[FLASH-USERS] Error in 4.8 and not 4.7.1

Dr. Arthur Hirsch-Passicos a.hirsch at hzdr.de
Mon Aug 26 10:10:49 EDT 2024


Dear Flash users,

As I have observed some consequent differences between the results of my 
FLASH simulations between 4.7.1 and 4.8, I am looking at variations of 
my case. However, I met an issue with the 4.8 version that I don´t 
observe with the 4.7.1 version.

The case are identical, they do have the exact same flash.par, 
Simulation_adjustEvolution.F90, Simulation_customizeProlong.F90, 
Simulation_data.F90, Simulation_init.F90 and Simulation_initBlock.F90.

In the 4.8 run, I do get very quickly a message error:

*abort_message: [Eos] Error: too many iterations in Newton-Raphson*

which is due to negative dE/dt detected.

I tried to set irenorm =1 and to increase eos_max Newton and 
eos_tolerance as seen on the archived thread 
(https://flash.rochester.edu/pipermail/flash-users/2022-November/008229.html)

If one of you has an idea of the change made between versions that would 
cause that and/or have a fix for the Newton-Raphson issue, I would be 
very interested

I here joined the .par file and the log files for both 4.8 and 4.7.1

Thank you in advance for your help.

Best regards

-- 
Dr. Arthur Hirsch-Passicos
Post-doctoral Researcher

Laser Particle Acceleration Division
Institute of Radiation Physics
Helmholtz-Zentrum Dresden-Rossendorf e.V.
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run_comment = "Laser Slab Example Simulation"
log_file    = "lasjet.log"
basenm      = "lasjet_"

# This particular parfile is used as an example that is described in
# detail in the users guide.

##########################
#                        #
#     I/O PARAMETERS     #
#                        #
##########################

### Checkpoint Options  ###
checkpointFileIntervalTime = 1.0
checkpointFileIntervalStep = 1000

### Plot Options ###
plotFileNumber       = 0
plotFileIntervalStep = 100
plotFileIntervalTime = 200e-15
plot_var_1           = "dens" 
plot_var_2           = "depo" 
plot_var_3           = "tele" 
plot_var_4           = "tion" 
plot_var_5           = "trad" 
plot_var_6           = "ye  " 
plot_var_7           = "sumy" 
plot_var_8           = "cham" 
plot_var_9           = "targ" 
plot_var_10          = "pres" 
plot_var_11          = "bdry" 

### Restart Options ###
restart              = .false.
checkpointFileNumber = 0

########################################
#                                      #
#     RADIATION/OPACITY PARAMETERS     #
#                                      #
########################################
rt_useMGD       = .false.
rt_mgdNumGroups = 1
rt_mgdBounds_1  = 1.0e-02
rt_mgdBounds_2  = 1.0e+10
rt_mgdFlMode    = "fl_harmonic"
rt_mgdFlCoef    = 1.0

rt_mgdXlBoundaryType = "vacuum"
rt_mgdXrBoundaryType = "vacuum"
rt_mgdYlBoundaryType = "vacuum"
rt_mgdYrBoundaryType = "vacuum"
rt_mgdZlBoundaryType = "reflecting" 
rt_mgdZrBoundaryType = "reflecting" 

useOpacity     = .false.

### SET CHAMBER (HELIUM) OPACITY OPTIONS ###
op_chamAbsorb   = "op_tabpa"
op_chamEmiss    = "op_tabpe"
op_chamTrans    = "op_tabro"
op_chamFileType = "ionmix4"
op_chamFileName = "H_long.cn4"

### SET TARGET (ALUMINUM) OPACITY OPTIONS ###
op_targAbsorb   = "op_tabpa"
op_targEmiss    = "op_tabpe"
op_targTrans    = "op_tabro"
op_targFileType = "ionmix4"
op_targFileName = "H_long.cn4"


############################
#                          #
#     LASER PARAMETERS     #
#                          #
############################
useEnergyDeposition = .true.
ed_maxRayCount      = 10000
ed_gradOrder        = 2

### LASER IO OPTIONS ###
ed_useLaserIO                      = .false. 
ed_laserIOMaxNumberOfPositions     = 10000 
ed_laserIOMaxNumberOfRays          = 256 

### SETUP LASER PULSES ###
ed_numberOfPulses = 1

### LASER PULSE 1 TEMPORAL PROFILE###
ed_numberOfSections_1 = 849

ed_time_1_1 = 1.20236000000006e-13
ed_power_1_1 = 357609.136161257
ed_time_1_2 = 3.43057000000002e-13
ed_power_1_2 = 65459.2284877664
ed_time_1_3 = 5.698799999999981e-13
ed_power_1_3 = 4.82325583221361
ed_time_1_4 = 8.07378e-13
ed_power_1_4 = 30.8511454896614
ed_time_1_5 = 1.047544e-12
ed_power_1_5 = 19.9682996078131
ed_time_1_6 = 1.269031e-12
ed_power_1_6 = 17.2746549302224
ed_time_1_7 = 1.5051939999999999e-12
ed_power_1_7 = 55454.049306695
ed_time_1_8 = 1.74402600000001e-12
ed_power_1_8 = 50199.4247938136
ed_time_1_9 = 1.98552599999999e-12
ed_power_1_9 = 128912.634840818
ed_time_1_10 = 2.2163529999999997e-12
ed_power_1_10 = 38257.124247629
ed_time_1_11 = 2.44851300000001e-12
ed_power_1_11 = 37468.5099798297
ed_time_1_12 = 2.68734500000001e-12
ed_power_1_12 = 107575.740554144
ed_time_1_13 = 2.9168370000000002e-12
ed_power_1_13 = 56292.4697148676
ed_time_1_14 = 3.14899799999999e-12
ed_power_1_14 = 68460.7387767703
ed_time_1_15 = 3.37849e-12
ed_power_1_15 = 145386.399286785
ed_time_1_16 = 3.614653e-12
ed_power_1_16 = 65370.9171895892
ed_time_1_17 = 3.844145e-12
ed_power_1_17 = 41945.1308759667
ed_time_1_18 = 4.0803089999999994e-12
ed_power_1_18 = 107891.324327568
ed_time_1_19 = 4.31113499999999e-12
ed_power_1_19 = 55128.5452137319
ed_time_1_20 = 4.541961e-12
ed_power_1_20 = 3617.7405959472
ed_time_1_21 = 4.779459e-12
ed_power_1_21 = 3789.77034003278
ed_time_1_22 = 5.01162000000001e-12
ed_power_1_22 = 971.141908792447
ed_time_1_23 = 5.241112e-12
ed_power_1_23 = 3450.13764104953
ed_time_1_24 = 5.47193799999999e-12
ed_power_1_24 = 4091.40223230292
ed_time_1_25 = 5.706767e-12
ed_power_1_25 = 263629.32137649
ed_time_1_26 = 5.930922e-12
ed_power_1_26 = 138149.832996021
ed_time_1_27 = 6.1630830000000005e-12
ed_power_1_27 = 92568.2658126273
ed_time_1_28 = 6.40191499999999e-12
ed_power_1_28 = 400.804048324485
ed_time_1_29 = 6.619398999999999e-12
ed_power_1_29 = 1909.56606681592
ed_time_1_30 = 6.85556199999999e-12
ed_power_1_30 = 432.916915279824
ed_time_1_31 = 7.083719999999999e-12
ed_power_1_31 = 780.705778834538
ed_time_1_32 = 7.321218e-12
ed_power_1_32 = 143290.041452347
ed_time_1_33 = 7.550709999999999e-12
ed_power_1_33 = 193115.536675853
ed_time_1_34 = 7.79621300000001e-12
ed_power_1_34 = 204745.730674021
ed_time_1_35 = 8.003023e-12
ed_power_1_35 = 213001.379687063
ed_time_1_36 = 8.032375999999999e-12
ed_power_1_36 = 189250.575069321
ed_time_1_37 = 8.095086000000011e-12
ed_power_1_37 = 93257.4212066832
ed_time_1_38 = 8.140451e-12
ed_power_1_38 = 92885.4347917497
ed_time_1_39 = 8.213834999999999e-12
ed_power_1_39 = 106723.002159007
ed_time_1_40 = 8.26053400000001e-12
ed_power_1_40 = 93928.9859310386
ed_time_1_41 = 8.308567e-12
ed_power_1_41 = 78173.9844307463
ed_time_1_42 = 8.37528e-12
ed_power_1_42 = 70041.1121559346
ed_time_1_43 = 8.441993e-12
ed_power_1_43 = 42760.310123154
ed_time_1_44 = 8.490026e-12
ed_power_1_44 = 35390.3308752714
ed_time_1_45 = 8.53539099999999e-12
ed_power_1_45 = 46524.0998110741
ed_time_1_46 = 8.599435e-12
ed_power_1_46 = 74069.7846027187
ed_time_1_47 = 8.662145e-12
ed_power_1_47 = 82073.9484018429
ed_time_1_48 = 8.71284700000001e-12
ed_power_1_48 = 114739.975442898
ed_time_1_49 = 8.771554e-12
ed_power_1_49 = 110095.552853091
ed_time_1_50 = 8.835599e-12
ed_power_1_50 = 78617.9698658499
ed_time_1_51 = 8.871622999999999e-12
ed_power_1_51 = 61169.6618642018
ed_time_1_52 = 8.94901e-12
ed_power_1_52 = 68830.8587398316
ed_time_1_53 = 8.983701e-12
ed_power_1_53 = 91381.5603715159
ed_time_1_54 = 9.04908e-12
ed_power_1_54 = 146115.133687668
ed_time_1_55 = 9.079766999999989e-12
ed_power_1_55 = 199169.539514592
ed_time_1_56 = 9.141143e-12
ed_power_1_56 = 137344.267254368
ed_time_1_57 = 9.187842e-12
ed_power_1_57 = 128176.25565761
ed_time_1_58 = 9.246549e-12
ed_power_1_58 = 108366.988308832
ed_time_1_59 = 9.306591e-12
ed_power_1_59 = 88433.6402622977
ed_time_1_60 = 9.350621e-12
ed_power_1_60 = 104226.635563717
ed_time_1_61 = 9.42000299999999e-12
ed_power_1_61 = 80823.5534865684
ed_time_1_62 = 9.461365e-12
ed_power_1_62 = 70315.8385308375
ed_time_1_63 = 9.52941199999999e-12
ed_power_1_63 = 128990.028673934
ed_time_1_64 = 9.55876500000001e-12
ed_power_1_64 = 166145.000307051
ed_time_1_65 = 9.616139e-12
ed_power_1_65 = 180427.115601756
ed_time_1_66 = 9.650828999999999e-12
ed_power_1_66 = 175651.734566882
ed_time_1_67 = 9.713539e-12
ed_power_1_67 = 174703.704854921
ed_time_1_68 = 9.756235e-12
ed_power_1_68 = 177445.624926671
ed_time_1_69 = 9.813608e-12
ed_power_1_69 = 175162.084980491
ed_time_1_70 = 9.870981e-12
ed_power_1_70 = 133298.362087558
ed_time_1_71 = 9.91234300000001e-12
ed_power_1_71 = 151406.320202978
ed_time_1_72 = 9.976388e-12
ed_power_1_72 = 82200.9182648273
ed_time_1_73 = 1.000841e-11
ed_power_1_73 = 84378.8630571354
ed_time_1_74 = 1.0073788e-11
ed_power_1_74 = 189233.163374457
ed_time_1_75 = 1.0105810999999998e-11
ed_power_1_75 = 193800.908030497
ed_time_1_76 = 1.0167186e-11
ed_power_1_76 = 212855.694169688
ed_time_1_77 = 1.0219222e-11
ed_power_1_77 = 832787.865507328
ed_time_1_78 = 1.0268589999999999e-11
ed_power_1_78 = 702116.854027962
ed_time_1_79 = 1.0333968e-11
ed_power_1_79 = 2395105.39380165
ed_time_1_80 = 1.0373996e-11
ed_power_1_80 = 4952700.58481287
ed_time_1_81 = 1.0443377e-11
ed_power_1_81 = 3287052.85477805
ed_time_1_82 = 1.0484739e-11
ed_power_1_82 = 2637841.55064824
ed_time_1_83 = 1.0546115e-11
ed_power_1_83 = 1976970.64951131
ed_time_1_84 = 1.0580806e-11
ed_power_1_84 = 765938.104806861
ed_time_1_85 = 1.0646184e-11
ed_power_1_85 = 359311.4169723
ed_time_1_86 = 1.0686212e-11
ed_power_1_86 = 307347.121310137
ed_time_1_87 = 1.0740917e-11
ed_power_1_87 = 277499.999088605
ed_time_1_88 = 1.0800958e-11
ed_power_1_88 = 502604.11747937
ed_time_1_89 = 1.0834315e-11
ed_power_1_89 = 479412.379116968
ed_time_1_90 = 1.0903696e-11
ed_power_1_90 = 284303.267298822
ed_time_1_91 = 1.0945057999999999e-11
ed_power_1_91 = 325106.717689118
ed_time_1_92 = 1.1003765e-11
ed_power_1_92 = 368946.961979154
ed_time_1_93 = 1.1034452999999998e-11
ed_power_1_93 = 251954.15355855
ed_time_1_94 = 1.1099831999999999e-11
ed_power_1_94 = 203522.156416473
ed_time_1_95 = 1.1149199e-11
ed_power_1_95 = 182005.520257713
ed_time_1_96 = 1.1202569e-11
ed_power_1_96 = 161533.381248095
ed_time_1_97 = 1.1265278999999999e-11
ed_power_1_97 = 157865.828886851
ed_time_1_98 = 1.130931e-11
ed_power_1_98 = 292831.852938396
ed_time_1_99 = 1.138136e-11
ed_power_1_99 = 315895.726563628
ed_time_1_100 = 1.1421386999999999e-11
ed_power_1_100 = 377231.06799129
ed_time_1_101 = 1.1488099999999999e-11
ed_power_1_101 = 247002.328902157
ed_time_1_102 = 1.1522791e-11
ed_power_1_102 = 265091.290117016
ed_time_1_103 = 1.1580164e-11
ed_power_1_103 = 288713.820912246
ed_time_1_104 = 1.1625529e-11
ed_power_1_104 = 247438.822961938
ed_time_1_105 = 1.167623e-11
ed_power_1_105 = 189540.744415879
ed_time_1_106 = 1.1740275e-11
ed_power_1_106 = 182630.500388763
ed_time_1_107 = 1.1780302e-11
ed_power_1_107 = 289303.517432559
ed_time_1_108 = 1.1837675e-11
ed_power_1_108 = 388593.899150709
ed_time_1_109 = 1.1867029000000001e-11
ed_power_1_109 = 607419.426850044
ed_time_1_110 = 1.1931073e-11
ed_power_1_110 = 483717.542119192
ed_time_1_111 = 1.197377e-11
ed_power_1_111 = 492826.84996939
ed_time_1_112 = 1.2035145e-11
ed_power_1_112 = 279623.433259109
ed_time_1_113 = 1.208985e-11
ed_power_1_113 = 250320.98260245
ed_time_1_114 = 1.2135215e-11
ed_power_1_114 = 194097.827285197
ed_time_1_115 = 1.2197925e-11
ed_power_1_115 = 187411.91543243
ed_time_1_116 = 1.2228612999999998e-11
ed_power_1_116 = 173922.377419773
ed_time_1_117 = 1.2292657e-11
ed_power_1_117 = 196944.882289809
ed_time_1_118 = 1.2326013e-11
ed_power_1_118 = 125239.150742118
ed_time_1_119 = 1.2386055000000001e-11
ed_power_1_119 = 151863.345233354
ed_time_1_120 = 1.2434087999999999e-11
ed_power_1_120 = 136650.484082382
ed_time_1_121 = 1.2487458e-11
ed_power_1_121 = 160549.607704388
ed_time_1_122 = 1.2551503e-11
ed_power_1_122 = 92183.8022947665
ed_time_1_123 = 1.2586193e-11
ed_power_1_123 = 82961.4334832066
ed_time_1_124 = 1.2648903e-11
ed_power_1_124 = 94905.5237777618
ed_time_1_125 = 1.2676923e-11
ed_power_1_125 = 108286.372928649
ed_time_1_126 = 1.2746304e-11
ed_power_1_126 = 260819.595409324
ed_time_1_127 = 1.2783663e-11
ed_power_1_127 = 489303.9092765
ed_time_1_128 = 1.284237e-11
ed_power_1_128 = 418858.518531456
ed_time_1_129 = 1.2899743e-11
ed_power_1_129 = 364147.0613916
ed_time_1_130 = 1.2941105e-11
ed_power_1_130 = 235877.841090049
ed_time_1_131 = 1.3007818e-11
ed_power_1_131 = 79931.5173307763
ed_time_1_132 = 1.3250653e-11
ed_power_1_132 = 279261.13705321
ed_time_1_133 = 1.3488151e-11
ed_power_1_133 = 64011.1686488648
ed_time_1_134 = 1.3728317e-11
ed_power_1_134 = 123570.363793441
ed_time_1_135 = 1.39458e-11
ed_power_1_135 = 101366.847777838
ed_time_1_136 = 1.4181964000000001e-11
ed_power_1_136 = 231179.981727459
ed_time_1_137 = 1.4411455999999999e-11
ed_power_1_137 = 160022.603512717
ed_time_1_138 = 1.4640948e-11
ed_power_1_138 = 438485.359385592
ed_time_1_139 = 1.4877110999999998e-11
ed_power_1_139 = 160191.990412087
ed_time_1_140 = 1.5109272e-11
ed_power_1_140 = 148643.971431968
ed_time_1_141 = 1.533743e-11
ed_power_1_141 = 137361.602245729
ed_time_1_142 = 1.5556248e-11
ed_power_1_142 = 462229.567502197
ed_time_1_143 = 1.5799083e-11
ed_power_1_143 = 242441.640968265
ed_time_1_144 = 1.6028575e-11
ed_power_1_144 = 443357.795917827
ed_time_1_145 = 1.6259401e-11
ed_power_1_145 = 178985.933510165
ed_time_1_146 = 1.6479552999999998e-11
ed_power_1_146 = 192755.925092512
ed_time_1_147 = 1.6697037e-11
ed_power_1_147 = 89685.4925441026
ed_time_1_148 = 1.6923860999999997e-11
ed_power_1_148 = 276669.990497775
ed_time_1_149 = 1.7148016e-11
ed_power_1_149 = 131241.097471102
ed_time_1_150 = 1.7385513e-11
ed_power_1_150 = 202940.564899496
ed_time_1_151 = 1.7609668e-11
ed_power_1_151 = 69547.9597763044
ed_time_1_152 = 1.7833824e-11
ed_power_1_152 = 230742.362682989
ed_time_1_153 = 1.806465e-11
ed_power_1_153 = 351119.150619415
ed_time_1_154 = 1.8300813e-11
ed_power_1_154 = 261092.608739358
ed_time_1_155 = 1.8519631e-11
ed_power_1_155 = 295220.144299929
ed_time_1_156 = 1.8743786e-11
ed_power_1_156 = 351619.998917039
ed_time_1_157 = 1.8974613e-11
ed_power_1_157 = 134303.766018717
ed_time_1_158 = 1.9208107999999997e-11
ed_power_1_158 = 144241.497254047
ed_time_1_159 = 1.94376e-11
ed_power_1_159 = 231731.096386466
ed_time_1_160 = 1.9667092e-11
ed_power_1_160 = 215935.058512817
ed_time_1_161 = 1.9897918e-11
ed_power_1_161 = 495768.429255809
ed_time_1_162 = 2.0140753e-11
ed_power_1_162 = 378934.601626192
ed_time_1_163 = 2.0362238999999998e-11
ed_power_1_163 = 197695.988545325
ed_time_1_164 = 2.0587728999999998e-11
ed_power_1_164 = 231086.838108681
ed_time_1_165 = 2.0826561000000003e-11
ed_power_1_165 = 110805.673870918
ed_time_1_166 = 2.1060055e-11
ed_power_1_166 = 352222.300379449
ed_time_1_167 = 2.1294885e-11
ed_power_1_167 = 150542.280825271
ed_time_1_168 = 2.1523042e-11
ed_power_1_168 = 291887.044773502
ed_time_1_169 = 2.1748532e-11
ed_power_1_169 = 69504.545594398
ed_time_1_170 = 2.1980692e-11
ed_power_1_170 = 276364.17363689
ed_time_1_171 = 2.2219524e-11
ed_power_1_171 = 79912.5715658807
ed_time_1_172 = 2.2447682e-11
ed_power_1_172 = 137120.139622688
ed_time_1_173 = 2.2683846e-11
ed_power_1_173 = 287714.067472372
ed_time_1_174 = 2.2921343e-11
ed_power_1_174 = 143240.439854644
ed_time_1_175 = 2.3154838e-11
ed_power_1_175 = 128026.658261652
ed_time_1_176 = 2.3396338e-11
ed_power_1_176 = 65232.8253188726
ed_time_1_177 = 2.3625831e-11
ed_power_1_177 = 134151.202754031
ed_time_1_178 = 2.3853988000000002e-11
ed_power_1_178 = 276649.561798516
ed_time_1_179 = 2.4082146e-11
ed_power_1_179 = 214972.889788728
ed_time_1_180 = 2.4319644e-11
ed_power_1_180 = 159611.932965143
ed_time_1_181 = 2.4558476e-11
ed_power_1_181 = 117215.095168244
ed_time_1_182 = 2.480131e-11
ed_power_1_182 = 185234.251886294
ed_time_1_183 = 2.5029468e-11
ed_power_1_183 = 648390.781205346
ed_time_1_184 = 2.5253623e-11
ed_power_1_184 = 216773.14653915
ed_time_1_185 = 2.5496458e-11
ed_power_1_185 = 247172.764082717
ed_time_1_186 = 2.5731286999999998e-11
ed_power_1_186 = 298794.962127737
ed_time_1_187 = 2.5974122e-11
ed_power_1_187 = 265495.87552013
ed_time_1_188 = 2.6200945e-11
ed_power_1_188 = 245195.015429588
ed_time_1_189 = 2.6437109e-11
ed_power_1_189 = 189606.453748918
ed_time_1_190 = 2.6670604e-11
ed_power_1_190 = 134292.74628232
ed_time_1_191 = 2.6898761e-11
ed_power_1_191 = 211374.907503436
ed_time_1_192 = 2.7122916e-11
ed_power_1_192 = 79627.0044294181
ed_time_1_193 = 2.7355077e-11
ed_power_1_193 = 116955.965172001
ed_time_1_194 = 2.7596577e-11
ed_power_1_194 = 284988.306271625
ed_time_1_195 = 2.7823401e-11
ed_power_1_195 = 215392.969299165
ed_time_1_196 = 2.8050225e-11
ed_power_1_196 = 128813.917434257
ed_time_1_197 = 2.827438e-11
ed_power_1_197 = 308972.77532308
ed_time_1_198 = 2.8505206000000002e-11
ed_power_1_198 = 228426.735105306
ed_time_1_199 = 2.8738701e-11
ed_power_1_199 = 325772.580786521
ed_time_1_200 = 2.8961522e-11
ed_power_1_200 = 287812.426929259
ed_time_1_201 = 2.9196351e-11
ed_power_1_201 = 302620.165752606
ed_time_1_202 = 2.9439186e-11
ed_power_1_202 = 733585.539409016
ed_time_1_203 = 2.9667343e-11
ed_power_1_203 = 137672.14915588
ed_time_1_204 = 2.9904841e-11
ed_power_1_204 = 64296.3778356532
ed_time_1_205 = 3.0019587e-11
ed_power_1_205 = 363460.002559921
ed_time_1_206 = 3.0064952e-11
ed_power_1_206 = 637914.668092275
ed_time_1_207 = 3.0131665e-11
ed_power_1_207 = 975134.73513614
ed_time_1_208 = 3.0173027e-11
ed_power_1_208 = 1315577.72991032
ed_time_1_209 = 3.02304e-11
ed_power_1_209 = 821414.679375193
ed_time_1_210 = 3.0258419e-11
ed_power_1_210 = 489019.109175053
ed_time_1_211 = 3.0318461e-11
ed_power_1_211 = 390119.148280055
ed_time_1_212 = 3.0369162e-11
ed_power_1_212 = 427361.970990339
ed_time_1_213 = 3.0415861e-11
ed_power_1_213 = 354246.710329384
ed_time_1_214 = 3.0473234e-11
ed_power_1_214 = 336684.574331359
ed_time_1_215 = 3.0502588e-11
ed_power_1_215 = 548419.272392974
ed_time_1_216 = 3.0577306e-11
ed_power_1_216 = 471828.576074454
ed_time_1_217 = 3.060666e-11
ed_power_1_217 = 918327.789468206
ed_time_1_218 = 3.0670704e-11
ed_power_1_218 = 898989.762865435
ed_time_1_219 = 3.0721406e-11
ed_power_1_219 = 571300.872930568
ed_time_1_220 = 3.0762768e-11
ed_power_1_220 = 673381.52349431
ed_time_1_221 = 3.0829481e-11
ed_power_1_221 = 318124.93486284
ed_time_1_222 = 3.0858834e-11
ed_power_1_222 = 300751.821860596
ed_time_1_223 = 3.0916206999999996e-11
ed_power_1_223 = 290190.644564248
ed_time_1_224 = 3.0957569e-11
ed_power_1_224 = 316934.649924988
ed_time_1_225 = 3.1013608e-11
ed_power_1_225 = 256379.715490455
ed_time_1_226 = 3.1070981e-11
ed_power_1_226 = 187572.788243123
ed_time_1_227 = 3.1105672e-11
ed_power_1_227 = 350974.232137055
ed_time_1_228 = 3.1165713e-11
ed_power_1_228 = 371304.035015535
ed_time_1_229 = 3.119907e-11
ed_power_1_229 = 479952.397336076
ed_time_1_230 = 3.1264448e-11
ed_power_1_230 = 327816.013204853
ed_time_1_231 = 3.1312482e-11
ed_power_1_231 = 237607.172669324
ed_time_1_232 = 3.1367186e-11
ed_power_1_232 = 267428.778192655
ed_time_1_233 = 3.1425892999999996e-11
ed_power_1_233 = 201307.08712939
ed_time_1_234 = 3.1453913e-11
ed_power_1_234 = 223214.220814804
ed_time_1_235 = 3.1511285999999996e-11
ed_power_1_235 = 166065.688886395
ed_time_1_236 = 3.1548645e-11
ed_power_1_236 = 171032.547429101
ed_time_1_237 = 3.1612688999999996e-11
ed_power_1_237 = 501160.327468724
ed_time_1_238 = 3.1663391e-11
ed_power_1_238 = 208662.56941547
ed_time_1_239 = 3.1716761e-11
ed_power_1_239 = 125504.647128994
ed_time_1_240 = 3.178214e-11
ed_power_1_240 = 260817.933500123
ed_time_1_241 = 3.1818165e-11
ed_power_1_241 = 318981.559568727
ed_time_1_242 = 3.188888e-11
ed_power_1_242 = 430472.579226454
ed_time_1_243 = 3.19169e-11
ed_power_1_243 = 421632.98645572
ed_time_1_244 = 3.1980944e-11
ed_power_1_244 = 568248.610491338
ed_time_1_245 = 3.2015635000000003e-11
ed_power_1_245 = 712966.743304337
ed_time_1_246 = 3.2079678999999996e-11
ed_power_1_246 = 991598.067905892
ed_time_1_247 = 3.2121040999999995e-11
ed_power_1_247 = 320502.206487977
ed_time_1_248 = 3.2187753999999997e-11
ed_power_1_248 = 1047909.8157675
ed_time_1_249 = 3.2243792e-11
ed_power_1_249 = 703536.917088779
ed_time_1_250 = 3.2285154e-11
ed_power_1_250 = 971068.708084085
ed_time_1_251 = 3.2358539e-11
ed_power_1_251 = 1188718.98473188
ed_time_1_252 = 3.2387892e-11
ed_power_1_252 = 1328879.36991188
ed_time_1_253 = 3.2459941999999996e-11
ed_power_1_253 = 1002084.71496652
ed_time_1_254 = 3.2493298e-11
ed_power_1_254 = 1095586.1300118
ed_time_1_255 = 3.2560011e-11
ed_power_1_255 = 888867.457437417
ed_time_1_256 = 3.2594701999999994e-11
ed_power_1_256 = 802664.022619852
ed_time_1_257 = 3.2662749e-11
ed_power_1_257 = 333363.926340026
ed_time_1_258 = 3.2706779e-11
ed_power_1_258 = 993440.179200356
ed_time_1_259 = 3.2764152000000004e-11
ed_power_1_259 = 296704.612734258
ed_time_1_260 = 3.2824194e-11
ed_power_1_260 = 1434791.59049112
ed_time_1_261 = 3.2862887e-11
ed_power_1_261 = 496272.652507504
ed_time_1_262 = 3.2930935e-11
ed_power_1_262 = 680039.668679497
ed_time_1_263 = 3.2972296e-11
ed_power_1_263 = 498639.799270429
ed_time_1_264 = 3.3043012e-11
ed_power_1_264 = 179935.855241833
ed_time_1_265 = 3.3076368e-11
ed_power_1_265 = 190141.230562084
ed_time_1_266 = 3.3140413e-11
ed_power_1_266 = 271252.115365651
ed_time_1_267 = 3.3176437999999994e-11
ed_power_1_267 = 238019.402854764
ed_time_1_268 = 3.3236479e-11
ed_power_1_268 = 742202.640889439
ed_time_1_269 = 3.3299188999999995e-11
ed_power_1_269 = 1316276.93346308
ed_time_1_270 = 3.3331211000000004e-11
ed_power_1_270 = 601129.893125721
ed_time_1_271 = 3.3400593e-11
ed_power_1_271 = 918466.213720762
ed_time_1_272 = 3.3433949e-11
ed_power_1_272 = 702881.562371095
ed_time_1_273 = 3.3507333e-11
ed_power_1_273 = 477582.565950595
ed_time_1_274 = 3.3539355e-11
ed_power_1_274 = 424230.167019949
ed_time_1_275 = 3.3598063000000005e-11
ed_power_1_275 = 196597.415427554
ed_time_1_276 = 3.3642093e-11
ed_power_1_276 = 265474.551946685
ed_time_1_277 = 3.3696798000000004e-11
ed_power_1_277 = 322060.080173338
ed_time_1_278 = 3.376351e-11
ed_power_1_278 = 439373.53479847
ed_time_1_279 = 3.3806207e-11
ed_power_1_279 = 777221.241028116
ed_time_1_280 = 3.3875588e-11
ed_power_1_280 = 675887.247916797
ed_time_1_281 = 3.3903607e-11
ed_power_1_281 = 489330.678798559
ed_time_1_282 = 3.397032e-11
ed_power_1_282 = 274894.662385373
ed_time_1_283 = 3.4009014e-11
ed_power_1_283 = 231708.519989162
ed_time_1_284 = 3.4077060999999997e-11
ed_power_1_284 = 277886.124515668
ed_time_1_285 = 3.4145108e-11
ed_power_1_285 = 275660.188899191
ed_time_1_286 = 3.4214489e-11
ed_power_1_286 = 222021.583636234
ed_time_1_287 = 3.4245177e-11
ed_power_1_287 = 217682.338711466
ed_time_1_288 = 3.4306553e-11
ed_power_1_288 = 168717.610182933
ed_time_1_289 = 3.4338575e-11
ed_power_1_289 = 265494.75053544
ed_time_1_290 = 3.4410625e-11
ed_power_1_290 = 418004.425041123
ed_time_1_291 = 3.4453321e-11
ed_power_1_291 = 747771.23840221
ed_time_1_292 = 3.4521368e-11
ed_power_1_292 = 691418.070649741
ed_time_1_293 = 3.4568067e-11
ed_power_1_293 = 519724.875961345
ed_time_1_294 = 3.4618769e-11
ed_power_1_294 = 223240.453412351
ed_time_1_295 = 3.4676142e-11
ed_power_1_295 = 225771.464422532
ed_time_1_296 = 3.4706829999999995e-11
ed_power_1_296 = 132670.313816444
ed_time_1_297 = 3.4780214e-11
ed_power_1_297 = 104180.741301925
ed_time_1_298 = 3.4817573000000004e-11
ed_power_1_298 = 176003.547960894
ed_time_1_299 = 3.4889623e-11
ed_power_1_299 = 351722.704905684
ed_time_1_300 = 3.4924314e-11
ed_power_1_300 = 751172.015984883
ed_time_1_301 = 3.4988357999999996e-11
ed_power_1_301 = 633310.284730304
ed_time_1_302 = 3.5143132e-11
ed_power_1_302 = 263831.409535377
ed_time_1_303 = 3.5376626e-11
ed_power_1_303 = 239645.644927886
ed_time_1_304 = 3.5606118999999996e-11
ed_power_1_304 = 976573.411580013
ed_time_1_305 = 3.5830274000000004e-11
ed_power_1_305 = 678697.792054646
ed_time_1_306 = 3.6066437e-11
ed_power_1_306 = 1732098.17230595
ed_time_1_307 = 3.6294595e-11
ed_power_1_307 = 295162.770080732
ed_time_1_308 = 3.6532091999999995e-11
ed_power_1_308 = 556729.994520167
ed_time_1_309 = 3.6761584999999995e-11
ed_power_1_309 = 534663.291983587
ed_time_1_310 = 3.6985739999999996e-11
ed_power_1_310 = 168154.043988832
ed_time_1_311 = 3.7213897e-11
ed_power_1_311 = 94610.7522211071
ed_time_1_312 = 3.7450061e-11
ed_power_1_312 = 305234.221087186
ed_time_1_313 = 3.7683556000000004e-11
ed_power_1_313 = 278890.838115312
ed_time_1_314 = 3.7913048e-11
ed_power_1_314 = 807598.512284883
ed_time_1_315 = 3.8147877e-11
ed_power_1_315 = 426495.528236248
ed_time_1_316 = 3.8376035e-11
ed_power_1_316 = 1296522.17673611
ed_time_1_317 = 3.8598856e-11
ed_power_1_317 = 1264946.28542765
ed_time_1_318 = 3.8832349999999996e-11
ed_power_1_318 = 813701.963314321
ed_time_1_319 = 3.9069848e-11
ed_power_1_319 = 2548613.0831345
ed_time_1_320 = 3.9311349e-11
ed_power_1_320 = 2453210.95531954
ed_time_1_321 = 3.9539506e-11
ed_power_1_321 = 399562.806693736
ed_time_1_322 = 3.9770333e-11
ed_power_1_322 = 2107614.61022244
ed_time_1_323 = 3.9993153999999994e-11
ed_power_1_323 = 2322033.36834776
ed_time_1_324 = 4.0223979999999995e-11
ed_power_1_324 = 1316971.58594142
ed_time_1_325 = 4.0452138e-11
ed_power_1_325 = 2166148.15171143
ed_time_1_326 = 4.0674959e-11
ed_power_1_326 = 1317989.10902583
ed_time_1_327 = 4.0907119e-11
ed_power_1_327 = 1790354.50734016
ed_time_1_328 = 4.1136611e-11
ed_power_1_328 = 6063832.23906209
ed_time_1_329 = 4.1366103e-11
ed_power_1_329 = 3007553.8090307
ed_time_1_330 = 4.1595595e-11
ed_power_1_330 = 1775759.90197992
ed_time_1_331 = 4.1821085e-11
ed_power_1_331 = 800697.472677958
ed_time_1_332 = 4.2061251e-11
ed_power_1_332 = 1121137.62603313
ed_time_1_333 = 4.2292077e-11
ed_power_1_333 = 1835668.45600646
ed_time_1_334 = 4.2528241e-11
ed_power_1_334 = 6636241.98894748
ed_time_1_335 = 4.2757733e-11
ed_power_1_335 = 3925066.70049789
ed_time_1_336 = 4.2993896e-11
ed_power_1_336 = 1664231.80896309
ed_time_1_337 = 4.3226056999999994e-11
ed_power_1_337 = 1574866.83478434
ed_time_1_338 = 4.3467557e-11
ed_power_1_338 = 1001322.92135645
ed_time_1_339 = 4.3703721e-11
ed_power_1_339 = 4617990.99780858
ed_time_1_340 = 4.392921e-11
ed_power_1_340 = 12312012.9068383
ed_time_1_341 = 4.4168042e-11
ed_power_1_341 = 3135662.5656069
ed_time_1_342 = 4.4397534e-11
ed_power_1_342 = 3395479.54397896
ed_time_1_343 = 4.4632363e-11
ed_power_1_343 = 7908136.40993204
ed_time_1_344 = 4.4859186999999997e-11
ed_power_1_344 = 3577253.52193317
ed_time_1_345 = 4.5001952e-11
ed_power_1_345 = 2256648.97690973
ed_time_1_346 = 4.5067331e-11
ed_power_1_346 = 3233046.27725007
ed_time_1_347 = 4.5096684e-11
ed_power_1_347 = 4649160.97418657
ed_time_1_348 = 4.5168734e-11
ed_power_1_348 = 5515103.36576881
ed_time_1_349 = 4.5210096e-11
ed_power_1_349 = 4672287.43786911
ed_time_1_350 = 4.5267468999999995e-11
ed_power_1_350 = 2135215.1891534
ed_time_1_351 = 4.5324841999999995e-11
ed_power_1_351 = 6063217.69060726
ed_time_1_352 = 4.5366204e-11
ed_power_1_352 = 4625215.87959927
ed_time_1_353 = 4.5439588e-11
ed_power_1_353 = 5298151.44893527
ed_time_1_354 = 4.547161e-11
ed_power_1_354 = 4517754.45283034
ed_time_1_355 = 4.5539656999999994e-11
ed_power_1_355 = 2025773.68705846
ed_time_1_356 = 4.5574348e-11
ed_power_1_356 = 2366758.82218195
ed_time_1_357 = 4.5645064e-11
ed_power_1_357 = 1713932.60986082
ed_time_1_358 = 4.5674417e-11
ed_power_1_358 = 3259571.77990258
ed_time_1_359 = 4.5739796e-11
ed_power_1_359 = 2203704.41049709
ed_time_1_360 = 4.5791831999999995e-11
ed_power_1_360 = 5243500.1529085
ed_time_1_361 = 4.5846536e-11
ed_power_1_361 = 3552536.02308474
ed_time_1_362 = 4.5907912e-11
ed_power_1_362 = 88606734.4975786
ed_time_1_363 = 4.594794e-11
ed_power_1_363 = 567869797.464762
ed_time_1_364 = 4.601999e-11
ed_power_1_364 = 2371259527.97759
ed_time_1_365 = 4.6049343e-11
ed_power_1_365 = 3911295916.31269
ed_time_1_366 = 4.6121392999999994e-11
ed_power_1_366 = 8439082215.57484
ed_time_1_367 = 4.6157418e-11
ed_power_1_367 = 9517626617.27914
ed_time_1_368 = 4.6222797e-11
ed_power_1_368 = 6498015196.77152
ed_time_1_369 = 4.6265493e-11
ed_power_1_369 = 3194755838.11492
ed_time_1_370 = 4.6318863e-11
ed_power_1_370 = 2992015315.94759
ed_time_1_371 = 4.6374901999999997e-11
ed_power_1_371 = 1414845458.52765
ed_time_1_372 = 4.6418932e-11
ed_power_1_372 = 311165626.162532
ed_time_1_373 = 4.6486979e-11
ed_power_1_373 = 83727369.0823657
ed_time_1_374 = 4.6528341e-11
ed_power_1_374 = 149560476.004771
ed_time_1_375 = 4.6596387999999995e-11
ed_power_1_375 = 118679032.631977
ed_time_1_376 = 4.6631079e-11
ed_power_1_376 = 63864000.1971253
ed_time_1_377 = 4.6689785999999995e-11
ed_power_1_377 = 65284523.478952
ed_time_1_378 = 4.6723143e-11
ed_power_1_378 = 52684771.6527068
ed_time_1_379 = 4.6783183999999995e-11
ed_power_1_379 = 21673477.0498907
ed_time_1_380 = 4.684456e-11
ed_power_1_380 = 23700588.8806702
ed_time_1_381 = 4.6895262e-11
ed_power_1_381 = 23310634.4403759
ed_time_1_382 = 4.6957972e-11
ed_power_1_382 = 39148521.2075745
ed_time_1_383 = 4.6987325e-11
ed_power_1_383 = 41039415.9290557
ed_time_1_384 = 4.7056707e-11
ed_power_1_384 = 35508224.157233
ed_time_1_385 = 4.7088729e-11
ed_power_1_385 = 49933749.4320997
ed_time_1_386 = 4.7155442e-11
ed_power_1_386 = 74839171.8594498
ed_time_1_387 = 4.7194135e-11
ed_power_1_387 = 60648538.2743209
ed_time_1_388 = 4.7260848000000005e-11
ed_power_1_388 = 66165616.6018489
ed_time_1_389 = 4.7315553e-11
ed_power_1_389 = 67706462.1098546
ed_time_1_390 = 4.7359583e-11
ed_power_1_390 = 98056887.141061
ed_time_1_391 = 4.7423627e-11
ed_power_1_391 = 100450189.798032
ed_time_1_392 = 4.7458317999999995e-11
ed_power_1_392 = 89514801.6852054
ed_time_1_393 = 4.7525031e-11
ed_power_1_393 = 106485681.525051
ed_time_1_394 = 4.756239e-11
ed_power_1_394 = 92238466.3235745
ed_time_1_395 = 4.763444e-11
ed_power_1_395 = 33614516.9740263
ed_time_1_396 = 4.7669130000000004e-11
ed_power_1_396 = 30408949.8029285
ed_time_1_397 = 4.7737178e-11
ed_power_1_397 = 28274751.5743672
ed_time_1_398 = 4.7770534e-11
ed_power_1_398 = 33716967.2843321
ed_time_1_399 = 4.7843918e-11
ed_power_1_399 = 18368228.3092165
ed_time_1_400 = 4.7887949e-11
ed_power_1_400 = 21913034.588063
ed_time_1_401 = 4.7947989999999996e-11
ed_power_1_401 = 16347123.3853256
ed_time_1_402 = 4.8002695e-11
ed_power_1_402 = 12498559.6834762
ed_time_1_403 = 4.8046725e-11
ed_power_1_403 = 41542411.9247248
ed_time_1_404 = 4.8110768999999994e-11
ed_power_1_404 = 29473422.7617283
ed_time_1_405 = 4.8176147999999995e-11
ed_power_1_405 = 67071178.1417567
ed_time_1_406 = 4.8225515e-11
ed_power_1_406 = 83759763.5278754
ed_time_1_407 = 4.828022e-11
ed_power_1_407 = 29910965.1026974
ed_time_1_408 = 4.8345598e-11
ed_power_1_408 = 59680693.4911126
ed_time_1_409 = 4.8394966e-11
ed_power_1_409 = 57552938.3566858
ed_time_1_410 = 4.846835e-11
ed_power_1_410 = 36977684.2730815
ed_time_1_411 = 4.8512380999999994e-11
ed_power_1_411 = 44136856.7307292
ed_time_1_412 = 4.8583096e-11
ed_power_1_412 = 38710646.4847651
ed_time_1_413 = 4.8645806e-11
ed_power_1_413 = 23700765.4265631
ed_time_1_414 = 4.8700510999999995e-11
ed_power_1_414 = 36681122.968056
ed_time_1_415 = 4.8765889e-11
ed_power_1_415 = 76640860.4085685
ed_time_1_416 = 4.8820594e-11
ed_power_1_416 = 70732338.5445338
ed_time_1_417 = 4.886329e-11
ed_power_1_417 = 94527707.8967064
ed_time_1_418 = 4.8934006e-11
ed_power_1_418 = 65282196.8060701
ed_time_1_419 = 4.8963359e-11
ed_power_1_419 = 51659066.8614571
ed_time_1_420 = 4.9168835e-11
ed_power_1_420 = 20128796.4690762
ed_time_1_421 = 4.9406331999999996e-11
ed_power_1_421 = 47183213.0003361
ed_time_1_422 = 4.963982699999999e-11
ed_power_1_422 = 12711798.0258475
ed_time_1_423 = 4.9873322e-11
ed_power_1_423 = 22264106.0546723
ed_time_1_424 = 5.0108151e-11
ed_power_1_424 = 10134018.0271436
ed_time_1_425 = 5.0338977999999996e-11
ed_power_1_425 = 45093426.0992021
ed_time_1_426 = 5.0575141e-11
ed_power_1_426 = 13027999.4414328
ed_time_1_427 = 5.0797961999999995e-11
ed_power_1_427 = 20253992.0522294
ed_time_1_428 = 5.1034125e-11
ed_power_1_428 = 31399013.0337674
ed_time_1_429 = 5.1268954e-11
ed_power_1_429 = 10357554.8373183
ed_time_1_430 = 5.1506452e-11
ed_power_1_430 = 13733389.106035
ed_time_1_431 = 5.1735944000000005e-11
ed_power_1_431 = 46444072.4910698
ed_time_1_432 = 5.1973442e-11
ed_power_1_432 = 13671911.5051796
ed_time_1_433 = 5.2206935999999995e-11
ed_power_1_433 = 15022308.943049
ed_time_1_434 = 5.2431092e-11
ed_power_1_434 = 39972674.7644492
ed_time_1_435 = 5.2673926e-11
ed_power_1_435 = 16499541.0667651
ed_time_1_436 = 5.2903418e-11
ed_power_1_436 = 10405525.9742549
ed_time_1_437 = 5.3131576e-11
ed_power_1_437 = 83107349.1110865
ed_time_1_438 = 5.3361068e-11
ed_power_1_438 = 24634759.0880628
ed_time_1_439 = 5.3597232e-11
ed_power_1_439 = 45642009.5426563
ed_time_1_440 = 5.3834729e-11
ed_power_1_440 = 27025149.2619425
ed_time_1_441 = 5.4061553000000003e-11
ed_power_1_441 = 30631083.1435666
ed_time_1_442 = 5.429905e-11
ed_power_1_442 = 100136523.61215
ed_time_1_443 = 5.4535214e-11
ed_power_1_443 = 26606527.1180352
ed_time_1_444 = 5.476604e-11
ed_power_1_444 = 47264595.4155354
ed_time_1_445 = 5.4992863999999995e-11
ed_power_1_445 = 83869014.8819899
ed_time_1_446 = 5.5222355999999994e-11
ed_power_1_446 = 38973765.0630923
ed_time_1_447 = 5.5457185e-11
ed_power_1_447 = 61587082.3199174
ed_time_1_448 = 5.568134e-11
ed_power_1_448 = 18935179.9913349
ed_time_1_449 = 5.5918838e-11
ed_power_1_449 = 102571450.702656
ed_time_1_450 = 5.613899e-11
ed_power_1_450 = 65908429.760979
ed_time_1_451 = 5.6363145e-11
ed_power_1_451 = 39831847.1355087
ed_time_1_452 = 5.6599308e-11
ed_power_1_452 = 85385136.294646
ed_time_1_453 = 5.6842143e-11
ed_power_1_453 = 85006604.5142424
ed_time_1_454 = 5.7071635e-11
ed_power_1_454 = 48719047.2129038
ed_time_1_455 = 5.730513e-11
ed_power_1_455 = 16281706.6761456
ed_time_1_456 = 5.7541293e-11
ed_power_1_456 = 11651458.6888916
ed_time_1_457 = 5.7776123e-11
ed_power_1_457 = 53454491.2912782
ed_time_1_458 = 5.8016289e-11
ed_power_1_458 = 2569358.4911525
ed_time_1_459 = 5.8253786e-11
ed_power_1_459 = 1816708.85891276
ed_time_1_460 = 5.8493953e-11
ed_power_1_460 = 108985857.727587
ed_time_1_461 = 5.8727447e-11
ed_power_1_461 = 46980102.1280952
ed_time_1_462 = 5.8970282e-11
ed_power_1_462 = 98603552.9969754
ed_time_1_463 = 5.9206445e-11
ed_power_1_463 = 40785604.0422562
ed_time_1_464 = 5.9438606e-11
ed_power_1_464 = 100887271.917991
ed_time_1_465 = 5.967210099999999e-11
ed_power_1_465 = 53164424.2160551
ed_time_1_466 = 5.9901593e-11
ed_power_1_466 = 14292902.0314324
ed_time_1_467 = 6.0136422e-11
ed_power_1_467 = 58553740.0777489
ed_time_1_468 = 6.0352572e-11
ed_power_1_468 = 17459762.6213311
ed_time_1_469 = 6.0576727e-11
ed_power_1_469 = 49500962.7082299
ed_time_1_470 = 6.080888699999999e-11
ed_power_1_470 = 171405735.532227
ed_time_1_471 = 6.1046385e-11
ed_power_1_471 = 107057736.239995
ed_time_1_472 = 6.1290554e-11
ed_power_1_472 = 334141878.821102
ed_time_1_473 = 6.1529386e-11
ed_power_1_473 = 32953767.4433968
ed_time_1_474 = 6.1758878e-11
ed_power_1_474 = 32876296.9067792
ed_time_1_475 = 6.1976362e-11
ed_power_1_475 = 36426441.774905
ed_time_1_476 = 6.2208522e-11
ed_power_1_476 = 111153421.979345
ed_time_1_477 = 6.2434012e-11
ed_power_1_477 = 99040609.5491007
ed_time_1_478 = 6.2666172e-11
ed_power_1_478 = 98779561.9653169
ed_time_1_479 = 6.2888993e-11
ed_power_1_479 = 216525394.228977
ed_time_1_480 = 6.3107811e-11
ed_power_1_480 = 70935705.0951134
ed_time_1_481 = 6.3334635e-11
ed_power_1_481 = 38722714.5023504
ed_time_1_482 = 6.3561458e-11
ed_power_1_482 = 81003781.1474981
ed_time_1_483 = 6.3804293e-11
ed_power_1_483 = 53727632.4604813
ed_time_1_484 = 6.4039122e-11
ed_power_1_484 = 19497265.7822866
ed_time_1_485 = 6.4260609e-11
ed_power_1_485 = 61878683.4651725
ed_time_1_486 = 6.449677200000001e-11
ed_power_1_486 = 193532317.935722
ed_time_1_487 = 6.4732935e-11
ed_power_1_487 = 198979033.584448
ed_time_1_488 = 6.4969099e-11
ed_power_1_488 = 89967582.4551593
ed_time_1_489 = 6.5206596e-11
ed_power_1_489 = 140458173.741052
ed_time_1_490 = 6.543742299999999e-11
ed_power_1_490 = 59093195.8045126
ed_time_1_491 = 6.567492e-11
ed_power_1_491 = 76603761.4816272
ed_time_1_492 = 6.590708100000001e-11
ed_power_1_492 = 56875441.8948732
ed_time_1_493 = 6.6140576e-11
ed_power_1_493 = 22859414.2287299
ed_time_1_494 = 6.6376739e-11
ed_power_1_494 = 17587081.8431975
ed_time_1_495 = 6.6616905e-11
ed_power_1_495 = 172661397.421277
ed_time_1_496 = 6.6849066e-11
ed_power_1_496 = 66399715.6887369
ed_time_1_497 = 6.7083895e-11
ed_power_1_497 = 76587321.3644506
ed_time_1_498 = 6.7312053e-11
ed_power_1_498 = 386177150.790081
ed_time_1_499 = 6.754554799999999e-11
ed_power_1_499 = 331265753.189383
ed_time_1_500 = 6.778437999999999e-11
ed_power_1_500 = 115858593.742421
ed_time_1_501 = 6.802588e-11
ed_power_1_501 = 375962187.532129
ed_time_1_502 = 6.8255372e-11
ed_power_1_502 = 145018759.403609
ed_time_1_503 = 6.8480862e-11
ed_power_1_503 = 198968729.747399
ed_time_1_504 = 6.872503e-11
ed_power_1_504 = 510929643.382371
ed_time_1_505 = 6.895719099999999e-11
ed_power_1_505 = 79954272.7029181
ed_time_1_506 = 6.9197357e-11
ed_power_1_506 = 131196072.515663
ed_time_1_507 = 6.9428184e-11
ed_power_1_507 = 93417884.9320337
ed_time_1_508 = 6.966835000000001e-11
ed_power_1_508 = 70376178.618764
ed_time_1_509 = 6.9896508e-11
ed_power_1_509 = 111633227.949697
ed_time_1_510 = 7.0132671e-11
ed_power_1_510 = 116510343.395529
ed_time_1_511 = 7.036883400000001e-11
ed_power_1_511 = 86897550.3713914
ed_time_1_512 = 7.0587652e-11
ed_power_1_512 = 236432586.381466
ed_time_1_513 = 7.0831821e-11
ed_power_1_513 = 191351560.681689
ed_time_1_514 = 7.1069319e-11
ed_power_1_514 = 260590533.185708
ed_time_1_515 = 7.130414799999999e-11
ed_power_1_515 = 433803607.758338
ed_time_1_516 = 7.1541646e-11
ed_power_1_516 = 173408387.255541
ed_time_1_517 = 7.1775141e-11
ed_power_1_517 = 53398037.5140995
ed_time_1_518 = 7.2011304e-11
ed_power_1_518 = 70603553.3653449
ed_time_1_519 = 7.224613299999999e-11
ed_power_1_519 = 123533699.519675
ed_time_1_520 = 7.2482296e-11
ed_power_1_520 = 87173350.5953167
ed_time_1_521 = 7.2726465e-11
ed_power_1_521 = 136563323.336729
ed_time_1_522 = 7.296262900000001e-11
ed_power_1_522 = 233501975.695775
ed_time_1_523 = 7.3200126e-11
ed_power_1_523 = 144725828.730993
ed_time_1_524 = 7.3433621e-11
ed_power_1_524 = 106334498.923395
ed_time_1_525 = 7.3672453e-11
ed_power_1_525 = 184846745.796204
ed_time_1_526 = 7.3900611e-11
ed_power_1_526 = 80067947.2922915
ed_time_1_527 = 7.4131437e-11
ed_power_1_527 = 246358658.684552
ed_time_1_528 = 7.4372938e-11
ed_power_1_528 = 131330584.889638
ed_time_1_529 = 7.460109599999999e-11
ed_power_1_529 = 452532225.040885
ed_time_1_530 = 7.482658499999999e-11
ed_power_1_530 = 83526329.204668
ed_time_1_531 = 7.506007999999999e-11
ed_power_1_531 = 35145979.0870027
ed_time_1_532 = 7.5290906e-11
ed_power_1_532 = 48559401.6582371
ed_time_1_533 = 7.552973799999999e-11
ed_power_1_533 = 124560784.973953
ed_time_1_534 = 7.5767236e-11
ed_power_1_534 = 283594168.99435
ed_time_1_535 = 7.599939600000001e-11
ed_power_1_535 = 678011781.504156
ed_time_1_536 = 7.6228888e-11
ed_power_1_536 = 444050096.155449
ed_time_1_537 = 7.6457046e-11
ed_power_1_537 = 295970739.198769
ed_time_1_538 = 7.669054099999999e-11
ed_power_1_538 = 638353539.960605
ed_time_1_539 = 7.6909359e-11
ed_power_1_539 = 1105781789.55517
ed_time_1_540 = 7.715219399999999e-11
ed_power_1_540 = 287064209.838969
ed_time_1_541 = 7.7387023e-11
ed_power_1_541 = 356343298.274326
ed_time_1_542 = 7.7617849e-11
ed_power_1_542 = 336516695.934188
ed_time_1_543 = 7.786068400000001e-11
ed_power_1_543 = 39841895.2942186
ed_time_1_544 = 7.8090176e-11
ed_power_1_544 = 479147496.358103
ed_time_1_545 = 7.8326339e-11
ed_power_1_545 = 659216483.310883
ed_time_1_546 = 7.854916e-11
ed_power_1_546 = 860361316.966552
ed_time_1_547 = 7.8778652e-11
ed_power_1_547 = 107291528.512877
ed_time_1_548 = 7.9001473e-11
ed_power_1_548 = 102654648.43406
ed_time_1_549 = 7.923630199999999e-11
ed_power_1_549 = 211642883.970197
ed_time_1_550 = 7.9468463e-11
ed_power_1_550 = 596385091.220152
ed_time_1_551 = 7.9695286e-11
ed_power_1_551 = 831906414.434757
ed_time_1_552 = 7.993011599999999e-11
ed_power_1_552 = 1455233329.34627
ed_time_1_553 = 8.015427099999999e-11
ed_power_1_553 = 317859003.822788
ed_time_1_554 = 8.0390434e-11
ed_power_1_554 = 1297279956.19626
ed_time_1_555 = 8.0611921e-11
ed_power_1_555 = 568287575.870152
ed_time_1_556 = 8.0853421e-11
ed_power_1_556 = 694237895.911285
ed_time_1_557 = 8.1082913e-11
ed_power_1_557 = 282646752.910401
ed_time_1_558 = 8.1317742e-11
ed_power_1_558 = 152770517.546796
ed_time_1_559 = 8.156324499999999e-11
ed_power_1_559 = 567380863.77772
ed_time_1_560 = 8.1800743e-11
ed_power_1_560 = 188319420.127712
ed_time_1_561 = 8.2036906e-11
ed_power_1_561 = 479967635.765061
ed_time_1_562 = 8.226372999999999e-11
ed_power_1_562 = 338413241.146953
ed_time_1_563 = 8.2495891e-11
ed_power_1_563 = 95717404.7743803
ed_time_1_564 = 8.2718711e-11
ed_power_1_564 = 632174638.253425
ed_time_1_565 = 8.296288e-11
ed_power_1_565 = 143568066.077819
ed_time_1_566 = 8.319504100000001e-11
ed_power_1_566 = 668042780.808006
ed_time_1_567 = 8.3432539e-11
ed_power_1_567 = 820410962.921069
ed_time_1_568 = 8.3667368e-11
ed_power_1_568 = 405726418.836263
ed_time_1_569 = 8.389285700000001e-11
ed_power_1_569 = 1429382024.90501
ed_time_1_570 = 8.413035499999999e-11
ed_power_1_570 = 286942737.060266
ed_time_1_571 = 8.437185499999999e-11
ed_power_1_571 = 609149065.243326
ed_time_1_572 = 8.461602399999999e-11
ed_power_1_572 = 1727603142.56943
ed_time_1_573 = 8.4845516e-11
ed_power_1_573 = 920299248.434203
ed_time_1_574 = 8.5079011e-11
ed_power_1_574 = 486711867.846879
ed_time_1_575 = 8.531650899999999e-11
ed_power_1_575 = 370282600.052542
ed_time_1_576 = 8.5552672e-11
ed_power_1_576 = 444174125.717538
ed_time_1_577 = 8.578750100000001e-11
ed_power_1_577 = 865449469.313124
ed_time_1_578 = 8.6023664e-11
ed_power_1_578 = 1874389738.71012
ed_time_1_579 = 8.626116199999999e-11
ed_power_1_579 = 846273926.294578
ed_time_1_580 = 8.6490654e-11
ed_power_1_580 = 970580004.507548
ed_time_1_581 = 8.6722815e-11
ed_power_1_581 = 239558049.529057
ed_time_1_582 = 8.6957644e-11
ed_power_1_582 = 1209334891.67133
ed_time_1_583 = 8.7187136e-11
ed_power_1_583 = 2581532308.43435
ed_time_1_584 = 8.7427302e-11
ed_power_1_584 = 824208246.471355
ed_time_1_585 = 8.7658128e-11
ed_power_1_585 = 1637371035.30508
ed_time_1_586 = 8.789429199999999e-11
ed_power_1_586 = 177648863.638081
ed_time_1_587 = 8.8118447e-11
ed_power_1_587 = 524764730.669743
ed_time_1_588 = 8.835461e-11
ed_power_1_588 = 813841154.601893
ed_time_1_589 = 8.8590774e-11
ed_power_1_589 = 520434434.486828
ed_time_1_590 = 8.8828271e-11
ed_power_1_590 = 203293733.388704
ed_time_1_591 = 8.905909800000001e-11
ed_power_1_591 = 1795006165.62695
ed_time_1_592 = 8.9301932e-11
ed_power_1_592 = 772103481.129925
ed_time_1_593 = 8.9540764e-11
ed_power_1_593 = 417686846.97666
ed_time_1_594 = 8.9770256e-11
ed_power_1_594 = 154940024.953928
ed_time_1_595 = 9.0009088e-11
ed_power_1_595 = 884492801.062742
ed_time_1_596 = 9.023858e-11
ed_power_1_596 = 240759967.831319
ed_time_1_597 = 9.0476078e-11
ed_power_1_597 = 2582527894.3173
ed_time_1_598 = 9.0708239e-11
ed_power_1_598 = 1018952275.18971
ed_time_1_599 = 9.0933728e-11
ed_power_1_599 = 1523312621.60958
ed_time_1_600 = 9.1171226e-11
ed_power_1_600 = 1410435441.83875
ed_time_1_601 = 9.1398049e-11
ed_power_1_601 = 570161851.499619
ed_time_1_602 = 9.163954999999999e-11
ed_power_1_602 = 301851136.445549
ed_time_1_603 = 9.1861036e-11
ed_power_1_603 = 3030330453.61026
ed_time_1_604 = 9.209052800000001e-11
ed_power_1_604 = 328096875.859885
ed_time_1_605 = 9.232002e-11
ed_power_1_605 = 343170315.61278
ed_time_1_606 = 9.2560186e-11
ed_power_1_606 = 2536107088.55505
ed_time_1_607 = 9.2797684e-11
ed_power_1_607 = 2157419600.04319
ed_time_1_608 = 9.3027176e-11
ed_power_1_608 = 202791120.910543
ed_time_1_609 = 9.3266008e-11
ed_power_1_609 = 556450614.7995
ed_time_1_610 = 9.349016299999999e-11
ed_power_1_610 = 3045948104.70702
ed_time_1_611 = 9.372365799999999e-11
ed_power_1_611 = 656440225.638249
ed_time_1_612 = 9.3946479e-11
ed_power_1_612 = 696249828.758293
ed_time_1_613 = 9.4170634e-11
ed_power_1_613 = 5417735838.56448
ed_time_1_614 = 9.4405463e-11
ed_power_1_614 = 2859637472.58276
ed_time_1_615 = 9.4637624e-11
ed_power_1_615 = 1090909901.03665
ed_time_1_616 = 9.4876455e-11
ed_power_1_616 = 604903551.997514
ed_time_1_617 = 9.5105948e-11
ed_power_1_617 = 92828623.0648968
ed_time_1_618 = 9.5336774e-11
ed_power_1_618 = 1582979866.42008
ed_time_1_619 = 9.55676e-11
ed_power_1_619 = 751433677.19668
ed_time_1_620 = 9.5799761e-11
ed_power_1_620 = 2514549211.48027
ed_time_1_621 = 9.6030587e-11
ed_power_1_621 = 1899773305.19862
ed_time_1_622 = 9.625474199999999e-11
ed_power_1_622 = 1019272435.60539
ed_time_1_623 = 9.6484234e-11
ed_power_1_623 = 2420007594.68193
ed_time_1_624 = 9.671639500000001e-11
ed_power_1_624 = 2303267549.86694
ed_time_1_625 = 9.6951224e-11
ed_power_1_625 = 4317010164.86004
ed_time_1_626 = 9.718071600000001e-11
ed_power_1_626 = 5956003095.70649
ed_time_1_627 = 9.7403537e-11
ed_power_1_627 = 18795471696.5934
ed_time_1_628 = 9.7637032e-11
ed_power_1_628 = 32294270736.6267
ed_time_1_629 = 9.786652399999999e-11
ed_power_1_629 = 14698450268.0345
ed_time_1_630 = 9.7997281e-11
ed_power_1_630 = 13105231455.7283
ed_time_1_631 = 9.8011958e-11
ed_power_1_631 = 11275561290.2505
ed_time_1_632 = 9.8022632e-11
ed_power_1_632 = 9138487600.82118
ed_time_1_633 = 9.8046649e-11
ed_power_1_633 = 8040671239.79682
ed_time_1_634 = 9.805865699999999e-11
ed_power_1_634 = 7238415458.78032
ed_time_1_635 = 9.8081339e-11
ed_power_1_635 = 7167564945.70765
ed_time_1_636 = 9.809067899999999e-11
ed_power_1_636 = 6148799980.46886
ed_time_1_637 = 9.8102687e-11
ed_power_1_637 = 6757006206.2705
ed_time_1_638 = 9.8114696e-11
ed_power_1_638 = 5073606908.15652
ed_time_1_639 = 9.8128038e-11
ed_power_1_639 = 5629574802.2526
ed_time_1_640 = 9.814004699999999e-11
ed_power_1_640 = 9043167750.2956
ed_time_1_641 = 9.8157392e-11
ed_power_1_641 = 10531563045.9565
ed_time_1_642 = 9.8174737e-11
ed_power_1_642 = 8790754526.27996
ed_time_1_643 = 9.8186746e-11
ed_power_1_643 = 4918236065.20193
ed_time_1_644 = 9.819608499999999e-11
ed_power_1_644 = 6243039155.36037
ed_time_1_645 = 9.8210762e-11
ed_power_1_645 = 8389468268.60875
ed_time_1_646 = 9.8228108e-11
ed_power_1_646 = 9353952799.25102
ed_time_1_647 = 9.8244119e-11
ed_power_1_647 = 5658559879.38748
ed_time_1_648 = 9.8256127e-11
ed_power_1_648 = 9642125707.06998
ed_time_1_649 = 9.8268135e-11
ed_power_1_649 = 13779956210.9426
ed_time_1_650 = 9.828147800000001e-11
ed_power_1_650 = 5443289814.6657
ed_time_1_651 = 9.8298823e-11
ed_power_1_651 = 7584762986.83644
ed_time_1_652 = 9.83135e-11
ed_power_1_652 = 8973251485.87244
ed_time_1_653 = 9.8325508e-11
ed_power_1_653 = 6543131173.70019
ed_time_1_654 = 9.8337517e-11
ed_power_1_654 = 19766428468.7008
ed_time_1_655 = 9.8350859e-11
ed_power_1_655 = 14278416063.7983
ed_time_1_656 = 9.8368204e-11
ed_power_1_656 = 14858020755.5409
ed_time_1_657 = 9.838288099999999e-11
ed_power_1_657 = 12296495507.2181
ed_time_1_658 = 9.839489e-11
ed_power_1_658 = 10801668776.355
ed_time_1_659 = 9.840689799999999e-11
ed_power_1_659 = 9488738672.34514
ed_time_1_660 = 9.841890600000001e-11
ed_power_1_660 = 17430357541.3893
ed_time_1_661 = 9.843491699999999e-11
ed_power_1_661 = 20613510466.3847
ed_time_1_662 = 9.8452263e-11
ed_power_1_662 = 45770487907.8389
ed_time_1_663 = 9.8468274e-11
ed_power_1_663 = 24221481158.3581
ed_time_1_664 = 9.8485619e-11
ed_power_1_664 = 23563681414.2897
ed_time_1_665 = 9.849762699999999e-11
ed_power_1_665 = 43754387503.9101
ed_time_1_666 = 9.8508301e-11
ed_power_1_666 = 38121870406.4717
ed_time_1_667 = 9.852031e-11
ed_power_1_667 = 151906887254.43
ed_time_1_668 = 9.8537655e-11
ed_power_1_668 = 83208060808.6894
ed_time_1_669 = 9.855366600000001e-11
ed_power_1_669 = 41743298395.4192
ed_time_1_670 = 9.8565674e-11
ed_power_1_670 = 49812481196.0677
ed_time_1_671 = 9.8577683e-11
ed_power_1_671 = 80590119163.361
ed_time_1_672 = 9.8589691e-11
ed_power_1_672 = 139835111197.543
ed_time_1_673 = 9.8605702e-11
ed_power_1_673 = 174075145227.13
ed_time_1_674 = 9.862171299999999e-11
ed_power_1_674 = 66363025847.1374
ed_time_1_675 = 9.863905800000001e-11
ed_power_1_675 = 74883557619.0433
ed_time_1_676 = 9.865640399999999e-11
ed_power_1_676 = 82158398957.1061
ed_time_1_677 = 9.866841200000001e-11
ed_power_1_677 = 59396251339.3402
ed_time_1_678 = 9.867908599999999e-11
ed_power_1_678 = 82933334433.7865
ed_time_1_679 = 9.8703103e-11
ed_power_1_679 = 41963948801.693
ed_time_1_680 = 9.871377699999999e-11
ed_power_1_680 = 50013981294.7749
ed_time_1_681 = 9.8737793e-11
ed_power_1_681 = 73431534765.8922
ed_time_1_682 = 9.8748468e-11
ed_power_1_682 = 68400782206.3518
ed_time_1_683 = 9.8772484e-11
ed_power_1_683 = 132128454713.297
ed_time_1_684 = 9.878048999999999e-11
ed_power_1_684 = 180221396810.461
ed_time_1_685 = 9.8792498e-11
ed_power_1_685 = 42096441316.7927
ed_time_1_686 = 9.8804506e-11
ed_power_1_686 = 75074293659.6924
ed_time_1_687 = 9.881518e-11
ed_power_1_687 = 85510572087.5983
ed_time_1_688 = 9.883786299999999e-11
ed_power_1_688 = 42024519000.1243
ed_time_1_689 = 9.884853699999999e-11
ed_power_1_689 = 46809718083.2043
ed_time_1_690 = 9.8859211e-11
ed_power_1_690 = 82109129741.2441
ed_time_1_691 = 9.887522199999999e-11
ed_power_1_691 = 87537385413.9175
ed_time_1_692 = 9.8889899e-11
ed_power_1_692 = 126696568408.214
ed_time_1_693 = 9.889523599999999e-11
ed_power_1_693 = 60928506055.1665
ed_time_1_694 = 9.890724400000001e-11
ed_power_1_694 = 91619392362.1485
ed_time_1_695 = 9.8921921e-11
ed_power_1_695 = 72515285871.4279
ed_time_1_696 = 9.8937932e-11
ed_power_1_696 = 69905167983.2628
ed_time_1_697 = 9.895260899999999e-11
ed_power_1_697 = 77107933597.6541
ed_time_1_698 = 9.896862e-11
ed_power_1_698 = 42455388136.454
ed_time_1_699 = 9.8979294e-11
ed_power_1_699 = 34593586036.3023
ed_time_1_700 = 9.8989968e-11
ed_power_1_700 = 44122871125.6039
ed_time_1_701 = 9.8999308e-11
ed_power_1_701 = 51237708959.326
ed_time_1_702 = 9.9011316022e-11
ed_power_1_702 = 30696306687.7618
ed_time_1_703 = 9.9016653047e-11
ed_power_1_703 = 28234456668.1925
ed_time_1_704 = 9.902199007299999e-11
ed_power_1_704 = 31189203389.0533
ed_time_1_705 = 9.9028661355e-11
ed_power_1_705 = 21222472093.838
ed_time_1_706 = 9.904066966199999e-11
ed_power_1_706 = 18333165527.8608
ed_time_1_707 = 9.9047340944e-11
ed_power_1_707 = 22315166629.6785
ed_time_1_708 = 9.9054012226e-11
ed_power_1_708 = 17641415152.0744
ed_time_1_709 = 9.9059349252e-11
ed_power_1_709 = 21433426896.2632
ed_time_1_710 = 9.9066020533e-11
ed_power_1_710 = 17806218505.867
ed_time_1_711 = 9.9075360328e-11
ed_power_1_711 = 20211735454.0013
ed_time_1_712 = 9.908203161e-11
ed_power_1_712 = 19426694776.7737
ed_time_1_713 = 9.908736863599999e-11
ed_power_1_713 = 18942164637.7586
ed_time_1_714 = 9.9094039917e-11
ed_power_1_714 = 16575471345.9348
ed_time_1_715 = 9.9099376943e-11
ed_power_1_715 = 16310708576.9152
ed_time_1_716 = 9.910604822499999e-11
ed_power_1_716 = 17208760434.9308
ed_time_1_717 = 9.911538801999999e-11
ed_power_1_717 = 12845669900.0165
ed_time_1_718 = 9.9119390789e-11
ed_power_1_718 = 11942579031.031
ed_time_1_719 = 9.912472781399999e-11
ed_power_1_719 = 16157052185.0605
ed_time_1_720 = 9.9134067609e-11
ed_power_1_720 = 16505974828.6402
ed_time_1_721 = 9.9138070378e-11
ed_power_1_721 = 16615095479.988
ed_time_1_722 = 9.9148744429e-11
ed_power_1_722 = 12829862203.2107
ed_time_1_723 = 9.9154081455e-11
ed_power_1_723 = 16726080844.5953
ed_time_1_724 = 9.916075273600001e-11
ed_power_1_724 = 8341283410.14883
ed_time_1_725 = 9.9166089762e-11
ed_power_1_725 = 15353651246.333
ed_time_1_726 = 9.91740953e-11
ed_power_1_726 = 8237302583.73992
ed_time_1_727 = 9.918343509499999e-11
ed_power_1_727 = 17106322755.135
ed_time_1_728 = 9.9190106377e-11
ed_power_1_728 = 11997109621.314
ed_time_1_729 = 9.919277489e-11
ed_power_1_729 = 10473109940.8727
ed_time_1_730 = 9.920211468399999e-11
ed_power_1_730 = 15827496383.0324
ed_time_1_731 = 9.920611745300001e-11
ed_power_1_731 = 15455778737.1684
ed_time_1_732 = 9.921812576099999e-11
ed_power_1_732 = 16369712873.3613
ed_time_1_733 = 9.9226131299e-11
ed_power_1_733 = 12603271852.205
ed_time_1_734 = 9.9235471094e-11
ed_power_1_734 = 19281087624.8093
ed_time_1_735 = 9.9248813658e-11
ed_power_1_735 = 16059274268.5548
ed_time_1_736 = 9.9254150683e-11
ed_power_1_736 = 20692394597.4012
ed_time_1_737 = 9.925548494e-11
ed_power_1_737 = 14388489321.5002
ed_time_1_738 = 9.9264824734e-11
ed_power_1_738 = 21191155792.7467
ed_time_1_739 = 9.9271496016e-11
ed_power_1_739 = 23081843286.9345
ed_time_1_740 = 9.9278167298e-11
ed_power_1_740 = 23813064773.2885
ed_time_1_741 = 9.928483858e-11
ed_power_1_741 = 18730009809.0509
ed_time_1_742 = 9.9288841349e-11
ed_power_1_742 = 19279665107.2365
ed_time_1_743 = 9.9296846887e-11
ed_power_1_743 = 26626393324.95
ed_time_1_744 = 9.9306186682e-11
ed_power_1_744 = 25235957426.2797
ed_time_1_745 = 9.931018945099999e-11
ed_power_1_745 = 18833002745.4949
ed_time_1_746 = 9.9322197759e-11
ed_power_1_746 = 37607522292.5656
ed_time_1_747 = 9.9324866271e-11
ed_power_1_747 = 21044063124.0669
ed_time_1_748 = 9.933287181e-11
ed_power_1_748 = 31478656836.2636
ed_time_1_749 = 9.9340877348e-11
ed_power_1_749 = 20073442390.0
ed_time_1_750 = 9.9344880117e-11
ed_power_1_750 = 27511909683.106
ed_time_1_751 = 9.935421991200001e-11
ed_power_1_751 = 27936693674.9753
ed_time_1_752 = 9.9358222681e-11
ed_power_1_752 = 18158224937.0252
ed_time_1_753 = 9.9360891194e-11
ed_power_1_753 = 24633514369.2065
ed_time_1_754 = 9.9367562476e-11
ed_power_1_754 = 22805211520.3484
ed_time_1_755 = 9.937690227e-11
ed_power_1_755 = 60630385112.2751
ed_time_1_756 = 9.9387576321e-11
ed_power_1_756 = 57379537307.3985
ed_time_1_757 = 9.939157909e-11
ed_power_1_757 = 26339752339.465
ed_time_1_758 = 9.9398250372e-11
ed_power_1_758 = 43476592988.9432
ed_time_1_759 = 9.9407590167e-11
ed_power_1_759 = 29423207536.0132
ed_time_1_760 = 9.941025868e-11
ed_power_1_760 = 23565213950.2517
ed_time_1_761 = 9.9419598474e-11
ed_power_1_761 = 71461379759.4227
ed_time_1_762 = 9.9426269756e-11
ed_power_1_762 = 23629697075.5458
ed_time_1_763 = 9.943027252500001e-11
ed_power_1_763 = 122937815583.566
ed_time_1_764 = 9.9438278064e-11
ed_power_1_764 = 27465197250.6306
ed_time_1_765 = 9.9443615089e-11
ed_power_1_765 = 35119286268.4454
ed_time_1_766 = 9.945162062699999e-11
ed_power_1_766 = 132585096226.165
ed_time_1_767 = 9.9455623397e-11
ed_power_1_767 = 23961164200.9948
ed_time_1_768 = 9.9459626166e-11
ed_power_1_768 = 176478802856.817
ed_time_1_769 = 9.946763170399999e-11
ed_power_1_769 = 51853612509.3525
ed_time_1_770 = 9.947296873e-11
ed_power_1_770 = 149443273054.324
ed_time_1_771 = 9.9476971499e-11
ed_power_1_771 = 113259137640.978
ed_time_1_772 = 9.9486311293e-11
ed_power_1_772 = 132859285676.556
ed_time_1_773 = 9.9490314063e-11
ed_power_1_773 = 157239340253.604
ed_time_1_774 = 9.9499653857e-11
ed_power_1_774 = 168992310990.002
ed_time_1_775 = 9.9508993652e-11
ed_power_1_775 = 142300566281.687
ed_time_1_776 = 9.951433067700001e-11
ed_power_1_776 = 266773858128.148
ed_time_1_777 = 9.952233621599999e-11
ed_power_1_777 = 253173100038.168
ed_time_1_778 = 9.952500472799999e-11
ed_power_1_778 = 341679659762.655
ed_time_1_779 = 9.953301026699999e-11
ed_power_1_779 = 877825323618.195
ed_time_1_780 = 9.9543684318e-11
ed_power_1_780 = 286844863392.223
ed_time_1_781 = 9.955168985599999e-11
ed_power_1_781 = 1049110813627.74
ed_time_1_782 = 9.9557026882e-11
ed_power_1_782 = 795880160395.541
ed_time_1_783 = 9.956102965099999e-11
ed_power_1_783 = 292984262796.079
ed_time_1_784 = 9.9567700933e-11
ed_power_1_784 = 1047049381454.36
ed_time_1_785 = 9.9574372215e-11
ed_power_1_785 = 475124142020.764
ed_time_1_786 = 9.9578374984e-11
ed_power_1_786 = 3803675176370.94
ed_time_1_787 = 9.9581043496e-11
ed_power_1_787 = 937311113511.738
ed_time_1_788 = 9.958771477800001e-11
ed_power_1_788 = 2942653902476.61
ed_time_1_789 = 9.9591717547e-11
ed_power_1_789 = 708110107693.432
ed_time_1_790 = 9.9598388829e-11
ed_power_1_790 = 2323396185028.56
ed_time_1_791 = 9.9607728624e-11
ed_power_1_791 = 1213025915304.07
ed_time_1_792 = 9.9614399906e-11
ed_power_1_792 = 736066181786.478
ed_time_1_793 = 9.9622405444e-11
ed_power_1_793 = 2196756147101.02
ed_time_1_794 = 9.9630410983e-11
ed_power_1_794 = 15746845131178.2
ed_time_1_795 = 9.9639750777e-11
ed_power_1_795 = 10798250331399.0
ed_time_1_796 = 9.964241929000001e-11
ed_power_1_796 = 28251203599375.5
ed_time_1_797 = 9.9649090572e-11
ed_power_1_797 = 2455646163656.22
ed_time_1_798 = 9.965442759699999e-11
ed_power_1_798 = 3842869591840.31
ed_time_1_799 = 9.9662433136e-11
ed_power_1_799 = 17987079098524.3
ed_time_1_800 = 9.967177293e-11
ed_power_1_800 = 18869110714331.1
ed_time_1_801 = 9.968111272500001e-11
ed_power_1_801 = 21559092211660.2
ed_time_1_802 = 9.968378123799999e-11
ed_power_1_802 = 3429850792131.95
ed_time_1_803 = 9.9687784007e-11
ed_power_1_803 = 16874508844534.6
ed_time_1_804 = 9.9691786776e-11
ed_power_1_804 = 25865213342890.2
ed_time_1_805 = 9.969979231400001e-11
ed_power_1_805 = 16343743471095.5
ed_time_1_806 = 9.970246082699999e-11
ed_power_1_806 = 9275966789534.87
ed_time_1_807 = 9.9709132109e-11
ed_power_1_807 = 27472458515448.9
ed_time_1_808 = 9.971847190399999e-11
ed_power_1_808 = 21077055319964.6
ed_time_1_809 = 9.972247467299999e-11
ed_power_1_809 = 122690063273393.0
ed_time_1_810 = 9.9730480211e-11
ed_power_1_810 = 83686997472689.4
ed_time_1_811 = 9.974115426199999e-11
ed_power_1_811 = 40890381025443.9
ed_time_1_812 = 9.974782554399999e-11
ed_power_1_812 = 126635410149604.0
ed_time_1_813 = 9.9755831082e-11
ed_power_1_813 = 293114249663459.0
ed_time_1_814 = 9.9765170877e-11
ed_power_1_814 = 221413554979040.0
ed_time_1_815 = 9.977584492799999e-11
ed_power_1_815 = 48667732570332.4
ed_time_1_816 = 9.9778513441e-11
ed_power_1_816 = 444631585401090.0
ed_time_1_817 = 9.978651897899999e-11
ed_power_1_817 = 257108091941662.0
ed_time_1_818 = 9.9791856005e-11
ed_power_1_818 = 75069793720931.8
ed_time_1_819 = 9.979986154300001e-11
ed_power_1_819 = 63072573467600.6
ed_time_1_820 = 9.9806532825e-11
ed_power_1_820 = 331293392017793.0
ed_time_1_821 = 9.9813204107e-11
ed_power_1_821 = 535267050812527.0
ed_time_1_822 = 9.9815872619e-11
ed_power_1_822 = 65438313999663.1
ed_time_1_823 = 9.9823878158e-11
ed_power_1_823 = 445835804808400.0
ed_time_1_824 = 9.9827880927e-11
ed_power_1_824 = 406995375998925.0
ed_time_1_825 = 9.9835886465e-11
ed_power_1_825 = 744077402307750.0
ed_time_1_826 = 9.984389200299999e-11
ed_power_1_826 = 373590029473766.0
ed_time_1_827 = 9.984922902899999e-11
ed_power_1_827 = 87457102415574.6
ed_time_1_828 = 9.9855900311e-11
ed_power_1_828 = 858070924840896.0
ed_time_1_829 = 9.9865240106e-11
ed_power_1_829 = 116856301755587.0
ed_time_1_830 = 9.987191138699999e-11
ed_power_1_830 = 409054788313424.0
ed_time_1_831 = 9.9877248413e-11
ed_power_1_831 = 920455749145303.0
ed_time_1_832 = 9.9882585438e-11
ed_power_1_832 = 148547606266123.0
ed_time_1_833 = 9.9890590977e-11
ed_power_1_833 = 521445872426779.0
ed_time_1_834 = 9.989859651499999e-11
ed_power_1_834 = 143711910711156.0
ed_time_1_835 = 9.9901265028e-11
ed_power_1_835 = 360028901526281.0
ed_time_1_836 = 9.9909270566e-11
ed_power_1_836 = 377314189019191.0
ed_time_1_837 = 9.9913273335e-11
ed_power_1_837 = 468533342509983.0
ed_time_1_838 = 9.9923947386e-11
ed_power_1_838 = 447833112854437.0
ed_time_1_839 = 9.9930618668e-11
ed_power_1_839 = 490303381470201.0
ed_time_1_840 = 9.9935955694e-11
ed_power_1_840 = 388363200585725.0
ed_time_1_841 = 9.9943961232e-11
ed_power_1_841 = 420966254051965.0
ed_time_1_842 = 9.9946629745e-11
ed_power_1_842 = 497272022429871.0
ed_time_1_843 = 9.995596953899999e-11
ed_power_1_843 = 357888771560263.0
ed_time_1_844 = 9.9963975078e-11
ed_power_1_844 = 521055911824637.0
ed_time_1_845 = 9.997198061599999e-11
ed_power_1_845 = 338013334657436.0
ed_time_1_846 = 9.9975983385e-11
ed_power_1_846 = 409133230427729.0
ed_time_1_847 = 9.9983988923e-11
ed_power_1_847 = 134553154670257.0
ed_time_1_848 = 9.998799169299999e-11
ed_power_1_848 = 326091641785349.0
ed_time_1_849 = 9.999466297399999e-11
ed_power_1_849 = 592017312592787.0


### SETUP LASER BEAM ###
ed_numberOfBeams = 1

# Setup Gaussian Beam:
ed_lensX_1                         = -5.1e-03
ed_lensY_1                         = 0.0 
ed_lensSemiAxisMajor_1             = 3.0e-03
ed_targetX_1                       = 0.0
ed_targetY_1                       = 0.0
ed_targetSemiAxisMajor_1           = 3.0e-03 
ed_pulseNumber_1                   = 1 
ed_wavelength_1                    = 0.8 
ed_crossSectionFunctionType_1      = "gaussian1D" 
ed_gaussianExponent_1              = 1.0 
ed_gaussianRadiusMajor_1           = 1.501403e-03 
ed_numberOfRays_1                  = 1024
ed_gridType_1                      = "regular1D" 


#################################
#                               #
#     CONDUCTION PARAMETERS     #
#                               #
#################################
useDiffuse      = .true.
useConductivity = .true.
diff_useEleCond = .true.
diff_eleFlMode  = "fl_larsen"
diff_eleFlCoef  = 0.06
diff_thetaImplct = 1.0

diff_eleXlBoundaryType = "outflow"
diff_eleXrBoundaryType = "outflow"
diff_eleYlBoundaryType = "outflow"
diff_eleYrBoundaryType = "outflow"
diff_eleZlBoundaryType = "outflow"
diff_eleZrBoundaryType = "outflow"


####################################
#                                  #
#     HEAT EXCHANGE PARAMETERS     #
#                                  #
####################################
useHeatexchange = .true.


##########################
#                        #
#     EOS PARAMETERS     #
#                        #
##########################
eosModeInit      = "dens_temp_gather"
smallt           = 1.0
smallx           = 1.0e-99
eos_useLogTables = .false.


############################
#                          #
#     HYDRO PARAMETERS     #
#                          #
############################
useHydro = .true.
 
order            = 3        # Interpolation order (first/second/third/fifth order)
slopeLimiter     = "minmod" # Slope limiters (minmod, mc, vanLeer, hybrid, limited)
LimitedSlopeBeta = 1.       # Slope parameter for the "limited" slope by Toro
charLimiting     = .true.   # Characteristic limiting vs. Primitive limiting
use_avisc        = .true.   # use artificial viscosity (originally for PPM)
cvisc            = 0.1      # coefficient for artificial viscosity
use_flattening   = .false.  # use flattening (dissipative) (originally for PPM)
use_steepening   = .false.  # use contact steepening (originally for PPM)
use_upwindTVD    = .false.  # use upwind biased TVD slope for PPM (need nguard=6)
RiemannSolver    = "hllc"   # Roe, HLL, HLLC, LLF, Marquina, hybrid
entropy          = .false.  # Entropy fix for the Roe solver
shockDetect      = .false.  # Shock Detect for numerical stability
use_hybridOrder  = .true.   # Enforce Riemann density jump

# Hydro boundary conditions:
xl_boundary_type = "outflow"
xr_boundary_type = "outflow"
yl_boundary_type = "outflow"
yr_boundary_type = "outflow"
zl_boundary_type = "reflect" 
zr_boundary_type = "reflect" 


##############################
#                            #
#     INITIAL CONDITIONS     #
#                            #
##############################

sim_targetRadius = 2.2e-04
sim_targetHeight = 1
sim_vacuumHeight = 0

# new parameters for target freezing
use_Freeze    = 1
sim_meltTarg  = 10.0

# Target material defaults set for H at Cryo temperature:
sim_rhoTarg       = 2.7
sim_teleTarg      = 400
sim_tionTarg      = 400
sim_tradTarg      = 400
sim_meltTarg      = 420
ms_targA          = 1.00784
ms_targZ          = 1.0
ms_targZMin       = 0.02
eos_targEosType   = "eos_tab"
eos_targSubType   = "ionmix4"
eos_targTableFile = "H_long.cn4"

# Chamber material defaults set for Helium at pressure 1.6 mbar:
sim_rhoCham       = 1.0e-05
sim_teleCham      = 400
sim_tionCham      = 400
sim_tradCham      = 400
ms_chamA          = 1.00784
ms_chamZ          = 1.0
eos_chamEosType   = "eos_tab"
eos_chamSubType   = "ionmix4"
eos_chamTableFile = "H_long.cn4"



###########################
#                         #
#     TIME PARAMETERS     #
#                         #
###########################
tstep_change_factor = 1.10
cfl            = 0.4
dt_diff_factor = 1.0e+100 # Disable diffusion dt
rt_dtFactor    = 0.2
hx_dtFactor    = 1.0e+100
tmax           = 100.0e-12
dtmin          = 1.0e-18
dtinit         = 1.0e-16
dtmax          = 1.0e-15
nend           = 10000000


###########################
#                         #
#     MESH PARAMETERS     #
#                         #
###########################
geometry = "cartesian"

# Domain size:
xmin                               = -5.0e-03
xmax                               = 5.0e-03
ymin                               = -5.0e-03 
ymax                               = 5.0e-03  

# Total number of blocks:
nblockx                            = 16
nblocky                            = 16

lrefine_max = 4
lrefine_min = 1
refine_var_1 = "dens"
refine_var_2 = "tele"

# Advanced Parameters
hy_eosModeAfter                    = "dens_ie_gather" 
hy_3TMode                          = "ragelike" 

dr_usePosdefComputeDt              = .true.
dr_posdefVar_1                     = "eion"  
dr_posdefVar_2                     = "eele" 
dr_posdefVar_3                     = "tele" 
dr_posdefVar_4                     = "tion" 




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