This Jupyter notebook will guide you through the installation of Marvin and will give you a hint of its capabilities. But enough talk, let's begin by installing Marvin. For that, run
pip install sdss-marvin
Now that you have installed Marvin, it's time to take your first steps. If you want to learn more about how Marvin works, then go see General Info to learn about Marvin Modes, Versions, or Downloading. If you just want to play, then read on.
First let's run some boilerplate code for Python 2/3 compatibility and plotting in the notebook:
In [1]:
from __future__ import print_function, division, absolute_import
import matplotlib.pyplot as plt
%matplotlib inline
Now, let’s import Marvin:
In [2]:
import marvin
INFO: No release version set. Setting default to MPL-5
Let's see what release we're using. Releases can be either MPLs (e.g. MPL-5) or DRs (e.g. DR13), however DRs are currently disabled in Marvin.
In [3]:
marvin.config.release
Out[3]:
'MPL-5'
On intial import, Marvin will set the default data release to use the latest MPL available, currently MPL-5. You can change the version of MaNGA data using the Marvin Config.
In [4]:
from marvin import config
config.setRelease('MPL-4')
print('MPL:', config.release)
MPL: MPL-4
In general, we recommend using MPL-5 unless you have already stated a science project using MPL-4. So, let's go back to MPL-5
In [5]:
config.setMPL('MPL-5')
print('MPL:', config.release)
MPL: MPL-5
In [6]:
from marvin.tools.cube import Cube
Let's load a cube from a local file. Start by specifying the full path and name of the file, such as:
./manga-8485-1901-LOGCUBE.fits.gz
EDIT Next Cell if necessary
In [7]:
#----- EDIT THIS CELL -----#
# Point filename to the location of the Cube you want to load
filename = './manga-8485-1901-LOGCUBE.fits.gz'
drpall = './drpall-v2_0_1.fits'
Create a Cube object:
In [8]:
cc = Cube(filename=filename, drpall=drpall)
WARNING: local mode failed. Trying remote now.
---------------------------------------------------------------------------
MarvinError Traceback (most recent call last)
<ipython-input-8-78cdda2d98b7> in <module>()
----> 1 cc = Cube(filename=filename, drpall=drpall)
/Users/Brian/Work/github_projects/Marvin/python/marvin/tools/cube.pyc in __init__(self, *args, **kwargs)
74 self._drpall_data = None
75
---> 76 super(Cube, self).__init__(*args, **kwargs)
77
78 if self.data_origin == 'file':
/Users/Brian/Work/github_projects/Marvin/python/marvin/core/core.pyc in __init__(self, *args, **kwargs)
108 except Exception:
109 warnings.warn('local mode failed. Trying remote now.', MarvinUserWarning)
--> 110 self._doRemote()
111
112 # Sanity check to make sure data_origin has been properly set.
/Users/Brian/Work/github_projects/Marvin/python/marvin/core/core.pyc in _doRemote(self)
158
159 if self.filename:
--> 160 raise MarvinError('filename not allowed in remote mode.')
161 else:
162 self.mode = 'remote'
MarvinError: filename not allowed in remote mode.
Now we have a Cube object:
In [9]:
print(cc)
<Marvin Cube (plateifu='8485-1901', mode='local', data_origin='file')>
How about we look at some meta-data
In [10]:
cc.ra, cc.dec, cc.header['SRVYMODE']
Out[10]:
(232.544703894, 48.6902009334, 'MaNGA dither')
...and the quality and target bits
In [11]:
cc.targetbit
Out[11]:
{'bits': [2336L], 'names': ['MNGTARG1']}
In [12]:
cc.qualitybit
Out[12]:
('DRP3QUAL', 0L, None)
In [13]:
spax = cc[10,10]
WARNING: local mode failed. Trying remote now.
In [14]:
# print the spaxel to see the x,y coord from the lower left, and the coords relative to the cube center, x_cen/y_cen
spax
Out[14]:
<Marvin Spaxel (x=10, y=10; x_cen=-7, y_cen=-7>
Spaxels have a spectrum associated with it. It has the wavelengths and fluxes of each spectral channel:
Alternatively grab a spaxel with getSpaxel. Use the xyorig keyword to set the coordinate origin point: 'lower' or 'center'. The default is "center"
In [15]:
# let's grab the central spaxel
spax = cc.getSpaxel(x=0, y=0)
spax
Out[15]:
<Marvin Spaxel (x=17, y=17; x_cen=0, y_cen=0>
In [16]:
spax.spectrum.wavelength
Out[16]:
array([ 3621.59598486, 3622.42998417, 3623.26417553, 3624.098559 ,
3624.93313461, 3625.76790241, 3626.60286245, 3627.43801476,
3628.2733594 , 3629.10889641, 3629.94462583, 3630.7805477 ,
3631.61666208, 3632.45296899, 3633.2894685 , 3634.12616064,
3634.96304546, 3635.800123 , 3636.63739331, 3637.47485643,
3638.3125124 , 3639.15036127, 3639.98840309, 3640.82663789,
3641.66506573, 3642.50368665, 3643.34250068, 3644.18150789,
3645.0207083 , 3645.86010197, 3646.69968894, 3647.53946926,
3648.37944296, 3649.21961009, 3650.05997071, 3650.90052484,
3651.74127255, 3652.58221386, 3653.42334883, 3654.26467751,
3655.10619992, 3655.94791613, 3656.78982617, 3657.63193009,
3658.47422794, 3659.31671975, 3660.15940558, 3661.00228547,
3661.84535945, 3662.68862759, 3663.53208991, 3664.37574648,
3665.21959732, 3666.06364249, 3666.90788204, 3667.75231599,
3668.59694441, 3669.44176734, 3670.28678481, 3671.13199688,
3671.97740359, 3672.82300498, 3673.6688011 , 3674.514792 ,
3675.36097771, 3676.20735829, 3677.05393378, 3677.90070422,
3678.74766966, 3679.59483015, 3680.44218572, 3681.28973643,
3682.13748231, 3682.98542342, 3683.83355979, 3684.68189148,
3685.53041852, 3686.37914097, 3687.22805887, 3688.07717226,
3688.92648119, 3689.7759857 , 3690.62568584, 3691.47558165,
3692.32567319, 3693.17596048, 3694.02644358, 3694.87712254,
3695.72799739, 3696.57906819, 3697.43033498, 3698.2817978 ,
3699.1334567 , 3699.98531173, 3700.83736292, 3701.68961033,
3702.542054 , 3703.39469398, 3704.2475303 , 3705.10056302,
3705.95379218, 3706.80721783, 3707.66084 , 3708.51465876,
3709.36867413, 3710.22288617, 3711.07729493, 3711.93190044,
3712.78670276, 3713.64170192, 3714.49689798, 3715.35229097,
3716.20788095, 3717.06366796, 3717.91965204, 3718.77583325,
3719.63221162, 3720.4887872 , 3721.34556004, 3722.20253018,
3723.05969767, 3723.91706255, 3724.77462486, 3725.63238467,
3726.490342 , 3727.3484969 , 3728.20684943, 3729.06539962,
3729.92414752, 3730.78309318, 3731.64223665, 3732.50157796,
3733.36111716, 3734.2208543 , 3735.08078943, 3735.94092259,
3736.80125382, 3737.66178318, 3738.5225107 , 3739.38343643,
3740.24456042, 3741.10588272, 3741.96740337, 3742.82912241,
3743.69103989, 3744.55315586, 3745.41547036, 3746.27798344,
3747.14069514, 3748.00360552, 3748.86671461, 3749.73002245,
3750.59352911, 3751.45723462, 3752.32113903, 3753.18524238,
3754.04954472, 3754.9140461 , 3755.77874656, 3756.64364614,
3757.5087449 , 3758.37404288, 3759.23954013, 3760.10523668,
3760.9711326 , 3761.83722791, 3762.70352268, 3763.57001694,
3764.43671074, 3765.30360412, 3766.17069714, 3767.03798984,
3767.90548226, 3768.77317445, 3769.64106646, 3770.50915833,
3771.37745011, 3772.24594185, 3773.11463358, 3773.98352537,
3774.85261724, 3775.72190925, 3776.59140145, 3777.46109388,
3778.33098659, 3779.20107962, 3780.07137302, 3780.94186683,
3781.81256111, 3782.68345589, 3783.55455123, 3784.42584717,
3785.29734376, 3786.16904103, 3787.04093905, 3787.91303785,
3788.78533748, 3789.65783799, 3790.53053943, 3791.40344183,
3792.27654525, 3793.14984974, 3794.02335533, 3794.89706208,
3795.77097003, 3796.64507922, 3797.51938971, 3798.39390155,
3799.26861476, 3800.14352942, 3801.01864555, 3801.89396321,
3802.76948244, 3803.64520329, 3804.5211258 , 3805.39725003,
3806.27357601, 3807.1501038 , 3808.02683344, 3808.90376498,
3809.78089846, 3810.65823394, 3811.53577145, 3812.41351104,
3813.29145277, 3814.16959667, 3815.04794279, 3815.92649119,
3816.8052419 , 3817.68419498, 3818.56335046, 3819.4427084 ,
3820.32226884, 3821.20203184, 3822.08199743, 3822.96216566,
3823.84253658, 3824.72311024, 3825.60388668, 3826.48486595,
3827.3660481 , 3828.24743317, 3829.12902121, 3830.01081226,
3830.89280638, 3831.77500361, 3832.657404 , 3833.54000759,
3834.42281443, 3835.30582457, 3836.18903805, 3837.07245492,
3837.95607523, 3838.83989903, 3839.72392635, 3840.60815726,
3841.49259179, 3842.37722999, 3843.26207191, 3844.1471176 ,
3845.03236709, 3845.91782045, 3846.80347772, 3847.68933894,
3848.57540416, 3849.46167342, 3850.34814679, 3851.23482429,
3852.12170598, 3853.00879191, 3853.89608212, 3854.78357666,
3855.67127557, 3856.55917891, 3857.44728672, 3858.33559905,
3859.22411595, 3860.11283745, 3861.00176362, 3861.89089449,
3862.78023011, 3863.66977054, 3864.55951581, 3865.44946598,
3866.33962109, 3867.22998119, 3868.12054633, 3869.01131655,
3869.9022919 , 3870.79347243, 3871.68485819, 3872.57644922,
3873.46824556, 3874.36024728, 3875.25245441, 3876.144867 ,
3877.0374851 , 3877.93030876, 3878.82333802, 3879.71657294,
3880.61001355, 3881.50365991, 3882.39751206, 3883.29157005,
3884.18583393, 3885.08030375, 3885.97497954, 3886.86986137,
3887.76494928, 3888.66024331, 3889.55574352, 3890.45144994,
3891.34736264, 3892.24348164, 3893.13980702, 3894.0363388 ,
3894.93307704, 3895.83002178, 3896.72717308, 3897.62453098,
3898.52209552, 3899.41986677, 3900.31784475, 3901.21602953,
3902.11442114, 3903.01301964, 3903.91182508, 3904.81083749,
3905.71005694, 3906.60948346, 3907.50911711, 3908.40895792,
3909.30900596, 3910.20926127, 3911.10972389, 3912.01039387,
3912.91127127, 3913.81235612, 3914.71364848, 3915.6151484 ,
3916.51685591, 3917.41877108, 3918.32089394, 3919.22322455,
3920.12576295, 3921.02850919, 3921.93146333, 3922.8346254 ,
3923.73799545, 3924.64157353, 3925.5453597 , 3926.449354 ,
3927.35355647, 3928.25796716, 3929.16258613, 3930.06741342,
3930.97244907, 3931.87769315, 3932.78314568, 3933.68880673,
3934.59467634, 3935.50075456, 3936.40704143, 3937.31353701,
3938.22024134, 3939.12715447, 3940.03427645, 3940.94160732,
3941.84914714, 3942.75689596, 3943.66485381, 3944.57302075,
3945.48139683, 3946.3899821 , 3947.2987766 , 3948.20778038,
3949.11699349, 3950.02641598, 3950.93604789, 3951.84588928,
3952.7559402 , 3953.66620068, 3954.57667078, 3955.48735056,
3956.39824004, 3957.30933929, 3958.22064836, 3959.13216728,
3960.04389612, 3960.95583491, 3961.8679837 , 3962.78034255,
3963.69291151, 3964.60569061, 3965.51867992, 3966.43187947,
3967.34528932, 3968.25890951, 3969.17274009, 3970.08678112,
3971.00103264, 3971.91549469, 3972.83016734, 3973.74505061,
3974.66014458, 3975.57544927, 3976.49096475, 3977.40669105,
3978.32262823, 3979.23877634, 3980.15513543, 3981.07170553,
3981.98848672, 3982.90547902, 3983.82268249, 3984.74009718,
3985.65772313, 3986.57556041, 3987.49360904, 3988.41186909,
3989.3303406 , 3990.24902362, 3991.1679182 , 3992.08702439,
3993.00634223, 3993.92587178, 3994.84561308, 3995.76556619,
3996.68573114, 3997.606108 , 3998.52669681, 3999.44749761,
4000.36851046, 4001.28973541, 4002.2111725 , 4003.13282178,
4004.05468331, 4004.97675712, 4005.89904328, 4006.82154182,
4007.7442528 , 4008.66717627, 4009.59031228, 4010.51366087,
4011.43722209, 4012.36099599, 4013.28498263, 4014.20918204,
4015.13359429, 4016.05821941, 4016.98305746, 4017.90810849,
4018.83337254, 4019.75884967, 4020.68453992, 4021.61044334,
4022.53655999, 4023.4628899 , 4024.38943314, 4025.31618974,
4026.24315976, 4027.17034325, 4028.09774026, 4029.02535083,
4029.95317502, 4030.88121287, 4031.80946443, 4032.73792976,
4033.6666089 , 4034.5955019 , 4035.52460881, 4036.45392968,
4037.38346455, 4038.31321349, 4039.24317653, 4040.17335373,
4041.10374513, 4042.0343508 , 4042.96517076, 4043.89620508,
4044.8274538 , 4045.75891697, 4046.69059465, 4047.62248688,
4048.55459371, 4049.48691519, 4050.41945136, 4051.35220229,
4052.28516802, 4053.21834859, 4054.15174407, 4055.08535448,
4056.0191799 , 4056.95322036, 4057.88747592, 4058.82194662,
4059.75663252, 4060.69153366, 4061.62665009, 4062.56198187,
4063.49752904, 4064.43329165, 4065.36926976, 4066.3054634 ,
4067.24187264, 4068.17849752, 4069.11533809, 4070.0523944 ,
4070.9896665 , 4071.92715444, 4072.86485827, 4073.80277804,
4074.7409138 , 4075.67926559, 4076.61783348, 4077.5566175 ,
4078.49561771, 4079.43483416, 4080.3742669 , 4081.31391597,
4082.25378143, 4083.19386333, 4084.13416171, 4085.07467663,
4086.01540814, 4086.95635628, 4087.89752111, 4088.83890268,
4089.78050103, 4090.72231622, 4091.66434829, 4092.6065973 ,
4093.5490633 , 4094.49174633, 4095.43464644, 4096.3777637 ,
4097.32109814, 4098.26464981, 4099.20841877, 4100.15240507,
4101.09660875, 4102.04102987, 4102.98566847, 4103.93052461,
4104.87559834, 4105.8208897 , 4106.76639875, 4107.71212553,
4108.65807011, 4109.60423252, 4110.55061281, 4111.49721105,
4112.44402727, 4113.39106152, 4114.33831387, 4115.28578436,
4116.23347303, 4117.18137994, 4118.12950514, 4119.07784868,
4120.02641061, 4120.97519097, 4121.92418983, 4122.87340723,
4123.82284322, 4124.77249785, 4125.72237117, 4126.67246323,
4127.62277408, 4128.57330378, 4129.52405237, 4130.4750199 ,
4131.42620643, 4132.377612 , 4133.32923666, 4134.28108047,
4135.23314348, 4136.18542573, 4137.13792727, 4138.09064817,
4139.04358846, 4139.9967482 , 4140.95012743, 4141.90372622,
4142.85754461, 4143.81158264, 4144.76584038, 4145.72031787,
4146.67501516, 4147.6299323 , 4148.58506934, 4149.54042634,
4150.49600335, 4151.45180041, 4152.40781757, 4153.36405489,
4154.32051242, 4155.2771902 , 4156.2340883 , 4157.19120675,
4158.14854562, 4159.10610494, 4160.06388478, 4161.02188517,
4161.98010619, 4162.93854786, 4163.89721025, 4164.85609341,
4165.81519738, 4166.77452222, 4167.73406798, 4168.6938347 ,
4169.65382245, 4170.61403127, 4171.57446121, 4172.53511232,
4173.49598465, 4174.45707826, 4175.4183932 , 4176.37992951,
4177.34168725, 4178.30366647, 4179.26586721, 4180.22828954,
4181.1909335 , 4182.15379914, 4183.11688651, 4184.08019567,
4185.04372667, 4186.00747955, 4186.97145437, 4187.93565118,
4188.90007003, 4189.86471097, 4190.82957405, 4191.79465933,
4192.75996685, 4193.72549666, 4194.69124883, 4195.65722339,
4196.6234204 , 4197.58983991, 4198.55648197, 4199.52334664,
4200.49043396, 4201.45774399, 4202.42527677, 4203.39303237,
4204.36101082, 4205.32921218, 4206.29763651, 4207.26628384,
4208.23515425, 4209.20424777, 4210.17356446, 4211.14310436,
4212.11286754, 4213.08285404, 4214.05306391, 4215.02349721,
4215.99415398, 4216.96503429, 4217.93613817, 4218.90746568,
4219.87901687, 4220.8507918 , 4221.82279051, 4222.79501306,
4223.7674595 , 4224.74012988, 4225.71302424, 4226.68614266,
4227.65948516, 4228.63305181, 4229.60684267, 4230.58085777,
4231.55509717, 4232.52956092, 4233.50424908, 4234.47916169,
4235.45429881, 4236.4296605 , 4237.40524679, 4238.38105774,
4239.35709341, 4240.33335385, 4241.3098391 , 4242.28654923,
4243.26348428, 4244.2406443 , 4245.21802934, 4246.19563946,
4247.17347471, 4248.15153515, 4249.12982081, 4250.10833176,
4251.08706805, 4252.06602972, 4253.04521683, 4254.02462944,
4255.00426759, 4255.98413134, 4256.96422073, 4257.94453583,
4258.92507667, 4259.90584332, 4260.88683583, 4261.86805424,
4262.84949862, 4263.831169 , 4264.81306545, 4265.79518802,
4266.77753675, 4267.7601117 , 4268.74291293, 4269.72594048,
4270.70919441, 4271.69267476, 4272.6763816 , 4273.66031497,
4274.64447492, 4275.62886152, 4276.6134748 , 4277.59831482,
4278.58338164, 4279.5686753 , 4280.55419586, 4281.53994337,
4282.52591789, 4283.51211946, 4284.49854814, 4285.48520397,
4286.47208702, 4287.45919734, 4288.44653497, 4289.43409997,
4290.42189239, 4291.40991228, 4292.3981597 , 4293.3866347 ,
4294.37533733, 4295.36426765, 4296.3534257 , 4297.34281154,
4298.33242522, 4299.32226679, 4300.31233631, 4301.30263382,
4302.29315939, 4303.28391306, 4304.27489488, 4305.26610492,
4306.25754321, 4307.24920982, 4308.24110479, 4309.23322819,
4310.22558005, 4311.21816044, 4312.2109694 , 4313.20400699,
4314.19727327, 4315.19076828, 4316.18449207, 4317.17844471,
4318.17262624, 4319.16703671, 4320.16167618, 4321.1565447 ,
4322.15164233, 4323.14696911, 4324.1425251 , 4325.13831035,
4326.13432492, 4327.13056885, 4328.1270422 , 4329.12374503,
4330.12067738, 4331.11783931, 4332.11523087, 4333.11285212,
4334.1107031 , 4335.10878388, 4336.10709449, 4337.105635 ,
4338.10440547, 4339.10340593, 4340.10263645, 4341.10209707,
4342.10178786, 4343.10170886, 4344.10186013, 4345.10224172,
4346.10285368, 4347.10369606, 4348.10476893, 4349.10607232,
4350.10760631, 4351.10937093, 4352.11136624, 4353.1135923 ,
4354.11604915, 4355.11873686, 4356.12165546, 4357.12480503,
4358.12818561, 4359.13179725, 4360.13564 , 4361.13971393,
4362.14401908, 4363.14855551, 4364.15332326, 4365.1583224 ,
4366.16355298, 4367.16901504, 4368.17470865, 4369.18063385,
4370.18679071, 4371.19317926, 4372.19979957, 4373.2066517 ,
4374.21373568, 4375.22105158, 4376.22859945, 4377.23637935,
4378.24439132, 4379.25263542, 4380.2611117 , 4381.26982022,
4382.27876104, 4383.28793419, 4384.29733975, 4385.30697775,
4386.31684826, 4387.32695133, 4388.337287 , 4389.34785535,
4390.35865641, 4391.36969024, 4392.3809569 , 4393.39245644,
4394.40418892, 4395.41615438, 4396.42835288, 4397.44078447,
4398.45344922, 4399.46634716, 4400.47947836, 4401.49284287,
4402.50644074, 4403.52027203, 4404.53433678, 4405.54863507,
4406.56316692, 4407.57793242, 4408.59293159, 4409.60816451,
4410.62363121, 4411.63933177, 4412.65526622, 4413.67143463,
4414.68783705, 4415.70447353, 4416.72134413, 4417.7384489 ,
4418.75578789, 4419.77336116, 4420.79116876, 4421.80921074,
4422.82748717, 4423.84599809, 4424.86474356, 4425.88372363,
4426.90293835, 4427.92238779, 4428.94207199, 4429.961991 ,
4430.98214489, 4432.00253371, 4433.0231575 , 4434.04401633,
4435.06511025, 4436.08643931, 4437.10800357, 4438.12980308,
4439.1518379 , 4440.17410807, 4441.19661366, 4442.21935471,
4443.24233129, 4444.26554344, 4445.28899122, 4446.31267469,
4447.3365939 , 4448.3607489 , 4449.38513975, 4450.4097665 ,
4451.4346292 , 4452.45972792, 4453.4850627 , 4454.5106336 ,
4455.53644067, 4456.56248398, 4457.58876356, 4458.61527948,
4459.64203179, 4460.66902055, 4461.69624581, 4462.72370762,
4463.75140604, 4464.77934113, 4465.80751293, 4466.83592151,
4467.86456691, 4468.8934492 , 4469.92256842, 4470.95192463,
4471.98151789, 4473.01134824, 4474.04141576, 4475.07172048,
4476.10226246, 4477.13304176, 4478.16405844, 4479.19531254,
4480.22680413, 4481.25853325, 4482.29049997, 4483.32270433,
4484.35514639, 4485.38782621, 4486.42074384, 4487.45389933,
4488.48729275, 4489.52092414, 4490.55479356, 4491.58890106,
4492.6232467 , 4493.65783054, 4494.69265263, 4495.72771302,
4496.76301177, 4497.79854893, 4498.83432457, 4499.87033872,
4500.90659146, 4501.94308282, 4502.97981288, 4504.01678168,
4505.05398928, 4506.09143573, 4507.12912109, 4508.16704541,
4509.20520876, 4510.24361117, 4511.28225272, 4512.32113344,
4513.36025341, 4514.39961267, 4515.43921128, 4516.47904929,
4517.51912676, 4518.55944375, 4519.6000003 , 4520.64079649,
4521.68183234, 4522.72310794, 4523.76462332, 4524.80637856,
4525.84837369, 4526.89060877, 4527.93308387, 4528.97579904,
4530.01875432, 4531.06194979, 4532.10538548, 4533.14906146,
4534.19297779, 4535.23713451, 4536.28153169, 4537.32616938,
4538.37104763, 4539.4161665 , 4540.46152605, 4541.50712633,
4542.55296739, 4543.59904929, 4544.6453721 , 4545.69193585,
4546.73874061, 4547.78578644, 4548.83307338, 4549.8806015 ,
4550.92837085, 4551.97638148, 4553.02463346, 4554.07312683,
4555.12186166, 4556.17083799, 4557.22005589, 4558.2695154 ,
4559.31921659, 4560.36915951, 4561.41934422, 4562.46977077,
4563.52043921, 4564.57134961, 4565.62250202, 4566.6738965 ,
4567.72553309, 4568.77741186, 4569.82953286, 4570.88189615,
4571.93450178, 4572.98734981, 4574.0404403 , 4575.0937733 ,
4576.14734886, 4577.20116705, 4578.25522792, 4579.30953152,
4580.36407791, 4581.41886715, 4582.47389928, 4583.52917438,
4584.58469249, 4585.64045367, 4586.69645798, 4587.75270547,
4588.8091962 , 4589.86593022, 4590.92290759, 4591.98012837,
4593.03759261, 4594.09530037, 4595.1532517 , 4596.21144666,
4597.26988531, 4598.3285677 , 4599.38749389, 4600.44666393,
4601.50607789, 4602.56573581, 4603.62563776, 4604.68578379,
4605.74617395, 4606.8068083 , 4607.8676869 , 4608.92880981,
4609.99017708, 4611.05178876, 4612.11364492, 4613.1757456 ,
4614.23809088, 4615.30068079, 4616.3635154 , 4617.42659477,
4618.48991895, 4619.553488 , 4620.61730197, 4621.68136092,
4622.74566491, 4623.81021399, 4624.87500822, 4625.94004766,
4627.00533236, 4628.07086238, 4629.13663778, 4630.2026586 ,
4631.26892492, 4632.33543678, 4633.40219424, 4634.46919736,
4635.5364462 , 4636.60394081, 4637.67168124, 4638.73966756,
4639.80789982, 4640.87637808, 4641.94510239, 4643.01407282,
4644.08328941, 4645.15275223, 4646.22246133, 4647.29241676,
4648.36261859, 4649.43306688, 4650.50376167, 4651.57470302,
4652.645891 , 4653.71732565, 4654.78900705, 4655.86093523,
4656.93311026, 4658.0055322 , 4659.0782011 , 4660.15111702,
4661.22428002, 4662.29769015, 4663.37134747, 4664.44525204,
4665.51940391, 4666.59380314, 4667.66844979, 4668.74334392,
4669.81848558, 4670.89387483, 4671.96951172, 4673.04539632,
4674.12152867, 4675.19790885, 4676.27453689, 4677.35141287,
4678.42853684, 4679.50590885, 4680.58352897, 4681.66139724,
4682.73951374, 4683.8178785 , 4684.8964916 , 4685.97535309,
4687.05446302, 4688.13382145, 4689.21342845, 4690.29328406,
4691.37338835, 4692.45374136, 4693.53434317, 4694.61519383,
4695.69629338, 4696.7776419 , 4697.85923944, 4698.94108605,
4700.0231818 , 4701.10552673, 4702.18812092, 4703.27096441,
4704.35405726, 4705.43739953, 4706.52099128, 4707.60483257,
4708.68892344, 4709.77326397, 4710.8578542 , 4711.9426942 ,
4713.02778402, 4714.11312373, 4715.19871336, 4716.284553 ,
4717.37064268, 4718.45698248, 4719.54357245, 4720.63041264,
4721.71750311, 4722.80484392, 4723.89243513, 4724.9802768 ,
4726.06836898, 4727.15671174, 4728.24530512, 4729.33414919,
4730.423244 , 4731.51258961, 4732.60218609, 4733.69203348,
4734.78213185, 4735.87248125, 4736.96308175, 4738.05393339,
4739.14503624, 4740.23639035, 4741.32799579, 4742.4198526 ,
4743.51196086, 4744.60432061, 4745.69693191, 4746.78979483,
4747.88290942, 4748.97627573, 4750.06989383, 4751.16376378,
4752.25788562, 4753.35225943, 4754.44688525, 4755.54176315,
4756.63689319, 4757.73227541, 4758.82790989, 4759.92379667,
4761.01993582, 4762.1163274 , 4763.21297146, 4764.30986805,
4765.40701725, 4766.50441911, 4767.60207367, 4768.69998102,
4769.79814119, 4770.89655426, 4771.99522027, 4773.09413929,
4774.19331137, 4775.29273658, 4776.39241496, 4777.49234659,
4778.59253152, 4779.6929698 , 4780.79366149, 4781.89460666,
4782.99580536, 4784.09725765, 4785.19896358, 4786.30092323,
4787.40313663, 4788.50560387, 4789.60832498, 4790.71130003,
4791.81452908, 4792.91801219, 4794.02174942, 4795.12574081,
4796.22998644, 4797.33448637, 4798.43924064, 4799.54424932,
4800.64951247, 4801.75503014, 4802.8608024 , 4803.9668293 ,
4805.0731109 , 4806.17964726, 4807.28643844, 4808.3934845 ,
4809.50078549, 4810.60834148, 4811.71615252, 4812.82421868,
4813.93254 , 4815.04111656, 4816.1499484 , 4817.25903559,
4818.36837819, 4819.47797625, 4820.58782984, 4821.69793901,
4822.80830382, 4823.91892433, 4825.0298006 , 4826.14093269,
4827.25232065, 4828.36396455, 4829.47586445, 4830.5880204 ,
4831.70043246, 4832.8131007 , 4833.92602516, 4835.03920592,
4836.15264302, 4837.26633653, 4838.38028651, 4839.49449302,
4840.60895611, 4841.72367584, 4842.83865228, 4843.95388548,
4845.0693755 , 4846.1851224 , 4847.30112624, 4848.41738708,
4849.53390498, 4850.65068 , 4851.76771219, 4852.88500162,
4854.00254834, 4855.12035242, 4856.23841391, 4857.35673288,
4858.47530937, 4859.59414346, 4860.7132352 , 4861.83258465,
4862.95219187, 4864.07205691, 4865.19217985, 4866.31256073,
4867.43319962, 4868.55409658, 4869.67525166, 4870.79666493,
4871.91833644, 4873.04026625, 4874.16245443, 4875.28490103,
4876.40760612, 4877.53056975, 4878.65379197, 4879.77727286,
4880.90101248, 4882.02501087, 4883.1492681 , 4884.27378423,
4885.39855932, 4886.52359343, 4887.64888662, 4888.77443894,
4889.90025046, 4891.02632125, 4892.15265134, 4893.27924082,
4894.40608973, 4895.53319814, 4896.6605661 , 4897.78819368,
4898.91608094, 4900.04422793, 4901.17263472, 4902.30130136,
4903.43022792, 4904.55941445, 4905.68886102, 4906.81856768,
4907.9485345 , 4909.07876153, 4910.20924883, 4911.33999647,
4912.4710045 , 4913.60227299, 4914.73380199, 4915.86559157,
4916.99764178, 4918.12995268, 4919.26252434, 4920.39535681,
4921.52845016, 4922.66180444, 4923.79541972, 4924.92929605,
4926.0634335 , 4927.19783212, 4928.33249197, 4929.46741312,
4930.60259563, 4931.73803955, 4932.87374495, 4934.00971188,
4935.14594041, 4936.28243059, 4937.4191825 , 4938.55619618,
4939.69347169, 4940.83100911, 4941.96880848, 4943.10686987,
4944.24519334, 4945.38377894, 4946.52262675, 4947.66173682,
4948.8011092 , 4949.94074397, 4951.08064118, 4952.22080089,
4953.36122316, 4954.50190805, 4955.64285562, 4956.78406594,
4957.92553906, 4959.06727505, 4960.20927396, 4961.35153586,
4962.4940608 , 4963.63684885, 4964.77990006, 4965.9232145 ,
4967.06679223, 4968.21063331, 4969.3547378 , 4970.49910576,
4971.64373725, 4972.78863233, 4973.93379107, 4975.07921351,
4976.22489973, 4977.37084979, 4978.51706374, 4979.66354164,
4980.81028357, 4981.95728957, 4983.10455971, 4984.25209404,
4985.39989264, 4986.54795556, 4987.69628286, 4988.8448746 ,
4989.99373085, 4991.14285166, 4992.29223709, 4993.44188721,
4994.59180208, 4995.74198176, 4996.89242631, 4998.04313578,
4999.19411025, 5000.34534977, 5001.4968544 , 5002.64862421,
5003.80065925, 5004.95295959, 5006.10552529, 5007.2583564 ,
5008.411453 , 5009.56481513, 5010.71844287, 5011.87233627,
5013.0264954 , 5014.18092031, 5015.33561107, 5016.49056773,
5017.64579037, 5018.80127903, 5019.95703379, 5021.1130547 ,
5022.26934182, 5023.42589522, 5024.58271496, 5025.7398011 ,
5026.89715369, 5028.05477281, 5029.2126585 , 5030.37081085,
5031.52922989, 5032.68791571, 5033.84686835, 5035.00608788,
5036.16557436, 5037.32532786, 5038.48534842, 5039.64563613,
5040.80619103, 5041.96701319, 5043.12810266, 5044.28945952,
5045.45108383, 5046.61297564, 5047.77513501, 5048.93756201,
5050.1002567 , 5051.26321915, 5052.4264494 , 5053.58994753,
5054.7537136 , 5055.91774766, 5057.08204979, 5058.24662003,
5059.41145846, 5060.57656513, 5061.74194011, 5062.90758346,
5064.07349524, 5065.23967551, 5066.40612433, 5067.57284177,
5068.73982789, 5069.90708275, 5071.07460641, 5072.24239893,
5073.41046037, 5074.57879081, 5075.74739029, 5076.91625888,
5078.08539665, 5079.25480365, 5080.42447995, 5081.59442561,
5082.76464068, 5083.93512524, 5085.10587935, 5086.27690306,
5087.44819645, 5088.61975956, 5089.79159247, 5090.96369523,
5092.13606791, 5093.30871057, 5094.48162327, 5095.65480608,
5096.82825905, 5098.00198226, 5099.17597575, 5100.35023959,
5101.52477386, 5102.69957859, 5103.87465387, 5105.04999975,
5106.2256163 , 5107.40150357, 5108.57766163, 5109.75409055,
5110.93079037, 5112.10776118, 5113.28500302, 5114.46251596,
5115.64030007, 5116.8183554 , 5117.99668202, 5119.17528 ,
5120.35414938, 5121.53329024, 5122.71270265, 5123.89238665,
5125.07234231, 5126.2525697 , 5127.43306888, 5128.61383991,
5129.79488286, 5130.97619778, 5132.15778474, 5133.3396438 ,
5134.52177503, 5135.70417848, 5136.88685423, 5138.06980232,
5139.25302283, 5140.43651582, 5141.62028135, 5142.80431949,
5143.98863029, 5145.17321382, 5146.35807014, 5147.54319931,
5148.72860141, 5149.91427648, 5151.1002246 , 5152.28644582,
5153.47294021, 5154.65970783, 5155.84674875, 5157.03406303,
5158.22165072, 5159.4095119 , 5160.59764663, 5161.78605497,
5162.97473698, 5164.16369272, 5165.35292226, 5166.54242567,
5167.732203 , 5168.92225432, 5170.11257969, 5171.30317917,
5172.49405283, 5173.68520073, 5174.87662293, 5176.06831951,
5177.26029051, 5178.452536 , 5179.64505605, 5180.83785072,
5182.03092007, 5183.22426417, 5184.41788308, 5185.61177686,
5186.80594557, 5188.00038929, 5189.19510807, 5190.39010197,
5191.58537106, 5192.78091541, 5193.97673507, 5195.17283011,
5196.36920059, 5197.56584658, 5198.76276814, 5199.95996534,
5201.15743822, 5202.35518687, 5203.55321135, 5204.75151171,
5205.95008802, 5207.14894034, 5208.34806874, 5209.54747329,
5210.74715403, 5211.94711105, 5213.1473444 , 5214.34785414,
5215.54864035, 5216.74970308, 5217.95104239, 5219.15265835,
5220.35455103, 5221.55672049, 5222.75916679, 5223.96188999,
5225.16489016, 5226.36816737, 5227.57172167, 5228.77555313,
5229.97966182, 5231.1840478 , 5232.38871112, 5233.59365187,
5234.79887009, 5236.00436586, 5237.21013923, 5238.41619028,
5239.62251906, 5240.82912564, 5242.03601008, 5243.24317246,
5244.45061282, 5245.65833124, 5246.86632778, 5248.0746025 ,
5249.28315547, 5250.49198675, 5251.7010964 , 5252.9104845 ,
5254.1201511 , 5255.33009627, 5256.54032007, 5257.75082257,
5258.96160382, 5260.17266391, 5261.38400288, 5262.5956208 ,
5263.80751775, 5265.01969377, 5266.23214894, 5267.44488332,
5268.65789697, 5269.87118997, 5271.08476236, 5272.29861423,
5273.51274562, 5274.72715662, 5275.94184727, 5277.15681765,
5278.37206782, 5279.58759784, 5280.80340778, 5282.0194977 ,
5283.23586767, 5284.45251775, 5285.66944801, 5286.88665851,
5288.10414931, 5289.32192049, 5290.5399721 , 5291.7583042 ,
5292.97691687, 5294.19581017, 5295.41498417, 5296.63443892,
5297.85417449, 5299.07419095, 5300.29448836, 5301.51506678,
5302.73592629, 5303.95706695, 5305.17848881, 5306.40019195,
5307.62217643, 5308.84444231, 5310.06698966, 5311.28981855,
5312.51292904, 5313.73632119, 5314.95999507, 5316.18395074,
5317.40818827, 5318.63270773, 5319.85750917, 5321.08259267,
5322.30795828, 5323.53360608, 5324.75953613, 5325.98574849,
5327.21224323, 5328.43902041, 5329.6660801 , 5330.89342237,
5332.12104727, 5333.34895488, 5334.57714525, 5335.80561846,
5337.03437457, 5338.26341364, 5339.49273574, 5340.72234094,
5341.95222929, 5343.18240087, 5344.41285574, 5345.64359397,
5346.87461562, 5348.10592075, 5349.33750943, 5350.56938173,
5351.80153771, 5353.03397744, 5354.26670098, 5355.4997084 ,
5356.73299976, 5357.96657513, 5359.20043458, 5360.43457816,
5361.66900595, 5362.90371801, 5364.1387144 , 5365.3739952 ,
5366.60956046, 5367.84541026, 5369.08154465, 5370.3179637 ,
5371.55466749, 5372.79165607, 5374.0289295 , 5375.26648787,
5376.50433122, 5377.74245963, 5378.98087317, 5380.21957189,
5381.45855587, 5382.69782516, 5383.93737984, 5385.17721998,
5386.41734562, 5387.65775685, 5388.89845373, 5390.13943633,
5391.3807047 , 5392.62225892, 5393.86409904, 5395.10622515,
5396.3486373 , 5397.59133556, 5398.83431999, 5400.07759067,
5401.32114765, 5402.564991 , 5403.80912079, 5405.05353709,
5406.29823995, 5407.54322946, 5408.78850566, 5410.03406863,
5411.27991844, 5412.52605515, 5413.77247883, 5415.01918953,
5416.26618734, 5417.51347231, 5418.76104452, 5420.00890402,
5421.25705088, 5422.50548517, 5423.75420696, 5425.00321631,
5426.25251329, 5427.50209796, 5428.7519704 , 5430.00213066,
5431.25257881, 5432.50331492, 5433.75433906, 5435.00565129,
5436.25725168, 5437.5091403 , 5438.7613172 , 5440.01378247,
5441.26653615, 5442.51957833, 5443.77290907, 5445.02652842,
5446.28043647, 5447.53463328, 5448.7891189 , 5450.04389342,
5451.29895689, 5452.55430938, 5453.80995097, 5455.0658817 ,
5456.32210166, 5457.57861091, 5458.83540952, 5460.09249754,
5461.34987506, 5462.60754213, 5463.86549882, 5465.1237452 ,
5466.38228133, 5467.64110729, 5468.90022314, 5470.15962894,
5471.41932476, 5472.67931068, 5473.93958675, 5475.20015304,
5476.46100962, 5477.72215656, 5478.98359392, 5480.24532177,
5481.50734018, 5482.76964921, 5484.03224893, 5485.29513941,
5486.55832072, 5487.82179291, 5489.08555607, 5490.34961025,
5491.61395553, 5492.87859196, 5494.14351962, 5495.40873858,
5496.67424889, 5497.94005064, 5499.20614387, 5500.47252868,
5501.73920511, 5503.00617323, 5504.27343313, 5505.54098485,
5506.80882847, 5508.07696405, 5509.34539167, 5510.61411139,
5511.88312328, 5513.1524274 , 5514.42202382, 5515.69191261,
5516.96209383, 5518.23256757, 5519.50333387, 5520.77439281,
5522.04574445, 5523.31738887, 5524.58932613, 5525.8615563 ,
5527.13407944, 5528.40689563, 5529.68000493, 5530.9534074 ,
5532.22710312, 5533.50109216, 5534.77537457, 5536.04995043,
5537.32481981, 5538.59998277, 5539.87543939, 5541.15118972,
5542.42723383, 5543.7035718 , 5544.9802037 , 5546.25712958,
5547.53434952, 5548.81186358, 5550.08967184, 5551.36777435,
5552.6461712 , 5553.92486243, 5555.20384814, 5556.48312837,
5557.7627032 , 5559.0425727 , 5560.32273694, 5561.60319598,
5562.88394988, 5564.16499873, 5565.44634258, 5566.72798151,
5568.00991558, 5569.29214486, 5570.57466942, 5571.85748932,
5573.14060464, 5574.42401544, 5575.70772179, 5576.99172376,
5578.27602141, 5579.56061482, 5580.84550405, 5582.13068918,
5583.41617026, 5584.70194737, 5585.98802057, 5587.27438994,
5588.56105554, 5589.84801744, 5591.13527571, 5592.42283041,
5593.71068162, 5594.9988294 , 5596.28727382, 5597.57601495,
5598.86505286, 5600.15438762, 5601.44401929, 5602.73394794,
5604.02417364, 5605.31469647, 5606.60551648, 5607.89663375,
5609.18804834, 5610.47976032, 5611.77176977, 5613.06407675,
5614.35668133, 5615.64958358, 5616.94278356, 5618.23628134,
5619.530077 , 5620.8241706 , 5622.11856221, 5623.4132519 ,
5624.70823974, 5626.0035258 , 5627.29911013, 5628.59499283,
5629.89117394, 5631.18765355, 5632.48443171, 5633.78150851,
5635.078884 , 5636.37655826, 5637.67453135, 5638.97280335,
5640.27137432, 5641.57024433, 5642.86941345, 5644.16888175,
5645.4686493 , 5646.76871617, 5648.06908242, 5649.36974812,
5650.67071335, 5651.97197818, 5653.27354266, 5654.57540688,
5655.87757089, 5657.18003478, 5658.4827986 , 5659.78586243,
5661.08922633, 5662.39289038, 5663.69685465, 5665.0011192 ,
5666.3056841 , 5667.61054942, 5668.91571523, 5670.22118161,
5671.52694861, 5672.83301631, 5674.13938478, 5675.44605409,
5676.7530243 , 5678.06029549, 5679.36786772, 5680.67574107,
5681.9839156 , 5683.29239138, 5684.60116849, 5685.91024699,
5687.21962695, 5688.52930844, 5689.83929153, 5691.14957629,
5692.46016279, 5693.77105109, 5695.08224128, 5696.39373341,
5697.70552756, 5699.0176238 , 5700.33002219, 5701.64272281,
5702.95572572, 5704.269031 , 5705.58263871, 5706.89654893,
5708.21076172, 5709.52527715, 5710.8400953 , 5712.15521623,
5713.47064001, 5714.78636672, 5716.10239642, 5717.41872918,
5718.73536507, 5720.05230416, 5721.36954652, 5722.68709223,
5724.00494134, 5725.32309394, 5726.64155009, 5727.96030986,
5729.27937332, 5730.59874054, 5731.91841159, 5733.23838654,
5734.55866546, 5735.87924842, 5737.20013549, 5738.52132675,
5739.84282225, 5741.16462207, 5742.48672629, 5743.80913496,
5745.13184817, 5746.45486598, 5747.77818846, 5749.10181568,
5750.42574771, 5751.74998462, 5753.07452648, 5754.39937337,
5755.72452535, 5757.04998249, 5758.37574487, 5759.70181255,
5761.0281856 , 5762.35486409, 5763.6818481 , 5765.0091377 ,
5766.33673295, 5767.66463392, 5768.99284069, 5770.32135333,
5771.6501719 , 5772.97929648, 5774.30872714, 5775.63846395,
5776.96850697, 5778.29885628, 5779.62951195, 5780.96047406,
5782.29174266, 5783.62331783, 5784.95519965, 5786.28738818,
5787.61988349, 5788.95268566, 5790.28579475, 5791.61921083,
5792.95293398, 5794.28696427, 5795.62130176, 5796.95594654,
5798.29089866, 5799.6261582 , 5800.96172523, 5802.29759982,
5803.63378204, 5804.97027197, 5806.30706967, 5807.64417521,
5808.98158867, 5810.31931012, 5811.65733962, 5812.99567725,
5814.33432308, 5815.67327719, 5817.01253963, 5818.35211048,
5819.69198982, 5821.03217771, 5822.37267422, 5823.71347944,
5825.05459342, 5826.39601624, 5827.73774796, 5829.07978867,
5830.42213843, 5831.76479732, 5833.10776539, 5834.45104274,
5835.79462942, 5837.13852551, 5838.48273107, 5839.82724619,
5841.17207093, 5842.51720536, 5843.86264956, 5845.20840359,
5846.55446753, 5847.90084144, 5849.24752541, 5850.5945195 ,
5851.94182378, 5853.28943833, 5854.63736321, 5855.98559849,
5857.33414426, 5858.68300057, 5860.03216751, 5861.38164514,
5862.73143353, 5864.08153276, 5865.4319429 , 5866.78266402,
5868.13369619, 5869.48503948, 5870.83669396, 5872.18865971,
5873.5409368 , 5874.8935253 , 5876.24642528, 5877.59963681,
5878.95315996, 5880.30699481, 5881.66114143, 5883.01559989,
5884.37037026, 5885.72545261, 5887.08084702, 5888.43655356,
5889.79257229, 5891.1489033 , 5892.50554664, 5893.86250241,
5895.21977065, 5896.57735146, 5897.9352449 , 5899.29345104,
5900.65196996, 5902.01080172, 5903.3699464 , 5904.72940407,
5906.0891748 , 5907.44925867, 5908.80965575, 5910.1703661 ,
5911.53138981, 5912.89272694, 5914.25437756, 5915.61634175,
5916.97861959, 5918.34121113, 5919.70411646, 5921.06733565,
5922.43086876, 5923.79471588, 5925.15887707, 5926.5233524 ,
5927.88814196, 5929.2532458 , 5930.61866401, 5931.98439665,
5933.3504438 , 5934.71680553, 5936.08348191, 5937.45047302,
5938.81777893, 5940.1853997 , 5941.55333542, 5942.92158616,
5944.29015198, 5945.65903296, 5947.02822917, 5948.39774069,
5949.76756759, 5951.13770994, 5952.50816781, 5953.87894128,
5955.25003041, 5956.62143529, 5957.99315598, 5959.36519256,
5960.7375451 , 5962.11021367, 5963.48319834, 5964.85649919,
5966.2301163 , 5967.60404972, 5968.97829955, 5970.35286584,
5971.72774867, 5973.10294812, 5974.47846426, 5975.85429716,
5977.23044689, 5978.60691352, 5979.98369714, 5981.36079781,
5982.73821561, 5984.1159506 , 5985.49400287, 5986.87237248,
5988.25105951, 5989.63006403, 5991.00938611, 5992.38902583,
5993.76898327, 5995.14925848, 5996.52985155, 5997.91076256,
5999.29199156, 6000.67353864, 6002.05540387, 6003.43758733,
6004.82008908, 6006.20290919, 6007.58604776, 6008.96950483,
6010.3532805 , 6011.73737483, 6013.1217879 , 6014.50651978,
6015.89157053, 6017.27694025, 6018.662629 , 6020.04863684,
6021.43496387, 6022.82161015, 6024.20857575, 6025.59586074,
6026.98346521, 6028.37138922, 6029.75963286, 6031.14819618,
6032.53707927, 6033.92628219, 6035.31580503, 6036.70564786,
6038.09581074, 6039.48629376, 6040.87709699, 6042.2682205 ,
6043.65966436, 6045.05142865, 6046.44351345, 6047.83591882,
6049.22864484, 6050.62169158, 6052.01505913, 6053.40874754,
6054.8027569 , 6056.19708728, 6057.59173875, 6058.98671139,
6060.38200527, 6061.77762047, 6063.17355705, 6064.5698151 ,
6065.96639469, 6067.36329589, 6068.76051877, 6070.15806341,
6071.55592989, 6072.95411827, 6074.35262864, 6075.75146106,
6077.15061561, 6078.55009237, 6079.9498914 , 6081.35001279,
6082.7504566 , 6084.15122292, 6085.55231181, 6086.95372335,
6088.35545761, 6089.75751468, 6091.15989461, 6092.5625975 ,
6093.9656234 , 6095.3689724 , 6096.77264457, 6098.17663999,
6099.58095872, 6100.98560085, 6102.39056645, 6103.79585559,
6105.20146834, 6106.60740479, 6108.013665 , 6109.42024906,
6110.82715702, 6112.23438898, 6113.64194501, 6115.04982517,
6116.45802955, 6117.86655821, 6119.27541124, 6120.6845887 ,
6122.09409068, 6123.50391725, 6124.91406847, 6126.32454444,
6127.73534521, 6129.14647088, 6130.5579215 , 6131.96969716,
6133.38179793, 6134.79422388, 6136.2069751 , 6137.62005165,
6139.03345361, 6140.44718106, 6141.86123406, 6143.27561271,
6144.69031706, 6146.1053472 , 6147.52070319, 6148.93638513,
6150.35239307, 6151.7687271 , 6153.18538729, 6154.60237371,
6156.01968645, 6157.43732557, 6158.85529115, 6160.27358327,
6161.692202 , 6163.11114742, 6164.5304196 , 6165.95001861,
6167.36994454, 6168.79019746, 6170.21077744, 6171.63168456,
6173.05291889, 6174.47448051, 6175.89636949, 6177.31858592,
6178.74112985, 6180.16400138, 6181.58720058, 6183.01072752,
6184.43458227, 6185.85876492, 6187.28327553, 6188.70811419,
6190.13328097, 6191.55877594, 6192.98459918, 6194.41075077,
6195.83723078, 6197.26403928, 6198.69117636, 6200.11864209,
6201.54643654, 6202.97455979, 6204.40301191, 6205.83179299,
6207.26090309, 6208.6903423 , 6210.12011069, 6211.55020832,
6212.98063529, 6214.41139167, 6215.84247753, 6217.27389294,
6218.70563799, 6220.13771274, 6221.57011729, 6223.00285169,
6224.43591603, 6225.86931039, 6227.30303483, 6228.73708944,
6230.17147429, 6231.60618946, 6233.04123502, 6234.47661105,
6235.91231763, 6237.34835482, 6238.78472272, 6240.22142139,
6241.65845091, 6243.09581136, 6244.53350281, 6245.97152533,
6247.40987902, 6248.84856393, 6250.28758015, 6251.72692776,
6253.16660682, 6254.60661742, 6256.04695964, 6257.48763354,
6258.92863921, 6260.36997673, 6261.81164616, 6263.25364758,
6264.69598108, 6266.13864672, 6267.58164459, 6269.02497476,
6270.46863731, 6271.91263231, 6273.35695984, 6274.80161998,
6276.2466128 , 6277.69193838, 6279.1375968 , 6280.58358813,
6282.02991246, 6283.47656984, 6284.92356038, 6286.37088413,
6287.81854118, 6289.2665316 , 6290.71485548, 6292.16351288,
6293.61250389, 6295.06182857, 6296.51148702, 6297.9614793 ,
6299.41180549, 6300.86246566, 6302.31345991, 6303.76478829,
6305.2164509 , 6306.6684478 , 6308.12077908, 6309.5734448 ,
6311.02644505, 6312.47977991, 6313.93344945, 6315.38745374,
6316.84179288, 6318.29646692, 6319.75147595, 6321.20682005,
6322.6624993 , 6324.11851376, 6325.57486353, 6327.03154867,
6328.48856926, 6329.94592538, 6331.40361711, 6332.86164452,
6334.3200077 , 6335.77870671, 6337.23774164, 6338.69711257,
6340.15681957, 6341.61686271, 6343.07724208, 6344.53795776,
6345.99900981, 6347.46039833, 6348.92212338, 6350.38418504,
6351.84658339, 6353.30931852, 6354.77239049, 6356.23579938,
6357.69954527, 6359.16362824, 6360.62804837, 6362.09280574,
6363.55790041, 6365.02333247, 6366.489102 , 6367.95520908,
6369.42165378, 6370.88843618, 6372.35555635, 6373.82301438,
6375.29081035, 6376.75894433, 6378.22741639, 6379.69622663,
6381.1653751 , 6382.63486191, 6384.10468711, 6385.57485079,
6387.04535303, 6388.5161939 , 6389.98737348, 6391.45889186,
6392.9307491 , 6394.40294529, 6395.87548051, 6397.34835483,
6398.82156833, 6400.29512108, 6401.76901318, 6403.24324469,
6404.71781569, 6406.19272627, 6407.66797649, 6409.14356645,
6410.61949621, 6412.09576585, 6413.57237546, 6415.04932511,
6416.52661487, 6418.00424484, 6419.48221508, 6420.96052568,
6422.4391767 , 6423.91816824, 6425.39750037, 6426.87717317,
6428.35718671, 6429.83754108, 6431.31823635, 6432.79927261,
6434.28064992, 6435.76236838, 6437.24442805, 6438.72682901,
6440.20957136, 6441.69265515, 6443.17608048, 6444.65984742,
6446.14395604, 6447.62840644, 6449.11319868, 6450.59833285,
6452.08380902, 6453.56962727, 6455.05578769, 6456.54229035,
6458.02913532, 6459.5163227 , 6461.00385255, 6462.49172495,
6463.97994 , 6465.46849775, 6466.9573983 , 6468.44664172,
6469.93622809, 6471.42615749, 6472.91642999, 6474.40704569,
6475.89800465, 6477.38930696, 6478.88095269, 6480.37294192,
6481.86527474, 6483.35795122, 6484.85097144, 6486.34433548,
6487.83804342, 6489.33209534, 6490.82649132, 6492.32123143,
6493.81631576, 6495.31174439, 6496.80751739, 6498.30363484,
6499.80009683, 6501.29690343, 6502.79405472, 6504.29155079,
6505.7893917 , 6507.28757755, 6508.7861084 , 6510.28498435,
6511.78420546, 6513.28377182, 6514.78368351, 6516.28394061,
6517.78454319, 6519.28549134, 6520.78678514, 6522.28842466,
6523.79040998, 6525.29274119, 6526.79541837, 6528.29844159,
6529.80181093, 6531.30552647, 6532.8095883 , 6534.3139965 ,
6535.81875113, 6537.32385229, 6538.82930005, 6540.33509449,
6541.84123569, 6543.34772374, 6544.8545587 , 6546.36174067,
6547.86926972, 6549.37714593, 6550.88536939, 6552.39394016,
6553.90285833, 6555.41212399, 6556.92173721, 6558.43169807,
6559.94200665, 6561.45266303, 6562.96366729, 6564.47501952,
6565.98671978, 6567.49876817, 6569.01116476, 6570.52390964,
6572.03700287, 6573.55044455, 6575.06423475, 6576.57837355,
6578.09286104, 6579.60769729, 6581.12288239, 6582.63841641,
6584.15429943, 6585.67053154, 6587.18711282, 6588.70404334,
6590.22132319, 6591.73895244, 6593.25693119, 6594.77525949,
6596.29393745, 6597.81296514, 6599.33234264, 6600.85207002,
6602.37214738, 6603.89257479, 6605.41335232, 6606.93448008,
6608.45595812, 6609.97778654, 6611.49996541, 6613.02249482,
6614.54537484, 6616.06860556, 6617.59218706, 6619.11611941,
6620.6404027 , 6622.16503702, 6623.69002243, 6625.21535903,
6626.74104688, 6628.26708608, 6629.79347671, 6631.32021884,
6632.84731255, 6634.37475793, 6635.90255506, 6637.43070402,
6638.95920489, 6640.48805775, 6642.01726268, 6643.54681976,
6645.07672908, 6646.60699071, 6648.13760474, 6649.66857125,
6651.19989031, 6652.73156202, 6654.26358644, 6655.79596367,
6657.32869378, 6658.86177686, 6660.39521298, 6661.92900223,
6663.46314469, 6664.99764044, 6666.53248956, 6668.06769214,
6669.60324824, 6671.13915797, 6672.67542139, 6674.21203858,
6675.74900964, 6677.28633464, 6678.82401367, 6680.36204679,
6681.90043411, 6683.43917569, 6684.97827162, 6686.51772198,
6688.05752685, 6689.59768632, 6691.13820046, 6692.67906936,
6694.2202931 , 6695.76187176, 6697.30380542, 6698.84609417,
6700.38873808, 6701.93173724, 6703.47509173, 6705.01880163,
6706.56286702, 6708.10728799, 6709.65206462, 6711.19719698,
6712.74268517, 6714.28852926, 6715.83472933, 6717.38128547,
6718.92819776, 6720.47546628, 6722.02309112, 6723.57107234,
6725.11941005, 6726.66810431, 6728.21715522, 6729.76656284,
6731.31632728, 6732.8664486 , 6734.41692689, 6735.96776223,
6737.51895471, 6739.0705044 , 6740.62241139, 6742.17467576,
6743.7272976 , 6745.28027698, 6746.83361399, 6748.38730871,
6749.94136122, 6751.49577161, 6753.05053995, 6754.60566634,
6756.16115084, 6757.71699355, 6759.27319455, 6760.82975392,
6762.38667174, 6763.9439481 , 6765.50158307, 6767.05957674,
6768.6179292 , 6770.17664052, 6771.73571079, 6773.29514009,
6774.8549285 , 6776.41507611, 6777.97558299, 6779.53644924,
6781.09767493, 6782.65926015, 6784.22120498, 6785.7835095 ,
6787.3461738 , 6788.90919796, 6790.47258205, 6792.03632617,
6793.6004304 , 6795.16489482, 6796.7297195 , 6798.29490455,
6799.86045003, 6801.42635604, 6802.99262265, 6804.55924995,
6806.12623801, 6807.69358694, 6809.2612968 , 6810.82936768,
6812.39779966, 6813.96659283, 6815.53574727, 6817.10526306,
6818.67514029, 6820.24537903, 6821.81597938, 6823.38694142,
6824.95826522, 6826.52995088, 6828.10199847, 6829.67440808,
6831.24717979, 6832.82031369, 6834.39380986, 6835.96766838,
6837.54188934, 6839.11647281, 6840.69141889, 6842.26672766,
6843.8423992 , 6845.41843358, 6846.99483091, 6848.57159126,
6850.14871471, 6851.72620135, 6853.30405126, 6854.88226453,
6856.46084123, 6858.03978146, 6859.61908529, 6861.19875282,
6862.77878411, 6864.35917927, 6865.93993837, 6867.52106149,
6869.10254872, 6870.68440014, 6872.26661584, 6873.8491959 ,
6875.43214041, 6877.01544944, 6878.59912309, 6880.18316143,
6881.76756455, 6883.35233254, 6884.93746548, 6886.52296344,
6888.10882653, 6889.69505481, 6891.28164838, 6892.86860732,
6894.45593171, 6896.04362164, 6897.63167719, 6899.22009844,
6900.80888548, 6902.3980384 , 6903.98755728, 6905.5774422 ,
6907.16769324, 6908.7583105 , 6910.34929405, 6911.94064398,
6913.53236038, 6915.12444332, 6916.7168929 , 6918.30970919,
6919.90289228, 6921.49644227, 6923.09035922, 6924.68464323,
6926.27929437, 6927.87431275, 6929.46969843, 6931.0654515 ,
6932.66157205, 6934.25806017, 6935.85491593, 6937.45213942,
6939.04973073, 6940.64768994, 6942.24601714, 6943.84471241,
6945.44377583, 6947.0432075 , 6948.64300749, 6950.24317589,
6951.84371278, 6953.44461826, 6955.0458924 , 6956.64753528,
6958.24954701, 6959.85192765, 6961.45467729, 6963.05779603,
6964.66128394, 6966.26514111, 6967.86936762, 6969.47396356,
6971.07892902, 6972.68426408, 6974.28996882, 6975.89604333,
6977.50248769, 6979.109302 , 6980.71648633, 6982.32404077,
6983.93196541, 6985.54026033, 6987.14892561, 6988.75796135,
6990.36736762, 6991.97714451, 6993.58729212, 6995.19781051,
6996.80869979, 6998.41996002, 7000.03159131, 7001.64359373,
7003.25596737, 7004.86871232, 7006.48182865, 7008.09531647,
7009.70917584, 7011.32340687, 7012.93800962, 7014.5529842 ,
7016.16833068, 7017.78404915, 7019.4001397 , 7021.0166024 ,
7022.63343736, 7024.25064465, 7025.86822435, 7027.48617656,
7029.10450136, 7030.72319884, 7032.34226908, 7033.96171216,
7035.58152818, 7037.20171722, 7038.82227936, 7040.4432147 ,
7042.06452331, 7043.68620529, 7045.30826071, 7046.93068967,
7048.55349225, 7050.17666854, 7051.80021862, 7053.42414258,
7055.04844051, 7056.67311248, 7058.2981586 , 7059.92357894,
7061.54937359, 7063.17554263, 7064.80208616, 7066.42900425,
7068.056297 , 7069.68396449, 7071.31200681, 7072.94042405,
7074.56921628, 7076.1983836 , 7077.82792609, 7079.45784384,
7081.08813694, 7082.71880547, 7084.34984952, 7085.98126917,
7087.61306451, 7089.24523563, 7090.87778262, 7092.51070556,
7094.14400453, 7095.77767963, 7097.41173094, 7099.04615855,
7100.68096255, 7102.31614301, 7103.95170003, 7105.58763369,
7107.22394409, 7108.8606313 , 7110.49769542, 7112.13513653,
7113.77295472, 7115.41115007, 7117.04972268, 7118.68867262,
7120.32799999, 7121.96770487, 7123.60778736, 7125.24824752,
7126.88908546, 7128.53030127, 7130.17189501, 7131.8138668 ,
7133.4562167 , 7135.09894482, 7136.74205122, 7138.38553602,
7140.02939928, 7141.6736411 , 7143.31826156, 7144.96326076,
7146.60863877, 7148.25439569, 7149.9005316 , 7151.54704659,
7153.19394075, 7154.84121417, 7156.48886693, 7158.13689911,
7159.78531082, 7161.43410213, 7163.08327313, 7164.73282391,
7166.38275456, 7168.03306516, 7169.6837558 , 7171.33482658,
7172.98627757, 7174.63810886, 7176.29032055, 7177.94291271,
7179.59588545, 7181.24923883, 7182.90297297, 7184.55708793,
7186.2115838 , 7187.86646069, 7189.52171867, 7191.17735783,
7192.83337825, 7194.48978004, 7196.14656327, 7197.80372803,
7199.46127441, 7201.1192025 , 7202.77751238, 7204.43620415,
7206.09527789, 7207.7547337 , 7209.41457164, 7211.07479183,
7212.73539434, 7214.39637926, 7216.05774668, 7217.71949669,
7219.38162937, 7221.04414482, 7222.70704312, 7224.37032436,
7226.03398863, 7227.69803602, 7229.36246661, 7231.0272805 ,
7232.69247777, 7234.35805851, 7236.0240228 , 7237.69037075,
7239.35710242, 7241.02421792, 7242.69171734, 7244.35960075,
7246.02786825, 7247.69651993, 7249.36555587, 7251.03497617,
7252.70478091, 7254.37497018, 7256.04554408, 7257.71650267,
7259.38784607, 7261.05957435, 7262.73168761, 7264.40418592,
7266.07706939, 7267.7503381 , 7269.42399214, 7271.0980316 ,
7272.77245656, 7274.44726711, 7276.12246336, 7277.79804537,
7279.47401324, 7281.15036707, 7282.82710693, 7284.50423292,
7286.18174513, 7287.85964365, 7289.53792856, 7291.21659995,
7292.89565792, 7294.57510255, 7296.25493393, 7297.93515214,
7299.61575729, 7301.29674946, 7302.97812873, 7304.6598952 ,
7306.34204896, 7308.02459009, 7309.70751869, 7311.39083483,
7313.07453862, 7314.75863015, 7316.44310949, 7318.12797674,
7319.813232 , 7321.49887534, 7323.18490686, 7324.87132665,
7326.5581348 , 7328.24533139, 7329.93291652, 7331.62089027,
7333.30925274, 7334.99800402, 7336.68714418, 7338.37667334,
7340.06659156, 7341.75689895, 7343.44759559, 7345.13868157,
7346.83015699, 7348.52202192, 7350.21427647, 7351.90692072,
7353.59995475, 7355.29337867, 7356.98719256, 7358.68139651,
7360.37599061, 7362.07097495, 7363.76634962, 7365.4621147 ,
7367.1582703 , 7368.85481649, 7370.55175338, 7372.24908104,
7373.94679958, 7375.64490907, 7377.34340961, 7379.04230129,
7380.7415842 , 7382.44125843, 7384.14132407, 7385.84178121,
7387.54262994, 7389.24387034, 7390.94550252, 7392.64752656,
7394.34994255, 7396.05275058, 7397.75595074, 7399.45954313,
7401.16352782, 7402.86790492, 7404.57267451, 7406.27783668,
7407.98339153, 7409.68933914, 7411.3956796 , 7413.10241301,
7414.80953945, 7416.51705902, 7418.22497181, 7419.9332779 ,
7421.64197739, 7423.35107037, 7425.06055692, 7426.77043715,
7428.48071113, 7430.19137897, 7431.90244074, 7433.61389655,
7435.32574648, 7437.03799063, 7438.75062908, 7440.46366192,
7442.17708925, 7443.89091115, 7445.60512773, 7447.31973906,
7449.03474524, 7450.75014636, 7452.46594252, 7454.18213379,
7455.89872028, 7457.61570207, 7459.33307926, 7461.05085193,
7462.76902018, 7464.4875841 , 7466.20654378, 7467.92589931,
7469.64565078, 7471.36579828, 7473.08634191, 7474.80728176,
7476.52861791, 7478.25035046, 7479.97247949, 7481.69500511,
7483.4179274 , 7485.14124645, 7486.86496236, 7488.58907522,
7490.31358511, 7492.03849213, 7493.76379637, 7495.48949792,
7497.21559687, 7498.94209332, 7500.66898736, 7502.39627907,
7504.12396856, 7505.8520559 , 7507.5805412 , 7509.30942454,
7511.03870602, 7512.76838572, 7514.49846375, 7516.22894018,
7517.95981512, 7519.69108865, 7521.42276087, 7523.15483187,
7524.88730174, 7526.62017056, 7528.35343845, 7530.08710548,
7531.82117174, 7533.55563734, 7535.29050235, 7537.02576688,
7538.76143102, 7540.49749485, 7542.23395848, 7543.97082198,
7545.70808546, 7547.445749 , 7549.1838127 , 7550.92227665,
7552.66114095, 7554.40040568, 7556.14007093, 7557.8801368 ,
7559.62060339, 7561.36147078, 7563.10273906, 7564.84440833,
7566.58647868, 7568.32895021, 7570.071823 , 7571.81509715,
7573.55877274, 7575.30284988, 7577.04732866, 7578.79220916,
7580.53749148, 7582.28317572, 7584.02926196, 7585.77575029,
7587.52264082, 7589.26993363, 7591.01762881, 7592.76572647,
7594.51422668, 7596.26312955, 7598.01243516, 7599.76214361,
7601.51225499, 7603.2627694 , 7605.01368693, 7606.76500766,
7608.5167317 , 7610.26885913, 7612.02139006, 7613.77432456,
7615.52766274, 7617.28140469, 7619.03555049, 7620.79010025,
7622.54505406, 7624.30041201, 7626.05617419, 7627.81234069,
7629.56891162, 7631.32588705, 7633.08326709, 7634.84105183,
7636.59924136, 7638.35783578, 7640.11683517, 7641.87623963,
7643.63604926, 7645.39626415, 7647.15688439, 7648.91791007,
7650.67934129, 7652.44117814, 7654.20342072, 7655.96606911,
7657.72912342, 7659.49258373, 7661.25645014, 7663.02072274,
7664.78540163, 7666.55048689, 7668.31597863, 7670.08187694,
7671.8481819 , 7673.61489362, 7675.38201218, 7677.14953769,
7678.91747023, 7680.6858099 , 7682.45455679, 7684.223711 ,
7685.99327262, 7687.76324174, 7689.53361846, 7691.30440287,
7693.07559506, 7694.84719513, 7696.61920318, 7698.39161929,
7700.16444357, 7701.9376761 , 7703.71131698, 7705.4853663 ,
7707.25982416, 7709.03469064, 7710.80996586, 7712.58564989,
7714.36174284, 7716.13824479, 7717.91515585, 7719.6924761 ,
7721.47020565, 7723.24834457, 7725.02689298, 7726.80585096,
7728.5852186 , 7730.36499601, 7732.14518328, 7733.92578049,
7735.70678775, 7737.48820515, 7739.27003278, 7741.05227074,
7742.83491912, 7744.61797803, 7746.40144754, 7748.18532776,
7749.96961878, 7751.75432069, 7753.5394336 , 7755.32495759,
7757.11089276, 7758.8972392 , 7760.68399701, 7762.47116629,
7764.25874712, 7766.04673961, 7767.83514384, 7769.62395992,
7771.41318794, 7773.20282798, 7774.99288016, 7776.78334456,
7778.57422127, 7780.3655104 , 7782.15721203, 7783.94932627,
7785.7418532 , 7787.53479292, 7789.32814554, 7791.12191113,
7792.9160898 , 7794.71068165, 7796.50568676, 7798.30110523,
7800.09693717, 7801.89318265, 7803.68984178, 7805.48691466,
7807.28440138, 7809.08230203, 7810.88061671, 7812.67934552,
7814.47848854, 7816.27804588, 7818.07801764, 7819.87840389,
7821.67920476, 7823.48042031, 7825.28205067, 7827.08409591,
7828.88655613, 7830.68943143, 7832.49272191, 7834.29642766,
7836.10054878, 7837.90508536, 7839.71003749, 7841.51540528,
7843.32118882, 7845.1273882 , 7846.93400353, 7848.74103489,
7850.54848238, 7852.3563461 , 7854.16462615, 7855.97332261,
7857.78243559, 7859.59196518, 7861.40191148, 7863.21227458,
7865.02305459, 7866.83425158, 7868.64586567, 7870.45789695,
7872.27034551, 7874.08321145, 7875.89649487, 7877.71019586,
7879.52431451, 7881.33885093, 7883.15380522, 7884.96917745,
7886.78496775, 7888.60117619, 7890.41780287, 7892.2348479 ,
7894.05231137, 7895.87019337, 7897.688494 , 7899.50721336,
7901.32635154, 7903.14590864, 7904.96588476, 7906.78628 ,
7908.60709444, 7910.42832819, 7912.24998134, 7914.07205399,
7915.89454624, 7917.71745818, 7919.54078991, 7921.36454153,
7923.18871313, 7925.0133048 , 7926.83831666, 7928.66374879,
7930.48960128, 7932.31587424, 7934.14256777, 7935.96968196,
7937.7972169 , 7939.6251727 , 7941.45354945, 7943.28234724,
7945.11156618, 7946.94120637, 7948.77126789, 7950.60175084,
7952.43265533, 7954.26398145, 7956.0957293 , 7957.92789897,
7959.76049056, 7961.59350417, 7963.4269399 , 7965.26079784,
7967.09507809, 7968.92978074, 7970.7649059 , 7972.60045367,
7974.43642413, 7976.27281738, 7978.10963354, 7979.94687268,
7981.78453491, 7983.62262033, 7985.46112903, 7987.30006111,
7989.13941667, 7990.97919581, 7992.81939862, 7994.6600252 ,
7996.50107565, 7998.34255007, 8000.18444855, 8002.02677119,
8003.86951809, 8005.71268935, 8007.55628507, 8009.40030533,
8011.24475025, 8013.08961991, 8014.93491442, 8016.78063388,
8018.62677837, 8020.47334801, 8022.32034288, 8024.16776309,
8026.01560873, 8027.8638799 , 8029.7125767 , 8031.56169923,
8033.41124758, 8035.26122186, 8037.11162215, 8038.96244857,
8040.81370121, 8042.66538016, 8044.51748552, 8046.3700174 ,
8048.22297589, 8050.07636108, 8051.93017308, 8053.78441199,
8055.6390779 , 8057.49417091, 8059.34969113, 8061.20563864,
8063.06201355, 8064.91881595, 8066.77604595, 8068.63370364,
8070.49178912, 8072.35030249, 8074.20924385, 8076.06861329,
8077.92841092, 8079.78863683, 8081.64929113, 8083.5103739 ,
8085.37188526, 8087.23382529, 8089.0961941 , 8090.95899178,
8092.82221844, 8094.68587418, 8096.54995908, 8098.41447326,
8100.2794168 , 8102.14478982, 8104.0105924 , 8105.87682465,
8107.74348666, 8109.61057854, 8111.47810038, 8113.34605228,
8115.21443435, 8117.08324667, 8118.95248936, 8120.8221625 ,
8122.6922662 , 8124.56280056, 8126.43376567, 8128.30516164,
8130.17698856, 8132.04924654, 8133.92193567, 8135.79505605,
8137.66860779, 8139.54259097, 8141.41700571, 8143.29185209,
8145.16713023, 8147.04284021, 8148.91898214, 8150.79555612,
8152.67256224, 8154.55000061, 8156.42787133, 8158.30617449,
8160.1849102 , 8162.06407855, 8163.94367965, 8165.82371359,
8167.70418047, 8169.5850804 , 8171.46641347, 8173.34817978,
8175.23037944, 8177.11301253, 8178.99607918, 8180.87957946,
8182.76351348, 8184.64788135, 8186.53268316, 8188.41791901,
8190.303589 , 8192.18969323, 8194.0762318 , 8195.96320482,
8197.85061238, 8199.73845457, 8201.62673152, 8203.5154433 ,
8205.40459002, 8207.29417179, 8209.1841887 , 8211.07464085,
8212.96552835, 8214.85685128, 8216.74860976, 8218.64080389,
8220.53343376, 8222.42649947, 8224.32000113, 8226.21393883,
8228.10831268, 8230.00312277, 8231.89836921, 8233.7940521 ,
8235.69017154, 8237.58672762, 8239.48372045, 8241.38115013,
8243.27901676, 8245.17732044, 8247.07606127, 8248.97523935,
8250.87485479, 8252.77490768, 8254.67539812, 8256.57632621,
8258.47769206, 8260.37949577, 8262.28173744, 8264.18441716,
8266.08753504, 8267.99109118, 8269.89508568, 8271.79951864,
8273.70439017, 8275.60970035, 8277.51544931, 8279.42163712,
8281.32826391, 8283.23532976, 8285.14283478, 8287.05077907,
8288.95916273, 8290.86798586, 8292.77724857, 8294.68695095,
8296.59709311, 8298.50767514, 8300.41869716, 8302.33015925,
8304.24206152, 8306.15440408, 8308.06718702, 8309.98041044,
8311.89407446, 8313.80817916, 8315.72272465, 8317.63771103,
8319.5531384 , 8321.46900687, 8323.38531653, 8325.30206749,
8327.21925985, 8329.13689371, 8331.05496918, 8332.97348634,
8334.89244532, 8336.8118462 , 8338.73168909, 8340.65197409,
8342.5727013 , 8344.49387083, 8346.41548277, 8348.33753724,
8350.26003432, 8352.18297413, 8354.10635676, 8356.03018231,
8357.9544509 , 8359.87916261, 8361.80431756, 8363.72991584,
8365.65595756, 8367.58244281, 8369.50937171, 8371.43674435,
8373.36456084, 8375.29282127, 8377.22152575, 8379.15067438,
8381.08026727, 8383.01030452, 8384.94078622, 8386.87171248,
8388.80308341, 8390.7348991 , 8392.66715966, 8394.59986519,
8396.5330158 , 8398.46661158, 8400.40065264, 8402.33513908,
8404.270071 , 8406.20544851, 8408.1412717 , 8410.07754069,
8412.01425557, 8413.95141645, 8415.88902343, 8417.82707661,
8419.76557609, 8421.70452198, 8423.64391438, 8425.5837534 ,
8427.52403913, 8429.46477168, 8431.40595115, 8433.34757764,
8435.28965127, 8437.23217212, 8439.1751403 , 8441.11855593,
8443.06241909, 8445.0067299 , 8446.95148845, 8448.89669485,
8450.8423492 , 8452.7884516 , 8454.73500217, 8456.68200099,
8458.62944818, 8460.57734384, 8462.52568807, 8464.47448098,
8466.42372266, 8468.37341322, 8470.32355277, 8472.27414141,
8474.22517923, 8476.17666635, 8478.12860288, 8480.0809889 ,
8482.03382452, 8483.98710986, 8485.94084501, 8487.89503007,
8489.84966516, 8491.80475036, 8493.7602858 , 8495.71627156,
8497.67270776, 8499.6295945 , 8501.58693187, 8503.54472 ,
8505.50295897, 8507.4616489 , 8509.42078988, 8511.38038202,
8513.34042543, 8515.30092021, 8517.26186646, 8519.22326429,
8521.18511379, 8523.14741508, 8525.11016826, 8527.07337344,
8529.03703071, 8531.00114018, 8532.96570195, 8534.93071614,
8536.89618283, 8538.86210215, 8540.82847419, 8542.79529905,
8544.76257684, 8546.73030767, 8548.69849164, 8550.66712885,
8552.6362194 , 8554.60576341, 8556.57576098, 8558.54621221,
8560.5171172 , 8562.48847606, 8564.4602889 , 8566.43255582,
8568.40527692, 8570.3784523 , 8572.35208208, 8574.32616636,
8576.30070524, 8578.27569883, 8580.25114723, 8582.22705054,
8584.20340888, 8586.18022234, 8588.15749103, 8590.13521505,
8592.11339452, 8594.09202953, 8596.07112019, 8598.05066661,
8600.03066889, 8602.01112713, 8603.99204144, 8605.97341193,
8607.95523869, 8609.93752185, 8611.92026149, 8613.90345772,
8615.88711066, 8617.8712204 , 8619.85578706, 8621.84081073,
8623.82629152, 8625.81222953, 8627.79862488, 8629.78547767,
8631.772788 , 8633.76055597, 8635.7487817 , 8637.73746529,
8639.72660684, 8641.71620647, 8643.70626426, 8645.69678034,
8647.6877548 , 8649.67918776, 8651.67107931, 8653.66342956,
8655.65623863, 8657.6495066 , 8659.6432336 , 8661.63741972,
8663.63206508, 8665.62716977, 8667.6227339 , 8669.61875758,
8671.61524092, 8673.61218401, 8675.60958698, 8677.60744991,
8679.60577292, 8681.60455612, 8683.60379961, 8685.60350349,
8687.60366787, 8689.60429286, 8691.60537857, 8693.60692509,
8695.60893255, 8697.61140103, 8699.61433065, 8701.61772152,
8703.62157374, 8705.62588741, 8707.63066265, 8709.63589956,
8711.64159825, 8713.64775881, 8715.65438137, 8717.66146602,
8719.66901287, 8721.67702203, 8723.68549361, 8725.6944277 ,
8727.70382442, 8729.71368388, 8731.72400618, 8733.73479142,
8735.74603972, 8737.75775118, 8739.76992591, 8741.78256401,
8743.79566559, 8745.80923075, 8747.82325961, 8749.83775227,
8751.85270884, 8753.86812943, 8755.88401413, 8757.90036306,
8759.91717633, 8761.93445404, 8763.9521963 , 8765.97040321,
8767.98907489, 8770.00821144, 8772.02781296, 8774.04787957,
8776.06841137, 8778.08940846, 8780.11087097, 8782.13279898,
8784.15519261, 8786.17805198, 8788.20137717, 8790.22516831,
8792.24942549, 8794.27414884, 8796.29933844, 8798.32499442,
8800.35111687, 8802.37770591, 8804.40476165, 8806.43228418,
8808.46027362, 8810.48873008, 8812.51765366, 8814.54704447,
8816.57690262, 8818.60722822, 8820.63802137, 8822.66928218,
8824.70101076, 8826.73320721, 8828.76587165, 8830.79900419,
8832.83260492, 8834.86667396, 8836.90121141, 8838.93621739,
8840.971692 , 8843.00763536, 8845.04404755, 8847.08092871,
8849.11827892, 8851.15609831, 8853.19438697, 8855.23314503,
8857.27237258, 8859.31206973, 8861.35223659, 8863.39287328,
8865.43397989, 8867.47555654, 8869.51760333, 8871.56012038,
8873.60310779, 8875.64656566, 8877.69049412, 8879.73489326,
8881.77976319, 8883.82510403, 8885.87091588, 8887.91719885,
8889.96395305, 8892.01117858, 8894.05887556, 8896.10704409,
8898.15568429, 8900.20479626, 8902.2543801 , 8904.30443594,
8906.35496387, 8908.40596401, 8910.45743646, 8912.50938134,
8914.56179875, 8916.6146888 , 8918.66805159, 8920.72188725,
8922.77619588, 8924.83097758, 8926.88623247, 8928.94196065,
8930.99816224, 8933.05483733, 8935.11198605, 8937.1696085 ,
8939.22770479, 8941.28627503, 8943.34531933, 8945.40483779,
8947.46483053, 8949.52529765, 8951.58623927, 8953.6476555 ,
8955.70954643, 8957.77191219, 8959.83475288, 8961.89806862,
8963.9618595 , 8966.02612564, 8968.09086716, 8970.15608415,
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8988.76445171, 8990.83442952, 8992.90488401, 8994.9758153 ,
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9005.33762751, 9007.41142187, 9009.4856938 , 9011.5604434 ,
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9464.5506561 , 9466.73020035, 9468.91024651, 9471.0907947 ,
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9640.50979011, 9642.72985511, 9644.95043135, 9647.17151896,
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9738.67785329, 9740.92052492, 9743.163713 , 9745.40741766,
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9765.62402499, 9767.87290193, 9770.12229674, 9772.37220956,
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9801.66826866, 9803.92544604, 9806.18314322, 9808.44136031,
9810.70009743, 9812.95935471, 9815.21913226, 9817.4794302 ,
9819.74024865, 9822.00158774, 9824.26344758, 9826.5258283 ,
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9837.84554914, 9840.11105761, 9842.37708779, 9844.6436398 ,
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9865.06611023, 9867.33788719, 9869.6101873 , 9871.88301068,
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In [17]:
spax.spectrum.flux
Out[17]:
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0.70913833, 0.76658541, 0.74039555, 0.74257642, 0.7553969 ,
0.71160394, 0.77850866, 0.7962358 , 0.72809678, 0.66498733,
0.68622226, 0.64365226, 0.69707143, 0.72570682, 0.70349157,
0.72722691, 0.71287411, 0.63531119, 0.64897466, 0.64870566,
0.65263861, 0.56840897, 0.56293523, 0.58010715, 0.5961442 ,
0.58927733, 0.61918366, 0.57562739, 0.60756904, 0.61736172,
0.67041773, 0.69113851, 0.59410948, 0.59956068, 0.65188473,
0.66531348, 0.62685376, 0.60007906, 0.66562819, 0.6812169 ,
0.72586638, 0.68998784, 0.74207896, 0.70508665, 0.69523412,
0.75129223, 0.73731858, 0.66009551, 0.68275511, 0.68891168,
0.73619151, 0.83251667, 0.81333905, 0.78564841, 0.8325246 ,
0.76191926, 0.71457255, 0.83008128, 0.8371563 , 0.77321136,
0.73156977, 0.72624469, 0.70136809, 0.70154101, 0.76521266,
0.7587508 , 0.78178954, 0.75983155, 0.69492614, 0.72133583,
0.67792833, 0.69602609, 0.67119706, 0.57994854, 0.59183395,
0.5913285 , 0.50277841, 0.42458194, 0.40196308, 0.39304218,
0.45044279, 0.52175772, 0.59337115, 0.64273673, 0.62815076,
0.65575272, 0.66097993, 0.72036815, 0.7012158 , 0.71195436,
0.74929386, 0.72794253, 0.67128116, 0.68264002, 0.7538256 ,
0.72911888, 0.75967133, 0.77959192, 0.80525154, 0.76858115,
0.73566294, 0.77816415, 0.78474838, 0.74894267, 0.68848729,
0.72100723, 0.74303299, 0.70372671, 0.6990667 , 0.69796693,
0.6106469 , 0.57580322, 0.56592172, 0.52928108, 0.45085934,
0.40319699, 0.38945848, 0.40916654, 0.47177476, 0.4914138 ,
0.50638872, 0.46306205, 0.52828187, 0.5359953 , 0.565063 ,
0.62291783, 0.68939817, 0.65146041, 0.68276662, 0.77766532,
0.74153072, 0.71358711, 0.74487132, 0.75306684, 0.72845453,
0.79736286, 0.79769814, 0.755274 , 0.72938824, 0.7685402 ,
0.79685217, 0.80436581, 0.7862047 , 0.81432611, 0.86073279,
0.80280584, 0.85119551, 0.81571913, 0.84915942, 0.79922962,
0.8444252 , 0.92914373, 0.85437441, 0.83450574, 0.84845561,
0.81396854, 0.79514849, 0.80030292, 0.81471413, 0.82055783,
0.83860284, 0.81292355, 0.8500486 , 0.8830176 , 0.86516929,
0.87279207, 0.85605174, 0.85050297, 0.86685449, 0.87312907,
0.84250003, 0.85471362, 0.8833102 , 0.88197625, 0.85089499,
0.85513043, 0.89657593, 0.88070828, 0.79881066, 0.80530775,
0.83299178, 0.86756349, 0.86981297, 0.84456778, 0.82064956,
0.81982905, 0.80001062, 0.75196189, 0.78506672, 0.86598384,
0.82443666, 0.88950098, 0.94548506, 0.88334996, 0.83671165,
0.89110821, 0.85759515, 0.84771383, 0.85293365, 0.82281351,
0.7891854 , 0.83041632, 0.81345934, 0.87851274, 0.8688032 ,
0.86945724, 0.94900489, 0.9296056 , 0.91324919, 0.88531917,
0.82086796, 0.84570336, 0.82536948, 0.79289722, 0.79855418,
0.82772601, 0.84428054, 0.88005692, 0.87430984, 0.80542266,
0.77029145, 0.78054249, 0.82476205, 0.88921398, 0.82407111,
0.85975146, 0.87364817, 0.87360448, 0.82102972, 0.79617846,
0.85201454, 0.81410849, 0.82819813, 0.80917865, 0.77891254,
0.80623764, 0.85567325, 0.82069248, 0.80785239, 0.82812077,
0.87674212, 0.83894694, 0.82709783, 0.82350051, 0.82094306,
0.87916255, 0.88061935, 0.85380208, 0.88341373, 0.84910476,
0.82970214, 0.76052153, 0.7714411 , 0.76460654, 0.70967972,
0.72960061, 0.70141226, 0.69977772, 0.74224305, 0.75408387,
0.84724778, 0.8379783 , 0.71861196, 0.69744015, 0.70132738,
0.68334246, 0.72878021, 0.78749412, 0.79509377, 0.73174328,
0.75528437, 0.81140316, 0.8005867 , 0.88957775, 0.8610155 ,
0.86456048, 0.89221883, 0.83086652, 0.82339245, 0.84009773,
0.79407448, 0.81938392, 0.84872788, 0.85050255, 0.83386755,
0.83092451, 0.8724798 , 0.86438197, 0.86579031, 0.86476666,
0.84179908, 0.83484066, 0.83655989, 0.8494603 , 0.82269996,
0.82265919, 0.86946535, 0.87635952, 0.86424285, 0.94406223,
0.93462914, 0.85562921, 0.86355168, 0.8382746 , 0.83400232,
0.84465283, 0.85870254, 0.893911 , 0.91837329, 0.86664408,
0.84502792, 0.8898679 , 0.87179679, 0.83535731, 0.87927735,
0.9253183 , 0.88486832, 0.82730204, 0.84883517, 0.84364456,
0.83850288, 0.86715454, 0.85763353, 0.92114282, 0.90323925,
0.87223649, 0.92964971, 0.92255843, 0.93342739, 0.91882378,
0.89177597, 0.85697418, 0.88416362, 0.85668182, 0.85169303,
0.81878912, 0.84993285, 0.887707 , 0.82620639, 0.81864339,
0.8556515 , 0.84115767, 0.87402296, 0.87244958, 0.86567491,
0.89733475, 0.90661174, 0.88722527, 0.91729909, 0.8515445 ,
0.74318963, 0.74016386, 0.88867933, 0.94092447, 0.90656596,
0.89399135, 0.93065298, 0.87301719, 0.8756991 , 0.84649247,
0.79721516, 0.80660772, 0.8241697 , 0.85049945, 0.82418895,
0.85726863, 0.84788734, 0.84385681, 0.86071575, 0.84689748,
0.84498781, 0.87867945, 0.89525151, 0.87062711, 0.93382537,
0.90642923, 0.90854561, 0.90207434, 0.85291713, 0.88637418,
0.88947934, 0.86103672, 0.88213962, 0.91793293, 0.92452222,
0.93563783, 0.89526755, 0.8874526 , 0.86150038, 0.78529555,
0.75334477, 0.76584542, 0.78081787, 0.82319087, 0.90519333,
0.97103333, 0.91709727, 0.89358741, 0.85945588, 0.85776979,
0.89139163, 0.86213917, 0.87685466, 0.86927831, 0.85492218,
0.88061339, 0.90745205, 0.93014604, 0.89548016, 0.89671016,
0.89237189, 0.88753557, 0.93256193, 0.88883197, 0.86963248,
0.87341422, 0.84671503, 0.86850739, 0.87131351, 0.8642602 ,
0.8304199 , 0.85051751, 0.91284686, 0.87972921, 0.83150637,
0.87763298, 0.8732419 , 0.87122405, 0.91061324, 0.8932398 ,
0.91136754, 0.95445389, 0.87049103, 0.88643652, 0.86859822,
0.83499396, 0.80031192, 0.78285557, 0.78292847, 0.8263042 ,
0.84072787, 0.84467727, 0.86662781, 0.87346685, 0.91270965,
0.85442322, 0.86566037, 0.89090055, 0.82234395, 0.87255359,
0.85992628, 0.84892714, 0.8388496 , 0.83654004, 0.81753594,
0.81487185, 0.79638821, 0.83960384, 0.86499077, 0.85287374,
0.86302763, 0.8645823 , 0.81852305, 0.82469279, 0.8065511 ,
0.72716308, 0.73989463, 0.73028487, 0.71482021, 0.71945924,
0.70993453, 0.76038498, 0.71033067, 0.71566439, 0.73242587,
0.72433573, 0.75140101, 0.76884598, 0.84291953, 0.84996623,
0.84497988, 0.87116802, 0.89613324, 0.92816085, 0.94999957,
0.96974307, 0.92592925, 0.84995669, 0.83059305, 0.83553141,
0.79770064, 0.79201132, 0.77194434, 0.85080737, 0.88029313,
0.87291062, 0.87241954, 0.86828363, 0.87523127, 0.86873746,
0.85168654, 0.84165472, 0.77472258, 0.80534637, 0.91860127,
1.05450833, 1.18954778, 1.10917544, 0.93910122, 0.84885031,
0.78654021, 0.76914912, 0.81110173, 0.81461453, 0.82123351,
0.84513223, 0.8540284 , 0.81898731, 0.77779388, 0.82122821,
0.84430379, 0.83944732, 0.89816302, 0.89075613, 0.89647776,
0.92875856, 0.9983561 , 0.95892251, 0.94154972, 0.98505044,
0.96289754, 0.94043016, 0.95656115, 0.94710416, 0.91241854,
0.88580936, 0.93804777, 0.91131693, 0.89958656, 0.90244305,
0.86007875, 0.86110169, 0.84622616, 0.94842118, 0.97720742,
0.90558827, 0.94094265, 0.85366797, 0.79767501, 0.81049037,
0.80882764, 0.7886067 , 0.81471884, 0.85340708, 0.87607902,
0.88051355, 0.87774992, 0.8849135 , 0.92958772, 0.88874406,
0.90749419, 0.89519721, 0.90437287, 0.95100933, 0.92095238,
0.93972021, 0.91985214, 0.87256962, 0.8841936 , 0.88770431,
0.87419909, 0.81624323, 0.84389561, 0.89224559, 0.92138213,
0.88441229, 0.95239764, 0.99610436, 0.94128823, 0.9358657 ,
0.85819787, 0.85843593, 0.89715815, 0.93178278, 0.97317547,
0.97810578, 0.94717377, 0.94759041, 0.92034501, 0.91612613,
0.94081599, 0.93544996, 0.9234941 , 0.93874425, 0.93590814,
0.9544574 , 0.95778584, 0.89522183, 0.87871468, 0.93509376,
0.88608575, 0.88942349, 0.96254367, 0.95853007, 0.95691425,
0.97057801, 0.92359716, 0.9085204 , 0.92159081, 0.88494319,
0.9559775 , 0.97686505, 0.98040605, 0.95088553, 0.93195993,
1.02212179, 0.98194063, 0.95304197, 0.92117161, 0.8823449 ,
0.89163399, 0.87104088, 0.92047578, 0.9203701 , 0.8713693 ,
0.86303139, 0.90836829, 0.90916622, 0.92328537, 0.93461084,
0.93909442, 0.92418891, 0.93113118, 0.92160141, 0.90253663,
0.97922063, 0.98925823, 0.99588943, 1.0014298 , 1.02377629,
1.03754377, 1.02210367, 0.93530715, 0.95773268, 0.91190362,
0.89026886, 0.95057839, 0.98808908, 1.00553155, 1.0525285 ,
1.02402449, 0.98457885, 0.95444006, 0.95460832, 0.95555609,
0.9690516 , 0.96610391, 0.96993428, 0.96378005, 0.95812541,
0.99293739, 0.98777634, 1.03588319, 0.98922813, 1.02431512,
1.05690217, 1.03473961, 1.06078267, 1.04171634, 1.0611552 ,
1.05787349, 1.02087212, 1.07161427, 1.03341007, 0.99901772,
0.97829998, 0.98068827, 0.99896753, 1.0057863 , 1.00425756,
0.99626887, 1.03129196, 1.00998461, 1.01074791, 0.99841189,
0.97734463, 0.96915472, 0.94270641, 0.92197216, 0.92745572,
0.88966256, 0.89083004, 0.93679816, 0.92894518, 0.92941803,
0.95026201, 0.93115258, 0.93332815, 1.00160289, 1.01132715,
1.0347358 , 1.01072705, 0.97790736, 0.97745746, 1.00642002,
0.9745003 , 0.94442213, 0.97695291, 0.95657963, 0.95231587,
0.93482298, 0.94236052, 0.98389661, 0.9751184 , 0.9070484 ,
0.87791377, 0.97420758, 0.98220849, 0.99063069, 1.05458724,
1.06974566, 1.03509235, 1.05099809, 1.05640876, 1.07505929,
0.98297793, 1.01011539, 1.02997875, 0.99399769, 1.01535046,
1.00921047, 1.00466144, 0.97602504, 0.99912459, 1.01957023,
1.0177393 , 1.03864253, 0.98084569, 1.00335991, 0.98235416,
0.9291023 , 0.96187878, 0.99103194, 0.96305424, 0.9542309 ,
0.97019905, 1.01090837, 1.00916076, 1.00473118, 0.97762114,
0.99796009, 0.97871566, 0.94948727, 0.94481939, 0.94791985,
0.99424332, 0.99752444, 0.94196427, 0.9754402 , 0.97940189,
0.99732476, 0.94673789, 0.96181703, 0.99454749, 1.00537634,
1.02194667, 1.04563403, 1.06686127, 1.06005776, 1.04758477,
1.07533443, 1.0461725 , 1.04786396, 1.08865166, 1.04734123,
1.01679146, 1.03443038, 1.04946804, 1.09665537, 1.06252706,
1.01057291, 1.09327722, 1.08095133, 1.07362723, 1.00970423,
1.02198601, 1.06333447, 1.04022813, 1.05664957, 1.02821529,
1.03718162, 1.04224396, 1.02357173, 1.01773858, 0.99383289,
0.9411397 , 0.61249959, 0.54661655, 0.92411673, 1.03259194,
0.9942221 , 0.99134576, 0.97859061, 0.95781589, 0.97048229,
0.98557478, 1.00716186, 1.05198717, 1.04269433, 1.01384032,
1.02291453, 1.01283252, 1.00896382, 1.04180348, 1.06196535,
1.083305 , 1.05161619, 1.01314878, 1.02897573, 1.04404819,
0.96570015, 0.94083059, 0.94242775, 0.97410393, 0.98479545,
1.00169623, 1.01961708, 1.01292551, 1.03626406, 1.02731967,
1.00394392, 0.98719376, 1.00328624, 1.03261721, 0.99675876,
0.97063124, 0.96360898, 0.98702192, 1.0118494 , 1.04651952,
1.02723646, 0.98599821, 1.01869357, 1.00094962, 0.96611768,
1.01153708, 1.04290462, 1.02620625, 1.01786768, 0.98780501,
0.94525319, 0.98754674, 0.97893041, 0.94387954, 0.99830818,
0.96923912, 0.98147881, 0.97860807, 0.97849947, 0.97232401,
0.98852587, 1.008636 , 1.00958121, 1.01351178, 0.99591994,
0.99484515, 1.0420568 , 1.03651929, 1.01784635, 1.03530478,
1.03596914, 1.05613148, 1.05031383, 1.05399549, 1.03126192,
1.003932 , 1.00428152, 0.97955436, 0.960733 , 0.95920146,
0.96990526, 0.98363161, 0.97879094, 1.01160288, 0.98618263,
1.01227903, 1.01612592, 0.98351526, 1.00681353, 1.00452495,
1.0318644 , 1.04216409, 1.04760849, 1.03641772, 1.04128814,
1.02895021, 1.0443176 , 1.07949769, 1.05138183, 1.00821567,
1.01917219, 1.04460931, 0.99579966, 0.9759798 , 0.96693879,
0.99334556, 1.02195323, 1.02308297, 0.99395853, 1.00397038,
0.98353505, 0.97183228, 0.9332208 , 0.9763726 , 1.00084066,
1.00480998, 1.04789257, 1.01998246, 1.0041995 , 1.01476157,
1.05138171, 1.06164134, 1.05172837, 1.02888656, 1.01179767,
1.05037153, 1.02532351, 1.00298882, 1.00194979, 1.01892519,
0.96901393, 0.97479934, 1.00922871, 0.98076594, 0.9987002 ,
1.04595804, 1.0561111 , 1.04636037, 1.03652346, 1.03288722,
1.04757977, 1.03965259, 0.98835289, 0.99686253, 1.03204381,
0.9982115 , 1.01672399, 1.00234282, 1.02639937, 0.99443388,
0.93468606, 0.98164135, 0.98087692, 0.99108756, 1.00145769,
1.00581729, 0.99374056, 1.02134109, 1.03616297, 1.04052639,
1.04739702, 1.0395844 , 1.04667151, 0.98826629, 0.95190418,
1.01494384, 1.04640865, 1.02418697, 1.01295674, 0.98176879,
0.99329662, 0.99430209, 0.96813738, 0.9954834 , 0.97808617,
1.0057714 , 1.03836679, 1.01952624, 0.97629809, 0.97364902,
0.96153492, 0.95636058, 0.95674288, 0.96641564, 0.98649377,
0.96272576, 0.92438197, 0.9345457 , 0.9621318 , 0.93545979,
0.93437952, 0.91042709, 0.88609099, 0.91165102, 0.90651715,
0.95281637, 1.24721277, 1.79559672, 2.11388588, 1.97005475,
1.50926614, 1.0366323 , 0.88882124, 0.88759243, 0.89194316,
0.8907271 , 0.88682836, 0.88438427, 0.89129567, 0.91298896,
0.90983099, 0.92093235, 0.92697644, 0.94891047, 1.01599145,
0.96738201, 0.94781852, 0.9903419 , 0.93387842, 0.96737856,
0.96958399, 0.95087099, 0.96036315, 0.96455413, 0.91912472,
0.93729383, 0.98790872, 1.00487971, 1.02528858, 1.04701984,
1.05659938, 1.02563286, 1.03352547, 1.04294288, 1.01243305,
1.03518045, 1.00644648, 1.0148437 , 1.01633906, 1.02513468,
1.03257716, 0.96956056, 0.99684966, 1.00481248, 0.99587554,
1.00884235, 1.05117738, 1.04015827, 0.99499893, 0.97940749,
0.92766035, 0.85739386, 0.90678692, 0.99316913, 0.98720229,
0.97348827, 1.00783134, 1.02891445, 1.05390596, 1.07326686,
1.0462501 , 1.01635516, 1.00863659, 0.9707526 , 0.96735269,
0.98045182, 0.96823013, 0.97439212, 0.97466129, 1.01606369,
1.02316177, 1.07050037, 1.08473766, 1.02145112, 1.04660583,
1.03710866, 1.03999448, 1.0748446 , 1.06036234, 1.03955603,
1.03417706, 1.00454128, 0.99083626, 1.01705289, 1.07757914,
1.08616841, 1.10221529, 1.08869016, 1.03236902, 1.00276566,
0.97817636, 0.99979913, 1.01819372, 1.01605809, 0.98166281,
0.98371226, 0.9728626 , 1.03010559, 1.05449975, 1.03097641,
1.07309687, 1.01785421, 1.00496125, 1.01332653, 0.93934208,
0.92583811, 0.94382221, 0.93107617, 0.95029092, 0.98909903,
1.01049817, 1.03144729, 1.01902604, 0.99497652, 0.969037 ,
0.97035772, 0.97852081, 0.97937489, 0.98471564, 1.00006974,
0.99637669, 0.94720089, 0.98355782, 0.99066246, 1.05132747,
1.20007861, 1.23126805, 1.25369394, 1.20366776, 1.02856255,
0.94708079, 0.93264425, 0.93488926, 0.96396291, 0.93638372,
0.92655319, 0.93393022, 0.9389686 , 0.93078184, 0.91942245,
0.96377712, 0.9759357 , 0.98094946, 0.97101003, 0.9661966 ,
1.01007915, 1.00400352, 0.99752527, 1.02175784, 1.06616127,
1.02657747, 0.99904013, 0.99855244, 1.0018487 , 0.95795035,
0.96106863, 0.92737418, 0.97507322, 1.01456225, 1.06061542,
1.08152378, 1.05876493, 1.02006257, 1.00051486, 0.96627378,
0.95209134, 0.97817564, 1.00542569, 1.04766834, 1.01768899,
1.03325307, 1.05008399, 1.01702881, 1.04049742, 1.03584826,
0.99462402, 0.93462855, 0.97619402, 0.97906959, 0.97555017,
1.00107062, 0.97448117, 0.98532534, 1.02137184, 1.00653505,
1.01547432, 1.0373435 , 1.00488627, 0.99092591, 0.967246 ,
0.9222666 , 0.96198606, 0.97223032, 0.95281214, 1.02411377,
1.03819418, 1.03361881, 1.01934123, 1.0053618 , 1.05440426,
1.05659246, 1.0702281 , 1.03100443, 0.98327434, 0.97142398,
0.97589505, 0.98087454, 0.98642516, 1.0231626 , 1.02984226,
1.02261341, 0.96563113, 0.93856341, 0.99257809, 0.95791388,
0.93710685, 0.9837327 , 1.02454746, 1.04635024, 1.01903939,
1.04301131, 1.07267821, 1.02454674, 1.0210613 , 1.00424492,
0.99286568, 0.97952223, 0.96341902, 0.96586829, 0.98233056,
0.96242082, 0.97827858, 0.97679085, 0.97537023, 1.00625384,
1.00425649, 1.01369226, 1.04454362, 0.99171972, 0.99545622,
0.98916072, 0.94048011, 0.95309991, 0.97496176, 1.02087104,
1.01679313, 0.96011949, 0.95701408, 1.00632489, 0.98006392,
0.98158723, 1.00519717, 0.97454435, 0.98228323, 0.97968841,
1.04381287, 1.03142238, 1.02199376, 1.02727759, 0.99398065,
0.97062594, 0.92795014, 0.88647974, 0.85406595, 0.82026285,
0.832358 , 0.83166981, 0.84376413, 0.84755284, 0.8742395 ,
0.92544293, 0.98651332, 0.96631289, 1.00047052, 0.97445011,
0.89948338, 0.88719571, 0.86320734, 0.87066036, 0.94664985,
0.96682519, 0.95997822, 0.97125506, 0.96716535, 0.93054503,
0.92634791, 0.94785732, 0.98292667, 1.04224455, 1.05188477,
1.06698382, 1.06881249, 1.02369475, 1.01004171, 0.94869339,
0.90030819, 0.9436844 , 0.9288733 , 0.93716884, 0.95782644,
0.99013263, 0.97354364, 0.99186212, 1.0064863 , 1.00802183,
0.9846822 , 0.98566163, 1.03971517, 1.05923164, 1.04174864,
0.97578835, 0.97189993, 0.95482188, 0.92146504, 0.93319124,
0.98020357, 1.0082531 , 0.99520689, 0.97720361, 0.95196128,
0.96631008, 0.99188185, 1.01504302, 1.02893162, 1.04252851,
0.99654227, 1.03170657, 1.03103077, 1.03626466, 0.96267784,
0.91055834, 1.06774688, 1.03613544, 0.92470294, 0.98326182,
1.03295588, 1.00667691, 1.03497016, 1.00738978, 1.03780556,
1.06653476, 1.00815761, 0.97680849, 0.95302033, 0.91973394,
0.9245947 , 0.90678728, 0.89863175, 0.88025784, 0.92341149,
0.92908788, 0.96806568, 0.97230506, 0.94033408, 1.011783 ,
1.049353 , 1.05710173, 1.04324126, 1.0275116 , 0.99883002,
1.00013101, 1.03943813, 1.03242373, 1.08874011, 1.11548316,
1.06235194, 1.11681092, 1.09249544, 1.05256903, 1.06537378,
1.00746143, 0.99521208, 0.9836421 , 1.03779936, 1.05119586,
1.05296874, 1.06599772, 1.07273662, 1.07501161, 1.09653866,
1.11588025, 1.08928084, 1.08559728, 1.04420125, 1.0834775 ,
1.10235941, 1.08067584, 1.03704751, 1.02560937, 1.04311144,
1.05357552, 1.08561087, 1.06217813, 0.9984076 , 1.01550794,
0.96319669, 0.93075883, 0.94190556, 0.96676767, 0.97772467,
1.03209102, 1.08055425, 1.07780218, 1.09117293, 1.06945336,
1.02619886, 1.02169383, 1.0083307 , 1.02856922, 1.06871629,
1.07037187, 1.04750907, 1.02620804, 1.01878631, 1.04665494,
1.05654943, 1.05892909, 1.08873236, 1.06971371, 2.5488019 ,
0. , -3.74133277, -2.95486069, 1.3260951 , 2.05954957,
1.16287827, 1.05493975, 1.06183672, 1.03619754, 1.00582099,
1.00855696, 1.01015937, 0.99362594, 1.00922918, 1.05537808,
1.08831322, 1.06398416, 1.08769631, 1.09278154, 1.07372642,
1.06049645, 1.07290661, 1.02156651, 1.0753392 , 1.095734 ,
1.06385744, 1.05144238, 1.04785967, 1.00651133, 0.989227 ,
1.02173018, 0.99906105, 0.99441469, 1.00123107, 1.00724256,
1.00213575, 1.00033915, 1.01724136, 1.02434933, 0.9448992 ,
0.96633595, 0.98642421, 0.96805274, 1.02076983, 1.02126682,
1.1033926 , 1.06271088, 1.05357099, 1.0950129 , 1.08200169,
1.08324552, 1.02914596, 1.0577724 , 1.07024157, 1.01443553,
1.08394456, 1.07342649, 1.06593406, 1.03932548, 1.0036881 ,
1.0321418 , 1.03718841, 1.00681734, 1.01663411, 1.06866169,
1.09293258, 1.11279368, 1.13646305, 1.09329784, 1.08263361,
1.08419609, 1.0047394 , 1.01045489, 1.05210006, 1.0597285 ,
1.09742939, 1.08603692, 1.10357487, 1.05903816, 1.02761686,
1.07358801, 1.08991945, 1.06219935, 1.04695594, 1.05061615,
1.05755436, 1.06706226, 1.06456459, 1.03602159, 1.07306242,
1.09895885, 1.05535614, 1.06820178, 1.0826869 , 1.0325371 ,
0.98774058, 1.02999389, 1.05755496, 1.0164479 , 1.01531446,
1.03029454, 1.02887297, 1.05640078, 1.07059479, 1.07386708,
1.01581442, 1.04921496, 1.06094456, 1.06029642, 1.05237997,
1.0450933 , 1.06526506, 1.07535744, 1.05274737, 1.0447979 ,
1.06507516, 1.04453647, 1.07087004, 1.04156232, 1.00590885,
1.05170834, 1.04814792, 1.05761862, 1.08181 , 1.00203907,
1.01014912, 1.05699146, 1.03079498, 1.06575882, 1.12374282,
1.0945307 , 1.07037258, 1.10964096, 1.100366 , 1.03046012,
1.04161072, 1.04231918, 1.02355635, 1.05171597, 1.05551827,
1.01674294, 1.07754993, 1.05881798, 1.05013525, 1.06064415,
1.03357077, 1.08559263, 1.10849452, 1.08172166, 1.05258894,
1.06060827, 1.06126487, 1.12734044, 1.11397076, 1.09469581,
1.10889924, 1.11098373, 1.07620287, 1.0621258 , 1.0909586 ,
1.08325219, 1.08049989, 1.05355775, 1.06393969, 1.05612111,
1.0785358 , 1.11043692, 1.10678077, 1.08721101, 1.08174157,
1.08745158, 1.04528177, 1.04695594, 1.05773365, 1.06586564,
1.06017339, 1.09408605, 1.10006475, 1.10412061, 1.07263339,
1.0376581 , 1.0412426 , 1.01220477, 1.0051477 , 1.04213727,
1.0145942 , 1.00493646, 1.03990638, 1.03593922, 1.06987894,
1.06218016, 1.04439545, 1.03158927, 1.00975776, 1.01813698,
1.05228198, 1.07952201, 1.08369577, 1.09841716, 1.07867515,
1.12101853, 1.12290347, 1.08915138, 1.04519832, 1.00571632,
0.99994618, 1.02652633, 1.02197015, 1.06110787, 1.07039118,
1.06817341, 1.05590177, 1.0150758 , 1.00687885, 1.07604778,
1.10878706, 1.07754886, 1.10748816, 1.08064532, 1.06671405,
1.06271541, 1.04204953, 1.07505918, 1.07222426, 1.04819882,
1.05545783, 1.03637254, 1.06759882, 1.04255104, 1.08304596,
1.09628808, 1.09895241, 1.06564665, 1.0993551 , 1.07889903,
1.03963745, 1.25532961, 1.14948153, 0.5912841 , 0.83100498,
1.24943173, 1.22175169, 0.89570266, 0.79285741, 1.16671801,
1.11150932, 0.98807073, 1.05903828, 1.08187878, 1.09435964,
1.14332128, 1.12461793, 1.09167588, 1.08250487, 1.08204937,
1.09437406, 1.06274354, 1.06027544, 1.08616734, 1.06560516,
1.05987275, 1.06730986, 1.04719913, 1.08579028, 1.08713138,
1.12694061, 1.11816335, 1.08306539, 1.07927668, 1.03450668,
1.07345593, 1.08627903, 1.05880678, 1.07063353, 1.03036857,
1.02240229, 1.01399088, 0.99855924, 1.02363849, 1.07404912,
1.08664906, 1.08738732, 1.04366231, 1.11158657, 1.13730645,
1.05099261, 1.10895097, 1.13487458, 1.1466043 , 1.15938044,
1.13496697, 1.1101495 , 1.10056138, 1.13391685, 1.12292016,
1.08544123, 1.09651399, 1.10541773, 1.14735246, 1.12213933,
1.11392367, 1.09489393, 1.09047794, 1.05590403, 1.09690154,
1.12077999, 1.09803581, 1.10700583, 1.11796176, 1.10225046,
1.08315134, 1.11144698, 1.15345323, 1.11940503, 1.11047375,
1.05637169, 1.06082916, 1.09938574, 1.08082879, 1.09932518,
1.10305595, 1.09425318, 1.10367358, 1.13555634, 1.09150553,
1.11093056, 1.09404612, 1.12227798, 1.06831765, 1.02882206,
1.03988397, 1.0082767 , 1.03123379, 1.04510248, 1.01320386,
1.03345442, 1.06651807, 1.06417716, 1.07317042, 1.08049059,
1.08284199, 1.08771551, 1.10523641, 1.06143212, 1.08992946,
1.10681307, 1.118276 , 1.14041531, 1.15341651, 1.1023401 ,
1.08857036, 1.10980785, 1.13430011, 1.10891974, 1.0764271 ,
1.13862741, 1.11470366, 1.08012378, 1.08113205, 1.12549889,
1.12864912, 1.10179603, 1.11228728, 1.13100207, 1.12440205,
1.10531545, 1.11515403, 1.08754313, 1.12412155, 1.12219632,
1.10294056, 1.11879802, 1.09894574, 1.07027745, 1.08454812,
1.12303352, 1.09968686, 1.14808643, 1.1168083 , 1.11491978,
1.12851858, 1.10785437, 1.08198166, 1.06910884, 1.06732965,
1.07546854, 1.04783249, 1.03671253, 1.03127563, 1.06728649,
1.06027007, 1.0380671 , 1.07569396, 1.08574188, 1.01275098,
1.0525403 , 1.08950198, 1.070243 , 1.07702088, 1.13874304,
1.17820895, 1.17821085, 1.21090388, 1.16698277, 1.11367428,
1.0687114 , 1.08741117, 1.08436763, 1.04548001, 1.01319528,
0.96446824, 0.89400911, 0.87663472, 0.89441574, 0.89480007,
0.89360893, 0.90710264, 0.88675016, 0.93284827, 1.00014496,
1.06597233, 1.03413022, 1.03161061, 1.07583714, 1.08291161,
1.06770825, 1.04563427, 1.07111216, 1.07541943, 1.01953912,
1.04498684, 1.0675447 , 1.02222288, 1.0224942 , 1.08337426,
1.07916248, 1.09296894, 1.07627404, 1.05458975, 1.06967354,
1.0321275 , 1.06135201, 1.04880476, 1.05614924, 1.06299806,
1.1230464 , 1.08938909, 1.05628657, 1.07411003, 1.08551788,
1.06334722, 1.06070244, 1.08102 , 1.04476917, 1.06045675,
1.06424177, 1.04522669, 1.0828203 , 1.06844115, 1.0540911 ,
1.05450988, 1.05737484, 1.05284417, 1.04572785, 1.06421709,
1.09588051, 1.10232711, 1.0504334 , 1.09269285, 1.08367419,
1.09958351, 1.08346009, 1.06530666, 1.10779119, 1.08453941,
1.06435752, 1.07375991, 1.07200027, 1.06077349, 1.07160509,
1.06546104, 1.03922141, 1.03086615, 1.02791977, 1.07245028,
1.0574652 , 1.03333724, 1.09119308, 1.07688439, 1.04647768,
1.05335236, 1.06980312, 1.03107142, 1.03476346, 1.06701398,
1.07474244, 1.02287686, 1.05732644, 1.08298469, 1.04525661,
1.0616895 , 1.08731937, 1.05875707, 1.02589905, 1.06028914,
1.02719188, 1.01864791, 1.0450362 , 1.0399729 , 1.01959074,
1.08372235, 1.0898689 , 1.051844 , 1.07452583, 1.06843877,
1.09491014, 1.10690987, 1.10314047, 1.11164808, 1.1128273 ,
1.09740603, 1.08935714, 1.08552587, 1.08434498, 1.07969797,
1.09403646, 1.05806506, 1.06003666, 1.10553145, 1.10489583,
1.06836617, 1.0992341 , 1.10193992, 1.03891301, 1.02636981,
1.08112681, 1.12898493, 1.06604266, 1.04302478, 1.04127502,
1.08069515, 1.11023605, 1.08597636, 1.14315438, 1.15630555,
1.12987232, 1.10768771, 1.08471775, 1.07012117, 1.06670511,
1.02707839, 1.06072211, 1.05977404, 1.00312555, 1.02931058,
1.04034007, 1.057886 , 1.06638825, 1.06861496, 1.05334353,
1.04188907, 1.03597844, 1.08426106, 1.08186281, 1.04897225,
1.04967916, 1.03736234, 1.05541885, 1.08770716, 1.08246207,
1.09217548, 1.07948875, 1.07113159, 1.0526607 , 1.11585498,
1.11645651, 1.01953518, 1.02404475, 1.05485606, 1.02494454,
1.01517975, 1.04123628, 1.03866899, 1.030545 , 1.04319668,
1.07477295, 1.05226362, 1.04704344, 1.09154284, 1.06219018,
1.02515829, 1.02554047, 1.0155884 , 1.03297436, 1.04236484,
1.04190123, 1.06664264, 1.05181539, 1.03130674, 1.06137514,
1.07748234, 1.08900249, 1.05811167, 1.03870881, 1.03920293,
1.03474689, 0.97994417, 0.99104965, 0.94809008, 0.97850043,
0.97934115, 0.97359675, 1.00246334, 1.00748348, 0.99668026,
0.99166995, 0.98913443, 0.98780078, 1.0224489 , 1.04497516,
1.02685046, 1.03859866, 1.05793118, 1.04300141, 1.03137362,
1.02918851, 1.01737273, 1.016716 , 0.98553061, 0.98710054,
1.02467656, 1.02760136, 1.02058601, 1.03461385, 1.03063846,
1.05137181, 1.02243888, 1.03850019, 1.0570277 , 1.05180764,
1.01536918, 1.01956379, 1.03542018, 1.01601708, 1.00734484,
1.00032949, 0.99785995, 1.01211536, 1.04137766, 1.01303101,
1.0156455 , 1.03358436, 1.01280451, 1.01212871, 1.02403045,
1.00765264, 0.99195117, 0.99394572, 1.01390231, 1.03906834,
0.98651421, 0.9712525 , 0.97748673, 0.95071203, 0.97310889,
0.98079592, 0.96252257, 0.96303529, 0.98270327, 0.97339147,
0.99468446, 1.00083005, 0.98662561, 0.98859859, 0.9813593 ,
0.95831138, 0.97259218, 0.9966116 , 1.00708401, 1.01954937,
1.02337396, 1.01055336, 1.0200001 , 1.04625213, 1.03790331,
1.02568388, 1.03888917, 1.06318796, 1.04677916, 1.02478063,
0.99845177, 0.98506594, 0.98697418, 0.99565417, 1.0336287 ,
1.00391448, 1.00776148, 1.02372718, 1.01477849, 1.00270212,
1.00528967, 0.99026221, 0.99562991, 1.0591023 , 1.11505961,
1.09142017, 1.0424329 , 1.01424909, 1.01769018, 1.03773439,
1.03405035, 1.01564324, 0.98347324, 1.01518798, 1.03542984,
0.97124171, 0.97762752, 0.97892123, 0.99258792, 1.01083732,
1.03779221, 1.03436625, 1.05535066, 1.06930625, 1.05991709,
1.0392071 , 1.03163826, 1.04423404, 1.04633152, 1.01801372,
1.00836289, 1.01391506, 1.04401052, 1.03995574, 1.03238165,
1.02058196, 1.02519178, 1.03472912, 1.03533006, 1.03915381,
1.03444505, 1.05127525, 1.02718306, 1.00262916, 1.00279748,
1.00383484, 0.97446299, 1.01257741, 1.03650033, 1.05167043,
1.06305957, 1.01625955, 1.0240835 , 1.05214703, 1.05508983,
1.07183802, 1.04360974, 1.07013166, 1.071926 , 1.03369558,
1.04756737, 1.05636895, 1.07283401, 1.05324113, 1.0595088 ,
1.10169399, 1.07563663, 1.06038368, 1.02605069, 1.04798496,
1.06811368, 1.04987466, 1.04518974, 1.01246989, 1.01681185,
1.04570472, 1.05222142, 1.05199122, 1.02419198, 1.01779056,
1.03858113, 1.02152836, 1.04525137, 1.05312955, 1.03955078,
1.03176939, 1.02831638, 1.03926468, 1.00963414, 1.06841171,
1.08544528, 1.08192444, 1.05385661, 1.04535127, 1.03914654,
1.02139866, 1.05180335, 1.09241974, 1.03571582, 1.0361228 ,
1.07678723, 1.05268908, 1.06981933, 1.07581234, 1.05603242,
1.05845332, 1.03351676, 0.9932493 , 1.0418638 , 1.02474999,
1.04527378, 1.05602133, 1.05382121, 1.05434763, 1.0339824 ,
1.04245067, 1.05748165, 1.06498408, 1.05886734, 1.04856801,
1.06235564, 1.04839265, 1.03848565, 1.05437601, 1.06235039,
1.06737351, 1.05702364, 1.04341364, 1.05614233, 1.04588509,
1.04665959, 1.06263566, 1.06104124, 1.05053377, 1.02255225,
1.00116169, 0.9851532 , 0.96567243, 0.98361415, 1.00721753,
1.04276717, 1.04431653, 1.03025842, 1.06549037, 1.06793749,
1.05778646, 1.0488025 , 1.05205119, 1.05671859, 1.0812031 ,
1.06727719, 1.03579807, 1.03782403, 1.05428481, 1.06549335,
1.05693662, 1.07116902, 1.07271886, 1.03901875, 1.04085028,
1.04913771, 1.0602684 , 1.04389703, 1.03841615, 1.05721581,
1.05317819, 1.0766474 , 1.08014405, 1.08639967, 1.1653558 ,
1.35205221, 1.54117715, 1.65125895, 1.46373928, 1.22321212,
1.10215592, 1.0186168 , 1.02892268, 1.17085421, 2.20510077,
4.10763979, 5.6003933 , 5.76194525, 4.18902397, 2.37185431,
1.30626631, 1.01753914, 1.02127206, 1.00826395, 1.01836443,
1.02032471, 1.07967222, 1.27018809, 1.73475862, 2.4890697 ,
2.9785862 , 2.76279211, 2.06528807, 1.40761375, 1.12373269,
1.06836593, 1.04553962, 1.01240039, 1.01793969, 1.02490723,
0.99068707, 1.05019629, 1.08704054, 1.05122972, 1.06419742,
1.06452131, 1.02676952, 1.02651107, 1.03271043, 1.05277503,
1.05580592, 1.07381642, 1.11056125, 1.08153808, 1.05068922,
1.0581193 , 1.06790626, 1.04407227, 1.03454173, 1.02167165,
0.9975819 , 1.0051198 , 1.00594854, 1.00212324, 1.03423405,
1.05175912, 1.04883099, 1.06099081, 1.0242101 , 1.0449543 ,
1.05583692, 1.04371154, 1.05368161, 1.06672633, 1.07490849,
1.04085958, 1.05050457, 1.05296135, 1.05901551, 1.05687416,
1.04187167, 1.05864024, 1.05123627, 1.02145362, 1.03383875,
1.06455946, 1.02545333, 1.04621708, 1.0580436 , 1.06044328,
1.06409502, 1.00468123, 1.0003016 , 1.03852117, 1.04025602,
1.04892528, 1.06049454, 1.02993476, 1.02461255, 1.07341754,
1.05879283, 1.04337406, 1.03816831, 1.04709077, 1.04632175,
1.01884329, 1.01651859, 1.04309273, 1.0559901 , 1.03376734,
1.00790548, 1.04897511, 1.04240596, 1.02202666, 1.12948477,
1.31587553, 1.61429298, 1.79259455, 1.65381169, 1.34045672,
1.14741027, 1.07136154, 1.04980493, 1.09312391, 1.20110464,
1.3806864 , 1.57002687, 1.56103909, 1.36972368, 1.15502894,
1.04987264, 1.05089784, 1.01525843, 1.01952338, 1.04457152,
1.05257082, 1.0464294 , 1.03737319, 1.03485548, 1.00677812,
1.01707447, 1.04132175, 1.05469882, 0.98084599, 1.01576531,
1.0333935 , 1.04186785, 1.04229021, 1.03830385, 1.05878711,
1.02097607, 1.04170239, 1.04368258, 1.03485739, 1.06430721,
1.04316747, 1.08043396, 1.0589838 , 1.04556704, 1.06480181,
1.03304851, 1.00034726, 1.03998983, 1.05027092, 1.03991783,
1.02446365, 1.04349375, 1.04386246, 1.00717342, 1.02148199,
1.04670048, 1.03525686, 1.03267586, 1.03588688, 1.02447951,
1.02702558, 1.05483186, 1.07081366, 1.04422212, 1.02558696,
1.02412009, 1.04450548, 1.07514906, 1.05271101, 1.01472795,
1.04532504, 1.07528734, 1.06086528, 1.05881703, 1.06033719,
1.03362429, 1.03900492, 1.04423332, 1.02683997, 1.06173134,
1.02883661, 1.01608789, 1.02050507, 1.02515125, 1.03673804,
1.04951453, 1.02931821, 1.06520307, 1.07306099, 1.02177775,
1.02194726, 1.008847 , 1.00394714, 0.99749511, 0.98991275,
1.00010991, 1.01349807, 1.03435838, 1.06823349, 1.04747629,
1.04609811, 1.06106818, 1.0525167 , 1.05000818, 1.04079378,
1.04393554, 1.05557752, 1.0374589 , 1.02097285, 1.03454185,
1.04654574, 1.07631671, 1.0722301 , 1.08340359, 1.07384098,
1.0860939 , 1.06632721, 1.06751382, 1.0753262 , 1.05417204,
1.05771327, 1.05251527, 1.05981839, 1.05304098, 1.03478003,
1.04383683, 1.06700051, 1.06469059, 1.04570556, 1.06626844,
1.06977904, 1.05999851, 1.05184519, 1.06109333, 1.07305086,
1.04797494, 1.05609703, 1.06124151, 1.04632521, 1.05496156,
1.06981945, 1.059919 , 1.03200936, 1.0431782 , 1.0423125 ,
1.05057025, 1.0409863 , 1.00863194, 1.01277399, 1.06226718,
1.07327628, 1.05073738, 1.04779398, 1.01834059, 1.06238973,
1.05153954, 1.04105508, 1.03009927, 1.0505054 , 1.05313265,
1.04121566, 1.03956938, 1.00323308, 1.00371623, 1.00330901,
1.01665473, 1.04320478, 1.02530754, 1.0188266 , 0.99700683,
1.0383352 , 1.05155742, 1.04765511, 1.06116545, 1.07383585,
1.04973745, 1.01818132, 1.0700134 , 1.08057523, 1.06090462,
1.03384602, 1.0618726 , 1.04510045, 1.01902294, 1.04758525,
1.01727247, 1.04426873, 1.0735656 , 1.0318687 , 1.05455828,
1.06179857, 1.00737607, 1.02655804, 1.00897098, 1.02795565,
1.06871307, 1.05222118, 1.03214025, 1.0570389 , 1.06659651,
1.06405866, 1.08373654, 1.02452087, 1.04169798, 1.05414736,
1.04063487, 1.08816695, 1.05905366, 1.0700196 , 1.09027898,
1.08777595, 1.08970666, 1.05057108, 1.06499445, 1.05820751,
1.0371747 , 1.01478148, 1.01222646, 1.03926647, 1.02743554,
1.03385806, 1.0327785 , 0.99285668, 1.01758504, 1.0074985 ,
0.99609369, 1.00653076, 1.00730276, 1.04564691, 1.04497015,
1.01786351, 1.05774033, 1.06362891, 1.025509 , 1.01027763,
0.98779857, 0.99408853, 1.00578737, 0.97945738, 0.99293619,
0.99795359, 0.9802196 , 1.00728559, 0.99878305, 0.96976268,
0.98491007, 0.99052316, 1.0240761 , 0.99688989, 0.97288126,
0.97112375, 0.95851833, 0.96725619, 0.97360861, 0.97418755,
0.96690452, 0.97109205, 0.97862619, 0.95518547, 0.9512378 ,
0.97183877, 0.97254562, 0.96042728, 0.97168481, 1.02819324,
1.01368046, 0.98329008, 0.97332162, 0.98950469, 1.00333738,
0.9970454 , 1.00592172, 0.97592866, 0.95603561, 0.97087711,
0.98017073, 0.96845037, 0.9691571 , 0.99050719, 0.9932856 ,
0.97353262, 0.96167696, 0.95537812, 0.96114516, 0.99271762,
0.98731571, 0.95872027, 1.00588 , 0.98871773, 0.98248535,
0.97781402, 0.95193994, 0.9642424 , 0.97630662, 0.97496206,
0.97945225, 0.96886575, 0.97475958, 0.95032662, 0.94445837,
0.97911286, 0.96321756, 0.94580466, 0.97475362, 0.95120496,
0.97431862, 0.99251431, 0.98628235, 0.97351724, 0.98085111,
0.97084171, 0.96082604, 0.97291416, 0.96607965, 0.9887647 ,
0.99382788, 0.9969821 , 0.98911852, 0.97659308, 0.95423442,
0.99087763, 1.02464664, 1.06205606, 1.04126179, 1.03788805,
1.05315626, 1.05105531, 1.05337727, 1.04607725, 1.0210036 ,
0.99508619, 0.99708247, 1.03440285, 1.0159266 , 1.02772152,
1.00877559, 1.00397372, 0.99876219, 1.02134788, 1.03149402,
0.98948961, 0.99499935, 1.02607572, 1.01563501, 1.02612019,
1.03922319, 1.02272153, 1.0157373 , 1.02805161, 1.01640475,
1.00400031, 1.00298452, 1.02068818, 1.00121307, 0.98771757,
0.99276161, 0.99991584, 0.99003655, 0.98071665, 1.02412689,
0.98647732, 1.00001574, 1.03622508, 1.02438033, 0.97907501,
1.00114286, 1.06102896, 1.02204323, 1.01295424, 1.03447223,
1.01389194, 1.0150888 , 1.06761336, 1.04531038, 1.06747591,
1.05345559, 1.03389394, 1.02077115, 1.02353406, 1.05420506,
1.03419042, 1.02332115, 1.05390811, 1.02823246, 1.05132103,
1.04443252, 1.0179683 , 1.07543015, 1.06789863, 0.98373049,
1.01098132, 1.01898038, 1.02374542, 1.02965784, 1.00626934,
1.00419128, 1.00888169, 0.98566711, 0.99895442, 1.01946771,
0.99651438, 0.99390751, 1.03307366, 1.04185903, 1.04627097,
1.05470467, 1.04730475, 1.05173838, 1.05874431, 1.06487727,
1.07974589, 1.05828226, 1.04350924, 1.04444933, 1.02235007,
1.02024746, 1.0129447 , 0.99803299, 1.01022255, 1.03462601,
1.04920042, 1.02568555, 1.0250119 , 1.05508268, 1.03406155,
1.0539484 , 1.05941069, 1.03181791, 1.05971491, 1.02050614,
1.01518488, 1.03732562, 1.03149915, 0.9831937 , 0.98092914,
0.998469 , 0.99888283, 1.03354228, 1.05009925, 1.04720235,
1.05530953, 1.03753626, 1.05880344, 1.04301882, 1.0457207 ,
1.06281614, 1.02523732, 1.03814173, 1.04991615, 1.0370065 ,
1.05135608, 1.04701829, 1.02411222, 1.04330051, 1.09743154,
1.05589294, 1.05720568, 1.0425142 , 1.00868058, 1.03488529,
1.03666413, 1.04114628, 1.04717827, 1.01773596, 1.04365301,
1.07136583, 1.00003421, 1.00707603, 1.05551267, 1.06436729,
1.05612683, 1.03207612, 1.05114281, 1.0448432 , 1.03310263,
1.08360422, 1.07065845, 1.01526332, 1.00723612, 1.0387826 ,
1.04443467, 1.03363538, 1.02835047, 1.04789186, 1.08513749,
1.06767988, 1.0317986 , 1.04575729, 1.02660501, 1.03554535,
1.12088454, 1.10108888, 1.0413667 , 1.04993653, 1.04548156,
1.04817212, 1.03685343, 1.03639245, 1.04118752, 1.05246413,
1.0802995 , 1.03604269, 1.06127226, 1.08046925, 1.04075146,
1.03906739, 1.0787698 , 1.05826259, 1.09882712, 1.0910244 ,
1.01826453, 1.03592038, 1.03542757, 1.05331779, 1.04860699,
1.02940524, 1.04694903, 1.03951252, 1.00185645, 1.03758597,
1.05907416, 1.02772391, 1.0517956 , 1.0330056 , 1.01387191,
1.04736686, 1.06522012, 1.07657373, 1.05443037, 1.03283167,
1.04514253, 1.04597485, 1.04618168, 1.02324462, 1.02690864,
1.02131712, 1.03825831, 1.04144454, 1.0200572 , 1.01946437,
0.99646968, 1.04459608, 1.03801906, 1.00246191, 1.0217725 ,
1.04604506, 1.01115215, 1.03088939, 1.04160976, 0.97862035,
0.98136401, 1.01344633, 1.02524495, 1.02601552, 1.03802609,
1.01347244, 0.98974204, 0.98647887, 1.00149095, 0.98583454,
1.00290811, 0.98987406, 0.99791908, 1.02233338, 1.00476301,
1.00125766, 1.01201177, 1.0119983 , 0.98293477, 0.97167206,
0.98016787, 0.96839356, 0.95502102, 0.96945578, 0.9462769 ,
0.93086398, 0.91311967, 0.92555213, 0.95214766, 0.95702291,
0.96740359, 0.98758942, 0.98620576, 0.98950845, 1.01319706,
1.01768649, 0.98462272, 0.97743404, 0.9619717 , 0.96813422,
0.97246635, 0.97658533, 0.96912479, 0.95833069, 0.97622615,
0.94422007, 0.94345319, 0.9952082 , 1.01166475, 0.98351234,
0.97962993, 0.96508813, 0.96917498, 0.943896 , 0.93149406,
0.94105315, 0.95216781, 0.97267759, 0.97060639, 0.94233644,
0.81863636, 0.86458266, 1.00137877, 1.01565301, 0.96850431,
0.97540349, 0.97774994, 0.9925853 , 0.99531513, 0.97076696,
0.97969043, 0.92898887, 0.94020045, 0.95432389, 0.95081562,
0.97218388, 0.96353883, 0.99138135, 0.99651968, 0.97564018,
0.97316468, 0.96855539, 0.97312003, 0.97476649, 0.95113534,
0.97077852, 0.97905916, 0.97559261, 0.94515944, 0.94800913,
0.98882896, 0.96966392, 0.98219448, 0.98140132, 0.9974907 ,
0.97906065, 0.97658515, 0.98077297, 0.98361987, 1.00619543,
0.9710198 , 0.97427022, 0.98969448, 0.97164655, 0.99451554,
1.00915432, 0.99386245, 0.99826324, 0.99967557, 0.99921149,
1.00748181, 1.02702796, 0.99930501, 0.9861418 , 0.97469568,
0.98836178, 0.97902429, 0.95051515, 0.94394577, 0.95424849,
0.92338526, 0.91783273, 0.93389672, 0.94793648, 0.96029633,
1.00506544, 1.00111878, 0.97245592, 0.96370661, 0.98255938,
0.96566272, 0.94127589, 0.9625448 , 0.97178316, 0.98916811,
0.98220456, 0.98854655, 0.99735147, 0.98296523, 0.97621089,
1.00266647, 0.99420345, 0.96848834, 0.97990203, 0.98309875,
0.96136612, 0.96214241, 0.96731913, 0.96942371, 0.99162972,
0.98288625, 0.97238648, 0.96611506, 0.95764083, 0.95914066,
0.9503907 , 0.93175215, 0.95824152, 0.98671168, 0.97861415,
0.98447526, 0.96095794, 0.94066501, 0.9279846 , 0.93121588,
0.94405913, 0.95071405, 0.90983707, 0.94704998, 0.96042281,
0.94956702, 0.93987018, 0.93578839, 0.96119475, 0.95565361,
0.96920228, 0.91319853, 0.89967412, 0.92446923, 0.92473245,
0.90448493, 0.89388627, 0.92406148, 0.94945878, 0.95662975,
0.94723284, 0.95435762, 0.96183896, 0.97048789, 0.99806637,
0.98706818, 0.97629058, 0.99131793, 0.99187392, 0.93466091,
0.95265883, 0.99423426, 0.9841882 , 0.96371514, 0.93473792,
0.94300199, 0.95571262, 0.97110903, 0.99908483, 0.98218858,
0.96853924, 0.99367559, 0.9390136 , 0.95780295, 0.96477145,
0.95775908, 0.95496953, 0.95889699, 0.95347035, 0.96601456,
0.98364478, 0.98541701, 0.97836405, 0.98045361, 0.98344785,
1.00773823, 1.0205574 , 0.99865776, 0.97139704, 0.94853085,
0.99814463, 0.99302161, 0.97260779, 0.95676392, 0.99454099,
1.00489235, 0.98979032, 0.99549407, 1.0120573 , 0.9932667 ,
0.98966408, 0.98203593, 0.95317197, 0.95640796, 0.96546048,
0.94530201, 0.95387053, 0.97802693, 0.97526658, 0.97361612,
0.98636323, 0.99998486, 1.00926912, 0.95484769, 0.9367218 ,
0.99223036, 0.96701944, 0.96296656, 0.98605061, 0.97294527,
0.97909719, 0.9631536 , 0.9520095 , 0.98238093, 0.96216977,
0.97657722, 0.97634202, 0.94373387, 0.96461153, 0.95429963,
0.90610051, 0.96176249, 0.95401907, 0.95369852, 0.98364079,
0.98751777, 0.9639197 , 0.97304845, 0.97256929, 0.96458709,
0.96712863, 0.97450566, 0.9713223 , 1.01047516, 0.98347425,
0.95035881, 0.95703179, 0.97277743, 0.95753974, 0.96368992,
1.00836694, 0.96415496, 0.97781146, 0.9649809 , 0.98376596,
0.98788762, 0.99366444, 0.98613304, 1.00198281, 0.99476308,
0.98255318, 0.99059939, 0.98769993, 0.97474885, 0.98282832,
0.97497469, 0.99205834, 0.98252249, 0.98288858, 1.02343714,
0.99986881, 0.99611574, 1.00060856, 0.98780835, 0.96952444,
0.96141374, 0.94026482, 0.9763186 , 1.00511909, 0.97766072,
0.95777714, 0.95885682, 0.9514637 , 0.93258888, 0.96290022,
0.94893658, 0.95644349, 0.9518519 , 0.95512694, 0.96367586,
0.94714248, 0.94044971, 0.96394712, 0.96941596, 0.95481282,
0.95428562, 0.96303791, 0.9736222 , 0.99091578, 0.98868591,
0.98164338, 0.98643368, 0.96180838, 0.97692382, 0.98715329,
0.9850499 , 0.97569996, 0.97956526, 0.99636608, 0.98218155,
0.95323664, 0.94863504, 0.94404638, 0.93930393, 0.95851415,
0.96527267, 0.97043711, 0.98729247, 0.99792349, 0.99435353,
0.99572468, 0.97180009, 0.96412909, 0.95222902, 0.96025532,
0.98349077, 1.00177824, 0.9904083 , 0.97568071, 0.97490442,
0.97262549, 0.93777299, 0.98920453, 0.95685792, 0.97286433,
0.98025644, 0.95417142, 0.95489556, 0.95871997, 0.96937376,
1.02118325, 1.04141808, 1.008883 , 0.93849868, 0.97543323,
0.93590838, 0.96150094, 0.96509898, 0.98276359, 0.951074 ,
0.93875939, 0.98770046, 0.92846316, 0.87639147, 0.90161747,
0.88739383, 0.91953546, 0.915959 , 0.90319771, 0.92438924,
0.89839715, 0.92939258, 0.94583517, 0.93018991, 0.91728771,
0.95798606, 0.945342 , 0.94117725, 0.94425154, 0.92235798,
0.9203729 , 0.91573256, 0.94656587, 0.94605899, 0.93027943,
0.93339074, 0.93193859, 0.92634922, 0.92785227, 0.90911877,
0.90713274, 0.90300459, 0.86176646, 0.91404861, 0.95066279,
0.94140309, 0.93317533, 0.94684285, 0.95028704, 0.93188161,
0.93658704, 0.95936382, 0.96838617, 0.97043937, 0.92768568,
0.94119304, 0.95572633, 0.93794155, 0.90794641, 0.93930155,
0.94545698, 0.96643341, 0.96482682, 0.91326267, 0.94559026,
0.90797663, 0.91485345, 0.91376323, 0.90564001, 0.93612915,
0.93289727, 0.90226561, 0.90064144, 0.9264214 , 0.93951702,
0.90493327, 0.91031474, 0.93682039, 0.91074133, 0.92131615,
0.94401407, 0.90560156, 0.9008798 , 0.89697546, 0.88704276,
0.89431602, 0.91721523, 0.91627485, 0.93945658, 0.9272052 ,
0.85719174, 0.89172852, 0.92767823, 0.90630573, 0.8699131 ,
0.92111248, 0.8985061 , 0.84365863, 0.81900799, 0.78670567,
0.80474609, 0.84170061, 0.88667649, 0.90401524, 0.92845047,
0.92312521, 0.87322462, 0.87887317, 0.87889534, 0.89357966,
0.88972616, 0.89930093, 0.90116477, 0.90019047, 0.92589611,
0.94405109, 0.91100907, 0.93794936, 0.86107242, 0.67897487,
0.64415526, 0.63037193, 0.61688763, 0.72261554, 0.75905591,
0.85092461, 0.89602679, 0.87666696, 0.90684861, 0.91975009,
0.90931374, 0.91025591, 0.91431069, 0.92892754, 0.97188652,
0.91923368, 0.89482164, 0.96816456, 0.93470693, 0.93417674,
0.94705349, 0.91928953, 0.91726917, 0.9179126 , 0.90684509,
0.92514193, 0.92277986, 0.87597239, 0.90206474, 0.94112331,
0.93085694, 0.91340065, 0.94977641, 1.01171374, 0.93874449,
0.90131497, 0.93048233, 0.94848776, 0.93480217, 0.92568541,
0.9283554 , 0.93190175, 0.92235953, 0.92690361, 0.96620417,
0.92653179, 0.93103254, 0.97061545, 0.94549006, 0.91937351,
0.93627024, 0.97201818, 1.09911346, 1.16527092, 1.04997861,
0.90784949, 0.95335245, 0.9353978 , 0.92086375, 0.90854692,
0.82985646, 0.73331165, 0.67417288, 0.68860924, 0.79783469,
0.85599375, 0.81535262, 0.81019193, 0.85748291, 0.89108664,
0.91288 , 0.94526297, 0.96063513, 0.9467743 , 0.92668331,
0.87446505, 0.9118492 , 0.93976748, 0.9474175 , 0.97489047,
0.9494167 , 0.92196459, 0.92312151, 0.96214521, 0.95056546,
0.93905973, 0.92774701, 0.93323171, 0.94514322, 0.94421458,
0.94137031, 0.94619852, 0.96306044, 0.93727404, 0.93701667,
0.95680654, 0.92626327, 0.92922413, 0.93768626, 0.92451066,
0.91227943, 0.93627101, 0.96121651, 0.94988763, 0.92520678,
0.94467008, 0.9481855 , 0.93251038, 0.9501341 , 0.92584562,
0.95424193, 0.94633514, 0.93525654, 0.94517219, 0.93170446,
0.95749831, 0.95141488, 0.95432842, 0.94047028, 0.96747023,
0.97679138, 0.98610234, 0.97296113, 0.96753269, 0.95683581,
0.94002271, 0.9660086 , 0.94320977, 0.94154847, 0.9650203 ,
0.98158133, 0.95111406, 0.92097622, 0.90263748, 0.89434713,
0.91336095, 0.94246763, 0.98103905, 0.97943807, 0.96809453,
0.95817536, 0.9616285 , 0.93249184, 0.9384445 , 0.97446108,
0.97051805, 0.9771651 , 0.99977976, 0.95861566, 0.95525223,
0.95799536, 0.95666933, 0.96808481, 0.96804172, 0.97211796,
1.00245643, 0.97306669, 0.94788885, 0.92479193, 0.95074177,
0.98488945, 0.93859708, 0.9286409 , 0.92393476, 0.91663164,
0.93921959, 0.95108479, 0.90372437, 0.9113273 , 0.94309944,
0.94905704, 0.91810924, 0.92506135, 0.94002974, 0.92623144,
0.92018849, 0.92529303, 0.94158667, 0.94377476, 0.93655092,
0.92842364, 0.92422724, 0.94680429, 0.98425514, 0.94614035,
0.93086421, 0.95460129, 0.94256246, 0.92192352, 0.92722636,
0.91262776, 0.9252339 , 0.91678476, 0.91716444, 0.91613954,
0.9252947 , 0.92714131, 0.92713213, 1.0397861 , 1.02351296,
0.8128047 , 1.0176512 , 0.94086474, 0.75395668, 0.96898854,
0.9371298 , 1.06103468, 1.0037545 , 0.82421124, 0.97551656,
0.94603878, 0.87620038, 0.95251197, 0.98374319, 0.92792708,
0.91708678, 0.96327621, 0.91279733, 0.90569234, 0.93055844,
0.92987436, 0.93560189, 0.91649979, 0.94016713, 0.96054155,
0.94306189, 0.94623899, 0.96809548, 0.93264419, 0.86833668,
1.27948296, 1.20997894, 0.64989072, 0.94528961, 1.10185647,
0.89640617, 0.91626042, 0.91803122, 0.89726818, 0.88656181,
0.88950169, 0.91086316, 0.95146179, 0.95656049, 0.87601519,
0.91902006, 0.96398753, 0.94570607, 0.95805252, 0.95472634,
1.00643694, 1.02696848, 0.89188635, 0.91108018, 0.9735868 ,
0.95889336, 0.93246388, 0.94834697, 0.89872289, 1.01888537,
1.26497352, 0.97057366, 0.87952185, 1.27151811, 0.97514623,
0.92483193, 0.95570052, 0.93518323, 1.01894438, 1.00068367,
0.79850882, 0.88655591, 0.95610631, 0.91108459, 0.96092129,
0.9299798 , 0.97918749, 1.1305989 , 0.97769105, 0.87418348,
1.06284881, 0.97409225, 0.9237718 , 0.95498812, 0.92441183,
0.92059153, 0.96826422, 0.96282607, 1.02171123, 1.06786036,
0.9230696 , 0.96215904, 1.01191533, 0.96522278, 0.94324183,
0.92250007, 0.99214226, 0.90794963, 0.82233751, 0.91124725,
0.93789601, 0.96536928, 0.93888623, 0.93543935, 0.98310876,
0.9461354 , 0.92974842, 0.94069922, 0.92161709, 0.8371709 ,
0.84559065, 0.97356308, 0.99000078, 0.80628312, 0.82281405,
0.90995365, 0.92135733, 0.96799254, 1.01894975, 0.87647444,
0.73807776, 0.91689718, 0.94266814, 0.8923009 , 0.89935732,
0.90988064, 0.88664681, 0.86050808, 0.89371681, 0.86229926,
0.84994811, 0.88495535, 0.85340351, 0.86477351, 0.86314821,
0.8721295 , 0.91708064, 0.92604655, 0.84761405, 0.8580206 ,
0.86560714, 0.84422892, 0.86392456, 0.88263506, 0.81374145,
0.84662676, 0.87699014, 0.84842408, 0.84260446, 0.85524011,
0.8539018 , 0.84904593, 0.85215211, 0.86985916, 0.88758999,
0.92218614, 0.90763748, 0.90110356, 0.90508872, 0.89275032,
0.91952556, 0.89400476, 0.86514568, 0.91060424, 0.90171534,
0.85748351, 0.83271402, 0.8560524 , 0.88986951, 0.91736841,
0.93744195, 0.84088266, 0.82480371, 0.89695752, 0.85976642,
0.84001756, 0.8655442 , 0.93387914, 0.91340381, 0.88113463,
0.8801322 , 0.88701749, 0.88815528, 0.90062302, 0.90385216,
0.86097103, 0.89711374, 0.94036555, 0.83782423, 0.82509047,
0.88284582, 0.86971623, 0.87012541, 0.88034451, 0.87354112,
0.87604469, 0.82461023, 0.81778383, 0.8698802 , 0.84656781,
0.84342861, 0.89018005, 0.87420255, 0.87754107, 0.87289464,
0.86789399, 0.85427469, 0.86080563, 0.84731203, 0.82963228,
0.85768723, 0.85764551, 0.86399877, 0.86474687, 0.86290008,
0.85483479, 0.84399045, 0.87762779, 0.90566123, 0.91499186,
0.78972429, 0.70146281, 0.76311636, 0.78670615, 0.78895545,
0.83004695, 0.83584523, 0.82843858, 0.85755944, 0.84808683,
0.81779647, 0.84691805, 0.83667594, 0.82755953, 0.85195655,
0.83530617, 0.85497022, 0.84487373, 0.82462257, 0.80627781,
0.82784456, 0.86099404, 0.8676815 , 0.87173527, 0.85578841,
0.82830805, 0.83444375, 0.8500188 , 0.84053069, 0.86559397,
0.84361029, 0.86093503, 0.84365588, 0.87631726, 0.94827265,
0.91643333, 0.70224398, 0.70872647, 0.86697143, 0.88967717,
0.8683418 , 0.87065017, 0.85192317, 0.84871864, 0.91237688,
0.92541945, 0.81548476, 0.83059704, 0.8822329 , 0.85057551,
0.84583247, 0.89209229, 0.93516719, 1.02220881, 0.90792269,
0.91162843, 1.12985349, 1.23699915, 1.17236984, 1.05335355,
0.92760235, 0.87492442, 0.89789772, 0.88453084, 0.91808939,
1.02903843, 0.90105462, 0.69909811, 0.58118278, 0.55631608,
0.76390702, 0.85923707, 0.83815825, 0.62904501, 0.52579981,
0.68939471, 0.70047385, 0.84945858, 0.92546934, 0.85777003,
0.83872873, 0.8515591 , 0.768498 , 0.78756058, 0.85269397,
0.85754097, 0.87776649, 0.86026001, 0.84163439, 0.84587842,
0.89089757, 0.87747258, 0.84662551, 0.84954363, 0.94661003,
1.02542412, 0.96404815, 0.74589652, 0.43858132, 0.75799477,
0.9594093 , 0.92556018, 0.82773834, 0.75460351, 0.90135795,
0.90755153, 0.86366493, 0.87024826, 0.89470351, 0.85778648,
0.81483072, 0.80913073, 0.81399459, 0.81664664, 0.83637691,
0.87261766, 0.90874815, 0.84145015, 0.80338734, 0.8398006 ,
0.81647021, 0.77238804, 0.79798704, 0.78579187, 0.81707865,
0.98520666, 1.64582944, 1.2799145 , 0.86405635, 0.8364597 ,
0.80926841, 0.8425799 , 0.91913146, 0.88997239, 0.86723608,
0.94753689, 0.90334344, 0.71801108, 0.79919362, 0.88603115,
0.90034509, 0.89683086, 0.86081189, 0.96607548, 1.095909 ,
0.91181892, 0.59213072, 0.65574682, 0.85230154, 0.8144896 ,
0.8312459 , 0.79360425, 0.83739889, 0.88048714, 0.84925455,
0.78011811, 0.85810238, 0.99340576, 0.89083397, 0.7507959 ,
0.8669489 , 0.75977242, 0.88174677, 0.88028562, 0.98652047,
1.08872807, 0.59873205, 0.60240978, 0.84399205, 0.88177484,
0.84290624, 0.79236794, 0.89298254, 0.82481015, 0.78726286,
0.82185215, 0.96863216, 0.8928647 , 0.77996951, 0.85049093,
0.86679131, 0.77697641, 0.75931251, 0.7082966 , 0.8331607 ,
0.81286013, 0.8408469 , 0.86887091, 0.86152899, 0.77752018,
0.78674692, 0.80769193, 0.78928339, 0.74845719, 0.86593252,
0.87981427, 0.83618838, 0.77429414, 0.79864424, 0.80038255,
0.90287834, 0.828641 , 0.78955114, 0.81700206, 0.87271953,
0.83659929, 0.79449487, 0.8834759 , 0.76968092, 0.72351706,
0.83814442, 0.96353686, 1.00209546, 1.00263464, 0.88388544,
0.5391202 , 0.56405598, 0.84645599, 0.87275553, 0.66758609,
0.70138699, 0.94423741, 0.81619805, 0.76781166, 0.80998886,
0.70225143, 0.83604902, 0.80875462, 0.72259116, 0.80815196,
0.83415496, 0.67416698, 0.7369374 , 0.80433667, 0.7175476 ,
0.78327453, 0.93709832, 0.68851137, 0. , 0. ,
0. , 0. , 0. ], dtype=float32)
In [18]:
# turn on interactive plotting
%matplotlib notebook
Warning: Cannot change to a different GUI toolkit: notebook. Using nbagg instead.
In [19]:
spax.spectrum.plot()
Out[19]:
<matplotlib.axes._subplots.AxesSubplot at 0x106a99bd0>
Save plot to Downloads directory:
In [20]:
# To save the plot, we need to draw it in the same cell as the save command.
spax.spectrum.plot()
import os
plt.savefig(os.getenv('HOME') + '/Downloads/my-first-spectrum.png')
# NOTE - if you are using the latest version of iPython and Jupyter notebooks, then interactive matplotlib plots
# should be enabled. You can save the figure with the save icon in the interactive toolbar.
By default, the spaxel object contains the DAP properties for that spaxel in the unbinned MAPS.
In [21]:
spax.properties
Out[21]:
{u'bin_area': <AnalysisProperty (name=bin_area, channels=None, value=0.5 ivar=None, mask=None)>,
u'bin_farea': <AnalysisProperty (name=bin_farea, channels=None, value=1.0 ivar=None, mask=None)>,
u'bin_lwellcoo_lum_weighted_elliptical_azimuth': <AnalysisProperty (name=bin_lwellcoo, channels=lum_weighted_elliptical_azimuth, value=113.661 ivar=None, mask=None)>,
u'bin_lwellcoo_lum_weighted_elliptical_radius': <AnalysisProperty (name=bin_lwellcoo, channels=lum_weighted_elliptical_radius, value=0.0103323 ivar=None, mask=None)>,
u'bin_lwskycoo_lum_weighted_on_sky_x': <AnalysisProperty (name=bin_lwskycoo, channels=lum_weighted_on_sky_x, value=-0.00925397 ivar=None, mask=None)>,
u'bin_lwskycoo_lum_weighted_on_sky_y': <AnalysisProperty (name=bin_lwskycoo, channels=lum_weighted_on_sky_y, value=0.00023976 ivar=None, mask=None)>,
u'bin_mflux': <AnalysisProperty (name=bin_mflux, channels=None, value=1.05485 ivar=2256.17, mask=0)>,
u'bin_snr': <AnalysisProperty (name=bin_snr, channels=None, value=51.7457 ivar=None, mask=None)>,
u'binid': <AnalysisProperty (name=binid, channels=None, value=197 ivar=None, mask=None)>,
u'emline_gflux_ha_6564': <AnalysisProperty (name=emline_gflux, channels=ha_6564, value=31.4754199982 ivar=47.0896835327, mask=0)>,
u'emline_gflux_hb_4862': <AnalysisProperty (name=emline_gflux, channels=hb_4862, value=6.46903 ivar=116.449798584, mask=0)>,
u'emline_gflux_hdel_4102': <AnalysisProperty (name=emline_gflux, channels=hdel_4102, value=0.959292 ivar=167.573699951, mask=0)>,
u'emline_gflux_hei_5877': <AnalysisProperty (name=emline_gflux, channels=hei_5877, value=0.94644 ivar=65.4858627319, mask=0)>,
u'emline_gflux_heii_4687': <AnalysisProperty (name=emline_gflux, channels=heii_4687, value=0.0655591 ivar=15.8514404297, mask=1073742080)>,
u'emline_gflux_heps_3971': <AnalysisProperty (name=emline_gflux, channels=heps_3971, value=0.408048 ivar=208.022750854, mask=0)>,
u'emline_gflux_hgam_4341': <AnalysisProperty (name=emline_gflux, channels=hgam_4341, value=2.43873 ivar=133.20552063, mask=0)>,
u'emline_gflux_nii_6549': <AnalysisProperty (name=emline_gflux, channels=nii_6549, value=3.81333 ivar=116.180053711, mask=0)>,
u'emline_gflux_nii_6585': <AnalysisProperty (name=emline_gflux, channels=nii_6585, value=12.4412679672 ivar=87.8971557617, mask=0)>,
u'emline_gflux_oi_6302': <AnalysisProperty (name=emline_gflux, channels=oi_6302, value=0.589991 ivar=170.93989563, mask=0)>,
u'emline_gflux_oi_6365': <AnalysisProperty (name=emline_gflux, channels=oi_6365, value=0.150375 ivar=232.037643433, mask=32)>,
u'emline_gflux_oii_3727': <AnalysisProperty (name=emline_gflux, channels=oii_3727, value=0.188201755285 ivar=35.0001144409, mask=0)>,
u'emline_gflux_oii_3729': <AnalysisProperty (name=emline_gflux, channels=oii_3729, value=5.6287 ivar=15.3370466232, mask=0)>,
u'emline_gflux_oiid_3728': <AnalysisProperty (name=emline_gflux, channels=oiid_3728, value=5.84647 ivar=42.0541496277, mask=0)>,
u'emline_gflux_oiii_4960': <AnalysisProperty (name=emline_gflux, channels=oiii_4960, value=0.546727 ivar=163.435119629, mask=0)>,
u'emline_gflux_oiii_5008': <AnalysisProperty (name=emline_gflux, channels=oiii_5008, value=1.65409767628 ivar=140.620117188, mask=0)>,
u'emline_gflux_sii_6718': <AnalysisProperty (name=emline_gflux, channels=sii_6718, value=4.73007 ivar=118.743682861, mask=0)>,
u'emline_gflux_sii_6732': <AnalysisProperty (name=emline_gflux, channels=sii_6732, value=3.46099281311 ivar=107.590751648, mask=0)>,
u'emline_gflux_siii_8831': <AnalysisProperty (name=emline_gflux, channels=siii_8831, value=0.143611 ivar=271.743652344, mask=0)>,
u'emline_gflux_siii_9071': <AnalysisProperty (name=emline_gflux, channels=siii_9071, value=2.203 ivar=13.4178905487, mask=0)>,
u'emline_gflux_siii_9533': <AnalysisProperty (name=emline_gflux, channels=siii_9533, value=2.81659 ivar=15.4064559937, mask=0)>,
u'emline_gsigma_ha_6564': <AnalysisProperty (name=emline_gsigma, channels=ha_6564, value=107.435 ivar=4.1751666069, mask=0)>,
u'emline_gsigma_hb_4862': <AnalysisProperty (name=emline_gsigma, channels=hb_4862, value=105.546 ivar=0.392026126385, mask=0)>,
u'emline_gsigma_hdel_4102': <AnalysisProperty (name=emline_gsigma, channels=hdel_4102, value=96.8217 ivar=0.0136438328773, mask=0)>,
u'emline_gsigma_hei_5877': <AnalysisProperty (name=emline_gsigma, channels=hei_5877, value=144.69 ivar=0.00257457932457, mask=0)>,
u'emline_gsigma_heii_4687': <AnalysisProperty (name=emline_gsigma, channels=heii_4687, value=30.0 ivar=1.08538342829e-05, mask=1073742080)>,
u'emline_gsigma_heps_3971': <AnalysisProperty (name=emline_gsigma, channels=heps_3971, value=92.5299 ivar=0.00339015643112, mask=0)>,
u'emline_gsigma_hgam_4341': <AnalysisProperty (name=emline_gsigma, channels=hgam_4341, value=112.622 ivar=0.053809158504, mask=0)>,
u'emline_gsigma_nii_6549': <AnalysisProperty (name=emline_gsigma, channels=nii_6549, value=111.028 ivar=0.123024255037, mask=0)>,
u'emline_gsigma_nii_6585': <AnalysisProperty (name=emline_gsigma, channels=nii_6585, value=110.854 ivar=1.02286744118, mask=0)>,
u'emline_gsigma_oi_6302': <AnalysisProperty (name=emline_gsigma, channels=oi_6302, value=83.3232 ivar=0.00721633573994, mask=0)>,
u'emline_gsigma_oi_6365': <AnalysisProperty (name=emline_gsigma, channels=oi_6365, value=70.4734 ivar=0.000877198704984, mask=32)>,
u'emline_gsigma_oii_3727': <AnalysisProperty (name=emline_gsigma, channels=oii_3727, value=41.6102 ivar=0.000414749665651, mask=0)>,
u'emline_gsigma_oii_3729': <AnalysisProperty (name=emline_gsigma, channels=oii_3729, value=176.201 ivar=0.0171141214669, mask=0)>,
u'emline_gsigma_oiid_3728': <AnalysisProperty (name=emline_gsigma, channels=oiid_3728, value=183.535 ivar=0.0396473892033, mask=0)>,
u'emline_gsigma_oiii_4960': <AnalysisProperty (name=emline_gsigma, channels=oiii_4960, value=106.081 ivar=0.00351409520954, mask=0)>,
u'emline_gsigma_oiii_5008': <AnalysisProperty (name=emline_gsigma, channels=oiii_5008, value=114.547 ivar=0.0244274772704, mask=0)>,
u'emline_gsigma_sii_6718': <AnalysisProperty (name=emline_gsigma, channels=sii_6718, value=105.018 ivar=0.217996761203, mask=0)>,
u'emline_gsigma_sii_6732': <AnalysisProperty (name=emline_gsigma, channels=sii_6732, value=108.367 ivar=0.0989250764251, mask=0)>,
u'emline_gsigma_siii_8831': <AnalysisProperty (name=emline_gsigma, channels=siii_8831, value=39.4154 ivar=0.00115497189108, mask=0)>,
u'emline_gsigma_siii_9071': <AnalysisProperty (name=emline_gsigma, channels=siii_9071, value=95.9061 ivar=0.0120693799108, mask=0)>,
u'emline_gsigma_siii_9533': <AnalysisProperty (name=emline_gsigma, channels=siii_9533, value=100.141 ivar=0.0123395444825, mask=0)>,
u'emline_gvel_ha_6564': <AnalysisProperty (name=emline_gvel, channels=ha_6564, value=0.62407 ivar=3.64958429337, mask=0)>,
u'emline_gvel_hb_4862': <AnalysisProperty (name=emline_gvel, channels=hb_4862, value=2.06828 ivar=0.407559484243, mask=0)>,
u'emline_gvel_hdel_4102': <AnalysisProperty (name=emline_gvel, channels=hdel_4102, value=-4.5836 ivar=0.0154881989583, mask=0)>,
u'emline_gvel_hei_5877': <AnalysisProperty (name=emline_gvel, channels=hei_5877, value=45.3464 ivar=0.00309667433612, mask=0)>,
u'emline_gvel_heii_4687': <AnalysisProperty (name=emline_gvel, channels=heii_4687, value=68.5699 ivar=4.95216518175e-05, mask=1073742080)>,
u'emline_gvel_heps_3971': <AnalysisProperty (name=emline_gvel, channels=heps_3971, value=9.14683 ivar=0.00389168644324, mask=0)>,
u'emline_gvel_hgam_4341': <AnalysisProperty (name=emline_gvel, channels=hgam_4341, value=2.59348 ivar=0.0599127821624, mask=0)>,
u'emline_gvel_nii_6549': <AnalysisProperty (name=emline_gvel, channels=nii_6549, value=1.25175 ivar=0.135599672794, mask=0)>,
u'emline_gvel_nii_6585': <AnalysisProperty (name=emline_gvel, channels=nii_6585, value=1.7015 ivar=1.0590736866, mask=0)>,
u'emline_gvel_oi_6302': <AnalysisProperty (name=emline_gvel, channels=oi_6302, value=6.21784 ivar=0.00842358358204, mask=0)>,
u'emline_gvel_oi_6365': <AnalysisProperty (name=emline_gvel, channels=oi_6365, value=66.038 ivar=0.00101713696495, mask=32)>,
u'emline_gvel_oii_3727': <AnalysisProperty (name=emline_gvel, channels=oii_3727, value=-102.123 ivar=0.00141055043787, mask=0)>,
u'emline_gvel_oii_3729': <AnalysisProperty (name=emline_gvel, channels=oii_3729, value=-85.1366 ivar=0.0123348906636, mask=0)>,
u'emline_gvel_oiid_3728': <AnalysisProperty (name=emline_gvel, channels=oiid_3728, value=17.8919 ivar=0.0415128543973, mask=0)>,
u'emline_gvel_oiii_4960': <AnalysisProperty (name=emline_gvel, channels=oiii_4960, value=20.1336 ivar=0.00389297003858, mask=0)>,
u'emline_gvel_oiii_5008': <AnalysisProperty (name=emline_gvel, channels=oiii_5008, value=1.08902 ivar=0.0262244716287, mask=0)>,
u'emline_gvel_sii_6718': <AnalysisProperty (name=emline_gvel, channels=sii_6718, value=3.03573 ivar=0.243650242686, mask=0)>,
u'emline_gvel_sii_6732': <AnalysisProperty (name=emline_gvel, channels=sii_6732, value=6.64201 ivar=0.109866134822, mask=0)>,
u'emline_gvel_siii_8831': <AnalysisProperty (name=emline_gvel, channels=siii_8831, value=122.878 ivar=0.00165161443874, mask=0)>,
u'emline_gvel_siii_9071': <AnalysisProperty (name=emline_gvel, channels=siii_9071, value=6.04248 ivar=0.00864528026432, mask=0)>,
u'emline_gvel_siii_9533': <AnalysisProperty (name=emline_gvel, channels=siii_9533, value=26.6156 ivar=0.0127635598183, mask=0)>,
u'emline_instsigma_ha_6564': <AnalysisProperty (name=emline_instsigma, channels=ha_6564, value=76.2874 ivar=None, mask=None)>,
u'emline_instsigma_hb_4862': <AnalysisProperty (name=emline_instsigma, channels=hb_4862, value=81.8388 ivar=None, mask=None)>,
u'emline_instsigma_hdel_4102': <AnalysisProperty (name=emline_instsigma, channels=hdel_4102, value=102.969 ivar=None, mask=None)>,
u'emline_instsigma_hei_5877': <AnalysisProperty (name=emline_instsigma, channels=hei_5877, value=77.2739 ivar=None, mask=None)>,
u'emline_instsigma_heii_4687': <AnalysisProperty (name=emline_instsigma, channels=heii_4687, value=0.0 ivar=None, mask=None)>,
u'emline_instsigma_heps_3971': <AnalysisProperty (name=emline_instsigma, channels=heps_3971, value=107.301 ivar=None, mask=None)>,
u'emline_instsigma_hgam_4341': <AnalysisProperty (name=emline_instsigma, channels=hgam_4341, value=95.5611 ivar=None, mask=None)>,
u'emline_instsigma_nii_6549': <AnalysisProperty (name=emline_instsigma, channels=nii_6549, value=76.4535 ivar=None, mask=None)>,
u'emline_instsigma_nii_6585': <AnalysisProperty (name=emline_instsigma, channels=nii_6585, value=76.0703 ivar=None, mask=None)>,
u'emline_instsigma_oi_6302': <AnalysisProperty (name=emline_instsigma, channels=oi_6302, value=79.2836 ivar=None, mask=None)>,
u'emline_instsigma_oi_6365': <AnalysisProperty (name=emline_instsigma, channels=oi_6365, value=78.5168 ivar=None, mask=None)>,
u'emline_instsigma_oii_3727': <AnalysisProperty (name=emline_instsigma, channels=oii_3727, value=115.567 ivar=None, mask=None)>,
u'emline_instsigma_oii_3729': <AnalysisProperty (name=emline_instsigma, channels=oii_3729, value=115.505 ivar=None, mask=None)>,
u'emline_instsigma_oiid_3728': <AnalysisProperty (name=emline_instsigma, channels=oiid_3728, value=115.509 ivar=None, mask=None)>,
u'emline_instsigma_oiii_4960': <AnalysisProperty (name=emline_instsigma, channels=oiii_4960, value=79.692 ivar=None, mask=None)>,
u'emline_instsigma_oiii_5008': <AnalysisProperty (name=emline_instsigma, channels=oiii_5008, value=78.7436 ivar=None, mask=None)>,
u'emline_instsigma_sii_6718': <AnalysisProperty (name=emline_instsigma, channels=sii_6718, value=74.6721 ivar=None, mask=None)>,
u'emline_instsigma_sii_6732': <AnalysisProperty (name=emline_instsigma, channels=sii_6732, value=74.5232 ivar=None, mask=None)>,
u'emline_instsigma_siii_8831': <AnalysisProperty (name=emline_instsigma, channels=siii_8831, value=56.6193 ivar=None, mask=None)>,
u'emline_instsigma_siii_9071': <AnalysisProperty (name=emline_instsigma, channels=siii_9071, value=56.4816 ivar=None, mask=None)>,
u'emline_instsigma_siii_9533': <AnalysisProperty (name=emline_instsigma, channels=siii_9533, value=59.2825 ivar=None, mask=None)>,
u'emline_sew_ha_6564': <AnalysisProperty (name=emline_sew, channels=ha_6564, value=28.8814373016 ivar=92.292388916, mask=0)>,
u'emline_sew_hb_4862': <AnalysisProperty (name=emline_sew, channels=hb_4862, value=5.89019775391 ivar=94.5422286987, mask=0)>,
u'emline_sew_hdel_4102': <AnalysisProperty (name=emline_sew, channels=hdel_4102, value=0.607999444008 ivar=50.7911720276, mask=0)>,
u'emline_sew_hei_5877': <AnalysisProperty (name=emline_sew, channels=hei_5877, value=0.883851706982 ivar=99.166343689, mask=0)>,
u'emline_sew_heii_4687': <AnalysisProperty (name=emline_sew, channels=heii_4687, value=-0.209642589092 ivar=91.360206604, mask=0)>,
u'emline_sew_heps_3971': <AnalysisProperty (name=emline_sew, channels=heps_3971, value=0.61309337616 ivar=42.8005523682, mask=0)>,
u'emline_sew_hgam_4341': <AnalysisProperty (name=emline_sew, channels=hgam_4341, value=2.31119704247 ivar=63.5453681946, mask=0)>,
u'emline_sew_nii_6549': <AnalysisProperty (name=emline_sew, channels=nii_6549, value=3.45532417297 ivar=242.143692017, mask=0)>,
u'emline_sew_nii_6585': <AnalysisProperty (name=emline_sew, channels=nii_6585, value=11.4716386795 ivar=138.050491333, mask=0)>,
u'emline_sew_oi_6302': <AnalysisProperty (name=emline_sew, channels=oi_6302, value=0.365917444229 ivar=159.873519897, mask=0)>,
u'emline_sew_oi_6365': <AnalysisProperty (name=emline_sew, channels=oi_6365, value=-0.0475944392383 ivar=185.969421387, mask=0)>,
u'emline_sew_oii_3727': <AnalysisProperty (name=emline_sew, channels=oii_3727, value=0.0 ivar=0.0, mask=1073741840)>,
u'emline_sew_oii_3729': <AnalysisProperty (name=emline_sew, channels=oii_3729, value=0.0 ivar=0.0, mask=1073741840)>,
u'emline_sew_oiid_3728': <AnalysisProperty (name=emline_sew, channels=oiid_3728, value=10.4243888855 ivar=10.4577541351, mask=0)>,
u'emline_sew_oiii_4960': <AnalysisProperty (name=emline_sew, channels=oiii_4960, value=0.489810168743 ivar=106.730903625, mask=0)>,
u'emline_sew_oiii_5008': <AnalysisProperty (name=emline_sew, channels=oiii_5008, value=1.65789568424 ivar=103.207641602, mask=0)>,
u'emline_sew_sii_6718': <AnalysisProperty (name=emline_sew, channels=sii_6718, value=4.44641256332 ivar=247.164352417, mask=0)>,
u'emline_sew_sii_6732': <AnalysisProperty (name=emline_sew, channels=sii_6732, value=3.24782037735 ivar=224.483001709, mask=0)>,
u'emline_sew_siii_8831': <AnalysisProperty (name=emline_sew, channels=siii_8831, value=0.208137333393 ivar=208.303222656, mask=0)>,
u'emline_sew_siii_9071': <AnalysisProperty (name=emline_sew, channels=siii_9071, value=1.49648869038 ivar=21.6301193237, mask=0)>,
u'emline_sew_siii_9533': <AnalysisProperty (name=emline_sew, channels=siii_9533, value=4.27848720551 ivar=31.2339344025, mask=0)>,
u'emline_sflux_ha_6564': <AnalysisProperty (name=emline_sflux, channels=ha_6564, value=31.1677 ivar=79.2489013672, mask=0)>,
u'emline_sflux_hb_4862': <AnalysisProperty (name=emline_sflux, channels=hb_4862, value=6.18921 ivar=85.627784729, mask=0)>,
u'emline_sflux_hdel_4102': <AnalysisProperty (name=emline_sflux, channels=hdel_4102, value=0.536861 ivar=65.1435165405, mask=0)>,
u'emline_sflux_hei_5877': <AnalysisProperty (name=emline_sflux, channels=hei_5877, value=0.910585 ivar=93.4291915894, mask=0)>,
u'emline_sflux_heii_4687': <AnalysisProperty (name=emline_sflux, channels=heii_4687, value=-0.220511 ivar=82.5761032104, mask=0)>,
u'emline_sflux_heps_3971': <AnalysisProperty (name=emline_sflux, channels=heps_3971, value=0.496755 ivar=65.1956481934, mask=0)>,
u'emline_sflux_hgam_4341': <AnalysisProperty (name=emline_sflux, channels=hgam_4341, value=2.15802 ivar=72.8864898682, mask=0)>,
u'emline_sflux_nii_6549': <AnalysisProperty (name=emline_sflux, channels=nii_6549, value=3.73008 ivar=207.785003662, mask=0)>,
u'emline_sflux_nii_6585': <AnalysisProperty (name=emline_sflux, channels=nii_6585, value=12.374 ivar=118.650268555, mask=0)>,
u'emline_sflux_oi_6302': <AnalysisProperty (name=emline_sflux, channels=oi_6302, value=0.387552 ivar=142.52192688, mask=0)>,
u'emline_sflux_oi_6365': <AnalysisProperty (name=emline_sflux, channels=oi_6365, value=-0.0515111 ivar=158.764221191, mask=0)>,
u'emline_sflux_oii_3727': <AnalysisProperty (name=emline_sflux, channels=oii_3727, value=0.0 ivar=0.0, mask=1073741840)>,
u'emline_sflux_oii_3729': <AnalysisProperty (name=emline_sflux, channels=oii_3729, value=0.0 ivar=0.0, mask=1073741840)>,
u'emline_sflux_oiid_3728': <AnalysisProperty (name=emline_sflux, channels=oiid_3728, value=6.17741 ivar=29.7801208496, mask=0)>,
u'emline_sflux_oiii_4960': <AnalysisProperty (name=emline_sflux, channels=oiii_4960, value=0.516368 ivar=96.0343170166, mask=0)>,
u'emline_sflux_oiii_5008': <AnalysisProperty (name=emline_sflux, channels=oiii_5008, value=1.70083 ivar=98.0624237061, mask=0)>,
u'emline_sflux_sii_6718': <AnalysisProperty (name=emline_sflux, channels=sii_6718, value=4.77541 ivar=214.281173706, mask=0)>,
u'emline_sflux_sii_6732': <AnalysisProperty (name=emline_sflux, channels=sii_6732, value=3.4848 ivar=194.989364624, mask=0)>,
u'emline_sflux_siii_8831': <AnalysisProperty (name=emline_sflux, channels=siii_8831, value=0.203115 ivar=218.730911255, mask=0)>,
u'emline_sflux_siii_9071': <AnalysisProperty (name=emline_sflux, channels=siii_9071, value=1.44275 ivar=23.2714061737, mask=0)>,
u'emline_sflux_siii_9533': <AnalysisProperty (name=emline_sflux, channels=siii_9533, value=3.84384 ivar=38.6969680786, mask=0)>,
u'specindex_corr_d4000': <AnalysisProperty (name=specindex_corr, channels=d4000, value=1.00082 ivar=None, mask=None)>,
u'specindex_corr_dn4000': <AnalysisProperty (name=specindex_corr, channels=dn4000, value=1.0019 ivar=None, mask=None)>,
u'specindex_d4000': <AnalysisProperty (name=specindex, channels=d4000, value=1.51411 ivar=28732.9882812, mask=0)>,
u'specindex_dn4000': <AnalysisProperty (name=specindex, channels=dn4000, value=1.3143 ivar=20356.1953125, mask=0)>,
u'spx_ellcoo_elliptical_azimuth': <AnalysisProperty (name=spx_ellcoo, channels=elliptical_azimuth, value=113.661 ivar=None, mask=None)>,
u'spx_ellcoo_elliptical_radius': <AnalysisProperty (name=spx_ellcoo, channels=elliptical_radius, value=0.0103323 ivar=None, mask=None)>,
u'spx_mflux': <AnalysisProperty (name=spx_mflux, channels=None, value=1.05485 ivar=1.05485, mask=None)>,
u'spx_skycoo_on_sky_x': <AnalysisProperty (name=spx_skycoo, channels=on_sky_x, value=-0.00925397 ivar=None, mask=None)>,
u'spx_skycoo_on_sky_y': <AnalysisProperty (name=spx_skycoo, channels=on_sky_y, value=0.00023976 ivar=None, mask=None)>,
u'spx_snr': <AnalysisProperty (name=spx_snr, channels=None, value=51.7457 ivar=None, mask=None)>,
u'stellar_cont_fresid_68th_percentile': <AnalysisProperty (name=stellar_cont_fresid, channels=68th_percentile, value=0.0256727 ivar=None, mask=None)>,
u'stellar_cont_fresid_99th_percentile': <AnalysisProperty (name=stellar_cont_fresid, channels=99th_percentile, value=0.106305 ivar=None, mask=None)>,
u'stellar_cont_rchi2': <AnalysisProperty (name=stellar_cont_rchi2, channels=None, value=1.13474 ivar=None, mask=None)>,
u'stellar_sigma': <AnalysisProperty (name=stellar_sigma, channels=None, value=89.046 ivar=0.100741, mask=0)>,
u'stellar_sigmacorr': <AnalysisProperty (name=stellar_sigmacorr, channels=None, value=62.3983 ivar=None, mask=None)>,
u'stellar_vel': <AnalysisProperty (name=stellar_vel, channels=None, value=35.5337 ivar=0.166013, mask=0)>}
In [23]:
# Gets the ha_alpha flux and the ivar
ha_flux = spax.properties['emline_gflux_ha_6564']
print(ha_flux.value, ha_flux.ivar, ha_flux.mask)
31.4754199982 47.0896835327 0
Marvin Maps takes the same inputs as cube: filename, plateifu, or mangaid. It also accepts keywords bintype and template_kin. These uniquely define a DAP MAPS file. By default, Marvin will load a MAPS file of bintype=SPX and template_kin=GAU-MILESHC for MPL-5. For MPL-4, the defaults are bintype=NONE, and template_kin=MIUSCAT-THIN.
In [24]:
# import the maps
from marvin.tools.maps import Maps
# Load a MPL-5 map
mapfile = './manga-8485-1901-MAPS-SPX-GAU-MILESHC.fits.gz'
# Let's get a default map of
maps = Maps(filename=mapfile)
print(maps)
<Marvin Maps (plateifu='8485-1901', mode='local', data_origin='file', bintype=SPX,template_kin=GAU-MILESHC)>
Once you have a maps object, you can access the raw maps file and header and extensions via maps.header and maps.data. Alternatively, you can access individual maps using the getMap method. getMap works by specifying a parameter and a channel. The parameter and channels names are equivalent to those found in the MAPS FITS extensions and headers, albeit lowercased.
In [25]:
# Let's grab the H-alpha flux emission line map
haflux = maps.getMap('emline_gflux', channel='ha_6564')
print(haflux)
<Marvin Map (plateifu='8485-1901', property='emline_gflux', channel='ha_6564')>
In [26]:
# turn on interactive plotting
%matplotlib notebook
# let's plot it
haflux.plot()
Warning: Cannot change to a different GUI toolkit: notebook. Using nbagg instead.
Out[26]:
<matplotlib.axes._subplots.AxesSubplot at 0x10c2cd650>
In [27]:
# You can get the flux and ivar arrays
haflux.value, haflux.mask
Out[27]:
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From the maps object, we can also easily plot the ratio between two maps, e.g. emission-line ratios, using the getMapRatio method. Map ratios are Map objects the same as any other, so you can access their array values or plot them
In [30]:
# Let's look at the NII-to-Halpha emission-line ratio map
niiha = maps.getMapRatio('emline_gflux', 'nii_6585', 'ha_6564')
print(niiha)
niiha.plot()
<Marvin Map (plateifu='8485-1901', property='emline_gflux', channel='nii_6585/ha_6564')>
Out[30]:
<matplotlib.axes._subplots.AxesSubplot at 0x10e004ed0>
Once we have a cube, we can get its maps using the getMaps method. getMaps is just a wrapper to the Marvin Maps Tool. Once we have the maps, we can do all the same things as before.
In [ ]:
maps = cc.getMaps()
print(maps)
Note that the cube was opened from remote!
MPL-5 introduced LOGCUBE files, which contain the fitted spectra for each spaxel. LOGCUBES are called ModelCube in Marvin, and they are instantiated in the same way as a Cube or a Maps. Let's see it.
In [31]:
from marvin.tools.modelcube import ModelCube
In [32]:
# For the sake of variety, let's open this ModelCube remotely. For that, simply use the plate-ifu of the target.
model_cube = ModelCube(plateifu='8485-1901', bintype='VOR10')
print(model_cube)
<Marvin ModelCube (plateifu='8485-1901', mode='remote', data_origin='api', bintype=u'VOR10', template_kin=u'GAU-MILESHC')>
IMPORTANT: the remote mode rocks!
Let's see a bit more about the model_cube. We can get a spaxel, which will include the properties and the cube spectrum.
In [33]:
sp = model_cube.getSpaxel(x=0, y=0)
print(sp.cube)
print(sp.maps)
print(sp.modelcube)
print('Spaxel bintype is:', sp.bintype)
<Marvin Cube (plateifu='8485-1901', mode='remote', data_origin='api')>
<Marvin Maps (plateifu='8485-1901', mode='remote', data_origin='api', bintype=SPX,template_kin=GAU-MILESHC)>
<Marvin ModelCube (plateifu='8485-1901', mode='remote', data_origin='api', bintype=u'SPX', template_kin=u'GAU-MILESHC')>
Spaxel bintype is: SPX
VERY IMPORTANT: although the original ModelCube was binned (VOR10) an Spaxel is always unbinned (SPX)!!!
We can get the model spectrum for this spaxel. And plot it.
In [36]:
cube_spectrum = sp.spectrum
model_spectrum = sp.model
ax = cube_spectrum.plot(xlim=[6500, 9000])
ax.plot(model_spectrum.wavelength, model_spectrum.flux, 'r')
print(model_spectrum.mask)
None
Starting in Marvin Beta, you can pickle all the objects and restore them later. Let's assume you want to save that last spaxel. You simply do.
In [37]:
sp.save('such_a_great_spaxel.mpf')
Out[37]:
'/Users/albireo/Downloads/marvin_workshop/such_a_great_spaxel.mpf'
And then you can restore by doing
In [38]:
from marvin.tools.spaxel import Spaxel
restored_spaxel = Spaxel.restore('such_a_great_spaxel.mpf')
print(restored_spaxel)
WARNING: The WCS transformation has more axes (3) than the image it is associated with
(0)
<Marvin Spaxel (x=17, y=17; x_cen=0, y_cen=0>
It works for all the objects!
We have seen that the remote mode allows you to access all the Manga data without worrying where it actually lives. However, once you have located the data you want to use for your science you probably will want to download it for faster/airplane access. That easy to do with Marvin. Let's start by creating a maps from remote.
In [ ]:
from marvin.tools.maps import Maps
remote_maps = Maps(plateifu='8485-1902', mode='remote')
print(remote_maps)
Now let's download it!
In [ ]:
filename = remote_maps.download()
print(filename)
For many science purposes, you will want to use binned data. The DAP produces MAPS and LOGCUBES with different types of binning schemas and kinnematic templates. Refer to the DAP documentation for more information.
Marvin makes very easy to access binned data without needing to know much about the gory details of the data model. We have seen already how to get a binned Maps. Now, let's see how to get a Bin and access its spaxels.
In [39]:
from marvin.tools.bin import Bin
bin_100 = Bin(binid=100, plateifu='8485-1901', bintype='VOR10')
print(bin_100)
<Marvin Bin (binid=100, n_spaxels=2, bintype=VOR10, template_kin=GAU-MILESHC)>
You can access all the properties and model data for the bin as you do with an spaxel.
In [40]:
print(bin_100.properties['emline_gflux_ha_6564'])
<AnalysisProperty (name=emline_gflux, channels=ha_6564, value=4.87482595444 ivar=133.923110962, mask=0)>
In [41]:
bin_100.model.plot()
Out[41]:
<matplotlib.axes._subplots.AxesSubplot at 0x112f0fa10>
But you can also access the (unbinned) spaxels for that bin.
In [42]:
print(bin_100.spaxels)
[<Marvin Spaxel (x=18, y=22, loaded=False), <Marvin Spaxel (x=18, y=23, loaded=False)]
You will note that the spaxels are not loaded. That means that the spectra and properties have not yet been retrieved for each spaxel. That is call lazy loading and we do it to improve loading time. You can then load any (or all) of the spaxels doing
In [45]:
bin_100.spaxels[0].load()
print(bin_100.spaxels)
bin_100.spaxels[0].bintype
bin_100.spaxels[0].properties['emline_gflux_ha_6564']
[<Marvin Spaxel (x=18, y=22; x_cen=1, y_cen=5>, <Marvin Spaxel (x=18, y=23, loaded=False)]
Out[45]:
<AnalysisProperty (name=emline_gflux, channels=ha_6564, value=4.87482595444 ivar=133.923110962, mask=0)>
Content source: bretthandrews/marvin
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