10412231640578536, 0.10158065343703936, 0.09916005716040187, 0.096874585450604, 0.09473801394907022, 0.0927635927950472, 0.09096378023410771, 0.08934996255942591, 0.08793217389154108, 0.08671883287775452, 0.0857165156682568, 0.08492978467494307, 0.08436109004669967, 0.08401075538537464, 0.08387705149694173, 0.08395635305318307, 0.08424336444732122, 0.08473139438893706, 0.0854126550357381, 0.08627856117147326, 0.08732000784658561, 0.08852761015130406, 0.08989189523557943, 0.09140344317246334, 0.0930529788616139, 0.09483142132265264, 0.09672989923317755, 0.09873974251820569, 0.10085245948446973, 0.10305970779080673, 0.1053532658361549, 0.10772500925974782, 0.1101668954348631, 0.1126709572624527, 0.11522930632017186, 0.11783414451903858, 0.12047778284330456, 0.1231526654514802, 0.1258513973383243, 0.12856677383808657, 0.1312918104330833, 0.1340197715729736, 0.13674419747340427, 0.13945892812279348 ], [ 0.11931964546046418, 0.11628626795657943, 0.11329480621083102, 0.11035772594625456, 0.10748803324374677, 0.10469919437496723, 0.10200503301388529, 0.09941960196887009, 0.0969570270670245, 0.0946313218311131, 0.09245617326020918, 0.09044470145118755, 0.08860919896327664, 0.08696085954043094, 0.08550950964840133, 0.08426335960509154, 0.08322879307452422, 0.0824102135520176, 0.0818099636290266, 0.08142832721390106, 0.08126361706008348, 0.08131234108503937, 0.08156943259099772, 0.08202852314530608, 0.08268223364569495, 0.08352245939055675, 0.0845406284536648, 0.08572791839778489, 0.0870754231345744, 0.08857426835787217, 0.09021567951781352, 0.09199101022132672, 0.09389174108317105, 0.09590945956188349, 0.09803583054317819, 0.10026256580849958, 0.10258139846972235, 0.10498406631661804, 0.10746230606969229, 0.11000785891521668, 0.11261248649052401, 0.11526799568678292, 0.11796627019871722, 0.12069930660702095, 0.1234592528526186, 0.12623844717941612, 0.12902945592136214, 0.1318251088417048, 0.1346185310621465, 0.13740317092431414 ], [ 0.11754376588095748, 0.11445956552356107, 0.11141868424752079, 0.10843376086515899, 0.1055179450105523, 0.102684809355715, 0.09994823949959815, 0.09732229920732749, 0.09482106927019779, 0.09245845934063895, 0.09024799379243455, 0.08820257503464751, 0.08633423073045517, 0.08465385483383799, 0.08317095583951582, 0.08189342851416233, 0.08082736687216192, 0.07997693553636268, 0.07934431339849206, 0.07892971766513453, 0.07873150856257222, 0.07874636637114527, 0.07896952458888513, 0.07939503734895596, 0.08001605675000163, 0.08082509680956877, 0.08181426488307182, 0.08297544760260582, 0.08430044541937139, 0.08578105647471118, 0.08740911586570752, 0.08917649990721276, 0.09107510662206872, 0.09309682363261666, 0.09523349329317989, 0.09747688278312149, 0.09981866443776626, 0.10225040920739857, 0.10476359406363037, 0.1073496225611118, 0.10999985665366212, 0.11270565722680785, 0.11545843056755944, 0.11824967805123122, 0.12107104658737042, 0.12391437774664564, 0.1267717539193574, 0.1296355402843082, 0.13249842176162094, 0.13535343446646492 ], [ 0.11581341956828013, 0.11268058844164647, 0.10959264416065295, 0.10656240532761317, 0.10360316649084243, 0.10072860081964555, 0.09795264060109501, 0.09528933391220869, 0.092752676578295, 0.09035641974563062, 0.0881138551622144, 0.08603758260449361, 0.08413926673501347, 0.08242939379256017, 0.08091704147997618, 0.07960967762493466, 0.07851300394973829, 0.07763085996558244, 0.07696519824826441, 0.07651613627540797, 0.07628208230641605, 0.07625992467072908, 0.0764452667581326, 0.07683268532284823, 0.07741598828993816, 0.07818845025678667, 0.07914300877070266, 0.08027241116736634, 0.08156930898428563, 0.08302630351783408, 0.08463595109120227, 0.08639073959221523, 0.08828304879403005, 0.09030510618693738, 0.09244894802177908, 0.09470639255422823, 0.09706902959945575, 0.09952822785984226, 0.10207515933224348, 0.10470083855430332, 0.10739617351531669, 0.11015202466183913, 0.11295926845478126, 0.11580886225442737, 0.11869190780291466, 0.12159971114204561, 0.12452383737521196, 0.12745615920810804, 0.1303888986571818, 0.13331466168684866 ], [ 0.11413008098125957, 0.11095064258291533, 0.10781780695919652, 0.10474458241046765, 0.10174441392409087, 0.09883107435102553, 0.09601853333454313, 0.09332080315178928, 0.09075176161838296, 0.08832495362649516, 0.08605337477851839, 0.08394924291514805, 0.08202376598466825, 0.08028691738253567, 0.07874723217338798, 0.0774116389316731, 0.07628534170860803, 0.0753717643768007, 0.07467256514678557, 0.07418772267601735, 0.07391568769483764, 0.07385358665823182, 0.07399745795301951, 0.07434249781663316, 0.07488329302596176, 0.07561402058654075, 0.0765286004282769, 0.07762079436062438, 0.07888425194978715, 0.08031251036775183, 0.08189895978780272, 0.08363678817649682, 0.08551891941440612, 0.08753795696931396, 0.08968614244859383, 0.09195533492488028, 0.09433701354012212, 0.09682230297537142, 0.09940201917402539, 0.10206673130229472, 0.1048068352691006, 0.10761263407299736, 0.11047442062540522, 0.11338255934796429, 0.11632756361231472, 0.11930016687336327, 0.12229138606925567, 0.12529257648178163, 0.1282954777537116, 0.13129225114529197 ], [ 0.11249525895872267, 0.10927103756773318, 0.10609525943474177, 0.10298113516088009, 0.09994226955832436, 0.09699253941511586, 0.09414594865298759, 0.09141646096094769, 0.08881781128309522, 0.08636329924023585, 0.08406556965083957, 0.08193638768508173, 0.07998641862282868, 0.07822502435309416, 0.07666009019640287, 0.07529789584389658, 0.07414304272810372, 0.07319844670144532, 0.07246539956611643, 0.07194369626676876, 0.07163181733555975, 0.07152714965284251, 0.07162622396584528, 0.07192494583261083, 0.07241879815519661, 0.0731029980270579, 0.07397259744704576, 0.07502252534702103, 0.07624757601283122, 0.07764235517238595, 0.07920119897416966, 0.08091808246458387, 0.08278653315436345, 0.08479956238078498, 0.08694962317320207, 0.08922859899693225, 0.09162782375179895, 0.09413813019607269, 0.09674992177837119, 0.0994532617032239, 0.10223797279334168, 0.10509374212268885, 0.10801022523778357, 0.11097714584113978, 0.11398438790839063, 0.11702207823164978, 0.12008065825860234, 0.1231509448019013, 0.12622417972689243, 0.1292920691043067 ], [ 0.11091059124472802, 0.10764319342899113, 0.10442617352484883, 0.10127295904822241, 0.09819732737187647, 0.0952132682899257, 0.09233482326186634, 0.08957590243363689, 0.08695008221255782, 0.0844703882400275, 0.08214907096454051, 0.07999738346849534, 0.0780253734290756, 0.07624170267406817, 0.07465350824792993, 0.07326631778414357, 0.07208402899369377, 0.071108958214531, 0.07034195658293231, 0.06978258522863375, 0.06942933399962674, 0.0692798627387367, 0.0693312410862632, 0.06958016284163163, 0.07002311423622139, 0.07065648163117666, 0.07147659222866802, 0.07247969010196624, 0.07366185783901198, 0.07501890015451781, 0.07654620915392372, 0.07823863126295516, 0.08009035345257742, 0.08209482201169896, 0.08424470170767774, 0.08653187769865908, 0.08894749781446701, 0.09148204930517917, 0.0941254620529624, 0.09686722947060736, 0.09969653860981535, 0.1026024020359087, 0.10557378545877412, 0.10859972666401933, 0.11166944276423303, 0.11477242406823794, 0.11789851389320774, 0.12103797441495555, 0.12418153918980908, 0.12732045332555847 ], [ 0.10937794208104536, 0.10606875248950541, 0.1028119334796986, 0.09962114528622383, 0.09651035323100116, 0.09349367350534903, 0.09058519450785972, 0.08779877591470249, 0.08514782980041323, 0.08264509065030984, 0.08030238382426368, 0.07813040462829274, 0.07613852218104128, 0.07433462319971221, 0.07272501015751635, 0.07131436560632785, 0.07010578972128069, 0.06910091160337542, 0.06830006727611411, 0.06770252965960204, 0.06730676926938457, 0.06711072005452823, 0.06711202345999553, 0.06730822584397793, 0.06769690968037934, 0.0682757469180769, 0.0690424724097153, 0.06999478511738925, 0.07113019339996758, 0.07244582679330357, 0.07393823944092658, 0.0756032294695356, 0.0774356945503964, 0.07942953761254214, 0.08157762943739863, 0.08387182791607566, 0.0863030480670391, 0.08886137305024286, 0.09153619449410769, 0.09431637024578945, 0.09719038872720646, 0.10014653092997293, 0.10317302325688349, 0.10625817656827251, 0.10939050869466636, 0.11255884922196373, 0.11575242651588363, 0.11896093775759532, 0.1221746032694909, 0.12538420668528216 ], [ 0.10789949731248502, 0.1045496902273264, 0.10125426390369263, 0.09802712736958098, 0.09488245108501374, 0.09183449464416268, 0.08889740845524544, 0.08608501268422757, 0.0834105594288243, 0.08088648716106168, 0.07852417964990793, 0.07633374439314265, 0.07432382745089484, 0.0725014818274206, 0.07087210462780591, 0.069439453829655, 0.06820574879871441, 0.06717185029371345, 0.06633750674524858, 0.0657016453906426, 0.0652626806913847, 0.0650188093405582, 0.06496826162039804, 0.0651094829524957, 0.06544122682159896, 0.06596255009460135, 0.06667271299107204, 0.06757099717300544, 0.06865646501891856, 0.06992768963480511, 0.07138248747760355, 0.07301768331691898, 0.07482893119716265, 0.07681060638431433, 0.0789557736853143, 0.08125622867238833, 0.08370260147756654, 0.08628450857931456, 0.08899073640290953, 0.09180944115498986, 0.09472835142432086, 0.09773496298575243, 0.1008167183352655, 0.10396116633506164, 0.10715609971966766, 0.1103896700213256, 0.11365048073509242, 0.11692766033949, 0.12021091721851644, 0.12349057869592701 ], [ 0.10647785080080412, 0.10308841805343796, 0.09975535065547349, 0.09649282180219407, 0.09331522511079508, 0.0902369833002266, 0.08727232878700139, 0.0844350605835869, 0.08173828517763021, 0.07919415278360975, 0.07681360408730384, 0.0746061457291267, 0.07257967451458314, 0.07074036989057877, 0.06909267096037668, 0.06763934802839974, 0.06638166978160309, 0.06531965678598334, 0.06445240153672803, 0.06377842650650284, 0.06329604587734719, 0.06300369475757336, 0.06290019190154364, 0.06298490800331162, 0.06325782094911268, 0.06371945118410427, 0.06437068348778119, 0.06521249449473387, 0.06624561644009164, 0.06747017499743503, 0.06888534129040098, 0.0704890347008227, 0.07227770464829798, 0.0742462078141093, 0.07638778464069304, 0.07869412761202549, 0.08115552545419782, 0.08376106273216169, 0.08649885322330286, 0.08935628716277035, 0.09232027594085943, 0.09537748207515423, 0.09851452648255168, 0.10171816873064819, 0.10497545881586938, 0.10827386106147632, 0.11160135204111082, 0.1149464951593843, 0.11829849481738366, 0.121647233098804 ], [ 0.10511607562835043, 0.10168787045027337, 0.09831794591665553, 0.09502075308477527, 0.0918109265305751, 0.0887030734780776, 0.0857115322870967, 0.08285010573434633, 0.08013177849009381, 0.07756843263749645, 0.07517057947142952, 0.07294712934717977, 0.07090522303647698, 0.06905014689978166, 0.06738534949947608, 0.06591256896148535, 0.06463206916115331, 0.0635429701800994, 0.06264364646603195, 0.06193215671993549, 0.06140666418924245, 0.06106580538872881, 0.06090896916006552, 0.060936455824632973, 0.0611494972752352, 0.06155013246827413, 0.06214094798431975, 0.06292470866559907, 0.06390391672366154, 0.06508034672563053, 0.06645460647184914, 0.06802576908808096, 0.06979111042603499, 0.07174597039170415, 0.0738837402766908, 0.07619596366283546, 0.0786725282165626, 0.08130192057671728, 0.08407151620216981, 0.08696787927330073, 0.08997705300979891, 0.09308482667513798, 0.09627697106001772, 0.09953943878657501, 0.10285852914251108, 0.10622101938842163, 0.10961426577097196, 0.11302627805513814, 0.11644577148570946, 0.11986219988791234 ], [ 0.1038177736758717, 0.10035156892048701, 0.0969454486076944, 0.09361415273106523, 0.09037257332541948, 0.087235523975438, 0.08421747563705373, 0.0813322651574367, 0.07859278757449477, 0.07601068853724946, 0.0735960783466876, 0.07135729317077853, 0.06930073070833846, 0.06743078576321192, 0.06574990504769243, 0.06425877007059347, 0.06295660323728079, 0.06184157732275786, 0.06091129481205598, 0.06016329357354654, 0.05959553042188377, 0.05920679467474118, 0.05899700922632152, 0.05896738601655988, 0.05912041531134604, 0.059459683453069484, 0.059989531097129976, 0.060714582074413846, 0.06163918947409135, 0.06276685711735698, 0.06409969829875956, 0.06563798795475446, 0.06737985000397938, 0.0693211014792999, 0.07145525358239158, 0.07377365124191196, 0.07626572015485192, 0.07891928472306657, 0.08172092105607429, 0.08465631445159201, 0.08771059830305689, 0.09086865932225775, 0.09411540101458732, 0.0974359628569493, 0.10081589646546474, 0.10424130238115342, 0.10769893227091064, 0.1111762616862497, 0.11466153834776395, 0.11814381046306506 ], [ 0.10258709774432848, 0.09908365575655098, 0.09564195184413447, 0.09227702252552236, 0.08900403141242173, 0.08583801950974786, 0.08279361832569555, 0.0798847329851135, 0.07712420799951905, 0.0745234944965236, 0.07209234374497049, 0.06983855651135087, 0.06776781965211065, 0.06588365893839541, 0.06418752950751991, 0.062679052648882, 0.06135639128235476, 0.060216739060904655, 0.05925688263925033, 0.058473785999356494, 0.0578651412820707, 0.057429832303078604, 0.05716826371207309, 0.05708251927656403, 0.05717632630835409, 0.057454819768800416, 0.057924119067592365, 0.058590751935589734, 0.05946098019164677, 0.06054009748155892, 0.06183177480091697, 0.06333752322226904, 0.06505632525670993, 0.06698446050851758, 0.06911552362099911, 0.07144060889776783, 0.07394862051692438, 0.07662666127141927, 0.07946045506716941, 0.08243476626941895, 0.08553378935175125, 0.0887414926579591, 0.09204190885294737, 0.09541937114257529, 0.09885869857716299, 0.10234533608568695, 0.1058654558174678, 0.10940602637758035, 0.11295485602226701, 0.11650061511257888 ], [ 0.10142874149440598, 0.0978888918155991, 0.09441225035981059, 0.09101415351548041, 0.08771004716655867, 0.08451521868146919, 0.08144448780818753, 0.07851186429003053, 0.07573018625979011, 0.07311076056636032, 0.07066303319824362, 0.0683943234464554, 0.06630965760661671, 0.06441173512660497, 0.06270105108813204, 0.06117618396441469, 0.05983423852464203, 0.05867141375310632, 0.05768364846044823, 0.05686728598155283, 0.056219695412143854, 0.05573978973408478, 0.05542838915923488, 0.055288389340244444, 0.05532470811338752, 0.05554400175723555, 0.05595416319552115, 0.056563639558323366, 0.057380631876744366, 0.05841225987931596, 0.05966378373789797, 0.061137968057030416, 0.0628346514888477, 0.06475055285106124, 0.06687930941041574, 0.06921171316930955, 0.07173609211353053, 0.07443877708482799, 0.07730459933674563, 0.08031737501549502, 0.08346034660225013, 0.08671656450490509, 0.09006920261533492, 0.09350180911621708, 0.09699849833356806, 0.10054409160626389, 0.1041242156990447, 0.10772536685547282, 0.11133494765293427, 0.11494128270640708 ], [ 0.10034789409838303, 0.09677261428025274, 0.09326180279956024, 0.08983109438912826, 0.08649622351067392, 0.08327273939578199, 0.08017567576971162, 0.07721918347258984, 0.07441614121339965, 0.07177776777328032, 0.0693132670510849, 0.06702954373865176, 0.06493103002243612, 0.06301966048062857, 0.0612950220068763, 0.0597546883968015, 0.05839472736965753, 0.05721034510525146, 0.05619661428974985, 0.05534921971468835, 0.05466515204987766, 0.05414328447836119, 0.05378477592914981, 0.0535932564104153, 0.053574763904863786, 0.053737419855869946, 0.05409085339968571, 0.054645413354258744, 0.05541123812799036, 0.05639728013174197, 0.05761039455169275, 0.05905459628337662, 0.06073056272199321, 0.06263541974783693, 0.06476280399880958, 0.0671031572724603, 0.06964418607659859, 0.07237141294159313, 0.07526875326603244, 0.07831906675137094, 0.08150465031749266, 0.08480765567053088, 0.08821042725892918, 0.09169576469159396, 0.09524711831277975, 0.09884872847301904, 0.10248571907519076, 0.10614415500832343, 0.10981107167640458, 0.1134744833410907 ], [ 0.09935015858802501, 0.09574065275978816, 0.0921966464639558, 0.08873406589772449, 0.08536893515171452, 0.08211707608748917, 0.07899375846376784, 0.07601330867996935, 0.0731886932737752, 0.07053110238657177, 0.06804956762279753, 0.06575065617287928, 0.06363828631105216, 0.06171370600900011, 0.05997566489974929, 0.05842079045001109, 0.057044154510968316, 0.055839990930589105, 0.054802503807765836, 0.053926693277782566, 0.05320912280280066, 0.0526485571831615, 0.05224641053648376, 0.052006955430155856, 0.05193725776827526, 0.052046819283771, 0.052346933910736075, 0.05284979711814436, 0.05356744493109181, 0.05451063321141991, 0.05568778670876742, 0.05710414259410122, 0.058761182723899796, 0.06065639961350255, 0.06278338636243935, 0.06513219492243796, 0.0676898798848008, 0.07044113875269928, 0.07336897033248017, 0.07645529304940818, 0.07968148742418454, 0.08302884658998806, 0.08647893320920123, 0.09001385019056085, 0.09361643712988325, 0.09727040572899077, 0.10096042684030532, 0.10467218020330846, 0.10839237602665418, 0.11210875570072487 ], [ 0.09844143533457263, 0.09479920492536054, 0.09122326535580458, 0.08772982171674375, 0.08433518278777873, 0.08105544789208331, 0.0779061394877542, 0.07490178976294828, 0.07205549796019861, 0.0693784852086613, 0.06687968403172358, 0.064565408306227, 0.06243915350947245, 0.06050157380103354, 0.05875067001907536, 0.0571822012460821, 0.055790305106959, 0.05456828359540728, 0.05350948796397974, 0.05260822265394718, 0.05186058577003576, 0.05126517001197419, 0.050823558954523895, 0.050540565510643905, 0.05042417192510172, 0.05048514708627082, 0.05073634223480405, 0.051191702799049096, 0.051865078647853766, 0.05276895726232486, 0.05391327006396627, 0.055304419374916376, 0.05694463863103196, 0.05883173940632578, 0.06095923231854446, 0.06331675344390263, 0.06589069598523895, 0.06866494133410543, 0.07162159860183383, 0.07474168745441939, 0.0780057265220311, 0.08139421274981888, 0.08488799331569515, 0.0884685412568046, 0.09211815014562942, 0.09582006380502109, 0.09955855569376511, 0.10331897035069841, 0.10708773685711243, 0.11085236204053062 ], [ 0.09762777474807297, 0.0939546759927012, 0.09034841602644553, 0.08682546037919309, 0.08340239100182781, 0.08009558251271322, 0.07692081974360322, 0.07389286450362, 0.07102498854524411, 0.06832850069090189, 0.06581230764665998, 0.06348255788845518, 0.061342423059617956, 0.05939206835384943, 0.057628850188779744, 0.056047756206698066, 0.054642072434160784, 0.053404231140479846, 0.05232676736872817, 0.05140329750531579, 0.050629431092941365, 0.050003534610946074, 0.049527277875199976, 0.04920590562138143, 0.0490481882808157, 0.04906602126610253, 0.049273667841439106, 0.04968668086273719, 0.050320590200127614, 0.05118949372957747, 0.05230472310357196, 0.053673755454031524, 0.05529950304841722, 0.057180043526650653, 0.059308774265416635, 0.06167490878955787, 0.06426419657829079, 0.06705974310504997, 0.0700428268032635, 0.07319364148513867, 0.07649192535284703, 0.07991746418545097, 0.08345047407396447, 0.08707187879864647, 0.09076350060723753, 0.09450818298789963, 0.09828986186537764, 0.10209359873672481, 0.10590558634129282, 0.10971313488962395 ], [ 0.09691520591158206, 0.09321348950683685, 0.0895789194497849, 0.08602819731250459, 0.0825781597056104, 0.07924544651130491, 0.07604610622062286, 0.07299514572515314, 0.07010604147978541, 0.0673902407575899, 0.06485669442126132, 0.06251147378354087, 0.06035753031999325, 0.05839465460112727, 0.0566196772394544, 0.05502692981468758, 0.05360895100143805, 0.052357388932003264, 0.051264022825907765, 0.05032181104019021, 0.049525870624970283, 0.04887430197592685, 0.0483687850589202, 0.048014885659726225, 0.04782202056780957, 0.04780304471060929, 0.047973449198064975, 0.048350202573664555, 0.0489503256757118, 0.04978935033499735, 0.05087985327572804, 0.05223025962800646, 0.05384406730672953, 0.05571956376500921, 0.05785001481291179, 0.06022422940423126, 0.06282736336033184, 0.06564182208083735, 0.06864814746441625, 0.07182581229691559, 0.07515388299364167, 0.0786115410507954, 0.08217847253442292, 0.08583514459189891, 0.08956299093915021, 0.09334452723534459, 0.0971634142884921, 0.10100448349627503, 0.10485373556575407, 0.10869832070540415 ], [ 0.09630955020569919, 0.09258187972665025, 0.08892143058288987, 0.08534511011849591, 0.08186998387517884, 0.07851293849211521, 0.07529027792909986, 0.07221725962074214, 0.06930758711216231, 0.06657288823386565, 0.06402222161630179, 0.06166166676042164, 0.059494060301398755, 0.05751893949538956, 0.055732740307787645, 0.05412927143730049, 0.052700450619994656, 0.051437252589708764, 0.05033078756108219, 0.049373411714440735, 0.04855976888436672, 0.047887671930167616, 0.04735874608638686, 0.04697876884481776, 0.046757650720752456, 0.04670901440504264, 0.04684935584544499, 0.04719681673846592, 0.04776966175617778, 0.04858462155408623, 0.049655311037996634, 0.05099093845949212, 0.05259547411131749, 0.0544673579511735, 0.056599721742958194, 0.058981016208974696, 0.061595889115424164, 0.06442615928971827, 0.06745176204838495, 0.07065158537527988, 0.0740041582826642, 0.07748818473737154, 0.08108293628642474, 0.08476852587871476, 0.08852608757354492, 0.09233788493257761, 0.09618736719538476, 0.10005918826251205, 0.10393919979386361, 0.10781442666756225 ], [ 0.09581623074723844, 0.09206567810232329, 0.08838219997461673, 0.08478287353280924, 0.0812849603005404, 0.07790556640066795, 0.0746612329250231, 0.0715674621809423, 0.06863819574845827, 0.06588527333237228, 0.06331791602559991, 0.060942291191866435, 0.05876122484778292, 0.05677412677978786, 0.054977180224008555, 0.05336382109571063, 0.051925494908841366, 0.0506526400331646, 0.049535812934413226, 0.048566851924259746, 0.047739973098731986, 0.04705270186968397, 0.046506558175643226, 0.04610742627028457, 0.0458655496970461, 0.04579510480246002, 0.04591333242746207, 0.046239255395521754, 0.04679207772947708, 0.04758943552941335, 0.04864572377050099, 0.049970731808677456, 0.05156877040646004, 0.05343837539893304, 0.05557255941265865, 0.05795949045931469, 0.06058342913913819, 0.06342575747090104, 0.06646596759669418, 0.06968252734689918, 0.07305358524276391, 0.07655751121380833, 0.08017328941797248, 0.08388078847004711, 0.08766093583315322, 0.0914958204998252, 0.09536874380937263, 0.09926423376776947, 0.10316803427125892, 0.10706707743695332 ], [ 0.09544008939972919, 0.09167010755197637, 0.08796684333765493, 0.0843475024611658, 0.08082950250846142, 0.07743013313884411, 0.07416614394245899, 0.07105326481412534, 0.06810567397427672, 0.06533544217561824, 0.062751996953427, 0.06036166537755324, 0.058167363623562916, 0.056168502103745105, 0.054361162037479684, 0.05273857216276648, 0.05129187609556451, 0.050011139221077576, 0.04888650865011966, 0.04790941875887341, 0.04707373101945604, 0.04637670659867631, 0.04581972559956227, 0.04540868049795952, 0.0451539816680727, 0.04507012603431171, 0.045174806779150804, 0.04548759150795358, 0.04602826745093694, 0.04681503024381502, 0.04786275080575409, 0.04918156460057313, 0.05077597495422132, 0.052644558407240416, 0.054780239517313076, 0.05717100518981613, 0.059800880462517074, 0.06265099109252034, 0.06570057713562868, 0.06892787380314076, 0.0723108236453879, 0.07582761869593661, 0.0794570912848484, 0.08317898065043232, 0.08697410332090696, 0.09082445208172565, 0.09471324368383328, 0.09862493072994936, 0.10254518908346834, 0.10646088889305994 ], [ 0.09518522301707989, 0.09139959821740927, 0.08768013506879997, 0.08404412168266365, 0.08050908536000953, 0.07709245520908183, 0.07381115083907652, 0.0706811011069814, 0.06771670713093228, 0.0649302773447921, 0.06233147812787545, 0.05992685891198585, 0.05771952156094219, 0.05570900533059405, 0.053891446661271915, 0.05226004602626354, 0.050805835122194686, 0.04951869447985752, 0.04838853416646143, 0.047406527272223456, 0.04656628072631103, 0.045864837344949866, 0.04530341891126109, 0.04488783490925856, 0.04462849328465421, 0.044539964080690664, 0.04464007478979747, 0.044948566694831237, 0.04548541369352586, 0.04626898419326027, 0.04731428538986676, 0.04863153859134432, 0.05022527961919684, 0.052094071552325566, 0.054230793718698454, 0.05662337222790461, 0.05925576976280068, 0.06210905755364765, 0.06516243326685509, 0.0683941020311703, 0.07178198618097305, 0.07530426383330562, 0.07893975610668813, 0.0826681907530967, 0.08647037043363871, 0.09032827045614983, 0.09422508599391748, 0.09814524403491659, 0.10207439121995457, 0.10599936550474959 ], [ 0.09505484937215772, 0.09125763699284525, 0.08752584011851904, 0.08387677900363166, 0.08032803876271208, 0.07689713674123817, 0.07360111534377334, 0.07045606351494113, 0.06747658012636744, 0.06467520602390932, 0.06206186740752222, 0.059643389050038256, 0.05742314754869257, 0.05540093733932279, 0.053573111151147566, 0.051933030186462184, 0.05047182031036023, 0.0491793864244609, 0.048045598184592864, 0.04706153534502726, 0.046220674222280225, 0.04551990526127179, 0.04496028781476896, 0.04454746441965095, 0.04429167072444053, 0.044207293931728064, 0.04431196220918393, 0.04462519838034413, 0.045166742545564915, 0.04595472544528104, 0.04700393064717321, 0.04832439072360004, 0.04992050668810646, 0.05179077347601218, 0.05392807267226725, 0.056320397597787335, 0.05895183051737331, 0.06180359813317074, 0.06485507236581584, 0.06808463613302941, 0.07147038110962572, 0.07499063801048814, 0.07862435894785809, 0.08235137901519475, 0.08615258459583233, 0.09001001252451962, 0.09390689954883251, 0.09782769690689931, 0.10175806087712672, 0.10568482703996143 ], [ 0.09505121096235442, 0.09124666043988808, 0.08750659543793952, 0.08384831489859511, 0.08028940552238106, 0.07684741606418341, 0.0735394575003071, 0.07038173162436154, 0.0673890003834178, 0.0645740214928675, 0.06194699164530214, 0.05951505458152588, 0.05728194346588771, 0.05524783041926102, 0.0534094461442761, 0.05176050727760385, 0.05029245076371953, 0.048995430316750695, 0.04785949001566278, 0.04687580351844861, 0.04603785876379592, 0.04534247525041456, 0.044790557049557964, 0.04438750232044843, 0.04414320662144408, 0.04407161695719584, 0.0441898250377129, 0.04451673890906355, 0.04507144067686567, 0.04587141029926322, 0.04693084617520713, 0.048259316420419814, 0.049860918478005486, 0.05173402194865452, 0.053871554227404916, 0.05626169857857215, 0.05888883262204827, 0.06173454210692908, 0.06477858377667602, 0.06799972094140817, 0.07137639997145877, 0.07488726763569334, 0.07851154726983492, 0.0822292991008768, 0.08602159054804591, 0.0898705992785704, 0.0937596674766331, 0.09767332147344947, 0.10159726717766192, 0.10551836881270188 ], [ 0.0951755217927684, 0.09136799699213448, 0.08762384779112803, 0.08396029637694451, 0.08039487206126077, 0.07694509452727874, 0.07362808441211324, 0.07046010331994527, 0.06745603469849525, 0.0646288297587468, 0.06198895795152051, 0.05954391721896009, 0.057297871547478556, 0.05525148742154267, 0.05340203205037266, 0.05174377244093841, 0.05026867742576539, 0.04896738125797961, 0.04783032707965041, 0.04684898070500947, 0.04601699468689131, 0.045331208293344534, 0.04479238473092071, 0.044405605959201774, 0.044180264875832924, 0.04412961760542281, 0.04426989217041179, 0.04461899961756229, 0.045194957697247656, 0.04601420197763087, 0.04709000203547541, 0.04843119850230616, 0.05004142127413067, 0.051918853293834444, 0.054056499152376654, 0.05644283689223988, 0.059062694538740676, 0.061898199632818465, 0.0649296854072866, 0.0681364823890343, 0.07149756478770886, 0.07499205014115187, 0.07859956754960692, 0.08230051697220184, 0.08607624290546467, 0.08990914328247634, 0.09378273067725171, 0.09768165906487891, 0.10159172603962126, 0.10549985771328584 ], [ 0.09542795866530025, 0.09162186005312437, 0.08787784956095429, 0.08421301664655649, 0.08064477339209782, 0.0771905485974058, 0.07386741169298718, 0.07069162829112662, 0.06767815801453314, 0.06484011732124287, 0.06218824464853504, 0.05973042029405411, 0.05747130552946498, 0.05541216992278097, 0.053550968302066584, 0.05188270683004675, 0.050400102736813016, 0.04909450034857596, 0.047956966264037434, 0.04697945788865301, 0.04615594735829282, 0.04548338682437974, 0.04496241615616472, 0.04459773431733616, 0.044398077951219334, 0.04437577691378726, 0.044545891739112116, 0.0449249860746321, 0.04552964509508488, 0.0463749063324143, 0.04747280259789044, 0.0488312094502936, 0.050453136254472, 0.05233651335857029, 0.05447443564237349, 0.056855752877537497, 0.05946586594084678, 0.06228759400756628, 0.06530200851175054, 0.06848916889153446, 0.07182873072264549, 0.07530042276715786, 0.07888440488256884, 0.0825615256668033, 0.08631350002283267, 0.0901230250572509, 0.09397384968443205, 0.09785081006930063, 0.10173984014236091, 0.10562796405433006 ], [ 0.09580769487902932, 0.09200738924473544, 0.0882677089817389, 0.08460555596607638, 0.08103816643106633, 0.07758281768026735, 0.07425646804633047, 0.07107533180917316, 0.06805439900715303, 0.06520692132171658, 0.062543898836725, 0.060073616631769265, 0.05780129166767374, 0.055728895044532045, 0.053855208291611015, 0.05217615246663921, 0.05068539653661332, 0.049375211994284254, 0.04823750223468077, 0.04726490644979473, 0.046451864245256, 0.045795529406323185, 0.04529643546519119, 0.04495883676453141, 0.0447906734181633, 0.04480313751967948, 0.04500985419966257, 0.04542573647650555, 0.04606562360477175, 0.046942857663181826, 0.04806797640919375, 0.04944768834380063, 0.051084245922234754, 0.05297525740343997, 0.05511389989069837, 0.0574894381946739, 0.06008792839140459, 0.0628929900657957, 0.06588655661863868, 0.06904954571807934, 0.07236242203226871, 0.07580564673245731, 0.07936002200698901, 0.08300694545796028, 0.086728591026012, 0.09050803208560855, 0.09432932009494652, 0.0981775296142242, 0.10203877811774771, 0.10590022702127555 ], [ 0.09631297100987293, 0.09252273321977969, 0.08879148669182398, 0.08513589374849186, 0.0815729595263493, 0.07811975295660287, 0.07479306523509378, 0.07160900753061683, 0.06858255722974177, 0.06572707229727108, 0.06305380576166332, 0.06057146528271153, 0.05828587337923801, 0.056199788406053136, 0.0543129409700384, 0.05262232282461441, 0.051122736041074895, 0.04980757382943876, 0.04866976812020745, 0.0477028108604395, 0.046901741534760316, 0.046263994081274094, 0.045790009549293006, 0.04548354224159259, 0.04535161348653989, 0.04540409796289344, 0.04565296372967277, 0.04611122875766278, 0.046791739592647145, 0.04770591229713989, 0.0488625897655983, 0.05026715374644507, 0.05192098453938957, 0.05382129776141072, 0.0559613241616654, 0.0583307522466345, 0.06091633312185955, 0.06370255099233445, 0.06667228285795242, 0.06980739708235333, 0.0730892649344621, 0.07649917781739952, 0.08001867480657354, 0.08362979130674461, 0.08731524178635915, 0.09105854927121583, 0.09484413280461178, 0.09865736220024011, 0.10248458756788237, 0.10631314948229073 ], [ 0.09694119495173541, 0.09316516456745105, 0.0894463271770282, 0.0858010581907922, 0.08224608181357787, 0.07879820779373017, 0.07547401055911297, 0.07228945261940813, 0.06925946093850419, 0.06639747419787692, 0.0637149899611382, 0.06122115228618682, 0.05892242984153651, 0.056822438769093285, 0.054921960034095475, 0.05321918563838159, 0.05171020219793467, 0.05038968760687693, 0.0492517631505563, 0.048290916639555294, 0.04750289740689107, 0.04688548338657187, 0.046439032477244985, 0.04616675154794849, 0.04607464355377877, 0.046171124602715115, 0.046466337794015475, 0.04697122769514423, 0.047696474023896984, 0.04865140779321012, 0.049843039232520946, 0.05127530895574658, 0.052948634112466315, 0.054859769520119395, 0.057001954062032914, 0.05936527714507018, 0.06193718450934647, 0.06470304566503722, 0.0676467204256236, 0.07075108202145813, 0.073998473326638, 0.07737108765795375, 0.0808512755642168, 0.08442178460474452, 0.08806594148288688, 0.09176778623606295, 0.09551216742449473, 0.09928480604040643, 0.10307233455269249, 0.10686231629871291 ], [ 0.09768906190261438, 0.09393121569522703, 0.09022861190467318, 0.08659729784568433, 0.08305367412645139, 0.07961424848190203, 0.07629533735329136, 0.07311271726707683, 0.07008123412921125, 0.0672143866446635, 0.06452390973141271, 0.06201939380084764, 0.05970798402435423, 0.057594207402821965, 0.05567997172119348, 0.053964767361260824, 0.052446080585700446, 0.05111999815829293, 0.04998195331349649, 0.049027538389061875, 0.04825329507532687, 0.04765739169620077, 0.047240107627638396, 0.047004065210771204, 0.046954176186272706, 0.04709730024145302, 0.04744164571614451, 0.0479959742808883, 0.0487686982608234, 0.04976697548261136, 0.05099590663329769, 0.05245792189348608, 0.0541524101322661, 0.05607560335548289, 0.05822069157210095, 0.06057811702373703, 0.06313598534037289, 0.06588053322887123, 0.06879660324057343, 0.07186809079066103, 0.0750783428100561, 0.07841049887809803, 0.08184777368357385, 0.08537368448811268, 0.0889722296674156, 0.0926280251902033, 0.09632640573292542, 0.10005349649652938, 0.10379626098904922, 0.10754252923093277 ], [ 0.09855268454245861, 0.09481682423716271, 0.09113412078655006, 0.08752025965467418, 0.08399128367869775, 0.08056336506809735, 0.07725253076322273, 0.07407434337219017, 0.07104354518884708, 0.06817367974378627, 0.06547671354257936, 0.0629626890718608, 0.06063944707005301, 0.058512459164511525, 0.056584808884691584, 0.05485734810915242, 0.053329037167165444, 0.05199745230252888, 0.050859418306684896, 0.04991170214893394, 0.049151690083220484, 0.04857796866342881, 0.04819073942426661, 0.047992015663977074, 0.04798557480055741, 0.048176668117886075, 0.04857151849566134, 0.04917666282841754, 0.04999821558704697, 0.05104113942539046, 0.05230860500605459, 0.05380150514470537, 0.05551816138149374, 0.057454230489558264, 0.05960279122628535, 0.06195457303256076, 0.06449828032712249, 0.06722096729695196, 0.07010842551916796, 0.07314555687340073, 0.07631671425831288, 0.07960600100101894, 0.08299752596749588, 0.08647561535372135, 0.09002498439605125, 0.09363087329177065, 0.09727915190909531, 0.10095639771979852, 0.10464995102713896, 0.10834795112026227 ], [ 0.09952772419419036, 0.09581747738856311, 0.09215818986408299, 0.08856515974293826, 0.08505404718514771, 0.08164066534905033, 0.07834073036855761, 0.0751695726804462, 0.07214181654002312, 0.06927104038412998, 0.06656943747405818, 0.06404750313107192, 0.06171378046877972, 0.05957469899630507, 0.05763453790959343, 0.05589553694712422, 0.054358162261737265, 0.053021514514369775, 0.05188384470686488, 0.05094312449327112, 0.050197605932187785, 0.04964630347352474, 0.04928933888522574, 0.04912810631070938, 0.04916523694048973, 0.04940436765017318, 0.049849742165841864, 0.050505693734828716, 0.05137607195341522, 0.052463680958606894, 0.05376979058977235, 0.05529376739295517, 0.057032851685358904, 0.05898208490726573, 0.06113437267304093, 0.06348065632857298, 0.06601016032755891, 0.06871068335611391, 0.07156890580729708, 0.07457069273081865, 0.07770137802698825, 0.08094602138146988, 0.08428963383553979, 0.08771737096214088, 0.09121469458992168, 0.09476750516610633, 0.09836224743230247, 0.10198599230739994, 0.10562649787201346, 0.10927225222406368 ], [ 0.10060951508281449, 0.09692834632367697, 0.0932958554054832, 0.08972693623519794, 0.08623685084696914, 0.08284103978679422, 0.07955489701910082, 0.07639351171797794, 0.07337138305150982, 0.07050211880772737, 0.06779813413226189, 0.06527037207159726, 0.062928071954583, 0.060778613490775284, 0.05882746236051419, 0.05707823596846361, 0.055532895818925294, 0.054192056873624134, 0.053055386848776476, 0.052122053128900586, 0.05139116518877042, 0.05086215844327263, 0.0505350719140335, 0.050410685877893394, 0.050490504303915516, 0.05077658731510615, 0.051271258007341156, 0.05197672295902362, 0.052894654555866595, 0.054025784675217854, 0.05536955342490958, 0.056923845007386904, 0.05868482800976944, 0.060646902584852495, 0.0628027447521771, 0.06514342999030985, 0.06765861469599753, 0.0703367542074889, 0.07316533866821784, 0.07613113176531518, 0.07922040132991184, 0.0824191343368827, 0.08571323173200707, 0.08908868071155038, 0.0925317036666523, 0.09602888410551692, 0.09956727059962758, 0.10313446026459147, 0.10671866355659544, 0.11030875229660263 ], [ 0.10179317563809216, 0.09814440416149404, 0.0945419774845416, 0.09100037690342602, 0.0875344599521518, 0.08415929030941699, 0.08088993740825359, 0.07774124803597399, 0.07472759523455096, 0.07186261354586339, 0.0691589338292745, 0.0666279349819741, 0.06427953310027876, 0.06212202989877772, 0.060162040498355156, 0.05840451524766055, 0.05685286097776302, 0.055509154897571224, 0.05437443111378736, 0.05344900807270553, 0.0527328176667562, 0.05222569519062795, 0.051927594342636794, 0.05183870217454871, 0.05195944326495899, 0.05229037779655112, 0.052832012035662956, 0.053584549824222595, 0.05454761879913922, 0.05572000482501028, 0.057099423207934985, 0.05868234709110703, 0.06046390389277718, 0.062437841575891925, 0.06459655931088677, 0.06693119237536083, 0.06943173890122538, 0.07208721583192443, 0.07488583250348166, 0.07781517197577759, 0.08086237214860582, 0.08401430052563973, 0.08725771811290071, 0.09057942932242602, 0.09396641590553628, 0.09740595388577498, 0.10088571322255924, 0.10439384053280065, 0.10791902564750383, 0.1114505531011823 ], [ 0.10307370283685627, 0.09946052344411158, 0.09589133912532315, 0.09238021805128167, 0.0889416150724132, 0.08559022086767923, 0.0823407855141023, 0.07920791857809184, 0.07620587017984636, 0.07334830030578394, 0.07064804672723742, 0.06811690483185588, 0.06576543490618553, 0.06360281320996045, 0.06163674184538805, 0.05987342845880617, 0.058317640197482305, 0.05697282772183137, 0.055841305768218795, 0.054924468560988544, 0.05422301309844057, 0.053737142291031825, 0.053466723485570515, 0.05341138537472014, 0.05357054611067993, 0.05394337564536124, 0.054528704043731197, 0.05532489342528569, 0.05632969368805944, 0.05754010141554657, 0.05895223809983912, 0.06056125909575337, 0.062361299644874, 0.06434545975454085, 0.06650582620551831, 0.06883352763733472, 0.07131881738345493, 0.07395117822192208, 0.07671944318786056, 0.07961192685155938, 0.0826165618793791, 0.08572103621190008, 0.08891292679481957, 0.09217982646742383, 0.09550946132683155, 0.09888979660935993, 0.10230912982550648, 0.10575617051824215, 0.10922010656017063, 0.1126906573499159 ], [ 0.1044460475954013, 0.10087155147278225, 0.09733871987777194, 0.09386121424533912, 0.09045309547688642, 0.0871286916805709, 0.08390244448687018, 0.0807887357482969, 0.07780169817206477, 0.07495501545598644, 0.07226171963506559, 0.06973399532180372, 0.0673830019535507, 0.06521872559739729, 0.06324987088690062, 0.06148380101505246, 0.0599265294297952, 0.058582761424977196, 0.057455978047128396, 0.05654854975382667, 0.05586186413706035, 0.05539645147643697, 0.055152094014768546, 0.05512790909387987, 0.05532240160854533, 0.055733486438859496, 0.05635848562061216, 0.05719410747146909, 0.05823641567385504, 0.059480795780891674, 0.06092192530559426, 0.06255375200755788, 0.06436948358224101, 0.06636159085458287, 0.06852182576739957, 0.07084125481493309, 0.07331030796326145, 0.07591884243340939, 0.07865621999216516, 0.08151139566360148, 0.0844730151404089, 0.08752951773235586, 0.09066924149759868, 0.09388052727219555, 0.09715181861194175, 0.10047175512860605, 0.10382925726866342, 0.107213601179006, 0.11061448287585002, 0.1140220714415461 ], [ 0.10590517100457246, 0.10237236388401537, 0.09887894498421279, 0.09543818104507594, 0.0920637531431183, 0.08876964203065416, 0.08556999558103036, 0.08247897976544163, 0.07951061578712819, 0.07667860733354159, 0.07399616325697657, 0.07147582218341049, 0.06912928635682797, 0.06696727221981376, 0.0649993846225103, 0.06323402006707073, 0.061678302137139304, 0.060338049538931425, 0.05921777446456945, 0.0583207068029938, 0.057648838480644955, 0.057202982062218535, 0.056982838501471615, 0.056987070158887466, 0.05721337636857561, 0.05765856954464968, 0.0583186499546857, 0.0591888770410993, 0.060263834907940926, 0.061537489677015375, 0.06300323705994973, 0.06465393966952561, 0.06648195508006093, 0.06847915711118066, 0.07063695392493961, 0.07294630706140269, 0.07539775540633656, 0.07798144734802147, 0.0806871832136378, 0.08350446871178913, 0.0864225787781531, 0.08943063011036832, 0.09251765989852362, 0.09567270784587918, 0.09888489850576757, 0.10214352116875071, 0.10543810493469385, 0.10875848711241907, 0.11209487363194331, 0.11543789067559455 ], [ 0.1074460826264433, 0.10395789841250314, 0.10050691297748077, 0.09710601464402469, 0.09376852253204494, 0.09050808820840314, 0.08733858232690471, 0.084273967231235, 0.08132815722955287, 0.07851486901455294, 0.0758474654219722, 0.07333879630380132, 0.07100104065051518, 0.06884555416590357, 0.06688272626916496, 0.06512185003878333, 0.06357100806545013, 0.062236976734444775, 0.061125151270894344, 0.06023949399579025, 0.05958250851037053, 0.0591552426169778, 0.05895732227307613, 0.05898701743102514, 0.05924133819078528, 0.059716156620400244, 0.060406346539435496, 0.061305931292256935, 0.06240822868951136, 0.06370598313354937, 0.06519147730090741, 0.06685661911515924, 0.06869300341727146, 0.070691951060472, 0.07284453062395181, 0.0751415692957069, 0.07757365970175076, 0.08013116873023479, 0.0828042530056214, 0.08558288394061336, 0.08845688353737993, 0.09141597056088355, 0.09444981551277866, 0.09754810205425787, 0.10070059214818276, 0.10389719215478327, 0.10712801733623456, 0.11038345261346286, 0.11365420789213478, 0.11693136676840461 ], [ 0.10906386308813391, 0.10562317183710357, 0.10221760559604308, 0.09885969332334922, 0.09556241216103603, 0.09233910387003295, 0.08920337850461656, 0.08616900580150245, 0.08324979510821252, 0.08045946498491474, 0.07781150385021407, 0.07531902318608544, 0.07299460488437524, 0.07085014437106266, 0.06889669130495873, 0.06714429007887661, 0.06560182321508021, 0.06427686212488123, 0.06317553150119869, 0.062302395491851285, 0.061660375175927, 0.061250707027450654, 0.0610729504027178, 0.061125048419077156, 0.06140344127124601, 0.061903224997337435, 0.06261834323385332, 0.06354179580146353, 0.06466584681702298, 0.06598221655838779, 0.06748224501885926, 0.06915702007150036, 0.07099746839900788, 0.07299441195301773, 0.07513859610279663, 0.07742069756772971, 0.07983132074412576, 0.08236099038370714, 0.08500014711720366, 0.08773915042334528, 0.09056829166235235, 0.09347781798573726, 0.09645796646825043, 0.09949900676057956, 0.10259128993591671, 0.10572530095152084, 0.10889171219046277, 0.11208143580200135, 0.11528567293893074, 0.11849595842699454 ], [ 0.11075367381899749, 0.10736328366662796, 0.10400608436706024, 0.10069426593449761, 0.09744048410852779, 0.09425778988131256, 0.09115954791634287, 0.08815934381955233, 0.085270880261885, 0.0825078619140254, 0.0798838690424137, 0.07741221947075415, 0.07510581852584655, 0.07297699671558386, 0.07103733543740606, 0.06929748220758591, 0.06776695889131708, 0.06645396918496273, 0.06536521486067248, 0.0645057334018647, 0.06387877173611942, 0.06348571084850685, 0.06332605344098743, 0.06339748140552705, 0.06369598240082705, 0.06421603665758167, 0.06495084798940198, 0.06589259835035945, 0.06703270399555136, 0.06836205336014434, 0.06987121142628787, 0.07155058142127473, 0.07339052095207221, 0.07538141513022721, 0.07751371325448667, 0.07977793796526263, 0.08216467655099206, 0.08466456356412451, 0.08726826248482299, 0.08996645225509983, 0.09274982244806387, 0.09560907890731381, 0.09853496006808285, 0.10151826294482079, 0.1045498769569945, 0.10762082333184343, 0.11072229770399614, 0.11384571364843786, 0.11698274515679173, 0.1201253664278077 ], [ 0.11251075702693328, 0.10917341026460253, 0.10586747819940961, 0.10260483241570563, 0.09939782711122333, 0.09625923992434403, 0.09320220276946906, 0.09024012213458696, 0.08738658809532436, 0.08465527101179507, 0.08205980453405726, 0.07961365323486665, 0.07732996306403526, 0.07522139309163685, 0.07329992793427173, 0.07157667208122834, 0.07006163018457155, 0.06876348114345371, 0.06768935804904044, 0.06684464993562464, 0.0662328437074571, 0.06585542448038281, 0.06571184917955716, 0.06579960160440952, 0.06611432825227562, 0.0666500446671957, 0.06739939390758176, 0.06835393354314616, 0.06950442624442861, 0.07084111140699345, 0.07235394045131618, 0.07403276513142654, 0.0758674750285068, 0.07784808634312308, 0.07996478849780604, 0.08220795770292637, 0.0845681476301813, 0.08703606698805884, 0.08960255250016093, 0.09225854395165753, 0.09499506594101649, 0.09780321902366279, 0.10067418124258477, 0.10359921970734785, 0.10656971093766494, 0.10957716811077486, 0.11261327309107294, 0.11566991110768772, 0.11873920610978696, 0.12181355510447138 ], [ 0.11433042896621616, 0.11104879293079431, 0.10779696596998523, 0.10458652076849567, 0.10142952807140077, 0.0983385069907781, 0.09532636597643586, 0.09240633342890317, 0.0895918765625319, 0.08689660667590222, 0.08433416851870236, 0.08191811107890297, 0.07966173703808985, 0.0775779286042108, 0.07567894870563577, 0.07397621885326565, 0.07248007843517694, 0.0711995346142006, 0.07014201679191882, 0.06931315383594726, 0.06871659474613355, 0.06835389302203063, 0.0682244710141415, 0.06832567314162157, 0.068652907134001, 0.06919986223476482, 0.06995878464620049, 0.07092078506646946, 0.07207615178931247, 0.07341464533046672, 0.07492575593900402, 0.07659891226710672, 0.07842363653715204, 0.0803896476956329, 0.08248691864807792, 0.0847056965160624, 0.08703649605411616, 0.08947007621377683, 0.0919974087301194, 0.09460964592011603, 0.09729809295930737, 0.10005418800588277, 0.10286949184986127, 0.10573568738430303, 0.10864458816627073, 0.11158815465082217, 0.11455851630290603, 0.1175479976634219, 0.12054914650450074, 0.12355476239542763 ], [ 0.11620806929075533, 0.11298472305122696, 0.10978975750239174, 0.10663446412653291, 0.10353064575804993, 0.10049057458372847, 0.0975269410860464, 0.09465279248161851, 0.09188145872652707, 0.08922646362151823, 0.08670141803730583, 0.08431989193704398, 0.08209526190694054, 0.08004053157667641, 0.07816812389013009, 0.07648964688158366, 0.07501563845859915, 0.07375530043397176, 0.07271623705221951, 0.07190421752088318, 0.07132298437591124, 0.07097412878367551, 0.07085704951522288, 0.07096900456082883, 0.07130525435211454, 0.0718592851811739, 0.0726230926846701, 0.0735874998130941, 0.0747424822991982, 0.07607747707538809, 0.07758165439803409, 0.07924414126388314, 0.08105419071178718, 0.0830012977525214, 0.08507526734167403, 0.08726624279041209, 0.08956470438930823, 0.09196144808169532, 0.09444755312624724, 0.09701434619740228, 0.09965336760559905, 0.10235634352761287, 0.10511516649745169, 0.10792188502758167, 0.1107687021585354, 0.11364798197669099, 0.11655226266933932, 0.11947427445843754, 0.12240696071717021, 0.12534350067350009 ], [ 0.11813910888875744, 0.1149765268901565, 0.11184107563720262, 0.10874378066795788, 0.10569618940687286, 0.10271033516325424, 0.09979869206075635, 0.09697411908799562, 0.09424979092259074, 0.09163911261550207, 0.08915561472950942, 0.08681282526241403, 0.08462411486650386, 0.08260251275557715, 0.08076049251854192, 0.07910973000201671, 0.07766083946486828, 0.07642309903430018, 0.07540418143574111, 0.07460991002835504, 0.07404406219670708, 0.0737082411177432, 0.0736018323477666, 0.07372205386755197, 0.07406409835912468, 0.07462135635686618, 0.0753857004427676, 0.07634780535133733, 0.07749747742070286, 0.07882396907593611, 0.08031625904600367, 0.08196328552534031, 0.08375412623285036, 0.08567812530647742, 0.08772497160040624, 0.08988473600147959, 0.09214787691888568, 0.09450522337340453, 0.09694794444643018, 0.09946751257878503, 0.10205566663100626, 0.10470437896686031, 0.10740582927077172, 0.11015238646635381, 0.11293659902315714, 0.11575119313687961, 0.1185890777298313, 0.12144335491002049, 0.12430733440590148, 0.12717455051406593 ], [ 0.12011901812436789, 0.11701955200480368, 0.11394614136594797, 0.11090955825219963, 0.10792110390670827, 0.10499257720778332, 0.10213623381697252, 0.099364733940226, 0.09669107605236014, 0.09412851339118347, 0.09169044960136373, 0.08939030976179352, 0.08724138337428607, 0.08525663696251522, 0.08344849594422332, 0.08182859851764039, 0.08040752837552767, 0.07919453777743622, 0.07819727719634818, 0.07742155145294728, 0.076871123893867, 0.07654758887155493, 0.0764503281577922, 0.07657655932933385, 0.07692147473373952, 0.07747846004279403, 0.0782393733907207, 0.07919486104563073, 0.08033468411628106, 0.08164803277726883, 0.08312380908188904, 0.08475086546798904, 0.08651819239104962, 0.08841505421913735, 0.0904310770219752, 0.09255629494851132, 0.09478116355037505, 0.0970965488792234, 0.0994937007516845, 0.10196421753677953, 0.1045000084483955, 0.10709325783978868, 0.10973639456108947, 0.11242206816226068, 0.11514313266350154, 0.11789263779555224, 0.12066382702890685, 0.12345014134022056, 0.1262452274724949, 0.12904294939487332 ], [ 0.12214329692311952, 0.11910915667673155, 0.11610016331190336, 0.11312684487104209, 0.1102002623721749, 0.10733198129154192, 0.10453403340838477, 0.10181886670237951, 0.09919928046472322, 0.09668834229732164, 0.09429928334599676, 0.09204536810349613, 0.08993973562377729, 0.08799521022128001, 0.08622408186400203, 0.08463785958029976, 0.08324700517329861, 0.08206065900176929, 0.08108637388435766, 0.08032987642919663, 0.07979487633494092, 0.07948294269787634, 0.0793934618116544, 0.07952368374511429, 0.07986885618471179, 0.08042243513658572, 0.08117635466872097, 0.08212133315257768, 0.08324719201002286, 0.08454316464300307, 0.08599817730404392, 0.08760108913561991, 0.08934088442806873, 0.09120681547694874, 0.09318849871819047, 0.09527596984267445, 0.09745970534501275, 0.09973061860867011, 0.10208003841649509, 0.10449967696694357, 0.10698159331603421, 0.10951815685613513, 0.11210201413873555, 0.1147260611551451, 0.11738342217016297, 0.12006743538847607, 0.12277164512538065, 0.12548979973802418, 0.12821585432531868, 0.13094397709329922 ], [ 0.12420746767129082, 0.12124070321508015, 0.11829833223238605, 0.11539064533241243, 0.11252846618015548, 0.10972312482349839, 0.10698642097087681, 0.10433057477669791, 0.10176816221036702, 0.0993120316797532, 0.0969751983663285, 0.09477071285952085, 0.09271150133081595, 0.0908101758433461, 0.0890788155852646, 0.08752872287350624, 0.08617016155147697, 0.08501208952079117, 0.08406190098323359, 0.08332519672674613, 0.08280560164779295, 0.08250464704090511, 0.08242173081444328, 0.08255416209973218, 0.08289728866668115, 0.0834446974724923, 0.08418847192018021, 0.08511948505136092, 0.08622770645160514, 0.08750250200008027, 0.08893290914268905, 0.0905078752293207, 0.09221645171941724, 0.09404794196826052, 0.09599200435223378, 0.0980387154304221, 0.10017859964606676, 0.10240263286743014, 0.10470222705673492, 0.10706920276652099, 0.1094957552116935, 0.11197441853720577, 0.11449803173900483, 0.11705970860189903, 0.1196528130573183, 0.12227094057079244, 0.12490790555373042, 0.12755773435011095, 0.13021466305806886, 0.1328731392851645 ] ] }, { "hoverinfo": "text", "legendgroup": "In-sample", "marker": { "color": "black", "opacity": 0.5, "symbol": 1 }, "mode": "markers", "name": "In-sample", "text": [ "0_0", "10_0", "11_0", "12_0", "13_0", "14_0", "15_0", "16_0", "17_0", "18_0", "19_0", "1_0", "20_0", "21_0", "22_0", "23_0", "2_0", "3_0", "4_0", "5_0", "6_0", "7_0", "8_0", "9_0" ], "type": "scatter", "x": [ 0.5822229981422424, 0.4940814344731449, 0.36622462830945285, 0.45561824835391246, 0.4989602851054375, 0.5395281385689746, 0.594063051321367, 0.5390439394663986, 0.514576135956636, 0.4868116335704628, 0.4166385650885352, 0.8880982995033264, 0.5048348828935527, 0.4575937767902797, 0.5228708230436103, 0.5427699091313345, 0.4238988757133484, 0.42311030626296997, 0.6058930158615112, 0.5287163853645325, 0.38186870561824515, 0.4205221264723126, 0.46534274887983673, 0.5075652040161842 ], "xaxis": "x", "y": [ 0.6176493167877197, 0.48120152917516346, 0.48982117618729115, 0.48800576361298037, 0.5016948991874005, 0.5198646407558394, 0.5498145828141999, 0.550333216587216, 0.5614362904957222, 0.5740393700686155, 0.4972457128944946, 0.8558065891265869, 0.5668579548313893, 0.6306929108480166, 0.5664115601602521, 0.5470667487084216, 0.9543828368186951, 0.4429064393043518, 0.5553044080734253, 0.0710170641541481, 0.2504794867554636, 0.5737579794389355, 0.47422913062873273, 0.45962419469585813 ], "yaxis": "y" }, { "hoverinfo": "text", "legendgroup": "In-sample", "marker": { "color": "black", "opacity": 0.5, "symbol": 1 }, "mode": "markers", "name": "In-sample", "showlegend": false, "text": [ "0_0", "10_0", "11_0", "12_0", "13_0", "14_0", "15_0", "16_0", "17_0", "18_0", "19_0", "1_0", "20_0", "21_0", "22_0", "23_0", "2_0", "3_0", "4_0", "5_0", "6_0", "7_0", "8_0", "9_0" ], "type": "scatter", "x": [ 0.5822229981422424, 0.4940814344731449, 0.36622462830945285, 0.45561824835391246, 0.4989602851054375, 0.5395281385689746, 0.594063051321367, 0.5390439394663986, 0.514576135956636, 0.4868116335704628, 0.4166385650885352, 0.8880982995033264, 0.5048348828935527, 0.4575937767902797, 0.5228708230436103, 0.5427699091313345, 0.4238988757133484, 0.42311030626296997, 0.6058930158615112, 0.5287163853645325, 0.38186870561824515, 0.4205221264723126, 0.46534274887983673, 0.5075652040161842 ], "xaxis": "x2", "y": [ 0.6176493167877197, 0.48120152917516346, 0.48982117618729115, 0.48800576361298037, 0.5016948991874005, 0.5198646407558394, 0.5498145828141999, 0.550333216587216, 0.5614362904957222, 0.5740393700686155, 0.4972457128944946, 0.8558065891265869, 0.5668579548313893, 0.6306929108480166, 0.5664115601602521, 0.5470667487084216, 0.9543828368186951, 0.4429064393043518, 0.5553044080734253, 0.0710170641541481, 0.2504794867554636, 0.5737579794389355, 0.47422913062873273, 0.45962419469585813 ], "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 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 } }, "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": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "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": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "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 }, "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 } } }, "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": "x3" }, "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": "x3" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": false, "domain": [ 0, 1 ], "exponentformat": "e", "range": [ 0.0, 1.0 ], "tickfont": { "size": 11 }, "tickmode": "auto", "title": { "text": "x4" }, "type": "linear" }, "yaxis2": { "anchor": "x2", "autorange": false, "domain": [ 0, 1 ], "exponentformat": "e", "range": [ 0.0, 1.0 ], "tickfont": { "size": 11 }, "tickmode": "auto", "type": "linear" } } }, "text/html": [ "
\n", " \n", " \n", "
\n", " \n", "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "render(ax_client.get_contour_plot(param_x=\"x3\", param_y=\"x4\", metric_name=\"l2norm\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we plot the optimization trace, showing the progression of finding the point with the optimal objective:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "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 ], "y": [ -0.06062986503313455, -0.06062986503313455, -0.06062986503313455, -0.2338851584153253, -0.2338851584153253, -0.2338851584153253, -0.2338851584153253, -0.2338851584153253, -0.27972767406019505, -0.27972767406019505, -0.29563436432653917, -0.30036248348738404, -0.5416193102480553, -0.8404367648315936, -1.1363967011431058, -1.3117252598601419, -2.168811308457226, -2.7080511108921055, -2.9969537426112614, -2.9969537426112614, -2.9969537426112614, -3.0004943801163484, -3.101607477541643, -3.101607477541643, -3.145943078062998 ] }, { "fill": "tonexty", "fillcolor": "rgba(128,177,211,0.3)", "legendgroup": "mean", "line": { "color": "rgba(128,177,211,1)" }, "mode": "lines", "name": "mean", "text": [ "
Parameterization:
x1: 0.3109060823917389
x2: 0.4074442684650421
x3: 0.5822229981422424
x4: 0.6176493167877197
x5: 0.8295004367828369
x6: 0.9723035097122192", "
Parameterization:
x1: 0.7814682722091675
x2: 0.18778060376644135
x3: 0.8880982995033264
x4: 0.8558065891265869
x5: 0.5820131301879883
x6: 0.39632418751716614", "
Parameterization:
x1: 0.5079823136329651
x2: 0.6565420031547546
x3: 0.4238988757133484
x4: 0.9543828368186951
x5: 0.4363919496536255
x6: 0.7005733847618103", "
Parameterization:
x1: 0.38593631982803345
x2: 0.3165286183357239
x3: 0.42311030626296997
x4: 0.4429064393043518
x5: 0.0017594657838344574
x6: 0.126139298081398", "
Parameterization:
x1: 0.8924418687820435
x2: 0.35533764958381653
x3: 0.6058930158615112
x4: 0.5553044080734253
x5: 0.5992248058319092
x6: 0.7218899130821228", "
Parameterization:
x1: 0.11717308312654495
x2: 0.6871101260185242
x3: 0.5287163853645325
x4: 0.0710170641541481
x5: 0.646973729133606
x6: 0.9351199269294739", "
Parameterization:
x1: 0.3494945081917956
x2: 0.3227716806250468
x3: 0.38186870561824515
x4: 0.2504794867554636
x5: 0.000129276261570975
x6: 0.09368019739426173", "
Parameterization:
x1: 0.3773133503896995
x2: 0.28828757091209584
x3: 0.4205221264723126
x4: 0.5737579794389355
x5: 2.0458894164723365e-16
x6: 0.08588980904304803", "
Parameterization:
x1: 0.42958385266030613
x2: 0.37327631505400855
x3: 0.46534274887983673
x4: 0.47422913062873273
x5: 8.915081118117316e-18
x6: 0.26984011185460793", "
Parameterization:
x1: 0.565577012661707
x2: 0.37511371873557925
x3: 0.5075652040161842
x4: 0.45962419469585813
x5: 1.0717113578155299e-16
x6: 0.280034608492757", "
Parameterization:
x1: 0.3489571792139717
x2: 0.3947330501906005
x3: 0.4940814344731449
x4: 0.48120152917516346
x5: 7.790744704095836e-18
x6: 0.34448966123576674", "
Parameterization:
x1: 0.3523224181687135
x2: 0.4348228906230964
x3: 0.36622462830945285
x4: 0.48982117618729115
x5: 0.0
x6: 0.35217821765167806", "
Parameterization:
x1: 0.35031859030746015
x2: 0.5277065462448317
x3: 0.45561824835391246
x4: 0.48800576361298037
x5: 0.0
x6: 0.2812296478112724", "
Parameterization:
x1: 0.31963920591328493
x2: 0.57505473599945
x3: 0.4989602851054375
x4: 0.5016948991874005
x5: 0.0
x6: 0.2208543642476568", "
Parameterization:
x1: 0.286134554255515
x2: 0.6123745902320114
x3: 0.5395281385689746
x4: 0.5198646407558394
x5: 3.278844405887125e-17
x6: 0.1588770407849909", "
Parameterization:
x1: 0.23267127788594152
x2: 0.6705822370433587
x3: 0.594063051321367
x4: 0.5498145828141999
x5: 2.3314211843885685e-14
x6: 0.08236677924822627", "
Parameterization:
x1: 0.31719479867623346
x2: 0.7062511684759621
x3: 0.5390439394663986
x4: 0.550333216587216
x5: 3.693921737063786e-17
x6: 0.03525614235518906", "
Parameterization:
x1: 0.3690627275474613
x2: 0.7618817249658992
x3: 0.514576135956636
x4: 0.5614362904957222
x5: 0.0
x6: 0.0", "
Parameterization:
x1: 0.4279902566896458
x2: 0.8235946487314937
x3: 0.4868116335704628
x4: 0.5740393700686155
x5: 1.9689708231345466e-13
x6: 5.488203476397775e-13", "
Parameterization:
x1: 0.43686596888711077
x2: 0.8878698637493873
x3: 0.4166385650885352
x4: 0.4972457128944946
x5: 3.6930587997851197e-09
x6: 6.385638235672386e-09", "
Parameterization:
x1: 0.49163806584699593
x2: 0.8292623785301387
x3: 0.5048348828935527
x4: 0.5668579548313893
x5: 4.1567781010013714e-14
x6: 3.156852505420876e-14", "
Parameterization:
x1: 0.39612807790570537
x2: 0.8686199410621775
x3: 0.4575937767902797
x4: 0.6306929108480166
x5: 0.0
x6: 3.0617666063674186e-14", "
Parameterization:
x1: 0.4077836769973997
x2: 0.8621399321206178
x3: 0.5228708230436103
x4: 0.5664115601602521
x5: 2.218277644905342e-16
x6: 6.731504173344668e-16", "
Parameterization:
x1: 0.4052108559484285
x2: 0.8665501242754106
x3: 0.5427699091313345
x4: 0.5470667487084216
x5: 0.06213968420527007
x6: 1.7707961313740084e-13", "
Parameterization:
x1: 0.4048000035773154
x2: 0.8683068543448325
x3: 0.5468480684638933
x4: 0.5483254750288301
x5: 0.014735322723787239
x6: 0.05418824899853013" ], "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 ], "y": [ -0.06062986503313455, -0.06062986503313455, -0.06062986503313455, -0.2338851584153253, -0.2338851584153253, -0.2338851584153253, -0.2338851584153253, -0.2338851584153253, -0.27972767406019505, -0.27972767406019505, -0.29563436432653917, -0.30036248348738404, -0.5416193102480553, -0.8404367648315936, -1.1363967011431058, -1.3117252598601419, -2.168811308457226, -2.7080511108921055, -2.9969537426112614, -2.9969537426112614, -2.9969537426112614, -3.0004943801163484, -3.101607477541643, -3.101607477541643, -3.145943078062998 ] }, { "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 ], "y": [ -0.06062986503313455, -0.06062986503313455, -0.06062986503313455, -0.2338851584153253, -0.2338851584153253, -0.2338851584153253, -0.2338851584153253, -0.2338851584153253, -0.27972767406019505, -0.27972767406019505, -0.29563436432653917, -0.30036248348738404, -0.5416193102480553, -0.8404367648315936, -1.1363967011431058, -1.3117252598601419, -2.168811308457226, -2.7080511108921055, -2.9969537426112614, -2.9969537426112614, -2.9969537426112614, -3.0004943801163484, -3.101607477541643, -3.101607477541643, -3.145943078062998 ] }, { "line": { "color": "rgba(253,180,98,1)", "dash": "dash" }, "mode": "lines", "name": "Optimum", "type": "scatter", "x": [ 1, 25 ], "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 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 } }, "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": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "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": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "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 }, "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0.0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1.0, "#f0f921" ] ], "sequentialminus": [ [ 0.0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1.0, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Model performance vs. # of iterations" }, "xaxis": { "title": { "text": "Iteration" } }, "yaxis": { "title": { "text": "Hartmann6" } } } }, "text/html": [ "
\n", " \n", " \n", "
\n", " \n", "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "render(ax_client.get_optimization_trace(objective_optimum=hartmann6.fmin)) # Objective_optimum is optional." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 7. Save / reload optimization to JSON / SQL\n", "We can serialize the state of optimization to JSON and save it to a `.json` file or save it to the SQL backend. For the former:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:31:30] ax.service.ax_client: Saved JSON-serialized state of optimization to `ax_client_snapshot.json`.\n" ] } ], "source": [ "ax_client.save_to_json_file() # For custom filepath, pass `filepath` argument." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:31:31] ax.service.ax_client: Starting optimization with verbose logging. To disable logging, set the `verbose_logging` argument to `False`. Note that float values in the logs are rounded to 2 decimal points.\n" ] } ], "source": [ "restored_ax_client = AxClient.load_from_json_file() # For custom filepath, pass `filepath` argument." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To store state of optimization to an SQL backend, first follow [setup instructions](https://ax.dev/docs/storage.html#sql) on Ax website." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Having set up the SQL backend, pass `DBSettings` to `AxClient` on instantiation (note that `SQLAlchemy` dependency will have to be installed – for installation, refer to [optional dependencies](https://ax.dev/docs/installation.html#optional-dependencies) on Ax website):" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:31:31] ax.service.ax_client: Starting optimization with verbose logging. To disable logging, set the `verbose_logging` argument to `False`. Note that float values in the logs are rounded to 2 decimal points.\n" ] } ], "source": [ "from ax.storage.sqa_store.structs import DBSettings\n", "\n", "# URL is of the form \"dialect+driver://username:password@host:port/database\".\n", "db_settings = DBSettings(url=\"postgresql+psycopg2://sarah:c82i94d@ocalhost:5432/foobar\")\n", "# Instead of URL, can provide a `creator function`; can specify custom encoders/decoders if necessary.\n", "new_ax = AxClient(db_settings=db_settings)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When valid `DBSettings` are passed into `AxClient`, a unique experiment name is a required argument (`name`) to `ax_client.create_experiment`. The **state of the optimization is auto-saved** any time it changes (i.e. a new trial is added or completed, etc). \n", "\n", "To reload an optimization state later, instantiate `AxClient` with the same `DBSettings` and use `ax_client.load_experiment_from_database(experiment_name=\"my_experiment\")`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Special Cases" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Evaluation failure**: should any optimization iterations fail during evaluation, `log_trial_failure` will ensure that the same trial is not proposed again." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:31:32] ax.service.ax_client: Generated new trial 25 with parameters {'x1': 0.39, 'x2': 0.71, 'x3': 0.5, 'x4': 0.77, 'x5': 0.79, 'x6': 0.03}.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:31:32] ax.service.ax_client: Registered failure of trial 25.\n" ] } ], "source": [ "_, trial_index = ax_client.get_next_trial()\n", "ax_client.log_trial_failure(trial_index=trial_index)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Adding custom trials**: should there be need to evaluate a specific parameterization, `attach_trial` will add it to the experiment." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[INFO 12-26 23:31:32] ax.service.ax_client: Attached custom parameterization {'x1': 9.0, 'x2': 9.0, 'x3': 9.0, 'x4': 9.0, 'x5': 9.0, 'x6': 9.0} as trial 26.\n" ] }, { "data": { "text/plain": [ "({'x1': 9.0, 'x2': 9.0, 'x3': 9.0, 'x4': 9.0, 'x5': 9.0, 'x6': 9.0}, 26)" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ax_client.attach_trial(parameters={\"x1\": 9.0, \"x2\": 9.0, \"x3\": 9.0, \"x4\": 9.0, \"x5\": 9.0, \"x6\": 9.0})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Need to run many trials in parallel**: for optimal results and optimization efficiency, we strongly recommend sequential optimization (generating a few trials, then waiting for them to be completed with evaluation data). However, if your use case needs to dispatch many trials in parallel before they are updated with data and you are running into the *\"All trials for current model have been generated, but not enough data has been observed to fit next model\"* error, instantiate `AxClient` as `AxClient(enforce_sequential_optimization=False)`." ] } ], "metadata": { "bento_stylesheets": { "bento/extensions/flow/main.css": true, "bento/extensions/kernel_selector/main.css": true, "bento/extensions/kernel_ui/main.css": true, "bento/extensions/new_kernel/main.css": true, "bento/extensions/system_usage/main.css": true, "bento/extensions/theme/main.css": true }, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.7" } }, "nbformat": 4, "nbformat_minor": 2 }