Basic Impact-Z example¶
This is a basica example using the parameters described in:
C. Mayes, R. Ryne, D. Sagan 3D SPACE CHARGE IN BMAD https://epaper.kek.jp/ipac2018/papers/thpak085.pdf
Imports¶
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from impact import ImpactZ
import impact.z as IZ
from pmd_beamphysics.units import mec2, c_light
import numpy as np
import os
from impact import ImpactZ
import impact.z as IZ
from pmd_beamphysics.units import mec2, c_light
import numpy as np
import os
Parameters¶
Set some parameters to be used in the input
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energy0 = 10e6
gamma0 = energy0 / mec2
betagamma0 = np.sqrt(gamma0**2 - 1)
sigma_x0 = 1e-3
sigma_y0 = 1e-3
sigma_z0 = 0.1e-3
beta_x0 = 1000
beta_y0 = 100
n_particle = 100_000
energy0 = 10e6
gamma0 = energy0 / mec2
betagamma0 = np.sqrt(gamma0**2 - 1)
sigma_x0 = 1e-3
sigma_y0 = 1e-3
sigma_z0 = 0.1e-3
beta_x0 = 1000
beta_y0 = 100
n_particle = 100_000
Impact-Z input¶
The input object contains the header and lattice information.
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input = IZ.ImpactZInput(
initial_particles=None,
n_particle=n_particle,
nx=32,
ny=32,
nz=32,
distribution=IZ.DistributionType.gauss,
twiss_beta_x=beta_x0,
twiss_norm_emit_x=sigma_x0**2 * betagamma0 / beta_x0,
twiss_beta_y=beta_y0,
twiss_norm_emit_y=sigma_y0**2 * betagamma0 / beta_y0,
average_current=0.13,
reference_kinetic_energy=energy0 - mec2,
reference_particle_mass=mec2,
reference_particle_charge=-1.0,
reference_frequency=1300000000.0,
lattice=[
IZ.WriteFull(name="initial_particles", file_id=100),
IZ.Drift(
name="MyDrift",
length=1.0,
steps=100,
map_steps=100,
),
IZ.WriteFull(name="final_particles", file_id=101),
],
)
input = IZ.ImpactZInput(
initial_particles=None,
n_particle=n_particle,
nx=32,
ny=32,
nz=32,
distribution=IZ.DistributionType.gauss,
twiss_beta_x=beta_x0,
twiss_norm_emit_x=sigma_x0**2 * betagamma0 / beta_x0,
twiss_beta_y=beta_y0,
twiss_norm_emit_y=sigma_y0**2 * betagamma0 / beta_y0,
average_current=0.13,
reference_kinetic_energy=energy0 - mec2,
reference_particle_mass=mec2,
reference_particle_charge=-1.0,
reference_frequency=1300000000.0,
lattice=[
IZ.WriteFull(name="initial_particles", file_id=100),
IZ.Drift(
name="MyDrift",
length=1.0,
steps=100,
map_steps=100,
),
IZ.WriteFull(name="final_particles", file_id=101),
],
)
A convenience function will set the longitudinal distribution from rms duration and energy spread:
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input.set_twiss_z(sigma_t=0.1e-3 / c_light, sigma_energy=1)
input.set_twiss_z(sigma_t=0.1e-3 / c_light, sigma_energy=1)
Here is a compact readback. Note that values that are default are not displayed
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input
input
Out[5]:
ImpactZInput(
n_particle=100000,
nx=32,
ny=32,
nz=32,
distribution=IZ.DistributionType.gauss,
twiss_beta_x=1000.0,
twiss_norm_emit_x=1.954394516081986e-08,
twiss_beta_y=100.0,
twiss_norm_emit_y=1.9543945160819862e-07,
twiss_beta_z=156107.99655273516,
twiss_norm_emit_z=1.5610799655273516e-07,
average_current=0.13,
reference_kinetic_energy=9489001.04931,
reference_particle_mass=510998.95069,
reference_particle_charge=-1.0,
reference_frequency=1300000000.0,
lattice=[
WriteFull(name='initial_particles', file_id=100),
Drift(name='MyDrift', length=1.0, steps=100, map_steps=100),
WriteFull(name='final_particles', file_id=101)
]
)
Including defaults
ImpactZInput(
initial_particles=None,
ncpu_y=1,
ncpu_z=1,
gpu=IZ.GPUFlag.disabled,
seed=0,
n_particle=100000,
integrator_type=IZ.IntegratorType.linear_map,
err=1,
diagnostic_type=IZ.DiagnosticType.extended,
nx=32,
ny=32,
nz=32,
boundary_type=IZ.BoundaryType.trans_open_longi_open,
radius_x=0.0,
radius_y=0.0,
z_period_size=0.0,
distribution=IZ.DistributionType.gauss,
restart=0,
subcycle=0,
nbunch=1,
particle_list=[0],
current_list=[0.0],
charge_over_mass_list=[0.0],
twiss_alpha_x=0.0,
twiss_beta_x=1000.0,
twiss_norm_emit_x=1.954394516081986e-08,
twiss_mismatch_x=1.0,
twiss_mismatch_px=1.0,
twiss_offset_x=0.0,
twiss_offset_px=0.0,
twiss_alpha_y=0.0,
twiss_beta_y=100.0,
twiss_norm_emit_y=1.9543945160819862e-07,
twiss_mismatch_y=1.0,
twiss_mismatch_py=1.0,
twiss_offset_y=0.0,
twiss_offset_py=0.0,
twiss_alpha_z=1e-09,
twiss_beta_z=156107.99655273516,
twiss_norm_emit_z=1.5610799655273516e-07,
twiss_mismatch_z=1.0,
twiss_mismatch_e_z=1.0,
twiss_offset_phase_z=0.0,
twiss_offset_energy_z=0.0,
average_current=0.13,
reference_kinetic_energy=9489001.04931,
reference_particle_mass=510998.95069,
reference_particle_charge=-1.0,
reference_frequency=1300000000.0,
initial_phase_ref=0.0,
lattice=[
WriteFull(
name='initial_particles',
metadata={},
length=0.0,
steps=0,
file_id=100,
type_id=-2,
unused_2=0.0,
sample_frequency=0
),
Drift(name='MyDrift', metadata={}, length=1.0, steps=100, map_steps=100, type_id=0, radius=1.0),
WriteFull(
name='final_particles',
metadata={},
length=0.0,
steps=0,
file_id=101,
type_id=-2,
unused_2=0.0,
sample_frequency=0
)
],
filename=None,
verbose=False
)
Create ImpactZ object from input¶
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I = ImpactZ(input)
I = ImpactZ(input)
Run¶
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I.run()
I.run()
Out[7]:
ImpactZOutput(
run=RunInfo(
error_reason='',
run_script='/home/runner/miniconda3/envs/lume-impact-dev/bin/ImpactZexe',
run_time=4.80665202299997
),
stats=OutputStats(
beta_ref=array([0.99869355, 0.99869355, 0.99869355, 0.99869355, 0.99869355,
0.99869355, 0.99869355, 0.99869355, 0.99869355, 0.99869355,
0.99869355, 0.99869355, 0.99869355, 0.99869355, 0.99869355,
0.99869355, 0.99869355, 0.99869355, 0.99869355, 0.99869355,
0.99869355, 0.99869355, 0.99869355, 0.99869355, 0.99869355,
0.99869355, 0.99869355, 0.99869355, 0.99869355, 0.99869355,
0.99869355, 0.99869355, 0.99869355, 0.99869355, 0.99869355,
0.99869355, 0.99869355, 0.99869355, 0.99869355, 0.99869355,
0.99869355, 0.99869355, 0.99869355, 0.99869355, 0.99869355,
0.99869355, 0.99869355, 0.99869355, 0.99869355, 0.99869355,
0.99869355, 0.99869355, 0.99869355, 0.99869355, 0.99869355,
0.99869355, 0.99869355, 0.99869355, 0.99869355, 0.99869355,
0.99869355, 0.99869355, 0.99869355, 0.99869355, 0.99869355,
0.99869355, 0.99869355, 0.99869355, 0.99869355, 0.99869355,
0.99869355, 0.99869355, 0.99869355, 0.99869355, 0.99869355,
0.99869355, 0.99869355, 0.99869355, 0.99869355, 0.99869355,
0.99869355, 0.99869355, 0.99869355, 0.99869355, 0.99869355,
0.99869355, 0.99869355, 0.99869355, 0.99869355, 0.99869355,
0.99869355, 0.99869355, 0.99869355, 0.99869355, 0.99869355,
0.99869355, 0.99869355, 0.99869355, 0.99869355, 0.99869355,
0.99869355]),
charge_state_n_particle=array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]),
gamma_ref=array([19.56951181, 19.56951181, 19.56951181, 19.56951181, 19.56951181,
19.56951181, 19.56951181, 19.56951181, 19.56951181, 19.56951181,
19.56951181, 19.56951181, 19.56951181, 19.56951181, 19.56951181,
19.56951181, 19.56951181, 19.56951181, 19.56951181, 19.56951181,
19.56951181, 19.56951181, 19.56951181, 19.56951181, 19.56951181,
19.56951181, 19.56951181, 19.56951181, 19.56951181, 19.56951181,
19.56951181, 19.56951181, 19.56951181, 19.56951181, 19.56951181,
19.56951181, 19.56951181, 19.56951181, 19.56951181, 19.56951181,
19.56951181, 19.56951181, 19.56951181, 19.56951181, 19.56951181,
19.56951181, 19.56951181, 19.56951181, 19.56951181, 19.56951181,
19.56951181, 19.56951181, 19.56951181, 19.56951181, 19.56951181,
19.56951181, 19.56951181, 19.56951181, 19.56951181, 19.56951181,
19.56951181, 19.56951181, 19.56951181, 19.56951181, 19.56951181,
19.56951181, 19.56951181, 19.56951181, 19.56951181, 19.56951181,
19.56951181, 19.56951181, 19.56951181, 19.56951181, 19.56951181,
19.56951181, 19.56951181, 19.56951181, 19.56951181, 19.56951181,
19.56951181, 19.56951181, 19.56951181, 19.56951181, 19.56951181,
19.56951181, 19.56951181, 19.56951181, 19.56951181, 19.56951181,
19.56951181, 19.56951181, 19.56951181, 19.56951181, 19.56951181,
19.56951181, 19.56951181, 19.56951181, 19.56951181, 19.56951181,
19.56951181]),
kinetic_energy_ref=array([9489001.04931, 9489001.04931, 9489001.04931, 9489001.04931,
9489001.04931, 9489001.04931, 9489001.04931, 9489001.04931,
9489001.04931, 9489001.04931, 9489001.04931, 9489001.04931,
9489001.04931, 9489001.04931, 9489001.04931, 9489001.04931,
9489001.04931, 9489001.04931, 9489001.04931, 9489001.04931,
9489001.04931, 9489001.04931, 9489001.04931, 9489001.04931,
9489001.04931, 9489001.04931, 9489001.04931, 9489001.04931,
9489001.04931, 9489001.04931, 9489001.04931, 9489001.04931,
9489001.04931, 9489001.04931, 9489001.04931, 9489001.04931,
9489001.04931, 9489001.04931, 9489001.04931, 9489001.04931,
9489001.04931, 9489001.04931, 9489001.04931, 9489001.04931,
9489001.04931, 9489001.04931, 9489001.04931, 9489001.04931,
9489001.04931, 9489001.04931, 9489001.04931, 9489001.04931,
9489001.04931, 9489001.04931, 9489001.04931, 9489001.04931,
9489001.04931, 9489001.04931, 9489001.04931, 9489001.04931,
9489001.04931, 9489001.04931, 9489001.04931, 9489001.04931,
9489001.04931, 9489001.04931, 9489001.04931, 9489001.04931,
9489001.04931, 9489001.04931, 9489001.04931, 9489001.04931,
9489001.04931, 9489001.04931, 9489001.04931, 9489001.04931,
9489001.04931, 9489001.04931, 9489001.04931, 9489001.04931,
9489001.04931, 9489001.04931, 9489001.04931, 9489001.04931,
9489001.04931, 9489001.04931, 9489001.04931, 9489001.04931,
9489001.04931, 9489001.04931, 9489001.04931, 9489001.04931,
9489001.04931, 9489001.04931, 9489001.04931, 9489001.04931,
9489001.04931, 9489001.04931, 9489001.04931, 9489001.04931,
9489001.04931]),
loadbalance_max_n_particle=array([100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000]),
loadbalance_min_n_particle=array([100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000]),
max_amplitude_energy_dev=array([], dtype=float64),
max_amplitude_gammabeta_x=array([], dtype=float64),
max_amplitude_gammabeta_y=array([], dtype=float64),
max_amplitude_phase=array([], dtype=float64),
max_amplitude_x=array([], dtype=float64),
max_amplitude_y=array([], dtype=float64),
max_r=array([0.00449826, 0.00449831, 0.00449838, 0.00449847, 0.00449857,
0.0044987 , 0.00449884, 0.004499 , 0.00449918, 0.00449937,
0.00449959, 0.00449982, 0.00450007, 0.00450034, 0.00450063,
0.00450093, 0.00450125, 0.00450159, 0.00450195, 0.00450233,
0.00450273, 0.00450314, 0.00450357, 0.00450402, 0.00450449,
0.00450498, 0.00450548, 0.004506 , 0.00450654, 0.0045071 ,
0.00450768, 0.00450827, 0.00450888, 0.00450951, 0.00451016,
0.00451083, 0.00451151, 0.00451222, 0.00451294, 0.00451368,
0.00451443, 0.00451521, 0.004516 , 0.00451681, 0.00451764,
0.00451849, 0.00451935, 0.00452023, 0.00452113, 0.00452205,
0.00452299, 0.00452394, 0.00452492, 0.00452591, 0.00452691,
0.00452794, 0.00452898, 0.00453005, 0.00453113, 0.00453222,
0.00453334, 0.00453447, 0.00453562, 0.00453679, 0.00453798,
0.00453918, 0.00454041, 0.00454165, 0.0045429 , 0.00454418,
0.00454547, 0.00454679, 0.00454811, 0.00454946, 0.00455083,
0.00455221, 0.00455361, 0.00455503, 0.00455646, 0.00455791,
0.00455939, 0.00456087, 0.00456238, 0.0045639 , 0.00456545,
0.004567 , 0.00456858, 0.00457017, 0.00457179, 0.00457342,
0.00457506, 0.00457673, 0.00457841, 0.00458011, 0.00458183,
0.00458356, 0.00458531, 0.00458708, 0.00458887, 0.00459067,
0.00459249]),
mean_phase_deg=array([-5.01652805e-05, -5.01643198e-05, -5.01627921e-05, -5.01601299e-05,
-5.01557661e-05, -5.01491340e-05, -5.01396672e-05, -5.01268002e-05,
-5.01099679e-05, -5.00886065e-05, -5.00621528e-05, -5.00300448e-05,
-4.99917221e-05, -4.99466251e-05, -4.98941960e-05, -4.98338786e-05,
-4.97651183e-05, -4.96873623e-05, -4.96000600e-05, -4.95026625e-05,
-4.93946233e-05, -4.92753982e-05, -4.91444452e-05, -4.90012250e-05,
-4.88452009e-05, -4.86758387e-05, -4.84926072e-05, -4.82949781e-05,
-4.80824261e-05, -4.78544291e-05, -4.76104681e-05, -4.73500273e-05,
-4.70725947e-05, -4.67776614e-05, -4.64647223e-05, -4.61332759e-05,
-4.57828245e-05, -4.54128741e-05, -4.50229348e-05, -4.46125207e-05,
-4.41811497e-05, -4.37283442e-05, -4.32536307e-05, -4.27565398e-05,
-4.22366067e-05, -4.16933709e-05, -4.11263764e-05, -4.05351717e-05,
-3.99193100e-05, -3.92783491e-05, -3.86118514e-05, -3.79193843e-05,
-3.72005198e-05, -3.64548347e-05, -3.56819110e-05, -3.48813354e-05,
-3.40526996e-05, -3.31956004e-05, -3.23096394e-05, -3.13944236e-05,
-3.04495650e-05, -2.94746806e-05, -2.84693928e-05, -2.74333289e-05,
-2.63661216e-05, -2.52674089e-05, -2.41368338e-05, -2.29740448e-05,
-2.17786954e-05, -2.05504446e-05, -1.92889565e-05, -1.79939008e-05,
-1.66649522e-05, -1.53017908e-05, -1.39041021e-05, -1.24715766e-05,
-1.10039104e-05, -9.50080486e-06, -7.96196646e-06, -6.38710708e-06,
-4.77594384e-06, -3.12819914e-06, -1.44360059e-06, 2.78118926e-07,
2.03722135e-06, 3.83396341e-06, 5.66859666e-06, 7.54136751e-06,
9.45251720e-06, 1.14022819e-05, 1.33908927e-05, 1.54185756e-05,
1.74855515e-05, 1.95920365e-05, 2.17382414e-05, 2.39243722e-05,
2.61506302e-05, 2.84172115e-05, 3.07243074e-05, 3.30721045e-05,
3.54607846e-05]),
mean_px_over_p0=array([-1.30702553e-09, -1.30702629e-09, -1.30702672e-09, -1.30702681e-09,
-1.30702655e-09, -1.30702593e-09, -1.30702486e-09, -1.30702346e-09,
-1.30702164e-09, -1.30701952e-09, -1.30701730e-09, -1.30701462e-09,
-1.30701163e-09, -1.30700790e-09, -1.30700366e-09, -1.30699925e-09,
-1.30699497e-09, -1.30699042e-09, -1.30698609e-09, -1.30698170e-09,
-1.30697695e-09, -1.30697195e-09, -1.30696681e-09, -1.30696175e-09,
-1.30695693e-09, -1.30695257e-09, -1.30694915e-09, -1.30694437e-09,
-1.30693999e-09, -1.30693433e-09, -1.30692912e-09, -1.30692448e-09,
-1.30691968e-09, -1.30691285e-09, -1.30690723e-09, -1.30690154e-09,
-1.30689459e-09, -1.30688953e-09, -1.30688592e-09, -1.30688371e-09,
-1.30688326e-09, -1.30688181e-09, -1.30688087e-09, -1.30687908e-09,
-1.30687786e-09, -1.30687742e-09, -1.30687795e-09, -1.30687895e-09,
-1.30688261e-09, -1.30688738e-09, -1.30688950e-09, -1.30689244e-09,
-1.30689581e-09, -1.30689879e-09, -1.30690273e-09, -1.30690737e-09,
-1.30691470e-09, -1.30692161e-09, -1.30692949e-09, -1.30693494e-09,
-1.30694119e-09, -1.30694387e-09, -1.30694788e-09, -1.30694993e-09,
-1.30694937e-09, -1.30695017e-09, -1.30694852e-09, -1.30694730e-09,
-1.30694618e-09, -1.30694288e-09, -1.30693398e-09, -1.30692925e-09,
-1.30692615e-09, -1.30692138e-09, -1.30691972e-09, -1.30692042e-09,
-1.30692017e-09, -1.30692566e-09, -1.30692970e-09, -1.30693762e-09,
-1.30694491e-09, -1.30695022e-09, -1.30695423e-09, -1.30695737e-09,
-1.30695869e-09, -1.30696548e-09, -1.30697324e-09, -1.30698266e-09,
-1.30698985e-09, -1.30699592e-09, -1.30699996e-09, -1.30700737e-09,
-1.30701699e-09, -1.30702269e-09, -1.30702301e-09, -1.30702389e-09,
-1.30702047e-09, -1.30701572e-09, -1.30700894e-09, -1.30700207e-09,
-1.30699534e-09]),
mean_py_over_p0=array([5.31943374e-08, 5.31943407e-08, 5.31943465e-08, 5.31943546e-08,
5.31943650e-08, 5.31943779e-08, 5.31943932e-08, 5.31944110e-08,
5.31944313e-08, 5.31944540e-08, 5.31944787e-08, 5.31945056e-08,
5.31945347e-08, 5.31945653e-08, 5.31945978e-08, 5.31946327e-08,
5.31946705e-08, 5.31947104e-08, 5.31947523e-08, 5.31947965e-08,
5.31948426e-08, 5.31948904e-08, 5.31949401e-08, 5.31949912e-08,
5.31950447e-08, 5.31951004e-08, 5.31951579e-08, 5.31952174e-08,
5.31952804e-08, 5.31953451e-08, 5.31954110e-08, 5.31954796e-08,
5.31955499e-08, 5.31956230e-08, 5.31956970e-08, 5.31957735e-08,
5.31958512e-08, 5.31959316e-08, 5.31960156e-08, 5.31961001e-08,
5.31961890e-08, 5.31962805e-08, 5.31963721e-08, 5.31964668e-08,
5.31965643e-08, 5.31966648e-08, 5.31967654e-08, 5.31968694e-08,
5.31969762e-08, 5.31970838e-08, 5.31971887e-08, 5.31972953e-08,
5.31974024e-08, 5.31975086e-08, 5.31976165e-08, 5.31977248e-08,
5.31978315e-08, 5.31979377e-08, 5.31980430e-08, 5.31981487e-08,
5.31982528e-08, 5.31983558e-08, 5.31984603e-08, 5.31985635e-08,
5.31986695e-08, 5.31987705e-08, 5.31988740e-08, 5.31989808e-08,
5.31990863e-08, 5.31991886e-08, 5.31992959e-08, 5.31994060e-08,
5.31995169e-08, 5.31996311e-08, 5.31997534e-08, 5.31998744e-08,
5.31999921e-08, 5.32001092e-08, 5.32002263e-08, 5.32003444e-08,
5.32004644e-08, 5.32005848e-08, 5.32006996e-08, 5.32008164e-08,
5.32009353e-08, 5.32010524e-08, 5.32011703e-08, 5.32012838e-08,
5.32013984e-08, 5.32015087e-08, 5.32016214e-08, 5.32017400e-08,
5.32018610e-08, 5.32019822e-08, 5.32021011e-08, 5.32022198e-08,
5.32023426e-08, 5.32024665e-08, 5.32025831e-08, 5.32026918e-08,
5.32028040e-08]),
mean_x=array([3.45503257e-06, 3.45501950e-06, 3.45500643e-06, 3.45499336e-06,
3.45498030e-06, 3.45496724e-06, 3.45495420e-06, 3.45494116e-06,
3.45492814e-06, 3.45491514e-06, 3.45490216e-06, 3.45488920e-06,
3.45487626e-06, 3.45486334e-06, 3.45485046e-06, 3.45483761e-06,
3.45482478e-06, 3.45481200e-06, 3.45479925e-06, 3.45478654e-06,
3.45477387e-06, 3.45476124e-06, 3.45474867e-06, 3.45473614e-06,
3.45472366e-06, 3.45471123e-06, 3.45469886e-06, 3.45468654e-06,
3.45467428e-06, 3.45466209e-06, 3.45464995e-06, 3.45463788e-06,
3.45462588e-06, 3.45461395e-06, 3.45460209e-06, 3.45459030e-06,
3.45457859e-06, 3.45456696e-06, 3.45455540e-06, 3.45454393e-06,
3.45453253e-06, 3.45452123e-06, 3.45451001e-06, 3.45449887e-06,
3.45448783e-06, 3.45447688e-06, 3.45446602e-06, 3.45445526e-06,
3.45444459e-06, 3.45443403e-06, 3.45442356e-06, 3.45441320e-06,
3.45440294e-06, 3.45439278e-06, 3.45438273e-06, 3.45437279e-06,
3.45436296e-06, 3.45435324e-06, 3.45434363e-06, 3.45433414e-06,
3.45432476e-06, 3.45431550e-06, 3.45430636e-06, 3.45429734e-06,
3.45428844e-06, 3.45427966e-06, 3.45427100e-06, 3.45426247e-06,
3.45425406e-06, 3.45424578e-06, 3.45423763e-06, 3.45422961e-06,
3.45422171e-06, 3.45421395e-06, 3.45420632e-06, 3.45419883e-06,
3.45419146e-06, 3.45418424e-06, 3.45417714e-06, 3.45417019e-06,
3.45416337e-06, 3.45415669e-06, 3.45415015e-06, 3.45414375e-06,
3.45413748e-06, 3.45413136e-06, 3.45412538e-06, 3.45411955e-06,
3.45411385e-06, 3.45410830e-06, 3.45410289e-06, 3.45409763e-06,
3.45409251e-06, 3.45408754e-06, 3.45408271e-06, 3.45407803e-06,
3.45407350e-06, 3.45406911e-06, 3.45406487e-06, 3.45406078e-06,
3.45405683e-06]),
mean_y=array([1.81126692e-06, 1.81179886e-06, 1.81233080e-06, 1.81286275e-06,
1.81339470e-06, 1.81392665e-06, 1.81445862e-06, 1.81499060e-06,
1.81552259e-06, 1.81605460e-06, 1.81658662e-06, 1.81711867e-06,
1.81765074e-06, 1.81818284e-06, 1.81871497e-06, 1.81924713e-06,
1.81977932e-06, 1.82031154e-06, 1.82084381e-06, 1.82137611e-06,
1.82190845e-06, 1.82244084e-06, 1.82297328e-06, 1.82350576e-06,
1.82403830e-06, 1.82457088e-06, 1.82510353e-06, 1.82563623e-06,
1.82616899e-06, 1.82670181e-06, 1.82723470e-06, 1.82776765e-06,
1.82830067e-06, 1.82883376e-06, 1.82936692e-06, 1.82990016e-06,
1.83043347e-06, 1.83096686e-06, 1.83150033e-06, 1.83203388e-06,
1.83256752e-06, 1.83310124e-06, 1.83363505e-06, 1.83416895e-06,
1.83470293e-06, 1.83523702e-06, 1.83577119e-06, 1.83630546e-06,
1.83683983e-06, 1.83737430e-06, 1.83790888e-06, 1.83844355e-06,
1.83897833e-06, 1.83951321e-06, 1.84004820e-06, 1.84058330e-06,
1.84111852e-06, 1.84165384e-06, 1.84218928e-06, 1.84272483e-06,
1.84326049e-06, 1.84379628e-06, 1.84433218e-06, 1.84486820e-06,
1.84540435e-06, 1.84594062e-06, 1.84647701e-06, 1.84701352e-06,
1.84755016e-06, 1.84808693e-06, 1.84862383e-06, 1.84916086e-06,
1.84969801e-06, 1.85023530e-06, 1.85077273e-06, 1.85131028e-06,
1.85184797e-06, 1.85238580e-06, 1.85292376e-06, 1.85346186e-06,
1.85400010e-06, 1.85453847e-06, 1.85507699e-06, 1.85561565e-06,
1.85615445e-06, 1.85669339e-06, 1.85723247e-06, 1.85777170e-06,
1.85831107e-06, 1.85885059e-06, 1.85939025e-06, 1.85993006e-06,
1.86047001e-06, 1.86101011e-06, 1.86155036e-06, 1.86209076e-06,
1.86263131e-06, 1.86317200e-06, 1.86371285e-06, 1.86425384e-06,
1.86479499e-06]),
moment3_energy=array([], dtype=float64),
moment3_phase=array([], dtype=float64),
moment3_px_over_p0=array([], dtype=float64),
moment3_py_over_p0=array([], dtype=float64),
moment3_x=array([], dtype=float64),
moment3_y=array([], dtype=float64),
moment4_energy=array([], dtype=float64),
moment4_phase=array([], dtype=float64),
moment4_px_over_p0=array([], dtype=float64),
moment4_py_over_p0=array([], dtype=float64),
moment4_x=array([], dtype=float64),
moment4_y=array([], dtype=float64),
n_particle=array([100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000, 100000, 100000, 100000,
100000, 100000, 100000, 100000, 100000]),
norm_emit_x=array([1.94913149e-08, 3.33382069e-08, 5.75883734e-08, 8.36308243e-08,
1.10196486e-07, 1.36974888e-07, 1.63854889e-07, 1.90786346e-07,
2.17742712e-07, 2.44708115e-07, 2.71672078e-07, 2.98627092e-07,
3.25567392e-07, 3.52488292e-07, 3.79385805e-07, 4.06256416e-07,
4.33096944e-07, 4.59904439e-07, 4.86676128e-07, 5.13409375e-07,
5.40101644e-07, 5.66750484e-07, 5.93353513e-07, 6.19908403e-07,
6.46412880e-07, 6.72864720e-07, 6.99261731e-07, 7.25601759e-07,
7.51882678e-07, 7.78102397e-07, 8.04258851e-07, 8.30350007e-07,
8.56373863e-07, 8.82328442e-07, 9.08211799e-07, 9.34022012e-07,
9.59757190e-07, 9.85415473e-07, 1.01099503e-06, 1.03649406e-06,
1.06191078e-06, 1.08724345e-06, 1.11249035e-06, 1.13764981e-06,
1.16272015e-06, 1.18769976e-06, 1.21258703e-06, 1.23738038e-06,
1.26207827e-06, 1.28667918e-06, 1.31118162e-06, 1.33558415e-06,
1.35988533e-06, 1.38408376e-06, 1.40817807e-06, 1.43216691e-06,
1.45604897e-06, 1.47982298e-06, 1.50348771e-06, 1.52704193e-06,
1.55048445e-06, 1.57381412e-06, 1.59702982e-06, 1.62013044e-06,
1.64311494e-06, 1.66598227e-06, 1.68873144e-06, 1.71136148e-06,
1.73387145e-06, 1.75626044e-06, 1.77852759e-06, 1.80067205e-06,
1.82269299e-06, 1.84458966e-06, 1.86636130e-06, 1.88800717e-06,
1.90952655e-06, 1.93091877e-06, 1.95218321e-06, 1.97331922e-06,
1.99432624e-06, 2.01520367e-06, 2.03595098e-06, 2.05656765e-06,
2.07705321e-06, 2.09740720e-06, 2.11762920e-06, 2.13771879e-06,
2.15767561e-06, 2.17749929e-06, 2.19718948e-06, 2.21674587e-06,
2.23616820e-06, 2.25545622e-06, 2.27460972e-06, 2.29362851e-06,
2.31251241e-06, 2.33126125e-06, 2.34987487e-06, 2.36835319e-06,
2.38669609e-06]),
norm_emit_y=array([1.94627249e-07, 1.96450050e-07, 2.01943585e-07, 2.10819323e-07,
2.22670385e-07, 2.37047264e-07, 2.53516184e-07, 2.71691941e-07,
2.91249608e-07, 3.11923386e-07, 3.33499454e-07, 3.55807098e-07,
3.78710215e-07, 4.02100022e-07, 4.25889128e-07, 4.50006869e-07,
4.74395671e-07, 4.99008236e-07, 5.23805397e-07, 5.48754439e-07,
5.73827814e-07, 5.99002129e-07, 6.24257367e-07, 6.49576259e-07,
6.74943797e-07, 7.00346849e-07, 7.25773833e-07, 7.51214468e-07,
7.76659575e-07, 8.02100905e-07, 8.27531001e-07, 8.52943085e-07,
8.78330960e-07, 9.03688936e-07, 9.29011764e-07, 9.54294585e-07,
9.79532873e-07, 1.00472241e-06, 1.02985923e-06, 1.05493962e-06,
1.07996006e-06, 1.10491724e-06, 1.12980802e-06, 1.15462940e-06,
1.17937855e-06, 1.20405276e-06, 1.22864941e-06, 1.25316603e-06,
1.27760023e-06, 1.30194974e-06, 1.32621235e-06, 1.35038595e-06,
1.37446850e-06, 1.39845802e-06, 1.42235263e-06, 1.44615050e-06,
1.46984990e-06, 1.49344915e-06, 1.51694662e-06, 1.54034072e-06,
1.56362993e-06, 1.58681276e-06, 1.60988778e-06, 1.63285361e-06,
1.65570896e-06, 1.67845253e-06, 1.70108308e-06, 1.72359942e-06,
1.74600041e-06, 1.76828495e-06, 1.79045196e-06, 1.81250045e-06,
1.83442943e-06, 1.85623799e-06, 1.87792522e-06, 1.89949023e-06,
1.92093219e-06, 1.94225028e-06, 1.96344376e-06, 1.98451189e-06,
2.00545398e-06, 2.02626934e-06, 2.04695734e-06, 2.06751738e-06,
2.08794889e-06, 2.10825132e-06, 2.12842418e-06, 2.14846697e-06,
2.16837927e-06, 2.18816064e-06, 2.20781068e-06, 2.22732900e-06,
2.24671527e-06, 2.26596918e-06, 2.28509047e-06, 2.30407888e-06,
2.32293416e-06, 2.34165611e-06, 2.36024454e-06, 2.37869929e-06,
2.39702022e-06]),
norm_emit_z=array([1.55337985e-07, 3.53764938e-05, 7.07498063e-05, 1.06117528e-04,
1.41476718e-04, 1.76824504e-04, 2.12158032e-04, 2.47474454e-04,
2.82770932e-04, 3.18044632e-04, 3.53292729e-04, 3.88512409e-04,
4.23700867e-04, 4.58855308e-04, 4.93972952e-04, 5.29051029e-04,
5.64086784e-04, 5.99077476e-04, 6.34020383e-04, 6.68912798e-04,
7.03752032e-04, 7.38535411e-04, 7.73260281e-04, 8.07924009e-04,
8.42523985e-04, 8.77057620e-04, 9.11522344e-04, 9.45915608e-04,
9.80234887e-04, 1.01447769e-03, 1.04864154e-03, 1.08272399e-03,
1.11672262e-03, 1.15063505e-03, 1.18445891e-03, 1.21819186e-03,
1.25183160e-03, 1.28537586e-03, 1.31882239e-03, 1.35216899e-03,
1.38541347e-03, 1.41855368e-03, 1.45158751e-03, 1.48451291e-03,
1.51732781e-03, 1.55003023e-03, 1.58261816e-03, 1.61508966e-03,
1.64744283e-03, 1.67967579e-03, 1.71178671e-03, 1.74377377e-03,
1.77563520e-03, 1.80736927e-03, 1.83897427e-03, 1.87044853e-03,
1.90179044e-03, 1.93299840e-03, 1.96407086e-03, 1.99500629e-03,
2.02580320e-03, 2.05646015e-03, 2.08697572e-03, 2.11734855e-03,
2.14757733e-03, 2.17766075e-03, 2.20759756e-03, 2.23738653e-03,
2.26702649e-03, 2.29651629e-03, 2.32585482e-03, 2.35504102e-03,
2.38407385e-03, 2.41295232e-03, 2.44167548e-03, 2.47024241e-03,
2.49865221e-03, 2.52690405e-03, 2.55499709e-03, 2.58293053e-03,
2.61070362e-03, 2.63831562e-03, 2.66576583e-03, 2.69305359e-03,
2.72017830e-03, 2.74713938e-03, 2.77393623e-03, 2.80056835e-03,
2.82703524e-03, 2.85333643e-03, 2.87947147e-03, 2.90543996e-03,
2.93124151e-03, 2.95687581e-03, 2.98234252e-03, 3.00764139e-03,
3.03277214e-03, 3.05773455e-03, 3.08252840e-03, 3.10715354e-03,
3.13160980e-03]),
phase_ref=array([ 0. , 0.27281627, 0.54563255, 0.81844882, 1.0912651 ,
1.36408137, 1.63689765, 1.90971392, 2.1825302 , 2.45534647,
2.72816275, 3.00097902, 3.27379529, 3.54661157, 3.81942784,
4.09224412, 4.36506039, 4.63787667, 4.91069294, 5.18350922,
5.45632549, 5.72914176, 6.00195804, 6.27477431, 6.54759059,
6.82040686, 7.09322314, 7.36603941, 7.63885569, 7.91167196,
8.18448824, 8.45730451, 8.73012078, 9.00293706, 9.27575333,
9.54856961, 9.82138588, 10.09420216, 10.36701843, 10.63983471,
10.91265098, 11.18546725, 11.45828353, 11.7310998 , 12.00391608,
12.27673235, 12.54954863, 12.8223649 , 13.09518118, 13.36799745,
13.64081373, 13.91363 , 14.18644627, 14.45926255, 14.73207882,
15.0048951 , 15.27771137, 15.55052765, 15.82334392, 16.0961602 ,
16.36897647, 16.64179274, 16.91460902, 17.18742529, 17.46024157,
17.73305784, 18.00587412, 18.27869039, 18.55150667, 18.82432294,
19.09713922, 19.36995549, 19.64277176, 19.91558804, 20.18840431,
20.46122059, 20.73403686, 21.00685314, 21.27966941, 21.55248569,
21.82530196, 22.09811824, 22.37093451, 22.64375078, 22.91656706,
23.18938333, 23.46219961, 23.73501588, 24.00783216, 24.28064843,
24.55346471, 24.82628098, 25.09909725, 25.37191353, 25.6447298 ,
25.91754608, 26.19036235, 26.46317863, 26.7359949 , 27.00881118,
27.28162745]),
sigma_energy=array([9.96573960e-01, 4.85870402e+02, 9.71715875e+02, 1.45751108e+03,
1.94323047e+03, 2.42884869e+03, 2.91434050e+03, 3.39968067e+03,
3.88484405e+03, 4.36980553e+03, 4.85454008e+03, 5.33902272e+03,
5.82322858e+03, 6.30713286e+03, 6.79071085e+03, 7.27393797e+03,
7.75678973e+03, 8.23924176e+03, 8.72126984e+03, 9.20284988e+03,
9.68395792e+03, 1.01645701e+04, 1.06446629e+04, 1.11242126e+04,
1.16031960e+04, 1.20815900e+04, 1.25593715e+04, 1.30365178e+04,
1.35130063e+04, 1.39888145e+04, 1.44639203e+04, 1.49383016e+04,
1.54119368e+04, 1.58848043e+04, 1.63568828e+04, 1.68281511e+04,
1.72985884e+04, 1.77681742e+04, 1.82368881e+04, 1.87047100e+04,
1.91716200e+04, 1.96375987e+04, 2.01026267e+04, 2.05666851e+04,
2.10297552e+04, 2.14918184e+04, 2.19528565e+04, 2.24128517e+04,
2.28717862e+04, 2.33296427e+04, 2.37864042e+04, 2.42420539e+04,
2.46965752e+04, 2.51499520e+04, 2.56021683e+04, 2.60532086e+04,
2.65030575e+04, 2.69517001e+04, 2.73991217e+04, 2.78453078e+04,
2.82902444e+04, 2.87339174e+04, 2.91763136e+04, 2.96174196e+04,
3.00572227e+04, 3.04957102e+04, 3.09328698e+04, 3.13686897e+04,
3.18031580e+04, 3.22362634e+04, 3.26679948e+04, 3.30983416e+04,
3.35272931e+04, 3.39548394e+04, 3.43809705e+04, 3.48056768e+04,
3.52289492e+04, 3.56507785e+04, 3.60711562e+04, 3.64900738e+04,
3.69075231e+04, 3.73234963e+04, 3.77379856e+04, 3.81509840e+04,
3.85624843e+04, 3.89724799e+04, 3.93809643e+04, 3.97879312e+04,
4.01933747e+04, 4.05972893e+04, 4.09996696e+04, 4.14005102e+04,
4.17998063e+04, 4.21975532e+04, 4.25937466e+04, 4.29883824e+04,
4.33814567e+04, 4.37729659e+04, 4.41629065e+04, 4.45512755e+04,
4.49380698e+04]),
sigma_phase_deg=array([0.15587219, 0.15587307, 0.15587571, 0.15588011, 0.15588626,
0.15589417, 0.15590384, 0.15591526, 0.15592844, 0.15594338,
0.15596007, 0.15597852, 0.15599872, 0.15602068, 0.15604439,
0.15606985, 0.15609706, 0.15612603, 0.15615674, 0.1561892 ,
0.15622341, 0.15625936, 0.15629706, 0.1563365 , 0.15637768,
0.15642061, 0.15646527, 0.15651167, 0.15655981, 0.15660968,
0.15666129, 0.15671462, 0.15676969, 0.15682648, 0.156885 ,
0.15694524, 0.15700721, 0.15707089, 0.15713629, 0.1572034 ,
0.15727223, 0.15734277, 0.15741502, 0.15748897, 0.15756463,
0.15764199, 0.15772104, 0.15780179, 0.15788424, 0.15796838,
0.1580542 , 0.15814171, 0.1582309 , 0.15832177, 0.15841432,
0.15850854, 0.15860443, 0.15870199, 0.15880121, 0.15890209,
0.15900463, 0.15910883, 0.15921468, 0.15932217, 0.15943132,
0.1595421 , 0.15965452, 0.15976857, 0.15988426, 0.16000157,
0.16012051, 0.16024107, 0.16036324, 0.16048703, 0.16061243,
0.16073943, 0.16086804, 0.16099824, 0.16113003, 0.16126342,
0.16139839, 0.16153495, 0.16167308, 0.16181279, 0.16195407,
0.16209691, 0.16224132, 0.16238728, 0.1625348 , 0.16268386,
0.16283448, 0.16298663, 0.16314032, 0.16329554, 0.16345229,
0.16361057, 0.16377036, 0.16393167, 0.1640945 , 0.16425882,
0.16442465]),
sigma_px_over_p0=array([9.97187529e-07, 3.13399466e-06, 6.03231337e-06, 8.98269716e-06,
1.19462025e-05, 1.49145268e-05, 1.78847532e-05, 2.08555273e-05,
2.38260842e-05, 2.67959228e-05, 2.97646739e-05, 3.27320408e-05,
3.56977697e-05, 3.86616331e-05, 4.16234209e-05, 4.45829347e-05,
4.75399848e-05, 5.04943879e-05, 5.34459652e-05, 5.63945421e-05,
5.93399470e-05, 6.22820112e-05, 6.52205682e-05, 6.81554536e-05,
7.10865053e-05, 7.40135632e-05, 7.69364690e-05, 7.98550658e-05,
8.27691986e-05, 8.56787144e-05, 8.85834615e-05, 9.14832903e-05,
9.43780529e-05, 9.72676031e-05, 1.00151797e-04, 1.03030491e-04,
1.05903545e-04, 1.08770821e-04, 1.11632181e-04, 1.14487493e-04,
1.17336621e-04, 1.20179435e-04, 1.23015806e-04, 1.25845609e-04,
1.28668718e-04, 1.31485011e-04, 1.34294366e-04, 1.37096664e-04,
1.39891789e-04, 1.42679627e-04, 1.45460065e-04, 1.48232994e-04,
1.50998306e-04, 1.53755895e-04, 1.56505656e-04, 1.59247490e-04,
1.61981295e-04, 1.64706975e-04, 1.67424435e-04, 1.70133583e-04,
1.72834327e-04, 1.75526580e-04, 1.78210254e-04, 1.80885265e-04,
1.83551533e-04, 1.86208976e-04, 1.88857519e-04, 1.91497085e-04,
1.94127602e-04, 1.96748998e-04, 1.99361204e-04, 2.01964152e-04,
2.04557779e-04, 2.07142021e-04, 2.09716820e-04, 2.12282118e-04,
2.14837856e-04, 2.17383982e-04, 2.19920443e-04, 2.22447190e-04,
2.24964173e-04, 2.27471347e-04, 2.29968668e-04, 2.32456094e-04,
2.34933584e-04, 2.37401102e-04, 2.39858608e-04, 2.42306071e-04,
2.44743456e-04, 2.47170736e-04, 2.49587879e-04, 2.51994858e-04,
2.54391649e-04, 2.56778226e-04, 2.59154567e-04, 2.61520654e-04,
2.63876467e-04, 2.66221990e-04, 2.68557206e-04, 2.70882103e-04,
2.73196669e-04]),
sigma_py_over_p0=array([9.98893352e-06, 1.04216612e-05, 1.16259747e-05, 1.33951267e-05,
1.55370251e-05, 1.79180942e-05, 2.04545304e-05, 2.30947125e-05,
2.58063034e-05, 2.85684409e-05, 3.13672222e-05, 3.41930849e-05,
3.70392554e-05, 3.99008041e-05, 4.27740542e-05, 4.56562007e-05,
4.85450593e-05, 5.14388957e-05, 5.43363089e-05, 5.72361482e-05,
6.01374538e-05, 6.30394137e-05, 6.59413313e-05, 6.88426022e-05,
7.17426949e-05, 7.46411382e-05, 7.75375092e-05, 8.04314253e-05,
8.33225371e-05, 8.62105237e-05, 8.90950879e-05, 9.19759527e-05,
9.48528583e-05, 9.77255605e-05, 1.00593828e-04, 1.03457441e-04,
1.06316191e-04, 1.09169876e-04, 1.12018306e-04, 1.14861296e-04,
1.17698669e-04, 1.20530254e-04, 1.23355886e-04, 1.26175406e-04,
1.28988658e-04, 1.31795493e-04, 1.34595765e-04, 1.37389332e-04,
1.40176057e-04, 1.42955805e-04, 1.45728448e-04, 1.48493857e-04,
1.51251910e-04, 1.54002486e-04, 1.56745468e-04, 1.59480743e-04,
1.62208200e-04, 1.64927733e-04, 1.67639237e-04, 1.70342611e-04,
1.73037755e-04, 1.75724571e-04, 1.78402967e-04, 1.81072851e-04,
1.83734136e-04, 1.86386736e-04, 1.89030569e-04, 1.91665553e-04,
1.94291611e-04, 1.96908666e-04, 1.99516646e-04, 2.02115480e-04,
2.04705098e-04, 2.07285436e-04, 2.09856430e-04, 2.12418018e-04,
2.14970139e-04, 2.17512737e-04, 2.20045758e-04, 2.22569148e-04,
2.25082855e-04, 2.27586830e-04, 2.30081027e-04, 2.32565402e-04,
2.35039913e-04, 2.37504519e-04, 2.39959183e-04, 2.42403867e-04,
2.44838539e-04, 2.47263167e-04, 2.49677718e-04, 2.52082163e-04,
2.54476475e-04, 2.56860627e-04, 2.59234597e-04, 2.61598364e-04,
2.63951907e-04, 2.66295209e-04, 2.68628254e-04, 2.70951025e-04,
2.73263510e-04]),
sigma_x=array([0.00100014, 0.00100015, 0.00100019, 0.00100025, 0.00100035,
0.00100046, 0.00100061, 0.00100078, 0.00100098, 0.0010012 ,
0.00100145, 0.00100173, 0.00100203, 0.00100236, 0.00100272,
0.0010031 , 0.0010035 , 0.00100394, 0.0010044 , 0.00100489,
0.0010054 , 0.00100594, 0.0010065 , 0.00100709, 0.00100771,
0.00100836, 0.00100903, 0.00100972, 0.00101044, 0.00101119,
0.00101196, 0.00101276, 0.00101359, 0.00101444, 0.00101532,
0.00101622, 0.00101715, 0.00101811, 0.00101909, 0.0010201 ,
0.00102113, 0.00102219, 0.00102327, 0.00102438, 0.00102552,
0.00102668, 0.00102787, 0.00102908, 0.00103032, 0.00103158,
0.00103287, 0.00103418, 0.00103552, 0.00103689, 0.00103828,
0.00103969, 0.00104113, 0.0010426 , 0.00104409, 0.00104561,
0.00104715, 0.00104871, 0.00105031, 0.00105192, 0.00105356,
0.00105523, 0.00105692, 0.00105863, 0.00106037, 0.00106214,
0.00106392, 0.00106574, 0.00106757, 0.00106944, 0.00107132,
0.00107323, 0.00107517, 0.00107713, 0.00107911, 0.00108112,
0.00108315, 0.0010852 , 0.00108728, 0.00108938, 0.00109151,
0.00109366, 0.00109583, 0.00109803, 0.00110025, 0.00110249,
0.00110476, 0.00110705, 0.00110937, 0.0011117 , 0.00111406,
0.00111645, 0.00111885, 0.00112128, 0.00112373, 0.00112621,
0.00112871]),
sigma_y=array([0.00099695, 0.00099696, 0.000997 , 0.00099707, 0.00099716,
0.00099728, 0.00099742, 0.00099759, 0.00099779, 0.00099801,
0.00099826, 0.00099854, 0.00099884, 0.00099917, 0.00099953,
0.00099991, 0.00100031, 0.00100075, 0.00100121, 0.00100169,
0.00100221, 0.00100274, 0.00100331, 0.0010039 , 0.00100452,
0.00100516, 0.00100583, 0.00100652, 0.00100724, 0.00100799,
0.00100876, 0.00100956, 0.00101039, 0.00101124, 0.00101211,
0.00101302, 0.00101394, 0.0010149 , 0.00101588, 0.00101688,
0.00101792, 0.00101897, 0.00102006, 0.00102116, 0.0010223 ,
0.00102346, 0.00102464, 0.00102585, 0.00102709, 0.00102835,
0.00102964, 0.00103095, 0.00103229, 0.00103365, 0.00103504,
0.00103645, 0.00103789, 0.00103936, 0.00104084, 0.00104236,
0.0010439 , 0.00104546, 0.00104705, 0.00104866, 0.0010503 ,
0.00105197, 0.00105365, 0.00105537, 0.0010571 , 0.00105887,
0.00106065, 0.00106246, 0.0010643 , 0.00106616, 0.00106804,
0.00106995, 0.00107188, 0.00107384, 0.00107582, 0.00107782,
0.00107985, 0.0010819 , 0.00108398, 0.00108608, 0.0010882 ,
0.00109035, 0.00109252, 0.00109472, 0.00109693, 0.00109918,
0.00110144, 0.00110373, 0.00110604, 0.00110837, 0.00111073,
0.00111311, 0.00111552, 0.00111794, 0.00112039, 0.00112286,
0.00112536]),
twiss_alpha_x=array([ 0.00555899, -1.54158678, -1.78679136, -1.84630788, -1.86871528,
-1.87956952, -1.88578283, -1.88981648, -1.89271886, -1.89499634,
-1.89691738, -1.8986349 , -1.90024107, -1.90179415, -1.90333238,
-1.90488168, -1.90646012, -1.90808061, -1.90975254, -1.9114829 ,
-1.91327695, -1.91513873, -1.91707133, -1.91907722, -1.92115831,
-1.92331615, -1.92555195, -1.92786672, -1.93026129, -1.93273631,
-1.93529236, -1.93792988, -1.94064925, -1.94345076, -1.94633467,
-1.94930119, -1.95235048, -1.95548268, -1.95869789, -1.96199617,
-1.96537758, -1.96884218, -1.97238997, -1.97602096, -1.97973514,
-1.98353251, -1.98741303, -1.99137669, -1.99542344, -1.99955326,
-2.00376612, -2.00806196, -2.01244074, -2.0169024 , -2.02144691,
-2.02607422, -2.03078425, -2.03557694, -2.0404522 , -2.04540997,
-2.05045017, -2.05557273, -2.06077756, -2.06606459, -2.07143371,
-2.07688487, -2.08241796, -2.08803289, -2.09372957, -2.09950789,
-2.10536775, -2.11130905, -2.11733168, -2.12343552, -2.12962048,
-2.13588648, -2.14223342, -2.14866121, -2.15516974, -2.16175892,
-2.16842865, -2.17517885, -2.18200944, -2.18892033, -2.19591143,
-2.20298262, -2.21013382, -2.21736493, -2.22467587, -2.23206656,
-2.23953693, -2.24708689, -2.25471634, -2.26242517, -2.27021327,
-2.27808051, -2.28602682, -2.29405213, -2.30215635, -2.31033938,
-2.31860114]),
twiss_alpha_y=array([-7.11741757e-04, -2.61611608e-01, -5.08316723e-01, -7.30076329e-01,
-9.21473726e-01, -1.08191944e+00, -1.21396669e+00, -1.32160705e+00,
-1.40909370e+00, -1.48032121e+00, -1.53859027e+00, -1.58658217e+00,
-1.62642544e+00, -1.65979042e+00, -1.68798219e+00, -1.71202047e+00,
-1.73270432e+00, -1.75066281e+00, -1.76639397e+00, -1.78029452e+00,
-1.79268263e+00, -1.80381506e+00, -1.81390045e+00, -1.82310939e+00,
-1.83158224e+00, -1.83943518e+00, -1.84676495e+00, -1.85365251e+00,
-1.86016601e+00, -1.86636307e+00, -1.87229266e+00, -1.87799659e+00,
-1.88351070e+00, -1.88886587e+00, -1.89408875e+00, -1.89920248e+00,
-1.90422720e+00, -1.90918050e+00, -1.91407778e+00, -1.91893262e+00,
-1.92375695e+00, -1.92856136e+00, -1.93335520e+00, -1.93814680e+00,
-1.94294356e+00, -1.94775211e+00, -1.95257837e+00, -1.95742767e+00,
-1.96230477e+00, -1.96721396e+00, -1.97215911e+00, -1.97714373e+00,
-1.98217100e+00, -1.98724380e+00, -1.99236473e+00, -1.99753616e+00,
-2.00276022e+00, -2.00803885e+00, -2.01337384e+00, -2.01876681e+00,
-2.02421928e+00, -2.02973262e+00, -2.03530808e+00, -2.04094681e+00,
-2.04664985e+00, -2.05241817e+00, -2.05825267e+00, -2.06415415e+00,
-2.07012337e+00, -2.07616102e+00, -2.08226770e+00, -2.08844400e+00,
-2.09469042e+00, -2.10100743e+00, -2.10739547e+00, -2.11385498e+00,
-2.12038635e+00, -2.12698992e+00, -2.13366601e+00, -2.14041492e+00,
-2.14723690e+00, -2.15413220e+00, -2.16110108e+00, -2.16814374e+00,
-2.17526036e+00, -2.18245114e+00, -2.18971623e+00, -2.19705576e+00,
-2.20446988e+00, -2.21195872e+00, -2.21952237e+00, -2.22716097e+00,
-2.23487458e+00, -2.24266325e+00, -2.25052705e+00, -2.25846604e+00,
-2.26648028e+00, -2.27456983e+00, -2.28273472e+00, -2.29097498e+00,
-2.29929065e+00]),
twiss_alpha_z=array([ 1.54508610e-03, -1.89289159e+00, -1.89297930e+00, -1.89310721e+00,
-1.89328416e+00, -1.89351118e+00, -1.89378850e+00, -1.89411620e+00,
-1.89449429e+00, -1.89492277e+00, -1.89540164e+00, -1.89593087e+00,
-1.89651045e+00, -1.89714035e+00, -1.89782054e+00, -1.89855100e+00,
-1.89933168e+00, -1.90016257e+00, -1.90104361e+00, -1.90197477e+00,
-1.90295600e+00, -1.90398727e+00, -1.90506853e+00, -1.90619974e+00,
-1.90738084e+00, -1.90861178e+00, -1.90989251e+00, -1.91122298e+00,
-1.91260315e+00, -1.91403296e+00, -1.91551233e+00, -1.91704122e+00,
-1.91861955e+00, -1.92024727e+00, -1.92192430e+00, -1.92365058e+00,
-1.92542603e+00, -1.92725057e+00, -1.92912413e+00, -1.93104663e+00,
-1.93301802e+00, -1.93503818e+00, -1.93710705e+00, -1.93922452e+00,
-1.94139050e+00, -1.94360490e+00, -1.94586763e+00, -1.94817862e+00,
-1.95053777e+00, -1.95294498e+00, -1.95540017e+00, -1.95790323e+00,
-1.96045408e+00, -1.96305264e+00, -1.96569880e+00, -1.96839249e+00,
-1.97113360e+00, -1.97392203e+00, -1.97675768e+00, -1.97964047e+00,
-1.98257030e+00, -1.98554708e+00, -1.98857072e+00, -1.99164108e+00,
-1.99475806e+00, -1.99792155e+00, -2.00113146e+00, -2.00438767e+00,
-2.00769006e+00, -2.01103854e+00, -2.01443298e+00, -2.01787325e+00,
-2.02135927e+00, -2.02489090e+00, -2.02846803e+00, -2.03209052e+00,
-2.03575827e+00, -2.03947115e+00, -2.04322906e+00, -2.04703188e+00,
-2.05087952e+00, -2.05477186e+00, -2.05870880e+00, -2.06269023e+00,
-2.06671602e+00, -2.07078606e+00, -2.07490025e+00, -2.07905847e+00,
-2.08326061e+00, -2.08750657e+00, -2.09179624e+00, -2.09612952e+00,
-2.10050629e+00, -2.10492643e+00, -2.10938983e+00, -2.11389638e+00,
-2.11844596e+00, -2.12303849e+00, -2.12767384e+00, -2.13235190e+00,
-2.13707259e+00]),
z=array([0. , 0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09, 0.1 ,
0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19, 0.2 , 0.21,
0.22, 0.23, 0.24, 0.25, 0.26, 0.27, 0.28, 0.29, 0.3 , 0.31, 0.32,
0.33, 0.34, 0.35, 0.36, 0.37, 0.38, 0.39, 0.4 , 0.41, 0.42, 0.43,
0.44, 0.45, 0.46, 0.47, 0.48, 0.49, 0.5 , 0.51, 0.52, 0.53, 0.54,
0.55, 0.56, 0.57, 0.58, 0.59, 0.6 , 0.61, 0.62, 0.63, 0.64, 0.65,
0.66, 0.67, 0.68, 0.69, 0.7 , 0.71, 0.72, 0.73, 0.74, 0.75, 0.76,
0.77, 0.78, 0.79, 0.8 , 0.81, 0.82, 0.83, 0.84, 0.85, 0.86, 0.87,
0.88, 0.89, 0.9 , 0.91, 0.92, 0.93, 0.94, 0.95, 0.96, 0.97, 0.98,
0.99, 1. ]),
max_abs_x=array([0.00434418, 0.00434419, 0.00434421, 0.00434426, 0.00434432,
0.0043444 , 0.0043445 , 0.00434462, 0.00434475, 0.0043449 ,
0.00434507, 0.00434525, 0.00434546, 0.00434568, 0.00434592,
0.00434617, 0.00434645, 0.00434674, 0.00434704, 0.00434737,
0.00434771, 0.00434807, 0.00434845, 0.00434885, 0.00434926,
0.00434969, 0.00435014, 0.0043506 , 0.00435109, 0.00435159,
0.0043521 , 0.00435264, 0.00435319, 0.00435376, 0.00435435,
0.00435495, 0.00435558, 0.00435622, 0.00435687, 0.00435755,
0.00435824, 0.00435895, 0.00435968, 0.00436042, 0.00436118,
0.00436196, 0.00436276, 0.00436357, 0.0043644 , 0.00436525,
0.00436611, 0.004367 , 0.0043679 , 0.00436881, 0.00436975,
0.0043707 , 0.00437167, 0.00437266, 0.00437366, 0.00437468,
0.00437572, 0.00437678, 0.00437785, 0.00437894, 0.00438005,
0.00438117, 0.00438231, 0.00438347, 0.00438465, 0.00438584,
0.00438705, 0.00438828, 0.00438952, 0.00439078, 0.00439206,
0.00439336, 0.00439467, 0.004396 , 0.00439735, 0.00439871,
0.0044001 , 0.00440149, 0.00440291, 0.00440434, 0.00440579,
0.00440726, 0.00440874, 0.00441024, 0.00441176, 0.00441329,
0.00441485, 0.00441641, 0.004418 , 0.0044196 , 0.00442122,
0.00442286, 0.00442451, 0.00442618, 0.00442786, 0.00442957,
0.00443129]),
max_abs_px_over_p0=array([], dtype=float64),
max_abs_y=array([0.00439845, 0.00439847, 0.00439851, 0.00439856, 0.00439863,
0.00439873, 0.00439884, 0.00439896, 0.00439911, 0.00439928,
0.00439946, 0.00439966, 0.00439988, 0.00440012, 0.00440037,
0.00440065, 0.00440094, 0.00440125, 0.00440158, 0.00440193,
0.00440229, 0.00440268, 0.00440308, 0.0044035 , 0.00440394,
0.00440439, 0.00440487, 0.00440536, 0.00440587, 0.0044064 ,
0.00440695, 0.00440752, 0.0044081 , 0.0044087 , 0.00440932,
0.00440996, 0.00441062, 0.00441129, 0.00441198, 0.00441269,
0.00441342, 0.00441417, 0.00441494, 0.00441572, 0.00441652,
0.00441734, 0.00441818, 0.00441903, 0.00441991, 0.0044208 ,
0.00442171, 0.00442264, 0.00442358, 0.00442455, 0.00442553,
0.00442653, 0.00442755, 0.00442858, 0.00442964, 0.00443071,
0.0044318 , 0.00443291, 0.00443403, 0.00443518, 0.00443634,
0.00443752, 0.00443872, 0.00443993, 0.00444117, 0.00444242,
0.00444369, 0.00444497, 0.00444628, 0.0044476 , 0.00444894,
0.0044503 , 0.00445168, 0.00445307, 0.00445448, 0.00445591,
0.00445736, 0.00445882, 0.00446031, 0.00446181, 0.00446333,
0.00446486, 0.00446642, 0.00446799, 0.00446958, 0.00447118,
0.00447281, 0.00447445, 0.00447611, 0.00447778, 0.00447948,
0.00448119, 0.00448292, 0.00448467, 0.00448643, 0.00448821,
0.00449001]),
max_abs_py_over_p0=array([], dtype=float64),
max_phase=array([0.87528356, 0.87528373, 0.87528422, 0.87528504, 0.87528619,
0.87528767, 0.87528947, 0.87529161, 0.87529407, 0.87529687,
0.87529999, 0.87530344, 0.87530721, 0.87531132, 0.87531575,
0.87532052, 0.87532561, 0.87533103, 0.87533678, 0.87534285,
0.87534926, 0.87535599, 0.87536305, 0.87537044, 0.87537816,
0.87538621, 0.87539458, 0.87540329, 0.87541232, 0.87542168,
0.87543137, 0.87544139, 0.87545173, 0.87546241, 0.87547341,
0.87548474, 0.8754964 , 0.87550839, 0.8755207 , 0.87553335,
0.87554632, 0.87555962, 0.87557325, 0.8755872 , 0.87560149,
0.8756161 , 0.87563104, 0.87564631, 0.87566191, 0.87567784,
0.87569409, 0.87571067, 0.87572759, 0.87574482, 0.87576239,
0.87578029, 0.87579851, 0.87581706, 0.87583594, 0.87585515,
0.87587469, 0.87589455, 0.87591474, 0.87593526, 0.87595611,
0.87597729, 0.8759988 , 0.87602063, 0.87604279, 0.87606528,
0.8760881 , 0.87611124, 0.87613471, 0.87615852, 0.87618265,
0.8762071 , 0.87623189, 0.876257 , 0.87628244, 0.87630821,
0.87633431, 0.87636074, 0.87638749, 0.87641457, 0.87644198,
0.87646972, 0.87649778, 0.87652618, 0.8765549 , 0.87658395,
0.87661332, 0.87664303, 0.87667306, 0.87670342, 0.87673411,
0.87676513, 0.87679647, 0.87682814, 0.87686014, 0.87689247,
0.87692512]),
max_energy_dev=array([], dtype=float64),
mean_r=array([0.00125153, 0.00125155, 0.00125161, 0.00125171, 0.00125185,
0.00125202, 0.00125224, 0.00125249, 0.00125279, 0.00125312,
0.00125349, 0.0012539 , 0.00125435, 0.00125484, 0.00125537,
0.00125593, 0.00125654, 0.00125719, 0.00125787, 0.00125859,
0.00125935, 0.00126015, 0.00126099, 0.00126187, 0.00126278,
0.00126374, 0.00126473, 0.00126576, 0.00126683, 0.00126794,
0.00126908, 0.00127027, 0.00127149, 0.00127275, 0.00127405,
0.00127538, 0.00127676, 0.00127817, 0.00127962, 0.00128111,
0.00128263, 0.00128419, 0.00128579, 0.00128743, 0.00128911,
0.00129082, 0.00129257, 0.00129435, 0.00129617, 0.00129803,
0.00129993, 0.00130186, 0.00130383, 0.00130583, 0.00130787,
0.00130995, 0.00131207, 0.00131422, 0.0013164 , 0.00131862,
0.00132088, 0.00132317, 0.0013255 , 0.00132786, 0.00133026,
0.0013327 , 0.00133516, 0.00133767, 0.00134021, 0.00134278,
0.00134539, 0.00134803, 0.0013507 , 0.00135341, 0.00135616,
0.00135894, 0.00136175, 0.0013646 , 0.00136747, 0.00137039,
0.00137333, 0.00137631, 0.00137933, 0.00138237, 0.00138545,
0.00138856, 0.0013917 , 0.00139488, 0.00139809, 0.00140133,
0.0014046 , 0.0014079 , 0.00141124, 0.0014146 , 0.001418 ,
0.00142143, 0.00142489, 0.00142839, 0.00143191, 0.00143547,
0.00143905]),
sigma_r=array([0.00065409, 0.0006541 , 0.0006541 , 0.00065412, 0.00065414,
0.00065416, 0.00065419, 0.00065423, 0.00065427, 0.00065431,
0.00065437, 0.00065442, 0.00065449, 0.00065456, 0.00065463,
0.00065471, 0.00065479, 0.00065489, 0.00065498, 0.00065508,
0.00065519, 0.0006553 , 0.00065542, 0.00065555, 0.00065568,
0.00065582, 0.00065596, 0.00065611, 0.00065626, 0.00065642,
0.00065658, 0.00065676, 0.00065693, 0.00065712, 0.00065731,
0.0006575 , 0.0006577 , 0.00065791, 0.00065812, 0.00065834,
0.00065857, 0.0006588 , 0.00065904, 0.00065929, 0.00065954,
0.0006598 , 0.00066006, 0.00066033, 0.00066061, 0.00066089,
0.00066118, 0.00066148, 0.00066179, 0.0006621 , 0.00066242,
0.00066274, 0.00066307, 0.00066341, 0.00066376, 0.00066411,
0.00066447, 0.00066484, 0.00066521, 0.00066559, 0.00066598,
0.00066638, 0.00066678, 0.00066719, 0.00066761, 0.00066804,
0.00066847, 0.00066891, 0.00066936, 0.00066982, 0.00067028,
0.00067075, 0.00067123, 0.00067172, 0.00067222, 0.00067272,
0.00067323, 0.00067375, 0.00067428, 0.00067482, 0.00067536,
0.00067591, 0.00067647, 0.00067704, 0.00067762, 0.00067821,
0.0006788 , 0.00067941, 0.00068002, 0.00068064, 0.00068127,
0.00068191, 0.00068255, 0.00068321, 0.00068387, 0.00068455,
0.00068523]),
mean_r_90percent=array([0.00214606, 0.00214606, 0.00214612, 0.0021463 , 0.00214647,
0.0021466 , 0.0021468 , 0.00214721, 0.00214745, 0.00214794,
0.00214832, 0.00214882, 0.00214926, 0.0021497 , 0.00215036,
0.00215112, 0.00215157, 0.00215232, 0.00215298, 0.00215389,
0.00215471, 0.0021554 , 0.0021563 , 0.00215703, 0.00215794,
0.00215879, 0.0021601 , 0.00216151, 0.00216254, 0.00216389,
0.0021653 , 0.00216648, 0.00216777, 0.00216938, 0.00217078,
0.00217226, 0.00217388, 0.00217535, 0.00217669, 0.00217837,
0.00218003, 0.00218168, 0.00218358, 0.00218503, 0.00218696,
0.00218855, 0.00219055, 0.00219275, 0.00219495, 0.00219688,
0.00219916, 0.00220134, 0.00220349, 0.00220583, 0.00220788,
0.00220993, 0.00221215, 0.00221421, 0.00221713, 0.00221949,
0.00222175, 0.00222494, 0.00222753, 0.00223046, 0.00223309,
0.00223558, 0.00223805, 0.00224096, 0.00224405, 0.00224673,
0.00225018, 0.00225284, 0.00225599, 0.00225925, 0.00226221,
0.00226524, 0.00226826, 0.00227208, 0.002275 , 0.00227825,
0.00228194, 0.00228528, 0.00228816, 0.00229151, 0.00229519,
0.00229878, 0.00230254, 0.00230637, 0.00231038, 0.00231382,
0.00231772, 0.00232157, 0.00232549, 0.00232885, 0.00233297,
0.00233656, 0.00234095, 0.00234511, 0.00234915, 0.0023534 ,
0.0023575 ]),
mean_r_95percent=array([0.00244318, 0.00244321, 0.00244327, 0.00244329, 0.00244345,
0.00244367, 0.00244385, 0.00244412, 0.0024442 , 0.0024444 ,
0.00244464, 0.00244516, 0.00244582, 0.00244623, 0.00244681,
0.00244742, 0.00244789, 0.0024483 , 0.00244883, 0.00244935,
0.00245035, 0.0024511 , 0.00245198, 0.00245283, 0.00245347,
0.00245443, 0.00245541, 0.00245604, 0.00245722, 0.00245834,
0.0024596 , 0.00246084, 0.0024626 , 0.00246377, 0.00246507,
0.00246622, 0.00246779, 0.00246918, 0.00247054, 0.00247184,
0.00247338, 0.00247515, 0.00247648, 0.00247777, 0.00247931,
0.00248123, 0.00248312, 0.00248449, 0.00248675, 0.00248876,
0.00249017, 0.00249245, 0.00249483, 0.002497 , 0.00249927,
0.00250146, 0.0025033 , 0.00250544, 0.00250819, 0.00250995,
0.00251233, 0.00251452, 0.00251679, 0.00251925, 0.00252158,
0.00252444, 0.00252743, 0.00252959, 0.00253238, 0.00253516,
0.0025383 , 0.00254094, 0.00254332, 0.00254575, 0.00254846,
0.0025513 , 0.00255398, 0.00255741, 0.00256083, 0.00256408,
0.00256723, 0.00257022, 0.00257381, 0.00257678, 0.00257968,
0.00258297, 0.00258662, 0.00258999, 0.00259339, 0.00259717,
0.00260075, 0.00260329, 0.00260698, 0.00261154, 0.00261467,
0.00261839, 0.00262239, 0.0026265 , 0.00262939, 0.00263356,
0.0026374 ]),
mean_r_99percent=array([0.0030248 , 0.00302484, 0.00302489, 0.00302494, 0.00302502,
0.0030251 , 0.00302533, 0.00302544, 0.0030257 , 0.00302609,
0.00302623, 0.0030267 , 0.00302687, 0.00302717, 0.00302759,
0.0030281 , 0.00302851, 0.00302915, 0.00302982, 0.00303007,
0.00303044, 0.00303081, 0.0030311 , 0.00303163, 0.00303217,
0.00303297, 0.00303331, 0.0030345 , 0.00303583, 0.00303729,
0.00303806, 0.00303914, 0.00303989, 0.00304165, 0.00304311,
0.00304357, 0.00304503, 0.00304699, 0.00304905, 0.00304975,
0.00305103, 0.00305207, 0.0030529 , 0.00305414, 0.00305558,
0.00305634, 0.00305839, 0.00305939, 0.00306056, 0.00306147,
0.00306284, 0.00306423, 0.00306553, 0.00306669, 0.00306916,
0.00307095, 0.00307274, 0.00307472, 0.00307781, 0.00308027,
0.00308226, 0.00308456, 0.00308596, 0.00308686, 0.00308855,
0.00309022, 0.00309202, 0.00309295, 0.00309511, 0.00309757,
0.00309954, 0.00310211, 0.00310477, 0.00310651, 0.00310926,
0.00311301, 0.00311578, 0.00311754, 0.00311889, 0.00312121,
0.00312255, 0.00312453, 0.00312725, 0.00312896, 0.00313098,
0.00313486, 0.00313859, 0.00314135, 0.00314472, 0.00314781,
0.00315084, 0.0031538 , 0.00315551, 0.00315894, 0.00316086,
0.00316347, 0.0031662 , 0.00316885, 0.00317339, 0.00317742,
0.00318028]),
max_r_rel=array([0.00449539, 0.00449544, 0.00449551, 0.0044956 , 0.00449571,
0.00449583, 0.00449597, 0.00449613, 0.00449631, 0.00449651,
0.00449672, 0.00449696, 0.00449721, 0.00449748, 0.00449776,
0.00449807, 0.00449839, 0.00449873, 0.00449909, 0.00449947,
0.00449987, 0.00450028, 0.00450071, 0.00450116, 0.00450163,
0.00450212, 0.00450262, 0.00450314, 0.00450368, 0.00450424,
0.00450482, 0.00450541, 0.00450603, 0.00450666, 0.00450731,
0.00450797, 0.00450866, 0.00450936, 0.00451008, 0.00451082,
0.00451158, 0.00451235, 0.00451314, 0.00451395, 0.00451478,
0.00451563, 0.0045165 , 0.00451738, 0.00451828, 0.0045192 ,
0.00452013, 0.00452109, 0.00452206, 0.00452305, 0.00452406,
0.00452509, 0.00452613, 0.00452719, 0.00452827, 0.00452937,
0.00453049, 0.00453162, 0.00453277, 0.00453394, 0.00453513,
0.00453633, 0.00453756, 0.0045388 , 0.00454005, 0.00454133,
0.00454262, 0.00454394, 0.00454527, 0.00454661, 0.00454798,
0.00454936, 0.00455076, 0.00455218, 0.00455361, 0.00455507,
0.00455654, 0.00455803, 0.00455953, 0.00456106, 0.0045626 ,
0.00456416, 0.00456574, 0.00456733, 0.00456894, 0.00457057,
0.00457222, 0.00457388, 0.00457556, 0.00457726, 0.00457898,
0.00458072, 0.00458247, 0.00458424, 0.00458602, 0.00458783,
0.00458965]),
max_abs_gammabeta_x=array([8.51992477e-05, 1.76888456e-04, 2.96323339e-04, 4.15741900e-04,
5.35136123e-04, 6.54498008e-04, 7.73819552e-04, 8.93092786e-04,
1.01425957e-03, 1.13559492e-03, 1.25685200e-03, 1.37802229e-03,
1.49909726e-03, 1.62006847e-03, 1.74092755e-03, 1.86166610e-03,
1.98227601e-03, 2.10274906e-03, 2.22307711e-03, 2.34325224e-03,
2.46326643e-03, 2.58311168e-03, 2.70278005e-03, 2.82226372e-03,
2.94155492e-03, 3.06064586e-03, 3.17952873e-03, 3.29819571e-03,
3.41663944e-03, 3.53485273e-03, 3.65282862e-03, 3.77055959e-03,
3.88803850e-03, 4.00525862e-03, 4.12221340e-03, 4.23889603e-03,
4.35530007e-03, 4.47141905e-03, 4.58724657e-03, 4.70277643e-03,
4.81800245e-03, 4.93291852e-03, 5.04751891e-03, 5.16179771e-03,
5.27574933e-03, 5.38936843e-03, 5.50264996e-03, 5.61558866e-03,
5.72817939e-03, 5.84041764e-03, 5.95229911e-03, 6.06381961e-03,
6.17497523e-03, 6.28576234e-03, 6.39617708e-03, 6.50621664e-03,
6.61587813e-03, 6.72515810e-03, 6.83405340e-03, 6.94256086e-03,
7.05067698e-03, 7.15839861e-03, 7.26572324e-03, 7.37264818e-03,
7.47917012e-03, 7.58528651e-03, 7.69099496e-03, 7.79629342e-03,
7.90117938e-03, 8.00565134e-03, 8.10970761e-03, 8.21334571e-03,
8.31656395e-03, 8.41935997e-03, 8.52173263e-03, 8.62368118e-03,
8.72520443e-03, 8.82630219e-03, 8.92697457e-03, 9.02722011e-03,
9.12703818e-03, 9.22642870e-03, 9.32539156e-03, 9.42392588e-03,
9.52203141e-03, 9.61970747e-03, 9.71695259e-03, 9.81376692e-03,
9.91015043e-03, 1.00065857e-02, 1.01035304e-02, 1.02000689e-02,
1.02961552e-02, 1.03917458e-02, 1.04868414e-02, 1.05814441e-02,
1.06755553e-02, 1.07691752e-02, 1.08623025e-02, 1.09549383e-02,
1.10470838e-02]),
max_abs_gammabeta_y=array([0.00082219, 0.00090005, 0.00097791, 0.00105577, 0.00115497,
0.00126557, 0.00137615, 0.00148712, 0.0016008 , 0.00171442,
0.001828 , 0.00194151, 0.00205495, 0.00216832, 0.0022816 ,
0.0023948 , 0.0025079 , 0.00262091, 0.0027338 , 0.00284658,
0.00295924, 0.00307177, 0.00318417, 0.00329643, 0.00340855,
0.00352051, 0.00363232, 0.00374397, 0.00385544, 0.00396675,
0.00407787, 0.00418881, 0.00429956, 0.00441012, 0.00452605,
0.0046419 , 0.00475747, 0.00487275, 0.00498773, 0.00510241,
0.00521679, 0.00533086, 0.00544461, 0.00555803, 0.00567113,
0.0057839 , 0.00589633, 0.00600842, 0.00612016, 0.00623155,
0.00634258, 0.00645325, 0.00656356, 0.0066735 , 0.00678306,
0.00689225, 0.00700106, 0.00710948, 0.00721752, 0.00732516,
0.00743241, 0.00753926, 0.00764572, 0.00775178, 0.00785743,
0.00796268, 0.00806751, 0.00817194, 0.00827596, 0.00837957,
0.00848276, 0.00858554, 0.0086879 , 0.00878985, 0.00889138,
0.00899249, 0.00909319, 0.00919347, 0.00929333, 0.00939277,
0.00949179, 0.00959039, 0.00968857, 0.00978633, 0.00988367,
0.00998059, 0.01007709, 0.01017317, 0.01026883, 0.01036407,
0.0104589 , 0.01055331, 0.0106473 , 0.01074088, 0.01083404,
0.01092679, 0.01102019, 0.01111353, 0.01120644, 0.01129895,
0.01139104]),
max_gamma_rel=array([7.90267869e-06, 1.76367101e-03, 3.52648844e-03, 5.28906887e-03,
7.05129992e-03, 8.81306924e-03, 1.05742648e-02, 1.23347748e-02,
1.40944877e-02, 1.58532924e-02, 1.76110781e-02, 1.93677339e-02,
2.11231498e-02, 2.28772163e-02, 2.46298240e-02, 2.63808637e-02,
2.81302279e-02, 2.98778088e-02, 3.16234992e-02, 3.33671925e-02,
3.51087834e-02, 3.68481667e-02, 3.85852385e-02, 4.03198952e-02,
4.20520352e-02, 4.37815557e-02, 4.55083567e-02, 4.72323389e-02,
4.89534042e-02, 5.06714574e-02, 5.23864010e-02, 5.40981403e-02,
5.58065823e-02, 5.75116334e-02, 5.92131989e-02, 6.09111888e-02,
6.26055143e-02, 6.42960876e-02, 6.59828195e-02, 6.76656251e-02,
6.93444182e-02, 7.10191161e-02, 7.26896363e-02, 7.43558970e-02,
7.60178148e-02, 7.76753117e-02, 7.93283139e-02, 8.09767504e-02,
8.26205512e-02, 8.42596410e-02, 8.58939471e-02, 8.75234001e-02,
8.91479300e-02, 9.07674680e-02, 9.23819508e-02, 9.39913161e-02,
9.55955050e-02, 9.71944586e-02, 9.87881168e-02, 1.00376426e-01,
1.01985041e-01, 1.03590996e-01, 1.05192633e-01, 1.06789910e-01,
1.08382780e-01, 1.09971203e-01, 1.11555137e-01, 1.13134539e-01,
1.14709367e-01, 1.16279585e-01, 1.17845152e-01, 1.19406030e-01,
1.20962182e-01, 1.22513575e-01, 1.24060170e-01, 1.25601926e-01,
1.27138803e-01, 1.28670772e-01, 1.30197800e-01, 1.31719855e-01,
1.33236911e-01, 1.34748941e-01, 1.36255081e-01, 1.37755290e-01,
1.39249534e-01, 1.40737787e-01, 1.42220022e-01, 1.43696216e-01,
1.45166343e-01, 1.46630375e-01, 1.48088283e-01, 1.49540038e-01,
1.50985612e-01, 1.52424982e-01, 1.53858124e-01, 1.55285020e-01,
1.56705654e-01, 1.58120012e-01, 1.59528080e-01, 1.60929848e-01,
1.62325309e-01]),
norm_emit_x_90percent=array([1.45337291e-08, 2.18684860e-08, 3.58182692e-08, 5.11679572e-08,
6.71048749e-08, 8.31526977e-08, 9.92776002e-08, 1.15489944e-07,
1.31677785e-07, 1.47909524e-07, 1.64120174e-07, 1.80470454e-07,
1.96690340e-07, 2.12818529e-07, 2.29050013e-07, 2.45223672e-07,
2.61437591e-07, 2.77546112e-07, 2.93713057e-07, 3.09853518e-07,
3.25913954e-07, 3.41870109e-07, 3.57926376e-07, 3.73873568e-07,
3.89685815e-07, 4.05621434e-07, 4.21318807e-07, 4.37207168e-07,
4.52928602e-07, 4.68708956e-07, 4.84345998e-07, 5.00098353e-07,
5.15777542e-07, 5.31570842e-07, 5.47106749e-07, 5.62582050e-07,
5.78115478e-07, 5.93570700e-07, 6.08822367e-07, 6.24271703e-07,
6.39527396e-07, 6.54647825e-07, 6.69679516e-07, 6.84759425e-07,
6.99800953e-07, 7.14661218e-07, 7.29668056e-07, 7.44574710e-07,
7.59210223e-07, 7.73851396e-07, 7.88449017e-07, 8.02929807e-07,
8.17366993e-07, 8.31801338e-07, 8.46133025e-07, 8.60299070e-07,
8.74589706e-07, 8.88739520e-07, 9.02984620e-07, 9.16748472e-07,
9.30552740e-07, 9.44251441e-07, 9.58044064e-07, 9.71663382e-07,
9.85116206e-07, 9.98565215e-07, 1.01199339e-06, 1.02524679e-06,
1.03844852e-06, 1.05160547e-06, 1.06459278e-06, 1.07766279e-06,
1.09045971e-06, 1.10345815e-06, 1.11612192e-06, 1.12899858e-06,
1.14166149e-06, 1.15424754e-06, 1.16655181e-06, 1.17894569e-06,
1.19106127e-06, 1.20316142e-06, 1.21531252e-06, 1.22732228e-06,
1.23920114e-06, 1.25102003e-06, 1.26251242e-06, 1.27414941e-06,
1.28554864e-06, 1.29660406e-06, 1.30786663e-06, 1.31912651e-06,
1.33013427e-06, 1.34085600e-06, 1.35191694e-06, 1.36278172e-06,
1.37371733e-06, 1.38403402e-06, 1.39450790e-06, 1.40478052e-06,
1.41539345e-06]),
norm_emit_x_95percent=array([1.64414409e-08, 2.54255723e-08, 4.19298697e-08, 6.00093961e-08,
7.84913576e-08, 9.72341906e-08, 1.15842984e-07, 1.34766786e-07,
1.53706477e-07, 1.72650011e-07, 1.91400672e-07, 2.10395386e-07,
2.29223873e-07, 2.48051276e-07, 2.66943087e-07, 2.85957831e-07,
3.04903817e-07, 3.23661905e-07, 3.42445238e-07, 3.61328735e-07,
3.79993252e-07, 3.98718406e-07, 4.17423838e-07, 4.36106246e-07,
4.54649092e-07, 4.73229119e-07, 4.91793157e-07, 5.10242425e-07,
5.28709112e-07, 5.47079666e-07, 5.65341347e-07, 5.83639451e-07,
6.01818960e-07, 6.19946870e-07, 6.38002502e-07, 6.56061190e-07,
6.74010823e-07, 6.91913978e-07, 7.09890060e-07, 7.27637840e-07,
7.45350546e-07, 7.63014357e-07, 7.80569883e-07, 7.98172902e-07,
8.15743639e-07, 8.33234629e-07, 8.50493591e-07, 8.67843054e-07,
8.85012667e-07, 9.02106782e-07, 9.19162488e-07, 9.36129000e-07,
9.52968225e-07, 9.69795904e-07, 9.86419157e-07, 1.00318301e-06,
1.01976846e-06, 1.03637389e-06, 1.05261235e-06, 1.06876106e-06,
1.08492378e-06, 1.10093568e-06, 1.11690812e-06, 1.13287876e-06,
1.14865275e-06, 1.16430028e-06, 1.17994144e-06, 1.19554329e-06,
1.21059741e-06, 1.22566712e-06, 1.24072059e-06, 1.25520514e-06,
1.27023493e-06, 1.28523184e-06, 1.29994486e-06, 1.31470752e-06,
1.32955926e-06, 1.34386381e-06, 1.35831579e-06, 1.37250449e-06,
1.38666442e-06, 1.40072115e-06, 1.41482395e-06, 1.42878254e-06,
1.44274750e-06, 1.45647135e-06, 1.47023495e-06, 1.48376862e-06,
1.49733040e-06, 1.51104997e-06, 1.52418666e-06, 1.53729623e-06,
1.55111348e-06, 1.56393774e-06, 1.57682566e-06, 1.58968647e-06,
1.60260211e-06, 1.61493054e-06, 1.62764662e-06, 1.64002146e-06,
1.65244431e-06]),
norm_emit_x_99percent=array([1.85943483e-08, 3.04871619e-08, 5.18538964e-08, 7.49688678e-08,
9.86474370e-08, 1.22557207e-07, 1.46504404e-07, 1.70479568e-07,
1.94606600e-07, 2.18658455e-07, 2.42726238e-07, 2.66894575e-07,
2.90904134e-07, 3.14888671e-07, 3.38926628e-07, 3.62855465e-07,
3.86748735e-07, 4.10670875e-07, 4.34630499e-07, 4.58487742e-07,
4.82228453e-07, 5.06003550e-07, 5.29606850e-07, 5.53289038e-07,
5.77065474e-07, 6.00706948e-07, 6.24148644e-07, 6.47635428e-07,
6.71122146e-07, 6.94442614e-07, 7.17758963e-07, 7.41075222e-07,
7.64270335e-07, 7.87401117e-07, 8.10465759e-07, 8.33462473e-07,
8.56389499e-07, 8.79245110e-07, 9.02027603e-07, 9.24735310e-07,
9.47444125e-07, 9.69999186e-07, 9.92474587e-07, 1.01486878e-06,
1.03718021e-06, 1.05940739e-06, 1.08163795e-06, 1.10369400e-06,
1.12566141e-06, 1.14753877e-06, 1.16932471e-06, 1.19091971e-06,
1.21241709e-06, 1.23391709e-06, 1.25542392e-06, 1.27662590e-06,
1.29793933e-06, 1.31904719e-06, 1.34016405e-06, 1.36106968e-06,
1.38198593e-06, 1.40268494e-06, 1.42304225e-06, 1.44340565e-06,
1.46365747e-06, 1.48428982e-06, 1.50457265e-06, 1.52462245e-06,
1.54456090e-06, 1.56438715e-06, 1.58410040e-06, 1.60369989e-06,
1.62277890e-06, 1.64200642e-06, 1.66097764e-06, 1.68024403e-06,
1.69925557e-06, 1.71829268e-06, 1.73692465e-06, 1.75558107e-06,
1.77426631e-06, 1.79268489e-06, 1.81098297e-06, 1.82916009e-06,
1.84737082e-06, 1.86530636e-06, 1.88343590e-06, 1.90128893e-06,
1.91886154e-06, 1.93598538e-06, 1.95314451e-06, 1.97067228e-06,
1.98791448e-06, 2.00486802e-06, 2.02169715e-06, 2.03840170e-06,
2.05498154e-06, 2.07126087e-06, 2.08758924e-06, 2.10379257e-06,
2.12023121e-06]),
norm_emit_y_90percent=array([1.45176905e-07, 1.46038092e-07, 1.48824256e-07, 1.53224853e-07,
1.59148260e-07, 1.66560204e-07, 1.75136809e-07, 1.84388796e-07,
1.94743880e-07, 2.05945737e-07, 2.17838706e-07, 2.29854621e-07,
2.42661108e-07, 2.55578771e-07, 2.69417626e-07, 2.83313145e-07,
2.96919106e-07, 3.11114845e-07, 3.25440715e-07, 3.39684813e-07,
3.54587080e-07, 3.69155442e-07, 3.84057717e-07, 3.98429748e-07,
4.13272915e-07, 4.28022050e-07, 4.42894079e-07, 4.57996658e-07,
4.73005427e-07, 4.88131123e-07, 5.03329958e-07, 5.18319573e-07,
5.33518938e-07, 5.48898079e-07, 5.63879737e-07, 5.78800089e-07,
5.93372620e-07, 6.08343471e-07, 6.23292933e-07, 6.38257710e-07,
6.53038464e-07, 6.68066961e-07, 6.83105533e-07, 6.97987126e-07,
7.13049293e-07, 7.27953018e-07, 7.42532209e-07, 7.56693895e-07,
7.71095816e-07, 7.85361393e-07, 7.99452028e-07, 8.13682631e-07,
8.27754389e-07, 8.41686995e-07, 8.56038338e-07, 8.70146907e-07,
8.83957327e-07, 8.97899936e-07, 9.11876584e-07, 9.25474527e-07,
9.38954893e-07, 9.52585723e-07, 9.65837044e-07, 9.79622049e-07,
9.93165957e-07, 1.00631707e-06, 1.01984955e-06, 1.03294429e-06,
1.04564868e-06, 1.05811411e-06, 1.07086874e-06, 1.08376566e-06,
1.09676063e-06, 1.10916472e-06, 1.12188626e-06, 1.13451795e-06,
1.14718315e-06, 1.15977772e-06, 1.17220362e-06, 1.18442686e-06,
1.19676437e-06, 1.20939993e-06, 1.22161925e-06, 1.23336595e-06,
1.24512910e-06, 1.25685184e-06, 1.26888558e-06, 1.28079930e-06,
1.29241809e-06, 1.30353507e-06, 1.31521789e-06, 1.32649111e-06,
1.33821232e-06, 1.34936300e-06, 1.36010272e-06, 1.37148356e-06,
1.38257390e-06, 1.39362179e-06, 1.40426876e-06, 1.41467858e-06,
1.42494984e-06]),
norm_emit_y_95percent=array([1.64338693e-07, 1.65395425e-07, 1.68776718e-07, 1.74215808e-07,
1.81641767e-07, 1.90673625e-07, 2.01323105e-07, 2.12882003e-07,
2.25562773e-07, 2.39271311e-07, 2.53418557e-07, 2.68541153e-07,
2.83699517e-07, 2.99547977e-07, 3.15433204e-07, 3.31973803e-07,
3.48389077e-07, 3.65194765e-07, 3.82161250e-07, 3.99496285e-07,
4.16702737e-07, 4.33878992e-07, 4.51154652e-07, 4.68417576e-07,
4.86058059e-07, 5.03600854e-07, 5.21385546e-07, 5.39137545e-07,
5.56652823e-07, 5.73999545e-07, 5.91520425e-07, 6.08650134e-07,
6.26329225e-07, 6.43972893e-07, 6.61362783e-07, 6.78603207e-07,
6.96533423e-07, 7.14039138e-07, 7.31240451e-07, 7.48793043e-07,
7.66057629e-07, 7.83681493e-07, 8.00677521e-07, 8.17892326e-07,
8.34610858e-07, 8.51804532e-07, 8.68569540e-07, 8.85504565e-07,
9.02440500e-07, 9.19256290e-07, 9.36090777e-07, 9.52557414e-07,
9.69227645e-07, 9.85882234e-07, 1.00254513e-06, 1.01879996e-06,
1.03545707e-06, 1.05158368e-06, 1.06724260e-06, 1.08341433e-06,
1.09911834e-06, 1.11493448e-06, 1.13062887e-06, 1.14624348e-06,
1.16218536e-06, 1.17758378e-06, 1.19338734e-06, 1.20905856e-06,
1.22452263e-06, 1.23979063e-06, 1.25493329e-06, 1.27008030e-06,
1.28491617e-06, 1.29958128e-06, 1.31412274e-06, 1.32892963e-06,
1.34403219e-06, 1.35839225e-06, 1.37279501e-06, 1.38729950e-06,
1.40202769e-06, 1.41611965e-06, 1.43000044e-06, 1.44349036e-06,
1.45748203e-06, 1.47112650e-06, 1.48500762e-06, 1.49859367e-06,
1.51204256e-06, 1.52545952e-06, 1.53866422e-06, 1.55182443e-06,
1.56474666e-06, 1.57778859e-06, 1.59023688e-06, 1.60272830e-06,
1.61495673e-06, 1.62752150e-06, 1.64005362e-06, 1.65216255e-06,
1.66441824e-06]),
norm_emit_y_99percent=array([1.85733589e-07, 1.87273768e-07, 1.91759348e-07, 1.99291547e-07,
2.09134774e-07, 2.21407345e-07, 2.35337979e-07, 2.50867656e-07,
2.67856222e-07, 2.85749031e-07, 3.04582429e-07, 3.24018814e-07,
3.44163228e-07, 3.64713655e-07, 3.85688844e-07, 4.06752315e-07,
4.28600288e-07, 4.50229083e-07, 4.72206039e-07, 4.94151129e-07,
5.16564839e-07, 5.38931987e-07, 5.61342568e-07, 5.83498178e-07,
6.06204034e-07, 6.28916946e-07, 6.51411568e-07, 6.74077098e-07,
6.96587513e-07, 7.18976730e-07, 7.41820037e-07, 7.64481473e-07,
7.87001983e-07, 8.09559066e-07, 8.32086436e-07, 8.54510187e-07,
8.77032475e-07, 8.99515549e-07, 9.21880723e-07, 9.44425657e-07,
9.66613510e-07, 9.88658319e-07, 1.01088359e-06, 1.03288098e-06,
1.05480849e-06, 1.07701756e-06, 1.09862541e-06, 1.12024073e-06,
1.14224206e-06, 1.16389017e-06, 1.18555682e-06, 1.20744241e-06,
1.22885425e-06, 1.24997466e-06, 1.27110572e-06, 1.29246376e-06,
1.31352060e-06, 1.33459609e-06, 1.35558113e-06, 1.37613240e-06,
1.39692655e-06, 1.41739063e-06, 1.43751349e-06, 1.45800852e-06,
1.47840555e-06, 1.49845310e-06, 1.51851865e-06, 1.53847888e-06,
1.55846270e-06, 1.57834212e-06, 1.59798299e-06, 1.61751438e-06,
1.63693515e-06, 1.65638351e-06, 1.67530176e-06, 1.69452584e-06,
1.71306454e-06, 1.73205968e-06, 1.75064883e-06, 1.76926781e-06,
1.78777033e-06, 1.80615577e-06, 1.82426995e-06, 1.84257214e-06,
1.86044570e-06, 1.87867235e-06, 1.89662571e-06, 1.91462342e-06,
1.93168969e-06, 1.94895560e-06, 1.96659674e-06, 1.98361745e-06,
2.00068328e-06, 2.01814251e-06, 2.03462094e-06, 2.05149604e-06,
2.06842703e-06, 2.08488530e-06, 2.10104095e-06, 2.11743222e-06,
2.13370314e-06]),
norm_emit_z_90percent=array([1.55337985e-07, 1.91740200e-05, 3.83871825e-05, 5.72425589e-05,
7.60187606e-05, 9.50303116e-05, 1.14384478e-04, 1.33665183e-04,
1.52906837e-04, 1.72108271e-04, 1.91067854e-04, 2.10103106e-04,
2.29029485e-04, 2.47984422e-04, 2.66954590e-04, 2.85866840e-04,
3.04731985e-04, 3.23636224e-04, 3.42448328e-04, 3.61240675e-04,
3.80010541e-04, 3.98729084e-04, 4.17366055e-04, 4.35960153e-04,
4.54592547e-04, 4.73039399e-04, 4.91585222e-04, 5.10037126e-04,
5.28556035e-04, 5.46926913e-04, 5.65247125e-04, 5.83533023e-04,
6.01798089e-04, 6.19938813e-04, 6.38045761e-04, 6.56111097e-04,
6.74082735e-04, 6.92039908e-04, 7.09965372e-04, 7.27798408e-04,
7.45607281e-04, 7.63260649e-04, 7.80954165e-04, 7.98621175e-04,
8.16062088e-04, 8.33448674e-04, 8.50663972e-04, 8.68081718e-04,
8.85277268e-04, 9.02358887e-04, 9.19423509e-04, 9.36341317e-04,
9.53307848e-04, 9.70238426e-04, 9.86793052e-04, 1.00339833e-03,
1.02008117e-03, 1.03663376e-03, 1.05294352e-03, 1.06906075e-03,
1.08496092e-03, 1.10080131e-03, 1.11668065e-03, 1.13273688e-03,
1.14858538e-03, 1.16408994e-03, 1.17971102e-03, 1.19512015e-03,
1.21025387e-03, 1.22540741e-03, 1.24035469e-03, 1.25527263e-03,
1.27004188e-03, 1.28488899e-03, 1.29963327e-03, 1.31349869e-03,
1.32730363e-03, 1.34123738e-03, 1.35537222e-03, 1.36905891e-03,
1.38289709e-03, 1.39690079e-03, 1.41033200e-03, 1.42297396e-03,
1.43598970e-03, 1.44876341e-03, 1.46123687e-03, 1.47355637e-03,
1.48514888e-03, 1.49664026e-03, 1.50811138e-03, 1.52028190e-03,
1.53235583e-03, 1.54367375e-03, 1.55649478e-03, 1.56959668e-03,
1.58214427e-03, 1.59498492e-03, 1.60758213e-03, 1.62022189e-03,
1.63290118e-03]),
norm_emit_z_95percent=array([1.55337985e-07, 2.29697301e-05, 4.59117999e-05, 6.88704676e-05,
9.18553186e-05, 1.14775674e-04, 1.37656724e-04, 1.60566331e-04,
1.83405421e-04, 2.06250312e-04, 2.29083371e-04, 2.51891855e-04,
2.74690887e-04, 2.97482656e-04, 3.20189031e-04, 3.42902154e-04,
3.65582881e-04, 3.88229116e-04, 4.10838780e-04, 4.33277826e-04,
4.55911175e-04, 4.78397349e-04, 5.00838771e-04, 5.23233439e-04,
5.45579363e-04, 5.67874576e-04, 5.90188847e-04, 6.12379496e-04,
6.34513616e-04, 6.56589310e-04, 6.78604706e-04, 7.00557953e-04,
7.22447219e-04, 7.44270692e-04, 7.66026591e-04, 7.87614262e-04,
8.09124627e-04, 8.30661798e-04, 8.52124512e-04, 8.73511102e-04,
8.94819922e-04, 9.15991518e-04, 9.37138654e-04, 9.58203305e-04,
9.79245881e-04, 1.00014238e-03, 1.02095189e-03, 1.04160699e-03,
1.06223688e-03, 1.08277555e-03, 1.10328619e-03, 1.12357382e-03,
1.14396377e-03, 1.16420055e-03, 1.18411559e-03, 1.20392573e-03,
1.22378762e-03, 1.24354819e-03, 1.26320633e-03, 1.28283794e-03,
1.30204507e-03, 1.32130430e-03, 1.34095157e-03, 1.36032915e-03,
1.37952441e-03, 1.39852843e-03, 1.41733907e-03, 1.43594592e-03,
1.45453183e-03, 1.47264269e-03, 1.49108711e-03, 1.50960899e-03,
1.52838562e-03, 1.54650451e-03, 1.56498915e-03, 1.58229783e-03,
1.60025981e-03, 1.61842028e-03, 1.63576092e-03, 1.65298155e-03,
1.67018593e-03, 1.68737705e-03, 1.70465207e-03, 1.72138736e-03,
1.73821411e-03, 1.75524069e-03, 1.77172543e-03, 1.78808757e-03,
1.80432684e-03, 1.82044297e-03, 1.83619438e-03, 1.85193971e-03,
1.86779224e-03, 1.88399923e-03, 1.89901102e-03, 1.91461463e-03,
1.93010662e-03, 1.94560115e-03, 1.96060633e-03, 1.97584241e-03,
1.99008344e-03]),
norm_emit_z_99percent=array([1.55337985e-07, 3.08283614e-05, 6.16411533e-05, 9.24362910e-05,
1.23235929e-04, 1.54024942e-04, 1.84800669e-04, 2.15538715e-04,
2.46376326e-04, 2.77021629e-04, 3.07655602e-04, 3.38319033e-04,
3.68841808e-04, 3.99556016e-04, 4.30124376e-04, 4.60702471e-04,
4.91197631e-04, 5.21703498e-04, 5.52115236e-04, 5.82362112e-04,
6.12795082e-04, 6.43058197e-04, 6.73130521e-04, 7.03276034e-04,
7.33362169e-04, 7.63541214e-04, 7.93507511e-04, 8.23407255e-04,
8.53151484e-04, 8.82908052e-04, 9.12591107e-04, 9.42198378e-04,
9.71727615e-04, 1.00117660e-03, 1.03054313e-03, 1.05982506e-03,
1.08902023e-03, 1.11812654e-03, 1.14714191e-03, 1.17606430e-03,
1.20489167e-03, 1.23362203e-03, 1.26238200e-03, 1.29091551e-03,
1.31934625e-03, 1.34767238e-03, 1.37589205e-03, 1.40400346e-03,
1.43215131e-03, 1.45989450e-03, 1.48782301e-03, 1.51548702e-03,
1.54287615e-03, 1.57030215e-03, 1.59760824e-03, 1.62495968e-03,
1.65202425e-03, 1.67896440e-03, 1.70560332e-03, 1.73228755e-03,
1.75884317e-03, 1.78526886e-03, 1.81156332e-03, 1.83772533e-03,
1.86394604e-03, 1.88964715e-03, 1.91540462e-03, 1.94102499e-03,
1.96671069e-03, 1.99205640e-03, 2.01726188e-03, 2.04232617e-03,
2.06681909e-03, 2.09159273e-03, 2.11622250e-03, 2.14115317e-03,
2.16549818e-03, 2.18969692e-03, 2.21328688e-03, 2.23718554e-03,
2.26093582e-03, 2.28477579e-03, 2.30798867e-03, 2.33129004e-03,
2.35444065e-03, 2.37768919e-03, 2.40079112e-03, 2.42298291e-03,
2.44552560e-03, 2.46817475e-03, 2.49041351e-03, 2.51223387e-03,
2.53442934e-03, 2.55647534e-03, 2.57864409e-03, 2.60066860e-03,
2.62199296e-03, 2.64288169e-03, 2.66417564e-03, 2.68503369e-03,
2.70573606e-03]),
energy_ref=array([10000000., 10000000., 10000000., 10000000., 10000000., 10000000.,
10000000., 10000000., 10000000., 10000000., 10000000., 10000000.,
10000000., 10000000., 10000000., 10000000., 10000000., 10000000.,
10000000., 10000000., 10000000., 10000000., 10000000., 10000000.,
10000000., 10000000., 10000000., 10000000., 10000000., 10000000.,
10000000., 10000000., 10000000., 10000000., 10000000., 10000000.,
10000000., 10000000., 10000000., 10000000., 10000000., 10000000.,
10000000., 10000000., 10000000., 10000000., 10000000., 10000000.,
10000000., 10000000., 10000000., 10000000., 10000000., 10000000.,
10000000., 10000000., 10000000., 10000000., 10000000., 10000000.,
10000000., 10000000., 10000000., 10000000., 10000000., 10000000.,
10000000., 10000000., 10000000., 10000000., 10000000., 10000000.,
10000000., 10000000., 10000000., 10000000., 10000000., 10000000.,
10000000., 10000000., 10000000., 10000000., 10000000., 10000000.,
10000000., 10000000., 10000000., 10000000., 10000000., 10000000.,
10000000., 10000000., 10000000., 10000000., 10000000., 10000000.,
10000000., 10000000., 10000000., 10000000., 10000000.]),
mean_energy=array([ 9999999.99232798, 9999999.99232823, 9999999.99237746,
9999999.99247565, 9999999.99262274, 9999999.9928187 ,
9999999.99306346, 9999999.99335692, 9999999.993699 ,
9999999.99408958, 9999999.99452854, 9999999.99501571,
9999999.99555094, 9999999.99613408, 9999999.99676495,
9999999.99744331, 9999999.99816896, 9999999.99894165,
9999999.9997611 , 10000000.0006271 , 10000000.00153937,
10000000.00249763, 10000000.00350157, 10000000.0045509 ,
10000000.00564524, 10000000.00678426, 10000000.00796761,
10000000.00919501, 10000000.01046606, 10000000.01178032,
10000000.01313744, 10000000.01453702, 10000000.01597861,
10000000.01746174, 10000000.01898599, 10000000.02055089,
10000000.02215599, 10000000.0238008 , 10000000.02548482,
10000000.02720754, 10000000.02896845, 10000000.03076705,
10000000.03260274, 10000000.03447503, 10000000.03638348,
10000000.03832759, 10000000.04030678, 10000000.0423205 ,
10000000.0443682 , 10000000.04644921, 10000000.04856307,
10000000.05070896, 10000000.05288652, 10000000.05509504,
10000000.05733391, 10000000.05960255, 10000000.06190054,
10000000.06422706, 10000000.06658179, 10000000.06896403,
10000000.07137331, 10000000.07380895, 10000000.07627037,
10000000.0787568 , 10000000.08126774, 10000000.08380239,
10000000.08636016, 10000000.08894045, 10000000.09154279,
10000000.09416654, 10000000.09681104, 10000000.09947588,
10000000.10216033, 10000000.10486383, 10000000.10758549,
10000000.11032496, 10000000.11308168, 10000000.11585493,
10000000.11864428, 10000000.12144894, 10000000.12426854,
10000000.12710243, 10000000.12994982, 10000000.13281025,
10000000.13568291, 10000000.13856756, 10000000.14146364,
10000000.1443703 , 10000000.14728694, 10000000.1502131 ,
10000000.15314808, 10000000.15609156, 10000000.15904315,
10000000.1620022 , 10000000.16496819, 10000000.16794048,
10000000.17091865, 10000000.17390209, 10000000.17689054,
10000000.17988311, 10000000.18287946]),
mean_gamma=array([19.56951179, 19.56951179, 19.56951179, 19.56951179, 19.56951179,
19.5695118 , 19.5695118 , 19.5695118 , 19.5695118 , 19.5695118 ,
19.5695118 , 19.5695118 , 19.5695118 , 19.5695118 , 19.5695118 ,
19.5695118 , 19.56951181, 19.56951181, 19.56951181, 19.56951181,
19.56951181, 19.56951181, 19.56951182, 19.56951182, 19.56951182,
19.56951182, 19.56951182, 19.56951183, 19.56951183, 19.56951183,
19.56951183, 19.56951184, 19.56951184, 19.56951184, 19.56951185,
19.56951185, 19.56951185, 19.56951186, 19.56951186, 19.56951186,
19.56951187, 19.56951187, 19.56951187, 19.56951188, 19.56951188,
19.56951188, 19.56951189, 19.56951189, 19.5695119 , 19.5695119 ,
19.5695119 , 19.56951191, 19.56951191, 19.56951192, 19.56951192,
19.56951193, 19.56951193, 19.56951193, 19.56951194, 19.56951194,
19.56951195, 19.56951195, 19.56951196, 19.56951196, 19.56951197,
19.56951197, 19.56951198, 19.56951198, 19.56951199, 19.56951199,
19.569512 , 19.569512 , 19.56951201, 19.56951201, 19.56951202,
19.56951203, 19.56951203, 19.56951204, 19.56951204, 19.56951205,
19.56951205, 19.56951206, 19.56951206, 19.56951207, 19.56951207,
19.56951208, 19.56951209, 19.56951209, 19.5695121 , 19.5695121 ,
19.56951211, 19.56951211, 19.56951212, 19.56951213, 19.56951213,
19.56951214, 19.56951214, 19.56951215, 19.56951216, 19.56951216,
19.56951217]),
mean_px=array([-0.01305318, -0.01305319, -0.01305319, -0.01305319, -0.01305319,
-0.01305318, -0.01305317, -0.01305316, -0.01305314, -0.01305312,
-0.0130531 , -0.01305307, -0.01305304, -0.013053 , -0.01305296,
-0.01305292, -0.01305287, -0.01305283, -0.01305279, -0.01305274,
-0.01305269, -0.01305264, -0.01305259, -0.01305254, -0.01305249,
-0.01305245, -0.01305242, -0.01305237, -0.01305233, -0.01305227,
-0.01305222, -0.01305217, -0.01305212, -0.01305205, -0.013052 ,
-0.01305194, -0.01305187, -0.01305182, -0.01305179, -0.01305176,
-0.01305176, -0.01305174, -0.01305173, -0.01305172, -0.0130517 ,
-0.0130517 , -0.01305171, -0.01305172, -0.01305175, -0.0130518 ,
-0.01305182, -0.01305185, -0.01305188, -0.01305191, -0.01305195,
-0.013052 , -0.01305207, -0.01305214, -0.01305222, -0.01305227,
-0.01305234, -0.01305236, -0.0130524 , -0.01305242, -0.01305242,
-0.01305243, -0.01305241, -0.0130524 , -0.01305239, -0.01305235,
-0.01305227, -0.01305222, -0.01305219, -0.01305214, -0.01305212,
-0.01305213, -0.01305213, -0.01305218, -0.01305222, -0.0130523 ,
-0.01305237, -0.01305243, -0.01305247, -0.0130525 , -0.01305251,
-0.01305258, -0.01305266, -0.01305275, -0.01305282, -0.01305288,
-0.01305292, -0.013053 , -0.01305309, -0.01305315, -0.01305315,
-0.01305316, -0.01305313, -0.01305308, -0.01305301, -0.01305295,
-0.01305288]),
mean_py=array([0.53124841, 0.53124845, 0.53124851, 0.53124859, 0.53124869,
0.53124882, 0.53124897, 0.53124915, 0.53124935, 0.53124958,
0.53124983, 0.53125009, 0.53125039, 0.53125069, 0.53125102,
0.53125136, 0.53125174, 0.53125214, 0.53125256, 0.531253 ,
0.53125346, 0.53125394, 0.53125443, 0.53125494, 0.53125548,
0.53125603, 0.53125661, 0.5312572 , 0.53125783, 0.53125848,
0.53125914, 0.53125982, 0.53126052, 0.53126125, 0.53126199,
0.53126276, 0.53126353, 0.53126434, 0.53126517, 0.53126602,
0.53126691, 0.53126782, 0.53126874, 0.53126968, 0.53127065,
0.53127166, 0.53127266, 0.5312737 , 0.53127477, 0.53127584,
0.53127689, 0.53127796, 0.53127903, 0.53128009, 0.53128116,
0.53128224, 0.53128331, 0.53128437, 0.53128542, 0.53128648,
0.53128752, 0.53128855, 0.53128959, 0.53129062, 0.53129168,
0.53129269, 0.53129372, 0.53129479, 0.53129584, 0.53129686,
0.53129794, 0.53129903, 0.53130014, 0.53130128, 0.5313025 ,
0.53130371, 0.53130489, 0.53130606, 0.53130723, 0.53130841,
0.5313096 , 0.53131081, 0.53131195, 0.53131312, 0.53131431,
0.53131548, 0.53131665, 0.53131779, 0.53131893, 0.53132003,
0.53132116, 0.53132234, 0.53132355, 0.53132476, 0.53132595,
0.53132714, 0.53132836, 0.5313296 , 0.53133076, 0.53133185,
0.53133297]),
mean_t=array([-1.07190770e-16, 3.33999379e-11, 6.67999830e-11, 1.00200028e-10,
1.33600073e-10, 1.67000118e-10, 2.00400164e-10, 2.33800209e-10,
2.67200254e-10, 3.00600299e-10, 3.34000344e-10, 3.67400389e-10,
4.00800435e-10, 4.34200480e-10, 4.67600525e-10, 5.01000570e-10,
5.34400615e-10, 5.67800661e-10, 6.01200706e-10, 6.34600751e-10,
6.68000797e-10, 7.01400842e-10, 7.34800887e-10, 7.68200933e-10,
8.01600978e-10, 8.35001024e-10, 8.68401069e-10, 9.01801115e-10,
9.35201160e-10, 9.68601206e-10, 1.00200125e-09, 1.03540130e-09,
1.06880134e-09, 1.10220139e-09, 1.13560143e-09, 1.16900148e-09,
1.20240153e-09, 1.23580157e-09, 1.26920162e-09, 1.30260166e-09,
1.33600171e-09, 1.36940176e-09, 1.40280180e-09, 1.43620185e-09,
1.46960189e-09, 1.50300194e-09, 1.53640199e-09, 1.56980203e-09,
1.60320208e-09, 1.63660213e-09, 1.67000217e-09, 1.70340222e-09,
1.73680227e-09, 1.77020231e-09, 1.80360236e-09, 1.83700241e-09,
1.87040245e-09, 1.90380250e-09, 1.93720255e-09, 1.97060259e-09,
2.00400264e-09, 2.03740269e-09, 2.07080274e-09, 2.10420278e-09,
2.13760283e-09, 2.17100288e-09, 2.20440293e-09, 2.23780297e-09,
2.27120302e-09, 2.30460307e-09, 2.33800312e-09, 2.37140316e-09,
2.40480321e-09, 2.43820326e-09, 2.47160331e-09, 2.50500336e-09,
2.53840340e-09, 2.57180345e-09, 2.60520350e-09, 2.63860355e-09,
2.67200360e-09, 2.70540365e-09, 2.73880370e-09, 2.77220374e-09,
2.80560379e-09, 2.83900384e-09, 2.87240389e-09, 2.90580394e-09,
2.93920399e-09, 2.97260404e-09, 3.00600409e-09, 3.03940414e-09,
3.07280419e-09, 3.10620424e-09, 3.13960429e-09, 3.17300434e-09,
3.20640439e-09, 3.23980444e-09, 3.27320449e-09, 3.30660454e-09,
3.34000459e-09]),
mean_t_rel=array([-1.07190770e-16, -1.07188718e-16, -1.07185453e-16, -1.07179765e-16,
-1.07170440e-16, -1.07156269e-16, -1.07136041e-16, -1.07108547e-16,
-1.07072581e-16, -1.07026937e-16, -1.06970412e-16, -1.06901805e-16,
-1.06819919e-16, -1.06723558e-16, -1.06611530e-16, -1.06482647e-16,
-1.06335723e-16, -1.06169578e-16, -1.05983034e-16, -1.05774920e-16,
-1.05544067e-16, -1.05289312e-16, -1.05009498e-16, -1.04703472e-16,
-1.04370087e-16, -1.04008202e-16, -1.03616682e-16, -1.03194398e-16,
-1.02740227e-16, -1.02253054e-16, -1.01731769e-16, -1.01175272e-16,
-1.00582467e-16, -9.99522680e-17, -9.92835947e-17, -9.85753759e-17,
-9.78265480e-17, -9.70360558e-17, -9.62028522e-17, -9.53258989e-17,
-9.44041661e-17, -9.34366330e-17, -9.24222878e-17, -9.13601278e-17,
-9.02491596e-17, -8.90883993e-17, -8.78768726e-17, -8.66136147e-17,
-8.52976709e-17, -8.39280963e-17, -8.25039560e-17, -8.10243254e-17,
-7.94882901e-17, -7.78949460e-17, -7.62433997e-17, -7.45327680e-17,
-7.27621787e-17, -7.09307700e-17, -6.90376910e-17, -6.70821018e-17,
-6.50631731e-17, -6.29800868e-17, -6.08320358e-17, -5.86182241e-17,
-5.63378667e-17, -5.39901900e-17, -5.15744313e-17, -4.90898392e-17,
-4.65356739e-17, -4.39112063e-17, -4.12157191e-17, -3.84485060e-17,
-3.56088723e-17, -3.26961343e-17, -2.97096198e-17, -2.66486679e-17,
-2.35126291e-17, -2.03008651e-17, -1.70127488e-17, -1.36476647e-17,
-1.02050082e-17, -6.68418619e-18, -3.08461665e-18, 5.94271210e-19,
4.35303707e-18, 8.19222951e-18, 1.21123860e-17, 1.61140331e-17,
2.01976863e-17, 2.43638502e-17, 2.86130186e-17, 3.29456744e-17,
3.73622896e-17, 4.18633258e-17, 4.64492337e-17, 5.11204535e-17,
5.58774150e-17, 6.07205373e-17, 6.56502294e-17, 7.06668900e-17,
7.57709073e-17]),
p0c=array([9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186, 9986935.46952186,
9986935.46952186, 9986935.46952186]),
sigma_px=array([ 9.9588475 , 31.29900246, 60.24432436, 89.70961689,
119.30595329, 148.95041631, 178.61387626, 208.28280496,
237.94956575, 267.60915198, 297.25787713, 326.89277954,
356.51132282, 386.1112354 , 415.69041847, 445.24689155,
474.77876086, 504.28419345, 533.76140581, 563.20865275,
592.62422159, 622.00642688, 651.35360583, 680.66411722,
709.936341 , 739.16867966, 768.3595511 , 797.50738955,
826.61064572, 855.66779149, 884.67731354, 913.63771723,
942.54752425, 971.40527544, 1000.2095299 , 1028.95886201,
1057.65186961, 1086.28716865, 1114.86339265, 1143.37919974,
1171.83325879, 1200.22426065, 1228.55092073, 1256.81197804,
1285.00618494, 1313.13231611, 1341.18916276, 1369.17553681,
1397.09027335, 1424.93222864, 1452.70028439, 1480.39334638,
1508.01033637, 1535.55019675, 1563.01188965, 1590.39440256,
1617.69673879, 1644.91792744, 1672.05702875, 1699.11311264,
1726.08527096, 1752.97262389, 1779.77430388, 1806.48947081,
1833.11731044, 1859.65702922, 1886.10785332, 1912.46903328,
1938.7398326 , 1964.9195426 , 1991.00747494, 2017.00295496,
2042.90533418, 2068.71399795, 2094.42835166, 2120.04781094,
2145.57180677, 2170.99980085, 2196.3312747 , 2221.56572826,
2246.70268024, 2271.74166758, 2296.68224804, 2321.52400616,
2346.26654571, 2370.9094823 , 2395.45244472, 2419.89509075,
2444.23710535, 2468.47818611, 2492.61803794, 2516.65639009,
2540.59297988, 2564.42756885, 2588.15994079, 2611.78989675,
2635.31724972, 2658.74182978, 2682.06348573, 2705.2820867 ,
2728.39750847]),
sigma_py=array([ 99.75883451, 104.08045792, 116.10785862, 133.77626615,
155.16726709, 178.94685101, 204.27807509, 230.64540345,
257.72588703, 285.31117591, 313.26242416, 341.48413267,
369.9086534 , 398.48675597, 427.18171934, 455.96553061,
484.81637449, 513.71693181, 542.6532107 , 571.61371883,
600.58887081, 629.57055659, 658.55182094, 687.52662574,
716.48966456, 745.43623031, 774.36210087, 803.26345378,
832.13680125, 860.97893738, 889.78689377, 918.55790411,
947.28937524, 975.97886688, 1004.62407116, 1033.22279147,
1061.77293716, 1090.27250947, 1118.71959257, 1147.11235094,
1175.44901146, 1203.72786664, 1231.94727303, 1260.10563448,
1288.20140347, 1316.23308379, 1344.19922021, 1372.09839569,
1399.9292361 , 1427.6904044 , 1455.38060229, 1482.99856882,
1510.54306517, 1538.01288891, 1565.4068728 , 1592.72388431,
1619.96282406, 1647.12262379, 1674.20224404, 1701.20066399,
1728.11688927, 1754.94995422, 1781.69891917, 1808.36287856,
1834.9409607 , 1861.4323096 , 1887.83609444, 1914.15151304,
1940.37778153, 1966.51414346, 1992.5598695 , 2018.51425363,
2044.37660789, 2070.14627789, 2095.82262542, 2121.40503386,
2146.89290515, 2172.28567097, 2197.58278408, 2222.78371497,
2247.88794612, 2272.89498673, 2297.80437164, 2322.61566184,
2347.32844027, 2371.9423061 , 2396.45687313, 2420.87178037,
2445.18669428, 2469.40129241, 2493.51525885, 2517.52829869,
2541.44013183, 2565.25050667, 2588.95919526, 2612.56597847,
2636.07066534, 2659.47307302, 2682.7730335 , 2705.97040043,
2729.06503982]),
sigma_t=array([3.33060245e-13, 3.33062123e-13, 3.33067758e-13, 3.33077149e-13,
3.33090296e-13, 3.33107199e-13, 3.33127857e-13, 3.33152268e-13,
3.33180434e-13, 3.33212351e-13, 3.33248020e-13, 3.33287439e-13,
3.33330607e-13, 3.33377522e-13, 3.33428183e-13, 3.33482587e-13,
3.33540733e-13, 3.33602620e-13, 3.33668244e-13, 3.33737604e-13,
3.33810697e-13, 3.33887521e-13, 3.33968072e-13, 3.34052350e-13,
3.34140349e-13, 3.34232068e-13, 3.34327504e-13, 3.34426652e-13,
3.34529511e-13, 3.34636075e-13, 3.34746342e-13, 3.34860308e-13,
3.34977969e-13, 3.35099321e-13, 3.35224360e-13, 3.35353082e-13,
3.35485483e-13, 3.35621557e-13, 3.35761301e-13, 3.35904710e-13,
3.36051779e-13, 3.36202503e-13, 3.36356878e-13, 3.36514898e-13,
3.36676557e-13, 3.36841851e-13, 3.37010775e-13, 3.37183322e-13,
3.37359487e-13, 3.37539264e-13, 3.37722648e-13, 3.37909633e-13,
3.38100212e-13, 3.38294379e-13, 3.38492129e-13, 3.38693454e-13,
3.38898349e-13, 3.39106807e-13, 3.39318821e-13, 3.39534384e-13,
3.39753491e-13, 3.39976133e-13, 3.40202304e-13, 3.40431997e-13,
3.40665204e-13, 3.40901919e-13, 3.41142134e-13, 3.41385842e-13,
3.41633035e-13, 3.41883705e-13, 3.42137846e-13, 3.42395448e-13,
3.42656506e-13, 3.42921009e-13, 3.43188952e-13, 3.43460325e-13,
3.43735120e-13, 3.44013330e-13, 3.44294946e-13, 3.44579959e-13,
3.44868362e-13, 3.45160146e-13, 3.45455302e-13, 3.45753822e-13,
3.46055697e-13, 3.46360919e-13, 3.46669478e-13, 3.46981366e-13,
3.47296574e-13, 3.47615094e-13, 3.47936915e-13, 3.48262029e-13,
3.48590428e-13, 3.48922101e-13, 3.49257039e-13, 3.49595234e-13,
3.49936676e-13, 3.50281356e-13, 3.50629264e-13, 3.50980390e-13,
3.51334726e-13]),
t_ref=array([0.00000000e+00, 3.34000451e-11, 6.68000902e-11, 1.00200135e-10,
1.33600180e-10, 1.67000226e-10, 2.00400271e-10, 2.33800316e-10,
2.67200361e-10, 3.00600406e-10, 3.34000451e-10, 3.67400496e-10,
4.00800541e-10, 4.34200586e-10, 4.67600632e-10, 5.01000677e-10,
5.34400722e-10, 5.67800767e-10, 6.01200812e-10, 6.34600857e-10,
6.68000902e-10, 7.01400947e-10, 7.34800992e-10, 7.68201038e-10,
8.01601083e-10, 8.35001128e-10, 8.68401173e-10, 9.01801218e-10,
9.35201263e-10, 9.68601308e-10, 1.00200135e-09, 1.03540140e-09,
1.06880144e-09, 1.10220149e-09, 1.13560153e-09, 1.16900158e-09,
1.20240162e-09, 1.23580167e-09, 1.26920171e-09, 1.30260176e-09,
1.33600180e-09, 1.36940185e-09, 1.40280189e-09, 1.43620194e-09,
1.46960198e-09, 1.50300203e-09, 1.53640208e-09, 1.56980212e-09,
1.60320217e-09, 1.63660221e-09, 1.67000226e-09, 1.70340230e-09,
1.73680235e-09, 1.77020239e-09, 1.80360244e-09, 1.83700248e-09,
1.87040253e-09, 1.90380257e-09, 1.93720262e-09, 1.97060266e-09,
2.00400271e-09, 2.03740275e-09, 2.07080280e-09, 2.10420284e-09,
2.13760289e-09, 2.17100293e-09, 2.20440298e-09, 2.23780302e-09,
2.27120307e-09, 2.30460311e-09, 2.33800316e-09, 2.37140320e-09,
2.40480325e-09, 2.43820329e-09, 2.47160334e-09, 2.50500338e-09,
2.53840343e-09, 2.57180347e-09, 2.60520352e-09, 2.63860356e-09,
2.67200361e-09, 2.70540365e-09, 2.73880370e-09, 2.77220374e-09,
2.80560379e-09, 2.83900383e-09, 2.87240388e-09, 2.90580392e-09,
2.93920397e-09, 2.97260401e-09, 3.00600406e-09, 3.03940411e-09,
3.07280415e-09, 3.10620420e-09, 3.13960424e-09, 3.17300429e-09,
3.20640433e-09, 3.23980438e-09, 3.27320442e-09, 3.30660447e-09,
3.34000451e-09]),
twiss_beta_x=array([1002.97162115, 586.40671891, 339.50067143, 233.8116913 ,
177.47814303, 142.81524046, 119.42131268, 102.59885881,
89.93269115, 80.05842571, 72.14851487, 65.67240763,
60.27451433, 55.70768431, 51.79485023, 48.40585825,
45.44291105, 42.83111066, 40.5121317 , 38.439881 ,
36.57745301, 34.89495039, 33.36789702, 31.97606316,
30.70258312, 29.53328407, 28.45616995, 27.46101902,
26.53906786, 25.68276006, 24.88554565, 24.1417189 ,
23.4462866 , 22.79486034, 22.18356756, 21.60897817,
21.06804298, 20.55804223, 20.07654246, 19.62135958,
19.19052823, 18.78227475, 18.39499433, 18.02723136,
17.67766295, 17.34508378, 17.02839351, 16.7265856 ,
16.43873739, 16.16400182, 15.90159959, 15.65081259,
15.41097825, 15.18148396, 14.96176283, 14.75128927,
14.54957523, 14.35616707, 14.17064235, 13.99260762,
13.82169584, 13.65756393, 13.49989127, 13.34837756,
13.20274139, 13.06271883, 12.928062 , 12.79853795,
12.6739275 , 12.55402429, 12.43863384, 12.32757276,
12.22066792, 12.11775565, 12.01868136, 11.92329891,
11.83146994, 11.74306327, 11.65795454, 11.57602585,
11.49716525, 11.42126649, 11.34822862, 11.27795555,
11.21035583, 11.1453424 , 11.08283242, 11.02274691,
10.9650105 , 10.90955143, 10.85630122, 10.80519444,
10.75616851, 10.70916359, 10.66412243, 10.62099027,
10.57971484, 10.54024616, 10.50253628, 10.46653918,
10.43221089]),
twiss_beta_y=array([99.80524894, 98.88180903, 96.19952403, 92.16158246, 87.27264451,
81.99904756, 76.69448054, 71.58828582, 66.80748872, 62.40755639,
58.39927065, 54.76816303, 51.48713948, 48.52409346, 45.84620877,
43.42221474, 41.22343453, 39.22415131, 37.40160557, 35.73581044,
34.20928782, 32.80678234, 31.51498351, 30.32226946, 29.2184785 ,
28.19470845, 27.24314367, 26.35690565, 25.52992504, 24.7568326 ,
24.03286586, 23.35378966, 22.71582784, 22.11560508, 21.55009653,
21.01658501, 20.51262406, 20.03600571, 19.58473296, 19.15699564,
18.75114975, 18.36569895, 17.99927874, 17.65064252, 17.31864939,
17.0022534 , 16.70049403, 16.41248777, 16.1374205 , 15.87454107,
15.62315537, 15.38262114, 15.15234344, 14.93177011, 14.72038812,
14.51772024, 14.32332183, 14.13677842, 13.95770303, 13.78573432,
13.62053426, 13.46178633, 13.30919383, 13.16247832, 13.02137818,
12.88564767, 12.75505566, 12.62938441, 12.50842875, 12.39199522,
12.27990115, 12.17197395, 12.06805049, 11.96797638, 11.87160561,
11.77879997, 11.68942844, 11.60336667, 11.52049661, 11.44070623,
11.36388903, 11.28994385, 11.21877447, 11.1502892 , 11.08440072,
11.02102591, 10.96008547, 10.90150376, 10.84520863, 10.7911312 ,
10.73920577, 10.68936958, 10.64156252, 10.59572706, 10.55180816,
10.50975325, 10.46951194, 10.43103602, 10.39427925, 10.35919731,
10.32574773]),
extra={}
),
reference_frequency=1300000000.0,
reference_species='electron'
)
Plot¶
Plotting accepts any key that from the output statistics.
In [8]:
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I.plot(["sigma_x", "sigma_y"], y2="norm_emit_x")
I.plot(["sigma_x", "sigma_y"], y2="norm_emit_x")
Extract particles¶
In [9]:
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P0 = I.output.particles["initial_particles"]
P1 = I.output.particles["final_particles"]
P0 = I.output.particles["initial_particles"]
P1 = I.output.particles["final_particles"]
Check consistency with the initial particle sizes
In [10]:
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P0 = I.output.particles["initial_particles"]
(
P0["sigma_x"] / sigma_x0,
P0["sigma_y"] / sigma_y0,
P0["sigma_t"] * c_light / sigma_z0,
P0["mean_energy"] / energy0,
)
P0 = I.output.particles["initial_particles"]
(
P0["sigma_x"] / sigma_x0,
P0["sigma_y"] / sigma_y0,
P0["sigma_t"] * c_light / sigma_z0,
P0["mean_energy"] / energy0,
)
Out[10]:
(np.float64(1.000135340064495), np.float64(0.9969477451982961), np.float64(0.9984894952855283), np.float64(0.9999999992327983))
In [11]:
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P1.plot("delta_t", "energy")
P1.plot("delta_t", "energy")
Try again with particles¶
In [12]:
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I2 = ImpactZ(input, initial_particles=P0)
I2.run()
P3 = I2.output.particles["initial_particles"]
P4 = I2.output.particles["final_particles"]
I2 = ImpactZ(input, initial_particles=P0)
I2.run()
P3 = I2.output.particles["initial_particles"]
P4 = I2.output.particles["final_particles"]
In [13]:
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P4.plot("delta_t", "energy")
P4.plot("delta_t", "energy")
Archiving and readback¶
In [14]:
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I.archive("impactz.h5")
I.archive("impactz.h5")
In [15]:
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I2 = ImpactZ.from_archive("impactz.h5")
I2.plot()
I2 = ImpactZ.from_archive("impactz.h5")
I2.plot()
Cleanup¶
In [16]:
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os.remove("impactz.h5")
os.remove("impactz.h5")