Inertia-gravity waves

This example simulates the propagation of inertia-gravity waves in a stably stratified atmosphere, following the classical benchmark test case described by Skamarock and Klemp (1994). This test evaluates the accuracy of numerical pressure solvers by introducing a small-amplitude temperature perturbation into a stratified environment with constant Brunt-Väisälä frequency, triggering propagating inertia-gravity waves.

The test case is particularly useful for validating anelastic and compressible solvers, as discussed at the CM1 inertia-gravity wave test page.

Physical setup

The background state is a stably stratified atmosphere with constant Brunt-Väisälä frequency $N$, which gives a potential temperature profile

\[θ^{\rm bg}(z) = θ_0 \exp\left( \frac{N^2 z}{g} \right)\]

where $θ_0 = 300 \, {\rm K}$ is the surface potential temperature and $g$ is the gravitational acceleration.

The initial perturbation is a localized temperature anomaly centered at $x = x_0$:

\[θ'(x, z) = Δθ \frac{\sin(π z / L_z)}{1 + (x - x_0)^2 / a^2}\]

with amplitude $Δθ = 0.01 \, {\rm K}$, half-width parameter $a = 5000 \, {\rm m}$, and perturbation center $x_0 = L_x / 3$. A uniform mean wind $U = 20 \, {\rm m \, s^{-1}}$ advects the waves.

Comparison of dynamical formulations

We compare four dynamical formulations:

1. Anelastic: Filters acoustic waves via the anelastic approximation
2. Boussinesq: Anelastic with constant reference density
3. Compressible (explicit): Fully compressible with explicit time stepping (small Δt)
4. Compressible (split-explicit / substepper): Wicker–Skamarock RK3 with acoustic substepping — uses the advective $Δt$ for the outer step and absorbs acoustic modes in an inner loop with an auto-computed substep count.

using Breeze
using Oceananigans: Oceananigans
using Oceananigans.Units
using Printf
using CairoMakie

Problem parameters

We define the thermodynamic base state and mean wind following Skamarock and Klemp (1994):

p₀ = 100000  # Pa - surface pressure
θ₀ = 300     # K - reference potential temperature
U  = 20      # m s⁻¹ - mean wind
N² = 0.01^2  # s⁻² - Brunt-Väisälä frequency squared

0.0001

Grid configuration

The domain is 300 km × 10 km with 300 × 10 grid points, matching the nonhydrostatic case configuration in the paper by Skamarock and Klemp (1994).

Nx, Nz = 300, 10
Lx, Lz = 300kilometers, 10kilometers

grid = RectilinearGrid(CPU(), size=(Nx, Nz), halo=(5, 5),
                       x=(0, Lx), z=(0, Lz),
                       topology=(Periodic, Flat, Bounded))

300×1×10 RectilinearGrid{Float64, Periodic, Flat, Bounded} on CPU with 5×0×5 halo
├── Periodic x ∈ [0.0, 300000.0) regularly spaced with Δx=1000.0
├── Flat y                       
└── Bounded  z ∈ [0.0, 10000.0]  regularly spaced with Δz=1000.0

Initial conditions

The perturbation parameters from the paper by Skamarock and Klemp (1994):

Δθ = 0.01    # K - perturbation amplitude
a  = 5000    # m - perturbation half-width parameter
x₀ = Lx / 3  # m - perturbation center in x

constants = ThermodynamicConstants()
g = constants.gravitational_acceleration
pˢᵗ = 1e5

θᵇᵍ(z) = θ₀ * exp(N² * z / g)
θᵢ(x, z) = θᵇᵍ(z) + Δθ * sin(π * z / Lz) / (1 + (x - x₀)^2 / a^2)
ρᵢ(x, z) = adiabatic_hydrostatic_density(z, p₀, θ₀, pˢᵗ, constants)

ρᵢ (generic function with 1 method)

Build all four models

advection = WENO()
surface_pressure = p₀
potential_temperature = θ₀

300

Case 1: Anelastic

reference_state = ReferenceState(grid, constants; surface_pressure, potential_temperature)
anelastic_dynamics = AnelasticDynamics(reference_state)

AnelasticDynamics(p₀=100000.0, θ₀=300.0)
└── pressure_anomaly: not materialized

Case 2: Boussinesq (constant reference density)

constant_density_reference_state = ReferenceState(grid, constants; surface_pressure, potential_temperature)
ρ₀ = adiabatic_hydrostatic_density(0, p₀, θ₀, pˢᵗ, constants)
set!(constant_density_reference_state.density, ρ₀)
boussinesq_dynamics = AnelasticDynamics(constant_density_reference_state)

AnelasticDynamics(p₀=100000.0, θ₀=300.0)
└── pressure_anomaly: not materialized

Case 3: Compressible (fully explicit, no substepping)

compressible_dynamics = CompressibleDynamics(ExplicitTimeStepping();
                                             surface_pressure,
                                             reference_potential_temperature = θᵇᵍ)

CompressibleDynamics{ExplicitTimeStepping}
├── density: not materialized
├── pressure: not materialized
├── terrain_metrics: Nothing
├── time_discretization: ExplicitTimeStepping
└── reference_state: θᵇᵍ (generic function with 1 method)

Case 4: Compressible split-explicit (substepper)

Wicker–Skamarock RK3 acoustic substepping with the default ThermalDivergenceDamping (coefficient $0.1$) and an auto-computed substep count chosen from the horizontal acoustic CFL each step.

substepper_dynamics = CompressibleDynamics(SplitExplicitTimeDiscretization();
                                           surface_pressure,
                                           reference_potential_temperature = θᵇᵍ)

CompressibleDynamics{SplitExplicitTimeDiscretization}
├── density: not materialized
├── pressure: not materialized
├── terrain_metrics: Nothing
├── time_discretization: SplitExplicitTimeDiscretization
└── reference_state: θᵇᵍ (generic function with 1 method)

Build all models:

models = Dict(
    :anelastic    => AtmosphereModel(grid; advection, dynamics=anelastic_dynamics),
    :boussinesq   => AtmosphereModel(grid; advection, dynamics=boussinesq_dynamics),
    :compressible => AtmosphereModel(grid; advection, dynamics=compressible_dynamics),
    :substepper   => AtmosphereModel(grid; advection, dynamics=substepper_dynamics),
)

Set initial conditions:

for name in (:anelastic, :boussinesq)
    set!(models[name]; θ=θᵢ, u=U)
end

for name in (:compressible, :substepper)
    ref = models[name].dynamics.reference_state
    set!(models[name]; θ=θᵢ, u=U, qᵗ=0, ρ=ref.density)
end

Time stepping constraints

The anelastic and split-explicit models use the advective CFL, while the fully explicit compressible model is limited by the sound speed.

Δx, Δz = Lx / Nx, Lz / Nz
Rᵈ = dry_air_gas_constant(constants)
cᵖᵈ = constants.dry_air.heat_capacity
ℂᵃᶜ = sqrt(cᵖᵈ / (cᵖᵈ - Rᵈ) * Rᵈ * θ₀)

cfl = 0.5
Δt_advective    = cfl * min(Δx, Δz) / U
Δt_compressible = cfl * min(Δx, Δz) / (ℂᵃᶜ + U)

time_steps = Dict(
    :anelastic    => Δt_advective,
    :boussinesq   => Δt_advective,
    :compressible => Δt_compressible,
    :substepper   => Δt_advective,
)

@info "Time steps" Δt_advective Δt_compressible

┌ Info: Time steps
│   Δt_advective = 25.0
└   Δt_compressible = 1.3618178767657314

Run all simulations

stop_time = 3000 # seconds

case_names = Dict(
    :anelastic    => "Anelastic",
    :boussinesq   => "Boussinesq",
    :compressible => "Compressible (explicit)",
    :substepper   => "Compressible (substepper)",
)

Dict{Symbol, String} with 4 entries:
  :compressible => "Compressible (explicit)"
  :boussinesq => "Boussinesq"
  :substepper => "Compressible (substepper)"
  :anelastic => "Anelastic"

Background θ field for computing perturbation

θᵇᵍ_field = CenterField(grid)
set!(θᵇᵍ_field, (x, z) -> θᵇᵍ(z))

simulations = Dict{Symbol, Simulation}()

for (key, model) in models
    Δt = time_steps[key]
    sim = Simulation(model; Δt, stop_time, verbose=false)
    Oceananigans.Diagnostics.erroring_NaNChecker!(sim)

    # Progress callback
    θ′ = PotentialTemperature(model) - θᵇᵍ_field
    name = case_names[key]

    function progress(sim)
        w = sim.model.velocities.w
        @info @sprintf("%s - Iter: %4d, t: %s, max(θ′): %.4e, max|w|: %.4f",
                       name, iteration(sim), prettytime(sim), maximum(θ′), maximum(abs, w))
        return nothing
    end

    callback_interval = key === :compressible ? IterationInterval(500) : IterationInterval(100)
    add_callback!(sim, progress, callback_interval)

    # Output
    outputs = merge(model.velocities, (; θ′))
    sim.output_writers[:jld2] = JLD2Writer(model, outputs;
                                           filename = "igw_$(key).jld2",
                                           schedule = TimeInterval(100),
                                           overwrite_existing = true)
    simulations[key] = sim
end

for (key, sim) in simulations
    @info "Running $(case_names[key])..."
    run!(sim)
end

[ Info: Running Compressible (explicit)...
[ Info: Compressible (explicit) - Iter:    0, t: 0 seconds, max(θ′): 9.7791e-03, max|w|: 0.0000
[ Info: Compressible (explicit) - Iter:  500, t: 11.271 minutes, max(θ′): 3.9610e-03, max|w|: 0.0062
[ Info: Compressible (explicit) - Iter: 1000, t: 22.529 minutes, max(θ′): 3.3875e-03, max|w|: 0.0046
[ Info: Compressible (explicit) - Iter: 1500, t: 33.787 minutes, max(θ′): 3.0844e-03, max|w|: 0.0036
[ Info: Compressible (explicit) - Iter: 2000, t: 45.045 minutes, max(θ′): 2.8742e-03, max|w|: 0.0028
[ Info: Running Boussinesq...
[ Info: Boussinesq - Iter:    0, t: 0 seconds, max(θ′): 9.7791e-03, max|w|: 0.0000
[ Info: Boussinesq - Iter:  100, t: 41.667 minutes, max(θ′): 2.8429e-03, max|w|: 0.0028
[ Info: Running Compressible (substepper)...
[ Info: Compressible (substepper) - Iter:    0, t: 0 seconds, max(θ′): 9.7791e-03, max|w|: 0.0000
[ Info: Compressible (substepper) - Iter:  100, t: 41.667 minutes, max(θ′): 2.9077e-03, max|w|: 0.0029
[ Info: Running Anelastic...
[ Info: Anelastic - Iter:    0, t: 0 seconds, max(θ′): 9.7791e-03, max|w|: 0.0000
[ Info: Anelastic - Iter:  100, t: 41.667 minutes, max(θ′): 2.9630e-03, max|w|: 0.0028

Results

We compare the potential temperature perturbation at the final time for all five formulations. This comparison reveals how well each formulation captures inertia-gravity wave propagation.

cases = [:anelastic, :boussinesq, :compressible, :substepper]
titles = [case_names[k] for k in cases]

θ′ts = Dict(k => FieldTimeSeries("igw_$(k).jld2", "θ′") for k in cases)
times = θ′ts[:anelastic].times
Nt = length(times)

x_km = range(0, Lx / 1000, length=Nx)
z_km = range(0, Lz / 1000, length=Nz)
levels = range(-Δθ / 2, stop=Δθ / 2, length=21)
θ′_final = Dict(k => interior(θ′ts[k][Nt], :, 1, :) for k in cases)

Dict{Symbol, SubArray{Float64, 2, Array{Float64, 4}, Tuple{UnitRange{Int64}, Int64, UnitRange{Int64}, Int64}, false}} with 4 entries:
  :compressible => [1.30669e-5 4.00307e-5 6.541e-5 8.60533e-5 9.94584e-5 0.000103677 9.76217e-5 8.11158e-5 5.49759e-5 2.02637e-5; 1.28774e-5 3.94319e-5 6.43655e-5 8.45329e-5 9.74674e-5 0.0001013 9.5063e-5 7.87236e-5 5.32048e-5 1.95764e-5; 1.2734e-5 3.89694e-5 6.35265e-5 8.32465e-5 9.56903e-5 9.90746e-5 9.25757e-5 7.63321e-5 5.14003e-5 1.88686e-5; 1.26289e-5 3.862e-5 6.28587e-5 8.21564e-5 9.40963e-5 9.69855e-5 9.01619e-5 7.39574e-5 4.95821e-5 1.81496e-5; 1.25545e-5 3.83622e-5 6.23319e-5 8.12352e-5 9.26731e-5 9.50448e-5 8.7859e-5 7.16515e-5 4.77977e-5 1.74397e-5; 1.25042e-5 3.81776e-5 6.19236e-5 8.04686e-5 9.14294e-5 9.32932e-5 8.57378e-5 6.95002e-5 4.61203e-5 1.67693e-5; 1.24726e-5 3.8052e-5 6.16191e-5 7.98553e-5 9.0391e-5 9.1792e-5 8.38921e-5 6.76107e-5 4.46389e-5 1.61753e-5; 1.24553e-5 3.79745e-5 6.14096e-5 7.94016e-5 8.95918e-5 9.06101e-5 8.24209e-5 6.60933e-5 4.34442e-5 1.5695e-5; 1.24488e-5 3.79373e-5 6.12898e-5 7.91163e-5 8.90647e-5 8.98099e-5 8.14108e-5 6.5043e-5 4.26141e-5 1.5361e-5; 1.24505e-5 3.79353e-5 6.1257e-5 7.90067e-5 8.88344e-5 8.94376e-5 8.0925e-5 6.45288e-5 4.22046e-5 1.51962e-5; 1.24595e-5 3.79665e-5 6.13109e-5 7.90785e-5 8.89157e-5 8.95186e-5 8.09974e-5 6.45868e-5 4.22449e-5 1.52125e-5; 1.24764e-5 3.80329e-5 6.14546e-5 7.93351e-5 8.93115e-5 9.00549e-5 8.16285e-5 6.5217e-5 4.27339e-5 1.54092e-5; 1.25033e-5 3.81395e-5 6.16933e-5 7.97765e-5 9.00116e-5 9.10229e-5 8.27841e-5 6.638e-5 4.36388e-5 1.57725e-5; 1.25435e-5 3.82941e-5 6.2033e-5 8.03975e-5 9.09914e-5 9.23742e-5 8.43956e-5 6.80001e-5 4.48973e-5 1.62768e-5; 1.26009e-5 3.85056e-5 6.24793e-5 8.11884e-5 9.22149e-5 9.40403e-5 8.63674e-5 6.99719e-5 4.64239e-5 1.68871e-5; 1.26795e-5 3.87828e-5 6.30376e-5 8.21375e-5 9.36404e-5 9.59422e-5 8.85891e-5 7.21747e-5 4.8121e-5 1.75633e-5; 1.2783e-5 3.9135e-5 6.37144e-5 8.32352e-5 9.52285e-5 9.80031e-5 9.0952e-5 7.44893e-5 4.98916e-5 1.82659e-5; 1.29156e-5 3.95722e-5 6.45187e-5 8.44777e-5 9.69497e-5 0.000100161 9.33664e-5 7.68157e-5 5.16534e-5 1.8961e-5; 1.30813e-5 4.01059e-5 6.54635e-5 8.58699e-5 9.87909e-5 0.000102379 9.5773e-5 7.9085e-5 5.33481e-5 1.96246e-5; 1.32845e-5 4.07486e-5 6.65654e-5 8.7426e-5 0.000100757 0.000104648 9.81487e-5 8.12648e-5 5.49461e-5 2.02438e-5; 1.35292e-5 4.1512e-5 6.78425e-5 8.91679e-5 0.000102871 0.000106988 0.000100507 8.33614e-5 5.64483e-5 2.08184e-5; 1.38178e-5 4.24048e-5 6.93119e-5 9.11227e-5 0.00010517 0.000109446 0.000102898 8.54212e-5 5.78887e-5 2.13616e-5; 1.41514e-5 4.34325e-5 7.09887e-5 9.3322e-5 0.000107707 0.000112094 0.000105408 8.75293e-5 5.93332e-5 2.18998e-5; 1.45301e-5 4.45983e-5 7.28875e-5 9.58014e-5 0.000110546 0.000115028 0.000108154 8.98039e-5 6.08741e-5 2.24701e-5; 1.49542e-5 4.59059e-5 7.50238e-5 9.86002e-5 0.00011376 0.000118356 0.000111271 9.23868e-5 6.2623e-5 2.31172e-5; 1.54248e-5 4.73613e-5 7.74163e-5 0.000101761 0.000117428 0.000122197 0.00011491 9.54311e-5 6.4701e-5 2.38897e-5; 1.59442e-5 4.89738e-5 8.00884e-5 0.000105333 0.000121632 0.00012667 0.000119215 9.90877e-5 6.72268e-5 2.48352e-5; 1.65165e-5 5.07586e-5 8.30714e-5 0.00010937 0.000126456 0.000131891 0.000124325 0.000103492 7.03047e-5 2.59949e-5; 1.71489e-5 5.2739e-5 8.64077e-5 0.000113937 0.000131991 0.000137969 0.000130359 0.000108759 7.402e-5 2.74021e-5; 1.78523e-5 5.49486e-5 9.01532e-5 0.000119111 0.000138327 0.000145007 0.000137423 0.000114982 7.84396e-5 2.90822e-5; 1.86414e-5 5.74316e-5 9.43778e-5 0.000124979 0.000145563 0.000153102 0.000145603 0.000122231 8.361e-5 3.10525e-5; 1.95341e-5 6.02413e-5 9.9164e-5 0.000131641 0.000153799 0.000162343 0.000154966 0.000130548 8.95541e-5 3.33202e-5; 2.05506e-5 6.34383e-5 0.000104603 0.000139201 0.000163135 0.000172804 0.000165557 0.000139949 9.62685e-5 3.58811e-5; 2.17129e-5 6.70873e-5 0.000110793 0.000147769 0.000173665 0.000184547 0.000177393 0.000150416 0.000103725 3.87208e-5; 2.30429e-5 7.12535e-5 0.000117828 0.000157448 0.000185474 0.000197619 0.000190473 0.000161914 0.000111877 4.18175e-5; 2.45604e-5 7.59948e-5 0.000125793 0.000168328 0.000198635 0.000212052 0.000204788 0.000174397 0.000120674 4.5148e-5; 2.62806e-5 8.1356e-5 0.000134754 0.000180479 0.000213201 0.00022787 0.000220321 0.000187824 0.000130072 4.86916e-5; 2.82139e-5 8.73669e-5 0.000144754 0.000193947 0.00022921 0.00024509 0.000237069 0.00020217 0.000140039 5.24338e-5; 3.03663e-5 9.40461e-5 0.000155822 0.00020877 0.000246704 0.000263753 0.000255058 0.000217447 0.000150578 5.63744e-5; 3.27412e-5 0.000101405 0.000167983 0.000224986 0.000265738 0.000283927 0.000274364 0.000233726 0.000161739 6.05328e-5; 3.53414e-5 0.000109455 0.000181261 0.000242643 0.000286388 0.000305716 0.000295111 0.000251128 0.000173618 6.49466e-5; 3.81731e-5 0.000118218 0.000195698 0.000261814 0.000308767 0.000329274 0.000317477 0.000269831 0.000186348 6.96682e-5; 4.12523e-5 0.000127743 0.000211389 0.000282644 0.000333074 0.000354847 0.000341737 0.000290093 0.000200121 7.47715e-5; 4.46093e-5 0.00013813 0.000228503 0.000305375 0.000359615 0.000382791 0.000368264 0.000312262 0.000215196 8.03575e-5; 4.82857e-5 0.000149508 0.000247265 0.000330315 0.000388763 0.000413511 0.000397468 0.000336713 0.000231853 8.65379e-5; 5.23269e-5 0.000162021 0.000267911 0.000357778 0.000420873 0.000447372 0.000429695 0.000363751 0.000250323 9.34042e-5; 5.67769e-5 0.000175805 0.000290665 0.000388054 0.000456275 0.000484703 0.000465247 0.000393628 0.000270779 0.000101023; 6.16754e-5 0.000190982 0.000315732 0.000421427 0.000495312 0.000525886 0.0005045 0.000426663 0.000293435 0.00010947; 6.70476e-5 0.000207631 0.000343254 0.000458119 0.000538307 0.000571329 0.000547905 0.000463266 0.00031857 0.000118845; 7.28846e-5 0.000225727 0.000373207 0.000498147 0.000585348 0.000621216 0.000595718 0.000503701 0.000346376 0.00012922; 7.91365e-5 0.000245121 0.000405353 0.000541209 0.000636118 0.000675253 0.000647702 0.000547793 0.000376747 0.00014056; 8.57437e-5 0.000265628 0.000439383 0.000586868 0.000690066 0.000732825 0.000703234 0.000594995 0.000409312 0.00015273; 9.26971e-5 0.000287217 0.000475227 0.000634982 0.000746953 0.000793591 0.000761904 0.000644902 0.000443782 0.000165624; 0.000100074 0.000310123 0.000513258 0.000686016 0.000807263 0.000857995 0.000824058 0.000697758 0.000480304 0.000179294; 0.000108003 0.000334744 0.000554132 0.000740837 0.000872001 0.000927084 0.00089067 0.000754372 0.000519416 0.000193932; 0.000116578 0.000361364 0.000598318 0.000800079 0.000941927 0.00100167 0.000962526 0.000815408 0.00056156 0.000209697; 0.000125785 0.000389943 0.000645742 0.000863641 0.00101692 0.0010816 0.00103949 0.000880743 0.000606639 0.00022655; 0.000135523 0.000420166 0.000695874 0.000930789 0.00109609 0.00116592 0.0011206 0.000949539 0.000654067 0.000244271; 0.000145691 0.000451715 0.000748183 0.0010008 0.00117856 0.00125366 0.00120492 0.00102098 0.000703278 0.000262651; 0.000156263 0.000484513 0.000802538 0.0010735 0.00126415 0.00134461 0.00129226 0.00109491 0.000754171 0.000281655; 0.000167284 0.0005187 0.00085918 0.00114923 0.00135326 0.00143926 0.00138311 0.00117176 0.000807048 0.000301393; 0.000178793 0.000554396 0.000918315 0.00122828 0.00144626 0.00153801 0.00147785 0.00125189 0.00086216 0.000321959; 0.000190745 0.000591465 0.000979718 0.00131035 0.00154278 0.00164049 0.00157614 0.001335 0.00091931 0.00034328; 0.000203003 0.000629481 0.00104269 0.00139451 0.00164174 0.00174554 0.00167686 0.00142016 0.000977863 0.000365125; 0.00021539 0.000667905 0.00110634 0.00147959 0.00174177 0.00185174 0.00177869 0.00150627 0.0010371 0.000387231; 0.000227765 0.000706297 0.00116996 0.00156466 0.00184185 0.00195805 0.0018807 0.00159257 0.0010965 0.000409415; 0.000240043 0.000744397 0.00123312 0.00164918 0.00194137 0.00206389 0.00198237 0.00167868 0.00115581 0.00043157; 0.000252171 0.000782033 0.00129553 0.00173276 0.00203988 0.00216877 0.00208323 0.00176418 0.00121472 0.000453576; 0.000264069 0.000818957 0.00135677 0.00181481 0.00213665 0.00227183 0.00218242 0.00184829 0.00127267 0.00047522; 0.000275593 0.000854721 0.00141609 0.00189429 0.00223037 0.00237163 0.00227844 0.00192971 0.00132876 0.000496167; 0.000286532 0.000888667 0.00147238 0.00196968 0.00231924 0.00246619 0.00236936 0.00200679 0.00138185 0.000515992; 0.000296629 0.000919995 0.00152431 0.00203921 0.00240114 0.00255328 0.00245305 0.0020777 0.0014307 0.000534238; 0.000305612 0.000947863 0.0015705 0.00210102 0.00247392 0.00263065 0.00252736 0.00214068 0.00147409 0.000550449; 0.000313222 0.000971465 0.00160961 0.00215335 0.00253553 0.00269614 0.00259028 0.002194 0.00151084 0.000564179; 0.000319221 0.000990067 0.00164042 0.00219457 0.00258406 0.00274775 0.00263987 0.00223602 0.00153979 0.000574995; 0.000323399 0.00100301 0.00166183 0.00222317 0.00261773 0.00278354 0.00267425 0.00226513 0.00155983 0.000582471; 0.00032556 0.00100967 0.0016728 0.00223777 0.00263484 0.00280167 0.00269161 0.00227977 0.00156986 0.000586197; 0.000325516 0.00100947 0.00167236 0.00223702 0.00263379 0.00280039 0.00269021 0.00227843 0.00156883 0.000585784; 0.000323083 0.00100185 0.00165955 0.00221963 0.00261301 0.00277799 0.00266838 0.00225969 0.00155577 0.000580864; 0.000318087 0.00098625 0.00163347 0.00218437 0.00257105 0.00273289 0.00262462 0.00222226 0.00152978 0.000571105; 0.000310364 0.000962166 0.00159327 0.00213011 0.00250657 0.0026637 0.00255755 0.002165 0.00149009 0.000556216; 0.000299774 0.000929166 0.00153823 0.00205591 0.00241847 0.00256922 0.00246606 0.00208697 0.00143606 0.00053596; 0.000286218 0.000886936 0.00146784 0.00196107 0.00230593 0.00244862 0.00234935 0.00198748 0.00136721 0.000510163; 0.000269644 0.000835326 0.00138185 0.00184526 0.00216856 0.00230146 0.00220699 0.00186617 0.00128329 0.000478727; 0.000250071 0.000774384 0.00128034 0.00170857 0.00200646 0.00212785 0.00203906 0.0017231 0.00118432 0.000441658; 0.000227588 0.000704391 0.00116376 0.0015516 0.00182032 0.00192848 0.00184622 0.00155879 0.00107066 0.000399084; 0.000202369 0.00062588 0.00103299 0.00137552 0.00161148 0.00170477 0.00162978 0.00137434 0.000943045 0.000351281; 0.000174671 0.00053965 0.000889353 0.00118207 0.001382 0.00145887 0.0013918 0.00117148 0.000802659 0.000298688; 0.00014484 0.000446773 0.00073462 0.000973634 0.00113465 0.00119373 0.0011351 0.000952574 0.000651135 0.000241912; 0.000113312 0.000348605 0.000571037 0.000753204 0.000872966 0.000913087 0.000863268 0.000720676 0.000490563 0.000181735; 8.06155e-5 0.000246785 0.00040132 0.000524412 0.000601211 0.000621489 0.000580677 0.00047948 0.000323487 0.000119107; 4.737e-5 0.000143231 0.000228642 0.000291496 0.000324379 0.000324237 0.000292413 0.000233303 0.000152883 5.51407e-5; 1.42769e-5 4.01193e-5 5.66033e-5 5.92654e-5 4.81229e-5 2.73343e-5 4.24058e-6 -1.29752e-5 -1.78854e-5 -8.90787e-6; -1.78891e-5 -6.01464e-5 -0.000110817 -0.000166968 -0.000221323 -0.000262604 -0.0002775 -0.000253996 -0.000185131 -7.16619e-5; -4.82945e-5 -0.000154979 -0.000269341 -0.000381497 -0.000477262 -0.000538489 -0.000546021 -0.000484027 -0.000344918 -0.000131653; -7.60665e-5 -0.000241676 -0.0004145 -0.000578367 -0.000712715 -0.000792938 -0.000794262 -0.000697114 -0.000493161 -0.000187357; -0.00010032 -0.000317497 -0.000541775 -0.000751561 -0.00092064 -0.00101851 -0.00101512 -0.000887269 -0.000625751 -0.000237243; -0.000120192 -0.000379773 -0.000646759 -0.000895225 -0.0010942 -0.00120799 -0.00120172 -0.00104871 -0.00073872 -0.000279832; -0.000134878 -0.000426014 -0.000725356 -0.00100392 -0.00122706 -0.00135471 -0.00134772 -0.00117611 -0.000828419 -0.000313764; -0.000143675 -0.000454045 -0.000773987 -0.00107292 -0.00131371 -0.00145291 -0.00144766 -0.00126488 -0.000891716 -0.00033787; -0.000146021 -0.000462132 -0.00078981 -0.00109848 -0.00134983 -0.00149807 -0.00149728 -0.00131151 -0.000926206 -0.000351257; -0.000141537 -0.00044911 -0.000770929 -0.00107813 -0.00133262 -0.00148733 -0.00149393 -0.00131378 -0.000930414 -0.000353382; -0.000130065 -0.000414501 -0.00071659 -0.00101092 -0.00126107 -0.00141974 -0.00143682 -0.00127113 -0.000903983 -0.00034412; -0.000111699 -0.00035861 -0.000627348 -0.0008977 -0.00113627 -0.00129659 -0.00132729 -0.00118477 -0.000847804 -0.000323811; -8.68132e-5 -0.000282619 -0.000505206 -0.000741214 -0.000961583 -0.00112156 -0.00116901 -0.00105791 -0.000764107 -0.000293299; -5.60825e-5 -0.000188632 -0.000353686 -0.000546244 -0.000742716 -0.000900836 -0.000968003 -0.000895702 -0.0006565 -0.000253938; -2.04841e-5 -7.96872e-5 -0.000177844 -0.000319595 -0.000487748 -0.000643071 -0.000732648 -0.000705303 -0.000529929 -0.000207586; 1.87141e-5 4.02814e-5 1.58016e-5 -7.00007e-5 -0.000206974 -0.000359227 -0.000473493 -0.000495655 -0.000390571 -0.000156552; 5.99849e-5 0.000166541 0.00021942 0.000192095 8.73569e-5 -6.22794e-5 -0.000202953 -0.000277241 -0.00024563 -0.000103526; 0.000101591 0.000293711 0.000424125 0.000454884 0.000381457 0.000233252 6.51522e-5 -6.16803e-5 -0.000103058 -5.14688e-5; 0.00014165 0.000415963 0.000620332 0.000705677 0.000660578 0.000511915 0.000316193 0.000138793 2.87981e-5 -3.48297e-6; 0.000178219 0.000527297 0.000798198 0.000931505 0.00090974 0.000758118 0.000535504 0.000311988 0.000141654 3.73603e-5; 0.000209394 0.000621846 0.000948149 0.00111983 0.00111458 0.00095705 0.000709279 0.000446527 0.000227827 6.82201e-5; 0.000233423 0.000694233 0.00106146 0.00125936 0.00126232 0.0010957 0.000825568 0.000532684 0.00028082 8.67073e-5; 0.000248823 0.000739929 0.00113086 0.0013408 0.00134267 0.00116389 0.000875284 0.000563259 0.000295926 9.11109e-5; 0.000254497 0.000755616 0.00115113 0.00135772 0.00134883 0.00115526 0.000853146 0.000534379 0.000270788 8.06098e-5; 0.000249838 0.000739503 0.00111962 0.00130722 0.00127825 0.00106813 0.000758483 0.000446174 0.000205846 5.54406e-5; 0.000234815 0.000691597 0.00103671 0.00119044 0.00113327 0.000906082 0.000595775 0.000303205 0.000104629 1.70037e-5; 0.000210033 0.000613881 0.000906047 0.00101295 0.000921436 0.000678282 0.00037489 0.000114619 -2.61623e-5 -3.21147e-5; 0.000176757 0.000510385 0.00073463 0.000784788 0.000655472 0.000399349 0.000110891 -0.000106078 -0.000176842 -8.8218e-5; 0.000136896 0.000387121 0.000532699 0.000520167 0.000352909 8.88162e-5 -0.000176604 -0.000341649 -0.000335208 -0.000146687; 9.29383e-5 0.000251862 0.0003133 0.00023688 3.51757e-5 -0.000229942 -0.000464579 -0.000572181 -0.00048733 -0.000202276; 4.78333e-5 0.00011376 9.16056e-5 -4.47417e-5 -0.000273702 -0.000531252 -0.000728231 -0.000776553 -0.000618611 -0.000249525; 4.81362e-6 -1.72248e-5 -0.000116073 -0.000303212 -0.000548856 -0.000789136 -0.00094302 -0.000934288 -0.000715115 -0.000283253; -3.28377e-5 -0.000131041 -0.000293506 -0.000517592 -0.000766676 -0.000979652 -0.00108702 -0.0010276 -0.000765013 -0.000299125; -6.2058e-5 -0.000218397 -0.000425969 -0.00066942 -0.000907115 -0.00108338 -0.00114336 -0.00104354 -0.000760076 -0.000294206; -8.03045e-5 -0.000271687 -0.000501769 -0.000744708 -0.000956015 -0.0010879 -0.00110255 -0.00097591 -0.000696994 -0.000267464; -8.58555e-5 -0.000285909 -0.000513704 -0.000735816 -0.000907154 -0.000989743 -0.000964291 -0.000826735 -0.000578359 -0.000220119; -7.80786e-5 -0.000259478 -0.000460322 -0.000642958 -0.000763799 -0.000795873 -0.000738569 -0.000606999 -0.000413085 -0.000155777; -5.76368e-5 -0.00019482 -0.000346768 -0.000475099 -0.000539428 -0.000523983 -0.000445657 -0.000336425 -0.000216137 -8.03166e-5; -2.65928e-5 -9.8643e-5 -0.000185084 -0.000250046 -0.000257395 -0.00020173 -0.000114922 -4.20858e-5 -7.38616e-6 -1.42406e-6; 1.16318e-5 1.8249e-5 6.26949e-6 6.54117e-6 5.06978e-5 0.000135543 0.000217846 0.000244169 0.000190341 7.21641e-5; 5.24741e-5 0.00014169 0.000203814 0.000263273 0.000347856 0.000448319 0.000514277 0.000489291 0.000353889 0.00013169; 9.06611e-5 0.000255489 0.000381349 0.000486326 0.000595899 0.000697605 0.000738152 0.000663356 0.000462934 0.000169604; 0.000120824 0.000343378 0.000513178 0.000643656 0.000760308 0.000850189 0.000860622 0.00074404 0.000503132 0.000180745; 0.000138255 0.000391262 0.000577729 0.000709782 0.000815636 0.000884035 0.000865111 0.000720646 0.000468814 0.000163334; 0.000139768 0.000389891 0.000561777 0.000670775 0.000750551 0.000792705 0.000750776 0.00059665 0.000364619 0.000119567; 0.000124449 0.000337076 0.000463671 0.000527951 0.000571293 0.000588077 0.000534266 0.000390517 0.00020579 5.56851e-5; 9.42281e-5 0.000239276 0.000295632 0.00030019 0.000303183 0.000300629 0.000248763 0.000134 1.6592e-5 -1.86714e-5; 5.39667e-5 0.000111826 8.37098e-5 2.30801e-5 -1.1395e-5 -2.39977e-5 -6.03978e-5 -0.000132197 -0.000173173 -9.19502e-5; 1.09411e-5 -2.2722e-5 -0.000135033 -0.000255048 -0.000318034 -0.000330807 -0.000341979 -0.00036462 -0.000332956 -0.000152517; -2.61477e-5 -0.000137768 -0.000317922 -0.000480346 -0.000558743 -0.000564311 -0.000547353 -0.000524221 -0.000436226 -0.000190471; -4.90879e-5 -0.000208337 -0.000425523 -0.000604446 -0.000683444 -0.000679095 -0.000639385 -0.000583401 -0.000465578 -0.000199554; -5.2201e-5 -0.000217581 -0.000431996 -0.000596948 -0.000662574 -0.000650803 -0.000601126 -0.000532354 -0.000416547 -0.000178566; -3.4331e-5 -0.000162424 -0.000333708 -0.000455544 -0.000496964 -0.000484278 -0.000441426 -0.000382816 -0.000300247 -0.000132541; 1.08329e-7 -5.67398e-5 -0.000154023 -0.000211006 -0.000220903 -0.000213769 -0.000193037 -0.000165406 -0.000141208 -7.16399e-5; 4.19899e-5 7.11118e-5 6.0567e-5 7.64764e-5 0.000100193 9.87668e-5 8.96478e-5 7.43535e-5 2.76404e-5 -8.80566e-6; 7.96158e-5 0.000184956 0.000251404 0.00033199 0.000385615 0.000378429 0.000343808 0.000287563 0.000173713 4.38438e-5; 0.000100891 0.000247918 0.000358864 0.000478457 0.000550154 0.000542299 0.000496446 0.000417016 0.000260884 7.38274e-5; 9.86804e-5 0.000238616 0.000348664 0.000470706 0.000541391 0.000535534 0.000495406 0.000419839 0.00026165 7.16007e-5; 7.41528e-5 0.000160559 0.000226346 0.000313887 0.000361754 0.000355878 0.000332499 0.000285751 0.000170123 3.58364e-5; 3.85885e-5 4.86773e-5 4.80318e-5 7.83502e-5 8.70901e-5 7.56413e-5 7.00376e-5 6.46499e-5 2.13374e-5 -2.00854e-5; 9.55268e-6 -4.22116e-5 -9.5727e-5 -0.000115372 -0.000142746 -0.000161274 -0.00015682 -0.000129114 -0.000107426 -6.79971e-5; -2.47466e-6 -8.08404e-5 -0.000155791 -0.000203035 -0.000251507 -0.00027368 -0.00026599 -0.000222115 -0.000164514 -8.85103e-5; 1.48297e-6 -6.91966e-5 -0.000129661 -0.000172273 -0.000218301 -0.000237172 -0.00023684 -0.000202229 -0.000146654 -8.17937e-5; 1.32355e-5 -3.26502e-5 -6.2363e-5 -8.65576e-5 -0.00011793 -0.000130817 -0.000139159 -0.000124308 -9.04441e-5 -6.09917e-5; 2.48668e-5 3.37283e-6 2.69344e-6 -3.67835e-6 -1.87067e-5 -2.63127e-5 -3.96621e-5 -4.26603e-5 -3.23496e-5 -3.9634e-5; 3.39745e-5 3.15871e-5 5.33994e-5 6.11555e-5 6.18169e-5 5.87948e-5 4.54688e-5 2.93606e-5 1.87296e-5 -2.09751e-5; 4.06882e-5 5.23134e-5 9.00976e-5 0.000108251 0.000122185 0.000123182 0.000112572 8.74441e-5 6.03504e-5 -5.67599e-6; 4.49653e-5 6.54023e-5 0.00011284 0.000137572 0.000159917 0.000163834 0.000155276 0.000124494 8.71631e-5 4.31568e-6; 4.64356e-5 6.97474e-5 0.000120041 0.000147108 0.000171031 0.000175728 0.000166118 0.000133081 9.32717e-5 6.72799e-6; 4.41676e-5 6.23944e-5 0.000106452 0.000129609 0.000146966 0.000149537 0.000136614 0.000106784 7.44477e-5 5.04992e-8; 3.69551e-5 3.99279e-5 6.67071e-5 7.8222e-5 8.12567e-5 7.88816e-5 6.3715e-5 4.44753e-5 3.00486e-5 -1.6147e-5; 2.436e-5 1.03186e-6 -1.42207e-6 -9.7605e-6 -2.68682e-5 -3.62803e-5 -4.94575e-5 -5.02205e-5 -3.73123e-5 -4.11164e-5; 8.67028e-6 -4.74493e-5 -8.7065e-5 -0.000119997 -0.000158285 -0.000174926 -0.000180984 -0.000158444 -0.00011445 -6.99467e-5; -3.5047e-6 -8.4643e-5 -0.000154531 -0.000204546 -0.000255503 -0.000276157 -0.000273164 -0.000232305 -0.000168501 -9.02672e-5; -3.45134e-6 -8.35112e-5 -0.000158547 -0.000203869 -0.000249665 -0.000268609 -0.000259798 -0.000217008 -0.00016192 -8.79361e-5; 1.38836e-5 -2.86976e-5 -7.35081e-5 -8.49913e-5 -0.00010525 -0.000118528 -0.000113088 -9.07541e-5 -8.03536e-5 -5.77785e-5; 4.49133e-5 6.83726e-5 8.02043e-5 0.000121152 0.000137362 0.000129243 0.00012122 0.000107374 5.10585e-5 -8.78741e-6; 7.79236e-5 0.000171879 0.000244004 0.000336025 0.000385795 0.000379017 0.00035198 0.000300274 0.000180609 4.0191e-5; 9.90542e-5 0.00023944 0.000349403 0.000470739 0.000539676 0.000531218 0.00048883 0.000412926 0.000257337 7.03945e-5; 9.91366e-5 0.000242553 0.000350027 0.000466498 0.000535498 0.000526144 0.000481083 0.000404622 0.000252873 7.10226e-5; 7.71343e-5 0.000177441 0.000239264 0.000316271 0.000368144 0.000361811 0.000330259 0.000277638 0.000167202 4.13703e-5; 3.97363e-5 6.43318e-5 4.97997e-5 6.29883e-5 8.61258e-5 8.65683e-5 8.05158e-5 6.75857e-5 2.24044e-5 -1.1174e-5; -1.69898e-6 -6.20921e-5 -0.000162414 -0.00022145 -0.000231815 -0.000223773 -0.000201603 -0.000172826 -0.000147401 -7.44442e-5; -3.52117e-5 -0.000164971 -0.000337631 -0.000460453 -0.000502467 -0.000490077 -0.000447248 -0.000388379 -0.000304902 -0.000134588; -5.18376e-5 -0.000216442 -0.000430157 -0.000594924 -0.000661173 -0.00065043 -0.0006016 -0.000533134 -0.000417173 -0.00017883; -4.7611e-5 -0.000203826 -0.000418342 -0.000595695 -0.000674558 -0.000671095 -0.00063257 -0.000577713 -0.000461363 -0.000197839; -2.39161e-5 -0.000130902 -0.000306926 -0.000466525 -0.00054377 -0.000549693 -0.000533981 -0.00051283 -0.000428067 -0.000187298; 1.35331e-5 -1.47628e-5 -0.000122204 -0.000238544 -0.000299466 -0.000311891 -0.000324174 -0.000349399 -0.000322196 -0.000148426; 5.65544e-5 0.000119807 9.67306e-5 4.01802e-5 8.37989e-6 -3.27498e-6 -4.05624e-5 -0.000115204 -0.00016125 -8.74494e-5; 9.65637e-5 0.000246511 0.000307578 0.000316169 0.000322055 0.000320764 0.000268208 0.000150702 2.83148e-5 -1.42484e-5; 0.00012632 0.000342918 0.000473469 0.000541327 0.00058743 0.000605554 0.000551236 0.000405062 0.000215956 5.95178e-5; 0.000141059 0.000393981 0.00056878 0.000680571 0.000762652 0.000805979 0.0007637 0.000607688 0.000372265 0.000122426; 0.000138953 0.000393527 0.000581765 0.000715686 0.000823198 0.000892477 0.000873323 0.000727587 0.000473556 0.000165086; 0.000120992 0.000343997 0.000514479 0.000645888 0.000763497 0.000853917 0.000864221 0.00074698 0.000505075 0.000181443; 9.04276e-5 0.000254859 0.000380549 0.000485654 0.000595527 0.00069739 0.000737842 0.000662916 0.000462526 0.000169422; 5.19926e-5 0.000140264 0.000201642 0.00026067 0.000345059 0.000445377 0.000511254 0.000486505 0.000351838 0.00013089; 1.10656e-5 1.65369e-5 3.56265e-6 3.1001e-6 4.67502e-5 0.000131262 0.000213485 0.000240216 0.000187467 7.10543e-5; -2.70908e-5 -0.000100165 -0.000187532 -0.000253246 -0.000261188 -0.000205946 -0.000119267 -4.60377e-5 -1.02616e-5 -2.52878e-6; -5.79433e-5 -0.000195761 -0.000348292 -0.000477141 -0.000541955 -0.000526914 -0.00044878 -0.000339348 -0.000218305 -8.11522e-5; -7.81044e-5 -0.000259557 -0.000460449 -0.000643177 -0.000764224 -0.000796585 -0.000739544 -0.00060809 -0.000413986 -0.000156137; -8.55502e-5 -0.000284967 -0.000512162 -0.000733829 -0.000904986 -0.000987675 -0.000962548 -0.000825476 -0.000577624 -0.000219865; -7.96588e-5 -0.000269693 -0.00049849 -0.000740402 -0.000951093 -0.00108284 -0.00109786 -0.000972087 -0.000694464 -0.000266536; -6.11008e-5 -0.000215439 -0.000421091 -0.000662951 -0.000899591 -0.00107547 -0.00113582 -0.00103723 -0.00075579 -0.000292615; -3.16289e-5 -0.000127299 -0.000287321 -0.00050934 -0.000756976 -0.000969318 -0.00107704 -0.00101913 -0.000759195 -0.000296952; 6.19439e-6 -1.2945e-5 -0.000108986 -0.000293713 -0.000537612 -0.000777057 -0.000931254 -0.000924213 -0.000708142 -0.000280641; 4.92961e-5 0.000118297 9.91275e-5 -3.46254e-5 -0.000261662 -0.000518237 -0.000715479 -0.000765571 -0.000610963 -0.000246651; 9.4391e-5 0.00025637 0.000320779 0.000246963 4.72257e-5 -0.000216852 -0.000451692 -0.000561023 -0.000479518 -0.000199334; 0.000138253 0.000391331 0.000539685 0.000529602 0.000364227 0.000101168 -0.000164386 -0.000331018 -0.000327729 -0.000143862; 0.000177946 0.000514071 0.000740745 0.000793052 0.000665426 0.000410268 0.00012175 -9.65712e-5 -0.00017012 -8.56704e-5; 0.000210997 0.000616867 0.000910998 0.00101965 0.000929544 0.000687236 0.000383858 0.000122539 -2.05266e-5 -2.99693e-5; 0.000235515 0.000693765 0.00104031 0.00119531 0.00113922 0.000912714 0.000602495 0.000309217 0.000108954 1.8658e-5; 0.000250256 0.000740797 0.00112176 0.00131013 0.00128186 0.00107224 0.000762751 0.000450087 0.000208722 5.65498e-5; 0.000254633 0.000756035 0.0011518 0.00135866 0.00135007 0.0011568 0.000854898 0.000536122 0.000272155 8.11511e-5; 0.000248694 0.000739524 0.00113016 0.00133986 0.00134165 0.00116296 0.00087459 0.000562872 0.0002958 9.10905e-5; 0.000233062 0.000693101 0.00105954 0.00125676 0.00125927 0.00109253 0.000822638 0.000530332 0.000279298 8.61602e-5; 0.000208847 0.000620128 0.000945244 0.00111587 0.00110987 0.000952019 0.000704454 0.000442487 0.000225093 6.72113e-5; 0.000177539 0.000525161 0.000794587 0.000926562 0.000903799 0.000751688 0.000529236 0.00030664 0.000137965 3.59824e-5; 0.000140894 0.000413593 0.000616321 0.000700167 0.000653905 0.00050462 0.000309006 0.000132584 2.44636e-5 -5.1148e-6; 0.000100817 0.000291285 0.000420015 0.000449216 0.00037455 0.000225637 5.75824e-5 -6.82799e-5 -0.000107704 -5.32283e-5; 5.92443e-5 0.00016422 0.00021548 0.000186641 8.06692e-5 -6.97117e-5 -0.000210404 -0.000283789 -0.000250272 -0.00010529; 1.80505e-5 3.81968e-5 1.22563e-5 -7.49314e-5 -0.000213065 -0.000366055 -0.000480398 -0.000501772 -0.000394936 -0.000158216; -2.10377e-5 -8.14333e-5 -0.000180825 -0.000323767 -0.000492955 -0.000648968 -0.000738674 -0.000710693 -0.000533802 -0.000209067; -5.65032e-5 -0.000189967 -0.000355984 -0.000549496 -0.000746839 -0.00090558 -0.000972923 -0.000900162 -0.000659733 -0.00025518; -8.70866e-5 -0.000283496 -0.000506743 -0.000743447 -0.000964502 -0.00112502 -0.0011727 -0.00106132 -0.000766624 -0.000294271; -0.000111817 -0.000359003 -0.000628086 -0.000898869 -0.00113795 -0.00129873 -0.00132971 -0.00118713 -0.000849589 -0.000324509; -0.000130026 -0.000414407 -0.000716526 -0.00101103 -0.00126152 -0.00142059 -0.00143802 -0.00127246 -0.000905077 -0.000344559; -0.000141345 -0.000448546 -0.000770098 -0.00107724 -0.00133192 -0.00148701 -0.00149404 -0.00131421 -0.000930901 -0.000353598; -0.000145686 -0.000461135 -0.000788283 -0.0010967 -0.00134814 -0.00149675 -0.00149648 -0.0013112 -0.000926203 -0.000351296; -0.000143218 -0.000452678 -0.000771874 -0.00107041 -0.00131121 -0.0014508 -0.00144617 -0.00126405 -0.000891365 -0.000337784; -0.000134328 -0.000424366 -0.000722804 -0.00100087 -0.00122399 -0.00135208 -0.0013458 -0.00117494 -0.000827865 -0.000313607; -0.000119585 -0.000377952 -0.000643945 -0.000891862 -0.00109083 -0.0012051 -0.00119961 -0.00104742 -0.000738101 -0.000279655; -9.96943e-5 -0.000315623 -0.000538891 -0.00074814 -0.00091725 -0.00101564 -0.00101306 -0.000886045 -0.000625188 -0.000237089; -7.54616e-5 -0.000239869 -0.000411742 -0.000575135 -0.000709572 -0.000790355 -0.000792484 -0.00069613 -0.000492758 -0.000187262; -4.77466e-5 -0.000153352 -0.000266887 -0.00037868 -0.000474607 -0.000536419 -0.000544721 -0.000483428 -0.000344765 -0.000131648; -1.74274e-5 -5.87888e-5 -0.000108812 -0.000164745 -0.000219346 -0.000261222 -0.000276824 -0.000253887 -0.000185291 -7.17681e-5; 1.46324e-5 4.11461e-5 5.80659e-5 6.07815e-5 4.93046e-5 2.79279e-5 4.21642e-6 -1.34117e-5 -1.83909e-5 -9.13634e-6; 4.76102e-5 0.000143903 0.000229528 0.000292271 0.000324741 0.000324027 0.000291689 0.000232331 0.000152039 5.47919e-5; 8.07433e-5 0.000247115 0.000401658 0.000524494 0.000600817 0.000620548 0.000579329 0.000478043 0.000322355 0.000118657; 0.000113342 0.00034864 0.000570909 0.000752706 0.000871952 0.000911567 0.000861442 0.000718894 0.000489229 0.000181217; 0.000144796 0.000446585 0.000734143 0.000972711 0.00113321 0.00119183 0.00113298 0.000950603 0.000649707 0.000241366; 0.000174581 0.000539323 0.000888663 0.0011809 0.00138033 0.0014568 0.00138959 0.00116948 0.000801239 0.000298149; 0.000202261 0.000625499 0.00103223 0.00137428 0.00160977 0.00170272 0.00162765 0.00137245 0.000941714 0.000350779; 0.000227486 0.000704034 0.00116304 0.00155044 0.00181873 0.00192659 0.00184427 0.00155707 0.00106946 0.000398635; 0.000249996 0.000774111 0.00127976 0.00170758 0.00200507 0.00212618 0.00203733 0.00172157 0.00118325 0.000441258; 0.000269609 0.000835167 0.00138144 0.00184448 0.00216738 0.00229999 0.00220541 0.00186476 0.00128229 0.000478349; 0.000286219 0.000886882 0.00146758 0.00196044 0.00230488 0.00244721 0.00234779 0.00198604 0.00136616 0.000509759; 0.000299796 0.000929162 0.00153801 0.00205529 0.00241735 0.00256768 0.0024643 0.0020853 0.00143481 0.000535473; 0.000310373 0.000962109 0.00159292 0.00212927 0.00250515 0.00266176 0.00255534 0.00216288 0.0014885 0.000555587; 0.000318038 0.000986003 0.00163278 0.00218303 0.00256902 0.00273029 0.00262173 0.00221951 0.00152771 0.00057029; 0.000322927 0.00100126 0.00165829 0.00221753 0.0026101 0.00277448 0.00266464 0.0022562 0.00155316 0.000579842; 0.00032521 0.00100842 0.00167033 0.00223393 0.00262979 0.00279583 0.00268553 0.00227417 0.00156569 0.000584559; 0.000325082 0.00100808 0.00166991 0.00223359 0.00262969 0.00279605 0.00268603 0.00227481 0.00156626 0.000584803; 0.000322755 0.00100091 0.00165813 0.002218 0.00261155 0.00277698 0.00266792 0.00225964 0.0015559 0.000580959; 0.000318452 0.000987592 0.00163613 0.00218867 0.00257715 0.00274055 0.00263305 0.00223021 0.00153569 0.000573431; 0.000312402 0.000968837 0.00160508 0.00214719 0.00252836 0.00268873 0.00258332 0.00218812 0.00150675 0.00056263; 0.000304831 0.000945352 0.00156617 0.00209513 0.00246704 0.00262351 0.00252064 0.00213502 0.00147018 0.000548976; 0.000295965 0.000917841 0.00152056 0.00203405 0.00239505 0.00254687 0.00244693 0.00207253 0.00142711 0.000532887; 0.000286024 0.000886985 0.00146938 0.00196549 0.00231421 0.00246076 0.00236407 0.00200225 0.00137866 0.000514782; 0.000275219 0.00085344 0.00141373 0.00189094 0.00222626 0.00236707 0.0022739 0.00192576 0.00132592 0.000495071; 0.000263747 0.000817825 0.00135465 0.00181178 0.0021329 0.00226762 0.00217819 0.00184456 0.00126995 0.000474148; 0.000251795 0.00078072 0.00129311 0.00172934 0.00203569 0.0021641 0.00207858 0.00176009 0.00121172 0.000452386; 0.000239532 0.000742657 0.00122999 0.00164482 0.00193607 0.00205806 0.00197661 0.00167364 0.00115215 0.000430129; 0.000227114 0.000704116 0.00116609 0.00155929 0.00183532 0.00195088 0.00187361 0.00158638 0.00109204 0.000407678; 0.000214676 0.000665518 0.00110213 0.00147372 0.00173457 0.00184378 0.00177075 0.00149929 0.0010321 0.000385291; 0.000202334 0.000627229 0.00103869 0.00138889 0.00163476 0.00173774 0.00166899 0.0014132 0.00097286 0.000363178; 0.000190191 0.000589558 0.0009763 0.00130549 0.00153668 0.0016336 0.00156911 0.00132873 0.000914772 0.000341499; 0.00017833 0.000552768 0.000915378 0.00122408 0.00144096 0.001532 0.00147169 0.00124638 0.000858152 0.000320371; 0.000166822 0.000517073 0.00085627 0.00114509 0.00134809 0.00143344 0.0013772 0.00116649 0.000803229 0.000299878; 0.000155723 0.000482645 0.000799253 0.00106888 0.00125847 0.0013383 0.00128595 0.00108933 0.000750167 0.000280075; 0.000145076 0.000449617 0.000744541 0.000995725 0.0011724 0.00124686 0.0011982 0.00101509 0.000699085 0.000261006; 0.000134916 0.000418089 0.000692295 0.000925828 0.0010901 0.00115936 0.00111415 0.000943918 0.000650082 0.000242704; 0.000125264 0.000388135 0.000642635 0.000859348 0.00101176 0.00107599 0.00103398 0.000875962 0.000603254 0.000225206; 0.000116136 0.000359802 0.000595642 0.000796396 0.000937513 0.000996894 0.000957847 0.000811354 0.000558694 0.000208547; 0.00010754 0.000333114 0.00055136 0.00073704 0.000867453 0.00092219 0.00088587 0.00075022 0.000516496 0.000192764; 9.94752e-5 0.000308072 0.0005098 0.000681309 0.000801635 0.000851963 0.000818159 0.000692673 0.000476753 0.000177894; 9.1935e-5 0.000284659 0.000470938 0.00062919 0.000740071 0.000786258 0.000754791 0.000638802 0.000439541 0.00016397; 8.4906e-5 0.000262836 0.000434721 0.000580626 0.000682721 0.000725069 0.000695793 0.000588658 0.000404911 0.000151013; 7.83693e-5 0.000242546 0.000401063 0.000535522 0.000629496 0.000668328 0.000641132 0.000542238 0.000372875 0.000139033; 7.23014e-5 0.000223719 0.000369855 0.000493744 0.000580258 0.000615915 0.000590717 0.000499486 0.000343406 0.00012802; 6.66764e-5 0.000206275 0.000340969 0.000455129 0.000534831 0.000567656 0.0005444 0.000460292 0.000316436 0.000117951; 6.14677e-5 0.000190132 0.000314268 0.000419499 0.000493007 0.000523341 0.000501984 0.000424492 0.000291855 0.000108787; 5.66504e-5 0.00017521 0.00028962 0.000386668 0.000454565 0.000482726 0.000463229 0.000391878 0.000269515 0.00010047; 5.22019e-5 0.000161439 0.000266898 0.000356459 0.000419277 0.000445549 0.000427862 0.000362203 0.000249239 9.29324e-5; 4.81027e-5 0.000148756 0.000245992 0.000328707 0.000386924 0.000411547 0.000395602 0.000335205 0.000230832 8.60989e-5; 4.43366e-5 0.000137108 0.000226805 0.000303263 0.000357304 0.00038047 0.00036617 0.000310619 0.000214096 7.98913e-5; 4.08901e-5 0.000126449 0.000209254 0.000279996 0.000330233 0.000352085 0.000339308 0.000288195 0.00019884 7.42346e-5; 3.7752e-5 0.000116743 0.000193265 0.00025879 0.000305543 0.00032618 0.000314775 0.000267703 0.00018489 6.90606e-5; 3.49118e-5 0.000107955 0.000178772 0.000239538 0.000283084 0.00030256 0.000292353 0.000248931 0.00017209 6.43079e-5; 3.23579e-5 0.000100045 0.000165707 0.000222136 0.000262712 0.000281049 0.000271848 0.000231696 0.000160299 5.99224e-5; 3.00762e-5 9.29713e-5 0.000153992 0.000206473 0.000244286 0.000261483 0.000253085 0.000215838 0.000149402 5.58587e-5; 2.80493e-5 8.66785e-5 0.000143539 0.000192431 0.000227664 0.000243707 0.000235913 0.000201224 0.000139304 5.20814e-5; 2.62565e-5 8.11036e-5 0.000134245 0.000179876 0.000212698 0.000227571 0.000220194 0.000187743 0.000129933 4.85636e-5; 2.46743e-5 7.61748e-5 0.000125996 0.000168667 0.000199234 0.00021293 0.000205806 0.000175306 0.000121232 4.52865e-5; 2.32768e-5 7.18136e-5 0.000118668 0.000158651 0.000187114 0.000199642 0.00019264 0.00016384 0.000113165 4.22379e-5; 2.20371e-5 6.79396e-5 0.000112137 0.000149679 0.000176186 0.000187577 0.000180602 0.000153291 0.000105707 3.94114e-5; 2.09296e-5 6.44753e-5 0.000106283 0.000141606 0.00016631 0.000176616 0.000169612 0.000143618 9.88435e-5 3.68055e-5; 1.99314e-5 6.1351e-5 0.000100997 0.000134306 0.00015736 0.000166661 0.000159606 0.000134794 9.25729e-5 3.44225e-5; 1.90226e-5 5.85074e-5 9.61884e-5 0.00012767 0.000149231 0.000157628 0.000150535 0.000126799 8.68954e-5 3.22657e-5; 1.81876e-5 5.58975e-5 9.17844e-5 0.000121612 0.000141841 0.00014945 0.000142356 0.000119616 8.18083e-5 3.03364e-5; 1.74154e-5 5.34884e-5 8.77347e-5 0.000116072 0.000135129 0.000142076 0.000135032 0.000113223 7.73012e-5 2.86317e-5; 1.66999e-5 5.12617e-5 8.40099e-5 0.000111013 0.00012905 0.000135461 0.000128523 0.000107588 7.33535e-5 2.71444e-5; 1.60391e-5 4.92112e-5 8.05977e-5 0.000106413 0.000123576 0.000129565 0.000122782 0.000102666 6.99319e-5 2.58613e-5; 1.54339e-5 4.73384e-5 7.74968e-5 0.000102263 0.000118682 0.000124348 0.000117754 9.83961e-5 6.6988e-5 2.47628e-5; 1.48863e-5 4.56483e-5 7.47107e-5 9.85577e-5 0.000114343 0.000119758 0.000113367 9.46998e-5 6.44558e-5 2.38218e-5; 1.43988e-5 4.41464e-5 7.22424e-5 9.52857e-5 0.000110525 0.000115733 0.000109532 9.14776e-5 6.22537e-5 2.3005e-5; 1.39732e-5 4.28365e-5 7.00903e-5 9.24294e-5 0.000107183 0.000112196 0.000106144 8.86161e-5 6.029e-5 2.2275e-5; 1.36104e-5 4.17185e-5 6.8246e-5 8.99618e-5 0.000104263 0.000109061 0.000103094 8.59997e-5 5.84725e-5 2.15949e-5; 1.33094e-5 4.07871e-5 6.66936e-5 8.78492e-5 0.000101707 0.000106245 0.00010028 8.35254e-5 5.67208e-5 2.09323e-5]
  :boussinesq => [1.436e-5 4.17827e-5 6.55615e-5 8.30962e-5 9.26221e-5 9.31249e-5 8.44766e-5 6.74382e-5 4.36241e-5 1.50718e-5; 1.39472e-5 4.05811e-5 6.36747e-5 8.07035e-5 8.99536e-5 9.04405e-5 8.20402e-5 6.54921e-5 4.23644e-5 1.46365e-5; 1.3577e-5 3.95039e-5 6.19835e-5 7.85589e-5 8.7562e-5 8.80348e-5 7.98568e-5 6.37483e-5 4.12357e-5 1.42464e-5; 1.32492e-5 3.855e-5 6.0486e-5 7.66602e-5 8.54448e-5 8.59053e-5 7.79243e-5 6.2205e-5 4.02369e-5 1.39013e-5; 1.29642e-5 3.77204e-5 5.91838e-5 7.50091e-5 8.36038e-5 8.40537e-5 7.62441e-5 6.08632e-5 3.93686e-5 1.36013e-5; 1.27226e-5 3.70174e-5 5.80803e-5 7.36102e-5 8.20441e-5 8.24851e-5 7.48208e-5 5.97267e-5 3.86332e-5 1.33472e-5; 1.25257e-5 3.64444e-5 5.71812e-5 7.24703e-5 8.07733e-5 8.12071e-5 7.36613e-5 5.88009e-5 3.80342e-5 1.31402e-5; 1.23749e-5 3.60058e-5 5.6493e-5 7.15979e-5 7.98007e-5 8.02289e-5 7.27737e-5 5.80922e-5 3.75758e-5 1.29818e-5; 1.22718e-5 3.57059e-5 5.60225e-5 7.10016e-5 7.91358e-5 7.95601e-5 7.21668e-5 5.76077e-5 3.72625e-5 1.28736e-5; 1.22179e-5 3.5549e-5 5.57765e-5 7.06897e-5 7.87878e-5 7.92098e-5 7.18487e-5 5.73537e-5 3.70983e-5 1.28169e-5; 1.22143e-5 3.55384e-5 5.57603e-5 7.0669e-5 7.87642e-5 7.91855e-5 7.18262e-5 5.73356e-5 3.70868e-5 1.28129e-5; 1.22618e-5 3.56766e-5 5.59775e-5 7.09439e-5 7.90699e-5 7.9492e-5 7.21036e-5 5.75568e-5 3.72301e-5 1.28624e-5; 1.23607e-5 3.59643e-5 5.64292e-5 7.1516e-5 7.97065e-5 8.01308e-5 7.26821e-5 5.80182e-5 3.75288e-5 1.29656e-5; 1.25106e-5 3.64005e-5 5.71139e-5 7.2383e-5 8.06715e-5 8.10993e-5 7.35594e-5 5.8718e-5 3.79817e-5 1.31221e-5; 1.27105e-5 3.69821e-5 5.80268e-5 7.3539e-5 8.19581e-5 8.23908e-5 7.47293e-5 5.96511e-5 3.85854e-5 1.33306e-5; 1.29588e-5 3.77044e-5 5.91603e-5 7.49743e-5 8.35555e-5 8.39942e-5 7.61817e-5 6.08095e-5 3.9335e-5 1.35895e-5; 1.32532e-5 3.85607e-5 6.0504e-5 7.66758e-5 8.54493e-5 8.58952e-5 7.79037e-5 6.21829e-5 4.02234e-5 1.38964e-5; 1.3591e-5 3.95434e-5 6.20461e-5 7.86285e-5 8.76227e-5 8.80769e-5 7.98799e-5 6.37591e-5 4.12431e-5 1.42486e-5; 1.39695e-5 4.06445e-5 6.37738e-5 8.08163e-5 9.00579e-5 9.05215e-5 8.20944e-5 6.55254e-5 4.23857e-5 1.46433e-5; 1.43861e-5 4.18563e-5 6.56754e-5 8.32243e-5 9.27385e-5 9.32128e-5 8.45327e-5 6.74703e-5 4.36439e-5 1.50779e-5; 1.48387e-5 4.31729e-5 6.77416e-5 8.58413e-5 9.56521e-5 9.61385e-5 8.71838e-5 6.95852e-5 4.50123e-5 1.55506e-5; 1.53263e-5 4.45915e-5 6.99682e-5 8.8662e-5 9.87933e-5 9.92934e-5 9.00432e-5 7.18668e-5 4.64886e-5 1.60606e-5; 1.58495e-5 4.61138e-5 7.2358e-5 9.169e-5 0.000102166 0.000102682 9.31157e-5 7.4319e-5 4.80757e-5 1.66089e-5; 1.64108e-5 4.77472e-5 7.49227e-5 9.49408e-5 0.000105789 0.000106324 9.64179e-5 7.69554e-5 4.97823e-5 1.71986e-5; 1.70152e-5 4.95062e-5 7.76854e-5 9.84439e-5 0.000109694 0.00011025 9.99808e-5 7.9801e-5 5.16247e-5 1.78353e-5; 1.76704e-5 5.14135e-5 8.06817e-5 0.000102245 0.000113933 0.000114515 0.000103852 8.28935e-5 5.36276e-5 1.85276e-5; 1.83872e-5 5.35003e-5 8.39609e-5 0.000106405 0.000118576 0.000119187 0.000108095 8.62845e-5 5.58243e-5 1.92869e-5; 1.91792e-5 5.58063e-5 8.75853e-5 0.000111006 0.000123711 0.000124357 0.000112791 9.00387e-5 5.82567e-5 2.01279e-5; 2.00627e-5 5.83789e-5 9.16293e-5 0.00011614 0.000129443 0.00013013 0.000118036 9.42327e-5 6.09745e-5 2.10675e-5; 2.10561e-5 6.12717e-5 9.61771e-5 0.000121914 0.000135891 0.000136624 0.000123938 9.89525e-5 6.40332e-5 2.21251e-5; 2.21795e-5 6.4543e-5 0.00010132 0.000128444 0.000143182 0.000143969 0.000130612 0.00010429 6.74924e-5 2.33211e-5; 2.34532e-5 6.82517e-5 0.00010715 0.000135846 0.000151448 0.000152293 0.000138177 0.000110339 7.14124e-5 2.46765e-5; 2.48966e-5 7.24545e-5 0.000113756 0.000144233 0.00016081 0.000161722 0.000146744 0.000117189 7.58508e-5 2.6211e-5; 2.65274e-5 7.72028e-5 0.000121218 0.000153705 0.000171384 0.000172368 0.000156415 0.000124921 8.086e-5 2.79427e-5; 2.83609e-5 8.25405e-5 0.000129606 0.000164349 0.000183264 0.000184328 0.000167278 0.000133603 8.64847e-5 2.9887e-5; 3.04086e-5 8.85015e-5 0.000138972 0.000176234 0.000196525 0.000197676 0.0001794 0.000143291 9.27599e-5 3.20561e-5; 3.26779e-5 9.51075e-5 0.000149351 0.000189401 0.000211217 0.000212463 0.000192827 0.000154021 9.97094e-5 3.44582e-5; 3.51731e-5 0.00010237 0.000160761 0.000203878 0.000227369 0.000228719 0.000207588 0.000165817 0.000107349 3.70987e-5; 3.78975e-5 0.000110301 0.00017322 0.000219685 0.000245007 0.000246472 0.000223709 0.0001787 0.000115692 3.99824e-5; 4.08561e-5 0.000118913 0.000186749 0.000236851 0.000264163 0.000265754 0.00024122 0.000192693 0.000124755 4.31148e-5; 4.40557e-5 0.000128226 0.000201381 0.000255418 0.000284883 0.000286613 0.000260165 0.000207834 0.000134562 4.65042e-5; 4.75075e-5 0.000138274 0.000217169 0.000275453 0.000307246 0.000309129 0.000280618 0.000224182 0.00014515 5.01639e-5; 5.12338e-5 0.000149122 0.000234213 0.000297085 0.000331394 0.000333448 0.000302711 0.000241842 0.000156589 5.41176e-5; 5.52732e-5 0.000160881 0.00025269 0.000320535 0.000357572 0.000359809 0.000326659 0.000260984 0.000168987 5.84031e-5; 5.96766e-5 0.000173699 0.000272829 0.000346092 0.000386097 0.000388527 0.000352743 0.000281831 0.00018249 6.30702e-5; 6.4496e-5 0.000187728 0.00029487 0.000374059 0.000417305 0.000419941 0.000381272 0.000304631 0.000197257 6.81741e-5; 6.97797e-5 0.000203109 0.000319038 0.000404727 0.000451529 0.00045439 0.000412559 0.000329637 0.000213454 7.37733e-5; 7.55812e-5 0.00022 0.000345583 0.000438419 0.000489134 0.00049225 0.000446949 0.000357129 0.000231266 7.99309e-5; 8.1963e-5 0.000238582 0.000374788 0.00047549 0.000530515 0.000533916 0.000484801 0.000387391 0.000250873 8.67092e-5; 8.8974e-5 0.000258993 0.000406863 0.000516199 0.000575949 0.000579652 0.000526343 0.000420597 0.000272384 9.41449e-5; 9.66086e-5 0.000281216 0.000441775 0.000560493 0.000625367 0.000629384 0.000571497 0.00045668 0.000295752 0.000102221; 0.000104797 0.000305047 0.000479208 0.000607975 0.000678331 0.000682672 0.000619872 0.000495328 0.000320777 0.00011087; 0.000113454 0.000330245 0.000518791 0.00065819 0.000734351 0.000739042 0.00067105 0.000536221 0.000347259 0.000120022; 0.000122563 0.000356765 0.000560461 0.000711071 0.000793364 0.000798447 0.000725003 0.000579344 0.000375192 0.000129678; 0.000132214 0.000384865 0.000604623 0.000767125 0.000855937 0.00086145 0.000782238 0.000625099 0.000404835 0.000139926; 0.000142549 0.000414956 0.000651912 0.000827145 0.000922932 0.000928903 0.000843513 0.000674082 0.000436568 0.000150896; 0.000153663 0.000447312 0.000702752 0.000891657 0.000994923 0.00100136 0.00090932 0.000726675 0.000470634 0.000162672; 0.000165545 0.000481903 0.000757092 0.000960597 0.00107184 0.00107876 0.000979593 0.000782827 0.000506999 0.000175242; 0.000178106 0.000518467 0.000814531 0.00103347 0.00115312 0.00116056 0.00105386 0.000842165 0.000545426 0.000188524; 0.000191254 0.000556743 0.00087466 0.00110975 0.00123823 0.00124621 0.00113162 0.000904304 0.000585668 0.000202434; 0.000204948 0.000596608 0.00093729 0.00118922 0.00132689 0.00133543 0.00121264 0.000969047 0.000627598 0.000216928; 0.000219179 0.000638037 0.00100237 0.00127179 0.00141902 0.00142815 0.00129682 0.00103632 0.000671164 0.000231987; 0.000233914 0.000680932 0.00106976 0.00135728 0.00151439 0.00152412 0.00138395 0.00110594 0.000716252 0.000247572; 0.000249066 0.000725037 0.00113904 0.00144517 0.00161244 0.00162278 0.00147352 0.00117751 0.000762597 0.000263591; 0.000264505 0.000769981 0.00120965 0.00153474 0.00171235 0.00172332 0.0015648 0.00125043 0.000809824 0.000279915; 0.000280107 0.000815398 0.00128099 0.00162525 0.00181333 0.00182492 0.00165704 0.00132414 0.000857553 0.000296412; 0.000295771 0.000860996 0.00135262 0.00171611 0.00191469 0.00192691 0.00174963 0.00139812 0.00090546 0.00031297; 0.000311406 0.000906503 0.0014241 0.00180678 0.00201582 0.00202866 0.00184199 0.0014719 0.00095324 0.000329484; 0.000326884 0.000951554 0.00149486 0.00189652 0.0021159 0.00212933 0.00193337 0.0015449 0.0010005 0.000345817; 0.00034202 0.000995606 0.00156404 0.00198425 0.00221374 0.00222774 0.00202268 0.00161623 0.00104668 0.000361775; 0.000356565 0.00103794 0.00163051 0.00206855 0.00230773 0.00232227 0.00210846 0.00168474 0.00109103 0.000377102; 0.000370231 0.00107771 0.00169297 0.00214774 0.00239602 0.00241107 0.00218903 0.00174909 0.00113269 0.000391496; 0.00038272 0.00111405 0.00175004 0.0022201 0.00247669 0.00249218 0.00226262 0.00180786 0.00117073 0.000404642; 0.000393741 0.00114613 0.00180039 0.00228393 0.00254784 0.00256371 0.00232751 0.00185966 0.00120426 0.000416227; 0.000403012 0.0011731 0.00184273 0.00233759 0.00260763 0.0026238 0.002382 0.00190317 0.00123241 0.000425953; 0.000410258 0.00119418 0.0018758 0.00237949 0.00265429 0.00267068 0.00242449 0.00193706 0.00125434 0.000433526; 0.000415205 0.00120856 0.00189836 0.00240803 0.00268605 0.00270255 0.00245335 0.00196007 0.00126921 0.00043866; 0.000417578 0.00121545 0.00190913 0.00242163 0.00270113 0.00271763 0.00246697 0.00197089 0.00127618 0.000441065; 0.000417106 0.00121406 0.00190689 0.00241871 0.00269778 0.00271416 0.00246373 0.00196824 0.00127443 0.000440454; 0.000413522 0.00120361 0.00189042 0.00239773 0.00267428 0.00269041 0.00244208 0.00195087 0.00126315 0.000436547; 0.000406578 0.00118338 0.00185858 0.00235725 0.00262902 0.00264476 0.00240053 0.0019176 0.00124157 0.000429082; 0.000396053 0.00115272 0.00181036 0.00229599 0.00256056 0.00257576 0.00233779 0.0018674 0.00120902 0.000417825; 0.000381763 0.0011111 0.00174493 0.00221288 0.00246774 0.00248223 0.00225277 0.0017994 0.00116495 0.000402584; 0.000363579 0.00105815 0.00166169 0.00210718 0.00234971 0.00236335 0.00214474 0.001713 0.00110896 0.000383225; 0.00034144 0.000993682 0.00156036 0.00197855 0.00220609 0.00221871 0.00201332 0.00160792 0.00104087 0.000359686; 0.000315365 0.00091776 0.00144104 0.00182708 0.00203701 0.00204847 0.00185865 0.00148427 0.000960764 0.00033199; 0.000285469 0.000830717 0.00130425 0.00165347 0.00184322 0.00185336 0.00168142 0.00134259 0.000868981 0.00030026; 0.000251972 0.00073319 0.001151 0.00145897 0.00162614 0.00163482 0.00148293 0.00118392 0.0007662 0.000264729; 0.000215206 0.000626151 0.000982801 0.00124552 0.00138793 0.00139502 0.00126513 0.00100984 0.000653439 0.000225749; 0.000175623 0.000510914 0.000801733 0.00101574 0.0011315 0.0011369 0.00103071 0.000822474 0.000532078 0.000183798; 0.000133798 0.00038915 0.000610412 0.000772954 0.000860577 0.000864192 0.000783046 0.000624529 0.000403865 0.000139478; 9.0423e-5 0.000262876 0.000412007 0.000521184 0.000579622 0.000581392 0.000526218 0.000419263 0.000270913 9.35208e-5; 4.63057e-5 0.000134441 0.000210205 0.000265099 0.000293848 0.000293737 0.000264979 0.000210469 0.000135674 4.6773e-5; 2.35489e-6 6.48834e-6 9.15672e-6 9.96315e-6 9.12149e-6 7.12374e-6 4.67479e-6 2.4166e-6 9.1244e-7 1.89679e-7; -4.04347e-5 -0.000118086 -0.000186593 -0.000238466 -0.000268142 -0.000272 -0.000248846 -0.000200228 -0.000130352 -4.51858e-5; -8.10051e-5 -0.000236204 -0.000372214 -0.000474067 -0.000531123 -0.00053678 -0.000489371 -0.000392504 -0.000254911 -8.82448e-5; -0.000118263 -0.000344687 -0.000542715 -0.000690516 -0.000772778 -0.000780143 -0.000710486 -0.000569296 -0.000369453 -0.000127844; -0.000151115 -0.000440351 -0.000693104 -0.000881491 -0.000986066 -0.000995017 -0.000905783 -0.00072549 -0.000470672 -0.00016284; -0.000178506 -0.000520127 -0.000818565 -0.00104089 -0.0011642 -0.00117459 -0.00106909 -0.000856161 -0.000555382 -0.000192134; -0.000199462 -0.000581189 -0.000914666 -0.00116311 -0.00130093 -0.00131258 -0.00119472 -0.000956786 -0.000620659 -0.000214716; -0.000213144 -0.000621089 -0.00097757 -0.0012433 -0.00139087 -0.0014036 -0.00127779 -0.00102346 -0.000663979 -0.000229714; -0.000218889 -0.000637905 -0.00100427 -0.00127763 -0.00142979 -0.00144339 -0.00131446 -0.00105313 -0.000683373 -0.000236449; -0.000216266 -0.000630383 -0.00099279 -0.00126365 -0.00141493 -0.00142921 -0.00130226 -0.00104384 -0.000677572 -0.000234483; -0.000205117 -0.000598071 -0.00094244 -0.00120047 -0.00134534 -0.00136012 -0.00124034 -0.000994906 -0.000646146 -0.000223669; -0.000185604 -0.000541436 -0.000853956 -0.00108904 -0.00122209 -0.0012372 -0.00112969 -0.000907147 -0.000589625 -0.00020419; -0.000158232 -0.000461954 -0.000729662 -0.00093232 -0.00104848 -0.0010638 -0.000973363 -0.000782996 -0.000509587 -0.000176592; -0.000123875 -0.000362166 -0.000573551 -0.000735372 -0.000830179 -0.0008456 -0.000776529 -0.000626588 -0.000408713 -0.000141803; -8.37703e-5 -0.000245679 -0.000391286 -0.000505381 -0.000575188 -0.000590665 -0.000546499 -0.000443763 -0.000290782 -0.000101129; -3.95088e-5 -0.000117116 -0.000190127 -0.000251546 -0.000293756 -0.000309293 -0.000292609 -0.000241973 -0.000160618 -5.62343e-5; 7.01029e-6 1.79968e-5 2.12569e-5 1.51518e-5 1.88971e-6 -1.37583e-5 -2.59835e-5 -3.00907e-5 -2.39581e-5 -9.1027e-6; 5.36402e-5 0.000153415 0.000233073 0.000282321 0.000297962 0.000282103 0.00024085 0.000181897 0.00011274 3.80366e-5; 9.80745e-5 0.000282434 0.000434812 0.000536666 0.00057968 0.000563471 0.000494483 0.000383307 0.000242572 8.28003e-5; 0.000137958 0.000398207 0.000615746 0.000764629 0.000831983 0.00081526 0.000721278 0.000563282 0.000358527 0.000122768; 0.000171015 0.000494126 0.000765529 0.000953145 0.00104038 0.00102296 0.000908136 0.000711405 0.00045388 0.00015562; 0.0001952 0.000564243 0.00087486 0.00109049 0.00119186 0.0011736 0.00104335 0.000818379 0.000522637 0.00017929; 0.000208841 0.000603714 0.000936172 0.00116712 0.00127592 0.00125669 0.00111749 0.000876726 0.000559985 0.000192118; 0.000210798 0.00060923 0.000944314 0.00117661 0.00128544 0.00126519 0.00112427 0.000881479 0.000562734 0.000193009; 0.00020059 0.00057941 0.000897161 0.00111632 0.00121762 0.00119636 0.00106127 0.000830783 0.000529714 0.000181561; 0.000178508 0.00051511 0.000796097 0.000988073 0.00107456 0.00105243 0.00093062 0.000726371 0.00046207 0.000158176; 0.000145675 0.000419611 0.000646306 0.000798505 0.000863731 0.000840989 0.000739245 0.00057383 0.00036344 0.000124113; 0.000104059 0.000298646 0.000456808 0.000559082 0.000597966 0.00057498 0.000498939 0.0003826 0.000239944 8.14903e-5; 5.64145e-5 0.000160233 0.000240194 0.000285775 0.000295076 0.000272324 0.000225967 0.000165672 9.99924e-5 3.32134e-5; 6.15355e-6 1.42928e-5 1.20202e-5 -1.72812e-6 -2.30287e-5 -4.49872e-5 -5.97523e-5 -6.10734e-5 -4.61496e-5 -1.71731e-5; -4.28656e-5 -0.000127963 -0.000210154 -0.000281236 -0.000331699 -0.000352261 -0.0003359 -0.00027987 -0.000187011 -6.57108e-5; -8.66186e-5 -0.000254847 -0.000408046 -0.000529682 -0.000605366 -0.000623935 -0.000579413 -0.000472394 -0.000310775 -0.000108325; -0.000121256 -0.000355189 -0.000564211 -0.000725103 -0.000819735 -0.000835781 -0.000768482 -0.000621348 -0.000406306 -0.000141179; -0.00014348 -0.000419432 -0.000663751 -0.00084879 -0.000954178 -0.000967291 -0.000884706 -0.000712181 -0.000464254 -0.000161056; -0.000150931 -0.000440746 -0.000696064 -0.000887496 -0.000994166 -0.00100411 -0.000915274 -0.000734814 -0.000478168 -0.00016574; -0.000142526 -0.000416028 -0.000656382 -0.00083536 -0.000933396 -0.000940124 -0.000854851 -0.000685132 -0.000445458 -0.000154349; -0.000118731 -0.000346663 -0.000546976 -0.000695408 -0.00077542 -0.000779101 -0.000707011 -0.000566106 -0.000368103 -0.000127579; -8.16852e-5 -0.000238896 -0.000377709 -0.000480231 -0.000534378 -0.000535357 -0.00048484 -0.000388256 -0.000252952 -8.78046e-5; -3.51586e-5 -0.000103707 -0.000165833 -0.000211715 -0.000234665 -0.000233417 -0.000210584 -0.000169351 -0.000111513 -3.90029e-5; 1.57035e-5 4.39467e-5 6.52099e-5 8.05085e-5 9.08011e-5 9.37461e-5 8.59471e-5 6.68667e-5 4.08692e-5 1.35273e-5; 6.48562e-5 0.000186506 0.000287944 0.000361777 0.000403608 0.000407744 0.000370122 0.000292872 0.000186435 6.36601e-5; 0.00010603 0.000305772 0.000473931 0.000596271 0.000664131 0.000669048 0.00060634 0.000480416 0.000306986 0.000105122; 0.000133561 0.000385314 0.000597517 0.000751718 0.000836711 0.000842136 0.000762673 0.000604213 0.000386256 0.000132313; 0.000143267 0.000413028 0.000639859 0.000804463 0.000895244 0.000901033 0.000815803 0.000645825 0.000412396 0.000141154; 0.000133287 0.000383536 0.00059263 0.00074411 0.000828294 0.000834374 0.000755553 0.000597246 0.000380308 0.000129903; 0.000104622 0.000299778 0.0004605 0.000576632 0.00064252 0.000648803 0.000587924 0.000463313 0.000293177 9.96748e-5; 6.13753e-5 0.000173711 0.000262252 0.000325769 0.000364201 0.000370514 0.000336526 0.00026285 0.000163214 5.47005e-5; 1.03883e-5 2.52909e-5 2.92343e-5 3.11095e-5 3.71292e-5 4.31708e-5 4.07438e-5 2.72121e-5 1.06742e-5 1.96605e-6; -3.95872e-5 -0.00012002 -0.000198582 -0.000256769 -0.000282632 -0.000277291 -0.000249042 -0.000203574 -0.000138584 -4.95882e-5; -7.9245e-5 -0.000235169 -0.000378824 -0.000484355 -0.000535742 -0.000531542 -0.000479228 -0.000386748 -0.000256853 -9.03755e-5; -0.000100675 -0.000297119 -0.000475389 -0.000606013 -0.000671439 -0.000668615 -0.000603566 -0.000485319 -0.000320183 -0.000112132; -9.92089e-5 -0.00029243 -0.00046732 -0.00059521 -0.000660076 -0.000658477 -0.000594551 -0.000477171 -0.000314161 -0.00010983; -7.49456e-5 -0.000221174 -0.000354454 -0.000451415 -0.000500648 -0.000499789 -0.000450941 -0.000361547 -0.000238606 -8.35338e-5; -3.30547e-5 -9.86068e-5 -0.000160915 -0.000205074 -0.000226755 -0.00022628 -0.00020368 -0.000163603 -0.000110026 -3.89468e-5; 1.66664e-5 4.66333e-5 6.77099e-5 8.53053e-5 9.59068e-5 9.58838e-5 8.71865e-5 6.8577e-5 4.03969e-5 1.31317e-5; 6.15267e-5 0.000177339 0.000272413 0.000344002 0.00038234 0.000381332 0.00034465 0.000273847 0.000173158 5.91014e-5; 8.73843e-5 0.000252392 0.000388848 0.000489844 0.000542637 0.000540421 0.000488049 0.000388318 0.000247258 8.4894e-5; 8.5182e-5 0.000246628 0.000379726 0.000477898 0.000528553 0.000525634 0.000474344 0.000377135 0.000239607 8.2359e-5; 5.57996e-5 0.000162468 0.00024923 0.000314613 0.000348525 0.000345937 0.000311809 0.000247175 0.000155099 5.33947e-5; 1.27224e-5 3.88741e-5 5.69257e-5 7.3672e-5 8.29987e-5 8.15979e-5 7.3578e-5 5.78766e-5 3.30148e-5 1.1621e-5; -2.35289e-5 -6.52007e-5 -0.000105931 -0.000131405 -0.000143621 -0.000143835 -0.000128815 -0.000101877 -6.92769e-5 -2.31219e-5; -4.01907e-5 -0.000112865 -0.000182499 -0.000229659 -0.000253465 -0.000253147 -0.0002262 -0.000177042 -0.000116208 -3.86485e-5; -3.65213e-5 -0.000101218 -0.000164728 -0.000207351 -0.000229297 -0.000228767 -0.000204608 -0.000159778 -0.000105171 -3.44072e-5; -1.95106e-5 -5.02565e-5 -8.37164e-5 -0.000103528 -0.000114507 -0.000114301 -0.000103325 -8.1102e-5 -5.61323e-5 -1.73957e-5; 1.23602e-6 1.05924e-5 1.11942e-5 1.66168e-5 1.75653e-5 1.73482e-5 1.38365e-5 1.10984e-5 2.37565e-6 3.02385e-6; 1.86564e-5 6.12677e-5 8.93153e-5 0.000114475 0.000124436 0.000123725 0.000108981 8.67095e-5 5.08108e-5 1.99373e-5; 2.72178e-5 8.58967e-5 0.000126522 0.00016035 0.000174048 0.000173092 0.000153529 0.000122817 7.44198e-5 2.82541e-5; 2.44039e-5 7.76101e-5 0.000113197 0.000143339 0.000155304 0.000154562 0.000137252 0.000110524 6.70155e-5 2.57519e-5; 1.20765e-5 4.2083e-5 5.87792e-5 7.57965e-5 8.19606e-5 8.17668e-5 7.20612e-5 5.86449e-5 3.37078e-5 1.40947e-5; -4.3204e-6 -5.50461e-6 -1.4241e-5 -1.52816e-5 -1.72292e-5 -1.6886e-5 -1.62584e-5 -1.18446e-5 -1.16845e-5 -1.8227e-6; -1.84142e-5 -4.70678e-5 -7.85382e-5 -9.64126e-5 -0.000106169 -0.000105745 -9.56219e-5 -7.50436e-5 -5.2223e-5 -1.60649e-5; -2.54318e-5 -6.87087e-5 -0.000112622 -0.000140497 -0.000154999 -0.000154911 -0.00013911 -0.000109358 -7.38992e-5 -2.38016e-5; -2.24622e-5 -6.14393e-5 -0.000101574 -0.000127548 -0.000140863 -0.000141294 -0.000126332 -9.90617e-5 -6.69766e-5 -2.17692e-5; -8.41146e-6 -2.18088e-5 -3.94525e-5 -4.9332e-5 -5.40962e-5 -5.50663e-5 -4.86699e-5 -3.77021e-5 -2.7514e-5 -8.6104e-6; 1.48287e-5 4.45802e-5 6.45923e-5 8.20217e-5 9.15486e-5 9.00964e-5 8.19381e-5 6.56764e-5 3.89411e-5 1.3864e-5; 4.11796e-5 0.000120144 0.000182929 0.000231327 0.000256953 0.000255101 0.00023052 0.000183456 0.000114712 3.95953e-5; 6.10374e-5 0.000176993 0.000271863 0.000343377 0.000381003 0.000378999 0.000342226 0.000272097 0.00017183 5.89851e-5; 6.53092e-5 0.000188757 0.000290288 0.000366453 0.00040656 0.000404749 0.000365493 0.000290424 0.000183602 6.28153e-5; 5.00808e-5 0.000143961 0.000219896 0.000277156 0.000307625 0.000306333 0.0002768 0.000219647 0.000137905 4.68854e-5; 1.84738e-5 5.16126e-5 7.48494e-5 9.33674e-5 0.000103938 0.000103356 9.36162e-5 7.33818e-5 4.32258e-5 1.40565e-5; -2.07883e-5 -6.30856e-5 -0.000105636 -0.000135612 -0.000150014 -0.00014981 -0.000134941 -0.000109245 -7.5142e-5 -2.69561e-5; -5.67794e-5 -0.000168374 -0.000271714 -0.000346693 -0.000384183 -0.000383126 -0.000345593 -0.000277794 -0.000184589 -6.49086e-5; -7.98833e-5 -0.00023619 -0.000379114 -0.000483578 -0.000535912 -0.00053389 -0.000481663 -0.000387039 -0.00025582 -8.96817e-5; -8.41864e-5 -0.000249214 -0.000400395 -0.000511292 -0.000566267 -0.000563156 -0.000507924 -0.00040879 -0.0002705 -9.49229e-5; -6.84336e-5 -0.00020373 -0.000329592 -0.00042221 -0.000466841 -0.000462605 -0.000416842 -0.000336895 -0.000224517 -7.91811e-5; -3.5771e-5 -0.000108893 -0.000181087 -0.000234624 -0.000258115 -0.000252882 -0.000227094 -0.00018613 -0.000127302 -4.56823e-5; 7.39419e-6 1.66528e-5 1.58506e-5 1.43578e-5 1.85777e-5 2.45251e-5 2.37695e-5 1.35929e-5 1.82419e-6 -1.09392e-6; 5.29913e-5 0.000149415 0.000224348 0.00027807 0.000311392 0.000317703 0.000288794 0.000224824 0.000138624 4.62067e-5; 9.29507e-5 0.000265902 0.000407557 0.00050994 0.000568696 0.000575053 0.000521362 0.000410379 0.000259011 8.78894e-5; 0.00012062 0.000346752 0.000535103 0.000671606 0.000748017 0.000754193 0.000683227 0.000539762 0.000343224 0.000117115; 0.00013172 0.000379492 0.000587393 0.000738297 0.000821941 0.000827798 0.000749745 0.000593322 0.000378521 0.00012947; 0.000124774 0.000359786 0.000557552 0.000701268 0.000780762 0.000786192 0.00071218 0.00056406 0.000360333 0.000123368; 0.000101036 0.00029125 0.000451156 0.000567463 0.000632115 0.000636966 0.000577324 0.000457302 0.000292044 9.9963e-5; 6.40343e-5 0.000184097 0.000284109 0.000356841 0.00039802 0.000402038 0.000364866 0.000288619 0.000183651 6.26923e-5; 1.88495e-5 5.30623e-5 7.94059e-5 9.83212e-5 0.000110425 0.00011324 0.000103428 8.06858e-5 4.9744e-5 1.65815e-5; -2.87023e-5 -8.49717e-5 -0.00013657 -0.000174867 -0.000193907 -0.000192761 -0.000173975 -0.000140304 -9.2803e-5 -3.25541e-5; -7.28679e-5 -0.000213293 -0.000337673 -0.000429742 -0.000478434 -0.000479454 -0.000434416 -0.000348189 -0.000227113 -7.88932e-5; -0.000108634 -0.00031733 -0.000501067 -0.000637446 -0.000711113 -0.000714755 -0.000648902 -0.000519883 -0.00033827 -0.000117286; -0.000132221 -0.000386079 -0.000609473 -0.000776074 -0.000867544 -0.000874154 -0.000795206 -0.000637641 -0.000414784 -0.000143762; -0.000141365 -0.000412934 -0.000652468 -0.000832342 -0.000932832 -0.000942587 -0.000859587 -0.000690431 -0.000449481 -0.000155834; -0.000135403 -0.000395935 -0.000626889 -0.000802102 -0.000902189 -0.000915073 -0.000837378 -0.000674417 -0.000439825 -0.000152617; -0.000115176 -0.000337492 -0.000536417 -0.000689847 -0.000780409 -0.00079621 -0.000732556 -0.000592641 -0.000387716 -0.000134754; -8.28e-5 -0.00024372 -0.000390538 -0.000507417 -0.000580458 -0.000598796 -0.000556524 -0.000454058 -0.00029888 -0.00010421; -4.13419e-5 -0.000123508 -0.000203101 -0.000272192 -0.000321487 -0.000341855 -0.000326339 -0.000272153 -0.000181976 -6.39636e-5; 5.5425e-6 1.25391e-5 9.33438e-6 -5.01503e-6 -2.65415e-5 -4.83602e-5 -6.26742e-5 -6.33104e-5 -4.75524e-5 -1.7649e-5; 5.39767e-5 0.000153164 0.000229164 0.000271911 0.000279774 0.000257099 0.000212295 0.000154851 9.3034e-5 3.0818e-5; 0.0001002 0.00028744 0.000439277 0.000536967 0.000573454 0.00055048 0.00047684 0.000365042 0.000228621 7.75861e-5; 0.000140851 0.000405591 0.000624346 0.000770756 0.000832915 0.000810127 0.000711353 0.000551632 0.000349107 0.000119167; 0.000173179 0.000499615 0.000771809 0.00095735 0.0010404 0.00101818 0.000899625 0.000701678 0.000446114 0.000152667; 0.000195187 0.000563694 0.000872511 0.00108511 0.00118289 0.0011615 0.0010297 0.000805611 0.000513438 0.00017594; 0.000205694 0.000594382 0.000921014 0.00114709 0.00125257 0.00123216 0.00109433 0.000857594 0.000547283 0.000187671; 0.000204338 0.000590611 0.0009156 0.00114105 0.00124685 0.00122746 0.00109098 0.000855558 0.000546284 0.000187385; 0.000191517 0.000553524 0.00085802 0.00106912 0.00116803 0.00114962 0.00102157 0.000800978 0.000511369 0.000175396; 0.000168289 0.000486188 0.000753049 0.000937296 0.00102267 0.00100513 0.00089192 0.000698436 0.000445475 0.000152714; 0.000136247 0.000393223 0.000607897 0.000754642 0.000820804 0.00080397 0.000710993 0.000555041 0.000353178 0.000120918; 9.73699e-5 0.000280376 0.000431555 0.000532496 0.000574977 0.000558687 0.000490094 0.000379769 0.000240266 8.20007e-5; 5.38759e-5 0.000154093 0.000234111 0.000283593 0.000299324 0.000283413 0.000241988 0.000182771 0.000113288 3.82232e-5; 8.07791e-6 2.1095e-5 2.60955e-5 2.12428e-5 8.6237e-6 -7.046e-6 -1.99445e-5 -2.53029e-5 -2.08758e-5 -8.04067e-6; -3.77469e-5 -0.000111996 -0.000182114 -0.000241429 -0.000282531 -0.000298063 -0.000282469 -0.000233909 -0.000155414 -5.44392e-5; -8.14682e-5 -0.000238987 -0.000380802 -0.000492128 -0.000560464 -0.000575913 -0.00053316 -0.000433143 -0.000283923 -9.87611e-5; -0.000121192 -0.000354366 -0.000561325 -0.000719907 -0.000812986 -0.00082836 -0.00076093 -0.000614161 -0.000400682 -0.000139031; -0.000155325 -0.0004535 -0.000716407 -0.000915548 -0.00102983 -0.00104508 -0.000956424 -0.000769496 -0.000500861 -0.000173579; -0.000182617 -0.00053275 -0.000840336 -0.00107181 -0.00120291 -0.00121796 -0.00111227 -0.000893261 -0.000580648 -0.00020109; -0.000202181 -0.000589532 -0.000929048 -0.00118352 -0.00132648 -0.0013412 -0.0012232 -0.000981247 -0.000637316 -0.000220619; -0.000213491 -0.000622313 -0.000980135 -0.00124764 -0.00139711 -0.00141134 -0.00128608 -0.00103094 -0.000669231 -0.000231602; -0.000216367 -0.00063057 -0.000992764 -0.00126308 -0.0014136 -0.00142715 -0.00129977 -0.00104142 -0.000675802 -0.000233834; -0.000210945 -0.000614695 -0.000967547 -0.00123062 -0.00137678 -0.00138946 -0.00126501 -0.00101327 -0.000657396 -0.000227441; -0.000197638 -0.000575886 -0.000906357 -0.00115261 -0.00128927 -0.00130089 -0.00118416 -0.000948373 -0.000615225 -0.00021284; -0.000177089 -0.000516013 -0.000812124 -0.00103276 -0.00115518 -0.00116556 -0.00106094 -0.000849682 -0.000551201 -0.000190691; -0.000150125 -0.000437475 -0.00068861 -0.00087583 -0.000979802 -0.000988768 -0.000900157 -0.000721026 -0.000467796 -0.000161849; -0.000117701 -0.000343058 -0.00054018 -0.000687341 -0.000769288 -0.000776687 -0.000707396 -0.000566859 -0.00036789 -0.000127306; -8.08606e-5 -0.000235792 -0.000371589 -0.000473315 -0.000530337 -0.000536045 -0.000488752 -0.000392041 -0.000254626 -8.81489e-5; -4.06857e-5 -0.000118824 -0.000187776 -0.000240007 -0.000269914 -0.000273838 -0.000250562 -0.00020163 -0.000131275 -4.55074e-5; 1.74126e-6 4.6947e-6 6.31672e-6 6.32121e-6 5.00771e-6 2.93085e-6 8.22554e-7 -6.91856e-7 -1.11466e-6 -5.1348e-7; 4.53718e-5 0.000131715 0.000205902 0.000259604 0.00028767 0.00028747 0.000259246 0.00020586 0.000132676 4.57343e-5; 8.92197e-5 0.000259367 0.000406476 0.000514132 0.000571711 0.000573385 0.000518909 0.000413396 0.000267101 9.22013e-5; 0.000132383 0.000385026 0.000603916 0.000764682 0.000851309 0.000854824 0.000774506 0.000617681 0.00039942 0.00013794; 0.00017406 0.000506359 0.000794562 0.00100661 0.00112129 0.00112659 0.00102131 0.000814944 0.000527192 0.000182107; 0.00021356 0.000621357 0.000975257 0.00123592 0.00137719 0.00138418 0.00125527 0.00100194 0.000648313 0.000223976; 0.00025031 0.000728349 0.00114338 0.00144928 0.00161531 0.00162389 0.00147298 0.00117595 0.000761033 0.000262942; 0.000283854 0.000826009 0.00129684 0.00164405 0.00183269 0.00184273 0.00167175 0.00133484 0.000863958 0.000298522; 0.00031385 0.000913344 0.00143409 0.00181825 0.00202712 0.00203849 0.00184957 0.00147699 0.000956045 0.000330357; 0.000340067 0.000989678 0.00155406 0.00197053 0.00219711 0.00220965 0.00200507 0.0016013 0.00103658 0.000358201; 0.000362374 0.00105463 0.00165615 0.00210013 0.00234181 0.00235537 0.00213746 0.00170716 0.00110517 0.000381913; 0.000380733 0.0011081 0.00174019 0.00220684 0.00246096 0.00247538 0.00224652 0.00179437 0.00116168 0.000401453; 0.000395186 0.00115019 0.00180637 0.00229088 0.00255483 0.00256995 0.00233248 0.00186314 0.00120625 0.000416863; 0.000405844 0.00118123 0.00185519 0.00235291 0.00262414 0.00263981 0.00239601 0.00191396 0.0012392 0.000428259; 0.000412877 0.00120172 0.00188743 0.0023939 0.00266997 0.00268604 0.00243808 0.00194765 0.00126105 0.000435818; 0.000416498 0.00121228 0.00190407 0.00241509 0.00269372 0.00271005 0.00245997 0.00196521 0.00127245 0.000439766; 0.00041696 0.00121364 0.00190626 0.00241795 0.002697 0.00271346 0.00246315 0.00196781 0.00127417 0.000440367; 0.000414537 0.00120661 0.00189525 0.00240406 0.00268161 0.00269806 0.00244926 0.00195677 0.00126705 0.000437911; 0.000409523 0.00119203 0.00187239 0.00237513 0.00264942 0.00266576 0.00242001 0.00193346 0.00125198 0.000432708; 0.000402218 0.00117077 0.00183905 0.00233289 0.00260237 0.0026185 0.00237718 0.00189929 0.00122988 0.000425073; 0.000392922 0.00114373 0.0017966 0.00227909 0.00254243 0.00255826 0.00232255 0.00185568 0.00120167 0.000415326; 0.000381932 0.00111175 0.00174639 0.00221545 0.0024715 0.00248695 0.00225787 0.00180404 0.00116824 0.000403778; 0.000369535 0.00107567 0.00168974 0.00214363 0.00239144 0.00240645 0.00218483 0.00174572 0.00113049 0.000390733; 0.000356002 0.00103628 0.0016279 0.00206521 0.002304 0.00231851 0.00210504 0.00168199 0.00108924 0.000376478; 0.000341588 0.000994334 0.00156202 0.00198167 0.00221084 0.00222481 0.00202 0.00161408 0.00104527 0.000361283; 0.000326529 0.000950505 0.00149318 0.00189437 0.00211348 0.00212688 0.00193112 0.00154308 0.000999306 0.000345398; 0.00031104 0.000905423 0.00142237 0.00180456 0.00201332 0.00202612 0.00183967 0.00147003 0.000952006 0.000329051; 0.000295315 0.000859653 0.00135048 0.00171338 0.00191162 0.0019238 0.00174679 0.00139583 0.000903963 0.000312447; 0.000279526 0.000813695 0.00127829 0.00162181 0.00180948 0.00182104 0.00165351 0.00132131 0.000855706 0.000295769; 0.000263823 0.000767988 0.0012065 0.00153073 0.00170789 0.00171882 0.00156072 0.00124717 0.000807698 0.000279177; 0.000248337 0.000722911 0.00113569 0.00144091 0.00160769 0.001618 0.00146918 0.00117403 0.000760337 0.000262808; 0.000233178 0.000678784 0.00106637 0.00135297 0.00150958 0.00151928 0.00137956 0.00110242 0.000713964 0.00024678; 0.000218437 0.000635874 0.000998959 0.00126745 0.00141418 0.00142328 0.0012924 0.00103278 0.000668859 0.00023119; 0.000204189 0.000594398 0.000933801 0.00118479 0.00132195 0.00133047 0.00120813 0.000965443 0.000625252 0.000216118; 0.000190492 0.000554527 0.000871162 0.00110532 0.00123329 0.00124124 0.00112711 0.000900703 0.000583324 0.000201626; 0.00017739 0.000516388 0.000811245 0.0010293 0.00114847 0.00115588 0.0010496 0.000838767 0.000543212 0.000187761; 0.000164916 0.000480075 0.000754193 0.00095691 0.00106771 0.0010746 0.000975797 0.000779786 0.000505012 0.000174557; 0.000153088 0.000445645 0.0007001 0.000888276 0.000991126 0.000997524 0.000905811 0.000723857 0.000468789 0.000162036; 0.000141919 0.000413128 0.000649013 0.000823455 0.000918798 0.000924729 0.000839707 0.000671031 0.000434574 0.00015021; 0.000131408 0.000382531 0.000600941 0.000762458 0.000850736 0.000856225 0.000777499 0.000621316 0.000402374 0.00013908; 0.000121552 0.000353837 0.000555858 0.000705253 0.000786903 0.000791977 0.000719155 0.000574688 0.000372174 0.000128641; 0.000112337 0.000327013 0.000513712 0.000651775 0.000727229 0.000731913 0.000664609 0.000531095 0.000343938 0.000118881; 0.000103749 0.000302012 0.00047443 0.000601929 0.000671606 0.000675926 0.000613765 0.000490461 0.000317619 0.000109783; 9.57669e-5 0.000278774 0.000437918 0.000555598 0.000619905 0.000623886 0.000566504 0.000452689 0.000293154 0.000101326; 8.8367e-5 0.000257231 0.00040407 0.000512646 0.000571974 0.000575639 0.000522688 0.00041767 0.000270471 9.34856e-5; 8.15238e-5 0.000237309 0.000372768 0.000472925 0.000527648 0.000531021 0.000482167 0.000385284 0.000249494 8.62344e-5; 7.521e-5 0.000218928 0.000343887 0.000436276 0.00048675 0.000489853 0.000444778 0.000355402 0.000230138 7.95437e-5; 6.93975e-5 0.000202007 0.000317299 0.000402536 0.000449097 0.000451951 0.000410356 0.00032789 0.000212318 7.33837e-5; 6.40572e-5 0.00018646 0.000292871 0.000371538 0.000414504 0.000417129 0.00037873 0.000302612 0.000195945 6.77239e-5; 5.91604e-5 0.000172204 0.000270471 0.000343112 0.000382782 0.000385196 0.000349728 0.000279433 0.00018093 6.25339e-5; 5.46782e-5 0.000159155 0.000249968 0.000317094 0.000353746 0.000355968 0.000323182 0.000258215 0.000167187 5.77832e-5; 5.05826e-5 0.000147232 0.000231234 0.00029332 0.000327213 0.000329259 0.000298925 0.000238827 0.000154629 5.34421e-5; 4.6846e-5 0.000136354 0.000214141 0.000271629 0.000303007 0.000304892 0.000276794 0.000221139 0.000143171 4.94816e-5; 4.34421e-5 0.000126444 0.000198571 0.00025187 0.000280956 0.000282694 0.000256633 0.000205025 0.000132734 4.58735e-5; 4.03452e-5 0.000117428 0.000184405 0.000233893 0.000260894 0.000262499 0.000238292 0.000190365 0.000123238 4.25911e-5; 3.75312e-5 0.000109236 0.000171533 0.000217558 0.000242664 0.000244148 0.000221625 0.000177044 0.00011461 3.96084e-5; 3.49768e-5 0.0001018 0.000159848 0.000202731 0.000226117 0.000227491 0.000206496 0.000164952 0.000106778 3.69011e-5; 3.26603e-5 9.50557e-5 0.000149252 0.000189284 0.000211111 0.000212385 0.000192777 0.000153987 9.96749e-5 3.44459e-5; 3.05609e-5 8.8944e-5 0.000139649 0.000177099 0.000197512 0.000198696 0.000180344 0.00014405 9.32386e-5 3.22211e-5; 2.86594e-5 8.34083e-5 0.000130952 0.000166062 0.000185195 0.000186297 0.000169083 0.00013505 8.74093e-5 3.0206e-5; 2.69376e-5 7.83958e-5 0.000123076 0.000156068 0.000174042 0.000175071 0.000158888 0.000126901 8.21314e-5 2.83816e-5; 2.53787e-5 7.38574e-5 0.000115946 0.00014702 0.000163945 0.000164907 0.000149657 0.000119524 7.73532e-5 2.673e-5; 2.39669e-5 6.97476e-5 0.000109489 0.000138827 0.000154802 0.000155704 0.000141299 0.000112844 7.30267e-5 2.52345e-5; 2.26879e-5 6.60242e-5 0.000103639 0.000131404 0.000146519 0.000147366 0.000133727 0.000106792 6.91075e-5 2.38797e-5; 2.15283e-5 6.26485e-5 9.83359e-5 0.000124675 0.00013901 0.000139808 0.000126863 0.000101307 6.55548e-5 2.26517e-5; 2.04759e-5 5.95849e-5 9.35231e-5 0.000118568 0.000132196 0.000132949 0.000120635 9.63292e-5 6.23313e-5 2.15375e-5; 1.95197e-5 5.68013e-5 8.91504e-5 0.00011302 0.000126005 0.000126718 0.000114977 9.18076e-5 5.9403e-5 2.05253e-5; 1.86497e-5 5.42688e-5 8.51721e-5 0.000107973 0.000120374 0.00012105 0.00010983 8.76946e-5 5.67395e-5 1.96047e-5; 1.7857e-5 5.19615e-5 8.15477e-5 0.000103374 0.000115243 0.000115887 0.000105141 8.39481e-5 5.43135e-5 1.87662e-5; 1.71339e-5 4.98565e-5 7.82414e-5 9.918e-5 0.000110563 0.000111177 0.000100865 8.05313e-5 5.2101e-5 1.80015e-5; 1.64736e-5 4.79344e-5 7.52223e-5 9.535e-5 0.000106291 0.000106878 9.69613e-5 7.74121e-5 5.00813e-5 1.73034e-5; 1.58702e-5 4.61782e-5 7.24642e-5 9.18513e-5 0.000102388 0.00010295 9.33957e-5 7.45633e-5 4.82368e-5 1.66659e-5; 1.53192e-5 4.45744e-5 6.99454e-5 8.86564e-5 9.88237e-5 9.93643e-5 9.01403e-5 7.19626e-5 4.6553e-5 1.6084e-5; 1.48167e-5 4.3112e-5 6.76488e-5 8.57435e-5 9.55746e-5 9.60953e-5 8.71728e-5 6.9592e-5 4.50183e-5 1.55536e-5]
  :substepper => [1.19424e-5 3.65966e-5 5.98968e-5 7.92206e-5 9.23409e-5 9.72938e-5 9.26706e-5 7.78403e-5 5.31497e-5 1.9676e-5; 1.15928e-5 3.55184e-5 5.8121e-5 7.68578e-5 8.95712e-5 9.43596e-5 8.98612e-5 7.54686e-5 5.15223e-5 1.90705e-5; 1.12812e-5 3.45579e-5 5.65401e-5 7.47551e-5 8.71068e-5 9.17492e-5 8.73621e-5 7.3359e-5 5.0075e-5 1.85321e-5; 1.10073e-5 3.3714e-5 5.51517e-5 7.29093e-5 8.4944e-5 8.94585e-5 8.5169e-5 7.15079e-5 4.88051e-5 1.806e-5; 1.07711e-5 3.29871e-5 5.39565e-5 7.13208e-5 8.3083e-5 8.74873e-5 8.32818e-5 6.99148e-5 4.77125e-5 1.76539e-5; 1.05733e-5 3.2379e-5 5.29575e-5 6.99936e-5 8.15279e-5 8.58396e-5 8.17035e-5 6.85823e-5 4.67986e-5 1.73144e-5; 1.0415e-5 3.18929e-5 5.21597e-5 6.89338e-5 8.02855e-5 8.45219e-5 8.04399e-5 6.75146e-5 4.60663e-5 1.70425e-5; 1.02973e-5 3.15326e-5 5.15691e-5 6.81489e-5 7.93637e-5 8.35418e-5 7.94978e-5 6.6717e-5 4.5519e-5 1.68395e-5; 1.02214e-5 3.13017e-5 5.11914e-5 6.7646e-5 7.87701e-5 8.29064e-5 7.88829e-5 6.61939e-5 4.51592e-5 1.67063e-5; 1.01883e-5 3.12029e-5 5.10306e-5 6.74301e-5 7.85096e-5 8.262e-5 7.85988e-5 6.59476e-5 4.49885e-5 1.66434e-5; 1.01985e-5 3.12374e-5 5.10887e-5 6.75028e-5 7.85836e-5 8.26833e-5 7.86453e-5 6.59775e-5 4.50059e-5 1.66503e-5; 1.02517e-5 3.14048e-5 5.13644e-5 6.78623e-5 7.89894e-5 8.30929e-5 7.90183e-5 6.62796e-5 4.52086e-5 1.6726e-5; 1.03473e-5 3.17027e-5 5.1854e-5 6.85034e-5 7.97203e-5 8.38409e-5 7.971e-5 6.68468e-5 4.55912e-5 1.68683e-5; 1.0484e-5 3.21277e-5 5.25514e-5 6.94178e-5 8.07664e-5 8.49165e-5 8.07091e-5 6.76689e-5 4.61466e-5 1.70746e-5; 1.06605e-5 3.26751e-5 5.34493e-5 7.05953e-5 8.21153e-5 8.6306e-5 8.20019e-5 6.87339e-5 4.68661e-5 1.73416e-5; 1.08749e-5 3.33396e-5 5.45387e-5 7.20242e-5 8.37526e-5 8.79932e-5 8.35723e-5 7.00276e-5 4.77399e-5 1.76655e-5; 1.11256e-5 3.41156e-5 5.58101e-5 7.36911e-5 8.56622e-5 8.99606e-5 8.54028e-5 7.15348e-5 4.8757e-5 1.80422e-5; 1.14104e-5 3.49969e-5 5.7253e-5 7.55816e-5 8.78267e-5 9.2189e-5 8.74747e-5 7.32396e-5 4.99067e-5 1.84676e-5; 1.17275e-5 3.59771e-5 5.88566e-5 7.7681e-5 9.02284e-5 9.46599e-5 8.97702e-5 7.51269e-5 5.11785e-5 1.8938e-5; 1.2075e-5 3.70504e-5 6.06109e-5 7.99761e-5 9.28523e-5 9.73575e-5 9.22751e-5 7.71853e-5 5.2565e-5 1.94506e-5; 1.24513e-5 3.82122e-5 6.25088e-5 8.24578e-5 9.56888e-5 0.000100273 9.49825e-5 7.94102e-5 5.40635e-5 2.00044e-5; 1.28559e-5 3.94609e-5 6.45482e-5 8.51248e-5 9.87385e-5 0.000103411 9.7898e-5 8.18078e-5 5.56792e-5 2.06016e-5; 1.32895e-5 4.0799e-5 6.67348e-5 8.7987e-5 0.000102016 0.000106789 0.000101043 8.43988e-5 5.74274e-5 2.12482e-5; 1.37543e-5 4.22345e-5 6.90836e-5 9.10679e-5 0.000105554 0.000110446 0.000104459 8.72208e-5 5.93355e-5 2.19545e-5; 1.42548e-5 4.37816e-5 7.16206e-5 9.4406e-5 0.000109402 0.000114442 0.000108207 9.03291e-5 6.14431e-5 2.27359e-5; 1.47973e-5 4.54611e-5 7.43823e-5 9.80543e-5 0.000113628 0.000118853 0.000112367 9.37957e-5 6.38018e-5 2.3612e-5; 1.53904e-5 4.72997e-5 7.74152e-5 0.000102079 0.000118316 0.000123776 0.000117037 9.77066e-5 6.64729e-5 2.46059e-5; 1.60441e-5 4.93296e-5 8.07751e-5 0.00010656 0.000123564 0.00012932 0.000122327 0.000102158 6.95242e-5 2.57434e-5; 1.67705e-5 5.15885e-5 8.45258e-5 0.000111584 0.00012948 0.000135604 0.000128353 0.000107252 7.30272e-5 2.70515e-5; 1.75833e-5 5.41194e-5 8.87392e-5 0.000117248 0.000136179 0.000142752 0.000135237 0.000113093 7.70534e-5 2.85568e-5; 1.84981e-5 5.69702e-5 9.34938e-5 0.000123657 0.000143782 0.000150891 0.000143098 0.000119778 8.16699e-5 3.02843e-5; 1.95316e-5 6.01923e-5 9.88723e-5 0.000130916 0.000152408 0.00016014 0.000152046 0.000127397 8.69355e-5 3.22554e-5; 2.07011e-5 6.38381e-5 0.000104958 0.00013913 0.000162168 0.000170607 0.000162173 0.000136021 9.28959e-5 3.44866e-5; 2.20234e-5 6.7958e-5 0.000111829 0.000148393 0.000173162 0.000182381 0.000173552 0.000145701 9.95825e-5 3.69888e-5; 2.35136e-5 7.25968e-5 0.000119553 0.000158785 0.000185465 0.000195527 0.000186229 0.000156469 0.000107012 3.97676e-5; 2.51836e-5 7.779e-5 0.000128183 0.000170364 0.000199132 0.000210085 0.000200232 0.000168337 0.000115189 4.28233e-5; 2.70417e-5 8.35604e-5 0.000137751 0.000183163 0.000214191 0.000226075 0.000215567 0.000181304 0.000124108 4.61535e-5; 2.90915e-5 8.99188e-5 0.000148271 0.000197201 0.000230661 0.000243515 0.000232248 0.000195377 0.000133772 4.97586e-5; 3.13336e-5 9.68675e-5 0.000159751 0.00021249 0.000248564 0.000262435 0.000250313 0.000210594 0.000144208 5.36489e-5; 3.37669e-5 0.000104406 0.000172197 0.000229054 0.000267945 0.000282903 0.000269842 0.000227035 0.000155481 5.785e-5; 3.63921e-5 0.000112541 0.000185633 0.000246941 0.000288883 0.000305025 0.000290964 0.000244832 0.000167689 6.24021e-5; 3.9216e-5 0.000121298 0.000200113 0.000266244 0.000311513 0.000328976 0.000313874 0.000264166 0.000180971 6.7358e-5; 4.22573e-5 0.000130737 0.000215746 0.000287127 0.000336052 0.000355018 0.000338849 0.000285287 0.000195501 7.27832e-5; 4.55497e-5 0.000140963 0.000232707 0.000309833 0.000362806 0.000383495 0.000366235 0.000308495 0.000211483 7.87524e-5; 4.914e-5 0.000152117 0.000251225 0.000334663 0.000392128 0.000414779 0.000396383 0.00033408 0.000229113 8.53382e-5; 5.30836e-5 0.000164369 0.000271564 0.000361949 0.000424373 0.000449209 0.000429582 0.000362264 0.00024854 9.25971e-5; 5.74385e-5 0.000177892 0.000294001 0.000392027 0.000459887 0.000487085 0.000466063 0.000393214 0.000269873 0.00010057; 6.22571e-5 0.000192847 0.000318793 0.00042522 0.000499005 0.000528708 0.00050607 0.000427112 0.000293227 0.000109298; 6.75705e-5 0.00020933 0.000346102 0.000461748 0.000541982 0.000574343 0.000549854 0.000464172 0.000318739 0.000118826; 7.33701e-5 0.000227318 0.000375899 0.000501599 0.00058884 0.000624052 0.00059752 0.000504504 0.000346484 0.000129178; 7.96057e-5 0.000246657 0.00040794 0.00054447 0.000639268 0.000677569 0.000648866 0.000547963 0.000376371 0.000140325; 8.62166e-5 0.00026716 0.000441916 0.000589951 0.000692806 0.000734442 0.000703486 0.000594214 0.000408186 0.000152196; 9.31844e-5 0.000288769 0.000477727 0.000637893 0.000749263 0.000794467 0.000761169 0.000643067 0.000441813 0.000164755; 0.000100565 0.000311657 0.000515655 0.000688655 0.000809037 0.000858043 0.000822267 0.000694807 0.000477449 0.000178073; 0.000108465 0.000336155 0.000556251 0.000742972 0.000872978 0.000926054 0.000887602 0.00075013 0.000515564 0.000192319; 0.000116969 0.000362528 0.000599966 0.00080146 0.00094182 0.000999273 0.000957921 0.000809677 0.00055659 0.000207645; 0.000126083 0.000390798 0.000646839 0.000864183 0.00101566 0.0010778 0.00103334 0.000873559 0.000600596 0.000224076; 0.000135735 0.000420744 0.000696504 0.000930656 0.00109394 0.00116106 0.00111331 0.000941313 0.000647265 0.0002415; 0.00014584 0.0004521 0.000748509 0.00100027 0.00117594 0.00124828 0.00119714 0.00101233 0.000696183 0.000259769; 0.000156359 0.00048474 0.00080264 0.00107273 0.00126133 0.00133911 0.00128444 0.0010863 0.000747137 0.000278803; 0.000167303 0.0005187 0.000858953 0.00114812 0.00135017 0.00143361 0.00137528 0.00116326 0.000800147 0.000298606; 0.000178688 0.000554026 0.000917525 0.00122652 0.00144254 0.00153186 0.0014697 0.00124324 0.000855231 0.000319181; 0.000190473 0.000590596 0.000978154 0.00130765 0.00153809 0.00163346 0.0015673 0.00132589 0.000912151 0.000340439; 0.000202551 0.000628073 0.00104028 0.00139077 0.00163593 0.00173745 0.00166714 0.00141044 0.000970379 0.000362186; 0.000214777 0.000666015 0.00110317 0.0014749 0.00173493 0.00184265 0.00176815 0.00149596 0.00102928 0.000384188; 0.000227026 0.000704025 0.00116617 0.00155917 0.00183411 0.00194807 0.00186938 0.00158169 0.00108832 0.000406242; 0.000239206 0.000741821 0.00122881 0.00164297 0.00193276 0.00205296 0.00197016 0.00166704 0.0011471 0.000428191; 0.000251247 0.000779179 0.00129072 0.0017258 0.0020303 0.0021567 0.00206983 0.00175146 0.0012052 0.000449885; 0.000263057 0.000815815 0.00135142 0.00180701 0.00212593 0.00225837 0.00216748 0.00183414 0.0012621 0.000471119; 0.00027449 0.000851279 0.00141017 0.00188559 0.00221841 0.00235662 0.00226178 0.00191394 0.00131701 0.000491612; 0.000285343 0.000884943 0.00146594 0.00196016 0.00230609 0.00244967 0.00235102 0.00198943 0.00136895 0.000511003; 0.000295372 0.000916051 0.00151747 0.00202904 0.00238704 0.0025355 0.00243326 0.002059 0.00141683 0.000528882; 0.000304319 0.000943799 0.00156343 0.00209046 0.00245918 0.00261197 0.00250651 0.00212094 0.00145947 0.000544811; 0.000311932 0.000967401 0.00160251 0.00214266 0.0025205 0.00267695 0.00256876 0.00217356 0.00149569 0.000558336; 0.000317977 0.000986125 0.00163348 0.00218401 0.00256905 0.00272839 0.002618 0.00221515 0.00152427 0.000569003; 0.000322235 0.000999291 0.00165521 0.00221295 0.00260298 0.00276429 0.00265228 0.00224402 0.00154406 0.000576369; 0.000324502 0.00100627 0.00166663 0.00222806 0.00262055 0.00278273 0.00266972 0.00225855 0.00155391 0.00058001; 0.000324582 0.00100644 0.00166674 0.00222794 0.00262009 0.00278188 0.00266853 0.0022572 0.00155278 0.000579535; 0.000322282 0.000999208 0.00165454 0.00221127 0.00260002 0.00276003 0.00264704 0.00223857 0.00153969 0.000574585; 0.000317418 0.000984009 0.00162909 0.00217678 0.00255883 0.0027156 0.00260372 0.00220136 0.00151377 0.000564833; 0.000309818 0.000960306 0.00158951 0.0021233 0.00249517 0.00264713 0.0025372 0.00214443 0.00147424 0.000549988; 0.000299333 0.000927639 0.00153503 0.00204984 0.00240787 0.00255341 0.00244633 0.00206682 0.00142044 0.000529807; 0.000285854 0.000885669 0.00146511 0.00195564 0.00229607 0.00243355 0.00233027 0.00196782 0.00135188 0.000504108; 0.000269325 0.000834219 0.00137945 0.00184034 0.00215935 0.00228711 0.00218859 0.00184707 0.00126832 0.000472797; 0.000249756 0.000773328 0.00127812 0.00170401 0.00199779 0.00211416 0.00202137 0.00170462 0.00116978 0.000435887; 0.000227241 0.00070328 0.00116157 0.00154726 0.0018121 0.00191545 0.0018293 0.00154106 0.00105667 0.00039352; 0.00020196 0.00062463 0.00103072 0.00137131 0.00160368 0.00169245 0.00161376 0.00135752 0.000929737 0.000345983; 0.000174185 0.000538222 0.000886963 0.00117797 0.00137464 0.00144734 0.00137683 0.00115573 0.000790183 0.000293715; 0.000144282 0.000445188 0.000732147 0.000969698 0.00112783 0.00118313 0.00112133 0.000938072 0.000639624 0.000237319; 0.000112713 0.000346948 0.000568608 0.00074959 0.000866855 0.000903585 0.000850867 0.000707563 0.000480123 0.000177563; 8.00261e-5 0.000245201 0.000399144 0.000521353 0.00059603 0.000613271 0.000569786 0.000467861 0.000314187 0.000115383; 4.68552e-5 0.000141909 0.000226993 0.000289296 0.000320403 0.000317517 0.000283175 0.000223255 0.00014476 5.1873e-5; 1.39118e-5 3.92792e-5 5.58038e-5 5.82842e-5 4.56765e-5 2.23577e-5 -3.19246e-6 -2.1387e-5 -2.48193e-5 -1.17191e-5; -1.80254e-5 -6.02721e-5 -0.00011042 -0.000166335 -0.000221868 -0.000265552 -0.000282953 -0.000260697 -0.000190864 -7.40194e-5; -4.81256e-5 -0.000154164 -0.000267398 -0.000378838 -0.000475509 -0.000539093 -0.0005493 -0.000488935 -0.000349435 -0.000133558; -7.5526e-5 -0.000239717 -0.000410686 -0.000573285 -0.000708272 -0.000790885 -0.000795181 -0.000700158 -0.000496456 -0.000188817; -9.93574e-5 -0.000314233 -0.000535818 -0.000743717 -0.000913174 -0.00101355 -0.00101355 -0.000888441 -0.000627865 -0.00023828; -0.000118776 -0.000375099 -0.00063848 -0.000884393 -0.00108351 -0.00120001 -0.00119769 -0.00104812 -0.000739784 -0.000280505; -0.000133 -0.000419899 -0.000714698 -0.000990048 -0.00121314 -0.00134384 -0.00134147 -0.00117408 -0.000828713 -0.000314188; -0.000141346 -0.000446529 -0.000761034 -0.00105616 -0.00129684 -0.00143956 -0.00143974 -0.00126201 -0.000891712 -0.000338237; -0.000143269 -0.000453314 -0.000774771 -0.00107918 -0.00133057 -0.00148301 -0.00148859 -0.00130865 -0.000926582 -0.000351838; -0.000138396 -0.000439122 -0.000754093 -0.00105681 -0.00131172 -0.00147156 -0.00148563 -0.0013121 -0.000932034 -0.000354515; -0.000126563 -0.000403459 -0.000698248 -0.000988146 -0.00123941 -0.00140444 -0.00143026 -0.00127192 -0.00090783 -0.00034619; -0.000107845 -0.000346576 -0.00060771 -0.000873943 -0.00111469 -0.00128292 -0.00132386 -0.00118941 -0.000854909 -0.000327223; -8.25857e-5 -0.000269557 -0.000484324 -0.000716774 -0.000940736 -0.00111057 -0.00117001 -0.0010677 -0.000775484 -0.000298452; -5.14246e-5 -0.000174395 -0.000331432 -0.000521187 -0.000723026 -0.000893358 -0.000974581 -0.000911858 -0.000673101 -0.000261214; -1.53104e-5 -6.4042e-5 -0.000153941 -0.000293786 -0.000469409 -0.000639713 -0.000745757 -0.000728904 -0.000552635 -0.000217339; 2.45016e-5 5.76096e-5 4.1704e-5 -4.318e-5 -0.000190022 -0.000360432 -0.000493938 -0.000527674 -0.000420196 -0.000169115; 6.64769e-5 0.000185809 0.000247671 0.000220224 0.000102972 -6.83685e-5 -0.000231418 -0.000318558 -0.000282942 -0.000119219; 0.000108856 0.00031512 0.00045503 0.000484622 0.000395864 0.000222083 2.8117e-5 -0.000113062 -0.000148762 -7.05918e-5; 0.000149737 0.000439675 0.000654174 0.000737368 0.000674041 0.000495679 0.000270261 7.67706e-5 -2.58784e-5 -2.6292e-5; 0.00018717 0.000553478 0.000835317 0.000965645 0.00092278 0.000737157 0.000480696 0.000239051 7.76392e-5 1.06883e-5; 0.000219273 0.000650737 0.000989042 0.00115718 0.00112808 0.000932137 0.00064606 0.000362791 0.000154391 3.76178e-5; 0.000244331 0.000726196 0.00110684 0.00130097 0.00127754 0.00106804 0.000754848 0.000438673 0.000198182 5.22265e-5; 0.000260903 0.000775443 0.00118162 0.00138799 0.00136116 0.001135 0.000798303 0.000459816 0.000204554 5.29048e-5; 0.000267906 0.000795197 0.00120821 0.00141184 0.00137219 0.00112676 0.000771272 0.00042251 0.000171292 3.88934e-5; 0.000264704 0.000783569 0.00118379 0.00136937 0.00130787 0.00104144 0.000673014 0.000326897 9.88858e-5 1.04535e-5; 0.000251175 0.000740299 0.00110831 0.00126128 0.00117008 0.000882338 0.000507848 0.0001775 -9.10953e-6 -3.09992e-5; 0.000227773 0.000666939 0.000984819 0.00109247 0.000965836 0.000658291 0.000285559 -1.64671e-5 -0.000145887 -8.28299e-5; 0.000195563 0.000566962 0.000819578 0.000872296 0.000707424 0.000383795 2.13731e-5 -0.000241178 -0.000301463 -0.000141217; 0.000156221 0.00044574 0.000622025 0.000614305 0.000412054 7.85108e-5 -0.000264607 -0.000478755 -0.000463106 -0.00020132; 0.00011198 0.000310361 0.000404384 0.000335667 0.000100983 -0.000233849 -0.000548626 -0.000708403 -0.000616163 -0.000257599; 6.55311e-5 0.000169278 0.000180986 5.61012e-5 -0.000201914 -0.000527237 -0.000805094 -0.000908062 -0.000745258 -0.000304272; 1.98635e-5 3.17965e-5 -3.26711e-5 -0.000203551 -0.000472023 -0.000775472 -0.00100889 -0.00105651 -0.000835791 -0.00033589; -2.19259e-5 -9.25573e-5 -0.000221058 -0.000422996 -0.00068616 -0.000954749 -0.00113794 -0.00113559 -0.000875569 -0.000347957; -5.68572e-5 -0.000194745 -0.000369853 -0.000584265 -0.000824799 -0.00104614 -0.00117577 -0.0011326 -0.000856441 -0.000337549; -8.23037e-5 -0.000266958 -0.000467199 -0.00067345 -0.000874206 -0.00103796 -0.00111376 -0.00104212 -0.000775623 -0.000303818; -9.62393e-5 -0.000303378 -0.00050493 -0.000682295 -0.000828241 -0.000927585 -0.000952935 -0.000867508 -0.00063669 -0.00024835; -9.74801e-5 -0.000300897 -0.000479678 -0.000609525 -0.000689739 -0.000722721 -0.000704863 -0.000621537 -0.000449903 -0.000175271; -8.59152e-5 -0.000259786 -0.000393812 -0.000461789 -0.00047121 -0.000441716 -0.000391643 -0.000326069 -0.000231872 -9.10951e-5; -6.26873e-5 -0.000184179 -0.000256027 -0.000254046 -0.000194746 -0.000112849 -4.46207e-5 -1.05695e-5 -4.31512e-6 -4.21971e-6; -3.02859e-5 -8.2289e-5 -8.14135e-5 -9.11693e-6 0.000109267 0.000227825 0.000298319 0.000290632 0.00020803 7.58963e-5; 7.51797e-6 3.38983e-5 0.000109337 0.000243872 0.000404656 0.000539924 0.00059679 0.000542249 0.000380321 0.000139861; 4.59296e-5 0.000149491 0.000291595 0.000472206 0.000653346 0.000783555 0.000813082 0.000712788 0.000491067 0.000179677; 7.96215e-5 0.000248281 0.00043962 0.000643573 0.000820286 0.00092488 0.000917839 0.000779598 0.000525709 0.000190093; 0.000103405 0.000314827 0.000529983 0.000730661 0.000878959 0.000941923 0.000895492 0.000733359 0.000479662 0.000169743; 0.000113106 0.000337127 0.000545874 0.000716514 0.000816744 0.000829345 0.000748211 0.000581018 0.000360181 0.000121823; 0.000106447 0.000309187 0.000480731 0.000598394 0.000638512 0.00060114 0.000497379 0.000346288 0.000186311 5.39609e-5; 8.38145e-5 0.000233156 0.000341211 0.000390756 0.000368526 0.000290861 0.000182126 6.71561e-5 -1.34357e-5 -2.27434e-5; 4.86957e-5 0.000120417 0.000148155 0.000125076 4.85005e-5 -5.22617e-5 -0.00014603 -0.000209861 -0.000205664 -9.55798e-5; 7.44331e-6 -9.27169e-6 -6.53305e-5 -0.000153457 -0.000267442 -0.000370171 -0.000431076 -0.000437266 -0.000357749 -0.000152398; -3.14596e-5 -0.000130289 -0.000258361 -0.00039248 -0.000521085 -0.000605388 -0.000622141 -0.000575123 -0.000443766 -0.000183831; -5.91184e-5 -0.000216055 -0.000389818 -0.000542204 -0.000661477 -0.000713033 -0.000684648 -0.000599659 -0.000449747 -0.000185115; -6.83689e-5 -0.000245669 -0.000428683 -0.000567691 -0.000657224 -0.000671099 -0.000607552 -0.000507907 -0.000376327 -0.000156999; -5.60114e-5 -0.000210137 -0.00036294 -0.000458865 -0.000505761 -0.000487716 -0.000408178 -0.00032057 -0.000240143 -0.000106102; -2.44176e-5 -0.000116945 -0.000206275 -0.000237334 -0.000237943 -0.000201861 -0.000129199 -7.72658e-5 -7.01294e-5 -4.35006e-5; 1.85371e-5 9.41551e-6 8.66374e-7 4.26196e-5 8.25509e-5 0.000120064 0.000166838 0.000169241 9.71379e-5 1.70817e-5; 6.12568e-5 0.000133536 0.000201552 0.000307489 0.000374201 0.000399616 0.000411825 0.000365274 0.000226421 6.27476e-5; 9.0898e-5 0.000216011 0.000332404 0.000476484 0.000550651 0.000557487 0.000539928 0.000461013 0.000286509 8.24391e-5; 9.83935e-5 0.000230428 0.000352407 0.000497888 0.000557558 0.000545157 0.00051165 0.000427055 0.000259508 7.01061e-5; 8.27918e-5 0.000174605 0.000258665 0.000369069 0.00039566 0.000368057 0.000334271 0.000269958 0.000150894 2.83128e-5; 5.2237e-5 7.45841e-5 9.47065e-5 0.000146501 0.00012965 9.25218e-5 6.89882e-5 4.14607e-5 -2.46441e-6 -2.86912e-5; 2.25922e-5 -2.07385e-5 -5.96005e-5 -6.49599e-5 -0.000121097 -0.000161027 -0.000172207 -0.000163473 -0.000135746 -7.71682e-5; 5.9136e-6 -7.42016e-5 -0.000142701 -0.000182122 -0.000258895 -0.000293569 -0.000296607 -0.000266516 -0.000195955 -9.80171e-5; 4.54107e-6 -7.92902e-5 -0.000144613 -0.000190429 -0.000264354 -0.000284814 -0.000285162 -0.00025199 -0.000174997 -8.94706e-5; 1.31785e-5 -5.08204e-5 -8.78225e-5 -0.000114487 -0.000164566 -0.00016839 -0.000170546 -0.000150873 -9.94316e-5 -6.20907e-5; 2.4205e-5 -1.37542e-5 -1.85539e-5 -2.13475e-5 -4.17989e-5 -3.11677e-5 -3.39187e-5 -3.07758e-5 -1.39044e-5 -3.16049e-5; 3.37127e-5 1.98806e-5 4.23788e-5 5.99276e-5 6.67662e-5 8.60022e-5 8.4518e-5 7.30496e-5 5.77402e-5 -6.15958e-6; 4.01578e-5 4.48034e-5 8.55521e-5 0.000115657 0.000142035 0.000163222 0.000163024 0.000140826 0.000102822 1.01006e-5; 4.27383e-5 5.77313e-5 0.000105709 0.000138899 0.000173864 0.000190977 0.000189914 0.000161968 0.000115026 1.48957e-5; 4.11909e-5 5.75775e-5 0.00010212 0.000129335 0.000161515 0.000170123 0.000165596 0.000137678 9.53361e-5 7.87285e-6; 3.56718e-5 4.46202e-5 7.58761e-5 8.93308e-5 0.000109386 0.000106931 9.78355e-5 7.66695e-5 5.00636e-5 -9.08706e-6; 2.6838e-5 2.07672e-5 3.05046e-5 2.48251e-5 2.7416e-5 1.39993e-5 1.83328e-6 -5.96811e-6 -1.00014e-5 -3.20878e-5; 1.5997e-5 -1.0157e-5 -2.75022e-5 -5.45062e-5 -6.97075e-5 -9.09253e-5 -0.000102199 -9.18895e-5 -7.23289e-5 -5.63535e-5; 5.80644e-6 -4.02709e-5 -8.51858e-5 -0.000131316 -0.00015967 -0.000183861 -0.000190242 -0.000161536 -0.000123371 -7.62375e-5; 1.0178e-6 -5.47402e-5 -0.000117406 -0.000172294 -0.000203518 -0.000225634 -0.000226701 -0.000187191 -0.000143803 -8.39985e-5; 6.85421e-6 -3.72166e-5 -9.68133e-5 -0.000141683 -0.000161028 -0.000177159 -0.000177512 -0.000141956 -0.000114865 -7.26125e-5; 2.521e-5 1.85251e-5 -1.28031e-5 -2.65847e-5 -2.06103e-5 -3.02702e-5 -3.81088e-5 -2.21489e-5 -3.30642e-5 -4.08809e-5; 5.18749e-5 9.98925e-5 0.000114032 0.000144227 0.000181894 0.000176488 0.000154078 0.00014135 8.09886e-5 3.53773e-6; 7.7435e-5 0.000177924 0.000235906 0.00030687 0.000372924 0.000369658 0.000331703 0.000292347 0.000188353 4.61437e-5; 9.16682e-5 0.000220811 0.000300118 0.000391877 0.000474932 0.000474684 0.000428543 0.000374978 0.000249001 7.16493e-5; 8.84737e-5 0.00020918 0.000273648 0.000355582 0.000440565 0.000447833 0.000406904 0.000356408 0.000237593 6.97937e-5; 6.84067e-5 0.000144406 0.000157782 0.000199123 0.000271413 0.000291439 0.000269129 0.000236578 0.00015098 3.82835e-5; 3.80777e-5 4.69248e-5 -1.43952e-5 -3.51458e-5 1.32082e-5 4.8335e-5 5.19732e-5 4.42364e-5 7.00385e-6 -1.7023e-5; 7.31973e-6 -5.25187e-5 -0.000192153 -0.000281655 -0.00026342 -0.00021576 -0.000187962 -0.00017417 -0.000162082 -8.40356e-5; -1.43266e-5 -0.00012379 -0.000324894 -0.000474057 -0.000486245 -0.000432732 -0.000390539 -0.000366986 -0.000317953 -0.000147538; -2.0456e-5 -0.000146404 -0.000377322 -0.000564682 -0.000601761 -0.000550096 -0.000506767 -0.000489197 -0.000425024 -0.000192803; -9.21345e-6 -0.000114013 -0.000337195 -0.000534809 -0.000586329 -0.000541562 -0.000508432 -0.000511461 -0.000458101 -0.000208992; 1.67953e-5 -3.43265e-5 -0.000215686 -0.000395786 -0.000448217 -0.000410306 -0.000392678 -0.00042559 -0.000407541 -0.000191499; 5.17774e-5 7.48848e-5 -4.09595e-5 -0.000181572 -0.000221113 -0.000184858 -0.000180704 -0.000245442 -0.000280872 -0.000142708; 8.8604e-5 0.000191501 0.000151014 6.25518e-5 4.70968e-5 8.99866e-5 8.86152e-5 -2.6699e-6 -0.000100168 -7.10512e-5; 0.000120583 0.000294575 0.000325468 0.000291288 0.00030604 0.000363816 0.000367701 0.000260598 0.000103318 1.11527e-5; 0.000142703 0.000368241 0.000455419 0.000468054 0.000512739 0.000590561 0.000609789 0.000500388 0.00029574 9.0357e-5; 0.000152174 0.000403443 0.000524694 0.000569421 0.000637411 0.00073545 0.000776689 0.000678677 0.000446856 0.000154291; 0.000148379 0.000397826 0.000527995 0.000585804 0.000665334 0.000778398 0.000843595 0.000768825 0.000534601 0.000193842; 0.000132463 0.000354532 0.000469155 0.000519784 0.000595986 0.000714533 0.000801015 0.000758337 0.000547584 0.000204121; 0.000106823 0.000280653 0.000358779 0.00038345 0.000440782 0.000552845 0.000654495 0.0006493 0.000485703 0.000184753; 7.46688e-5 0.000185896 0.00021213 0.000195807 0.000220407 0.000313841 0.000422684 0.000456884 0.000359134 0.000139492; 3.96825e-5 8.15465e-5 4.74568e-5 -1.9442e-5 -3.77872e-5 2.66644e-5 0.000134314 0.000206421 0.00018606 7.53192e-5; 5.73243e-6 -2.04438e-5 -0.000115597 -0.000236155 -0.000302716 -0.000274471 -0.000175819 -7.0574e-5 -1.04647e-5 1.16841e-6; -2.34444e-5 -0.000108468 -0.000257763 -0.000428342 -0.000542999 -0.000554525 -0.000471643 -0.000341122 -0.000206168 -7.35286e-5; -4.46088e-5 -0.00017243 -0.000362171 -0.000573061 -0.000730707 -0.000782117 -0.000720723 -0.000575485 -0.000379135 -0.000140252; -5.53906e-5 -0.000204912 -0.000416332 -0.000653164 -0.000844789 -0.000933454 -0.000898361 -0.000750953 -0.0005126 -0.000192482; -5.45721e-5 -0.000202052 -0.000413582 -0.000659234 -0.000873373 -0.000994826 -0.000990056 -0.000853984 -0.000596466 -0.00022627; -4.22e-5 -0.000163873 -0.000353604 -0.000590232 -0.000814443 -0.000963177 -0.000991914 -0.000880442 -0.000627381 -0.000240253; -1.94974e-5 -9.40034e-5 -0.000241927 -0.000452775 -0.00067488 -0.000844918 -0.000909272 -0.000834213 -0.00060768 -0.000235228; 1.13849e-5 1.08733e-6 -8.86761e-5 -0.000259471 -0.000468444 -0.000653632 -0.000754309 -0.000725019 -0.00054375 -0.000213516; 4.76953e-5 0.000113081 9.29966e-5 -2.69086e-5 -0.000213469 -0.000407624 -0.00054362 -0.000566241 -0.000444473 -0.000178371; 8.64079e-5 0.000232783 0.000288423 0.000226225 6.92009e-5 -0.000127864 -0.000296319 -0.000373352 -0.000320147 -0.000133565; 0.000124498 0.000350945 0.000482693 0.000480689 0.000357833 0.000163539 -3.27439e-5 -0.000162921 -0.000181844 -8.31649e-5; 0.000159164 0.000458933 0.000661697 0.000717977 0.00063116 0.000444574 0.000226543 4.80886e-5 -4.1004e-5 -3.13942e-5; 0.000188 0.000549278 0.000813043 0.000921511 0.000869698 0.000694606 0.000461843 0.00024312 9.1054e-5 1.75374e-5; 0.000209146 0.000616141 0.00092687 0.00107778 0.00105712 0.000895823 0.000655669 0.000407123 0.000203858 5.96981e-5; 0.000221385 0.000655662 0.000996496 0.0011773 0.00118148 0.00103466 0.000794188 0.000527806 0.000288658 9.17632e-5; 0.000224194 0.000666118 0.00101874 0.00121518 0.00123608 0.00110286 0.000868374 0.000596719 0.000339225 0.000111324; 0.000217706 0.000647842 0.000993855 0.00119109 0.00121955 0.00109777 0.000874531 0.000609843 0.000352327 0.000117078; 0.000202616 0.000602908 0.000925004 0.00110874 0.00113536 0.00102201 0.000814084 0.000567551 0.000327781 0.000108869; 0.000180028 0.000534697 0.000817587 0.000974891 0.000990818 0.000882475 0.000692795 0.00047405 0.000268124 8.75713e-5; 0.00015132 0.000447439 0.00067847 0.000798444 0.000795909 0.000689202 0.000519714 0.000336545 0.000178074 5.48964e-5; 0.000118022 0.000345855 0.000515395 0.000589577 0.000562354 0.000454314 0.000306165 0.000164379 6.39359e-5 1.3174e-5; 8.17373e-5 0.000234918 0.00033656 0.000359181 0.000302859 0.000191194 6.48874e-5 -3.17353e-5 -6.69488e-5 -3.48604e-5; 4.41016e-5 0.000119695 0.000150354 0.000118457 3.059e-5 -8.61712e-5 -0.000190672 -0.000240388 -0.000206702 -8.62583e-5; 6.73453e-6 5.21459e-6 -3.4893e-5 -0.000121453 -0.000241325 -0.000363789 -0.000447022 -0.000450097 -0.000347379 -0.000138042; -2.88095e-5 -0.0001037 -0.000211195 -0.000349878 -0.000500326 -0.000628295 -0.000691296 -0.000649931 -0.000481425 -0.000187382; -6.11089e-5 -0.000202644 -0.00037127 -0.000557107 -0.000735017 -0.000867607 -0.000911916 -0.000830097 -0.000602098 -0.000231759; -8.89457e-5 -0.000287843 -0.000508889 -0.000734855 -0.000935713 -0.00107151 -0.00109915 -0.000982408 -0.000703786 -0.000269083; -0.000111364 -0.000356339 -0.000619169 -0.00087663 -0.00109484 -0.00123205 -0.00124546 -0.00110056 -0.000782196 -0.000297757; -0.000127703 -0.000406081 -0.000698718 -0.000977914 -0.00120713 -0.0013437 -0.00134561 -0.00118021 -0.00083437 -0.000316688; -0.0001376 -0.000435935 -0.000745641 -0.00103616 -0.00126957 -0.00140329 -0.00139661 -0.00121883 -0.000858602 -0.000325242; -0.000140967 -0.000445619 -0.000759436 -0.00105064 -0.00128127 -0.0014098 -0.00139744 -0.00121556 -0.000854294 -0.000323197; -0.000137958 -0.000435595 -0.000740825 -0.00102224 -0.00124315 -0.00136413 -0.00134887 -0.00117099 -0.000821816 -0.000310684; -0.000128928 -0.000406949 -0.000691559 -0.00095321 -0.00115775 -0.00126881 -0.00125321 -0.00108698 -0.000762399 -0.000288153; -0.000114392 -0.000361268 -0.000614228 -0.000846945 -0.00102893 -0.00112782 -0.00111412 -0.000966511 -0.000678046 -0.00025634; -9.49906e-5 -0.000300531 -0.00051208 -0.000707724 -0.000861643 -0.000946292 -0.000936412 -0.000813573 -0.000571449 -0.000216241; -7.14523e-5 -0.000226994 -0.000388842 -0.000540491 -0.000661641 -0.000730262 -0.000725813 -0.000632946 -0.000445868 -0.000169067; -4.45623e-5 -0.000143093 -0.000248539 -0.000350617 -0.000435218 -0.000486389 -0.000488677 -0.000429985 -0.000304976 -0.000116186; -1.51313e-5 -5.1342e-5 -9.53359e-5 -0.000143666 -0.000188924 -0.000221633 -0.00023169 -0.000210353 -0.000152674 -5.90572e-5; 1.60329e-5 4.57514e-5 6.66151e-5 7.4805e-5 7.06927e-5 5.7031e-5 3.84305e-5 2.02428e-5 7.09849e-6 8.4573e-7; 4.8148e-5 0.000145761 0.000233296 0.000299422 0.000337302 0.000342859 0.000315187 0.000256282 0.000170527 6.20957e-5; 8.04763e-5 0.000246401 0.000400924 0.000525131 0.000604958 0.000629531 0.000592503 0.000492608 0.000334056 0.000123362; 0.000112341 0.000345571 0.000566027 0.000747303 0.00086823 0.000911288 0.000864856 0.000724551 0.000494469 0.000183445; 0.000143135 0.000441393 0.000725506 0.000961812 0.00112228 0.00118302 0.00112736 0.000947992 0.000648939 0.000241288; 0.000172334 0.000532243 0.000876675 0.00116508 0.00136294 0.00144032 0.00137583 0.0011594 0.000795045 0.00029599; 0.000199499 0.000616758 0.00101729 0.00135413 0.00158671 0.0016795 0.00160674 0.00135583 0.000930777 0.000346803; 0.000224279 0.000693854 0.00114556 0.00152657 0.00179081 0.00189764 0.00181731 0.00153494 0.00105453 0.00039313; 0.000246412 0.000762717 0.00126013 0.00168061 0.00197313 0.00209251 0.00200543 0.00169495 0.0011651 0.000434522; 0.000265719 0.000822793 0.0013601 0.00181503 0.00213225 0.00226261 0.00216966 0.00183467 0.00126165 0.000470669; 0.000282099 0.000873771 0.00144494 0.00192913 0.00226737 0.00240708 0.0023092 0.00195341 0.00134371 0.000501398; 0.000295524 0.000915559 0.00151451 0.00202274 0.00237825 0.00252569 0.00242379 0.00205096 0.00141116 0.000526656; 0.000306025 0.000948259 0.00156898 0.00209607 0.00246517 0.00261873 0.00251373 0.00212756 0.00146414 0.000546503; 0.000313688 0.000972136 0.00160879 0.00214972 0.00252882 0.00268693 0.00257973 0.00218381 0.00150307 0.000561094; 0.000318639 0.000987584 0.0016346 0.00218457 0.00257027 0.00273143 0.00262286 0.00222063 0.00152858 0.000570662; 0.000321039 0.000995105 0.00164723 0.00220175 0.00259083 0.00275363 0.00264449 0.00223917 0.00154147 0.000575508; 0.000321073 0.000995276 0.00164766 0.00220255 0.00259204 0.00275518 0.0026462 0.00224079 0.00154267 0.000575981; 0.000318947 0.00098873 0.00163694 0.00218839 0.00257556 0.00273786 0.00262974 0.00222697 0.00153322 0.000572469; 0.000314874 0.000976138 0.00161617 0.00216075 0.00254319 0.00270359 0.00259695 0.00219929 0.00151421 0.000565379; 0.000309079 0.000958194 0.00158652 0.0021212 0.00249675 0.00265434 0.00254972 0.00215936 0.00148674 0.000555131; 0.000301788 0.000935602 0.00154915 0.0020713 0.0024381 0.00259206 0.00248997 0.0021088 0.00145195 0.000542144; 0.000293226 0.000909058 0.00150522 0.0020126 0.00236906 0.00251872 0.00241957 0.0020492 0.00141093 0.000526826; 0.000283609 0.000879239 0.00145585 0.00194661 0.00229141 0.00243619 0.00234032 0.0019821 0.00136474 0.000509574; 0.000273147 0.000846792 0.00140211 0.00187475 0.00220683 0.00234628 0.00225395 0.00190896 0.00131436 0.00049076; 0.000262032 0.000812316 0.001345 0.00179837 0.0021169 0.00225065 0.00216207 0.00183112 0.00126076 0.000470736; 0.000250443 0.000776363 0.00128543 0.00171869 0.00202306 0.00215085 0.00206616 0.00174986 0.00120478 0.000449825; 0.000238539 0.000739433 0.00122424 0.00163682 0.00192664 0.00204828 0.00196758 0.00166632 0.00114723 0.000428324; 0.000226465 0.000701974 0.00116217 0.00155376 0.00182881 0.0019442 0.00186754 0.00158155 0.00108882 0.000406503; 0.000214351 0.000664388 0.00109989 0.00147042 0.00173063 0.00183976 0.00176714 0.00149646 0.0010302 0.0003846; 0.000202309 0.000627027 0.00103797 0.00138757 0.00163304 0.00173592 0.00166733 0.00141187 0.000971921 0.000362826; 0.00019044 0.0005902 0.000976944 0.0013059 0.00153684 0.00163357 0.00156894 0.00132849 0.000914472 0.000341362; 0.000178828 0.00055417 0.000917233 0.001226 0.00144271 0.00153343 0.00147267 0.0012469 0.000858264 0.000320362; 0.000167542 0.000519153 0.000859201 0.00114834 0.00135122 0.00143609 0.0013791 0.00116761 0.000803635 0.000299952; 0.000156639 0.000485324 0.000803137 0.00107331 0.00126284 0.00134206 0.00128871 0.001091 0.000750857 0.000280234; 0.000146163 0.000452817 0.000749265 0.00100122 0.00117791 0.0012517 0.00120185 0.00101739 0.000700142 0.000261286; 0.000136145 0.000421734 0.000697752 0.00093228 0.0010967 0.00116529 0.00111879 0.000947001 0.000651648 0.000243169; 0.000126609 0.000392147 0.000648718 0.000866661 0.00101939 0.00108305 0.00103973 0.000880001 0.00060549 0.000225925; 0.00011757 0.000364101 0.00060224 0.000804463 0.000946125 0.00100509 0.000964794 0.000816498 0.000561741 0.000209581; 0.000109035 0.000337622 0.000558359 0.000745743 0.000876953 0.000931501 0.000894052 0.000756549 0.000520441 0.000194151; 0.000101007 0.000312715 0.000517085 0.000690513 0.000811893 0.000862285 0.000827519 0.000700166 0.000481599 0.000179641; 9.34813e-5 0.000289367 0.000478397 0.000638744 0.000750912 0.000797409 0.000765159 0.000647323 0.000445196 0.000166042; 8.64488e-5 0.00026755 0.000442246 0.000590372 0.000693935 0.000736796 0.000706899 0.000597954 0.000411188 0.000153338; 7.98962e-5 0.000247223 0.000408565 0.000545307 0.000640855 0.000680331 0.000652628 0.000551969 0.000379511 0.000141506; 7.38072e-5 0.000228334 0.000377269 0.000503436 0.000591539 0.000627872 0.000602211 0.000509251 0.000350087 0.000130515; 6.81633e-5 0.000210827 0.000348264 0.000464631 0.000545838 0.000579261 0.000555494 0.00046967 0.000322826 0.000120333; 6.29449e-5 0.000194641 0.000321448 0.000428757 0.000503591 0.000534327 0.000512313 0.000433087 0.00029763 0.000110922; 5.81314e-5 0.000179711 0.000296715 0.000395672 0.00046463 0.00049289 0.000472495 0.000399354 0.000274399 0.000102246; 5.37014e-5 0.000165972 0.000273957 0.000365229 0.000428782 0.000454766 0.000435861 0.000368321 0.000253027 9.42641e-5; 4.9633e-5 0.000153355 0.000253058 0.000337277 0.000395869 0.000419764 0.000402229 0.000339832 0.000233408 8.69377e-5; 4.59036e-5 0.00014179 0.000233904 0.00031166 0.000365708 0.000387691 0.000371413 0.000313729 0.000215434 8.02256e-5; 4.24908e-5 0.000131208 0.000216379 0.000288223 0.000338116 0.000358352 0.000343226 0.000289855 0.000198996 7.40874e-5; 3.93723e-5 0.000121539 0.000200368 0.000266814 0.000312913 0.000331556 0.000317485 0.000268054 0.000183986 6.8483e-5; 3.65267e-5 0.000112717 0.000185761 0.000247284 0.000289926 0.000307119 0.000294011 0.000248176 0.000170301 6.33738e-5; 3.39337e-5 0.000104679 0.000172454 0.000229494 0.000268989 0.000284863 0.000272636 0.000230076 0.000157841 5.87226e-5; 3.15739e-5 9.73647e-5 0.000160347 0.000213311 0.000249945 0.000264621 0.000253197 0.000213618 0.000146513 5.4494e-5; 2.9429e-5 9.07174e-5 0.000149345 0.000198606 0.000232643 0.000246234 0.000235541 0.00019867 0.000136226 5.06543e-5; 2.74814e-5 8.46823e-5 0.000139357 0.00018526 0.000216941 0.000229548 0.00021952 0.000185109 0.000126894 4.71715e-5; 2.57142e-5 7.92069e-5 0.000130298 0.000173154 0.000202701 0.000214418 0.000204995 0.000172815 0.000118434 4.40146e-5; 2.41112e-5 7.42412e-5 0.000122083 0.00016218 0.000189792 0.000200704 0.000191831 0.000161674 0.00011077 4.11546e-5; 2.26574e-5 6.97382e-5 0.000114634 0.000152231 0.000178092 0.000188276 0.000179902 0.000151581 0.000103826 3.85641e-5; 2.13385e-5 6.5654e-5 0.00010788 0.000143211 0.000167487 0.000177013 0.000169094 0.000142436 9.75359e-5 3.62177e-5; 2.01417e-5 6.19486e-5 0.000101754 0.000135031 0.000157872 0.000166803 0.000159297 0.000134149 9.18368e-5 3.4092e-5; 1.90552e-5 5.85855e-5 9.61947e-5 0.000127611 0.000149151 0.000157545 0.000150416 0.000126637 8.66717e-5 3.21658e-5; 1.80684e-5 5.55314e-5 9.11478e-5 0.000120876 0.000141237 0.000149146 0.00014236 0.000119825 8.19884e-5 3.04196e-5; 1.71713e-5 5.27561e-5 8.65627e-5 0.000114759 0.000134052 0.00014152 0.000135048 0.000113642 7.7739e-5 2.88354e-5; 1.63552e-5 5.02315e-5 8.2393e-5 0.000109198 0.00012752 0.00013459 0.000128404 0.000108026 7.38793e-5 2.73968e-5; 1.56117e-5 4.79323e-5 7.85964e-5 0.000104135 0.000121575 0.000128284 0.000122359 0.000102917 7.03692e-5 2.60887e-5; 1.49335e-5 4.58356e-5 7.51351e-5 9.95203e-5 0.000116157 0.000122539 0.000116853 9.82644e-5 6.71727e-5 2.48977e-5; 1.43143e-5 4.39216e-5 7.1976e-5 9.53095e-5 0.000111215 0.000117298 0.000111831 9.40214e-5 6.42584e-5 2.3812e-5; 1.37485e-5 4.21731e-5 6.9091e-5 9.14648e-5 0.000106703 0.000112514 0.000107248 9.01501e-5 6.15999e-5 2.28219e-5; 1.32316e-5 4.05763e-5 6.6457e-5 8.79554e-5 0.000102585 0.00010815 0.000103067 8.66189e-5 5.91753e-5 2.1919e-5; 1.27601e-5 3.91201e-5 6.40555e-5 8.47569e-5 9.88333e-5 0.000104173 9.92583e-5 8.34025e-5 5.69672e-5 2.10969e-5; 1.2331e-5 3.77957e-5 6.18724e-5 8.18501e-5 9.54242e-5 0.000100561 9.57987e-5 8.04813e-5 5.49621e-5 2.03505e-5]
  :anelastic => [1.10398e-5 3.36145e-5 5.47249e-5 7.19436e-5 8.3258e-5 8.70597e-5 8.23305e-5 6.87434e-5 4.67524e-5 1.72862e-5; 1.0757e-5 3.27492e-5 5.331e-5 7.00758e-5 8.10876e-5 8.47808e-5 8.01665e-5 6.69291e-5 4.55132e-5 1.68259e-5; 1.04995e-5 3.19617e-5 5.20228e-5 6.8377e-5 7.91141e-5 8.27092e-5 7.81999e-5 6.52807e-5 4.43877e-5 1.6408e-5; 1.02673e-5 3.12521e-5 5.08634e-5 6.68474e-5 7.73375e-5 8.08447e-5 7.64303e-5 6.37978e-5 4.33756e-5 1.60323e-5; 1.00611e-5 3.06223e-5 4.98347e-5 6.54906e-5 7.57621e-5 7.91916e-5 7.48616e-5 6.24836e-5 4.24789e-5 1.56996e-5; 9.882e-6 3.00754e-5 4.89421e-5 6.43137e-5 7.43956e-5 7.7758e-5 7.35013e-5 6.13443e-5 4.17018e-5 1.54116e-5; 9.73136e-6 2.96161e-5 4.81928e-5 6.33261e-5 7.32491e-5 7.6555e-5 7.23598e-5 6.03884e-5 4.10502e-5 1.51702e-5; 9.61097e-6 2.92497e-5 4.75956e-5 6.25391e-5 7.23352e-5 7.55958e-5 7.14495e-5 5.96261e-5 4.05308e-5 1.49781e-5; 9.52273e-6 2.89819e-5 4.71597e-5 6.19648e-5 7.1668e-5 7.48947e-5 7.07835e-5 5.90682e-5 4.01511e-5 1.4838e-5; 9.46855e-6 2.88186e-5 4.68948e-5 6.16156e-5 7.12612e-5 7.4466e-5 7.0375e-5 5.87256e-5 3.99182e-5 1.47526e-5; 9.45023e-6 2.87652e-5 4.68094e-5 6.15027e-5 7.11278e-5 7.43224e-5 7.02359e-5 5.86079e-5 3.98386e-5 1.47241e-5; 9.46928e-6 2.88264e-5 4.69112e-5 6.16356e-5 7.1278e-5 7.44745e-5 7.03755e-5 5.87226e-5 3.99174e-5 1.47546e-5; 9.52682e-6 2.90056e-5 4.72052e-5 6.20209e-5 7.17191e-5 7.49293e-5 7.07999e-5 5.90743e-5 4.01574e-5 1.48449e-5; 9.62344e-6 2.93044e-5 4.76943e-5 6.26617e-5 7.24541e-5 7.56891e-5 7.15109e-5 5.96643e-5 4.05592e-5 1.49953e-5; 9.7591e-6 2.97227e-5 4.83777e-5 6.35568e-5 7.34811e-5 7.67514e-5 7.25054e-5 6.04893e-5 4.11206e-5 1.5205e-5; 9.93307e-6 3.02582e-5 4.92517e-5 6.47006e-5 7.47929e-5 7.81081e-5 7.37752e-5 6.15423e-5 4.18363e-5 1.54718e-5; 1.0144e-5 3.09066e-5 5.03088e-5 6.60831e-5 7.63777e-5 7.97461e-5 7.53073e-5 6.2812e-5 4.26986e-5 1.57929e-5; 1.03898e-5 3.16615e-5 5.15387e-5 6.76905e-5 7.82188e-5 8.16479e-5 7.70849e-5 6.42839e-5 4.36975e-5 1.61646e-5; 1.06679e-5 3.25152e-5 5.29286e-5 6.95057e-5 8.02968e-5 8.37927e-5 7.90884e-5 6.59417e-5 4.48216e-5 1.65826e-5; 1.09756e-5 3.34591e-5 5.44644e-5 7.15105e-5 8.25904e-5 8.61589e-5 8.12974e-5 6.77686e-5 4.60598e-5 1.70428e-5; 1.13098e-5 3.44842e-5 5.6132e-5 7.36867e-5 8.50795e-5 8.87262e-5 8.36936e-5 6.97498e-5 4.74022e-5 1.75414e-5; 1.16682e-5 3.55829e-5 5.79192e-5 7.60192e-5 8.77479e-5 9.1479e-5 8.62635e-5 7.18751e-5 4.88422e-5 1.80764e-5; 1.20487e-5 3.67496e-5 5.98176e-5 7.84983e-5 9.05863e-5 9.44098e-5 8.9002e-5 7.41415e-5 5.03787e-5 1.86472e-5; 1.24506e-5 3.79823e-5 6.1825e-5 8.11229e-5 9.35957e-5 9.75226e-5 9.19156e-5 7.65564e-5 5.20176e-5 1.92563e-5; 1.28747e-5 3.92839e-5 6.39472e-5 8.39028e-5 9.6791e-5 0.000100836 9.50254e-5 7.91398e-5 5.37739e-5 1.99096e-5; 1.33239e-5 4.06635e-5 6.62006e-5 8.68622e-5 0.000100203 0.000104388 9.83697e-5 8.19267e-5 5.56727e-5 2.06167e-5; 1.38034e-5 4.21375e-5 6.86133e-5 9.00409e-5 0.000103883 0.000108233 0.000102006 8.49679e-5 5.77501e-5 2.13914e-5; 1.43209e-5 4.37303e-5 7.12267e-5 9.34958e-5 0.000107899 0.000112449 0.000106011 8.83298e-5 6.00532e-5 2.22513e-5; 1.4887e-5 4.54744e-5 7.4095e-5 9.73005e-5 0.000112339 0.000117131 0.000110477 9.20931e-5 6.26379e-5 2.32177e-5; 1.55147e-5 4.74101e-5 7.72849e-5 0.000101544 0.000117309 0.000122392 0.000115513 9.63493e-5 6.55676e-5 2.43142e-5; 1.62193e-5 4.95847e-5 8.08736e-5 0.000106328 0.000122927 0.000128354 0.000121236 0.000101197 6.89096e-5 2.5566e-5; 1.70179e-5 5.20498e-5 8.49449e-5 0.000111762 0.000129317 0.000135147 0.000127765 0.000106734 7.27305e-5 2.69977e-5; 1.7928e-5 5.4859e-5 8.95846e-5 0.000117956 0.000136602 0.000142894 0.000135214 0.000113053 7.70918e-5 2.8632e-5; 1.89669e-5 5.80643e-5 9.48756e-5 0.000125014 0.000144898 0.00015171 0.000143686 0.000120236 8.20462e-5 3.04879e-5; 2.01503e-5 6.17132e-5 0.000100893 0.00013303 0.000154307 0.000161692 0.000153265 0.000128347 8.76358e-5 3.25805e-5; 2.1491e-5 6.58444e-5 0.000107696 0.000142078 0.000164906 0.000172916 0.000164015 0.000137434 9.38894e-5 3.49199e-5; 2.2998e-5 7.04838e-5 0.000115325 0.000152206 0.000176747 0.000185428 0.000175973 0.000147523 0.000100823 3.75113e-5; 2.46752e-5 7.56436e-5 0.000123799 0.000163438 0.000189853 0.000199252 0.00018916 0.000158629 0.000108443 4.03568e-5; 2.65234e-5 8.1326e-5 0.000133122 0.00017578 0.000204238 0.000214404 0.000203594 0.000170767 0.00011676 4.34604e-5; 2.85408e-5 8.75262e-5 0.00014329 0.000189232 0.00021991 0.000230903 0.000219301 0.000183965 0.000125797 4.68302e-5; 3.07245e-5 9.42373e-5 0.000154295 0.000203796 0.000236882 0.00024878 0.000236323 0.000198266 0.000135586 5.04797e-5; 3.30741e-5 0.000101459 0.000166143 0.000219489 0.000255193 0.000268092 0.00025473 0.000213741 0.00014618 5.44295e-5; 3.55977e-5 0.000109218 0.000178882 0.000236385 0.000274944 0.000288962 0.000274656 0.000230512 0.000157669 5.87137e-5; 3.83179e-5 0.000117585 0.000192634 0.000254653 0.000296339 0.000311613 0.000296323 0.000248775 0.000170192 6.33855e-5; 4.12722e-5 0.000126677 0.000207592 0.000274549 0.00031967 0.000336347 0.000320012 0.00026877 0.00018392 6.85107e-5; 4.45076e-5 0.00013664 0.000223994 0.000296375 0.000345269 0.000363484 0.00034601 0.000290733 0.000199017 7.41525e-5; 4.80775e-5 0.000147635 0.0002421 0.000320461 0.000373489 0.000393358 0.000374604 0.000314887 0.000215634 8.03668e-5; 5.20414e-5 0.000159842 0.000262194 0.000347167 0.000404726 0.000426362 0.000406143 0.000341511 0.000233948 8.72164e-5; 5.64582e-5 0.000173438 0.00028456 0.000376865 0.000439417 0.000462956 0.000441066 0.000370964 0.000254192 9.47826e-5; 6.13627e-5 0.000188528 0.000309369 0.000409797 0.00047787 0.0005035 0.000479745 0.000403568 0.000276578 0.000103142; 6.67396e-5 0.000205067 0.000336559 0.0004459 0.00052005 0.000548003 0.000522226 0.00043938 0.000301154 0.000112313; 7.25269e-5 0.000222871 0.000365839 0.000484802 0.000565545 0.00059606 0.000568147 0.000478113 0.000327738 0.000122233; 7.86631e-5 0.000241755 0.000396911 0.000526108 0.000613888 0.000647174 0.00061703 0.000519365 0.000356069 0.000132812; 8.51484e-5 0.000261719 0.000429773 0.000569802 0.000665032 0.000701273 0.000668774 0.000563042 0.000386085 0.000144026; 9.2066e-5 0.000283015 0.000464832 0.000616404 0.00071956 0.000758937 0.000723907 0.000609571 0.000418068 0.000155977; 9.95368e-5 0.000306012 0.000502684 0.000666699 0.000778378 0.000821111 0.000783316 0.000659692 0.000452515 0.000168847; 0.000107643 0.000330961 0.000543741 0.000721238 0.000842143 0.00088849 0.000847678 0.000713979 0.000489815 0.000182779; 0.000116386 0.000357868 0.00058802 0.000780055 0.000910914 0.000961152 0.00091709 0.000772523 0.000530035 0.0001978; 0.000125709 0.000386567 0.00063525 0.000842798 0.000984295 0.00103869 0.000991183 0.000835018 0.000572973 0.000213837; 0.000135561 0.000416892 0.000685164 0.000909112 0.00106187 0.00112067 0.00106954 0.000901118 0.000618394 0.000230803; 0.000145926 0.000448798 0.000737679 0.000978886 0.0011435 0.00120694 0.001152 0.00097068 0.000666193 0.00024866; 0.000156813 0.00048231 0.000792835 0.00105216 0.00122922 0.00129752 0.00123857 0.0010437 0.000716368 0.000267402; 0.000168214 0.000517404 0.000850587 0.00112888 0.00131894 0.00139231 0.00132915 0.0011201 0.000768857 0.000287007; 0.00018008 0.000553925 0.000910687 0.00120871 0.00141228 0.00149093 0.00142336 0.00119956 0.000823446 0.000307396; 0.000192331 0.000591634 0.000972742 0.00129114 0.00150865 0.00159276 0.00152063 0.0012816 0.000879811 0.000328451; 0.000204892 0.0006303 0.00103637 0.00137567 0.00160749 0.0016972 0.00162041 0.00136576 0.000937636 0.000350053; 0.00021771 0.000669756 0.0011013 0.00146193 0.00170837 0.0018038 0.00172226 0.00145167 0.00099666 0.000372103; 0.000230737 0.000709853 0.00116728 0.00154958 0.00181086 0.00191211 0.00182575 0.00153895 0.00105662 0.000394497; 0.0002439 0.000750361 0.00123392 0.00163809 0.00191435 0.00202143 0.0019302 0.00162703 0.0011171 0.000417085; 0.000257073 0.000790893 0.00130058 0.00172662 0.00201782 0.00213069 0.00203453 0.001715 0.0011775 0.000439636; 0.000270073 0.000830893 0.00136635 0.00181394 0.00211985 0.00223837 0.00213733 0.00180165 0.00123699 0.000461846; 0.000282685 0.000869697 0.00143016 0.00189863 0.00221877 0.00234272 0.00223691 0.00188558 0.00129461 0.000483361; 0.00029468 0.000906605 0.00149084 0.00197916 0.00231281 0.00244192 0.00233156 0.00196534 0.00134937 0.00050381; 0.000305835 0.000940928 0.00154727 0.00205404 0.00240024 0.00253415 0.00241955 0.00203947 0.00140026 0.000522817; 0.000315938 0.000972005 0.00159835 0.0021218 0.00247936 0.00261761 0.00249916 0.00210653 0.00144629 0.000540002; 0.000324777 0.000999183 0.001643 0.002181 0.00254846 0.00269048 0.00256865 0.00216503 0.00148642 0.000554977; 0.000332135 0.00102179 0.0016801 0.00223016 0.00260578 0.00275087 0.00262618 0.00221341 0.00151956 0.000567338; 0.000337785 0.00103914 0.00170851 0.00226771 0.00264947 0.0027968 0.00266984 0.00225005 0.00154462 0.000576667; 0.000341486 0.00105046 0.001727 0.00229202 0.00267761 0.00282623 0.00269766 0.00227327 0.00156042 0.000582536; 0.000342988 0.00105501 0.00173429 0.00230141 0.00268823 0.00283705 0.00270762 0.00228138 0.00156582 0.000584512; 0.000342039 0.001052 0.00172912 0.0022942 0.00267935 0.00282719 0.00269776 0.00227272 0.00155968 0.00058217; 0.000338396 0.00104069 0.00171027 0.00226876 0.0026491 0.00279468 0.00266619 0.0022457 0.00154091 0.000575106; 0.000331838 0.00102039 0.00167661 0.00222361 0.00259573 0.00273768 0.00261117 0.00219887 0.00150851 0.000562947; 0.000322178 0.000990537 0.00162719 0.00215749 0.00251779 0.00265466 0.00253124 0.002131 0.00146164 0.000545375; 0.000309273 0.000950682 0.0015613 0.00206944 0.00241416 0.00254444 0.00242527 0.00204113 0.00139963 0.000522143; 0.000293043 0.000900575 0.00147852 0.00195891 0.00228417 0.00240631 0.00229257 0.00192866 0.00132209 0.0004931; 0.000273474 0.000840175 0.00137876 0.00182578 0.00212769 0.00224011 0.00213298 0.00179347 0.00122889 0.000458204; 0.000250633 0.000769691 0.00126238 0.00167049 0.00194521 0.00204634 0.00194696 0.00163592 0.00112031 0.000417549; 0.000224679 0.0006896 0.00113014 0.00149406 0.00173791 0.00182623 0.00173568 0.00145697 0.000996984 0.000371378; 0.000195862 0.000600678 0.000983315 0.00129817 0.00150772 0.0015818 0.00150103 0.00125824 0.000860014 0.000320098; 0.000164538 0.000504013 0.000823691 0.00108517 0.00125738 0.00131593 0.00124574 0.00104198 0.000710953 0.000264287; 0.000131164 0.000401014 0.000653576 0.000858107 0.000990432 0.00103232 0.000973355 0.000811178 0.000551834 0.000204704; 9.63034e-5 0.000293413 0.00047581 0.000620744 0.000711253 0.000735589 0.000688229 0.000569494 0.000385166 0.000142286; 6.06211e-5 0.000183251 0.000293743 0.000377511 0.000424999 0.000431145 0.000395524 0.00032126 0.000213917 7.81383e-5; 2.48744e-5 7.28577e-5 0.000111198 0.000133468 0.000137558 0.000125181 0.000101121 7.14168e-5 4.14701e-5 1.35242e-5; -1.00975e-5 -3.51861e-5 -6.75914e-5 -0.000105787 -0.000144557 -0.000175459 -0.00018847 -0.000174569 -0.00012843 -5.016e-5; -4.33913e-5 -0.000138104 -0.000238072 -0.000334232 -0.000414343 -0.000463419 -0.000466261 -0.000410832 -0.000291768 -0.000111416; -7.40624e-5 -0.000232993 -0.000395485 -0.000545578 -0.00066449 -0.000731026 -0.00072497 -0.00063126 -0.000444362 -0.000168685; -0.000101153 -0.00031691 -0.000535009 -0.000733459 -0.000887609 -0.000970532 -0.000957243 -0.000829692 -0.000581996 -0.000220395; -0.000123725 -0.000386975 -0.000651929 -0.000891657 -0.00107649 -0.00117439 -0.00115593 -0.00100014 -0.00070058 -0.000265023; -0.000140901 -0.000440491 -0.000741833 -0.00101436 -0.00122441 -0.00133556 -0.00131439 -0.00113705 -0.000796322 -0.000301156; -0.0001519 -0.000475069 -0.000800822 -0.00109645 -0.00132544 -0.00144789 -0.00142681 -0.00123557 -0.000865919 -0.000327565; -0.000156089 -0.000488768 -0.000825733 -0.00113377 -0.00137484 -0.00150644 -0.00148854 -0.00129186 -0.000906756 -0.00034328; -0.000153024 -0.00048023 -0.000814367 -0.00112348 -0.00136935 -0.00150787 -0.00149649 -0.00130335 -0.000917105 -0.00034766; -0.000142494 -0.000448816 -0.000765706 -0.00106429 -0.00130753 -0.00145076 -0.0014494 -0.00126905 -0.000896307 -0.000340466; -0.000124559 -0.000394724 -0.000680106 -0.000956715 -0.0011901 -0.00133594 -0.00134812 -0.00118973 -0.000844934 -0.000321917; -9.95827e-5 -0.000319082 -0.000559454 -0.000803322 -0.00102011 -0.00116671 -0.00119589 -0.00106817 -0.000764908 -0.000292737; -6.82547e-5 -0.00022402 -0.000407269 -0.000608818 -0.000803098 -0.000948985 -0.000998383 -0.000909199 -0.000659564 -0.000254176; -3.15959e-5 -0.000112682 -0.000228737 -0.0003801 -0.000547155 -0.000691307 -0.000763782 -0.00071971 -0.000533647 -0.000208006; 9.04963e-6 1.07942e-5 -3.06509e-5 -0.000126169 -0.000262766 -0.00040472 -0.000502598 -0.000508549 -0.000393221 -0.000156492; 5.20433e-5 0.000141374 0.000178735 0.000142076 3.74201e-5 -0.000102478 -0.000227395 -0.000286243 -0.000245482 -0.000102317; 9.55016e-5 0.000273276 0.000389973 0.000412206 0.000339038 0.000200434 4.76838e-5 -6.45931e-5 -9.84782e-5 -4.84746e-5; 0.000137368 0.000400197 0.000592788 0.000670757 0.000626605 0.00048795 0.000307558 0.000143871 3.92781e-5 1.87151e-6; 0.000175505 0.0005156 0.00077656 0.000903881 0.000884291 0.000743754 0.000537013 0.000326584 0.000159287 4.55715e-5; 0.000207809 0.000613058 0.000930896 0.00109811 0.00109683 0.000952252 0.000721636 0.000471742 0.000253612 7.96942e-5; 0.000232334 0.000686654 0.00104628 0.00124124 0.00125053 0.00109964 0.00084885 0.000569171 0.000315482 0.000101752; 0.000247432 0.000731392 0.00111477 0.0013232 0.00133433 0.00117503 0.000908967 0.000611216 0.000339895 0.000109927; 0.000251888 0.000743627 0.00113066 0.001337 0.00134085 0.00117151 0.000896191 0.000593574 0.000324187 0.00010328; 0.000245051 0.000721455 0.00109115 0.00127953 0.00126729 0.00108707 0.000809485 0.000515994 0.000268498 8.19252e-5; 0.000226943 0.000665042 0.000996841 0.00115218 0.00111615 0.000925316 0.000653173 0.000382756 0.000176084 4.71419e-5; 0.000198333 0.00057685 0.000852081 0.000961306 0.000895648 0.000695831 0.000437219 0.000202846 5.34094e-5 1.40246e-6; 0.000160772 0.000461726 0.000665082 0.000718268 0.000619708 0.000414046 0.000177031 -1.02642e-5 -9.0036e-5 -5.1701e-5; 0.000116565 0.000326808 0.000447727 0.000439119 0.000307494 0.000100656 -0.000107212 -0.000239268 -0.000242223 -0.000107647; 6.86802e-5 0.000181231 0.000215044 0.000143829 -1.76086e-5 -0.000219581 -0.000391809 -0.000464152 -0.000389395 -0.000161295; 2.05901e-5 3.56237e-5 -1.56728e-5 -0.000144951 -0.000329531 -0.000519573 -0.000651291 -0.000663745 -0.000517175 -0.000207308; -2.3964e-5 -9.86262e-5 -0.000226082 -0.000403563 -0.000601553 -0.000772129 -0.000860636 -0.000817652 -0.00061192 -0.000240663; -6.12692e-5 -0.00021029 -0.000398331 -0.000609402 -0.00080874 -0.000952555 -0.000997768 -0.000908375 -0.000662195 -0.00025721; -8.79872e-5 -0.000289356 -0.000516779 -0.00074318 -0.000930543 -0.00104137 -0.00104615 -0.000923501 -0.000660266 -0.000254221; -0.000101526 -0.000328169 -0.00056982 -0.000791254 -0.000953421 -0.00102696 -0.000997146 -0.000857581 -0.000603349 -0.000230855; -0.000100397 -0.000322495 -0.000551559 -0.000747706 -0.000873041 -0.000907615 -0.000851835 -0.000713546 -0.00049452 -0.000188482; -8.45236e-5 -0.000272437 -0.000463194 -0.00061595 -0.000695865 -0.000692943 -0.000621989 -0.000503291 -0.000342997 -0.000130765; -5.54364e-5 -0.000182989 -0.000313775 -0.000409486 -0.000439672 -0.000403979 -0.000329856 -0.000247239 -0.000163712 -6.34779e-5; -1.63182e-5 -6.41242e-5 -0.000120213 -0.000151609 -0.000132819 -7.19752e-5 -6.58292e-6 2.72935e-5 2.39676e-5 6.00873e-6; 2.81705e-5 6.97875e-5 9.38445e-5 0.00012632 0.0001881 0.00026442 0.000310798 0.000288884 0.000198292 6.95215e-5; 7.22926e-5 0.00020124 0.000300148 0.000387861 0.000481949 0.000563308 0.000583576 0.000505747 0.000337815 0.000119112; 0.000109888 0.000311622 0.000469232 0.000595971 0.000708223 0.000784919 0.000776471 0.000650084 0.000424408 0.000148196; 0.000135222 0.000383773 0.000574465 0.000718202 0.00083286 0.000897487 0.000863017 0.000702463 0.000446212 0.000152637; 0.000143984 0.000405023 0.000596914 0.00073271 0.000834551 0.000883043 0.000830347 0.000655417 0.000399966 0.000131611; 0.000134207 0.000369922 0.000529422 0.000633019 0.000709488 0.000741588 0.000682416 0.000515622 0.00029223 8.79946e-5; 0.000106975 0.000282289 0.000379697 0.000431526 0.000474509 0.000493359 0.00044128 0.00030433 0.000139307 2.82792e-5; 6.67062e-5 0.000156032 0.000171367 0.00016023 0.000167051 0.000177738 0.000145103 5.50309e-5 -3.46945e-5 -3.82682e-5; 2.07647e-5 1.38262e-5 -5.84564e-5 -0.000132593 -0.000158806 -0.000151085 -0.00015636 -0.000190843 -0.00020111 -0.000100829; -2.15533e-5 -0.000116104 -0.000264595 -0.000389802 -0.000440913 -0.000432831 -0.000409799 -0.0003905 -0.000331144 -0.000148714; -5.10202e-5 -0.00020583 -0.000402887 -0.000556473 -0.000620643 -0.000611791 -0.000567248 -0.000506881 -0.000400961 -0.000173364; -6.07026e-5 -0.000234863 -0.000441839 -0.000594417 -0.000658033 -0.000650587 -0.000597396 -0.000517187 -0.000397058 -0.000170215; -4.80595e-5 -0.000195896 -0.000370752 -0.00049147 -0.00054089 -0.000538074 -0.000491915 -0.000417538 -0.000319412 -0.000140082; -1.61486e-5 -9.87855e-5 -0.00020668 -0.000270274 -0.000293737 -0.000297452 -0.000272035 -0.000227324 -0.000183314 -8.9169e-5; 2.64974e-5 2.99992e-5 6.98414e-6 1.29199e-5 2.20207e-5 1.28039e-5 1.08798e-5 1.12619e-5 -1.78962e-5 -2.85176e-5; 6.74117e-5 0.000152666 0.000209387 0.00028012 0.000320962 0.000310531 0.000284775 0.000240838 0.000138881 2.79857e-5; 9.27713e-5 0.000227548 0.000333923 0.000445389 0.000507211 0.000500229 0.000462879 0.00039137 0.000241809 6.44692e-5; 9.38954e-5 0.000229294 0.000341648 0.000458958 0.000523496 0.000521916 0.000487289 0.000413724 0.000257899 6.86893e-5; 7.17589e-5 0.000160317 0.000235408 0.000322871 0.000369594 0.000371106 0.000349606 0.000299443 0.000181957 3.92701e-5; 3.7799e-5 5.53037e-5 6.99791e-5 0.000105404 0.00011902 0.000117644 0.000111418 9.91419e-5 4.90452e-5 -1.05818e-5; 8.69629e-6 -3.50519e-5 -7.28495e-5 -8.61774e-5 -0.000105042 -0.000112111 -0.000107727 -8.62948e-5 -7.29149e-5 -5.58737e-5; -5.6327e-6 -7.99629e-5 -0.000142591 -0.000184737 -0.000223356 -0.000234702 -0.000226769 -0.000187602 -0.000136014 -7.8977e-5; -4.34557e-6 -7.63659e-5 -0.000132049 -0.00017579 -0.000214168 -0.000224701 -0.000219885 -0.000184681 -0.000129945 -7.68878e-5; 7.53876e-6 -3.93113e-5 -6.58291e-5 -9.04724e-5 -0.000113325 -0.000119972 -0.000121939 -0.000106472 -7.50756e-5 -5.71889e-5; 2.31342e-5 8.59975e-6 1.59667e-5 1.48103e-5 1.10898e-5 8.44912e-6 4.93259e-7 -6.43312e-6 -5.14679e-6 -3.15979e-5; 3.67239e-5 4.99687e-5 8.5239e-5 0.00010341 0.000115662 0.000115705 0.0001039 7.88571e-5 5.43664e-5 -9.61368e-6; 4.3648e-5 7.05782e-5 0.000119159 0.000145893 0.000165653 0.000166558 0.000153653 0.000120324 8.35782e-5 1.37811e-6; 4.16685e-5 6.40143e-5 0.00010811 0.000130775 0.000147911 0.000148092 0.000136399 0.00010628 7.42098e-5 -1.90746e-6; 3.21494e-5 3.49442e-5 6.01983e-5 6.94085e-5 7.60243e-5 7.45051e-5 6.53563e-5 4.71611e-5 3.2933e-5 -1.71733e-5; 1.94392e-5 -3.53222e-6 -4.09591e-6 -1.22858e-5 -2.01344e-5 -2.38137e-5 -2.95478e-5 -3.13685e-5 -2.22723e-5 -3.75935e-5; 8.71767e-6 -3.59727e-5 -6.01613e-5 -8.27403e-5 -0.000103732 -0.000109519 -0.000111646 -9.79801e-5 -6.96137e-5 -5.49729e-5; 3.99034e-6 -5.02819e-5 -8.807e-5 -0.000115838 -0.000143443 -0.000150455 -0.000149576 -0.000126458 -9.13656e-5 -6.2797e-5; 7.62007e-6 -3.89538e-5 -7.46944e-5 -9.39943e-5 -0.000117857 -0.000124642 -0.000122918 -0.00010072 -7.72093e-5 -5.7371e-5; 2.01687e-5 -7.26454e-8 -1.6484e-5 -1.31621e-5 -2.26399e-5 -2.80774e-5 -2.927e-5 -1.97601e-5 -2.64364e-5 -3.84236e-5; 3.95714e-5 6.01115e-5 7.63182e-5 0.000111794 0.000123491 0.00011935 0.00011119 9.92574e-5 5.00566e-5 -9.84741e-6; 6.03378e-5 0.000124949 0.000176831 0.000244774 0.000277834 0.00027374 0.000256158 0.000220921 0.000129081 1.99685e-5; 7.43527e-5 0.00016962 0.000244951 0.000333207 0.000380088 0.000374361 0.000348942 0.000298106 0.000179301 3.96308e-5; 7.43373e-5 0.000171779 0.000244566 0.000330499 0.000378157 0.000370091 0.000343268 0.000292488 0.000174588 3.9445e-5; 5.77887e-5 0.000123514 0.000162455 0.000219967 0.000254648 0.000245676 0.000227114 0.000194115 0.000107239 1.62206e-5; 2.85441e-5 3.61908e-5 1.67392e-5 2.56872e-5 3.75433e-5 3.04679e-5 2.86973e-5 2.60522e-5 -8.60651e-6 -2.53538e-5; -4.64755e-6 -6.38741e-5 -0.00015068 -0.000198283 -0.000212637 -0.000215097 -0.000196472 -0.000166317 -0.000143328 -7.47316e-5; -3.1513e-5 -0.000145463 -0.000289561 -0.00038719 -0.000424321 -0.000421094 -0.000385545 -0.000331591 -0.000262495 -0.000119305; -4.38079e-5 -0.000183247 -0.00035851 -0.000487325 -0.000538476 -0.000530605 -0.000487837 -0.000427786 -0.000336995 -0.000148071; -3.76293e-5 -0.000164819 -0.000336418 -0.000470561 -0.000523964 -0.000513721 -0.000476444 -0.000431505 -0.000349372 -0.000154069; -1.40554e-5 -9.29242e-5 -0.000226439 -0.000339428 -0.00038269 -0.000371955 -0.000351616 -0.000340671 -0.000296145 -0.000135426; 2.16487e-5 1.68643e-5 -5.2508e-5 -0.000122972 -0.000145182 -0.000133973 -0.000137253 -0.00017234 -0.000186977 -9.52293e-5; 6.17363e-5 0.000141223 0.000148579 0.000133023 0.00013961 0.000153654 0.000126578 4.26829e-5 -4.15231e-5 -4.04885e-5; 9.79606e-5 0.000255045 0.000336556 0.000377575 0.000416302 0.000437315 0.000392537 0.000266519 0.00011489 1.94446e-5; 0.000123341 0.000336865 0.000476382 0.000565364 0.000634503 0.000666909 0.00061491 0.000461194 0.000255971 7.46493e-5; 0.000133371 0.00037257 0.000544287 0.000664484 0.000757281 0.000804069 0.000756974 0.000594757 0.000358783 0.000116295; 0.000126541 0.000357065 0.000530632 0.000660356 0.00076583 0.000827172 0.000795968 0.000645756 0.00040705 0.000137938; 0.000104237 0.000294064 0.000439851 0.000556133 0.000660538 0.00073313 0.000725418 0.000605682 0.000393121 0.000136327; 7.01648e-5 0.000194407 0.000287999 0.000370067 0.000458808 0.000536076 0.000554782 0.00047931 0.0003185 0.000111651; 2.95027e-5 7.35449e-5 9.89149e-5 0.000130989 0.000190625 0.000263657 0.000306758 0.000282985 0.000192947 6.72578e-5; -1.20095e-5 -5.11981e-5 -0.000100044 -0.000126887 -0.000106863 -4.79708e-5 1.31086e-5 4.15031e-5 3.25031e-5 8.95044e-6; -4.89067e-5 -0.000163169 -0.000282084 -0.000369143 -0.000395009 -0.000359683 -0.000290246 -0.000215817 -0.000143132 -5.59875e-5; -7.66547e-5 -0.000248405 -0.00042429 -0.000565509 -0.00063867 -0.000634567 -0.000568124 -0.00045925 -0.000313442 -0.000119857; -9.20766e-5 -0.000296974 -0.000509889 -0.000692995 -0.000810018 -0.000842122 -0.000790271 -0.000662355 -0.000459721 -0.000175546; -9.35498e-5 -0.000303615 -0.000529441 -0.000737695 -0.00089095 -0.000961139 -0.000934425 -0.000804802 -0.000567152 -0.000217335; -8.09988e-5 -0.000267767 -0.000481034 -0.000695313 -0.00087407 -0.000981145 -0.000988075 -0.000874138 -0.000626163 -0.000241434; -5.57251e-5 -0.000193095 -0.000369648 -0.000570592 -0.000762388 -0.000902482 -0.000948904 -0.000866426 -0.000633008 -0.000246225; -2.01275e-5 -8.66627e-5 -0.000205917 -0.000375888 -0.000567956 -0.000735225 -0.000824065 -0.000785859 -0.000589606 -0.000232227; 2.26385e-5 4.20872e-5 -4.53893e-6 -0.000129224 -0.000309822 -0.000497243 -0.00062855 -0.000643545 -0.000502787 -0.000201826; 6.9017e-5 0.000182413 0.00021745 0.000147905 -1.1586e-5 -0.000211775 -0.000383001 -0.000455738 -0.000383118 -0.000158848; 0.00011539 0.000323312 0.000442362 0.000432744 0.000301129 9.51929e-5 -0.000111245 -0.000241795 -0.000243515 -0.00010804; 0.000158373 0.000454428 0.000653364 0.000703284 0.000603051 0.000397459 0.000162144 -2.2101e-5 -9.77982e-5 -5.45272e-5; 0.000195043 0.000566779 0.000835697 0.00093994 0.000871279 0.000670821 0.000414036 0.000183839 4.06374e-5 -3.31288e-6; 0.000223112 0.000653276 0.000977573 0.00112681 0.00108686 0.000894834 0.000624518 0.000358961 0.000159939 4.11493e-5; 0.000241017 0.000709035 0.00107072 0.00125246 0.0012358 0.00105403 0.000778166 0.000489798 0.000250627 7.52725e-5; 0.00024795 0.000731485 0.00111063 0.00131034 0.00130965 0.00113858 0.000864795 0.000567182 0.000306117 9.65394e-5; 0.000243842 0.000720305 0.00109642 0.00129869 0.00130552 0.00114447 0.000879695 0.000586512 0.000322933 0.00010359; 0.000229283 0.000677217 0.00103062 0.00122023 0.00122573 0.00107322 0.000823427 0.000547637 0.000300659 9.62071e-5; 0.000205425 0.000605673 0.0009186 0.00108154 0.00107717 0.000931188 0.000701271 0.000454423 0.000241657 7.52154e-5; 0.000173859 0.000510484 0.000767998 0.000892263 0.000870398 0.000728752 0.000522405 0.00031409 0.000150628 4.23212e-5; 0.000136474 0.000397401 0.000588052 0.000664229 0.000618664 0.00047923 0.000298942 0.000136416 3.40707e-5 -9.11728e-8; 9.53296e-5 0.000272708 0.000388918 0.000410588 0.000336853 0.000197808 4.48945e-5 -6.71368e-5 -0.000100317 -4.91793e-5; 5.25278e-5 0.000142833 0.000181033 0.000144935 4.04956e-5 -9.95238e-5 -0.000224839 -0.000284274 -0.000244222 -0.000101864; 1.00994e-5 1.39994e-5 -2.5464e-5 -0.000119446 -0.000255144 -0.000396936 -0.000495407 -0.000502665 -0.00038927 -0.000155034; -3.00879e-5 -0.000108061 -0.000221204 -0.000370236 -0.000535834 -0.00067959 -0.000752815 -0.000710633 -0.000527503 -0.000205727; -6.64021e-5 -0.000218334 -0.000397972 -0.000596592 -0.000788993 -0.000934306 -0.000984571 -0.000897715 -0.000651765 -0.000251279; -9.74987e-5 -0.000312682 -0.000548972 -0.000789509 -0.00100413 -0.00115004 -0.00118017 -0.00105508 -0.000756001 -0.000289426; -0.00012235 -0.000387938 -0.000668987 -0.000942049 -0.00117312 -0.00131821 -0.00133138 -0.00117578 -0.000835441 -0.000318388; -0.000140257 -0.000441943 -0.000754444 -0.00104943 -0.00129034 -0.0014328 -0.00143245 -0.00125493 -0.000886703 -0.000336896; -0.000150841 -0.000473525 -0.000803388 -0.00110902 -0.00135262 -0.00149043 -0.00148005 -0.00128967 -0.000907806 -0.000344205; -0.000154029 -0.000482445 -0.000815392 -0.00112017 -0.00135915 -0.00149012 -0.00147319 -0.00127911 -0.000898109 -0.00034007; -0.000150017 -0.000469295 -0.000791399 -0.00108409 -0.00131124 -0.00143318 -0.00141302 -0.00122417 -0.000858203 -0.000324705; -0.000139235 -0.000435393 -0.000733539 -0.00100353 -0.00121203 -0.00132282 -0.00130253 -0.00112729 -0.000789747 -0.000298725; -0.000122306 -0.00038264 -0.000644912 -0.00088256 -0.00106618 -0.00116387 -0.00114624 -0.000992237 -0.000695294 -0.000263076; -9.99972e-5 -0.000313394 -0.000529361 -0.000726218 -0.000879517 -0.000962409 -0.000949879 -0.000823779 -0.000578091 -0.000218967; -7.31799e-5 -0.000230325 -0.000391254 -0.000540254 -0.000658687 -0.00072537 -0.000720005 -0.000627399 -0.000441878 -0.000167791; -4.27838e-5 -0.000136289 -0.000235264 -0.000330833 -0.000410833 -0.000460232 -0.000463695 -0.000409018 -0.000290702 -0.000111054; -9.76062e-6 -3.42104e-5 -6.61807e-5 -0.000104273 -0.000143288 -0.000174678 -0.000188234 -0.000174742 -0.000128737 -5.03124e-5; 2.49503e-5 7.30257e-5 0.000111267 0.000133177 0.00013669 0.000123677 9.91509e-5 6.93707e-5 3.98707e-5 1.28879e-5; 6.04509e-5 0.000182658 0.000292552 0.000375535 0.000422146 0.000427531 0.000391527 0.000317501 0.00021114 7.70618e-5; 9.5907e-5 0.000292123 0.00047347 0.000617238 0.000706613 0.000730091 0.000682438 0.000564228 0.000381358 0.000140825; 0.000130566 0.000399107 0.000650224 0.000853267 0.000984249 0.00102522 0.000966047 0.000804651 0.00054717 0.000202926; 0.000163769 0.000501583 0.000819491 0.00107922 0.00124994 0.00130753 0.00123724 0.00103447 0.000705632 0.000262266; 0.000194959 0.000597839 0.000978458 0.00129139 0.00149934 0.00157247 0.00149169 0.00125006 0.000854253 0.000317916; 0.000223683 0.00068648 0.00112484 0.00148673 0.00172894 0.00181634 0.00172586 0.00144845 0.000991008 0.000369122; 0.000249589 0.000766429 0.00125686 0.00166291 0.00193602 0.00203629 0.00193706 0.00162736 0.00111434 0.0004153; 0.000272428 0.000836916 0.00137328 0.00181828 0.00211865 0.00223027 0.00212334 0.00178519 0.00122313 0.000456038; 0.000292043 0.000897459 0.00147328 0.00195177 0.0022756 0.00239703 0.00228351 0.00192091 0.00131671 0.00049108; 0.00030836 0.000947836 0.00155652 0.00206292 0.00240634 0.00253599 0.00241704 0.00203409 0.00139476 0.000520314; 0.000321384 0.000988058 0.00162301 0.00215177 0.00251091 0.00264721 0.00252398 0.00212479 0.00145734 0.000543758; 0.000331184 0.00101834 0.00167311 0.00221878 0.00258988 0.0027313 0.00260492 0.0021935 0.00150478 0.000561541; 0.000337883 0.00103906 0.00170745 0.00226481 0.00264423 0.00278932 0.00266088 0.0022411 0.00153768 0.000573886; 0.00034165 0.00105075 0.0017269 0.002291 0.00267533 0.00282268 0.00269323 0.00226873 0.00155685 0.000581092; 0.00034269 0.00105403 0.00173248 0.00229873 0.00268478 0.00283312 0.00270361 0.00227779 0.00156324 0.000583518; 0.000341231 0.0010496 0.00172536 0.00228955 0.00267441 0.00282255 0.00269387 0.00226984 0.00155792 0.000581565; 0.00033752 0.00103823 0.0017068 0.00226513 0.00264617 0.00279305 0.002666 0.00224656 0.00154205 0.000575665; 0.000331814 0.00102071 0.0016781 0.0022272 0.00260208 0.00274677 0.00262204 0.00220968 0.00151682 0.000566265; 0.000324369 0.000997836 0.00164056 0.00217751 0.0025442 0.00268586 0.00256408 0.00216096 0.00148344 0.000553816; 0.000315442 0.000970388 0.00159548 0.00211778 0.00247455 0.00261248 0.00249416 0.00210213 0.0014431 0.000538764; 0.00030528 0.000939134 0.00154413 0.00204968 0.00239508 0.0025287 0.00241427 0.00203486 0.00139695 0.00052154; 0.000294121 0.000904802 0.0014877 0.00197482 0.00230768 0.00243649 0.00232631 0.00196077 0.00134611 0.000502557; 0.000282185 0.000868075 0.00142732 0.0018947 0.00221409 0.00233773 0.00223205 0.00188135 0.00129159 0.000482201; 0.000269678 0.000829587 0.00136403 0.00181069 0.00211594 0.00223412 0.00213315 0.001798 0.00123437 0.00046083; 0.000256788 0.000789916 0.00129878 0.00172407 0.00201472 0.00212725 0.00203112 0.00171199 0.00117531 0.000438773; 0.000243683 0.000749583 0.00123244 0.00163599 0.00191176 0.00201853 0.00192729 0.00162446 0.0011152 0.000416322; 0.000230514 0.000709048 0.00116576 0.00154744 0.00180826 0.00190922 0.00182289 0.00153644 0.00105474 0.00039374; 0.000217411 0.000668716 0.00109941 0.00145933 0.00170525 0.00180041 0.00171896 0.0014488 0.000994548 0.000371256; 0.000204488 0.000628935 0.00103397 0.0013724 0.00160362 0.00169305 0.0016164 0.00136231 0.000935145 0.000349066; 0.00019184 0.00059 0.000969907 0.00128732 0.00150413 0.00158795 0.001516 0.00127764 0.000876979 0.000327338; 0.000179546 0.000552154 0.000907639 0.0012046 0.00140742 0.00148577 0.00141837 0.0011953 0.000820421 0.00030621; 0.00016767 0.000515596 0.000847486 0.0011247 0.00131398 0.00138705 0.00132405 0.00111575 0.00076577 0.000285794; 0.000156262 0.000480478 0.000789703 0.00104794 0.00122422 0.0012922 0.00123343 0.00103931 0.000713263 0.000266179; 0.000145361 0.000446918 0.000734482 0.000974582 0.00113843 0.00120155 0.00114682 0.000966256 0.000663075 0.00024743; 0.000134991 0.000414996 0.000681957 0.000904805 0.00105682 0.00111533 0.00106442 0.00089676 0.000615333 0.000229595; 0.000125171 0.000384765 0.000632213 0.000838721 0.000979539 0.00103366 0.00098639 0.000830939 0.000570115 0.000212703; 0.000115908 0.000356249 0.000585291 0.000776386 0.000906638 0.000956628 0.000912781 0.00076885 0.00052746 0.000196769; 0.000107202 0.00032945 0.000541196 0.000717806 0.000838128 0.000884233 0.000843604 0.0007105 0.000487375 0.000181794; 9.90491e-5 0.000304352 0.000499899 0.000662944 0.000773966 0.000816434 0.000778819 0.000655854 0.000449835 0.000167771; 9.14375e-5 0.000280922 0.000461347 0.000611729 0.000714071 0.000753144 0.000718343 0.000604843 0.000414792 0.000154681; 8.43529e-5 0.000259115 0.000425466 0.000564063 0.000658326 0.00069424 0.000662059 0.000557369 0.000382179 0.000142498; 7.77772e-5 0.000238874 0.000392163 0.000519824 0.00060659 0.000639573 0.000609825 0.000513312 0.000351915 0.000131194; 7.16897e-5 0.000220137 0.000361335 0.000478873 0.000558702 0.000588973 0.000561478 0.000472534 0.000323904 0.000120731; 6.6068e-5 0.000202834 0.000332868 0.00044106 0.000514483 0.000542252 0.000516838 0.000434885 0.000298042 0.000111071; 6.08884e-5 0.000186892 0.000306642 0.000406224 0.000473749 0.000499214 0.000475719 0.000400206 0.000274222 0.000102175; 5.61265e-5 0.000172237 0.000282533 0.000374202 0.000436306 0.000459656 0.000437926 0.000368333 0.000252331 9.39985e-5; 5.17573e-5 0.000158791 0.000260415 0.000344826 0.000401958 0.00042337 0.000403261 0.0003391 0.000232253 8.65003e-5; 4.77563e-5 0.000146479 0.000240163 0.00031793 0.000370512 0.00039015 0.000371528 0.000312341 0.000213876 7.96372e-5; 4.40989e-5 0.000135225 0.000221652 0.000293348 0.000341775 0.000359794 0.000342531 0.000287891 0.000197085 7.33673e-5; 4.07613e-5 0.000124955 0.000204763 0.000270921 0.000315557 0.000332102 0.000316082 0.000265591 0.000181772 6.76491e-5; 3.77204e-5 0.000115599 0.000189377 0.000250492 0.000291678 0.000306882 0.000291995 0.000245284 0.000167828 6.2443e-5; 3.49538e-5 0.000107089 0.000175382 0.000231911 0.000269961 0.000283948 0.000270094 0.000226821 0.000155152 5.77103e-5; 3.24404e-5 9.9357e-5 0.000162669 0.000215036 0.000250239 0.000263123 0.000250208 0.000210058 0.000143644 5.34143e-5; 3.01599e-5 9.23426e-5 0.000151137 0.000199728 0.000232352 0.000244237 0.000232177 0.000194861 0.000133212 4.95201e-5; 2.8093e-5 8.59862e-5 0.000140688 0.000185861 0.000216149 0.000227132 0.000215847 0.000181099 0.000123766 4.59945e-5; 2.62219e-5 8.02323e-5 0.000131231 0.00017331 0.000201488 0.000211656 0.000201075 0.000168652 0.000115223 4.28064e-5; 2.45294e-5 7.50286e-5 0.000122679 0.000161964 0.000188234 0.000197669 0.000187726 0.000157405 0.000107505 3.99264e-5; 2.29997e-5 7.03261e-5 0.000114952 0.000151713 0.000176263 0.000185036 0.000175671 0.000147251 0.000100539 3.73269e-5; 2.1618e-5 6.60791e-5 0.000107975 0.000142458 0.000165456 0.000173636 0.000164794 0.000138089 9.4254e-5 3.49825e-5; 2.03703e-5 6.22449e-5 0.000101677 0.000134106 0.000155706 0.000163351 0.000154984 0.000129828 8.85877e-5 3.2869e-5; 1.9244e-5 5.8784e-5 9.59935e-5 0.000126571 0.000146911 0.000154075 0.000146138 0.000122381 8.34804e-5 3.09643e-5; 1.82269e-5 5.56596e-5 9.08636e-5 0.000119771 0.000138976 0.000145709 0.000138161 0.000115666 7.88767e-5 2.92477e-5; 1.73081e-5 5.28378e-5 8.62317e-5 0.000113632 0.000131815 0.000138161 0.000130965 0.00010961 7.47258e-5 2.77003e-5; 1.64775e-5 5.02874e-5 8.20461e-5 0.000108087 0.000125347 0.000131345 0.00012447 0.000104145 7.09805e-5 2.63044e-5; 1.57257e-5 4.79795e-5 7.82596e-5 0.000103071 0.000119499 0.000125184 0.0001186 9.92081e-5 6.75977e-5 2.50439e-5; 1.50442e-5 4.58879e-5 7.48289e-5 9.85285e-5 0.000114204 0.000119607 0.000113288 9.47412e-5 6.4538e-5 2.3904e-5; 1.44252e-5 4.39887e-5 7.17147e-5 9.4406e-5 0.0001094 0.000114548 0.000108472 9.06924e-5 6.17654e-5 2.28714e-5; 1.38617e-5 4.22604e-5 6.88816e-5 9.06566e-5 0.000105032 0.000109951 0.000104096 8.70147e-5 5.92476e-5 2.19339e-5; 1.33475e-5 4.06837e-5 6.62977e-5 8.72383e-5 0.000101051 0.000105762 0.00010011 8.36659e-5 5.69557e-5 2.10807e-5; 1.28771e-5 3.92416e-5 6.39353e-5 8.41139e-5 9.74137e-5 0.000101936 9.647e-5 8.0609e-5 5.48641e-5 2.03024e-5; 1.24457e-5 3.79196e-5 6.17701e-5 8.12512e-5 9.40821e-5 9.84331e-5 9.31385e-5 7.78117e-5 5.29508e-5 1.95905e-5; 1.20492e-5 3.67049e-5 5.97815e-5 7.86229e-5 9.10243e-5 9.52187e-5 9.00826e-5 7.52466e-5 5.11968e-5 1.89382e-5; 1.16844e-5 3.55876e-5 5.79527e-5 7.62065e-5 8.82138e-5 9.22653e-5 8.72757e-5 7.28913e-5 4.95867e-5 1.83395e-5; 1.13486e-5 3.45594e-5 5.62704e-5 7.39844e-5 8.56301e-5 8.9551e-5 8.46969e-5 7.07279e-5 4.81082e-5 1.779e-5]

Contour comparison

fig = Figure(size=(1200, 700))

# 2×2 layout
axes_layout = [(1, 1), (1, 2), (2, 1), (2, 2)]
axes = [Axis(fig[r, c]; title=titles[i],
             ylabel = c == 1 ? "z (km)" : "",
             xlabel = r == 2 ? "x (km)" : "")
        for (i, (r, c)) in enumerate(axes_layout)]

for ax in axes; if ax.xlabel[] == ""; hidexdecorations!(ax, grid=false); end; end
for ax in axes; if ax.ylabel[] == ""; hideydecorations!(ax, grid=false); end; end

cfs = [contourf!(axes[i], x_km, z_km, θ′_final[k]; colormap=:balance, levels)
       for (i, k) in enumerate(cases)]

Colorbar(fig[1:2, 3], first(cfs); label="θ′ (K)")
fig[0, :] = Label(fig, "Inertia-gravity waves: θ′ at t = $(prettytime(times[Nt]))", fontsize=20)

n = Observable(1)

fig_anim = Figure(size=(1200, 700))
anim_axes = [Axis(fig_anim[r, c]; title=titles[i],
                   ylabel = c == 1 ? "z (km)" : "",
                   xlabel = r == 2 ? "x (km)" : "")
             for (i, (r, c)) in enumerate(axes_layout)]

for ax in anim_axes; if ax.xlabel[] == ""; hidexdecorations!(ax, grid=false); end; end
for ax in anim_axes; if ax.ylabel[] == ""; hideydecorations!(ax, grid=false); end; end

hm_anims = [contourf!(anim_axes[i], @lift(θ′ts[k][$n]);
                      colormap=:balance, levels, extendhigh=:auto, extendlow=:auto)
            for (i, k) in enumerate(cases)]

Colorbar(fig_anim[1:2, 3], last(hm_anims); label="θ′ (K)")
anim_title = @lift "Inertia-gravity waves: θ′ at t = $(prettytime(times[$n]))"
fig_anim[0, :] = Label(fig_anim, anim_title, fontsize=20, tellwidth=false)

record(fig_anim, "inertia_gravity_wave.mp4", 1:Nt, framerate=8) do nn
    n[] = nn
end

Cross-section comparison

A vertical cross-section at mid-height shows the wave phase and amplitude differences:

z_mid = Nz ÷ 2
linestyles = [:solid, :dash, :dot, :dashdot]
colors = Makie.wong_colors()

fig_cross = Figure(size=(900, 400))
ax = Axis(fig_cross[1, 1], xlabel="x (km)", ylabel="θ′ (K)",
          title="θ′ at z = $(round(z_km[z_mid], digits=1)) km, t = $(prettytime(times[Nt]))")

for (i, k) in enumerate(cases)
    lines!(ax, x_km, θ′_final[k][:, z_mid];
           label=titles[i], linewidth=2, linestyle=linestyles[i], color=colors[i])
end

axislegend(ax, position=:rt)

fig_cross

Julia version and environment information

This example was executed with the following version of Julia:

using InteractiveUtils: versioninfo
versioninfo()

Julia Version 1.12.6
Commit 15346901f00 (2026-04-09 19:20 UTC)
Build Info:
  Official https://julialang.org release
Platform Info:
  OS: Linux (x86_64-linux-gnu)
  CPU: 8 × AMD EPYC 7R13 Processor
  WORD_SIZE: 64
  LLVM: libLLVM-18.1.7 (ORCJIT, znver3)
  GC: Built with stock GC
Threads: 1 default, 1 interactive, 1 GC (on 8 virtual cores)
Environment:
  JULIA_GPG = 3673DF529D9049477F76B37566E3C7DC03D6E495
  JULIA_LOAD_PATH = :@breeze
  JULIA_PKG_SERVER_REGISTRY_PREFERENCE = eager
  JULIA_VERSION = 1.12.6
  JULIA_DEPOT_PATH = /usr/local/share/julia:
  JULIA_PATH = /usr/local/julia
  JULIA_PROJECT = @breeze

These were the top-level packages installed in the environment:

import Pkg
Pkg.status()

Status `/__w/Breeze.jl/Breeze.jl/docs/Project.toml`
  [86bc3604] AtmosphericProfilesLibrary v0.1.7
  [660aa2fb] Breeze v0.5.3 `.`
⌅ [052768ef] CUDA v6.0.0
  [13f3f980] CairoMakie v0.15.11
⌅ [6a9e3e04] CloudMicrophysics v0.35.0
  [e30172f5] Documenter v1.17.0
  [daee34ce] DocumenterCitations v1.4.1
  [7da242da] Enzyme v0.13.156
  [46192b85] GPUArraysCore v0.2.0
  [63c18a36] KernelAbstractions v0.9.41
  [98b081ad] Literate v2.21.0
  [85f8d34a] NCDatasets v0.14.15
  [9e8cae18] Oceananigans v0.110.1
  [a01a1ee8] RRTMGP v0.21.9
  [3c362404] Reactant v0.2.264
  [b77e0a4c] InteractiveUtils v1.11.0
  [44cfe95a] Pkg v1.12.1
  [9a3f8284] Random v1.11.0
Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated`

This page was generated using Literate.jl.