plane.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Electric supersonic VTOL jet exploration\n",
    "\n",
    "The goal of this notebook is to explore a supersonic VTOL electric jet. By building a drag model and using different assumptions, we can explore what such an airplane might look like, and analyze what its range would be given different batteries and wing layouts. See [Elon Musk's thoughts](https://www.youtube.com/watch?v=RyS92KPQnjk) on electric jets.\n",
    "\n",
    "### Aircraft layout\n",
    "\n",
    "The aircraft could either be a conventional design (with a separate fuselage and wing) or a [blended wing body](https://en.wikipedia.org/wiki/Blended_wing_body). There would be many fans embedded in the wing that can be used for VTOL. A tail is not needed; the combination of swept wing tips and distributed propulsion would provide adequate control. The fuselage length is set equal to the \"total\" chord of the wing (from root leading edge to wingtip trailing edge).\n",
    "\n",
    "### VTOL\n",
    "\n",
    "Many small motors and fans could be used to provide improved reliability ([distributed propulsion](https://en.wikipedia.org/wiki/Distributed_propulsion)). Distributed electric propulsion enables VTOL, which eliminates the need for extremely large airport runways.\n",
    "\n",
    "During takeoff and landing, electric motors can run for short periods of time at a higher than nominal power. This would reduce the mass requirement of the motors required for VTOL. The primary engines, if they were able to gimbal, would also contribute vertical lift.\n",
    "\n",
    "### Flight engines\n",
    "\n",
    "The propulsion is assumed to be, effectively, electric compressors connected to a nozzle. Air is decelerated in an inlet which raises the pressure. A multi-stage axial compressor further raises the pressure, and the air is accelerated out of a nozzle (converging nozzle for subsonic flow, or converging-diverging nozzle for supersonic flow). The engines would be positioned along the trailing edge of the wing.\n",
    "\n",
    "Like the VTOL system, many smaller engines can be used to provide improved reliability. [Boundary layer ingestion](https://en.wikipedia.org/wiki/Boundary_layer#Boundary_layer_ingestion) may be feasible if many smaller engines (with smaller compressor diameters) are embedded in the trailing edge of the aircraft.\n",
    "\n",
    "\n",
    "## Model\n",
    "\n",
    "We build a drag model in this notebook that allows us to compute the drag of an aircraft with different paramters (wing area, aspect ratio, lift requirement, and so on). The drag model is based on the [incredible work of the late R.T. Jones](https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19760011971.pdf).\n",
    "\n",
    "The aircraft structural model is very simple: we simply assume a fixed mass of the aircraft (80% in this case) is used for batteries. 80% may seem high, but rockets often have a [propellant mass fraction](https://en.wikipedia.org/wiki/Propellant_mass_fraction) greater than 80%! Batteries allow us to do this more easily than fuel because batteries have a much higher density (2.5x) than rocket fuel, so the constraint would mostly be mass instead of volume.\n",
    "\n",
    "The propulsion model is also very simple: we assume that the main engines have a total efficiency of 72% and the VTOL fans have a total efficiency of 1%. While the VTOL efficiency may seem very low, remember that this is the total efficiency of converting the electrical energy in the batteries to gravitational potential energy. The majority of the energy is used for hovering and only a small proportion is used for movement.\n",
    "\n",
    "There are four stages of flight in the model: ascent, cruise, descent, and reserve. The reserve stage does not contribute to the total flight distance as it should only be used in emergencies.\n",
    "\n",
    "### Optimization\n",
    "\n",
    "Different parameters can be fed into the model to generate different aircraft performance. Here are all the parameters (SI units are used): battery_mass, wing_area, sweep_angle, climb_duration, climb_power, climb_airspeed, cruise_duration, cruise_power, descent_duration, descent_power, descent_airspeed, reserve_power, reserve_airspeed, battery_specific_energy, cruise_airspeed, and aspect_ratio.\n",
    "\n",
    "All of these parameters are allowed to vary within the optimization except for [battery specific energy](https://en.wikipedia.org/wiki/Specific_energy), [cruise airspeed](https://en.wikipedia.org/wiki/True_airspeed), and [aspect ratio](https://en.wikipedia.org/wiki/Aspect_ratio_(aeronautics)), which are fixed. Using various values for these fixed parameters, we can optimize the remaining parameters to find the optimal aircraft at different fixed parameter values.\n",
    "\n",
    "Differential evolution (from [scipy](https://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.differential_evolution.html)) is used as the optimization technique to maximize aircraft range over the floating variables.\n",
    "\n",
    "After optimizing different aircraft, we regress the range versus battery specific energy for different aspect ratios and airspeeds. This lets us see the required battery specific energy needed to achieve a given range at different aspect ratios and airspeeds. Since battery specific energy is projected to grow around 5-10% per year, we could use this to predict when a VTOL electric jet (both subsonic and supersonic) will be viable."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "from numba import jit\n",
    "from scipy import optimize, interpolate\n",
    "from labellines import labelLines\n",
    "\n",
    "pd.set_option('max_columns', 99)\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "R = 8314.46 # J/(kmol*K)\n",
    "gamma = 1.40 # air\n",
    "M = 28.895 # kg/kmol, air\n",
    "gravitational_constant = 6.674e-11\n",
    "earth_mass = 5.972e24 # kg\n",
    "earth_radius = 6375000 # m\n",
    "atm_data = pd.read_csv('st_atm_1976.csv', index_col='Altitude [m]').values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "@jit\n",
    "def atmosphere(altitude):\n",
    "    # Returns temp, pressure, density, speed of sound, and dynamic viscosity\n",
    "    altitude = max(0, altitude)\n",
    "    altitude = min(altitude, 50000)\n",
    "    return atm_data[int(round(altitude, -2) / 100)]\n",
    "\n",
    "T_ground, P_ground, rho_ground, c_ground, u_ground = atmosphere(0)\n",
    "\n",
    "\n",
    "@jit\n",
    "def swept_wing(Cl, wing_area, aspect_ratio, sweep_angle, Ma):\n",
    "\n",
    "    \"\"\"\n",
    "    Compute the coefficient of drag of the given wing.\n",
    "    Induced drag is derived from \"Three-dimensional wings of minimum pressure drag\" by\n",
    "    Robert T. Jones. This material can be found at\n",
    "    https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19760011971.pdf page 661\n",
    "    The wing is treated as a yawed ellipse. See diagram in paper for variables.\n",
    "    \"\"\"\n",
    "\n",
    "    psi = np.pi / 2 - sweep_angle\n",
    "    a_prime = 2 * np.sqrt(wing_area) / (np.pi * np.sqrt(aspect_ratio))\n",
    "    b_prime = np.sqrt(wing_area * aspect_ratio) / 2\n",
    "\n",
    "    # Solve for b given a', b', and angle of yaw\n",
    "    # http://bit.ly/2lY0T04, 4th solution\n",
    "    if b_prime**2 - 4 * a_prime**2 * np.sin(psi)**2 * np.cos(psi)**2 > 0:\n",
    "        within = b_prime ** 2 + np.sqrt(b_prime ** 2 * (b_prime**2 - 4 * a_prime**2 * np.sin(psi)**2 * np.cos(psi)**2))\n",
    "        b = np.sqrt((1 / np.sin(psi))**2 * within) / np.sqrt(2)\n",
    "    else:\n",
    "        return 1e50, 1, 1, 1\n",
    "\n",
    "    a = a_prime * b_prime / b\n",
    "    wingspan = b_prime * 2 * np.sin(psi)\n",
    "\n",
    "    # Subsonic induced drag\n",
    "    # http://www.fzt.haw-hamburg.de/pers/Scholz/OPerA/OPerA_PUB_DLRK_12-09-10.pdf\n",
    "    if sweep_angle > np.pi / 6: # > 30 degrees, swept wing (Raymer)\n",
    "        e = 4.61 * (1 - 0.045 * aspect_ratio ** 0.68) * np.cos(sweep_angle) ** 0.15 - 3.1\n",
    "    else: # Unswept wing (Raymer)\n",
    "        e = 1.78 * (1 - 0.045 * aspect_ratio ** 0.68) - 0.64\n",
    "    if e < 0:\n",
    "        return 1e50, 1, 1, 1\n",
    "\n",
    "    Cd_Cl2 = 1 / (np.pi * e * aspect_ratio)\n",
    "    \n",
    "    # Karman-Tsien compressibility correction\n",
    "    beta = np.sqrt(np.abs(1 - Ma ** 2))\n",
    "    Cd_Cl2 = Cd_Cl2 / (beta + Ma ** 2 / (1 + beta) * Cd_Cl2 / 2)\n",
    "\n",
    "    # Supersonic pressure drag\n",
    "    if Ma > 1:\n",
    "        m = (b ** 2 - a ** 2) * np.sin(psi) * np.cos(psi) / b_prime ** 2\n",
    "\n",
    "        # There is a mistake in Jones' formula, a and b should be primed\n",
    "        Cd_Cl2 += 1 / 4 * np.sqrt(Ma ** 2 - 1 - (m + 1j * a_prime / b_prime) ** 2).real\n",
    "\n",
    "    Cd = Cd_Cl2 * Cl ** 2\n",
    "\n",
    "    min_wing_dimension = min(a, b)\n",
    "\n",
    "    # The *total* aircraft length from nose to trailing edge\n",
    "    aircraft_length = b_prime * np.cos(psi) + a_prime / np.cos(sweep_angle)\n",
    "\n",
    "    return Cd, min_wing_dimension, aircraft_length, wingspan\n",
    "\n",
    "\n",
    "@jit\n",
    "def compute_drag(rho=0, v=0, c=0, L=0, dynamic_viscosity=0, T=0,\n",
    "                 wing_area=0, sweep_angle=0, aspect_ratio=0, fuselage_diameter=2.0):\n",
    "    \"\"\"\n",
    "    Compute drag on a subsonic or supersonic plane. We assume here that the\n",
    "    fuselage length is equal to the wing root chord, which creates the blended\n",
    "    wing body.\n",
    "    \"\"\"\n",
    "\n",
    "    Ma = v / c # Mach number\n",
    "\n",
    "    ## Lift induced drag\n",
    "    Cl = 2 * L / (wing_area * rho * v ** 2) # Calculate required Cl\n",
    "    Cd, min_wing_dimension, aircraft_length, wingspan = swept_wing(Cl, wing_area, aspect_ratio, sweep_angle, Ma)\n",
    "    induced_drag = 0.5 * Cd * wing_area * rho * v ** 2\n",
    "    \n",
    "    ## Profile wave drag\n",
    "    if Ma > 1:\n",
    "        Cd_wave = 9 / 2 * np.pi ** 2 * (fuselage_diameter / aircraft_length) ** 2 # Sears-Haack body\n",
    "        Cd_wave *= 1.05 # Sears-Haack imperfection scaling\n",
    "        wave_drag_profile = Cd_wave * np.pi * fuselage_diameter ** 2 * 0.5 * rho * v ** 2\n",
    "    else:\n",
    "        wave_drag_profile = 0\n",
    "\n",
    "    ## Skin friction drag\n",
    "    # http://mail.tku.edu.tw/095980/drag.pdf\n",
    "    # Assume boundary layer is turbulent, which also leads to pressure drag being negligible\n",
    "    Re = v * aircraft_length * rho / dynamic_viscosity\n",
    "    Twall = T * (1 + 0.178 * Ma**2)\n",
    "    Tprime = T * (1 + 0.035 * Ma**2 + 0.45 * (Twall / T - 1))\n",
    "    Reprime = Re * (((T + 120) / (Tprime + 120)) * (T / Tprime) ** 1.5)\n",
    "    Cfprime = 0.455 / np.log10(Reprime) ** 2.58\n",
    "    Cfprime = Cfprime * 1.05 # Roughness and gap scaling\n",
    "    Cf = T / Tprime * Cfprime\n",
    "\n",
    "    # The fuseslage length is equal to the aircraft_length\n",
    "    S_body = 16 / 5 * 0.25349 * aircraft_length * fuselage_diameter * np.pi ** (3 / 2) # http://bit.ly/2gugQof\n",
    "    S_wing = (wing_area - fuselage_diameter * aircraft_length) * 2\n",
    "    S_total = S_body + S_wing\n",
    "\n",
    "    parasitic_drag = 0.5 * Cf * S_total * rho * v**2\n",
    "\n",
    "    total_drag = wave_drag_profile + induced_drag + parasitic_drag\n",
    "\n",
    "    return total_drag, aircraft_length, wingspan\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Drag test\n",
    "\n",
    "Show sample drag based off of our drag model. We should expect a spike around Mach 1, where drag is highest."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Ma = np.arange(100, 600) / 200\n",
    "dr = []\n",
    "for i in Ma:\n",
    "    v = i * 295.07\n",
    "    d = compute_drag(rho=0.1151, v=v, c=295.07, L=1.5e6, dynamic_viscosity=0.000014,\n",
    "                     T=216.65, wing_area=418.25,\n",
    "                     sweep_angle=np.pi/3, aspect_ratio=1.55)[0]\n",
    "    dr.append(d)\n",
    "\n",
    "plt.plot(Ma, dr)\n",
    "plt.title('Drag vs. Mach number')\n",
    "plt.xlabel('M')\n",
    "plt.ylabel('drag, N');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Model settings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "battery_cell_mass_fraction = 0.8 # 80% of the aircraft in mass is batteries\n",
    "vtol_wingfan_efficiency = 0.01 # Efficiency is extremely low, because most energy is used for hover\n",
    "engine_efficiency = 0.72 # ~85% propulsive efficiency * ~85% compressor efficiency = ~72% efficiency\n",
    "\n",
    "battery_usage_fraction = 0.92 # Only use 92% of battery to improve cycle life\n",
    "vtol_altitude = 50.0 # VTOL gets us up to 50 meters\n",
    "\n",
    "# As defined by https://www.law.cornell.edu/cfr/text/14/121.645\n",
    "# We use 45 instead of 30 b/c flight to alternate airport ~= 15 mins\n",
    "reserve_duration = 45 * 60 # seconds of holding for compliance (30 minutes reserve + 15 minutes for diversion)\n",
    "reserve_altitude = 450 # m, holding altitude\n",
    "\n",
    "# Require a certain cruising altitude; flying too low causes too much noise from sonic booms\n",
    "min_cruising_altitude = 15000\n",
    "\n",
    "dt = 30.0 # seconds\n",
    "\n",
    "bounds = {\n",
    "    'battery_mass': (1, 100000),\n",
    "    'wing_area': (1, 400),\n",
    "    'sweep_angle': (0.001, np.pi/2 * 0.99),\n",
    "    'climb_duration': (5 * 60, 20 * 60),\n",
    "    'climb_power': (1, 10e8),\n",
    "    'climb_airspeed': (50, 500),\n",
    "    'cruise_duration': (1 * 60, 600 * 60),\n",
    "    'cruise_power': (1, 10e8),\n",
    "    'descent_duration': (5 * 60, 20 * 60),\n",
    "    'descent_power': (1, 10e8),\n",
    "    'descent_airspeed': (50, 500),\n",
    "    'reserve_power': (1, 10e8),\n",
    "    'reserve_airspeed': (10, 300),\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Given a plane, output the performance of that plane"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "@jit\n",
    "def compute_flight(battery_mass, wing_area, sweep_angle,\n",
    "                   climb_duration, climb_power, climb_airspeed,\n",
    "                   cruise_duration, cruise_power,\n",
    "                   descent_duration, descent_power, descent_airspeed,\n",
    "                   reserve_power, reserve_airspeed,\n",
    "                   battery_specific_energy, cruise_airspeed, aspect_ratio):\n",
    "\n",
    "    total_mass = battery_mass / battery_cell_mass_fraction # kg\n",
    "    max_battery_energy = battery_mass * battery_specific_energy * 3600 * battery_usage_fraction # J\n",
    "\n",
    "    # VTOL energy\n",
    "    vtol_takeoff_energy = total_mass * 9.81 * vtol_altitude * vtol_wingfan_efficiency\n",
    "    vtol_landing_energy = total_mass * 9.81 * vtol_altitude * vtol_wingfan_efficiency\n",
    "\n",
    "    # Number of time steps\n",
    "    nt = int((climb_duration + cruise_duration + descent_duration + reserve_duration) / dt)\n",
    "\n",
    "    # Initialize variables\n",
    "    t = 0\n",
    "    battery_starting_energy = max_battery_energy - vtol_takeoff_energy - vtol_landing_energy\n",
    "    battery_energy = battery_starting_energy\n",
    "    altitude = vtol_altitude\n",
    "    distance = 0.0\n",
    "    prev_kinetic_energy = 0.0\n",
    "    cruise_ending_distance = 0.0\n",
    "    climb_ending_distance = 0.0\n",
    "    cruise_ending_distance = 0.0\n",
    "    climb_ending_distance = 0.0\n",
    "    altitude_store = np.empty(nt)\n",
    "\n",
    "    # Iterate over each time step\n",
    "    for i in range(nt):\n",
    "        t += dt\n",
    "\n",
    "        if t < climb_duration:\n",
    "            engine_power_t = climb_power\n",
    "            true_airspeed_t = climb_airspeed\n",
    "            climb_ending_distance = distance\n",
    "            climb_ending_altitude = altitude\n",
    "        elif t < (climb_duration + cruise_duration):\n",
    "            engine_power_t = cruise_power\n",
    "            true_airspeed_t = cruise_airspeed\n",
    "            cruise_ending_distance = distance\n",
    "            cruise_ending_altitude = altitude\n",
    "        elif t < (climb_duration + cruise_duration + descent_duration):\n",
    "            engine_power_t = descent_power\n",
    "            true_airspeed_t = descent_airspeed\n",
    "            descent_ending_distance = distance\n",
    "            descent_ending_altitude = altitude\n",
    "        elif t < (climb_duration + cruise_duration + descent_duration + reserve_duration):\n",
    "            engine_power_t = reserve_power\n",
    "            true_airspeed_t = reserve_airspeed\n",
    "\n",
    "        T, P, rho, c, u = atmosphere(altitude)\n",
    "\n",
    "        # Thrust is simply defined by mechanical work and efficiency\n",
    "        thrust_t = engine_power_t * engine_efficiency / true_airspeed_t\n",
    "\n",
    "        # There is a slight outward acceleration due to centrifugal force (like a satellite)\n",
    "        lift_t = total_mass * gravitational_constant * earth_mass / (earth_radius + altitude) ** 2\n",
    "        lift_t -= total_mass * true_airspeed_t ** 2 / (earth_radius + altitude)\n",
    "\n",
    "        drag_t, aircraft_length, wingspan = compute_drag(rho=rho, v=true_airspeed_t, c=c, L=lift_t,\n",
    "                                                         dynamic_viscosity=u, T=T, wing_area=wing_area,\n",
    "                                                         sweep_angle=sweep_angle, aspect_ratio=aspect_ratio)\n",
    "\n",
    "        # Compute the change in altitude of the airplane in the current time step\n",
    "        # https://en.wikipedia.org/wiki/Lift-to-drag_ratio\n",
    "        # Get the climb angle from the free body diagram of a climbing plane \n",
    "        # drag * cos(theta) + lift * sin(theta) = thrust * cos(theta), solve for theta, then get vertical speed\n",
    "        angle_of_climb = np.arctan((thrust_t - drag_t) / lift_t)\n",
    "        vertical_airspeed = true_airspeed_t * np.sin(angle_of_climb) # Vertical true airspeed\n",
    "        altitude_delta = vertical_airspeed * dt\n",
    "\n",
    "        battery_energy -= engine_power_t * dt\n",
    "\n",
    "        # Account for extra power delta of acceleration/deceleration\n",
    "        kinetic_energy = 0.5 * total_mass * true_airspeed_t ** 2\n",
    "        battery_energy -= (kinetic_energy - prev_kinetic_energy) / engine_efficiency\n",
    "        prev_kinetic_energy = kinetic_energy\n",
    "\n",
    "        altitude += altitude_delta\n",
    "        distance += true_airspeed_t * np.cos(angle_of_climb) * dt\n",
    "\n",
    "        altitude_store[i] = altitude\n",
    "        \n",
    "        engine_power_t = None\n",
    "        true_airspeed_t = None\n",
    "\n",
    "    # All of these objectives have to be met for the aircraft to be valid\n",
    "    objectives = np.array([\n",
    "        descent_ending_altitude / vtol_altitude - 1, # Descent ending altitude > starting altitude\n",
    "        min(altitude_store) / vtol_altitude - 1, # Min altitude > starting altitude\n",
    "        battery_energy / max_battery_energy,\n",
    "        climb_ending_altitude / min_cruising_altitude - 1,\n",
    "        cruise_ending_altitude / min_cruising_altitude - 1,\n",
    "        altitude / reserve_altitude - 1, # Reserve end altitude > required reserve altitude\n",
    "    ])\n",
    "\n",
    "    # If all of the objectives are met, then the loss is given as a function of the range\n",
    "    # If the objectives are not met, then our loss is based on the objectives\n",
    "    if np.all(objectives >= 0):\n",
    "        loss = -1 * np.power(descent_ending_distance, 2)\n",
    "    else:\n",
    "        loss = np.sqrt(np.array([np.abs(min(x, 0)) ** 2 for x in objectives]).sum())\n",
    "\n",
    "    # Return interesting outputs\n",
    "    result = {\n",
    "        'descent_end_altitude_rel': objectives[0],\n",
    "        'min_altitude_rel': objectives[1],\n",
    "        'battery_energy_remaining': objectives[2],\n",
    "        'reserve_altitude_rel': objectives[5],\n",
    "        'flight_energy_frac': battery_starting_energy / max_battery_energy,\n",
    "        'aircraft_length': aircraft_length,\n",
    "        'wingspan': wingspan,\n",
    "        'climb_ending_distance': climb_ending_distance,\n",
    "        'cruise_ending_distance': cruise_ending_distance,\n",
    "        'total_distance': descent_ending_distance,\n",
    "        'reserve_ending_distance': distance,\n",
    "        'climb_ending_altitude': climb_ending_altitude,\n",
    "        'cruise_ending_altitude': cruise_ending_altitude,\n",
    "        'descent_ending_altitude': descent_ending_altitude,\n",
    "        'reserve_ending_altitude': altitude,\n",
    "        'loss': loss,\n",
    "    }\n",
    "\n",
    "    return result\n",
    "\n",
    "\n",
    "def compute_flight_opt(x, *args):\n",
    "    # Wrapper function for optimization\n",
    "    return compute_flight(*x, *args)['loss']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Optimize plane for range\n",
    "\n",
    "The plane is optimized at different airspeed, aspect ratio, and battery specific energy combinations. We can then interpolate range versus battery specific energy at different airspeeds and aspect ratios to generate plots of range vs. battery specific energy."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "specific_energies = [200, 400, 600, 800, 1000, 1300, 1600, 2000]\n",
    "\n",
    "configurations = [\n",
    "    {'cruise_airspeed': 250, 'aspect_ratio': 12.0, 'battery_specific_energy': specific_energies},\n",
    "    {'cruise_airspeed': 250, 'aspect_ratio': 6.0, 'battery_specific_energy': specific_energies},\n",
    "    {'cruise_airspeed': 250, 'aspect_ratio': 2.0, 'battery_specific_energy': specific_energies},\n",
    "    {'cruise_airspeed': 700, 'aspect_ratio': 6.0, 'battery_specific_energy': specific_energies},\n",
    "    {'cruise_airspeed': 700, 'aspect_ratio': 2.0, 'battery_specific_energy': specific_energies},\n",
    "    {'cruise_airspeed': 700, 'aspect_ratio': 12.0, 'battery_specific_energy': specific_energies},\n",
    "]\n",
    "\n",
    "plane_samples = {}\n",
    "\n",
    "for configuration in configurations:\n",
    "    cruise_airspeed = configuration['cruise_airspeed']\n",
    "    aspect_ratio = configuration['aspect_ratio']\n",
    "\n",
    "    for battery_specific_energy in configuration['battery_specific_energy']:\n",
    "        args = (battery_specific_energy, cruise_airspeed, aspect_ratio)\n",
    "\n",
    "        o = optimize.differential_evolution(compute_flight_opt, popsize=200, strategy='randtobest1bin',\n",
    "                                            maxiter=5000, tol=0.00001, bounds=[bounds[b] for b in bounds.keys()],\n",
    "                                            args=args, init='random', updating='deferred', workers=2)\n",
    "\n",
    "        plane_samples[args] = compute_flight(*o.x, *args)\n",
    "        plane_samples[args].update(dict(zip(bounds.keys(), o.x)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot range vs. battery specific energy at different airspeeds and aspect ratios:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(14, 10))\n",
    "plt.title('Electric VTOL jet range vs. battery specific energy', fontsize=15)\n",
    "plt.ylabel('Range (km)', fontsize=13)\n",
    "plt.xlabel('Battery specific energy (Wh/kg)', fontsize=13)\n",
    "plt.xlim(200, 2000)\n",
    "plt.ylim(0, 8000)\n",
    "\n",
    "plot_specific_densities = np.arange(200, 2000)\n",
    "\n",
    "for configuration in configurations:\n",
    "    cruise_airspeed = configuration['cruise_airspeed']\n",
    "    aspect_ratio = configuration['aspect_ratio']\n",
    "    batteries = configuration['battery_specific_energy']\n",
    "\n",
    "    distances = [plane_samples[(b, cruise_airspeed, aspect_ratio)]['total_distance'] / 1000 for b in batteries]\n",
    "\n",
    "    c, b, a = np.polyfit(batteries, distances, deg=2)\n",
    "    reg_range = a + b * plot_specific_densities + c * plot_specific_densities ** 2\n",
    "\n",
    "    plt.plot(\n",
    "        plot_specific_densities, reg_range,\n",
    "        label=f\"{cruise_airspeed} m/s, AR = {aspect_ratio}\",\n",
    "    )\n",
    "\n",
    "labelLines(plt.gca().get_lines(), xvals=(1100, 1600), fontsize=12)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As expected, we find lower airspeeds and higher aspect ratios lead to better results. With current batteries, which are around 300 Wh/kg, we can achieve around a 1400 km range under our assumptions with a low airspeed, high aspect ratio aircraft.\n",
    "\n",
    "The lower range of the 700 m/s aircraft with an aspect ratio of 12 shows that increasing aspect ratio only helps up to a point in supersonic flight. [This answer](https://aviation.stackexchange.com/questions/36761/why-does-the-aspect-ratio-of-a-wing-become-less-important-at-supersonic-speeds) gives an overview of why that is the case. In supersonic flight, the large aspect ratio wing has a higher range for lower battery specific energies because in this case the aircraft spends less time in cruise, and more time in subsonic ascent/descent where having a high aspect ratio wing is helpful.\n",
    "\n",
    "It is clear that subsonic (250 m/s) electric aircraft will be viable before supersonic (700 m/s) electric aircraft. Supersonic VTOL electric aircraft may become viable somewhere around a battery specific energy of 1500 Wh/kg."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Raw aircraft data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th>aircraft_length</th>\n",
       "      <th>battery_energy_remaining</th>\n",
       "      <th>battery_mass</th>\n",
       "      <th>climb_airspeed</th>\n",
       "      <th>climb_duration</th>\n",
       "      <th>climb_ending_altitude</th>\n",
       "      <th>climb_ending_distance</th>\n",
       "      <th>climb_power</th>\n",
       "      <th>cruise_duration</th>\n",
       "      <th>cruise_ending_altitude</th>\n",
       "      <th>cruise_ending_distance</th>\n",
       "      <th>cruise_power</th>\n",
       "      <th>descent_airspeed</th>\n",
       "      <th>descent_duration</th>\n",
       "      <th>descent_end_altitude_rel</th>\n",
       "      <th>descent_ending_altitude</th>\n",
       "      <th>descent_power</th>\n",
       "      <th>flight_energy_frac</th>\n",
       "      <th>loss</th>\n",
       "      <th>min_altitude_rel</th>\n",
       "      <th>reserve_airspeed</th>\n",
       "      <th>reserve_altitude_rel</th>\n",
       "      <th>reserve_ending_altitude</th>\n",
       "      <th>reserve_ending_distance</th>\n",
       "      <th>reserve_power</th>\n",
       "      <th>sweep_angle</th>\n",
       "      <th>total_distance</th>\n",
       "      <th>wing_area</th>\n",
       "      <th>wingspan</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>battery_specific_energy</th>\n",
       "      <th>airspeed</th>\n",
       "      <th>aspect_ratio</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>200</th>\n",
       "      <th>250</th>\n",
       "      <th>12.0</th>\n",
       "      <td>21.551184</td>\n",
       "      <td>2.142885e-07</td>\n",
       "      <td>48682.411079</td>\n",
       "      <td>134.297182</td>\n",
       "      <td>1197.451507</td>\n",
       "      <td>15000.298113</td>\n",
       "      <td>152366.158357</td>\n",
       "      <td>1.454010e+07</td>\n",
       "      <td>1971.483118</td>\n",
       "      <td>15000.012916</td>\n",
       "      <td>6.438792e+05</td>\n",
       "      <td>7.586958e+06</td>\n",
       "      <td>192.900830</td>\n",
       "      <td>1191.032295</td>\n",
       "      <td>146.709192</td>\n",
       "      <td>7385.459579</td>\n",
       "      <td>3.491761e+02</td>\n",
       "      <td>0.999981</td>\n",
       "      <td>-7.690314e+11</td>\n",
       "      <td>7.326053</td>\n",
       "      <td>70.769708</td>\n",
       "      <td>9.409761e-05</td>\n",
       "      <td>450.042344</td>\n",
       "      <td>1.073685e+06</td>\n",
       "      <td>1.715637e+02</td>\n",
       "      <td>0.523202</td>\n",
       "      <td>8.769443e+05</td>\n",
       "      <td>399.978968</td>\n",
       "      <td>60.012176</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>400</th>\n",
       "      <th>250</th>\n",
       "      <th>12.0</th>\n",
       "      <td>21.563016</td>\n",
       "      <td>4.804073e-06</td>\n",
       "      <td>50527.068277</td>\n",
       "      <td>136.079867</td>\n",
       "      <td>1196.773184</td>\n",
       "      <td>15000.007241</td>\n",
       "      <td>154408.070183</td>\n",
       "      <td>1.513885e+07</td>\n",
       "      <td>6148.465252</td>\n",
       "      <td>15001.234958</td>\n",
       "      <td>1.688475e+06</td>\n",
       "      <td>7.966515e+06</td>\n",
       "      <td>191.986476</td>\n",
       "      <td>1196.156859</td>\n",
       "      <td>149.719400</td>\n",
       "      <td>7535.970017</td>\n",
       "      <td>3.148705e+02</td>\n",
       "      <td>0.999991</td>\n",
       "      <td>-3.688224e+12</td>\n",
       "      <td>7.347408</td>\n",
       "      <td>72.357622</td>\n",
       "      <td>5.948009e-04</td>\n",
       "      <td>450.267660</td>\n",
       "      <td>2.121473e+06</td>\n",
       "      <td>2.914363e+02</td>\n",
       "      <td>0.523562</td>\n",
       "      <td>1.920475e+06</td>\n",
       "      <td>399.984337</td>\n",
       "      <td>60.000108</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>600</th>\n",
       "      <th>250</th>\n",
       "      <th>12.0</th>\n",
       "      <td>21.563213</td>\n",
       "      <td>4.707201e-07</td>\n",
       "      <td>51815.656252</td>\n",
       "      <td>138.571984</td>\n",
       "      <td>1189.570352</td>\n",
       "      <td>15000.972749</td>\n",
       "      <td>157262.015563</td>\n",
       "      <td>1.560134e+07</td>\n",
       "      <td>10320.719350</td>\n",
       "      <td>15000.222655</td>\n",
       "      <td>2.733904e+06</td>\n",
       "      <td>8.184702e+06</td>\n",
       "      <td>191.100091</td>\n",
       "      <td>1193.881159</td>\n",
       "      <td>151.721817</td>\n",
       "      <td>7636.090826</td>\n",
       "      <td>6.471690e+02</td>\n",
       "      <td>0.999994</td>\n",
       "      <td>-8.790452e+12</td>\n",
       "      <td>7.323282</td>\n",
       "      <td>73.850696</td>\n",
       "      <td>2.566333e-03</td>\n",
       "      <td>451.154850</td>\n",
       "      <td>3.169872e+06</td>\n",
       "      <td>5.984925e+02</td>\n",
       "      <td>0.523579</td>\n",
       "      <td>2.964870e+06</td>\n",
       "      <td>399.970787</td>\n",
       "      <td>59.998492</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>800</th>\n",
       "      <th>250</th>\n",
       "      <th>12.0</th>\n",
       "      <td>21.557520</td>\n",
       "      <td>5.311135e-06</td>\n",
       "      <td>51925.699925</td>\n",
       "      <td>140.500293</td>\n",
       "      <td>1183.749808</td>\n",
       "      <td>15000.290793</td>\n",
       "      <td>159470.102011</td>\n",
       "      <td>1.570222e+07</td>\n",
       "      <td>14491.963037</td>\n",
       "      <td>15000.745342</td>\n",
       "      <td>3.778670e+06</td>\n",
       "      <td>8.209618e+06</td>\n",
       "      <td>191.125696</td>\n",
       "      <td>1188.071906</td>\n",
       "      <td>151.902844</td>\n",
       "      <td>7645.142197</td>\n",
       "      <td>4.380534e+03</td>\n",
       "      <td>0.999995</td>\n",
       "      <td>-1.607742e+13</td>\n",
       "      <td>7.268861</td>\n",
       "      <td>73.715865</td>\n",
       "      <td>7.531302e-04</td>\n",
       "      <td>450.338909</td>\n",
       "      <td>4.214304e+06</td>\n",
       "      <td>6.686136e+02</td>\n",
       "      <td>0.523386</td>\n",
       "      <td>4.009666e+06</td>\n",
       "      <td>399.992204</td>\n",
       "      <td>60.006789</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1000</th>\n",
       "      <th>250</th>\n",
       "      <th>12.0</th>\n",
       "      <td>21.560352</td>\n",
       "      <td>7.832122e-06</td>\n",
       "      <td>51952.469108</td>\n",
       "      <td>136.548193</td>\n",
       "      <td>1182.478485</td>\n",
       "      <td>15000.410255</td>\n",
       "      <td>154944.388863</td>\n",
       "      <td>1.557482e+07</td>\n",
       "      <td>18700.889382</td>\n",
       "      <td>15000.134534</td>\n",
       "      <td>4.824026e+06</td>\n",
       "      <td>8.217703e+06</td>\n",
       "      <td>191.088606</td>\n",
       "      <td>1186.382013</td>\n",
       "      <td>151.905640</td>\n",
       "      <td>7645.282011</td>\n",
       "      <td>2.664236e+03</td>\n",
       "      <td>0.999996</td>\n",
       "      <td>-2.555280e+13</td>\n",
       "      <td>7.390379</td>\n",
       "      <td>73.814520</td>\n",
       "      <td>5.445675e-03</td>\n",
       "      <td>452.450554</td>\n",
       "      <td>5.259882e+06</td>\n",
       "      <td>1.579703e+03</td>\n",
       "      <td>0.523472</td>\n",
       "      <td>5.054978e+06</td>\n",
       "      <td>399.993218</td>\n",
       "      <td>60.003872</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1300</th>\n",
       "      <th>250</th>\n",
       "      <th>12.0</th>\n",
       "      <td>21.563421</td>\n",
       "      <td>3.892307e-07</td>\n",
       "      <td>52629.031256</td>\n",
       "      <td>138.333226</td>\n",
       "      <td>1178.799209</td>\n",
       "      <td>15000.010925</td>\n",
       "      <td>156988.690659</td>\n",
       "      <td>1.583257e+07</td>\n",
       "      <td>24975.793200</td>\n",
       "      <td>15000.443622</td>\n",
       "      <td>6.393624e+06</td>\n",
       "      <td>8.326073e+06</td>\n",
       "      <td>190.393847</td>\n",
       "      <td>1194.943168</td>\n",
       "      <td>153.041411</td>\n",
       "      <td>7702.070534</td>\n",
       "      <td>9.963302e+02</td>\n",
       "      <td>0.999997</td>\n",
       "      <td>-4.387426e+13</td>\n",
       "      <td>7.362315</td>\n",
       "      <td>74.485378</td>\n",
       "      <td>4.853473e-06</td>\n",
       "      <td>450.002184</td>\n",
       "      <td>6.830458e+06</td>\n",
       "      <td>4.687005e+02</td>\n",
       "      <td>0.523566</td>\n",
       "      <td>6.623765e+06</td>\n",
       "      <td>399.994191</td>\n",
       "      <td>60.000698</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1600</th>\n",
       "      <th>250</th>\n",
       "      <th>12.0</th>\n",
       "      <td>21.556702</td>\n",
       "      <td>4.835372e-06</td>\n",
       "      <td>52907.600112</td>\n",
       "      <td>139.490228</td>\n",
       "      <td>1180.488207</td>\n",
       "      <td>15000.633759</td>\n",
       "      <td>158313.525909</td>\n",
       "      <td>1.595507e+07</td>\n",
       "      <td>31238.879870</td>\n",
       "      <td>15000.232604</td>\n",
       "      <td>7.962483e+06</td>\n",
       "      <td>8.371014e+06</td>\n",
       "      <td>190.377097</td>\n",
       "      <td>1198.665668</td>\n",
       "      <td>153.336011</td>\n",
       "      <td>7716.800526</td>\n",
       "      <td>6.490366e+03</td>\n",
       "      <td>0.999998</td>\n",
       "      <td>-6.711878e+13</td>\n",
       "      <td>7.338683</td>\n",
       "      <td>74.333542</td>\n",
       "      <td>1.403066e-03</td>\n",
       "      <td>450.631380</td>\n",
       "      <td>8.398887e+06</td>\n",
       "      <td>3.777457e+03</td>\n",
       "      <td>0.523358</td>\n",
       "      <td>8.192605e+06</td>\n",
       "      <td>399.995597</td>\n",
       "      <td>60.008015</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000</th>\n",
       "      <th>250</th>\n",
       "      <th>12.0</th>\n",
       "      <td>21.553486</td>\n",
       "      <td>2.446656e-06</td>\n",
       "      <td>58437.200953</td>\n",
       "      <td>286.505432</td>\n",
       "      <td>1194.118796</td>\n",
       "      <td>15005.397183</td>\n",
       "      <td>326198.019958</td>\n",
       "      <td>3.589226e+07</td>\n",
       "      <td>35992.590916</td>\n",
       "      <td>15004.643107</td>\n",
       "      <td>9.327271e+06</td>\n",
       "      <td>9.284876e+06</td>\n",
       "      <td>283.752854</td>\n",
       "      <td>1189.799713</td>\n",
       "      <td>161.163188</td>\n",
       "      <td>8108.159376</td>\n",
       "      <td>8.688509e+06</td>\n",
       "      <td>0.999998</td>\n",
       "      <td>-9.344488e+13</td>\n",
       "      <td>2.124307</td>\n",
       "      <td>78.909379</td>\n",
       "      <td>2.083037e-03</td>\n",
       "      <td>450.937366</td>\n",
       "      <td>9.888122e+06</td>\n",
       "      <td>3.510764e+04</td>\n",
       "      <td>0.523260</td>\n",
       "      <td>9.666689e+06</td>\n",
       "      <td>399.993895</td>\n",
       "      <td>60.011269</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>200</th>\n",
       "      <th>250</th>\n",
       "      <th>6.0</th>\n",
       "      <td>18.175305</td>\n",
       "      <td>1.164178e-07</td>\n",
       "      <td>34547.697868</td>\n",
       "      <td>125.960031</td>\n",
       "      <td>1176.245281</td>\n",
       "      <td>15020.952035</td>\n",
       "      <td>142810.459748</td>\n",
       "      <td>1.084324e+07</td>\n",
       "      <td>1335.701644</td>\n",
       "      <td>15042.464953</td>\n",
       "      <td>4.690730e+05</td>\n",
       "      <td>6.922738e+06</td>\n",
       "      <td>165.087835</td>\n",
       "      <td>1190.349157</td>\n",
       "      <td>142.472822</td>\n",
       "      <td>7173.641094</td>\n",
       "      <td>5.540572e+03</td>\n",
       "      <td>0.999981</td>\n",
       "      <td>-4.483180e+11</td>\n",
       "      <td>7.272244</td>\n",
       "      <td>67.866197</td>\n",
       "      <td>9.695985e-04</td>\n",
       "      <td>450.436319</td>\n",
       "      <td>8.576342e+05</td>\n",
       "      <td>3.387359e+05</td>\n",
       "      <td>0.520619</td>\n",
       "      <td>6.695656e+05</td>\n",
       "      <td>399.968889</td>\n",
       "      <td>42.497554</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>400</th>\n",
       "      <th>250</th>\n",
       "      <th>6.0</th>\n",
       "      <td>18.244702</td>\n",
       "      <td>5.022659e-06</td>\n",
       "      <td>39265.815280</td>\n",
       "      <td>134.960498</td>\n",
       "      <td>1183.566735</td>\n",
       "      <td>15000.856878</td>\n",
       "      <td>153125.316287</td>\n",
       "      <td>1.256226e+07</td>\n",
       "      <td>4503.512509</td>\n",
       "      <td>15001.644877</td>\n",
       "      <td>1.274660e+06</td>\n",
       "      <td>7.876655e+06</td>\n",
       "      <td>175.117120</td>\n",
       "      <td>1194.710824</td>\n",
       "      <td>130.146978</td>\n",
       "      <td>6557.348895</td>\n",
       "      <td>1.639097e+03</td>\n",
       "      <td>0.999991</td>\n",
       "      <td>-2.210789e+12</td>\n",
       "      <td>7.226221</td>\n",
       "      <td>71.343983</td>\n",
       "      <td>2.111213e-06</td>\n",
       "      <td>450.000950</td>\n",
       "      <td>1.684658e+06</td>\n",
       "      <td>6.297642e+05</td>\n",
       "      <td>0.523468</td>\n",
       "      <td>1.486872e+06</td>\n",
       "      <td>399.928969</td>\n",
       "      <td>42.425851</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>600</th>\n",
       "      <th>250</th>\n",
       "      <th>6.0</th>\n",
       "      <td>18.247048</td>\n",
       "      <td>7.811460e-06</td>\n",
       "      <td>40147.402406</td>\n",
       "      <td>136.813899</td>\n",
       "      <td>1172.973610</td>\n",
       "      <td>15000.748534</td>\n",
       "      <td>155248.092461</td>\n",
       "      <td>1.289905e+07</td>\n",
       "      <td>7787.796223</td>\n",
       "      <td>15000.438669</td>\n",
       "      <td>2.094338e+06</td>\n",
       "      <td>8.067909e+06</td>\n",
       "      <td>175.909269</td>\n",
       "      <td>1188.378931</td>\n",
       "      <td>129.503723</td>\n",
       "      <td>6525.186170</td>\n",
       "      <td>2.987343e+02</td>\n",
       "      <td>0.999994</td>\n",
       "      <td>-5.324451e+12</td>\n",
       "      <td>7.211448</td>\n",
       "      <td>71.554059</td>\n",
       "      <td>8.962558e-05</td>\n",
       "      <td>450.040332</td>\n",
       "      <td>2.505855e+06</td>\n",
       "      <td>6.746213e+05</td>\n",
       "      <td>0.523546</td>\n",
       "      <td>2.307477e+06</td>\n",
       "      <td>399.947475</td>\n",
       "      <td>42.424923</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>800</th>\n",
       "      <th>250</th>\n",
       "      <th>6.0</th>\n",
       "      <td>18.248598</td>\n",
       "      <td>1.230322e-06</td>\n",
       "      <td>40720.139513</td>\n",
       "      <td>138.212952</td>\n",
       "      <td>1180.919444</td>\n",
       "      <td>15000.350139</td>\n",
       "      <td>156850.339281</td>\n",
       "      <td>1.312652e+07</td>\n",
       "      <td>11041.668159</td>\n",
       "      <td>15000.372177</td>\n",
       "      <td>2.913483e+06</td>\n",
       "      <td>8.188370e+06</td>\n",
       "      <td>177.714581</td>\n",
       "      <td>1196.407055</td>\n",
       "      <td>127.204088</td>\n",
       "      <td>6410.204383</td>\n",
       "      <td>1.313414e+03</td>\n",
       "      <td>0.999995</td>\n",
       "      <td>-9.788956e+12</td>\n",
       "      <td>7.194287</td>\n",
       "      <td>72.136773</td>\n",
       "      <td>1.343923e-03</td>\n",
       "      <td>450.604765</td>\n",
       "      <td>3.328740e+06</td>\n",
       "      <td>7.215934e+05</td>\n",
       "      <td>0.523570</td>\n",
       "      <td>3.128731e+06</td>\n",
       "      <td>399.988985</td>\n",
       "      <td>42.426526</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1000</th>\n",
       "      <th>250</th>\n",
       "      <th>6.0</th>\n",
       "      <td>18.243995</td>\n",
       "      <td>2.182927e-06</td>\n",
       "      <td>41215.818994</td>\n",
       "      <td>139.535445</td>\n",
       "      <td>1173.358625</td>\n",
       "      <td>15000.632766</td>\n",
       "      <td>158364.703657</td>\n",
       "      <td>1.332820e+07</td>\n",
       "      <td>14329.563557</td>\n",
       "      <td>15000.287754</td>\n",
       "      <td>3.732537e+06</td>\n",
       "      <td>8.290390e+06</td>\n",
       "      <td>179.842244</td>\n",
       "      <td>1180.881555</td>\n",
       "      <td>124.289598</td>\n",
       "      <td>6264.479887</td>\n",
       "      <td>1.579719e+03</td>\n",
       "      <td>0.999996</td>\n",
       "      <td>-1.560463e+13</td>\n",
       "      <td>7.174913</td>\n",
       "      <td>72.046787</td>\n",
       "      <td>1.112570e-03</td>\n",
       "      <td>450.500656</td>\n",
       "      <td>4.150105e+06</td>\n",
       "      <td>7.736719e+05</td>\n",
       "      <td>0.523392</td>\n",
       "      <td>3.950270e+06</td>\n",
       "      <td>399.979662</td>\n",
       "      <td>42.430388</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1300</th>\n",
       "      <th>250</th>\n",
       "      <th>6.0</th>\n",
       "      <td>18.241935</td>\n",
       "      <td>3.840188e-05</td>\n",
       "      <td>41410.169397</td>\n",
       "      <td>138.271606</td>\n",
       "      <td>1174.344580</td>\n",
       "      <td>15004.163384</td>\n",
       "      <td>156917.088806</td>\n",
       "      <td>1.334764e+07</td>\n",
       "      <td>19275.337271</td>\n",
       "      <td>15000.421753</td>\n",
       "      <td>4.968551e+06</td>\n",
       "      <td>8.331853e+06</td>\n",
       "      <td>177.128090</td>\n",
       "      <td>1188.207271</td>\n",
       "      <td>128.738359</td>\n",
       "      <td>6486.917975</td>\n",
       "      <td>7.657558e+03</td>\n",
       "      <td>0.999997</td>\n",
       "      <td>-2.686469e+13</td>\n",
       "      <td>7.237875</td>\n",
       "      <td>75.269569</td>\n",
       "      <td>4.705230e-03</td>\n",
       "      <td>452.117354</td>\n",
       "      <td>5.391568e+06</td>\n",
       "      <td>7.359951e+05</td>\n",
       "      <td>0.523300</td>\n",
       "      <td>5.183116e+06</td>\n",
       "      <td>399.988935</td>\n",
       "      <td>42.433133</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1600</th>\n",
       "      <th>250</th>\n",
       "      <th>6.0</th>\n",
       "      <td>18.244839</td>\n",
       "      <td>3.029742e-06</td>\n",
       "      <td>41601.258723</td>\n",
       "      <td>140.231284</td>\n",
       "      <td>1175.411523</td>\n",
       "      <td>15000.019653</td>\n",
       "      <td>159161.518923</td>\n",
       "      <td>1.347340e+07</td>\n",
       "      <td>24183.579558</td>\n",
       "      <td>15000.748917</td>\n",
       "      <td>6.200854e+06</td>\n",
       "      <td>8.371141e+06</td>\n",
       "      <td>178.749392</td>\n",
       "      <td>1191.939525</td>\n",
       "      <td>126.308423</td>\n",
       "      <td>6365.421169</td>\n",
       "      <td>3.012802e+03</td>\n",
       "      <td>0.999998</td>\n",
       "      <td>-4.118190e+13</td>\n",
       "      <td>7.172207</td>\n",
       "      <td>72.717742</td>\n",
       "      <td>2.382725e-03</td>\n",
       "      <td>451.072226</td>\n",
       "      <td>6.618923e+06</td>\n",
       "      <td>7.702151e+05</td>\n",
       "      <td>0.523435</td>\n",
       "      <td>6.417313e+06</td>\n",
       "      <td>399.969812</td>\n",
       "      <td>42.428805</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000</th>\n",
       "      <th>250</th>\n",
       "      <th>6.0</th>\n",
       "      <td>18.246385</td>\n",
       "      <td>4.663564e-07</td>\n",
       "      <td>41812.541374</td>\n",
       "      <td>140.442906</td>\n",
       "      <td>1178.725889</td>\n",
       "      <td>15000.516730</td>\n",
       "      <td>159403.779848</td>\n",
       "      <td>1.354772e+07</td>\n",
       "      <td>30762.833769</td>\n",
       "      <td>15000.112781</td>\n",
       "      <td>7.843603e+06</td>\n",
       "      <td>8.414010e+06</td>\n",
       "      <td>180.827840</td>\n",
       "      <td>1196.216925</td>\n",
       "      <td>123.120371</td>\n",
       "      <td>6206.018540</td>\n",
       "      <td>2.695011e+02</td>\n",
       "      <td>0.999998</td>\n",
       "      <td>-6.500372e+13</td>\n",
       "      <td>7.177593</td>\n",
       "      <td>72.373476</td>\n",
       "      <td>6.486290e-04</td>\n",
       "      <td>450.291883</td>\n",
       "      <td>8.263236e+06</td>\n",
       "      <td>8.124264e+05</td>\n",
       "      <td>0.523474</td>\n",
       "      <td>8.062488e+06</td>\n",
       "      <td>399.995966</td>\n",
       "      <td>42.429250</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>200</th>\n",
       "      <th>250</th>\n",
       "      <th>2.0</th>\n",
       "      <td>17.469718</td>\n",
       "      <td>6.532726e-05</td>\n",
       "      <td>18689.632467</td>\n",
       "      <td>116.628160</td>\n",
       "      <td>1179.091236</td>\n",
       "      <td>15045.048486</td>\n",
       "      <td>132104.608636</td>\n",
       "      <td>6.616969e+06</td>\n",
       "      <td>415.366509</td>\n",
       "      <td>15020.815497</td>\n",
       "      <td>2.330865e+05</td>\n",
       "      <td>5.831724e+06</td>\n",
       "      <td>140.416519</td>\n",
       "      <td>1197.560294</td>\n",
       "      <td>90.921807</td>\n",
       "      <td>4596.090346</td>\n",
       "      <td>2.490612e+03</td>\n",
       "      <td>0.999981</td>\n",
       "      <td>-1.636552e+11</td>\n",
       "      <td>6.912848</td>\n",
       "      <td>58.284447</td>\n",
       "      <td>2.327813e-03</td>\n",
       "      <td>451.047516</td>\n",
       "      <td>5.660638e+05</td>\n",
       "      <td>7.887757e+05</td>\n",
       "      <td>0.523753</td>\n",
       "      <td>4.045433e+05</td>\n",
       "      <td>399.994647</td>\n",
       "      <td>24.492556</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>400</th>\n",
       "      <th>250</th>\n",
       "      <th>2.0</th>\n",
       "      <td>17.466641</td>\n",
       "      <td>1.009079e-05</td>\n",
       "      <td>24704.182208</td>\n",
       "      <td>131.769204</td>\n",
       "      <td>1193.327195</td>\n",
       "      <td>15010.684019</td>\n",
       "      <td>149466.377028</td>\n",
       "      <td>9.124315e+06</td>\n",
       "      <td>2393.602977</td>\n",
       "      <td>15002.412972</td>\n",
       "      <td>7.459068e+05</td>\n",
       "      <td>7.563234e+06</td>\n",
       "      <td>155.131039</td>\n",
       "      <td>1187.366841</td>\n",
       "      <td>68.011166</td>\n",
       "      <td>3450.558321</td>\n",
       "      <td>3.390487e+03</td>\n",
       "      <td>0.999991</td>\n",
       "      <td>-8.733660e+11</td>\n",
       "      <td>6.982795</td>\n",
       "      <td>65.296961</td>\n",
       "      <td>1.613868e-03</td>\n",
       "      <td>450.726241</td>\n",
       "      <td>1.115462e+06</td>\n",
       "      <td>1.409168e+06</td>\n",
       "      <td>0.523800</td>\n",
       "      <td>9.345405e+05</td>\n",
       "      <td>399.814236</td>\n",
       "      <td>24.486363</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>600</th>\n",
       "      <th>250</th>\n",
       "      <th>2.0</th>\n",
       "      <td>17.468213</td>\n",
       "      <td>5.965350e-05</td>\n",
       "      <td>25822.366051</td>\n",
       "      <td>135.039261</td>\n",
       "      <td>1178.472001</td>\n",
       "      <td>15001.068508</td>\n",
       "      <td>153213.248802</td>\n",
       "      <td>9.627656e+06</td>\n",
       "      <td>4543.051743</td>\n",
       "      <td>15002.734396</td>\n",
       "      <td>1.282252e+06</td>\n",
       "      <td>7.909921e+06</td>\n",
       "      <td>156.393595</td>\n",
       "      <td>1189.402478</td>\n",
       "      <td>66.948286</td>\n",
       "      <td>3397.414295</td>\n",
       "      <td>6.881424e+03</td>\n",
       "      <td>0.999994</td>\n",
       "      <td>-2.167852e+12</td>\n",
       "      <td>6.955098</td>\n",
       "      <td>68.223437</td>\n",
       "      <td>2.594993e-03</td>\n",
       "      <td>451.167747</td>\n",
       "      <td>1.661226e+06</td>\n",
       "      <td>1.519237e+06</td>\n",
       "      <td>0.523884</td>\n",
       "      <td>1.472363e+06</td>\n",
       "      <td>399.815655</td>\n",
       "      <td>24.485212</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>800</th>\n",
       "      <th>250</th>\n",
       "      <th>2.0</th>\n",
       "      <td>17.466897</td>\n",
       "      <td>6.829943e-06</td>\n",
       "      <td>26549.874466</td>\n",
       "      <td>137.436695</td>\n",
       "      <td>1188.289324</td>\n",
       "      <td>15000.587796</td>\n",
       "      <td>155959.050349</td>\n",
       "      <td>9.972694e+06</td>\n",
       "      <td>6659.555922</td>\n",
       "      <td>15000.001950</td>\n",
       "      <td>1.817570e+06</td>\n",
       "      <td>8.132674e+06</td>\n",
       "      <td>159.754119</td>\n",
       "      <td>1190.642082</td>\n",
       "      <td>60.048741</td>\n",
       "      <td>3052.437036</td>\n",
       "      <td>2.215735e+03</td>\n",
       "      <td>0.999995</td>\n",
       "      <td>-4.046528e+12</td>\n",
       "      <td>6.923073</td>\n",
       "      <td>67.580810</td>\n",
       "      <td>1.590114e-07</td>\n",
       "      <td>450.000072</td>\n",
       "      <td>2.198831e+06</td>\n",
       "      <td>1.631912e+06</td>\n",
       "      <td>0.523620</td>\n",
       "      <td>2.011598e+06</td>\n",
       "      <td>399.976370</td>\n",
       "      <td>24.493874</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1000</th>\n",
       "      <th>250</th>\n",
       "      <th>2.0</th>\n",
       "      <td>17.469781</td>\n",
       "      <td>1.823367e-06</td>\n",
       "      <td>26735.744184</td>\n",
       "      <td>136.889349</td>\n",
       "      <td>1193.912790</td>\n",
       "      <td>15001.345825</td>\n",
       "      <td>155332.083044</td>\n",
       "      <td>1.002064e+07</td>\n",
       "      <td>8824.663142</td>\n",
       "      <td>15002.041029</td>\n",
       "      <td>2.356927e+06</td>\n",
       "      <td>8.193077e+06</td>\n",
       "      <td>159.748055</td>\n",
       "      <td>1194.605912</td>\n",
       "      <td>60.266070</td>\n",
       "      <td>3063.303495</td>\n",
       "      <td>9.645395e+02</td>\n",
       "      <td>0.999996</td>\n",
       "      <td>-6.507339e+12</td>\n",
       "      <td>6.981340</td>\n",
       "      <td>67.997282</td>\n",
       "      <td>7.451119e-03</td>\n",
       "      <td>453.353003</td>\n",
       "      <td>2.739305e+06</td>\n",
       "      <td>1.649166e+06</td>\n",
       "      <td>0.523789</td>\n",
       "      <td>2.550949e+06</td>\n",
       "      <td>399.967161</td>\n",
       "      <td>24.491200</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1300</th>\n",
       "      <th>250</th>\n",
       "      <th>2.0</th>\n",
       "      <td>17.466891</td>\n",
       "      <td>2.932845e-06</td>\n",
       "      <td>27215.931699</td>\n",
       "      <td>140.398193</td>\n",
       "      <td>1175.696902</td>\n",
       "      <td>15000.047555</td>\n",
       "      <td>159350.305374</td>\n",
       "      <td>1.031874e+07</td>\n",
       "      <td>12042.591405</td>\n",
       "      <td>15001.881813</td>\n",
       "      <td>3.163551e+06</td>\n",
       "      <td>8.340092e+06</td>\n",
       "      <td>162.111273</td>\n",
       "      <td>1188.307649</td>\n",
       "      <td>55.405287</td>\n",
       "      <td>2820.264334</td>\n",
       "      <td>2.827020e+03</td>\n",
       "      <td>0.999997</td>\n",
       "      <td>-1.129180e+13</td>\n",
       "      <td>6.846980</td>\n",
       "      <td>68.659189</td>\n",
       "      <td>9.407443e-05</td>\n",
       "      <td>450.042333</td>\n",
       "      <td>3.550544e+06</td>\n",
       "      <td>1.726386e+06</td>\n",
       "      <td>0.523608</td>\n",
       "      <td>3.360327e+06</td>\n",
       "      <td>399.986270</td>\n",
       "      <td>24.494349</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1600</th>\n",
       "      <th>250</th>\n",
       "      <th>2.0</th>\n",
       "      <td>17.467994</td>\n",
       "      <td>8.308204e-08</td>\n",
       "      <td>27397.484055</td>\n",
       "      <td>140.944241</td>\n",
       "      <td>1191.835545</td>\n",
       "      <td>15001.423245</td>\n",
       "      <td>159975.376834</td>\n",
       "      <td>1.040529e+07</td>\n",
       "      <td>15267.272208</td>\n",
       "      <td>15002.277258</td>\n",
       "      <td>3.974192e+06</td>\n",
       "      <td>8.396445e+06</td>\n",
       "      <td>161.466464</td>\n",
       "      <td>1184.489033</td>\n",
       "      <td>57.202181</td>\n",
       "      <td>2910.109034</td>\n",
       "      <td>1.684574e+03</td>\n",
       "      <td>0.999998</td>\n",
       "      <td>-1.739072e+13</td>\n",
       "      <td>6.842342</td>\n",
       "      <td>69.373073</td>\n",
       "      <td>4.613078e-03</td>\n",
       "      <td>452.075885</td>\n",
       "      <td>4.362343e+06</td>\n",
       "      <td>1.733338e+06</td>\n",
       "      <td>0.523659</td>\n",
       "      <td>4.170218e+06</td>\n",
       "      <td>399.993840</td>\n",
       "      <td>24.493854</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000</th>\n",
       "      <th>250</th>\n",
       "      <th>2.0</th>\n",
       "      <td>17.474686</td>\n",
       "      <td>2.380867e-05</td>\n",
       "      <td>27276.499962</td>\n",
       "      <td>135.958864</td>\n",
       "      <td>1172.418693</td>\n",
       "      <td>15009.052552</td>\n",
       "      <td>154265.252467</td>\n",
       "      <td>1.019644e+07</td>\n",
       "      <td>19647.207290</td>\n",
       "      <td>15004.408253</td>\n",
       "      <td>5.055833e+06</td>\n",
       "      <td>8.361238e+06</td>\n",
       "      <td>159.529728</td>\n",
       "      <td>1197.037959</td>\n",
       "      <td>63.070691</td>\n",
       "      <td>3203.534566</td>\n",
       "      <td>2.898407e+04</td>\n",
       "      <td>0.999998</td>\n",
       "      <td>-2.755838e+13</td>\n",
       "      <td>7.123852</td>\n",
       "      <td>67.877048</td>\n",
       "      <td>1.077165e-03</td>\n",
       "      <td>450.484724</td>\n",
       "      <td>5.437632e+06</td>\n",
       "      <td>1.686553e+06</td>\n",
       "      <td>0.524036</td>\n",
       "      <td>5.249607e+06</td>\n",
       "      <td>399.985144</td>\n",
       "      <td>24.488253</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>200</th>\n",
       "      <th>700</th>\n",
       "      <th>6.0</th>\n",
       "      <td>18.247801</td>\n",
       "      <td>5.662932e-05</td>\n",
       "      <td>54289.107670</td>\n",
       "      <td>213.041634</td>\n",
       "      <td>532.702498</td>\n",
       "      <td>23415.032924</td>\n",
       "      <td>99539.189923</td>\n",
       "      <td>5.782119e+07</td>\n",
       "      <td>65.835671</td>\n",
       "      <td>20451.984905</td>\n",
       "      <td>1.264531e+05</td>\n",
       "      <td>1.834925e+07</td>\n",
       "      <td>203.859899</td>\n",
       "      <td>1191.239715</td>\n",
       "      <td>90.743398</td>\n",
       "      <td>4587.169880</td>\n",
       "      <td>1.371578e+03</td>\n",
       "      <td>0.999981</td>\n",
       "      <td>-1.482203e+11</td>\n",
       "      <td>8.010748</td>\n",
       "      <td>80.813166</td>\n",
       "      <td>1.194211e-03</td>\n",
       "      <td>450.537395</td>\n",
       "      <td>6.092629e+05</td>\n",
       "      <td>1.873788e+06</td>\n",
       "      <td>0.523544</td>\n",
       "      <td>3.849938e+05</td>\n",
       "      <td>399.981918</td>\n",
       "      <td>42.426782</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>400</th>\n",
       "      <th>700</th>\n",
       "      <th>6.0</th>\n",
       "      <td>18.247985</td>\n",
       "      <td>2.699949e-05</td>\n",
       "      <td>99964.446176</td>\n",
       "      <td>280.612581</td>\n",
       "      <td>1183.359256</td>\n",
       "      <td>16531.638967</td>\n",
       "      <td>319434.877377</td>\n",
       "      <td>5.662187e+07</td>\n",
       "      <td>96.550905</td>\n",
       "      <td>15010.684482</td>\n",
       "      <td>3.698175e+05</td>\n",
       "      <td>3.158217e+08</td>\n",
       "      <td>292.868792</td>\n",
       "      <td>1192.711380</td>\n",
       "      <td>15.056414</td>\n",
       "      <td>802.820675</td>\n",
       "      <td>1.447052e+07</td>\n",
       "      <td>0.999991</td>\n",
       "      <td>-5.374612e+11</td>\n",
       "      <td>7.734653</td>\n",
       "      <td>99.848871</td>\n",
       "      <td>3.311182e-04</td>\n",
       "      <td>450.149003</td>\n",
       "      <td>1.011488e+06</td>\n",
       "      <td>7.232154e+06</td>\n",
       "      <td>0.523536</td>\n",
       "      <td>7.331174e+05</td>\n",
       "      <td>399.999145</td>\n",
       "      <td>42.427903</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>600</th>\n",
       "      <th>700</th>\n",
       "      <th>6.0</th>\n",
       "      <td>28.473953</td>\n",
       "      <td>3.113790e-05</td>\n",
       "      <td>61099.261433</td>\n",
       "      <td>254.458471</td>\n",
       "      <td>1183.898620</td>\n",
       "      <td>20232.321411</td>\n",
       "      <td>289300.101657</td>\n",
       "      <td>4.059411e+07</td>\n",
       "      <td>490.837247</td>\n",
       "      <td>22648.120790</td>\n",
       "      <td>6.119207e+05</td>\n",
       "      <td>1.179758e+08</td>\n",
       "      <td>262.834201</td>\n",
       "      <td>1188.263947</td>\n",
       "      <td>18.248335</td>\n",
       "      <td>962.416736</td>\n",
       "      <td>2.496159e+06</td>\n",
       "      <td>0.999994</td>\n",
       "      <td>-8.826414e+11</td>\n",
       "      <td>5.290965</td>\n",
       "      <td>90.539700</td>\n",
       "      <td>2.860267e-03</td>\n",
       "      <td>451.287120</td>\n",
       "      <td>1.191805e+06</td>\n",
       "      <td>5.132688e+06</td>\n",
       "      <td>0.935531</td>\n",
       "      <td>9.394900e+05</td>\n",
       "      <td>399.940304</td>\n",
       "      <td>29.067939</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>800</th>\n",
       "      <th>700</th>\n",
       "      <th>6.0</th>\n",
       "      <td>36.331612</td>\n",
       "      <td>5.897642e-05</td>\n",
       "      <td>40183.113805</td>\n",
       "      <td>243.779436</td>\n",
       "      <td>311.595495</td>\n",
       "      <td>25746.762464</td>\n",
       "      <td>60505.227043</td>\n",
       "      <td>9.201893e+07</td>\n",
       "      <td>1723.602979</td>\n",
       "      <td>27152.346360</td>\n",
       "      <td>1.243683e+06</td>\n",
       "      <td>3.911569e+07</td>\n",
       "      <td>210.909936</td>\n",
       "      <td>1183.129420</td>\n",
       "      <td>13.260815</td>\n",
       "      <td>713.040745</td>\n",
       "      <td>4.113513e+02</td>\n",
       "      <td>0.999995</td>\n",
       "      <td>-2.277990e+12</td>\n",
       "      <td>0.626446</td>\n",
       "      <td>84.925438</td>\n",
       "      <td>4.190054e-03</td>\n",
       "      <td>451.885524</td>\n",
       "      <td>1.744895e+06</td>\n",
       "      <td>4.339566e+06</td>\n",
       "      <td>1.180895</td>\n",
       "      <td>1.509301e+06</td>\n",
       "      <td>399.994537</td>\n",
       "      <td>18.620761</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1000</th>\n",
       "      <th>700</th>\n",
       "      <th>6.0</th>\n",
       "      <td>36.694357</td>\n",
       "      <td>1.227800e-05</td>\n",
       "      <td>42208.029344</td>\n",
       "      <td>239.473460</td>\n",
       "      <td>322.217878</td>\n",
       "      <td>25837.237833</td>\n",
       "      <td>59163.336054</td>\n",
       "      <td>9.813333e+07</td>\n",
       "      <td>2394.042816</td>\n",
       "      <td>26855.789900</td>\n",
       "      <td>1.725241e+06</td>\n",
       "      <td>4.030173e+07</td>\n",
       "      <td>210.424306</td>\n",
       "      <td>1193.374211</td>\n",
       "      <td>12.122974</td>\n",
       "      <td>656.148700</td>\n",
       "      <td>2.986781e+05</td>\n",
       "      <td>0.999996</td>\n",
       "      <td>-3.961186e+12</td>\n",
       "      <td>0.200059</td>\n",
       "      <td>87.021886</td>\n",
       "      <td>4.720048e-03</td>\n",
       "      <td>452.124021</td>\n",
       "      <td>2.231516e+06</td>\n",
       "      <td>4.811386e+06</td>\n",
       "      <td>1.189309</td>\n",
       "      <td>1.990273e+06</td>\n",
       "      <td>399.969702</td>\n",
       "      <td>18.238286</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1300</th>\n",
       "      <th>700</th>\n",
       "      <th>6.0</th>\n",
       "      <td>37.568931</td>\n",
       "      <td>3.085900e-07</td>\n",
       "      <td>99982.590217</td>\n",
       "      <td>366.613108</td>\n",
       "      <td>310.035820</td>\n",
       "      <td>20238.928676</td>\n",
       "      <td>96819.157342</td>\n",
       "      <td>2.240506e+08</td>\n",
       "      <td>3445.149024</td>\n",
       "      <td>22149.316065</td>\n",
       "      <td>2.501648e+06</td>\n",
       "      <td>9.002704e+07</td>\n",
       "      <td>490.338715</td>\n",
       "      <td>364.194184</td>\n",
       "      <td>92.161915</td>\n",
       "      <td>4658.095743</td>\n",
       "      <td>9.787536e+04</td>\n",
       "      <td>0.999997</td>\n",
       "      <td>-7.200858e+12</td>\n",
       "      <td>8.003086</td>\n",
       "      <td>138.788367</td>\n",
       "      <td>3.428972e-04</td>\n",
       "      <td>450.154304</td>\n",
       "      <td>3.072481e+06</td>\n",
       "      <td>1.887710e+07</td>\n",
       "      <td>1.208464</td>\n",
       "      <td>2.683441e+06</td>\n",
       "      <td>399.995016</td>\n",
       "      <td>17.364628</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1600</th>\n",
       "      <th>700</th>\n",
       "      <th>6.0</th>\n",
       "      <td>37.336881</td>\n",
       "      <td>3.622142e-05</td>\n",
       "      <td>57381.361299</td>\n",
       "      <td>233.799711</td>\n",
       "      <td>317.155128</td>\n",
       "      <td>24242.234379</td>\n",
       "      <td>58052.857518</td>\n",
       "      <td>1.303675e+08</td>\n",
       "      <td>4588.469749</td>\n",
       "      <td>26529.295052</td>\n",
       "      <td>3.257019e+06</td>\n",
       "      <td>5.342305e+07</td>\n",
       "      <td>475.845457</td>\n",
       "      <td>356.412248</td>\n",
       "      <td>184.636019</td>\n",
       "      <td>9281.800945</td>\n",
       "      <td>1.251972e+04</td>\n",
       "      <td>0.999998</td>\n",
       "      <td>-1.179266e+13</td>\n",
       "      <td>8.020439</td>\n",
       "      <td>113.685313</td>\n",
       "      <td>2.270960e-03</td>\n",
       "      <td>451.021932</td>\n",
       "      <td>3.754822e+06</td>\n",
       "      <td>7.071587e+06</td>\n",
       "      <td>1.203511</td>\n",
       "      <td>3.434044e+06</td>\n",
       "      <td>399.999331</td>\n",
       "      <td>17.591403</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000</th>\n",
       "      <th>700</th>\n",
       "      <th>6.0</th>\n",
       "      <td>37.899986</td>\n",
       "      <td>4.722763e-07</td>\n",
       "      <td>99979.521004</td>\n",
       "      <td>367.567319</td>\n",
       "      <td>306.201728</td>\n",
       "      <td>20249.553820</td>\n",
       "      <td>97082.419734</td>\n",
       "      <td>2.244391e+08</td>\n",
       "      <td>6036.775482</td>\n",
       "      <td>22248.562015</td>\n",
       "      <td>4.307945e+06</td>\n",
       "      <td>8.968010e+07</td>\n",
       "      <td>489.677952</td>\n",
       "      <td>354.832295</td>\n",
       "      <td>94.072310</td>\n",
       "      <td>4753.615492</td>\n",
       "      <td>5.005879e+04</td>\n",
       "      <td>0.999998</td>\n",
       "      <td>-2.015583e+13</td>\n",
       "      <td>8.014592</td>\n",
       "      <td>140.926757</td>\n",
       "      <td>1.621318e-03</td>\n",
       "      <td>450.729593</td>\n",
       "      <td>4.884333e+06</td>\n",
       "      <td>1.941424e+07</td>\n",
       "      <td>1.215354</td>\n",
       "      <td>4.489524e+06</td>\n",
       "      <td>399.993886</td>\n",
       "      <td>17.048579</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>200</th>\n",
       "      <th>700</th>\n",
       "      <th>2.0</th>\n",
       "      <td>26.183222</td>\n",
       "      <td>-1.779159e-02</td>\n",
       "      <td>19341.975831</td>\n",
       "      <td>169.227702</td>\n",
       "      <td>333.531171</td>\n",
       "      <td>22549.998798</td>\n",
       "      <td>45500.025455</td>\n",
       "      <td>3.270266e+07</td>\n",
       "      <td>66.659980</td>\n",
       "      <td>19350.001949</td>\n",
       "      <td>7.051232e+04</td>\n",
       "      <td>2.970725e+00</td>\n",
       "      <td>91.869758</td>\n",
       "      <td>311.743054</td>\n",
       "      <td>158.763201</td>\n",
       "      <td>7988.160028</td>\n",
       "      <td>2.181327e+00</td>\n",
       "      <td>0.999981</td>\n",
       "      <td>1.779336e-02</td>\n",
       "      <td>7.997741</td>\n",
       "      <td>67.500853</td>\n",
       "      <td>-2.510515e-04</td>\n",
       "      <td>449.887027</td>\n",
       "      <td>2.988252e+05</td>\n",
       "      <td>8.042433e+05</td>\n",
       "      <td>0.922508</td>\n",
       "      <td>1.139812e+05</td>\n",
       "      <td>399.999976</td>\n",
       "      <td>17.078696</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>400</th>\n",
       "      <th>700</th>\n",
       "      <th>2.0</th>\n",
       "      <td>21.861520</td>\n",
       "      <td>6.266531e-05</td>\n",
       "      <td>51763.671324</td>\n",
       "      <td>237.505588</td>\n",
       "      <td>1175.045098</td>\n",
       "      <td>17781.660023</td>\n",
       "      <td>270140.305171</td>\n",
       "      <td>3.159177e+07</td>\n",
       "      <td>65.940421</td>\n",
       "      <td>17250.017008</td>\n",
       "      <td>2.982517e+05</td>\n",
       "      <td>1.801898e+08</td>\n",
       "      <td>236.535061</td>\n",
       "      <td>1196.165375</td>\n",
       "      <td>11.103649</td>\n",
       "      <td>605.182456</td>\n",
       "      <td>4.306470e+06</td>\n",
       "      <td>0.999991</td>\n",
       "      <td>-3.546447e+11</td>\n",
       "      <td>0.515743</td>\n",
       "      <td>93.259473</td>\n",
       "      <td>7.919613e-03</td>\n",
       "      <td>453.563826</td>\n",
       "      <td>8.543971e+05</td>\n",
       "      <td>5.644169e+06</td>\n",
       "      <td>0.746257</td>\n",
       "      <td>5.955206e+05</td>\n",
       "      <td>399.946550</td>\n",
       "      <td>20.765927</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>600</th>\n",
       "      <th>700</th>\n",
       "      <th>2.0</th>\n",
       "      <td>25.282295</td>\n",
       "      <td>4.594280e-05</td>\n",
       "      <td>66139.638414</td>\n",
       "      <td>271.430098</td>\n",
       "      <td>1184.889027</td>\n",
       "      <td>15679.785078</td>\n",
       "      <td>308973.668738</td>\n",
       "      <td>4.576729e+07</td>\n",
       "      <td>150.336015</td>\n",
       "      <td>15755.789403</td>\n",
       "      <td>4.011163e+05</td>\n",
       "      <td>2.246721e+08</td>\n",
       "      <td>284.903775</td>\n",
       "      <td>1191.823270</td>\n",
       "      <td>9.567638</td>\n",
       "      <td>528.381917</td>\n",
       "      <td>1.648697e+07</td>\n",
       "      <td>0.999994</td>\n",
       "      <td>-5.700801e+11</td>\n",
       "      <td>0.207488</td>\n",
       "      <td>107.569237</td>\n",
       "      <td>1.116858e-05</td>\n",
       "      <td>450.005026</td>\n",
       "      <td>1.054007e+06</td>\n",
       "      <td>8.788373e+06</td>\n",
       "      <td>0.889599</td>\n",
       "      <td>7.550365e+05</td>\n",
       "      <td>399.980777</td>\n",
       "      <td>17.810836</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>800</th>\n",
       "      <th>700</th>\n",
       "      <th>2.0</th>\n",
       "      <td>41.709413</td>\n",
       "      <td>8.624058e-05</td>\n",
       "      <td>26551.486025</td>\n",
       "      <td>234.803179</td>\n",
       "      <td>324.451531</td>\n",
       "      <td>25845.912162</td>\n",
       "      <td>57823.098886</td>\n",
       "      <td>6.370689e+07</td>\n",
       "      <td>1211.055987</td>\n",
       "      <td>26590.290144</td>\n",
       "      <td>9.047229e+05</td>\n",
       "      <td>3.362300e+07</td>\n",
       "      <td>180.978824</td>\n",
       "      <td>1188.306663</td>\n",
       "      <td>12.324130</td>\n",
       "      <td>666.206502</td>\n",
       "      <td>4.136468e+05</td>\n",
       "      <td>0.999995</td>\n",
       "      <td>-1.275902e+12</td>\n",
       "      <td>0.066610</td>\n",
       "      <td>79.826122</td>\n",
       "      <td>5.247332e-03</td>\n",
       "      <td>452.361299</td>\n",
       "      <td>1.350483e+06</td>\n",
       "      <td>3.424162e+06</td>\n",
       "      <td>1.247075</td>\n",
       "      <td>1.129559e+06</td>\n",
       "      <td>399.973879</td>\n",
       "      <td>8.996846</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1000</th>\n",
       "      <th>700</th>\n",
       "      <th>2.0</th>\n",
       "      <td>43.490567</td>\n",
       "      <td>3.728898e-05</td>\n",
       "      <td>27789.485921</td>\n",
       "      <td>235.700186</td>\n",
       "      <td>317.352104</td>\n",
       "      <td>25749.212022</td>\n",
       "      <td>58096.377087</td>\n",
       "      <td>6.750457e+07</td>\n",
       "      <td>1770.301581</td>\n",
       "      <td>26667.057654</td>\n",
       "      <td>1.283061e+06</td>\n",
       "      <td>3.427674e+07</td>\n",
       "      <td>184.479405</td>\n",
       "      <td>1103.332823</td>\n",
       "      <td>12.550118</td>\n",
       "      <td>677.505899</td>\n",
       "      <td>5.113787e+05</td>\n",
       "      <td>0.999996</td>\n",
       "      <td>-2.251822e+12</td>\n",
       "      <td>0.086612</td>\n",
       "      <td>81.019256</td>\n",
       "      <td>6.312421e-03</td>\n",
       "      <td>452.840590</td>\n",
       "      <td>1.724858e+06</td>\n",
       "      <td>3.847341e+06</td>\n",
       "      <td>1.266011</td>\n",
       "      <td>1.500607e+06</td>\n",
       "      <td>399.973590</td>\n",
       "      <td>8.487514</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1300</th>\n",
       "      <th>700</th>\n",
       "      <th>2.0</th>\n",
       "      <td>47.713620</td>\n",
       "      <td>2.153660e-05</td>\n",
       "      <td>74548.386931</td>\n",
       "      <td>373.994854</td>\n",
       "      <td>311.662584</td>\n",
       "      <td>19124.580294</td>\n",
       "      <td>99060.642864</td>\n",
       "      <td>1.755387e+08</td>\n",
       "      <td>2543.964687</td>\n",
       "      <td>21336.245634</td>\n",
       "      <td>1.874130e+06</td>\n",
       "      <td>8.392695e+07</td>\n",
       "      <td>499.570432</td>\n",
       "      <td>318.091504</td>\n",
       "      <td>80.036591</td>\n",
       "      <td>4051.829525</td>\n",
       "      <td>3.640719e+06</td>\n",
       "      <td>0.999997</td>\n",
       "      <td>-4.116156e+12</td>\n",
       "      <td>0.183646</td>\n",
       "      <td>139.644733</td>\n",
       "      <td>2.693982e-04</td>\n",
       "      <td>450.121229</td>\n",
       "      <td>2.420317e+06</td>\n",
       "      <td>1.923638e+07</td>\n",
       "      <td>1.303406</td>\n",
       "      <td>2.028831e+06</td>\n",
       "      <td>399.981526</td>\n",
       "      <td>7.472955</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1600</th>\n",
       "      <th>700</th>\n",
       "      <th>2.0</th>\n",
       "      <td>48.358662</td>\n",
       "      <td>7.289594e-06</td>\n",
       "      <td>88385.246486</td>\n",
       "      <td>396.504566</td>\n",
       "      <td>316.707303</td>\n",
       "      <td>18146.193432</td>\n",
       "      <td>105425.105373</td>\n",
       "      <td>2.016194e+08</td>\n",
       "      <td>3417.365610</td>\n",
       "      <td>20113.516053</td>\n",
       "      <td>2.490168e+06</td>\n",
       "      <td>9.812088e+07</td>\n",
       "      <td>499.955578</td>\n",
       "      <td>306.478369</td>\n",
       "      <td>70.981546</td>\n",
       "      <td>3599.077303</td>\n",
       "      <td>5.539305e+06</td>\n",
       "      <td>0.999998</td>\n",
       "      <td>-6.996513e+12</td>\n",
       "      <td>0.058094</td>\n",
       "      <td>151.084679</td>\n",
       "      <td>1.156526e-03</td>\n",
       "      <td>450.520437</td>\n",
       "      <td>3.067594e+06</td>\n",
       "      <td>2.551639e+07</td>\n",
       "      <td>1.308343</td>\n",
       "      <td>2.645092e+06</td>\n",
       "      <td>399.998593</td>\n",
       "      <td>7.338356</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000</th>\n",
       "      <th>700</th>\n",
       "      <th>2.0</th>\n",
       "      <td>49.248390</td>\n",
       "      <td>1.998445e-06</td>\n",
       "      <td>90841.905975</td>\n",
       "      <td>393.995190</td>\n",
       "      <td>306.559962</td>\n",
       "      <td>18022.252393</td>\n",
       "      <td>104777.020613</td>\n",
       "      <td>2.034135e+08</td>\n",
       "      <td>4625.547826</td>\n",
       "      <td>19930.235464</td>\n",
       "      <td>3.329466e+06</td>\n",
       "      <td>1.003245e+08</td>\n",
       "      <td>498.046538</td>\n",
       "      <td>308.430436</td>\n",
       "      <td>68.535041</td>\n",
       "      <td>3476.752030</td>\n",
       "      <td>5.208220e+06</td>\n",
       "      <td>0.999998</td>\n",
       "      <td>-1.213744e+13</td>\n",
       "      <td>0.010206</td>\n",
       "      <td>154.943461</td>\n",
       "      <td>2.369945e-03</td>\n",
       "      <td>451.066475</td>\n",
       "      <td>3.916774e+06</td>\n",
       "      <td>2.731699e+07</td>\n",
       "      <td>1.314880</td>\n",
       "      <td>3.483884e+06</td>\n",
       "      <td>399.997186</td>\n",
       "      <td>7.159640</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>200</th>\n",
       "      <th>700</th>\n",
       "      <th>12.0</th>\n",
       "      <td>21.559828</td>\n",
       "      <td>1.832563e-05</td>\n",
       "      <td>99135.113363</td>\n",
       "      <td>221.828054</td>\n",
       "      <td>1178.647822</td>\n",
       "      <td>18232.859516</td>\n",
       "      <td>252221.453429</td>\n",
       "      <td>4.184279e+07</td>\n",
       "      <td>78.388063</td>\n",
       "      <td>16150.001673</td>\n",
       "      <td>2.797309e+05</td>\n",
       "      <td>1.043010e+08</td>\n",
       "      <td>231.162856</td>\n",
       "      <td>1186.695540</td>\n",
       "      <td>69.046296</td>\n",
       "      <td>3502.314797</td>\n",
       "      <td>1.446320e+04</td>\n",
       "      <td>0.999981</td>\n",
       "      <td>-3.257731e+11</td>\n",
       "      <td>8.044131</td>\n",
       "      <td>92.981238</td>\n",
       "      <td>4.903424e-03</td>\n",
       "      <td>452.206541</td>\n",
       "      <td>8.287285e+05</td>\n",
       "      <td>3.588596e+06</td>\n",
       "      <td>0.523472</td>\n",
       "      <td>5.707653e+05</td>\n",
       "      <td>399.974017</td>\n",
       "      <td>60.002440</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>400</th>\n",
       "      <th>700</th>\n",
       "      <th>12.0</th>\n",
       "      <td>21.564206</td>\n",
       "      <td>1.096812e-05</td>\n",
       "      <td>99982.884947</td>\n",
       "      <td>277.507871</td>\n",
       "      <td>1191.000687</td>\n",
       "      <td>18929.475795</td>\n",
       "      <td>315771.991487</td>\n",
       "      <td>5.398422e+07</td>\n",
       "      <td>245.318556</td>\n",
       "      <td>19150.067683</td>\n",
       "      <td>4.710941e+05</td>\n",
       "      <td>2.317836e+08</td>\n",
       "      <td>282.600736</td>\n",
       "      <td>1191.698721</td>\n",
       "      <td>26.680275</td>\n",
       "      <td>1384.013764</td>\n",
       "      <td>3.680453e+03</td>\n",
       "      <td>0.999991</td>\n",
       "      <td>-6.760625e+11</td>\n",
       "      <td>8.016753</td>\n",
       "      <td>88.923995</td>\n",
       "      <td>1.861461e-03</td>\n",
       "      <td>450.837657</td>\n",
       "      <td>1.070787e+06</td>\n",
       "      <td>4.805311e+06</td>\n",
       "      <td>0.523599</td>\n",
       "      <td>8.222302e+05</td>\n",
       "      <td>399.983906</td>\n",
       "      <td>59.998793</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>600</th>\n",
       "      <th>700</th>\n",
       "      <th>12.0</th>\n",
       "      <td>21.563966</td>\n",
       "      <td>2.822884e-06</td>\n",
       "      <td>99880.255164</td>\n",
       "      <td>274.217511</td>\n",
       "      <td>1191.983752</td>\n",
       "      <td>19840.338655</td>\n",
       "      <td>311949.075671</td>\n",
       "      <td>5.530418e+07</td>\n",
       "      <td>532.931160</td>\n",
       "      <td>20050.058638</td>\n",
       "      <td>6.771729e+05</td>\n",
       "      <td>2.237033e+08</td>\n",
       "      <td>282.512472</td>\n",
       "      <td>1197.001516</td>\n",
       "      <td>36.608306</td>\n",
       "      <td>1880.415290</td>\n",
       "      <td>1.031068e+04</td>\n",
       "      <td>0.999994</td>\n",
       "      <td>-1.057133e+12</td>\n",
       "      <td>8.049121</td>\n",
       "      <td>89.203695</td>\n",
       "      <td>5.457884e-03</td>\n",
       "      <td>452.456048</td>\n",
       "      <td>1.277478e+06</td>\n",
       "      <td>4.545293e+06</td>\n",
       "      <td>0.523580</td>\n",
       "      <td>1.028170e+06</td>\n",
       "      <td>399.997905</td>\n",
       "      <td>60.000502</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>800</th>\n",
       "      <th>700</th>\n",
       "      <th>12.0</th>\n",
       "      <td>21.564437</td>\n",
       "      <td>4.757459e-06</td>\n",
       "      <td>99743.627310</td>\n",
       "      <td>273.075136</td>\n",
       "      <td>1175.788249</td>\n",
       "      <td>20363.786339</td>\n",
       "      <td>310601.632362</td>\n",
       "      <td>5.651017e+07</td>\n",
       "      <td>839.700800</td>\n",
       "      <td>20553.777236</td>\n",
       "      <td>8.857918e+05</td>\n",
       "      <td>2.207536e+08</td>\n",
       "      <td>282.720459</td>\n",
       "      <td>1198.570514</td>\n",
       "      <td>39.630785</td>\n",
       "      <td>2031.539270</td>\n",
       "      <td>1.768665e+03</td>\n",
       "      <td>0.999995</td>\n",
       "      <td>-1.530174e+12</td>\n",
       "      <td>8.008049</td>\n",
       "      <td>90.221837</td>\n",
       "      <td>8.943491e-04</td>\n",
       "      <td>450.402457</td>\n",
       "      <td>1.489065e+06</td>\n",
       "      <td>4.452372e+06</td>\n",
       "      <td>0.523596</td>\n",
       "      <td>1.237002e+06</td>\n",
       "      <td>399.995219</td>\n",
       "      <td>59.999721</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1000</th>\n",
       "      <th>700</th>\n",
       "      <th>12.0</th>\n",
       "      <td>31.154305</td>\n",
       "      <td>1.145894e-04</td>\n",
       "      <td>39024.200302</td>\n",
       "      <td>245.643041</td>\n",
       "      <td>1177.478113</td>\n",
       "      <td>22846.095174</td>\n",
       "      <td>278952.432940</td>\n",
       "      <td>3.102520e+07</td>\n",
       "      <td>846.836742</td>\n",
       "      <td>27661.749298</td>\n",
       "      <td>8.532948e+05</td>\n",
       "      <td>7.351816e+07</td>\n",
       "      <td>428.142374</td>\n",
       "      <td>1193.374513</td>\n",
       "      <td>318.048074</td>\n",
       "      <td>15952.403679</td>\n",
       "      <td>2.218971e+07</td>\n",
       "      <td>0.999996</td>\n",
       "      <td>-1.890767e+12</td>\n",
       "      <td>8.098772</td>\n",
       "      <td>97.259034</td>\n",
       "      <td>1.097470e-02</td>\n",
       "      <td>454.938615</td>\n",
       "      <td>1.649926e+06</td>\n",
       "      <td>1.566682e+06</td>\n",
       "      <td>0.834975</td>\n",
       "      <td>1.375052e+06</td>\n",
       "      <td>399.988377</td>\n",
       "      <td>46.501177</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1300</th>\n",
       "      <th>700</th>\n",
       "      <th>12.0</th>\n",
       "      <td>33.364128</td>\n",
       "      <td>1.863435e-05</td>\n",
       "      <td>44831.637002</td>\n",
       "      <td>242.242534</td>\n",
       "      <td>336.939064</td>\n",
       "      <td>22637.537119</td>\n",
       "      <td>69030.414050</td>\n",
       "      <td>8.046086e+07</td>\n",
       "      <td>1700.115130</td>\n",
       "      <td>24950.375401</td>\n",
       "      <td>1.231177e+06</td>\n",
       "      <td>7.318983e+07</td>\n",
       "      <td>457.619000</td>\n",
       "      <td>1184.841187</td>\n",
       "      <td>301.429665</td>\n",
       "      <td>15121.483252</td>\n",
       "      <td>2.802636e+07</td>\n",
       "      <td>0.999997</td>\n",
       "      <td>-3.195053e+12</td>\n",
       "      <td>8.046072</td>\n",
       "      <td>105.348042</td>\n",
       "      <td>5.119075e-03</td>\n",
       "      <td>452.303584</td>\n",
       "      <td>2.085113e+06</td>\n",
       "      <td>3.499413e+06</td>\n",
       "      <td>0.910928</td>\n",
       "      <td>1.787471e+06</td>\n",
       "      <td>399.984669</td>\n",
       "      <td>42.469963</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1600</th>\n",
       "      <th>700</th>\n",
       "      <th>12.0</th>\n",
       "      <td>33.920270</td>\n",
       "      <td>1.053576e-05</td>\n",
       "      <td>49722.318518</td>\n",
       "      <td>244.794215</td>\n",
       "      <td>314.992747</td>\n",
       "      <td>22047.759541</td>\n",
       "      <td>62276.374344</td>\n",
       "      <td>9.656763e+07</td>\n",
       "      <td>2283.806057</td>\n",
       "      <td>24131.864959</td>\n",
       "      <td>1.644490e+06</td>\n",
       "      <td>7.968425e+07</td>\n",
       "      <td>472.420962</td>\n",
       "      <td>1183.920243</td>\n",
       "      <td>290.549039</td>\n",
       "      <td>14577.451935</td>\n",
       "      <td>3.267637e+07</td>\n",
       "      <td>0.999998</td>\n",
       "      <td>-4.920000e+12</td>\n",
       "      <td>8.076883</td>\n",
       "      <td>110.648376</td>\n",
       "      <td>8.542530e-03</td>\n",
       "      <td>453.844139</td>\n",
       "      <td>2.530540e+06</td>\n",
       "      <td>4.849875e+06</td>\n",
       "      <td>0.930122</td>\n",
       "      <td>2.218107e+06</td>\n",
       "      <td>399.993939</td>\n",
       "      <td>41.412075</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000</th>\n",
       "      <th>700</th>\n",
       "      <th>12.0</th>\n",
       "      <td>34.355396</td>\n",
       "      <td>9.313324e-06</td>\n",
       "      <td>51675.403710</td>\n",
       "      <td>247.094950</td>\n",
       "      <td>309.618965</td>\n",
       "      <td>21937.055754</td>\n",
       "      <td>62952.589379</td>\n",
       "      <td>1.019010e+08</td>\n",
       "      <td>3098.467076</td>\n",
       "      <td>23919.614011</td>\n",
       "      <td>2.212265e+06</td>\n",
       "      <td>8.193266e+07</td>\n",
       "      <td>484.465593</td>\n",
       "      <td>1196.772293</td>\n",
       "      <td>285.236599</td>\n",
       "      <td>14311.829949</td>\n",
       "      <td>3.537668e+07</td>\n",
       "      <td>0.999998</td>\n",
       "      <td>-7.839846e+12</td>\n",
       "      <td>8.016103</td>\n",
       "      <td>114.986237</td>\n",
       "      <td>1.789199e-03</td>\n",
       "      <td>450.805139</td>\n",
       "      <td>3.124502e+06</td>\n",
       "      <td>5.743238e+06</td>\n",
       "      <td>0.945158</td>\n",
       "      <td>2.799973e+06</td>\n",
       "      <td>399.986019</td>\n",
       "      <td>40.571876</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                               aircraft_length  \\\n",
       "battery_specific_energy airspeed aspect_ratio                    \n",
       "200                     250      12.0                21.551184   \n",
       "400                     250      12.0                21.563016   \n",
       "600                     250      12.0                21.563213   \n",
       "800                     250      12.0                21.557520   \n",
       "1000                    250      12.0                21.560352   \n",
       "1300                    250      12.0                21.563421   \n",
       "1600                    250      12.0                21.556702   \n",
       "2000                    250      12.0                21.553486   \n",
       "200                     250      6.0                 18.175305   \n",
       "400                     250      6.0                 18.244702   \n",
       "600                     250      6.0                 18.247048   \n",
       "800                     250      6.0                 18.248598   \n",
       "1000                    250      6.0                 18.243995   \n",
       "1300                    250      6.0                 18.241935   \n",
       "1600                    250      6.0                 18.244839   \n",
       "2000                    250      6.0                 18.246385   \n",
       "200                     250      2.0                 17.469718   \n",
       "400                     250      2.0                 17.466641   \n",
       "600                     250      2.0                 17.468213   \n",
       "800                     250      2.0                 17.466897   \n",
       "1000                    250      2.0                 17.469781   \n",
       "1300                    250      2.0                 17.466891   \n",
       "1600                    250      2.0                 17.467994   \n",
       "2000                    250      2.0                 17.474686   \n",
       "200                     700      6.0                 18.247801   \n",
       "400                     700      6.0                 18.247985   \n",
       "600                     700      6.0                 28.473953   \n",
       "800                     700      6.0                 36.331612   \n",
       "1000                    700      6.0                 36.694357   \n",
       "1300                    700      6.0                 37.568931   \n",
       "1600                    700      6.0                 37.336881   \n",
       "2000                    700      6.0                 37.899986   \n",
       "200                     700      2.0                 26.183222   \n",
       "400                     700      2.0                 21.861520   \n",
       "600                     700      2.0                 25.282295   \n",
       "800                     700      2.0                 41.709413   \n",
       "1000                    700      2.0                 43.490567   \n",
       "1300                    700      2.0                 47.713620   \n",
       "1600                    700      2.0                 48.358662   \n",
       "2000                    700      2.0                 49.248390   \n",
       "200                     700      12.0                21.559828   \n",
       "400                     700      12.0                21.564206   \n",
       "600                     700      12.0                21.563966   \n",
       "800                     700      12.0                21.564437   \n",
       "1000                    700      12.0                31.154305   \n",
       "1300                    700      12.0                33.364128   \n",
       "1600                    700      12.0                33.920270   \n",
       "2000                    700      12.0                34.355396   \n",
       "\n",
       "                                               battery_energy_remaining  \\\n",
       "battery_specific_energy airspeed aspect_ratio                             \n",
       "200                     250      12.0                      2.142885e-07   \n",
       "400                     250      12.0                      4.804073e-06   \n",
       "600                     250      12.0                      4.707201e-07   \n",
       "800                     250      12.0                      5.311135e-06   \n",
       "1000                    250      12.0                      7.832122e-06   \n",
       "1300                    250      12.0                      3.892307e-07   \n",
       "1600                    250      12.0                      4.835372e-06   \n",
       "2000                    250      12.0                      2.446656e-06   \n",
       "200                     250      6.0                       1.164178e-07   \n",
       "400                     250      6.0                       5.022659e-06   \n",
       "600                     250      6.0                       7.811460e-06   \n",
       "800                     250      6.0                       1.230322e-06   \n",
       "1000                    250      6.0                       2.182927e-06   \n",
       "1300                    250      6.0                       3.840188e-05   \n",
       "1600                    250      6.0                       3.029742e-06   \n",
       "2000                    250      6.0                       4.663564e-07   \n",
       "200                     250      2.0                       6.532726e-05   \n",
       "400                     250      2.0                       1.009079e-05   \n",
       "600                     250      2.0                       5.965350e-05   \n",
       "800                     250      2.0                       6.829943e-06   \n",
       "1000                    250      2.0                       1.823367e-06   \n",
       "1300                    250      2.0                       2.932845e-06   \n",
       "1600                    250      2.0                       8.308204e-08   \n",
       "2000                    250      2.0                       2.380867e-05   \n",
       "200                     700      6.0                       5.662932e-05   \n",
       "400                     700      6.0                       2.699949e-05   \n",
       "600                     700      6.0                       3.113790e-05   \n",
       "800                     700      6.0                       5.897642e-05   \n",
       "1000                    700      6.0                       1.227800e-05   \n",
       "1300                    700      6.0                       3.085900e-07   \n",
       "1600                    700      6.0                       3.622142e-05   \n",
       "2000                    700      6.0                       4.722763e-07   \n",
       "200                     700      2.0                      -1.779159e-02   \n",
       "400                     700      2.0                       6.266531e-05   \n",
       "600                     700      2.0                       4.594280e-05   \n",
       "800                     700      2.0                       8.624058e-05   \n",
       "1000                    700      2.0                       3.728898e-05   \n",
       "1300                    700      2.0                       2.153660e-05   \n",
       "1600                    700      2.0                       7.289594e-06   \n",
       "2000                    700      2.0                       1.998445e-06   \n",
       "200                     700      12.0                      1.832563e-05   \n",
       "400                     700      12.0                      1.096812e-05   \n",
       "600                     700      12.0                      2.822884e-06   \n",
       "800                     700      12.0                      4.757459e-06   \n",
       "1000                    700      12.0                      1.145894e-04   \n",
       "1300                    700      12.0                      1.863435e-05   \n",
       "1600                    700      12.0                      1.053576e-05   \n",
       "2000                    700      12.0                      9.313324e-06   \n",
       "\n",
       "                                               battery_mass  climb_airspeed  \\\n",
       "battery_specific_energy airspeed aspect_ratio                                 \n",
       "200                     250      12.0          48682.411079      134.297182   \n",
       "400                     250      12.0          50527.068277      136.079867   \n",
       "600                     250      12.0          51815.656252      138.571984   \n",
       "800                     250      12.0          51925.699925      140.500293   \n",
       "1000                    250      12.0          51952.469108      136.548193   \n",
       "1300                    250      12.0          52629.031256      138.333226   \n",
       "1600                    250      12.0          52907.600112      139.490228   \n",
       "2000                    250      12.0          58437.200953      286.505432   \n",
       "200                     250      6.0           34547.697868      125.960031   \n",
       "400                     250      6.0           39265.815280      134.960498   \n",
       "600                     250      6.0           40147.402406      136.813899   \n",
       "800                     250      6.0           40720.139513      138.212952   \n",
       "1000                    250      6.0           41215.818994      139.535445   \n",
       "1300                    250      6.0           41410.169397      138.271606   \n",
       "1600                    250      6.0           41601.258723      140.231284   \n",
       "2000                    250      6.0           41812.541374      140.442906   \n",
       "200                     250      2.0           18689.632467      116.628160   \n",
       "400                     250      2.0           24704.182208      131.769204   \n",
       "600                     250      2.0           25822.366051      135.039261   \n",
       "800                     250      2.0           26549.874466      137.436695   \n",
       "1000                    250      2.0           26735.744184      136.889349   \n",
       "1300                    250      2.0           27215.931699      140.398193   \n",
       "1600                    250      2.0           27397.484055      140.944241   \n",
       "2000                    250      2.0           27276.499962      135.958864   \n",
       "200                     700      6.0           54289.107670      213.041634   \n",
       "400                     700      6.0           99964.446176      280.612581   \n",
       "600                     700      6.0           61099.261433      254.458471   \n",
       "800                     700      6.0           40183.113805      243.779436   \n",
       "1000                    700      6.0           42208.029344      239.473460   \n",
       "1300                    700      6.0           99982.590217      366.613108   \n",
       "1600                    700      6.0           57381.361299      233.799711   \n",
       "2000                    700      6.0           99979.521004      367.567319   \n",
       "200                     700      2.0           19341.975831      169.227702   \n",
       "400                     700      2.0           51763.671324      237.505588   \n",
       "600                     700      2.0           66139.638414      271.430098   \n",
       "800                     700      2.0           26551.486025      234.803179   \n",
       "1000                    700      2.0           27789.485921      235.700186   \n",
       "1300                    700      2.0           74548.386931      373.994854   \n",
       "1600                    700      2.0           88385.246486      396.504566   \n",
       "2000                    700      2.0           90841.905975      393.995190   \n",
       "200                     700      12.0          99135.113363      221.828054   \n",
       "400                     700      12.0          99982.884947      277.507871   \n",
       "600                     700      12.0          99880.255164      274.217511   \n",
       "800                     700      12.0          99743.627310      273.075136   \n",
       "1000                    700      12.0          39024.200302      245.643041   \n",
       "1300                    700      12.0          44831.637002      242.242534   \n",
       "1600                    700      12.0          49722.318518      244.794215   \n",
       "2000                    700      12.0          51675.403710      247.094950   \n",
       "\n",
       "                                               climb_duration  \\\n",
       "battery_specific_energy airspeed aspect_ratio                   \n",
       "200                     250      12.0             1197.451507   \n",
       "400                     250      12.0             1196.773184   \n",
       "600                     250      12.0             1189.570352   \n",
       "800                     250      12.0             1183.749808   \n",
       "1000                    250      12.0             1182.478485   \n",
       "1300                    250      12.0             1178.799209   \n",
       "1600                    250      12.0             1180.488207   \n",
       "2000                    250      12.0             1194.118796   \n",
       "200                     250      6.0              1176.245281   \n",
       "400                     250      6.0              1183.566735   \n",
       "600                     250      6.0              1172.973610   \n",
       "800                     250      6.0              1180.919444   \n",
       "1000                    250      6.0              1173.358625   \n",
       "1300                    250      6.0              1174.344580   \n",
       "1600                    250      6.0              1175.411523   \n",
       "2000                    250      6.0              1178.725889   \n",
       "200                     250      2.0              1179.091236   \n",
       "400                     250      2.0              1193.327195   \n",
       "600                     250      2.0              1178.472001   \n",
       "800                     250      2.0              1188.289324   \n",
       "1000                    250      2.0              1193.912790   \n",
       "1300                    250      2.0              1175.696902   \n",
       "1600                    250      2.0              1191.835545   \n",
       "2000                    250      2.0              1172.418693   \n",
       "200                     700      6.0               532.702498   \n",
       "400                     700      6.0              1183.359256   \n",
       "600                     700      6.0              1183.898620   \n",
       "800                     700      6.0               311.595495   \n",
       "1000                    700      6.0               322.217878   \n",
       "1300                    700      6.0               310.035820   \n",
       "1600                    700      6.0               317.155128   \n",
       "2000                    700      6.0               306.201728   \n",
       "200                     700      2.0               333.531171   \n",
       "400                     700      2.0              1175.045098   \n",
       "600                     700      2.0              1184.889027   \n",
       "800                     700      2.0               324.451531   \n",
       "1000                    700      2.0               317.352104   \n",
       "1300                    700      2.0               311.662584   \n",
       "1600                    700      2.0               316.707303   \n",
       "2000                    700      2.0               306.559962   \n",
       "200                     700      12.0             1178.647822   \n",
       "400                     700      12.0             1191.000687   \n",
       "600                     700      12.0             1191.983752   \n",
       "800                     700      12.0             1175.788249   \n",
       "1000                    700      12.0             1177.478113   \n",
       "1300                    700      12.0              336.939064   \n",
       "1600                    700      12.0              314.992747   \n",
       "2000                    700      12.0              309.618965   \n",
       "\n",
       "                                               climb_ending_altitude  \\\n",
       "battery_specific_energy airspeed aspect_ratio                          \n",
       "200                     250      12.0                   15000.298113   \n",
       "400                     250      12.0                   15000.007241   \n",
       "600                     250      12.0                   15000.972749   \n",
       "800                     250      12.0                   15000.290793   \n",
       "1000                    250      12.0                   15000.410255   \n",
       "1300                    250      12.0                   15000.010925   \n",
       "1600                    250      12.0                   15000.633759   \n",
       "2000                    250      12.0                   15005.397183   \n",
       "200                     250      6.0                    15020.952035   \n",
       "400                     250      6.0                    15000.856878   \n",
       "600                     250      6.0                    15000.748534   \n",
       "800                     250      6.0                    15000.350139   \n",
       "1000                    250      6.0                    15000.632766   \n",
       "1300                    250      6.0                    15004.163384   \n",
       "1600                    250      6.0                    15000.019653   \n",
       "2000                    250      6.0                    15000.516730   \n",
       "200                     250      2.0                    15045.048486   \n",
       "400                     250      2.0                    15010.684019   \n",
       "600                     250      2.0                    15001.068508   \n",
       "800                     250      2.0                    15000.587796   \n",
       "1000                    250      2.0                    15001.345825   \n",
       "1300                    250      2.0                    15000.047555   \n",
       "1600                    250      2.0                    15001.423245   \n",
       "2000                    250      2.0                    15009.052552   \n",
       "200                     700      6.0                    23415.032924   \n",
       "400                     700      6.0                    16531.638967   \n",
       "600                     700      6.0                    20232.321411   \n",
       "800                     700      6.0                    25746.762464   \n",
       "1000                    700      6.0                    25837.237833   \n",
       "1300                    700      6.0                    20238.928676   \n",
       "1600                    700      6.0                    24242.234379   \n",
       "2000                    700      6.0                    20249.553820   \n",
       "200                     700      2.0                    22549.998798   \n",
       "400                     700      2.0                    17781.660023   \n",
       "600                     700      2.0                    15679.785078   \n",
       "800                     700      2.0                    25845.912162   \n",
       "1000                    700      2.0                    25749.212022   \n",
       "1300                    700      2.0                    19124.580294   \n",
       "1600                    700      2.0                    18146.193432   \n",
       "2000                    700      2.0                    18022.252393   \n",
       "200                     700      12.0                   18232.859516   \n",
       "400                     700      12.0                   18929.475795   \n",
       "600                     700      12.0                   19840.338655   \n",
       "800                     700      12.0                   20363.786339   \n",
       "1000                    700      12.0                   22846.095174   \n",
       "1300                    700      12.0                   22637.537119   \n",
       "1600                    700      12.0                   22047.759541   \n",
       "2000                    700      12.0                   21937.055754   \n",
       "\n",
       "                                               climb_ending_distance  \\\n",
       "battery_specific_energy airspeed aspect_ratio                          \n",
       "200                     250      12.0                  152366.158357   \n",
       "400                     250      12.0                  154408.070183   \n",
       "600                     250      12.0                  157262.015563   \n",
       "800                     250      12.0                  159470.102011   \n",
       "1000                    250      12.0                  154944.388863   \n",
       "1300                    250      12.0                  156988.690659   \n",
       "1600                    250      12.0                  158313.525909   \n",
       "2000                    250      12.0                  326198.019958   \n",
       "200                     250      6.0                   142810.459748   \n",
       "400                     250      6.0                   153125.316287   \n",
       "600                     250      6.0                   155248.092461   \n",
       "800                     250      6.0                   156850.339281   \n",
       "1000                    250      6.0                   158364.703657   \n",
       "1300                    250      6.0                   156917.088806   \n",
       "1600                    250      6.0                   159161.518923   \n",
       "2000                    250      6.0                   159403.779848   \n",
       "200                     250      2.0                   132104.608636   \n",
       "400                     250      2.0                   149466.377028   \n",
       "600                     250      2.0                   153213.248802   \n",
       "800                     250      2.0                   155959.050349   \n",
       "1000                    250      2.0                   155332.083044   \n",
       "1300                    250      2.0                   159350.305374   \n",
       "1600                    250      2.0                   159975.376834   \n",
       "2000                    250      2.0                   154265.252467   \n",
       "200                     700      6.0                    99539.189923   \n",
       "400                     700      6.0                   319434.877377   \n",
       "600                     700      6.0                   289300.101657   \n",
       "800                     700      6.0                    60505.227043   \n",
       "1000                    700      6.0                    59163.336054   \n",
       "1300                    700      6.0                    96819.157342   \n",
       "1600                    700      6.0                    58052.857518   \n",
       "2000                    700      6.0                    97082.419734   \n",
       "200                     700      2.0                    45500.025455   \n",
       "400                     700      2.0                   270140.305171   \n",
       "600                     700      2.0                   308973.668738   \n",
       "800                     700      2.0                    57823.098886   \n",
       "1000                    700      2.0                    58096.377087   \n",
       "1300                    700      2.0                    99060.642864   \n",
       "1600                    700      2.0                   105425.105373   \n",
       "2000                    700      2.0                   104777.020613   \n",
       "200                     700      12.0                  252221.453429   \n",
       "400                     700      12.0                  315771.991487   \n",
       "600                     700      12.0                  311949.075671   \n",
       "800                     700      12.0                  310601.632362   \n",
       "1000                    700      12.0                  278952.432940   \n",
       "1300                    700      12.0                   69030.414050   \n",
       "1600                    700      12.0                   62276.374344   \n",
       "2000                    700      12.0                   62952.589379   \n",
       "\n",
       "                                                climb_power  cruise_duration  \\\n",
       "battery_specific_energy airspeed aspect_ratio                                  \n",
       "200                     250      12.0          1.454010e+07      1971.483118   \n",
       "400                     250      12.0          1.513885e+07      6148.465252   \n",
       "600                     250      12.0          1.560134e+07     10320.719350   \n",
       "800                     250      12.0          1.570222e+07     14491.963037   \n",
       "1000                    250      12.0          1.557482e+07     18700.889382   \n",
       "1300                    250      12.0          1.583257e+07     24975.793200   \n",
       "1600                    250      12.0          1.595507e+07     31238.879870   \n",
       "2000                    250      12.0          3.589226e+07     35992.590916   \n",
       "200                     250      6.0           1.084324e+07      1335.701644   \n",
       "400                     250      6.0           1.256226e+07      4503.512509   \n",
       "600                     250      6.0           1.289905e+07      7787.796223   \n",
       "800                     250      6.0           1.312652e+07     11041.668159   \n",
       "1000                    250      6.0           1.332820e+07     14329.563557   \n",
       "1300                    250      6.0           1.334764e+07     19275.337271   \n",
       "1600                    250      6.0           1.347340e+07     24183.579558   \n",
       "2000                    250      6.0           1.354772e+07     30762.833769   \n",
       "200                     250      2.0           6.616969e+06       415.366509   \n",
       "400                     250      2.0           9.124315e+06      2393.602977   \n",
       "600                     250      2.0           9.627656e+06      4543.051743   \n",
       "800                     250      2.0           9.972694e+06      6659.555922   \n",
       "1000                    250      2.0           1.002064e+07      8824.663142   \n",
       "1300                    250      2.0           1.031874e+07     12042.591405   \n",
       "1600                    250      2.0           1.040529e+07     15267.272208   \n",
       "2000                    250      2.0           1.019644e+07     19647.207290   \n",
       "200                     700      6.0           5.782119e+07        65.835671   \n",
       "400                     700      6.0           5.662187e+07        96.550905   \n",
       "600                     700      6.0           4.059411e+07       490.837247   \n",
       "800                     700      6.0           9.201893e+07      1723.602979   \n",
       "1000                    700      6.0           9.813333e+07      2394.042816   \n",
       "1300                    700      6.0           2.240506e+08      3445.149024   \n",
       "1600                    700      6.0           1.303675e+08      4588.469749   \n",
       "2000                    700      6.0           2.244391e+08      6036.775482   \n",
       "200                     700      2.0           3.270266e+07        66.659980   \n",
       "400                     700      2.0           3.159177e+07        65.940421   \n",
       "600                     700      2.0           4.576729e+07       150.336015   \n",
       "800                     700      2.0           6.370689e+07      1211.055987   \n",
       "1000                    700      2.0           6.750457e+07      1770.301581   \n",
       "1300                    700      2.0           1.755387e+08      2543.964687   \n",
       "1600                    700      2.0           2.016194e+08      3417.365610   \n",
       "2000                    700      2.0           2.034135e+08      4625.547826   \n",
       "200                     700      12.0          4.184279e+07        78.388063   \n",
       "400                     700      12.0          5.398422e+07       245.318556   \n",
       "600                     700      12.0          5.530418e+07       532.931160   \n",
       "800                     700      12.0          5.651017e+07       839.700800   \n",
       "1000                    700      12.0          3.102520e+07       846.836742   \n",
       "1300                    700      12.0          8.046086e+07      1700.115130   \n",
       "1600                    700      12.0          9.656763e+07      2283.806057   \n",
       "2000                    700      12.0          1.019010e+08      3098.467076   \n",
       "\n",
       "                                               cruise_ending_altitude  \\\n",
       "battery_specific_energy airspeed aspect_ratio                           \n",
       "200                     250      12.0                    15000.012916   \n",
       "400                     250      12.0                    15001.234958   \n",
       "600                     250      12.0                    15000.222655   \n",
       "800                     250      12.0                    15000.745342   \n",
       "1000                    250      12.0                    15000.134534   \n",
       "1300                    250      12.0                    15000.443622   \n",
       "1600                    250      12.0                    15000.232604   \n",
       "2000                    250      12.0                    15004.643107   \n",
       "200                     250      6.0                     15042.464953   \n",
       "400                     250      6.0                     15001.644877   \n",
       "600                     250      6.0                     15000.438669   \n",
       "800                     250      6.0                     15000.372177   \n",
       "1000                    250      6.0                     15000.287754   \n",
       "1300                    250      6.0                     15000.421753   \n",
       "1600                    250      6.0                     15000.748917   \n",
       "2000                    250      6.0                     15000.112781   \n",
       "200                     250      2.0                     15020.815497   \n",
       "400                     250      2.0                     15002.412972   \n",
       "600                     250      2.0                     15002.734396   \n",
       "800                     250      2.0                     15000.001950   \n",
       "1000                    250      2.0                     15002.041029   \n",
       "1300                    250      2.0                     15001.881813   \n",
       "1600                    250      2.0                     15002.277258   \n",
       "2000                    250      2.0                     15004.408253   \n",
       "200                     700      6.0                     20451.984905   \n",
       "400                     700      6.0                     15010.684482   \n",
       "600                     700      6.0                     22648.120790   \n",
       "800                     700      6.0                     27152.346360   \n",
       "1000                    700      6.0                     26855.789900   \n",
       "1300                    700      6.0                     22149.316065   \n",
       "1600                    700      6.0                     26529.295052   \n",
       "2000                    700      6.0                     22248.562015   \n",
       "200                     700      2.0                     19350.001949   \n",
       "400                     700      2.0                     17250.017008   \n",
       "600                     700      2.0                     15755.789403   \n",
       "800                     700      2.0                     26590.290144   \n",
       "1000                    700      2.0                     26667.057654   \n",
       "1300                    700      2.0                     21336.245634   \n",
       "1600                    700      2.0                     20113.516053   \n",
       "2000                    700      2.0                     19930.235464   \n",
       "200                     700      12.0                    16150.001673   \n",
       "400                     700      12.0                    19150.067683   \n",
       "600                     700      12.0                    20050.058638   \n",
       "800                     700      12.0                    20553.777236   \n",
       "1000                    700      12.0                    27661.749298   \n",
       "1300                    700      12.0                    24950.375401   \n",
       "1600                    700      12.0                    24131.864959   \n",
       "2000                    700      12.0                    23919.614011   \n",
       "\n",
       "                                               cruise_ending_distance  \\\n",
       "battery_specific_energy airspeed aspect_ratio                           \n",
       "200                     250      12.0                    6.438792e+05   \n",
       "400                     250      12.0                    1.688475e+06   \n",
       "600                     250      12.0                    2.733904e+06   \n",
       "800                     250      12.0                    3.778670e+06   \n",
       "1000                    250      12.0                    4.824026e+06   \n",
       "1300                    250      12.0                    6.393624e+06   \n",
       "1600                    250      12.0                    7.962483e+06   \n",
       "2000                    250      12.0                    9.327271e+06   \n",
       "200                     250      6.0                     4.690730e+05   \n",
       "400                     250      6.0                     1.274660e+06   \n",
       "600                     250      6.0                     2.094338e+06   \n",
       "800                     250      6.0                     2.913483e+06   \n",
       "1000                    250      6.0                     3.732537e+06   \n",
       "1300                    250      6.0                     4.968551e+06   \n",
       "1600                    250      6.0                     6.200854e+06   \n",
       "2000                    250      6.0                     7.843603e+06   \n",
       "200                     250      2.0                     2.330865e+05   \n",
       "400                     250      2.0                     7.459068e+05   \n",
       "600                     250      2.0                     1.282252e+06   \n",
       "800                     250      2.0                     1.817570e+06   \n",
       "1000                    250      2.0                     2.356927e+06   \n",
       "1300                    250      2.0                     3.163551e+06   \n",
       "1600                    250      2.0                     3.974192e+06   \n",
       "2000                    250      2.0                     5.055833e+06   \n",
       "200                     700      6.0                     1.264531e+05   \n",
       "400                     700      6.0                     3.698175e+05   \n",
       "600                     700      6.0                     6.119207e+05   \n",
       "800                     700      6.0                     1.243683e+06   \n",
       "1000                    700      6.0                     1.725241e+06   \n",
       "1300                    700      6.0                     2.501648e+06   \n",
       "1600                    700      6.0                     3.257019e+06   \n",
       "2000                    700      6.0                     4.307945e+06   \n",
       "200                     700      2.0                     7.051232e+04   \n",
       "400                     700      2.0                     2.982517e+05   \n",
       "600                     700      2.0                     4.011163e+05   \n",
       "800                     700      2.0                     9.047229e+05   \n",
       "1000                    700      2.0                     1.283061e+06   \n",
       "1300                    700      2.0                     1.874130e+06   \n",
       "1600                    700      2.0                     2.490168e+06   \n",
       "2000                    700      2.0                     3.329466e+06   \n",
       "200                     700      12.0                    2.797309e+05   \n",
       "400                     700      12.0                    4.710941e+05   \n",
       "600                     700      12.0                    6.771729e+05   \n",
       "800                     700      12.0                    8.857918e+05   \n",
       "1000                    700      12.0                    8.532948e+05   \n",
       "1300                    700      12.0                    1.231177e+06   \n",
       "1600                    700      12.0                    1.644490e+06   \n",
       "2000                    700      12.0                    2.212265e+06   \n",
       "\n",
       "                                               cruise_power  descent_airspeed  \\\n",
       "battery_specific_energy airspeed aspect_ratio                                   \n",
       "200                     250      12.0          7.586958e+06        192.900830   \n",
       "400                     250      12.0          7.966515e+06        191.986476   \n",
       "600                     250      12.0          8.184702e+06        191.100091   \n",
       "800                     250      12.0          8.209618e+06        191.125696   \n",
       "1000                    250      12.0          8.217703e+06        191.088606   \n",
       "1300                    250      12.0          8.326073e+06        190.393847   \n",
       "1600                    250      12.0          8.371014e+06        190.377097   \n",
       "2000                    250      12.0          9.284876e+06        283.752854   \n",
       "200                     250      6.0           6.922738e+06        165.087835   \n",
       "400                     250      6.0           7.876655e+06        175.117120   \n",
       "600                     250      6.0           8.067909e+06        175.909269   \n",
       "800                     250      6.0           8.188370e+06        177.714581   \n",
       "1000                    250      6.0           8.290390e+06        179.842244   \n",
       "1300                    250      6.0           8.331853e+06        177.128090   \n",
       "1600                    250      6.0           8.371141e+06        178.749392   \n",
       "2000                    250      6.0           8.414010e+06        180.827840   \n",
       "200                     250      2.0           5.831724e+06        140.416519   \n",
       "400                     250      2.0           7.563234e+06        155.131039   \n",
       "600                     250      2.0           7.909921e+06        156.393595   \n",
       "800                     250      2.0           8.132674e+06        159.754119   \n",
       "1000                    250      2.0           8.193077e+06        159.748055   \n",
       "1300                    250      2.0           8.340092e+06        162.111273   \n",
       "1600                    250      2.0           8.396445e+06        161.466464   \n",
       "2000                    250      2.0           8.361238e+06        159.529728   \n",
       "200                     700      6.0           1.834925e+07        203.859899   \n",
       "400                     700      6.0           3.158217e+08        292.868792   \n",
       "600                     700      6.0           1.179758e+08        262.834201   \n",
       "800                     700      6.0           3.911569e+07        210.909936   \n",
       "1000                    700      6.0           4.030173e+07        210.424306   \n",
       "1300                    700      6.0           9.002704e+07        490.338715   \n",
       "1600                    700      6.0           5.342305e+07        475.845457   \n",
       "2000                    700      6.0           8.968010e+07        489.677952   \n",
       "200                     700      2.0           2.970725e+00         91.869758   \n",
       "400                     700      2.0           1.801898e+08        236.535061   \n",
       "600                     700      2.0           2.246721e+08        284.903775   \n",
       "800                     700      2.0           3.362300e+07        180.978824   \n",
       "1000                    700      2.0           3.427674e+07        184.479405   \n",
       "1300                    700      2.0           8.392695e+07        499.570432   \n",
       "1600                    700      2.0           9.812088e+07        499.955578   \n",
       "2000                    700      2.0           1.003245e+08        498.046538   \n",
       "200                     700      12.0          1.043010e+08        231.162856   \n",
       "400                     700      12.0          2.317836e+08        282.600736   \n",
       "600                     700      12.0          2.237033e+08        282.512472   \n",
       "800                     700      12.0          2.207536e+08        282.720459   \n",
       "1000                    700      12.0          7.351816e+07        428.142374   \n",
       "1300                    700      12.0          7.318983e+07        457.619000   \n",
       "1600                    700      12.0          7.968425e+07        472.420962   \n",
       "2000                    700      12.0          8.193266e+07        484.465593   \n",
       "\n",
       "                                               descent_duration  \\\n",
       "battery_specific_energy airspeed aspect_ratio                     \n",
       "200                     250      12.0               1191.032295   \n",
       "400                     250      12.0               1196.156859   \n",
       "600                     250      12.0               1193.881159   \n",
       "800                     250      12.0               1188.071906   \n",
       "1000                    250      12.0               1186.382013   \n",
       "1300                    250      12.0               1194.943168   \n",
       "1600                    250      12.0               1198.665668   \n",
       "2000                    250      12.0               1189.799713   \n",
       "200                     250      6.0                1190.349157   \n",
       "400                     250      6.0                1194.710824   \n",
       "600                     250      6.0                1188.378931   \n",
       "800                     250      6.0                1196.407055   \n",
       "1000                    250      6.0                1180.881555   \n",
       "1300                    250      6.0                1188.207271   \n",
       "1600                    250      6.0                1191.939525   \n",
       "2000                    250      6.0                1196.216925   \n",
       "200                     250      2.0                1197.560294   \n",
       "400                     250      2.0                1187.366841   \n",
       "600                     250      2.0                1189.402478   \n",
       "800                     250      2.0                1190.642082   \n",
       "1000                    250      2.0                1194.605912   \n",
       "1300                    250      2.0                1188.307649   \n",
       "1600                    250      2.0                1184.489033   \n",
       "2000                    250      2.0                1197.037959   \n",
       "200                     700      6.0                1191.239715   \n",
       "400                     700      6.0                1192.711380   \n",
       "600                     700      6.0                1188.263947   \n",
       "800                     700      6.0                1183.129420   \n",
       "1000                    700      6.0                1193.374211   \n",
       "1300                    700      6.0                 364.194184   \n",
       "1600                    700      6.0                 356.412248   \n",
       "2000                    700      6.0                 354.832295   \n",
       "200                     700      2.0                 311.743054   \n",
       "400                     700      2.0                1196.165375   \n",
       "600                     700      2.0                1191.823270   \n",
       "800                     700      2.0                1188.306663   \n",
       "1000                    700      2.0                1103.332823   \n",
       "1300                    700      2.0                 318.091504   \n",
       "1600                    700      2.0                 306.478369   \n",
       "2000                    700      2.0                 308.430436   \n",
       "200                     700      12.0               1186.695540   \n",
       "400                     700      12.0               1191.698721   \n",
       "600                     700      12.0               1197.001516   \n",
       "800                     700      12.0               1198.570514   \n",
       "1000                    700      12.0               1193.374513   \n",
       "1300                    700      12.0               1184.841187   \n",
       "1600                    700      12.0               1183.920243   \n",
       "2000                    700      12.0               1196.772293   \n",
       "\n",
       "                                               descent_end_altitude_rel  \\\n",
       "battery_specific_energy airspeed aspect_ratio                             \n",
       "200                     250      12.0                        146.709192   \n",
       "400                     250      12.0                        149.719400   \n",
       "600                     250      12.0                        151.721817   \n",
       "800                     250      12.0                        151.902844   \n",
       "1000                    250      12.0                        151.905640   \n",
       "1300                    250      12.0                        153.041411   \n",
       "1600                    250      12.0                        153.336011   \n",
       "2000                    250      12.0                        161.163188   \n",
       "200                     250      6.0                         142.472822   \n",
       "400                     250      6.0                         130.146978   \n",
       "600                     250      6.0                         129.503723   \n",
       "800                     250      6.0                         127.204088   \n",
       "1000                    250      6.0                         124.289598   \n",
       "1300                    250      6.0                         128.738359   \n",
       "1600                    250      6.0                         126.308423   \n",
       "2000                    250      6.0                         123.120371   \n",
       "200                     250      2.0                          90.921807   \n",
       "400                     250      2.0                          68.011166   \n",
       "600                     250      2.0                          66.948286   \n",
       "800                     250      2.0                          60.048741   \n",
       "1000                    250      2.0                          60.266070   \n",
       "1300                    250      2.0                          55.405287   \n",
       "1600                    250      2.0                          57.202181   \n",
       "2000                    250      2.0                          63.070691   \n",
       "200                     700      6.0                          90.743398   \n",
       "400                     700      6.0                          15.056414   \n",
       "600                     700      6.0                          18.248335   \n",
       "800                     700      6.0                          13.260815   \n",
       "1000                    700      6.0                          12.122974   \n",
       "1300                    700      6.0                          92.161915   \n",
       "1600                    700      6.0                         184.636019   \n",
       "2000                    700      6.0                          94.072310   \n",
       "200                     700      2.0                         158.763201   \n",
       "400                     700      2.0                          11.103649   \n",
       "600                     700      2.0                           9.567638   \n",
       "800                     700      2.0                          12.324130   \n",
       "1000                    700      2.0                          12.550118   \n",
       "1300                    700      2.0                          80.036591   \n",
       "1600                    700      2.0                          70.981546   \n",
       "2000                    700      2.0                          68.535041   \n",
       "200                     700      12.0                         69.046296   \n",
       "400                     700      12.0                         26.680275   \n",
       "600                     700      12.0                         36.608306   \n",
       "800                     700      12.0                         39.630785   \n",
       "1000                    700      12.0                        318.048074   \n",
       "1300                    700      12.0                        301.429665   \n",
       "1600                    700      12.0                        290.549039   \n",
       "2000                    700      12.0                        285.236599   \n",
       "\n",
       "                                               descent_ending_altitude  \\\n",
       "battery_specific_energy airspeed aspect_ratio                            \n",
       "200                     250      12.0                      7385.459579   \n",
       "400                     250      12.0                      7535.970017   \n",
       "600                     250      12.0                      7636.090826   \n",
       "800                     250      12.0                      7645.142197   \n",
       "1000                    250      12.0                      7645.282011   \n",
       "1300                    250      12.0                      7702.070534   \n",
       "1600                    250      12.0                      7716.800526   \n",
       "2000                    250      12.0                      8108.159376   \n",
       "200                     250      6.0                       7173.641094   \n",
       "400                     250      6.0                       6557.348895   \n",
       "600                     250      6.0                       6525.186170   \n",
       "800                     250      6.0                       6410.204383   \n",
       "1000                    250      6.0                       6264.479887   \n",
       "1300                    250      6.0                       6486.917975   \n",
       "1600                    250      6.0                       6365.421169   \n",
       "2000                    250      6.0                       6206.018540   \n",
       "200                     250      2.0                       4596.090346   \n",
       "400                     250      2.0                       3450.558321   \n",
       "600                     250      2.0                       3397.414295   \n",
       "800                     250      2.0                       3052.437036   \n",
       "1000                    250      2.0                       3063.303495   \n",
       "1300                    250      2.0                       2820.264334   \n",
       "1600                    250      2.0                       2910.109034   \n",
       "2000                    250      2.0                       3203.534566   \n",
       "200                     700      6.0                       4587.169880   \n",
       "400                     700      6.0                        802.820675   \n",
       "600                     700      6.0                        962.416736   \n",
       "800                     700      6.0                        713.040745   \n",
       "1000                    700      6.0                        656.148700   \n",
       "1300                    700      6.0                       4658.095743   \n",
       "1600                    700      6.0                       9281.800945   \n",
       "2000                    700      6.0                       4753.615492   \n",
       "200                     700      2.0                       7988.160028   \n",
       "400                     700      2.0                        605.182456   \n",
       "600                     700      2.0                        528.381917   \n",
       "800                     700      2.0                        666.206502   \n",
       "1000                    700      2.0                        677.505899   \n",
       "1300                    700      2.0                       4051.829525   \n",
       "1600                    700      2.0                       3599.077303   \n",
       "2000                    700      2.0                       3476.752030   \n",
       "200                     700      12.0                      3502.314797   \n",
       "400                     700      12.0                      1384.013764   \n",
       "600                     700      12.0                      1880.415290   \n",
       "800                     700      12.0                      2031.539270   \n",
       "1000                    700      12.0                     15952.403679   \n",
       "1300                    700      12.0                     15121.483252   \n",
       "1600                    700      12.0                     14577.451935   \n",
       "2000                    700      12.0                     14311.829949   \n",
       "\n",
       "                                               descent_power  \\\n",
       "battery_specific_energy airspeed aspect_ratio                  \n",
       "200                     250      12.0           3.491761e+02   \n",
       "400                     250      12.0           3.148705e+02   \n",
       "600                     250      12.0           6.471690e+02   \n",
       "800                     250      12.0           4.380534e+03   \n",
       "1000                    250      12.0           2.664236e+03   \n",
       "1300                    250      12.0           9.963302e+02   \n",
       "1600                    250      12.0           6.490366e+03   \n",
       "2000                    250      12.0           8.688509e+06   \n",
       "200                     250      6.0            5.540572e+03   \n",
       "400                     250      6.0            1.639097e+03   \n",
       "600                     250      6.0            2.987343e+02   \n",
       "800                     250      6.0            1.313414e+03   \n",
       "1000                    250      6.0            1.579719e+03   \n",
       "1300                    250      6.0            7.657558e+03   \n",
       "1600                    250      6.0            3.012802e+03   \n",
       "2000                    250      6.0            2.695011e+02   \n",
       "200                     250      2.0            2.490612e+03   \n",
       "400                     250      2.0            3.390487e+03   \n",
       "600                     250      2.0            6.881424e+03   \n",
       "800                     250      2.0            2.215735e+03   \n",
       "1000                    250      2.0            9.645395e+02   \n",
       "1300                    250      2.0            2.827020e+03   \n",
       "1600                    250      2.0            1.684574e+03   \n",
       "2000                    250      2.0            2.898407e+04   \n",
       "200                     700      6.0            1.371578e+03   \n",
       "400                     700      6.0            1.447052e+07   \n",
       "600                     700      6.0            2.496159e+06   \n",
       "800                     700      6.0            4.113513e+02   \n",
       "1000                    700      6.0            2.986781e+05   \n",
       "1300                    700      6.0            9.787536e+04   \n",
       "1600                    700      6.0            1.251972e+04   \n",
       "2000                    700      6.0            5.005879e+04   \n",
       "200                     700      2.0            2.181327e+00   \n",
       "400                     700      2.0            4.306470e+06   \n",
       "600                     700      2.0            1.648697e+07   \n",
       "800                     700      2.0            4.136468e+05   \n",
       "1000                    700      2.0            5.113787e+05   \n",
       "1300                    700      2.0            3.640719e+06   \n",
       "1600                    700      2.0            5.539305e+06   \n",
       "2000                    700      2.0            5.208220e+06   \n",
       "200                     700      12.0           1.446320e+04   \n",
       "400                     700      12.0           3.680453e+03   \n",
       "600                     700      12.0           1.031068e+04   \n",
       "800                     700      12.0           1.768665e+03   \n",
       "1000                    700      12.0           2.218971e+07   \n",
       "1300                    700      12.0           2.802636e+07   \n",
       "1600                    700      12.0           3.267637e+07   \n",
       "2000                    700      12.0           3.537668e+07   \n",
       "\n",
       "                                               flight_energy_frac  \\\n",
       "battery_specific_energy airspeed aspect_ratio                       \n",
       "200                     250      12.0                    0.999981   \n",
       "400                     250      12.0                    0.999991   \n",
       "600                     250      12.0                    0.999994   \n",
       "800                     250      12.0                    0.999995   \n",
       "1000                    250      12.0                    0.999996   \n",
       "1300                    250      12.0                    0.999997   \n",
       "1600                    250      12.0                    0.999998   \n",
       "2000                    250      12.0                    0.999998   \n",
       "200                     250      6.0                     0.999981   \n",
       "400                     250      6.0                     0.999991   \n",
       "600                     250      6.0                     0.999994   \n",
       "800                     250      6.0                     0.999995   \n",
       "1000                    250      6.0                     0.999996   \n",
       "1300                    250      6.0                     0.999997   \n",
       "1600                    250      6.0                     0.999998   \n",
       "2000                    250      6.0                     0.999998   \n",
       "200                     250      2.0                     0.999981   \n",
       "400                     250      2.0                     0.999991   \n",
       "600                     250      2.0                     0.999994   \n",
       "800                     250      2.0                     0.999995   \n",
       "1000                    250      2.0                     0.999996   \n",
       "1300                    250      2.0                     0.999997   \n",
       "1600                    250      2.0                     0.999998   \n",
       "2000                    250      2.0                     0.999998   \n",
       "200                     700      6.0                     0.999981   \n",
       "400                     700      6.0                     0.999991   \n",
       "600                     700      6.0                     0.999994   \n",
       "800                     700      6.0                     0.999995   \n",
       "1000                    700      6.0                     0.999996   \n",
       "1300                    700      6.0                     0.999997   \n",
       "1600                    700      6.0                     0.999998   \n",
       "2000                    700      6.0                     0.999998   \n",
       "200                     700      2.0                     0.999981   \n",
       "400                     700      2.0                     0.999991   \n",
       "600                     700      2.0                     0.999994   \n",
       "800                     700      2.0                     0.999995   \n",
       "1000                    700      2.0                     0.999996   \n",
       "1300                    700      2.0                     0.999997   \n",
       "1600                    700      2.0                     0.999998   \n",
       "2000                    700      2.0                     0.999998   \n",
       "200                     700      12.0                    0.999981   \n",
       "400                     700      12.0                    0.999991   \n",
       "600                     700      12.0                    0.999994   \n",
       "800                     700      12.0                    0.999995   \n",
       "1000                    700      12.0                    0.999996   \n",
       "1300                    700      12.0                    0.999997   \n",
       "1600                    700      12.0                    0.999998   \n",
       "2000                    700      12.0                    0.999998   \n",
       "\n",
       "                                                       loss  min_altitude_rel  \\\n",
       "battery_specific_energy airspeed aspect_ratio                                   \n",
       "200                     250      12.0         -7.690314e+11          7.326053   \n",
       "400                     250      12.0         -3.688224e+12          7.347408   \n",
       "600                     250      12.0         -8.790452e+12          7.323282   \n",
       "800                     250      12.0         -1.607742e+13          7.268861   \n",
       "1000                    250      12.0         -2.555280e+13          7.390379   \n",
       "1300                    250      12.0         -4.387426e+13          7.362315   \n",
       "1600                    250      12.0         -6.711878e+13          7.338683   \n",
       "2000                    250      12.0         -9.344488e+13          2.124307   \n",
       "200                     250      6.0          -4.483180e+11          7.272244   \n",
       "400                     250      6.0          -2.210789e+12          7.226221   \n",
       "600                     250      6.0          -5.324451e+12          7.211448   \n",
       "800                     250      6.0          -9.788956e+12          7.194287   \n",
       "1000                    250      6.0          -1.560463e+13          7.174913   \n",
       "1300                    250      6.0          -2.686469e+13          7.237875   \n",
       "1600                    250      6.0          -4.118190e+13          7.172207   \n",
       "2000                    250      6.0          -6.500372e+13          7.177593   \n",
       "200                     250      2.0          -1.636552e+11          6.912848   \n",
       "400                     250      2.0          -8.733660e+11          6.982795   \n",
       "600                     250      2.0          -2.167852e+12          6.955098   \n",
       "800                     250      2.0          -4.046528e+12          6.923073   \n",
       "1000                    250      2.0          -6.507339e+12          6.981340   \n",
       "1300                    250      2.0          -1.129180e+13          6.846980   \n",
       "1600                    250      2.0          -1.739072e+13          6.842342   \n",
       "2000                    250      2.0          -2.755838e+13          7.123852   \n",
       "200                     700      6.0          -1.482203e+11          8.010748   \n",
       "400                     700      6.0          -5.374612e+11          7.734653   \n",
       "600                     700      6.0          -8.826414e+11          5.290965   \n",
       "800                     700      6.0          -2.277990e+12          0.626446   \n",
       "1000                    700      6.0          -3.961186e+12          0.200059   \n",
       "1300                    700      6.0          -7.200858e+12          8.003086   \n",
       "1600                    700      6.0          -1.179266e+13          8.020439   \n",
       "2000                    700      6.0          -2.015583e+13          8.014592   \n",
       "200                     700      2.0           1.779336e-02          7.997741   \n",
       "400                     700      2.0          -3.546447e+11          0.515743   \n",
       "600                     700      2.0          -5.700801e+11          0.207488   \n",
       "800                     700      2.0          -1.275902e+12          0.066610   \n",
       "1000                    700      2.0          -2.251822e+12          0.086612   \n",
       "1300                    700      2.0          -4.116156e+12          0.183646   \n",
       "1600                    700      2.0          -6.996513e+12          0.058094   \n",
       "2000                    700      2.0          -1.213744e+13          0.010206   \n",
       "200                     700      12.0         -3.257731e+11          8.044131   \n",
       "400                     700      12.0         -6.760625e+11          8.016753   \n",
       "600                     700      12.0         -1.057133e+12          8.049121   \n",
       "800                     700      12.0         -1.530174e+12          8.008049   \n",
       "1000                    700      12.0         -1.890767e+12          8.098772   \n",
       "1300                    700      12.0         -3.195053e+12          8.046072   \n",
       "1600                    700      12.0         -4.920000e+12          8.076883   \n",
       "2000                    700      12.0         -7.839846e+12          8.016103   \n",
       "\n",
       "                                               reserve_airspeed  \\\n",
       "battery_specific_energy airspeed aspect_ratio                     \n",
       "200                     250      12.0                 70.769708   \n",
       "400                     250      12.0                 72.357622   \n",
       "600                     250      12.0                 73.850696   \n",
       "800                     250      12.0                 73.715865   \n",
       "1000                    250      12.0                 73.814520   \n",
       "1300                    250      12.0                 74.485378   \n",
       "1600                    250      12.0                 74.333542   \n",
       "2000                    250      12.0                 78.909379   \n",
       "200                     250      6.0                  67.866197   \n",
       "400                     250      6.0                  71.343983   \n",
       "600                     250      6.0                  71.554059   \n",
       "800                     250      6.0                  72.136773   \n",
       "1000                    250      6.0                  72.046787   \n",
       "1300                    250      6.0                  75.269569   \n",
       "1600                    250      6.0                  72.717742   \n",
       "2000                    250      6.0                  72.373476   \n",
       "200                     250      2.0                  58.284447   \n",
       "400                     250      2.0                  65.296961   \n",
       "600                     250      2.0                  68.223437   \n",
       "800                     250      2.0                  67.580810   \n",
       "1000                    250      2.0                  67.997282   \n",
       "1300                    250      2.0                  68.659189   \n",
       "1600                    250      2.0                  69.373073   \n",
       "2000                    250      2.0                  67.877048   \n",
       "200                     700      6.0                  80.813166   \n",
       "400                     700      6.0                  99.848871   \n",
       "600                     700      6.0                  90.539700   \n",
       "800                     700      6.0                  84.925438   \n",
       "1000                    700      6.0                  87.021886   \n",
       "1300                    700      6.0                 138.788367   \n",
       "1600                    700      6.0                 113.685313   \n",
       "2000                    700      6.0                 140.926757   \n",
       "200                     700      2.0                  67.500853   \n",
       "400                     700      2.0                  93.259473   \n",
       "600                     700      2.0                 107.569237   \n",
       "800                     700      2.0                  79.826122   \n",
       "1000                    700      2.0                  81.019256   \n",
       "1300                    700      2.0                 139.644733   \n",
       "1600                    700      2.0                 151.084679   \n",
       "2000                    700      2.0                 154.943461   \n",
       "200                     700      12.0                 92.981238   \n",
       "400                     700      12.0                 88.923995   \n",
       "600                     700      12.0                 89.203695   \n",
       "800                     700      12.0                 90.221837   \n",
       "1000                    700      12.0                 97.259034   \n",
       "1300                    700      12.0                105.348042   \n",
       "1600                    700      12.0                110.648376   \n",
       "2000                    700      12.0                114.986237   \n",
       "\n",
       "                                               reserve_altitude_rel  \\\n",
       "battery_specific_energy airspeed aspect_ratio                         \n",
       "200                     250      12.0                  9.409761e-05   \n",
       "400                     250      12.0                  5.948009e-04   \n",
       "600                     250      12.0                  2.566333e-03   \n",
       "800                     250      12.0                  7.531302e-04   \n",
       "1000                    250      12.0                  5.445675e-03   \n",
       "1300                    250      12.0                  4.853473e-06   \n",
       "1600                    250      12.0                  1.403066e-03   \n",
       "2000                    250      12.0                  2.083037e-03   \n",
       "200                     250      6.0                   9.695985e-04   \n",
       "400                     250      6.0                   2.111213e-06   \n",
       "600                     250      6.0                   8.962558e-05   \n",
       "800                     250      6.0                   1.343923e-03   \n",
       "1000                    250      6.0                   1.112570e-03   \n",
       "1300                    250      6.0                   4.705230e-03   \n",
       "1600                    250      6.0                   2.382725e-03   \n",
       "2000                    250      6.0                   6.486290e-04   \n",
       "200                     250      2.0                   2.327813e-03   \n",
       "400                     250      2.0                   1.613868e-03   \n",
       "600                     250      2.0                   2.594993e-03   \n",
       "800                     250      2.0                   1.590114e-07   \n",
       "1000                    250      2.0                   7.451119e-03   \n",
       "1300                    250      2.0                   9.407443e-05   \n",
       "1600                    250      2.0                   4.613078e-03   \n",
       "2000                    250      2.0                   1.077165e-03   \n",
       "200                     700      6.0                   1.194211e-03   \n",
       "400                     700      6.0                   3.311182e-04   \n",
       "600                     700      6.0                   2.860267e-03   \n",
       "800                     700      6.0                   4.190054e-03   \n",
       "1000                    700      6.0                   4.720048e-03   \n",
       "1300                    700      6.0                   3.428972e-04   \n",
       "1600                    700      6.0                   2.270960e-03   \n",
       "2000                    700      6.0                   1.621318e-03   \n",
       "200                     700      2.0                  -2.510515e-04   \n",
       "400                     700      2.0                   7.919613e-03   \n",
       "600                     700      2.0                   1.116858e-05   \n",
       "800                     700      2.0                   5.247332e-03   \n",
       "1000                    700      2.0                   6.312421e-03   \n",
       "1300                    700      2.0                   2.693982e-04   \n",
       "1600                    700      2.0                   1.156526e-03   \n",
       "2000                    700      2.0                   2.369945e-03   \n",
       "200                     700      12.0                  4.903424e-03   \n",
       "400                     700      12.0                  1.861461e-03   \n",
       "600                     700      12.0                  5.457884e-03   \n",
       "800                     700      12.0                  8.943491e-04   \n",
       "1000                    700      12.0                  1.097470e-02   \n",
       "1300                    700      12.0                  5.119075e-03   \n",
       "1600                    700      12.0                  8.542530e-03   \n",
       "2000                    700      12.0                  1.789199e-03   \n",
       "\n",
       "                                               reserve_ending_altitude  \\\n",
       "battery_specific_energy airspeed aspect_ratio                            \n",
       "200                     250      12.0                       450.042344   \n",
       "400                     250      12.0                       450.267660   \n",
       "600                     250      12.0                       451.154850   \n",
       "800                     250      12.0                       450.338909   \n",
       "1000                    250      12.0                       452.450554   \n",
       "1300                    250      12.0                       450.002184   \n",
       "1600                    250      12.0                       450.631380   \n",
       "2000                    250      12.0                       450.937366   \n",
       "200                     250      6.0                        450.436319   \n",
       "400                     250      6.0                        450.000950   \n",
       "600                     250      6.0                        450.040332   \n",
       "800                     250      6.0                        450.604765   \n",
       "1000                    250      6.0                        450.500656   \n",
       "1300                    250      6.0                        452.117354   \n",
       "1600                    250      6.0                        451.072226   \n",
       "2000                    250      6.0                        450.291883   \n",
       "200                     250      2.0                        451.047516   \n",
       "400                     250      2.0                        450.726241   \n",
       "600                     250      2.0                        451.167747   \n",
       "800                     250      2.0                        450.000072   \n",
       "1000                    250      2.0                        453.353003   \n",
       "1300                    250      2.0                        450.042333   \n",
       "1600                    250      2.0                        452.075885   \n",
       "2000                    250      2.0                        450.484724   \n",
       "200                     700      6.0                        450.537395   \n",
       "400                     700      6.0                        450.149003   \n",
       "600                     700      6.0                        451.287120   \n",
       "800                     700      6.0                        451.885524   \n",
       "1000                    700      6.0                        452.124021   \n",
       "1300                    700      6.0                        450.154304   \n",
       "1600                    700      6.0                        451.021932   \n",
       "2000                    700      6.0                        450.729593   \n",
       "200                     700      2.0                        449.887027   \n",
       "400                     700      2.0                        453.563826   \n",
       "600                     700      2.0                        450.005026   \n",
       "800                     700      2.0                        452.361299   \n",
       "1000                    700      2.0                        452.840590   \n",
       "1300                    700      2.0                        450.121229   \n",
       "1600                    700      2.0                        450.520437   \n",
       "2000                    700      2.0                        451.066475   \n",
       "200                     700      12.0                       452.206541   \n",
       "400                     700      12.0                       450.837657   \n",
       "600                     700      12.0                       452.456048   \n",
       "800                     700      12.0                       450.402457   \n",
       "1000                    700      12.0                       454.938615   \n",
       "1300                    700      12.0                       452.303584   \n",
       "1600                    700      12.0                       453.844139   \n",
       "2000                    700      12.0                       450.805139   \n",
       "\n",
       "                                               reserve_ending_distance  \\\n",
       "battery_specific_energy airspeed aspect_ratio                            \n",
       "200                     250      12.0                     1.073685e+06   \n",
       "400                     250      12.0                     2.121473e+06   \n",
       "600                     250      12.0                     3.169872e+06   \n",
       "800                     250      12.0                     4.214304e+06   \n",
       "1000                    250      12.0                     5.259882e+06   \n",
       "1300                    250      12.0                     6.830458e+06   \n",
       "1600                    250      12.0                     8.398887e+06   \n",
       "2000                    250      12.0                     9.888122e+06   \n",
       "200                     250      6.0                      8.576342e+05   \n",
       "400                     250      6.0                      1.684658e+06   \n",
       "600                     250      6.0                      2.505855e+06   \n",
       "800                     250      6.0                      3.328740e+06   \n",
       "1000                    250      6.0                      4.150105e+06   \n",
       "1300                    250      6.0                      5.391568e+06   \n",
       "1600                    250      6.0                      6.618923e+06   \n",
       "2000                    250      6.0                      8.263236e+06   \n",
       "200                     250      2.0                      5.660638e+05   \n",
       "400                     250      2.0                      1.115462e+06   \n",
       "600                     250      2.0                      1.661226e+06   \n",
       "800                     250      2.0                      2.198831e+06   \n",
       "1000                    250      2.0                      2.739305e+06   \n",
       "1300                    250      2.0                      3.550544e+06   \n",
       "1600                    250      2.0                      4.362343e+06   \n",
       "2000                    250      2.0                      5.437632e+06   \n",
       "200                     700      6.0                      6.092629e+05   \n",
       "400                     700      6.0                      1.011488e+06   \n",
       "600                     700      6.0                      1.191805e+06   \n",
       "800                     700      6.0                      1.744895e+06   \n",
       "1000                    700      6.0                      2.231516e+06   \n",
       "1300                    700      6.0                      3.072481e+06   \n",
       "1600                    700      6.0                      3.754822e+06   \n",
       "2000                    700      6.0                      4.884333e+06   \n",
       "200                     700      2.0                      2.988252e+05   \n",
       "400                     700      2.0                      8.543971e+05   \n",
       "600                     700      2.0                      1.054007e+06   \n",
       "800                     700      2.0                      1.350483e+06   \n",
       "1000                    700      2.0                      1.724858e+06   \n",
       "1300                    700      2.0                      2.420317e+06   \n",
       "1600                    700      2.0                      3.067594e+06   \n",
       "2000                    700      2.0                      3.916774e+06   \n",
       "200                     700      12.0                     8.287285e+05   \n",
       "400                     700      12.0                     1.070787e+06   \n",
       "600                     700      12.0                     1.277478e+06   \n",
       "800                     700      12.0                     1.489065e+06   \n",
       "1000                    700      12.0                     1.649926e+06   \n",
       "1300                    700      12.0                     2.085113e+06   \n",
       "1600                    700      12.0                     2.530540e+06   \n",
       "2000                    700      12.0                     3.124502e+06   \n",
       "\n",
       "                                               reserve_power  sweep_angle  \\\n",
       "battery_specific_energy airspeed aspect_ratio                               \n",
       "200                     250      12.0           1.715637e+02     0.523202   \n",
       "400                     250      12.0           2.914363e+02     0.523562   \n",
       "600                     250      12.0           5.984925e+02     0.523579   \n",
       "800                     250      12.0           6.686136e+02     0.523386   \n",
       "1000                    250      12.0           1.579703e+03     0.523472   \n",
       "1300                    250      12.0           4.687005e+02     0.523566   \n",
       "1600                    250      12.0           3.777457e+03     0.523358   \n",
       "2000                    250      12.0           3.510764e+04     0.523260   \n",
       "200                     250      6.0            3.387359e+05     0.520619   \n",
       "400                     250      6.0            6.297642e+05     0.523468   \n",
       "600                     250      6.0            6.746213e+05     0.523546   \n",
       "800                     250      6.0            7.215934e+05     0.523570   \n",
       "1000                    250      6.0            7.736719e+05     0.523392   \n",
       "1300                    250      6.0            7.359951e+05     0.523300   \n",
       "1600                    250      6.0            7.702151e+05     0.523435   \n",
       "2000                    250      6.0            8.124264e+05     0.523474   \n",
       "200                     250      2.0            7.887757e+05     0.523753   \n",
       "400                     250      2.0            1.409168e+06     0.523800   \n",
       "600                     250      2.0            1.519237e+06     0.523884   \n",
       "800                     250      2.0            1.631912e+06     0.523620   \n",
       "1000                    250      2.0            1.649166e+06     0.523789   \n",
       "1300                    250      2.0            1.726386e+06     0.523608   \n",
       "1600                    250      2.0            1.733338e+06     0.523659   \n",
       "2000                    250      2.0            1.686553e+06     0.524036   \n",
       "200                     700      6.0            1.873788e+06     0.523544   \n",
       "400                     700      6.0            7.232154e+06     0.523536   \n",
       "600                     700      6.0            5.132688e+06     0.935531   \n",
       "800                     700      6.0            4.339566e+06     1.180895   \n",
       "1000                    700      6.0            4.811386e+06     1.189309   \n",
       "1300                    700      6.0            1.887710e+07     1.208464   \n",
       "1600                    700      6.0            7.071587e+06     1.203511   \n",
       "2000                    700      6.0            1.941424e+07     1.215354   \n",
       "200                     700      2.0            8.042433e+05     0.922508   \n",
       "400                     700      2.0            5.644169e+06     0.746257   \n",
       "600                     700      2.0            8.788373e+06     0.889599   \n",
       "800                     700      2.0            3.424162e+06     1.247075   \n",
       "1000                    700      2.0            3.847341e+06     1.266011   \n",
       "1300                    700      2.0            1.923638e+07     1.303406   \n",
       "1600                    700      2.0            2.551639e+07     1.308343   \n",
       "2000                    700      2.0            2.731699e+07     1.314880   \n",
       "200                     700      12.0           3.588596e+06     0.523472   \n",
       "400                     700      12.0           4.805311e+06     0.523599   \n",
       "600                     700      12.0           4.545293e+06     0.523580   \n",
       "800                     700      12.0           4.452372e+06     0.523596   \n",
       "1000                    700      12.0           1.566682e+06     0.834975   \n",
       "1300                    700      12.0           3.499413e+06     0.910928   \n",
       "1600                    700      12.0           4.849875e+06     0.930122   \n",
       "2000                    700      12.0           5.743238e+06     0.945158   \n",
       "\n",
       "                                               total_distance   wing_area  \\\n",
       "battery_specific_energy airspeed aspect_ratio                               \n",
       "200                     250      12.0            8.769443e+05  399.978968   \n",
       "400                     250      12.0            1.920475e+06  399.984337   \n",
       "600                     250      12.0            2.964870e+06  399.970787   \n",
       "800                     250      12.0            4.009666e+06  399.992204   \n",
       "1000                    250      12.0            5.054978e+06  399.993218   \n",
       "1300                    250      12.0            6.623765e+06  399.994191   \n",
       "1600                    250      12.0            8.192605e+06  399.995597   \n",
       "2000                    250      12.0            9.666689e+06  399.993895   \n",
       "200                     250      6.0             6.695656e+05  399.968889   \n",
       "400                     250      6.0             1.486872e+06  399.928969   \n",
       "600                     250      6.0             2.307477e+06  399.947475   \n",
       "800                     250      6.0             3.128731e+06  399.988985   \n",
       "1000                    250      6.0             3.950270e+06  399.979662   \n",
       "1300                    250      6.0             5.183116e+06  399.988935   \n",
       "1600                    250      6.0             6.417313e+06  399.969812   \n",
       "2000                    250      6.0             8.062488e+06  399.995966   \n",
       "200                     250      2.0             4.045433e+05  399.994647   \n",
       "400                     250      2.0             9.345405e+05  399.814236   \n",
       "600                     250      2.0             1.472363e+06  399.815655   \n",
       "800                     250      2.0             2.011598e+06  399.976370   \n",
       "1000                    250      2.0             2.550949e+06  399.967161   \n",
       "1300                    250      2.0             3.360327e+06  399.986270   \n",
       "1600                    250      2.0             4.170218e+06  399.993840   \n",
       "2000                    250      2.0             5.249607e+06  399.985144   \n",
       "200                     700      6.0             3.849938e+05  399.981918   \n",
       "400                     700      6.0             7.331174e+05  399.999145   \n",
       "600                     700      6.0             9.394900e+05  399.940304   \n",
       "800                     700      6.0             1.509301e+06  399.994537   \n",
       "1000                    700      6.0             1.990273e+06  399.969702   \n",
       "1300                    700      6.0             2.683441e+06  399.995016   \n",
       "1600                    700      6.0             3.434044e+06  399.999331   \n",
       "2000                    700      6.0             4.489524e+06  399.993886   \n",
       "200                     700      2.0             1.139812e+05  399.999976   \n",
       "400                     700      2.0             5.955206e+05  399.946550   \n",
       "600                     700      2.0             7.550365e+05  399.980777   \n",
       "800                     700      2.0             1.129559e+06  399.973879   \n",
       "1000                    700      2.0             1.500607e+06  399.973590   \n",
       "1300                    700      2.0             2.028831e+06  399.981526   \n",
       "1600                    700      2.0             2.645092e+06  399.998593   \n",
       "2000                    700      2.0             3.483884e+06  399.997186   \n",
       "200                     700      12.0            5.707653e+05  399.974017   \n",
       "400                     700      12.0            8.222302e+05  399.983906   \n",
       "600                     700      12.0            1.028170e+06  399.997905   \n",
       "800                     700      12.0            1.237002e+06  399.995219   \n",
       "1000                    700      12.0            1.375052e+06  399.988377   \n",
       "1300                    700      12.0            1.787471e+06  399.984669   \n",
       "1600                    700      12.0            2.218107e+06  399.993939   \n",
       "2000                    700      12.0            2.799973e+06  399.986019   \n",
       "\n",
       "                                                wingspan  \n",
       "battery_specific_energy airspeed aspect_ratio             \n",
       "200                     250      12.0          60.012176  \n",
       "400                     250      12.0          60.000108  \n",
       "600                     250      12.0          59.998492  \n",
       "800                     250      12.0          60.006789  \n",
       "1000                    250      12.0          60.003872  \n",
       "1300                    250      12.0          60.000698  \n",
       "1600                    250      12.0          60.008015  \n",
       "2000                    250      12.0          60.011269  \n",
       "200                     250      6.0           42.497554  \n",
       "400                     250      6.0           42.425851  \n",
       "600                     250      6.0           42.424923  \n",
       "800                     250      6.0           42.426526  \n",
       "1000                    250      6.0           42.430388  \n",
       "1300                    250      6.0           42.433133  \n",
       "1600                    250      6.0           42.428805  \n",
       "2000                    250      6.0           42.429250  \n",
       "200                     250      2.0           24.492556  \n",
       "400                     250      2.0           24.486363  \n",
       "600                     250      2.0           24.485212  \n",
       "800                     250      2.0           24.493874  \n",
       "1000                    250      2.0           24.491200  \n",
       "1300                    250      2.0           24.494349  \n",
       "1600                    250      2.0           24.493854  \n",
       "2000                    250      2.0           24.488253  \n",
       "200                     700      6.0           42.426782  \n",
       "400                     700      6.0           42.427903  \n",
       "600                     700      6.0           29.067939  \n",
       "800                     700      6.0           18.620761  \n",
       "1000                    700      6.0           18.238286  \n",
       "1300                    700      6.0           17.364628  \n",
       "1600                    700      6.0           17.591403  \n",
       "2000                    700      6.0           17.048579  \n",
       "200                     700      2.0           17.078696  \n",
       "400                     700      2.0           20.765927  \n",
       "600                     700      2.0           17.810836  \n",
       "800                     700      2.0            8.996846  \n",
       "1000                    700      2.0            8.487514  \n",
       "1300                    700      2.0            7.472955  \n",
       "1600                    700      2.0            7.338356  \n",
       "2000                    700      2.0            7.159640  \n",
       "200                     700      12.0          60.002440  \n",
       "400                     700      12.0          59.998793  \n",
       "600                     700      12.0          60.000502  \n",
       "800                     700      12.0          59.999721  \n",
       "1000                    700      12.0          46.501177  \n",
       "1300                    700      12.0          42.469963  \n",
       "1600                    700      12.0          41.412075  \n",
       "2000                    700      12.0          40.571876  "
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(\n",
    "    pd.DataFrame(plane_samples.values(), index=plane_samples.keys())\n",
    "    .reset_index()\n",
    "    .rename(columns={'level_0': 'battery_specific_energy', 'level_1': 'airspeed', 'level_2': 'aspect_ratio'})\n",
    "    .set_index(['battery_specific_energy', 'airspeed', 'aspect_ratio'])\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " "
   ]
  }
 ],
 "metadata": {
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    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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