diff --git a/CHANGELOG.md b/CHANGELOG.md index 37cd1f24c5..5cd80aa459 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -3,6 +3,13 @@ All notable changes to the Lethe project will be documented in this file. The format is based on [Keep a Changelog](http://keepachangelog.com/). + +## [Master] - 2024-10-03 + +### Fixed + +- MINOR Simulations with time-dependent boundary conditions would not restart corresctly in the matrix-free solver because the initial guess of the solution was reset to zero. This is fixed now and the initial guess of the solution is identical. [#1302](https://github.com/chaos-polymtl/lethe/pull/1302) + ## [Master] - 2024-09-30 ### Fixed diff --git a/applications_tests/lethe-fluid-matrix-free/CMakeLists.txt b/applications_tests/lethe-fluid-matrix-free/CMakeLists.txt index 9840550200..451c3286ac 100644 --- a/applications_tests/lethe-fluid-matrix-free/CMakeLists.txt +++ b/applications_tests/lethe-fluid-matrix-free/CMakeLists.txt @@ -14,6 +14,15 @@ file(COPY tgv_restart_bdf1/enstrophy.checkpoint DESTINATION "${CMAKE_CURRENT_BIN file(COPY tgv_restart_bdf1/kinetic_energy.checkpoint DESTINATION "${CMAKE_CURRENT_BINARY_DIR}/tgv_restart_bdf1.${_build_type}") file(COPY tgv_restart_bdf1/L2Error_FD.checkpoint DESTINATION "${CMAKE_CURRENT_BINARY_DIR}/tgv_restart_bdf1.${_build_type}") + +file(COPY turbulent_taylor_couette_restart/restart.pvdhandler DESTINATION "${CMAKE_CURRENT_BINARY_DIR}/turbulent_taylor_couette_restart.${_build_type}") +file(COPY turbulent_taylor_couette_restart/restart.simulationcontrol DESTINATION "${CMAKE_CURRENT_BINARY_DIR}/turbulent_taylor_couette_restart.${_build_type}") +file(COPY turbulent_taylor_couette_restart/restart.triangulation DESTINATION "${CMAKE_CURRENT_BINARY_DIR}/turbulent_taylor_couette_restart.${_build_type}") +file(COPY turbulent_taylor_couette_restart/restart.triangulation_fixed.data DESTINATION "${CMAKE_CURRENT_BINARY_DIR}/turbulent_taylor_couette_restart.${_build_type}") +file(COPY turbulent_taylor_couette_restart/restart.triangulation.info DESTINATION "${CMAKE_CURRENT_BINARY_DIR}/turbulent_taylor_couette_restart.${_build_type}") +file(COPY turbulent_taylor_couette_restart/enstrophy.checkpoint DESTINATION "${CMAKE_CURRENT_BINARY_DIR}/turbulent_taylor_couette_restart.${_build_type}") +file(COPY turbulent_taylor_couette_restart/kinetic_energy.checkpoint DESTINATION "${CMAKE_CURRENT_BINARY_DIR}/turbulent_taylor_couette_restart.${_build_type}") + deal_ii_pickup_tests() if(CMAKE_BUILD_TYPE STREQUAL "Debug") diff --git a/applications_tests/lethe-fluid-matrix-free/generators/turbulent_taylor_couette_generator.prm b/applications_tests/lethe-fluid-matrix-free/generators/turbulent_taylor_couette_generator.prm new file mode 100644 index 0000000000..733a0bbf25 --- /dev/null +++ b/applications_tests/lethe-fluid-matrix-free/generators/turbulent_taylor_couette_generator.prm @@ -0,0 +1,161 @@ +# Listing of Parameters +#---------------------- + +set dimension = 3 + +#--------------------------------------------------- +# Simulation Control +#--------------------------------------------------- + +subsection simulation control + set method = bdf2 + set output name = taylor-couette + set output path = ./output/ + set time end = 10.5 + set time step = 0.01 + set output frequency = 0 +end + +#------------------------ --------------------------- +# Physical Properties +#--------------------------------------------------- + +subsection physical properties + subsection fluid 0 + set kinematic viscosity = 6.25e-05 + end +end + +subsection restart + set checkpoint = true + set frequency = 10 + set filename = restart + set restart = false +end + +#--------------------------------------------------- +# Initial conditions +#--------------------------------------------------- + +subsection initial conditions + set type = nodal + subsection uvwp + set Function constants = epsilon=0.1, ri=0.5, omega=1.0, d=0.5 , A= -0.3333333333333333, B= 0.3333333333333333 + set Function expression = cos(atan2(y,x))*(epsilon*omega*ri*cos(atan2(y,x))*sin(((sqrt(x*x+y*y)-ri)*pi)/ri)*sin(z/d)) - sin(atan2(y,x))*(A*(sqrt(x*x+y*y)) + B/(sqrt(x*x+y*y)) + epsilon*omega*ri*sin(atan2(y,x))*sin(((sqrt(x*x+y*y)-ri)*pi)/ri)*sin(z/d)); sin(atan2(y,x))*(epsilon*omega*ri*cos(atan2(y,x))*sin(((sqrt(x*x+y*y)-ri)*pi)/ri)*sin(z/d)) + cos(atan2(y,x))*(A*(sqrt(x*x+y*y)) + B/(sqrt(x*x+y*y)) + epsilon*omega*ri*sin(atan2(y,x))*sin(((sqrt(x*x+y*y)-ri)*pi)/ri)*sin(z/d)); 0.0; ((0.5*A*A*(x*x+y*y)) + (2*A*B*ln(sqrt(x*x+y*y)))) - (0.5*B*B/(x*x+y*y)) + (0.5*(epsilon*omega*ri)*(epsilon*omega*ri)*cos(2*atan2(y,x))*sin((2*(sqrt(x*x+y*y)-ri)*pi)/ri)*sin(2*z/d)) + end +end + +#--------------------------------------------------- +# Mesh +#--------------------------------------------------- + +subsection mesh + set type = dealii + set grid type = cylinder_shell + set grid arguments = 3.14159265359 : 0.5 : 1.0 : 5 : 4 : true + set initial refinement = 1 +end + +#--------------------------------------------------- +# FEM +#--------------------------------------------------- + +subsection FEM + set velocity order = 2 + set pressure order = 2 +end + +#--------------------------------------------------- +# Post-Processing +#--------------------------------------------------- + +subsection post-processing + set verbosity = verbose + set calculate kinetic energy = true + set calculate enstrophy = true + set calculate average velocities = false + set initial time = 0. +end + +#--------------------------------------------------- +# Boundary Conditions +#--------------------------------------------------- + +subsection boundary conditions + set number = 3 + set fix pressure constant = true + set time dependent = true + subsection bc 0 + set type = function + set beta = 1 + subsection u + set Function expression = -y + end + subsection v + set Function expression = x + end + subsection w + set Function expression = 0 + end + end + subsection bc 1 + set type = noslip + end + subsection bc 2 + set type = periodic + set id = 2 + set periodic_id = 3 + set periodic_direction = 2 + end +end + +#--------------------------------------------------- +# Non-Linear Solver Control +#--------------------------------------------------- + +subsection non-linear solver + subsection fluid dynamics + set tolerance = 1e-3 + set verbosity = quiet + end +end + +#--------------------------------------------------- +# Linear Solver Control +#--------------------------------------------------- + +subsection linear solver + subsection fluid dynamics + set method = gmres + set max iters = 100 + set relative residual = 1e-4 + set minimum residual = 1e-7 + set preconditioner = gcmg + set verbosity = quiet + + # MG parameters + set mg verbosity = quiet + set mg min level = -1 + set mg level min cells = 16 + + # Smoother + set mg smoother iterations = 10 + set mg smoother eig estimation = true + + # Eigenvalue estimation parameters + set eig estimation smoothing range = 5 + set eig estimation cg n iterations = 20 + set eig estimation verbosity = quiet + + # Coarse-grid solver + set mg coarse grid solver = gmres + set mg gmres max iterations = 2000 + set mg gmres tolerance = 1e-7 + set mg gmres reduce = 1e-4 + set mg gmres max krylov vectors = 30 + set mg gmres preconditioner = ilu + set ilu preconditioner fill = 1 + set ilu preconditioner absolute tolerance = 1e-10 + set ilu preconditioner relative tolerance = 1.00 + end +end diff --git a/applications_tests/lethe-fluid-matrix-free/turbulent_taylor_couette_restart.output b/applications_tests/lethe-fluid-matrix-free/turbulent_taylor_couette_restart.output new file mode 100644 index 0000000000..16b9ba40c1 --- /dev/null +++ b/applications_tests/lethe-fluid-matrix-free/turbulent_taylor_couette_restart.output @@ -0,0 +1,23 @@ +Running on 1 MPI rank(s)... + Number of active cells: 20 + Number of degrees of freedom: 1080 + Volume of triangulation: 7.36551 +************************ +---> Simulation Restart +************************ + Number of active cells: 160 + Number of degrees of freedom: 6800 + Volume of triangulation: 7.39983 + +******************************************************************************* +Transient iteration: 1052 Time: 10.51 Time step: 0.01 CFL: 0.021966 +******************************************************************************* +--------------- +Fluid Dynamics +--------------- +Newton iteration: 0 - Residual: 0.00353967 + alpha = 1 res = 7.232e-09 + ||du||_L2 = 0.004831 ||du||_Linfty = 0.0003414 + ||dp||_L2 = 0.0008221 ||dp||_Linfty = 6.221e-05 +Enstrophy : 0.3507 +Kinetic energy : 0.02601 diff --git a/applications_tests/lethe-fluid-matrix-free/turbulent_taylor_couette_restart.prm b/applications_tests/lethe-fluid-matrix-free/turbulent_taylor_couette_restart.prm new file mode 100644 index 0000000000..a12a9f5dc3 --- /dev/null +++ b/applications_tests/lethe-fluid-matrix-free/turbulent_taylor_couette_restart.prm @@ -0,0 +1,165 @@ +# Listing of Parameters +#---------------------- + +set dimension = 3 + +#--------------------------------------------------- +# Simulation Control +#--------------------------------------------------- + +subsection simulation control + set method = bdf2 + set output name = taylor-couette + set output path = ../ + set time end = 10.51 + set time step = 0.01 + set output frequency = 0 +end + +#------------------------ --------------------------- +# Physical Properties +#--------------------------------------------------- + +subsection physical properties + subsection fluid 0 + set kinematic viscosity = 6.25e-05 + end +end + +subsection restart + # Checkpointing parameters + set checkpoint = false + set frequency = 10 + + # Output/input files + set filename = restart + + # Restarting parameter + set restart = true +end + +#--------------------------------------------------- +# Initial conditions +#--------------------------------------------------- + +subsection initial conditions + set type = nodal + subsection uvwp + # A= -(kappa * kappa) / (1. - kappa * kappa); + # B= ri * ri / (1. - kappa * kappa); + set Function constants = epsilon=0.1, ri=0.5, omega=1.0, d=0.5 , A= -0.3333333333333333, B= 0.3333333333333333 + set Function expression = cos(atan2(y,x))*(epsilon*omega*ri*cos(atan2(y,x))*sin(((sqrt(x*x+y*y)-ri)*pi)/ri)*sin(z/d)) - sin(atan2(y,x))*(A*(sqrt(x*x+y*y)) + B/(sqrt(x*x+y*y)) + epsilon*omega*ri*sin(atan2(y,x))*sin(((sqrt(x*x+y*y)-ri)*pi)/ri)*sin(z/d)); sin(atan2(y,x))*(epsilon*omega*ri*cos(atan2(y,x))*sin(((sqrt(x*x+y*y)-ri)*pi)/ri)*sin(z/d)) + cos(atan2(y,x))*(A*(sqrt(x*x+y*y)) + B/(sqrt(x*x+y*y)) + epsilon*omega*ri*sin(atan2(y,x))*sin(((sqrt(x*x+y*y)-ri)*pi)/ri)*sin(z/d)); 0.0; ((0.5*A*A*(x*x+y*y)) + (2*A*B*ln(sqrt(x*x+y*y)))) - (0.5*B*B/(x*x+y*y)) + (0.5*(epsilon*omega*ri)*(epsilon*omega*ri)*cos(2*atan2(y,x))*sin((2*(sqrt(x*x+y*y)-ri)*pi)/ri)*sin(2*z/d)) + end +end + +#--------------------------------------------------- +# Mesh +#--------------------------------------------------- + +subsection mesh + set type = dealii + set grid type = cylinder_shell + set grid arguments = 3.14159265359 : 0.5 : 1.0 : 5 : 4 : true + set initial refinement = 1 +end + +#--------------------------------------------------- +# FEM +#--------------------------------------------------- + +subsection FEM + set velocity order = 2 #3 for Q3 + set pressure order = 2 #3 for Q3 +end + +#--------------------------------------------------- +# Post-Processing +#--------------------------------------------------- + +subsection post-processing + set verbosity = verbose + # Kinetic energy calculation + set calculate kinetic energy = true + + # Enstrophy calculation + set calculate enstrophy = true + + set calculate average velocities = false + set initial time = 0. +end + +#--------------------------------------------------- +# Boundary Conditions +#--------------------------------------------------- + +subsection boundary conditions + set number = 3 + set fix pressure constant = true + set time dependent = true + subsection bc 0 + set type = function + set beta = 1 + subsection u + set Function expression = -y + end + subsection v + set Function expression = x + end + subsection w + set Function expression = 0 + end + end + subsection bc 1 + set type = noslip + end + subsection bc 2 + set type = periodic + set id = 2 + set periodic_id = 3 + set periodic_direction = 2 + end +end + +#--------------------------------------------------- +# Non-Linear Solver Control +#--------------------------------------------------- + +subsection non-linear solver + subsection fluid dynamics + set tolerance = 1e-3 + set verbosity = verbose + set max iterations = 1 + end +end + +#--------------------------------------------------- +# Linear Solver Control +#--------------------------------------------------- + +subsection linear solver + subsection fluid dynamics + set method = gmres + set max iters = 100 + set relative residual = 1e-11 + set minimum residual = 1e-12 + set preconditioner = gcmg + set verbosity = quiet + + # MG parameters + set mg verbosity = quiet + set mg min level = -1 + set mg level min cells = 16 + + # Smoother + set mg smoother iterations = 10 + set mg smoother eig estimation = true + + # Eigenvalue estimation parameters + set eig estimation smoothing range = 5 + set eig estimation cg n iterations = 20 + set eig estimation verbosity = quiet + + # Coarse-grid solver + set mg coarse grid solver = direct + end +end diff --git a/applications_tests/lethe-fluid-matrix-free/turbulent_taylor_couette_restart/enstrophy.checkpoint b/applications_tests/lethe-fluid-matrix-free/turbulent_taylor_couette_restart/enstrophy.checkpoint new file mode 100644 index 0000000000..48866c873c --- /dev/null +++ b/applications_tests/lethe-fluid-matrix-free/turbulent_taylor_couette_restart/enstrophy.checkpoint @@ -0,0 +1,2 @@ +0 0 0 0 2 0 4 time 9 enstrophy 0 0 2 0 0 0 9 enstrophy 0 0 0 0 1052 0 0 0 100 2.30906287472741306e-01 100 2.31061242779301290e-01 100 2.31732027062871021e-01 100 2.31627708444130664e-01 100 2.31521003580412305e-01 100 2.31484922801407755e-01 100 2.31470409641904240e-01 100 2.31460652684474438e-01 100 2.31452122017912487e-01 100 2.31444179484705359e-01 100 2.31436600384301194e-01 100 2.31429261785371876e-01 100 2.31422119110728464e-01 100 2.31415169466124393e-01 100 2.31408421053752006e-01 100 2.31401880564521462e-01 100 2.31395551205093197e-01 100 2.31389433969219294e-01 100 2.31383528907440211e-01 100 2.31377835781270580e-01 100 2.31372354301629279e-01 100 2.31367084187762195e-01 100 2.31362025169858071e-01 100 2.31357176981752705e-01 100 2.31352539356101283e-01 100 2.31348112022958602e-01 100 2.31343894710205999e-01 100 2.31339887144543954e-01 100 2.31336089052444877e-01 100 2.31332500160892601e-01 100 2.31329120197916793e-01 100 2.31325948892975919e-01 100 2.31322985977233775e-01 100 2.31320231183767488e-01 100 2.31317684247725919e-01 100 2.31315344906453890e-01 100 2.31313212899592835e-01 100 2.31311287969161838e-01 100 2.31309569859624753e-01 100 2.31308058317947540e-01 100 2.31306753093646233e-01 100 2.31305653938827460e-01 100 2.31304760608225246e-01 100 2.31304072859230436e-01 100 2.31303590451918645e-01 100 2.31303313149071654e-01 100 2.31303240716198483e-01 100 2.31303372921550676e-01 100 2.31303709536137381e-01 100 2.31304250333736056e-01 100 2.31304995090901633e-01 100 2.31305943586974566e-01 100 2.31307095604084245e-01 100 2.31308450927154102e-01 100 2.31310009343902528e-01 100 2.31311770644843373e-01 100 2.31313734623285028e-01 100 2.31315901075327957e-01 100 2.31318269799861725e-01 100 2.31320840598560423e-01 100 2.31323613275878026e-01 100 2.31326587639041625e-01 100 2.31329763498045349e-01 100 2.31333140665643311e-01 100 2.31336718957341037e-01 100 2.31340498191387856e-01 100 2.31344478188768077e-01 100 2.31348658773191551e-01 100 2.31353039771084568e-01 100 2.31357621011580472e-01 100 2.31362402326509370e-01 100 2.31367383550388050e-01 100 2.31372564520410107e-01 100 2.31377945076435609e-01 100 2.31383525060979978e-01 100 2.31389304319204847e-01 100 2.31395282698905747e-01 100 2.31401460050502827e-01 100 2.31407836227029068e-01 100 2.31414411084121169e-01 100 2.31421184480007591e-01 100 2.31428156275498259e-01 100 2.31435326333973873e-01 100 2.31442694521375364e-01 100 2.31450260706193456e-01 100 2.31458024759457204e-01 100 2.31465986554724890e-01 100 2.31474145968072198e-01 100 2.31482502878082419e-01 100 2.31491057165836234e-01 100 2.31499808714900668e-01 100 2.31508757411319016e-01 100 2.31517903143601100e-01 100 2.31527245802712139e-01 100 2.31536785282063423e-01 100 2.31546521477501627e-01 100 2.31556454287298374e-01 100 2.31566583612141524e-01 100 2.31576909355123817e-01 100 2.31587431421733381e-01 100 2.31598149719844104e-01 100 2.31609064159705447e-01 100 2.31620174653932448e-01 100 2.31631481117496568e-01 100 2.31642983467715502e-01 100 2.31654681624243075e-01 100 2.31666575509060862e-01 100 2.31678665046467114e-01 100 2.31690950163068066e-01 100 2.31703430787768144e-01 100 2.31716106851760334e-01 100 2.31728978288517157e-01 100 2.31742045033780486e-01 100 2.31755307025552609e-01 100 2.31768764204086875e-01 100 2.31782416511878420e-01 100 2.31796263893654653e-01 100 2.31810306296365565e-01 100 2.31824543669175459e-01 100 2.31838975963453042e-01 100 2.31853603132762209e-01 100 2.31868425132853107e-01 100 2.31883441921653333e-01 100 2.31898653459257892e-01 100 2.31914059707920672e-01 100 2.31929660632045842e-01 100 2.31945456198177635e-01 100 2.31961446374992636e-01 100 2.31977631142760071e-01 100 2.31994010457796607e-01 100 2.32010584299671363e-01 100 2.32027352647992152e-01 100 2.32044315482166807e-01 100 2.32061472783355038e-01 100 2.32078824534893841e-01 100 2.32096370722201018e-01 100 2.32114111332733158e-01 100 2.32132046355989413e-01 100 2.32150175783506857e-01 100 2.32168499608849166e-01 100 2.32187017827596015e-01 100 2.32205730437333835e-01 100 2.32224637437648596e-01 100 2.32243738830116841e-01 100 2.32263034618296837e-01 100 2.32282524807720159e-01 100 2.32302209405882698e-01 100 2.32322088422235867e-01 100 2.32342161868179520e-01 100 2.32362429757051098e-01 100 2.32382892104118333e-01 100 2.32403548926571307e-01 100 2.32424400243512214e-01 100 2.32445446075948414e-01 100 2.32466686446782922e-01 100 2.32488121380806212e-01 100 2.32509750904688117e-01 100 2.32531575046968475e-01 100 2.32553593838049855e-01 100 2.32575807310187788e-01 100 2.32598215497483551e-01 100 2.32620818435874677e-01 100 2.32643616163127676e-01 100 2.32666608718828383e-01 100 2.32689796144374600e-01 100 2.32713178482967353e-01 100 2.32736755779602317e-01 100 2.32760528081061457e-01 100 2.32784495435905625e-01 100 2.32808657894464643e-01 100 2.32833015508830177e-01 100 2.32857568332847154e-01 100 2.32882316422105384e-01 100 2.32907259833930957e-01 100 2.32932398627378856e-01 100 2.32957732863223216e-01 100 2.32983262603950719e-01 100 2.33008987913751131e-01 100 2.33034908858509887e-01 100 2.33061025505798797e-01 100 2.33087337924868965e-01 100 2.33113846186642271e-01 100 2.33140550363702015e-01 100 2.33167450530286674e-01 100 2.33194546762280186e-01 100 2.33221839137204234e-01 100 2.33249327734210254e-01 100 2.33277012634070802e-01 100 2.33304893919172140e-01 100 2.33332971673505113e-01 100 2.33361245982657783e-01 100 2.33389716933806973e-01 100 2.33418384615709851e-01 100 2.33447249118696382e-01 100 2.33476310534661058e-01 100 2.33505568957054072e-01 100 2.33535024480874154e-01 100 2.33564677202659776e-01 100 2.33594527220481935e-01 100 2.33624574633934518e-01 100 2.33654819544127951e-01 100 2.33685262053680010e-01 100 2.33715902266707992e-01 100 2.33746740288820642e-01 100 2.33777776227110712e-01 100 2.33809010190145328e-01 100 2.33840442287959860e-01 100 2.33872072632048400e-01 100 2.33903901335356712e-01 100 2.33935928512273322e-01 100 2.33968154278621998e-01 100 2.34000578751654031e-01 100 2.34033202050039413e-01 100 2.34066024293859309e-01 100 2.34099045604598155e-01 100 2.34132266105135378e-01 100 2.34165685919737410e-01 100 2.34199305174049938e-01 100 2.34233123995089637e-01 100 2.34267142511236731e-01 100 2.34301360852225637e-01 100 2.34335779149138973e-01 100 2.34370397534398117e-01 100 2.34405216141755773e-01 100 2.34440235106287809e-01 100 2.34475454564385816e-01 100 2.34510874653748369e-01 100 2.34546495513374031e-01 100 2.34582317283552277e-01 100 2.34618340105856971e-01 100 2.34654564123137122e-01 100 2.34690989479509643e-01 100 2.34727616320351440e-01 100 2.34764444792291582e-01 100 2.34801475043202645e-01 100 2.34838707222194132e-01 100 2.34876141479603229e-01 100 2.34913777966988202e-01 100 2.34951616837119293e-01 100 2.34989658243971833e-01 100 2.35027902342717809e-01 100 2.35066349289718229e-01 100 2.35104999242515295e-01 100 2.35143852359824518e-01 100 2.35182908801527091e-01 100 2.35222168728661307e-01 100 2.35261632303415735e-01 100 2.35301299689120835e-01 100 2.35341171050241382e-01 100 2.35381246552368473e-01 100 2.35421526362211392e-01 100 2.35462010647591063e-01 100 2.35502699577430807e-01 100 2.35543593321749622e-01 100 2.35584692051653777e-01 100 2.35625995939329202e-01 100 2.35667505158034141e-01 100 2.35709219882090593e-01 100 2.35751140286877769e-01 100 2.35793266548823044e-01 100 2.35835598845395206e-01 100 2.35878137355096051e-01 100 2.35920882257453446e-01 100 2.35963833733012773e-01 100 2.36006991962983997e-01 100 2.36050357131676075e-01 100 2.36093929420261139e-01 100 2.36137709013995223e-01 100 2.36181696098806237e-01 100 2.36225890861124277e-01 100 2.36270293488311439e-01 100 2.36314904168768714e-01 100 2.36359723091872476e-01 100 2.36404750447931689e-01 100 2.36449986428182046e-01 100 2.36495431224785502e-01 100 2.36541085030823106e-01 100 2.36586948040288236e-01 100 2.36633020448076659e-01 100 2.36679302449980478e-01 100 2.36725794242679866e-01 100 2.36772496023735846e-01 100 2.36819407991582576e-01 100 2.36866530345519882e-01 100 2.36913863285705906e-01 100 2.36961407013149050e-01 100 2.37009161729701240e-01 100 2.37057127638049897e-01 100 2.37105304941710393e-01 100 2.37153693845019053e-01 100 2.37202294553125470e-01 100 2.37251107271984563e-01 100 2.37300132208349668e-01 100 2.37349369569765600e-01 100 2.37398819564559799e-01 100 2.37448482401836192e-01 100 2.37498358291466899e-01 100 2.37548447444085820e-01 100 2.37598750071080195e-01 100 2.37649266384583974e-01 100 2.37699996597470264e-01 100 2.37750940923343451e-01 100 2.37802099576532810e-01 100 2.37853472772083990e-01 100 2.37905060725753015e-01 100 2.37956863653998152e-01 100 2.38008881773972392e-01 100 2.38061115303516813e-01 100 2.38113564461153115e-01 100 2.38166229466075907e-01 100 2.38219110538145928e-01 100 2.38272207897883254e-01 100 2.38325521766458381e-01 100 2.38379052365687294e-01 100 2.38432799918022686e-01 100 2.38486764646547333e-01 100 2.38540946774966817e-01 100 2.38595346527602753e-01 100 2.38649964129384967e-01 100 2.38704799805844997e-01 100 2.38759853783108045e-01 100 2.38815126287886398e-01 100 2.38870617547471742e-01 100 2.38926327789726334e-01 100 2.38982257243080753e-01 100 2.39038406136520443e-01 100 2.39094774699581791e-01 100 2.39151363162345643e-01 100 2.39208171755429133e-01 100 2.39265200709980919e-01 100 2.39322450257671210e-01 100 2.39379920630687082e-01 100 2.39437612061725313e-01 100 2.39495524783984670e-01 100 2.39553659031159077e-01 100 2.39612015037430376e-01 100 2.39670593037461688e-01 100 2.39729393266390478e-01 100 2.39788415959821172e-01 100 2.39847661353818353e-01 100 2.39907129684900272e-01 100 2.39966821190031210e-01 100 2.40026736106615124e-01 100 2.40086874672488459e-01 100 2.40147237125913710e-01 100 2.40207823705571588e-01 100 2.40268634650555590e-01 100 2.40329670200363582e-01 100 2.40390930594132468e-01 100 2.40452416074968311e-01 100 2.40514126878974499e-01 100 2.40576063252046973e-01 100 2.40638225431159480e-01 100 2.40700613662123641e-01 100 2.40763228183185796e-01 100 2.40826069240923701e-01 100 2.40889137074498577e-01 100 2.40952431929925576e-01 100 2.41015954048120040e-01 100 2.41079703675039336e-01 100 2.41143681054152098e-01 100 2.41207886429537444e-01 100 2.41272320046247990e-01 100 2.41336982148997958e-01 100 2.41401872983759591e-01 100 2.41466992795836333e-01 100 2.41532341831417086e-01 100 2.41597920336371619e-01 100 2.41663728557080015e-01 100 2.41729766740133439e-01 100 2.41796035133120396e-01 100 2.41862533982773353e-01 100 2.41929263536579786e-01 100 2.41996224042290792e-01 100 2.42063415747795385e-01 100 2.42130838901194079e-01 100 2.42198493750814148e-01 100 2.42266380545192478e-01 100 2.42334499533063186e-01 100 2.42402850963352873e-01 100 2.42471435085174825e-01 100 2.42540252147822322e-01 100 2.42609302401573135e-01 100 2.42678586094991849e-01 100 2.42748103477648913e-01 100 2.42817854799837363e-01 100 2.42887840311852343e-01 100 2.42958060263913311e-01 100 2.43028514906354520e-01 100 2.43099204489673898e-01 100 2.43170129264502710e-01 100 2.43241289481584799e-01 100 2.43312685391772948e-01 100 2.43384317246024495e-01 100 2.43456185295393868e-01 100 2.43528289791027364e-01 100 2.43600630984156130e-01 100 2.43673209126090612e-01 100 2.43746024468213751e-01 100 2.43819077261975409e-01 100 2.43892367758885842e-01 100 2.43965896210509292e-01 100 2.44039662868458240e-01 100 2.44113667984387328e-01 100 2.44187911809986724e-01 100 2.44262394596976407e-01 100 2.44337116597100168e-01 100 2.44412078062119120e-01 100 2.44487279243805949e-01 100 2.44562720393938532e-01 100 2.44638401764294300e-01 100 2.44714323606644218e-01 100 2.44790486172745791e-01 100 2.44866889714338815e-01 100 2.44943534483137770e-01 100 2.45020420730827027e-01 100 2.45097548709054119e-01 100 2.45174918669424036e-01 100 2.45252530863493245e-01 100 2.45330385542798957e-01 100 2.45408482958727664e-01 100 2.45486823362632778e-01 100 2.45565407005807423e-01 100 2.45644234139470452e-01 100 2.45723305014769994e-01 100 2.45802619882795059e-01 100 2.45882178994494716e-01 100 2.45961982600719886e-01 100 2.46042030952214552e-01 100 2.46122324299609785e-01 100 2.46202862893440455e-01 100 2.46283646984077231e-01 100 2.46364676821771100e-01 100 2.46445952656639877e-01 100 2.46527474738660990e-01 100 2.46609243317664512e-01 100 2.46691258643326417e-01 100 2.46773520965164528e-01 100 2.46856030532531356e-01 100 2.46938787594608522e-01 100 2.47021792400401785e-01 100 2.47105045198734885e-01 100 2.47188546238244267e-01 100 2.47272295767373085e-01 100 2.47356294034365987e-01 100 2.47440541287263449e-01 100 2.47525037773896228e-01 100 2.47609783741880057e-01 100 2.47694779438610124e-01 100 2.47780025111255658e-01 100 2.47865521006754963e-01 100 2.47951267371808504e-01 100 2.48037264452874440e-01 100 2.48123512496161269e-01 100 2.48210011747624165e-01 100 2.48296762452956010e-01 100 2.48383764857584205e-01 100 2.48471019206664756e-01 100 2.48558525745078585e-01 100 2.48646284717425448e-01 100 2.48734296368020580e-01 100 2.48822560940887866e-01 100 2.48911078679754982e-01 100 2.48999849827021530e-01 100 2.49088874627307444e-01 100 2.49178153323414558e-01 100 2.49267686157450485e-01 100 2.49357473371427191e-01 100 2.49447515207217113e-01 100 2.49537811906357099e-01 100 2.49628363710007350e-01 100 2.49719170858980877e-01 100 2.49810233593748460e-01 100 2.49901552154427997e-01 100 2.49993126780443609e-01 100 2.50084957711095679e-01 100 2.50177045186192326e-01 100 2.50269389444488344e-01 100 2.50361990723797667e-01 100 2.50454849261875001e-01 100 2.50547965296258612e-01 100 2.50641339062373403e-01 100 2.50734970799871726e-01 100 2.50828860744248316e-01 100 2.50923009127200669e-01 100 2.51017416194158405e-01 100 2.51112082168626349e-01 100 2.51207007292404416e-01 100 2.51302191798616847e-01 100 2.51397635920298179e-01 100 2.51493339890675904e-01 100 2.51589303942654330e-01 100 2.51685528301499317e-01 100 2.51782013218846357e-01 100 2.51878758902740807e-01 100 2.51975765606783475e-01 100 2.52073033538066094e-01 100 2.52170562943796195e-01 100 2.52268354049210775e-01 100 2.52366407082866284e-01 100 2.52464722273280429e-01 100 2.52563299848632516e-01 100 2.52662140036650662e-01 100 2.52761243064546726e-01 100 2.52860609158999827e-01 100 2.52960238546177552e-01 100 2.53060131451740999e-01 100 2.53160288100837572e-01 100 2.53260708718091143e-01 100 2.53361393527598622e-01 100 2.53462342752925895e-01 100 2.53563556617103725e-01 100 2.53665035334826205e-01 100 2.53766779150240873e-01 100 2.53868788256563505e-01 100 2.53971062902664468e-01 100 2.54073603280039917e-01 100 2.54176409629718769e-01 100 2.54279482164285753e-01 100 2.54382821102427048e-01 100 2.54486426661889364e-01 100 2.54590299060062253e-01 100 2.54694438513855537e-01 100 2.54798845239582183e-01 100 2.54903519452922667e-01 100 2.55008461368958494e-01 100 2.55113671202182868e-01 100 2.55219149166491188e-01 100 2.55324895475172398e-01 100 2.55430910340903761e-01 100 2.55537193975749366e-01 100 2.55643746591155963e-01 100 2.55750568397948908e-01 100 2.55857659606328447e-01 100 2.55965020425866274e-01 100 2.56072651065500700e-01 100 2.56180551733533934e-01 100 2.56288722637627919e-01 100 2.56397163984800669e-01 100 2.56505875981423048e-01 100 2.56614858833214110e-01 100 2.56724112745238431e-01 100 2.56833637921902669e-01 100 2.56943434566950457e-01 100 2.57053502883460849e-01 100 2.57163843073843712e-01 100 2.57274455339836561e-01 100 2.57385339882500785e-01 100 2.57496496902218486e-01 100 2.57607926598689307e-01 100 2.57719629170926778e-01 100 2.57831604817255200e-01 100 2.57943853735305595e-01 100 2.58056376122013376e-01 100 2.58169172173615236e-01 100 2.58282242085644653e-01 100 2.58395586052930004e-01 100 2.58509204269590565e-01 100 2.58623096929034124e-01 100 2.58737264223953101e-01 100 2.58851706346321708e-01 100 2.58966423487393849e-01 100 2.59081415837698170e-01 100 2.59196683580160292e-01 100 2.59312226917282396e-01 100 2.59428046030999560e-01 100 2.59544141108660531e-01 100 2.59660512337242910e-01 100 2.59777159902800259e-01 100 2.59894083990761526e-01 100 2.60011284785792163e-01 100 2.60128762471758535e-01 100 2.60246517231775498e-01 100 2.60364549248216393e-01 100 2.60482858702700826e-01 100 2.60601445776085683e-01 100 2.60720310648462461e-01 100 2.60839453499157936e-01 100 2.60958874506730498e-01 100 2.61078573848968487e-01 100 2.61198551702887083e-01 100 2.61318808244725753e-01 100 2.61439343649946365e-01 100 2.61560158093230410e-01 100 2.61681251748476618e-01 100 2.61802624788799787e-01 100 2.61924277386526738e-01 100 2.62046209713195644e-01 100 2.62168421939552476e-01 100 2.62290914235550399e-01 100 2.62413686770346433e-01 100 2.62536739712299849e-01 100 2.62660073228969948e-01 100 2.62783687487114337e-01 100 2.62907582652686489e-01 100 2.63031758890834522e-01 100 2.63156216365898088e-01 100 2.63280955241408154e-01 100 2.63405975680083615e-01 100 2.63531277843830292e-01 100 2.63656861893738825e-01 100 2.63782727990083621e-01 100 2.63908876292320071e-01 100 2.64035306959083615e-01 100 2.64162020148188237e-01 100 2.64289016016624301e-01 100 2.64416294720557277e-01 100 2.64543856415326351e-01 100 2.64671701255442926e-01 100 2.64799829394589126e-01 100 2.64928240985615515e-01 100 2.65056936180542047e-01 100 2.65185915130554339e-01 100 2.65315177986003126e-01 100 2.65444724896403694e-01 100 2.65574556010434004e-01 100 2.65704671475933685e-01 100 2.65835071439902482e-01 100 2.65965756048500257e-01 100 2.66096725447044768e-01 100 2.66227979780011226e-01 100 2.66359519191031069e-01 100 2.66491343822891413e-01 100 2.66623453817533607e-01 100 2.66755849316052951e-01 100 2.66888530458697260e-01 100 2.67021497384866802e-01 100 2.67154750233112803e-01 100 2.67288289141137225e-01 100 2.67422114245792319e-01 100 2.67556225683079130e-01 100 2.67690623588148102e-01 100 2.67825308095297254e-01 100 2.67960279337973006e-01 100 2.68095537448768906e-01 100 2.68231082559425238e-01 100 2.68366914800829193e-01 100 2.68503034303013755e-01 100 2.68639441195158590e-01 100 2.68776135605588495e-01 100 2.68913117661773948e-01 100 2.69050387490331055e-01 100 2.69187945217021440e-01 100 2.69325790966751355e-01 100 2.69463924863573345e-01 100 2.69602347030684308e-01 100 2.69741057590426880e-01 100 2.69880056664289769e-01 100 2.70019344372906700e-01 100 2.70158920836057526e-01 100 2.70298786172668559e-01 100 2.70438940500812908e-01 100 2.70579383937709639e-01 100 2.70720116599726057e-01 100 2.70861138602376872e-01 100 2.71002450060325029e-01 100 2.71144051087382487e-01 100 2.71285941796510777e-01 100 2.71428122299820995e-01 100 2.71570592708575809e-01 100 2.71713353133189117e-01 100 2.71856403683226888e-01 100 2.71999744467408711e-01 100 2.72143375593608072e-01 100 2.72287297168853692e-01 100 2.72431509299330465e-01 100 2.72576012090380126e-01 100 2.72720805646502751e-01 100 2.72865890071357864e-01 100 2.73011265467765663e-01 100 2.73156931937708514e-01 100 2.73302889582331066e-01 100 2.73449138501943523e-01 100 2.73595678796021535e-01 100 2.73742510563208086e-01 100 2.73889633901315543e-01 100 2.74037048907326941e-01 100 2.74184755677396863e-01 100 2.74332754306854332e-01 100 2.74481044890203640e-01 100 2.74629627521127018e-01 100 2.74778502292485460e-01 100 2.74927669296321731e-01 100 2.75077128623861078e-01 100 2.75226880365514681e-01 100 2.75376924610880536e-01 100 2.75527261448746008e-01 100 2.75677890967090722e-01 100 2.75828813253087279e-01 100 2.75980028393105370e-01 100 2.76131536472712547e-01 100 2.76283337576677890e-01 100 2.76435431788973673e-01 100 2.76587819192778250e-01 100 2.76740499870478662e-01 100 2.76893473903673359e-01 100 2.77046741373174643e-01 100 2.77200302359011941e-01 100 2.77354156940434082e-01 100 2.77508305195912741e-01 100 2.77662747203144933e-01 100 2.77817483039056734e-01 100 2.77972512779805558e-01 100 2.78127836500783765e-01 100 2.78283454276622155e-01 100 2.78439366181192360e-01 100 2.78595572287611226e-01 100 2.78752072668243922e-01 100 2.78908867394706772e-01 100 2.79065956537871807e-01 100 2.79223340167869538e-01 100 2.79381018354093347e-01 100 2.79538991165202644e-01 100 2.79697258669126703e-01 100 2.79855820933069599e-01 100 2.80014678023512431e-01 100 2.80173830006218649e-01 100 2.80333276946237497e-01 100 2.80493018907908787e-01 100 2.80653055954866448e-01 100 2.80813388150042809e-01 100 2.80974015555674139e-01 100 2.81134938233303155e-01 100 2.81296156243785123e-01 100 2.81457669647291908e-01 100 2.81619478503316589e-01 100 2.81781582870677505e-01 100 2.81943982807524640e-01 100 2.82106678371342900e-01 100 2.82269669618958274e-01 100 2.82432956606541552e-01 100 2.82596539389614654e-01 100 2.82760418023055071e-01 100 2.82924592561101418e-01 100 2.83089063057358592e-01 100 2.83253829564802773e-01 100 2.83418892135788192e-01 100 2.83584250822050687e-01 100 2.83749905674715086e-01 100 2.83915856744300144e-01 100 2.84082104080724374e-01 100 2.84248647733312210e-01 100 2.84415487750799056e-01 100 2.84582624181338395e-01 100 2.84750057072508278e-01 100 2.84917786471315382e-01 100 2.85085812424202889e-01 100 2.85254134977057261e-01 100 2.85422754175212900e-01 100 2.85591670063460201e-01 100 2.85760882686050932e-01 100 2.85930392086703455e-01 100 2.86100198308608999e-01 100 2.86270301394436322e-01 100 2.86440701386335927e-01 100 2.86611398325949174e-01 100 2.86782392254412488e-01 100 2.86953683212379795e-01 100 2.87125271240033508e-01 100 2.87297156377095686e-01 100 2.87469338662830864e-01 100 2.87641818136044281e-01 100 2.87814594835083537e-01 100 2.87987668797844987e-01 100 2.88161040061782892e-01 100 2.88334708663917860e-01 100 2.88508674640847174e-01 100 2.88682938028753111e-01 100 2.88857498863412276e-01 100 2.89032357180203592e-01 100 2.89207513014115958e-01 100 2.89382966399759189e-01 100 2.89558717371369623e-01 100 2.89734765962820162e-01 100 2.89911112207628996e-01 100 2.90087756138967756e-01 100 2.90264697789670734e-01 100 2.90441937192243482e-01 100 2.90619474378872256e-01 100 2.90797309381432778e-01 100 2.90975442231499348e-01 100 2.91153872960354665e-01 100 2.91332601598998930e-01 100 2.91511628178158677e-01 100 2.91690952728297925e-01 100 2.91870575279626232e-01 100 2.92050495862109405e-01 100 2.92230714505479550e-01 100 2.92411231239244063e-01 100 2.92592046092696956e-01 100 2.92773159094928126e-01 100 2.92954570274833681e-01 100 2.93136279661126986e-01 100 2.93318287282348544e-01 100 2.93500593166877044e-01 100 2.93683197342939351e-01 100 2.93866099838622108e-01 100 2.94049300681881620e-01 100 2.94232799900556341e-01 100 2.94416597522376255e-01 100 2.94600693574975203e-01 100 2.94785088085901870e-01 100 2.94969781082631055e-01 100 2.95154772592575498e-01 100 2.95340062643096979e-01 100 2.95525651261518196e-01 100 2.95711538475135205e-01 100 2.95897724311228405e-01 100 2.96084208797074699e-01 100 2.96270991959960595e-01 100 2.96458073827193302e-01 100 2.96645454426113286e-01 100 2.96833133784107694e-01 100 2.97021111928620796e-01 100 2.97209388887169246e-01 100 2.97397964687352967e-01 100 2.97586839356868638e-01 100 2.97776012923522682e-01 100 2.97965485415244480e-01 100 2.98155256860099083e-01 100 2.98345327286300754e-01 100 2.98535696722227128e-01 100 2.98726365196431087e-01 100 2.98917332737656194e-01 100 2.99108599374848905e-01 100 2.99300165137173391e-01 100 2.99492030054025304e-01 100 2.99684194155045436e-01 100 2.99876657470133923e-01 100 3.00069420029465350e-01 100 3.00262481863502517e-01 100 3.00455843003010314e-01 100 3.00649503479071878e-01 100 3.00843463323101634e-01 100 3.01037722566861232e-01 100 3.01232281242474698e-01 100 3.01427139382442033e-01 100 3.01622297019655872e-01 100 3.01817754198948185e-01 100 3.02013510932336526e-01 100 3.02209567263023393e-01 100 3.02405923226149009e-01 100 3.02602578857554316e-01 100 3.02799534192741859e-01 100 3.02996789267693356e-01 100 3.03194344118971282e-01 100 3.03392198783713041e-01 100 3.03590353299600157e-01 100 3.03788807704870378e-01 100 3.03987562038342540e-01 100 3.04186616339437110e-01 100 3.04385970648191617e-01 100 3.04585625005275806e-01 100 3.04785579452010236e-01 100 3.04985834030382041e-01 100 3.05186388783062978e-01 100 3.05387243753426352e-01 100 3.05588398985564613e-01 100 3.05789854524306626e-01 100 3.05991610415236148e-01 100 3.06193666704707934e-01 100 3.06396023439867937e-01 100 3.06598680668668966e-01 100 3.06801638439890223e-01 100 3.07004896803155236e-01 100 3.07208455808949510e-01 100 3.07412315508640233e-01 100 3.07616475954493429e-01 100 3.07820937199693612e-01 100 3.08025699298361877e-01 100 3.08230762305575445e-01 100 3.08436126277386091e-01 100 3.08641791270839405e-01 100 3.08847757343994611e-01 100 3.09054024555942219e-01 100 3.09260592966825731e-01 100 3.09467462637860014e-01 100 3.09674633631350282e-01 100 3.09882106010714531e-01 100 3.10089879840500571e-01 100 3.10297955186408125e-01 100 3.10506332115308092e-01 100 3.10715010695262583e-01 100 3.10923990995546573e-01 100 3.11133273086666717e-01 100 3.11342857040383614e-01 100 3.11552742929731508e-01 100 3.11762930829040497e-01 100 3.11973420813955959e-01 100 3.12184212961460705e-01 100 3.12395307349896290e-01 100 3.12606704058983720e-01 100 3.12818403169845660e-01 100 3.13030404765027637e-01 100 3.13242708928520019e-01 100 3.13455315745779561e-01 100 3.13668225303751713e-01 100 3.13881437690892384e-01 100 3.14094952997190202e-01 100 3.14308771314189384e-01 100 3.14522892735011328e-01 100 3.14737317354378043e-01 100 3.14952045268633851e-01 100 3.15167076575769700e-01 100 3.15382411375444038e-01 100 3.15598049769008182e-01 100 3.15813991859527632e-01 100 3.16030237751806331e-01 100 3.16246787552410369e-01 100 3.16463641369690518e-01 100 3.16680799313807215e-01 100 3.16898261496753375e-01 100 3.17116028032378483e-01 100 3.17334099036413686e-01 100 3.17552474626494496e-01 100 3.17771154922186660e-01 100 3.17990140045009528e-01 100 3.18209430118460923e-01 100 3.18429025268042787e-01 100 3.18648925621284773e-01 100 3.18869131307770171e-01 100 3.19089642459160383e-01 100 3.19310459209220965e-01 100 3.19531581693846878e-01 100 3.19753010051087527e-01 100 3.19974744421173352e-01 100 3.20196784946540747e-01 100 3.20419131771858767e-01 100 3.20641785044055383e-01 100 3.20864744912342958e-01 100 3.21088011528245398e-01 100 3.21311585045624681e-01 100 3.21535465620707117e-01 100 3.21759653412110658e-01 100 3.21984148580872154e-01 100 3.22208951290473666e-01 100 3.22434061706870612e-01 100 3.22659479998519183e-01 100 3.22885206336403330e-01 100 3.23111240894063234e-01 100 3.23337583847623067e-01 100 3.23564235375819020e-01 100 3.23791195660024789e-01 100 3.24018464884287538e-01 100 3.24246043235350445e-01 100 3.24473930902682395e-01 100 3.24702128078507068e-01 100 3.24930634957832309e-01 100 3.25159451738479599e-01 100 3.25388578621112590e-01 100 3.25618015809267469e-01 100 3.25847763509382826e-01 100 3.26077821930829126e-01 100 3.26308191285938798e-01 100 3.26538871790037155e-01 100 3.26769863661471427e-01 100 3.27001167121643677e-01 100 3.27232782395039279e-01 100 3.27464709709259338e-01 100 3.27696949295051110e-01 100 3.27929501386340028e-01 100 3.28162366220261292e-01 100 3.28395544037190568e-01 100 3.28629035080776899e-01 100 3.28862839597973911e-01 100 3.29096957839073445e-01 100 3.29331390057736706e-01 100 3.29566136511028007e-01 100 3.29801197459446693e-01 100 3.30036573166960834e-01 100 3.30272263901040364e-01 100 3.30508269932690779e-01 100 3.30744591536485888e-01 100 3.30981228990602783e-01 100 3.31218182576855480e-01 100 3.31455452580729060e-01 100 3.31693039291414249e-01 100 3.31930943001842005e-01 100 3.32169164008718654e-01 100 3.32407702612561362e-01 100 3.32646559117731666e-01 100 3.32885733832473329e-01 100 3.33125227068946428e-01 100 3.33365039143264208e-01 100 3.33605170375528726e-01 100 3.33845621089867484e-01 100 3.34086391614469402e-01 100 3.34327482281623123e-01 100 3.34568893427751868e-01 100 3.34810625393452410e-01 100 3.35052678523532266e-01 100 3.35295053167046109e-01 100 3.35537749677335184e-01 100 3.35780768412064723e-01 100 3.36024109733262244e-01 100 3.36267774007356246e-01 100 3.36511761605215010e-01 100 3.36756072902185455e-01 100 3.37000708278132000e-01 100 3.37245668117477249e-01 100 3.37490952809240186e-01 100 3.37736562747076474e-01 100 3.37982498329319536e-01 100 3.38228759959019687e-01 100 3.38475348043984881e-01 100 3.38722262996822010e-01 100 3.38969505234977486e-01 100 3.39217075180778704e-01 100 3.39464973261475289e-01 100 3.39713199909280839e-01 100 3.39961755561414503e-01 100 3.40210640660143615e-01 100 3.40459855652826271e-01 100 3.40709400991952238e-01 100 3.40959277135187588e-01 100 3.41209484545417274e-01 100 3.41460023690787096e-01 100 3.41710895044748553e-01 100 3.41962099086101978e-01 100 3.42213636299039892e-01 100 3.42465507173181416e-01 100 3.42717712203643221e-01 100 3.42970251891063727e-01 100 3.43223126741649120e-01 100 3.43476337267220655e-01 100 3.43729883985258944e-01 100 3.43983767418950537e-01 100 3.44237988097232717e-01 100 3.44492546554838630e-01 100 3.44747443332344694e-01 100 3.45002678976215449e-01 100 3.45258254038850576e-01 100 3.45514169078630418e-01 100 3.45770424659964215e-01 100 3.46027021353335629e-01 100 3.46283959735349978e-01 100 3.46541240388782090e-01 100 3.46798863902623211e-01 100 3.47056830872128796e-01 100 3.47315141898866142e-01 100 3.47573797590762401e-01 100 3.47832798547687949e-01 100 3.48092145417434551e-01 100 3.48351838816949866e-01 100 3.48611879377143941e-01 100 3.48872267739234299e-01 100 3.49133004550526094e-01 100 3.49394090464613782e-01 100 3.49655526141985640e-01 100 3.49917312250030643e-01 100 3.50179449462972636e-01 100 3.50441938461907632e-01 9 enstrophy 1 c 4 0 0 6 4 time 1052 0 100 0.00000000000000000e+00 100 4.00000000000000008e-03 100 1.00000000000000002e-02 100 2.00000000000000004e-02 100 2.99999999999999989e-02 100 4.00000000000000008e-02 100 5.00000000000000028e-02 100 6.00000000000000047e-02 100 7.00000000000000067e-02 100 8.00000000000000017e-02 100 8.99999999999999967e-02 100 9.99999999999999917e-02 100 1.09999999999999987e-01 100 1.19999999999999982e-01 100 1.29999999999999977e-01 100 1.39999999999999986e-01 100 1.49999999999999994e-01 100 1.60000000000000003e-01 100 1.70000000000000012e-01 100 1.80000000000000021e-01 100 1.90000000000000030e-01 100 2.00000000000000039e-01 100 2.10000000000000048e-01 100 2.20000000000000057e-01 100 2.30000000000000066e-01 100 2.40000000000000074e-01 100 2.50000000000000056e-01 100 2.60000000000000064e-01 100 2.70000000000000073e-01 100 2.80000000000000082e-01 100 2.90000000000000091e-01 100 3.00000000000000100e-01 100 3.10000000000000109e-01 100 3.20000000000000118e-01 100 3.30000000000000127e-01 100 3.40000000000000135e-01 100 3.50000000000000144e-01 100 3.60000000000000153e-01 100 3.70000000000000162e-01 100 3.80000000000000171e-01 100 3.90000000000000180e-01 100 4.00000000000000189e-01 100 4.10000000000000198e-01 100 4.20000000000000207e-01 100 4.30000000000000215e-01 100 4.40000000000000224e-01 100 4.50000000000000233e-01 100 4.60000000000000242e-01 100 4.70000000000000251e-01 100 4.80000000000000260e-01 100 4.90000000000000269e-01 100 5.00000000000000222e-01 100 5.10000000000000231e-01 100 5.20000000000000240e-01 100 5.30000000000000249e-01 100 5.40000000000000258e-01 100 5.50000000000000266e-01 100 5.60000000000000275e-01 100 5.70000000000000284e-01 100 5.80000000000000293e-01 100 5.90000000000000302e-01 100 6.00000000000000311e-01 100 6.10000000000000320e-01 100 6.20000000000000329e-01 100 6.30000000000000338e-01 100 6.40000000000000346e-01 100 6.50000000000000355e-01 100 6.60000000000000364e-01 100 6.70000000000000373e-01 100 6.80000000000000382e-01 100 6.90000000000000391e-01 100 7.00000000000000400e-01 100 7.10000000000000409e-01 100 7.20000000000000417e-01 100 7.30000000000000426e-01 100 7.40000000000000435e-01 100 7.50000000000000444e-01 100 7.60000000000000453e-01 100 7.70000000000000462e-01 100 7.80000000000000471e-01 100 7.90000000000000480e-01 100 8.00000000000000488e-01 100 8.10000000000000497e-01 100 8.20000000000000506e-01 100 8.30000000000000515e-01 100 8.40000000000000524e-01 100 8.50000000000000533e-01 100 8.60000000000000542e-01 100 8.70000000000000551e-01 100 8.80000000000000560e-01 100 8.90000000000000568e-01 100 9.00000000000000577e-01 100 9.10000000000000586e-01 100 9.20000000000000595e-01 100 9.30000000000000604e-01 100 9.40000000000000613e-01 100 9.50000000000000622e-01 100 9.60000000000000631e-01 100 9.70000000000000639e-01 100 9.80000000000000648e-01 100 9.90000000000000657e-01 100 1.00000000000000067e+00 100 1.01000000000000068e+00 100 1.02000000000000068e+00 100 1.03000000000000069e+00 100 1.04000000000000070e+00 100 1.05000000000000071e+00 100 1.06000000000000072e+00 100 1.07000000000000073e+00 100 1.08000000000000074e+00 100 1.09000000000000075e+00 100 1.10000000000000075e+00 100 1.11000000000000076e+00 100 1.12000000000000077e+00 100 1.13000000000000078e+00 100 1.14000000000000079e+00 100 1.15000000000000080e+00 100 1.16000000000000081e+00 100 1.17000000000000082e+00 100 1.18000000000000083e+00 100 1.19000000000000083e+00 100 1.20000000000000084e+00 100 1.21000000000000085e+00 100 1.22000000000000086e+00 100 1.23000000000000087e+00 100 1.24000000000000088e+00 100 1.25000000000000089e+00 100 1.26000000000000090e+00 100 1.27000000000000091e+00 100 1.28000000000000091e+00 100 1.29000000000000092e+00 100 1.30000000000000093e+00 100 1.31000000000000094e+00 100 1.32000000000000095e+00 100 1.33000000000000096e+00 100 1.34000000000000097e+00 100 1.35000000000000098e+00 100 1.36000000000000099e+00 100 1.37000000000000099e+00 100 1.38000000000000100e+00 100 1.39000000000000101e+00 100 1.40000000000000102e+00 100 1.41000000000000103e+00 100 1.42000000000000104e+00 100 1.43000000000000105e+00 100 1.44000000000000106e+00 100 1.45000000000000107e+00 100 1.46000000000000107e+00 100 1.47000000000000108e+00 100 1.48000000000000109e+00 100 1.49000000000000110e+00 100 1.50000000000000111e+00 100 1.51000000000000112e+00 100 1.52000000000000113e+00 100 1.53000000000000114e+00 100 1.54000000000000115e+00 100 1.55000000000000115e+00 100 1.56000000000000116e+00 100 1.57000000000000117e+00 100 1.58000000000000118e+00 100 1.59000000000000119e+00 100 1.60000000000000120e+00 100 1.61000000000000121e+00 100 1.62000000000000122e+00 100 1.63000000000000123e+00 100 1.64000000000000123e+00 100 1.65000000000000124e+00 100 1.66000000000000125e+00 100 1.67000000000000126e+00 100 1.68000000000000127e+00 100 1.69000000000000128e+00 100 1.70000000000000129e+00 100 1.71000000000000130e+00 100 1.72000000000000131e+00 100 1.73000000000000131e+00 100 1.74000000000000132e+00 100 1.75000000000000133e+00 100 1.76000000000000134e+00 100 1.77000000000000135e+00 100 1.78000000000000136e+00 100 1.79000000000000137e+00 100 1.80000000000000138e+00 100 1.81000000000000139e+00 100 1.82000000000000139e+00 100 1.83000000000000140e+00 100 1.84000000000000141e+00 100 1.85000000000000142e+00 100 1.86000000000000143e+00 100 1.87000000000000144e+00 100 1.88000000000000145e+00 100 1.89000000000000146e+00 100 1.90000000000000147e+00 100 1.91000000000000147e+00 100 1.92000000000000148e+00 100 1.93000000000000149e+00 100 1.94000000000000150e+00 100 1.95000000000000151e+00 100 1.96000000000000152e+00 100 1.97000000000000153e+00 100 1.98000000000000154e+00 100 1.99000000000000155e+00 100 2.00000000000000133e+00 100 2.01000000000000112e+00 100 2.02000000000000091e+00 100 2.03000000000000069e+00 100 2.04000000000000048e+00 100 2.05000000000000027e+00 100 2.06000000000000005e+00 100 2.06999999999999984e+00 100 2.07999999999999963e+00 100 2.08999999999999941e+00 100 2.09999999999999920e+00 100 2.10999999999999899e+00 100 2.11999999999999877e+00 100 2.12999999999999856e+00 100 2.13999999999999835e+00 100 2.14999999999999813e+00 100 2.15999999999999792e+00 100 2.16999999999999771e+00 100 2.17999999999999750e+00 100 2.18999999999999728e+00 100 2.19999999999999707e+00 100 2.20999999999999686e+00 100 2.21999999999999664e+00 100 2.22999999999999643e+00 100 2.23999999999999622e+00 100 2.24999999999999600e+00 100 2.25999999999999579e+00 100 2.26999999999999558e+00 100 2.27999999999999536e+00 100 2.28999999999999515e+00 100 2.29999999999999494e+00 100 2.30999999999999472e+00 100 2.31999999999999451e+00 100 2.32999999999999430e+00 100 2.33999999999999408e+00 100 2.34999999999999387e+00 100 2.35999999999999366e+00 100 2.36999999999999345e+00 100 2.37999999999999323e+00 100 2.38999999999999302e+00 100 2.39999999999999281e+00 100 2.40999999999999259e+00 100 2.41999999999999238e+00 100 2.42999999999999217e+00 100 2.43999999999999195e+00 100 2.44999999999999174e+00 100 2.45999999999999153e+00 100 2.46999999999999131e+00 100 2.47999999999999110e+00 100 2.48999999999999089e+00 100 2.49999999999999067e+00 100 2.50999999999999046e+00 100 2.51999999999999025e+00 100 2.52999999999999003e+00 100 2.53999999999998982e+00 100 2.54999999999998961e+00 100 2.55999999999998940e+00 100 2.56999999999998918e+00 100 2.57999999999998897e+00 100 2.58999999999998876e+00 100 2.59999999999998854e+00 100 2.60999999999998833e+00 100 2.61999999999998812e+00 100 2.62999999999998790e+00 100 2.63999999999998769e+00 100 2.64999999999998748e+00 100 2.65999999999998726e+00 100 2.66999999999998705e+00 100 2.67999999999998684e+00 100 2.68999999999998662e+00 100 2.69999999999998641e+00 100 2.70999999999998620e+00 100 2.71999999999998598e+00 100 2.72999999999998577e+00 100 2.73999999999998556e+00 100 2.74999999999998535e+00 100 2.75999999999998513e+00 100 2.76999999999998492e+00 100 2.77999999999998471e+00 100 2.78999999999998449e+00 100 2.79999999999998428e+00 100 2.80999999999998407e+00 100 2.81999999999998385e+00 100 2.82999999999998364e+00 100 2.83999999999998343e+00 100 2.84999999999998321e+00 100 2.85999999999998300e+00 100 2.86999999999998279e+00 100 2.87999999999998257e+00 100 2.88999999999998236e+00 100 2.89999999999998215e+00 100 2.90999999999998193e+00 100 2.91999999999998172e+00 100 2.92999999999998151e+00 100 2.93999999999998129e+00 100 2.94999999999998108e+00 100 2.95999999999998087e+00 100 2.96999999999998066e+00 100 2.97999999999998044e+00 100 2.98999999999998023e+00 100 2.99999999999998002e+00 100 3.00999999999997980e+00 100 3.01999999999997959e+00 100 3.02999999999997938e+00 100 3.03999999999997916e+00 100 3.04999999999997895e+00 100 3.05999999999997874e+00 100 3.06999999999997852e+00 100 3.07999999999997831e+00 100 3.08999999999997810e+00 100 3.09999999999997788e+00 100 3.10999999999997767e+00 100 3.11999999999997746e+00 100 3.12999999999997724e+00 100 3.13999999999997703e+00 100 3.14999999999997682e+00 100 3.15999999999997661e+00 100 3.16999999999997639e+00 100 3.17999999999997618e+00 100 3.18999999999997597e+00 100 3.19999999999997575e+00 100 3.20999999999997554e+00 100 3.21999999999997533e+00 100 3.22999999999997511e+00 100 3.23999999999997490e+00 100 3.24999999999997469e+00 100 3.25999999999997447e+00 100 3.26999999999997426e+00 100 3.27999999999997405e+00 100 3.28999999999997383e+00 100 3.29999999999997362e+00 100 3.30999999999997341e+00 100 3.31999999999997319e+00 100 3.32999999999997298e+00 100 3.33999999999997277e+00 100 3.34999999999997256e+00 100 3.35999999999997234e+00 100 3.36999999999997213e+00 100 3.37999999999997192e+00 100 3.38999999999997170e+00 100 3.39999999999997149e+00 100 3.40999999999997128e+00 100 3.41999999999997106e+00 100 3.42999999999997085e+00 100 3.43999999999997064e+00 100 3.44999999999997042e+00 100 3.45999999999997021e+00 100 3.46999999999997000e+00 100 3.47999999999996978e+00 100 3.48999999999996957e+00 100 3.49999999999996936e+00 100 3.50999999999996914e+00 100 3.51999999999996893e+00 100 3.52999999999996872e+00 100 3.53999999999996851e+00 100 3.54999999999996829e+00 100 3.55999999999996808e+00 100 3.56999999999996787e+00 100 3.57999999999996765e+00 100 3.58999999999996744e+00 100 3.59999999999996723e+00 100 3.60999999999996701e+00 100 3.61999999999996680e+00 100 3.62999999999996659e+00 100 3.63999999999996637e+00 100 3.64999999999996616e+00 100 3.65999999999996595e+00 100 3.66999999999996573e+00 100 3.67999999999996552e+00 100 3.68999999999996531e+00 100 3.69999999999996509e+00 100 3.70999999999996488e+00 100 3.71999999999996467e+00 100 3.72999999999996446e+00 100 3.73999999999996424e+00 100 3.74999999999996403e+00 100 3.75999999999996382e+00 100 3.76999999999996360e+00 100 3.77999999999996339e+00 100 3.78999999999996318e+00 100 3.79999999999996296e+00 100 3.80999999999996275e+00 100 3.81999999999996254e+00 100 3.82999999999996232e+00 100 3.83999999999996211e+00 100 3.84999999999996190e+00 100 3.85999999999996168e+00 100 3.86999999999996147e+00 100 3.87999999999996126e+00 100 3.88999999999996104e+00 100 3.89999999999996083e+00 100 3.90999999999996062e+00 100 3.91999999999996041e+00 100 3.92999999999996019e+00 100 3.93999999999995998e+00 100 3.94999999999995977e+00 100 3.95999999999995955e+00 100 3.96999999999995934e+00 100 3.97999999999995913e+00 100 3.98999999999995891e+00 100 3.99999999999995870e+00 100 4.00999999999995893e+00 100 4.01999999999995872e+00 100 4.02999999999995850e+00 100 4.03999999999995829e+00 100 4.04999999999995808e+00 100 4.05999999999995786e+00 100 4.06999999999995765e+00 100 4.07999999999995744e+00 100 4.08999999999995723e+00 100 4.09999999999995701e+00 100 4.10999999999995680e+00 100 4.11999999999995659e+00 100 4.12999999999995637e+00 100 4.13999999999995616e+00 100 4.14999999999995595e+00 100 4.15999999999995573e+00 100 4.16999999999995552e+00 100 4.17999999999995531e+00 100 4.18999999999995509e+00 100 4.19999999999995488e+00 100 4.20999999999995467e+00 100 4.21999999999995445e+00 100 4.22999999999995424e+00 100 4.23999999999995403e+00 100 4.24999999999995381e+00 100 4.25999999999995360e+00 100 4.26999999999995339e+00 100 4.27999999999995318e+00 100 4.28999999999995296e+00 100 4.29999999999995275e+00 100 4.30999999999995254e+00 100 4.31999999999995232e+00 100 4.32999999999995211e+00 100 4.33999999999995190e+00 100 4.34999999999995168e+00 100 4.35999999999995147e+00 100 4.36999999999995126e+00 100 4.37999999999995104e+00 100 4.38999999999995083e+00 100 4.39999999999995062e+00 100 4.40999999999995040e+00 100 4.41999999999995019e+00 100 4.42999999999994998e+00 100 4.43999999999994976e+00 100 4.44999999999994955e+00 100 4.45999999999994934e+00 100 4.46999999999994913e+00 100 4.47999999999994891e+00 100 4.48999999999994870e+00 100 4.49999999999994849e+00 100 4.50999999999994827e+00 100 4.51999999999994806e+00 100 4.52999999999994785e+00 100 4.53999999999994763e+00 100 4.54999999999994742e+00 100 4.55999999999994721e+00 100 4.56999999999994699e+00 100 4.57999999999994678e+00 100 4.58999999999994657e+00 100 4.59999999999994635e+00 100 4.60999999999994614e+00 100 4.61999999999994593e+00 100 4.62999999999994571e+00 100 4.63999999999994550e+00 100 4.64999999999994529e+00 100 4.65999999999994508e+00 100 4.66999999999994486e+00 100 4.67999999999994465e+00 100 4.68999999999994444e+00 100 4.69999999999994422e+00 100 4.70999999999994401e+00 100 4.71999999999994380e+00 100 4.72999999999994358e+00 100 4.73999999999994337e+00 100 4.74999999999994316e+00 100 4.75999999999994294e+00 100 4.76999999999994273e+00 100 4.77999999999994252e+00 100 4.78999999999994230e+00 100 4.79999999999994209e+00 100 4.80999999999994188e+00 100 4.81999999999994166e+00 100 4.82999999999994145e+00 100 4.83999999999994124e+00 100 4.84999999999994102e+00 100 4.85999999999994081e+00 100 4.86999999999994060e+00 100 4.87999999999994039e+00 100 4.88999999999994017e+00 100 4.89999999999993996e+00 100 4.90999999999993975e+00 100 4.91999999999993953e+00 100 4.92999999999993932e+00 100 4.93999999999993911e+00 100 4.94999999999993889e+00 100 4.95999999999993868e+00 100 4.96999999999993847e+00 100 4.97999999999993825e+00 100 4.98999999999993804e+00 100 4.99999999999993783e+00 100 5.00999999999993761e+00 100 5.01999999999993740e+00 100 5.02999999999993719e+00 100 5.03999999999993697e+00 100 5.04999999999993676e+00 100 5.05999999999993655e+00 100 5.06999999999993634e+00 100 5.07999999999993612e+00 100 5.08999999999993591e+00 100 5.09999999999993570e+00 100 5.10999999999993548e+00 100 5.11999999999993527e+00 100 5.12999999999993506e+00 100 5.13999999999993484e+00 100 5.14999999999993463e+00 100 5.15999999999993442e+00 100 5.16999999999993420e+00 100 5.17999999999993399e+00 100 5.18999999999993378e+00 100 5.19999999999993356e+00 100 5.20999999999993335e+00 100 5.21999999999993314e+00 100 5.22999999999993292e+00 100 5.23999999999993271e+00 100 5.24999999999993250e+00 100 5.25999999999993229e+00 100 5.26999999999993207e+00 100 5.27999999999993186e+00 100 5.28999999999993165e+00 100 5.29999999999993143e+00 100 5.30999999999993122e+00 100 5.31999999999993101e+00 100 5.32999999999993079e+00 100 5.33999999999993058e+00 100 5.34999999999993037e+00 100 5.35999999999993015e+00 100 5.36999999999992994e+00 100 5.37999999999992973e+00 100 5.38999999999992951e+00 100 5.39999999999992930e+00 100 5.40999999999992909e+00 100 5.41999999999992887e+00 100 5.42999999999992866e+00 100 5.43999999999992845e+00 100 5.44999999999992824e+00 100 5.45999999999992802e+00 100 5.46999999999992781e+00 100 5.47999999999992760e+00 100 5.48999999999992738e+00 100 5.49999999999992717e+00 100 5.50999999999992696e+00 100 5.51999999999992674e+00 100 5.52999999999992653e+00 100 5.53999999999992632e+00 100 5.54999999999992610e+00 100 5.55999999999992589e+00 100 5.56999999999992568e+00 100 5.57999999999992546e+00 100 5.58999999999992525e+00 100 5.59999999999992504e+00 100 5.60999999999992482e+00 100 5.61999999999992461e+00 100 5.62999999999992440e+00 100 5.63999999999992419e+00 100 5.64999999999992397e+00 100 5.65999999999992376e+00 100 5.66999999999992355e+00 100 5.67999999999992333e+00 100 5.68999999999992312e+00 100 5.69999999999992291e+00 100 5.70999999999992269e+00 100 5.71999999999992248e+00 100 5.72999999999992227e+00 100 5.73999999999992205e+00 100 5.74999999999992184e+00 100 5.75999999999992163e+00 100 5.76999999999992141e+00 100 5.77999999999992120e+00 100 5.78999999999992099e+00 100 5.79999999999992077e+00 100 5.80999999999992056e+00 100 5.81999999999992035e+00 100 5.82999999999992013e+00 100 5.83999999999991992e+00 100 5.84999999999991971e+00 100 5.85999999999991950e+00 100 5.86999999999991928e+00 100 5.87999999999991907e+00 100 5.88999999999991886e+00 100 5.89999999999991864e+00 100 5.90999999999991843e+00 100 5.91999999999991822e+00 100 5.92999999999991800e+00 100 5.93999999999991779e+00 100 5.94999999999991758e+00 100 5.95999999999991736e+00 100 5.96999999999991715e+00 100 5.97999999999991694e+00 100 5.98999999999991672e+00 100 5.99999999999991651e+00 100 6.00999999999991630e+00 100 6.01999999999991608e+00 100 6.02999999999991587e+00 100 6.03999999999991566e+00 100 6.04999999999991545e+00 100 6.05999999999991523e+00 100 6.06999999999991502e+00 100 6.07999999999991481e+00 100 6.08999999999991459e+00 100 6.09999999999991438e+00 100 6.10999999999991417e+00 100 6.11999999999991395e+00 100 6.12999999999991374e+00 100 6.13999999999991353e+00 100 6.14999999999991331e+00 100 6.15999999999991310e+00 100 6.16999999999991289e+00 100 6.17999999999991267e+00 100 6.18999999999991246e+00 100 6.19999999999991225e+00 100 6.20999999999991203e+00 100 6.21999999999991182e+00 100 6.22999999999991161e+00 100 6.23999999999991140e+00 100 6.24999999999991118e+00 100 6.25999999999991097e+00 100 6.26999999999991076e+00 100 6.27999999999991054e+00 100 6.28999999999991033e+00 100 6.29999999999991012e+00 100 6.30999999999990990e+00 100 6.31999999999990969e+00 100 6.32999999999990948e+00 100 6.33999999999990926e+00 100 6.34999999999990905e+00 100 6.35999999999990884e+00 100 6.36999999999990862e+00 100 6.37999999999990841e+00 100 6.38999999999990820e+00 100 6.39999999999990798e+00 100 6.40999999999990777e+00 100 6.41999999999990756e+00 100 6.42999999999990735e+00 100 6.43999999999990713e+00 100 6.44999999999990692e+00 100 6.45999999999990671e+00 100 6.46999999999990649e+00 100 6.47999999999990628e+00 100 6.48999999999990607e+00 100 6.49999999999990585e+00 100 6.50999999999990564e+00 100 6.51999999999990543e+00 100 6.52999999999990521e+00 100 6.53999999999990500e+00 100 6.54999999999990479e+00 100 6.55999999999990457e+00 100 6.56999999999990436e+00 100 6.57999999999990415e+00 100 6.58999999999990393e+00 100 6.59999999999990372e+00 100 6.60999999999990351e+00 100 6.61999999999990330e+00 100 6.62999999999990308e+00 100 6.63999999999990287e+00 100 6.64999999999990266e+00 100 6.65999999999990244e+00 100 6.66999999999990223e+00 100 6.67999999999990202e+00 100 6.68999999999990180e+00 100 6.69999999999990159e+00 100 6.70999999999990138e+00 100 6.71999999999990116e+00 100 6.72999999999990095e+00 100 6.73999999999990074e+00 100 6.74999999999990052e+00 100 6.75999999999990031e+00 100 6.76999999999990010e+00 100 6.77999999999989988e+00 100 6.78999999999989967e+00 100 6.79999999999989946e+00 100 6.80999999999989925e+00 100 6.81999999999989903e+00 100 6.82999999999989882e+00 100 6.83999999999989861e+00 100 6.84999999999989839e+00 100 6.85999999999989818e+00 100 6.86999999999989797e+00 100 6.87999999999989775e+00 100 6.88999999999989754e+00 100 6.89999999999989733e+00 100 6.90999999999989711e+00 100 6.91999999999989690e+00 100 6.92999999999989669e+00 100 6.93999999999989647e+00 100 6.94999999999989626e+00 100 6.95999999999989605e+00 100 6.96999999999989583e+00 100 6.97999999999989562e+00 100 6.98999999999989541e+00 100 6.99999999999989519e+00 100 7.00999999999989498e+00 100 7.01999999999989477e+00 100 7.02999999999989456e+00 100 7.03999999999989434e+00 100 7.04999999999989413e+00 100 7.05999999999989392e+00 100 7.06999999999989370e+00 100 7.07999999999989349e+00 100 7.08999999999989328e+00 100 7.09999999999989306e+00 100 7.10999999999989285e+00 100 7.11999999999989264e+00 100 7.12999999999989242e+00 100 7.13999999999989221e+00 100 7.14999999999989200e+00 100 7.15999999999989178e+00 100 7.16999999999989157e+00 100 7.17999999999989136e+00 100 7.18999999999989114e+00 100 7.19999999999989093e+00 100 7.20999999999989072e+00 100 7.21999999999989051e+00 100 7.22999999999989029e+00 100 7.23999999999989008e+00 100 7.24999999999988987e+00 100 7.25999999999988965e+00 100 7.26999999999988944e+00 100 7.27999999999988923e+00 100 7.28999999999988901e+00 100 7.29999999999988880e+00 100 7.30999999999988859e+00 100 7.31999999999988837e+00 100 7.32999999999988816e+00 100 7.33999999999988795e+00 100 7.34999999999988773e+00 100 7.35999999999988752e+00 100 7.36999999999988731e+00 100 7.37999999999988709e+00 100 7.38999999999988688e+00 100 7.39999999999988667e+00 100 7.40999999999988646e+00 100 7.41999999999988624e+00 100 7.42999999999988603e+00 100 7.43999999999988582e+00 100 7.44999999999988560e+00 100 7.45999999999988539e+00 100 7.46999999999988518e+00 100 7.47999999999988496e+00 100 7.48999999999988475e+00 100 7.49999999999988454e+00 100 7.50999999999988432e+00 100 7.51999999999988411e+00 100 7.52999999999988390e+00 100 7.53999999999988368e+00 100 7.54999999999988347e+00 100 7.55999999999988326e+00 100 7.56999999999988304e+00 100 7.57999999999988283e+00 100 7.58999999999988262e+00 100 7.59999999999988241e+00 100 7.60999999999988219e+00 100 7.61999999999988198e+00 100 7.62999999999988177e+00 100 7.63999999999988155e+00 100 7.64999999999988134e+00 100 7.65999999999988113e+00 100 7.66999999999988091e+00 100 7.67999999999988070e+00 100 7.68999999999988049e+00 100 7.69999999999988027e+00 100 7.70999999999988006e+00 100 7.71999999999987985e+00 100 7.72999999999987963e+00 100 7.73999999999987942e+00 100 7.74999999999987921e+00 100 7.75999999999987899e+00 100 7.76999999999987878e+00 100 7.77999999999987857e+00 100 7.78999999999987836e+00 100 7.79999999999987814e+00 100 7.80999999999987793e+00 100 7.81999999999987772e+00 100 7.82999999999987750e+00 100 7.83999999999987729e+00 100 7.84999999999987708e+00 100 7.85999999999987686e+00 100 7.86999999999987665e+00 100 7.87999999999987644e+00 100 7.88999999999987622e+00 100 7.89999999999987601e+00 100 7.90999999999987580e+00 100 7.91999999999987558e+00 100 7.92999999999987537e+00 100 7.93999999999987516e+00 100 7.94999999999987494e+00 100 7.95999999999987473e+00 100 7.96999999999987452e+00 100 7.97999999999987430e+00 100 7.98999999999987409e+00 100 7.99999999999987388e+00 100 8.00999999999987367e+00 100 8.01999999999987345e+00 100 8.02999999999987324e+00 100 8.03999999999987303e+00 100 8.04999999999987281e+00 100 8.05999999999987260e+00 100 8.06999999999987239e+00 100 8.07999999999987217e+00 100 8.08999999999987196e+00 100 8.09999999999987175e+00 100 8.10999999999987153e+00 100 8.11999999999987132e+00 100 8.12999999999987111e+00 100 8.13999999999987089e+00 100 8.14999999999987068e+00 100 8.15999999999987047e+00 100 8.16999999999987025e+00 100 8.17999999999987004e+00 100 8.18999999999986983e+00 100 8.19999999999986962e+00 100 8.20999999999986940e+00 100 8.21999999999986919e+00 100 8.22999999999986898e+00 100 8.23999999999986876e+00 100 8.24999999999986855e+00 100 8.25999999999986834e+00 100 8.26999999999986812e+00 100 8.27999999999986791e+00 100 8.28999999999986770e+00 100 8.29999999999986748e+00 100 8.30999999999986727e+00 100 8.31999999999986706e+00 100 8.32999999999986684e+00 100 8.33999999999986663e+00 100 8.34999999999986642e+00 100 8.35999999999986620e+00 100 8.36999999999986599e+00 100 8.37999999999986578e+00 100 8.38999999999986557e+00 100 8.39999999999986535e+00 100 8.40999999999986514e+00 100 8.41999999999986493e+00 100 8.42999999999986471e+00 100 8.43999999999986450e+00 100 8.44999999999986429e+00 100 8.45999999999986407e+00 100 8.46999999999986386e+00 100 8.47999999999986365e+00 100 8.48999999999986343e+00 100 8.49999999999986322e+00 100 8.50999999999986301e+00 100 8.51999999999986279e+00 100 8.52999999999986258e+00 100 8.53999999999986237e+00 100 8.54999999999986215e+00 100 8.55999999999986194e+00 100 8.56999999999986173e+00 100 8.57999999999986152e+00 100 8.58999999999986130e+00 100 8.59999999999986109e+00 100 8.60999999999986088e+00 100 8.61999999999986066e+00 100 8.62999999999986045e+00 100 8.63999999999986024e+00 100 8.64999999999986002e+00 100 8.65999999999985981e+00 100 8.66999999999985960e+00 100 8.67999999999985938e+00 100 8.68999999999985917e+00 100 8.69999999999985896e+00 100 8.70999999999985874e+00 100 8.71999999999985853e+00 100 8.72999999999985832e+00 100 8.73999999999985810e+00 100 8.74999999999985789e+00 100 8.75999999999985768e+00 100 8.76999999999985747e+00 100 8.77999999999985725e+00 100 8.78999999999985704e+00 100 8.79999999999985683e+00 100 8.80999999999985661e+00 100 8.81999999999985640e+00 100 8.82999999999985619e+00 100 8.83999999999985597e+00 100 8.84999999999985576e+00 100 8.85999999999985555e+00 100 8.86999999999985533e+00 100 8.87999999999985512e+00 100 8.88999999999985491e+00 100 8.89999999999985469e+00 100 8.90999999999985448e+00 100 8.91999999999985427e+00 100 8.92999999999985405e+00 100 8.93999999999985384e+00 100 8.94999999999985363e+00 100 8.95999999999985342e+00 100 8.96999999999985320e+00 100 8.97999999999985299e+00 100 8.98999999999985278e+00 100 8.99999999999985256e+00 100 9.00999999999985235e+00 100 9.01999999999985214e+00 100 9.02999999999985192e+00 100 9.03999999999985171e+00 100 9.04999999999985150e+00 100 9.05999999999985128e+00 100 9.06999999999985107e+00 100 9.07999999999985086e+00 100 9.08999999999985064e+00 100 9.09999999999985043e+00 100 9.10999999999985022e+00 100 9.11999999999985000e+00 100 9.12999999999984979e+00 100 9.13999999999984958e+00 100 9.14999999999984936e+00 100 9.15999999999984915e+00 100 9.16999999999984894e+00 100 9.17999999999984873e+00 100 9.18999999999984851e+00 100 9.19999999999984830e+00 100 9.20999999999984809e+00 100 9.21999999999984787e+00 100 9.22999999999984766e+00 100 9.23999999999984745e+00 100 9.24999999999984723e+00 100 9.25999999999984702e+00 100 9.26999999999984681e+00 100 9.27999999999984659e+00 100 9.28999999999984638e+00 100 9.29999999999984617e+00 100 9.30999999999984595e+00 100 9.31999999999984574e+00 100 9.32999999999984553e+00 100 9.33999999999984531e+00 100 9.34999999999984510e+00 100 9.35999999999984489e+00 100 9.36999999999984468e+00 100 9.37999999999984446e+00 100 9.38999999999984425e+00 100 9.39999999999984404e+00 100 9.40999999999984382e+00 100 9.41999999999984361e+00 100 9.42999999999984340e+00 100 9.43999999999984318e+00 100 9.44999999999984297e+00 100 9.45999999999984276e+00 100 9.46999999999984254e+00 100 9.47999999999984233e+00 100 9.48999999999984212e+00 100 9.49999999999984190e+00 100 9.50999999999984169e+00 100 9.51999999999984148e+00 100 9.52999999999984126e+00 100 9.53999999999984105e+00 100 9.54999999999984084e+00 100 9.55999999999984063e+00 100 9.56999999999984041e+00 100 9.57999999999984020e+00 100 9.58999999999983999e+00 100 9.59999999999983977e+00 100 9.60999999999983956e+00 100 9.61999999999983935e+00 100 9.62999999999983913e+00 100 9.63999999999983892e+00 100 9.64999999999983871e+00 100 9.65999999999983849e+00 100 9.66999999999983828e+00 100 9.67999999999983807e+00 100 9.68999999999983785e+00 100 9.69999999999983764e+00 100 9.70999999999983743e+00 100 9.71999999999983721e+00 100 9.72999999999983700e+00 100 9.73999999999983679e+00 100 9.74999999999983658e+00 100 9.75999999999983636e+00 100 9.76999999999983615e+00 100 9.77999999999983594e+00 100 9.78999999999983572e+00 100 9.79999999999983551e+00 100 9.80999999999983530e+00 100 9.81999999999983508e+00 100 9.82999999999983487e+00 100 9.83999999999983466e+00 100 9.84999999999983444e+00 100 9.85999999999983423e+00 100 9.86999999999983402e+00 100 9.87999999999983380e+00 100 9.88999999999983359e+00 100 9.89999999999983338e+00 100 9.90999999999983316e+00 100 9.91999999999983295e+00 100 9.92999999999983274e+00 100 9.93999999999983253e+00 100 9.94999999999983231e+00 100 9.95999999999983210e+00 100 9.96999999999983189e+00 100 9.97999999999983167e+00 100 9.98999999999983146e+00 100 9.99999999999983125e+00 100 1.00099999999998310e+01 100 1.00199999999998308e+01 100 1.00299999999998306e+01 100 1.00399999999998304e+01 100 1.00499999999998302e+01 100 1.00599999999998300e+01 100 1.00699999999998298e+01 100 1.00799999999998295e+01 100 1.00899999999998293e+01 100 1.00999999999998291e+01 100 1.01099999999998289e+01 100 1.01199999999998287e+01 100 1.01299999999998285e+01 100 1.01399999999998283e+01 100 1.01499999999998280e+01 100 1.01599999999998278e+01 100 1.01699999999998276e+01 100 1.01799999999998274e+01 100 1.01899999999998272e+01 100 1.01999999999998270e+01 100 1.02099999999998268e+01 100 1.02199999999998266e+01 100 1.02299999999998263e+01 100 1.02399999999998261e+01 100 1.02499999999998259e+01 100 1.02599999999998257e+01 100 1.02699999999998255e+01 100 1.02799999999998253e+01 100 1.02899999999998251e+01 100 1.02999999999998249e+01 100 1.03099999999998246e+01 100 1.03199999999998244e+01 100 1.03299999999998242e+01 100 1.03399999999998240e+01 100 1.03499999999998238e+01 100 1.03599999999998236e+01 100 1.03699999999998234e+01 100 1.03799999999998231e+01 100 1.03899999999998229e+01 100 1.03999999999998227e+01 100 1.04099999999998225e+01 100 1.04199999999998223e+01 100 1.04299999999998221e+01 100 1.04399999999998219e+01 100 1.04499999999998217e+01 100 1.04599999999998214e+01 100 1.04699999999998212e+01 100 1.04799999999998210e+01 100 1.04899999999998208e+01 100 1.04999999999998206e+01 4 time 1 c 4 0 0 7 0 0 0 0 0 0 0 0 0 0 0 + 0 diff --git a/applications_tests/lethe-fluid-matrix-free/turbulent_taylor_couette_restart/kinetic_energy.checkpoint b/applications_tests/lethe-fluid-matrix-free/turbulent_taylor_couette_restart/kinetic_energy.checkpoint new file mode 100644 index 0000000000..849a000ffc --- /dev/null +++ b/applications_tests/lethe-fluid-matrix-free/turbulent_taylor_couette_restart/kinetic_energy.checkpoint @@ -0,0 +1,2 @@ +0 0 0 0 2 0 4 time 14 kinetic-energy 0 0 2 0 0 0 14 kinetic-energy 0 0 0 0 1052 0 0 0 100 2.66441757303802068e-02 100 2.64596494254886044e-02 100 2.64581992202841537e-02 100 2.64578841083986799e-02 100 2.64576634191029496e-02 100 2.64574589619993375e-02 100 2.64572648499934032e-02 100 2.64570748641438508e-02 100 2.64568856234908903e-02 100 2.64566965001995849e-02 100 2.64565074085462149e-02 100 2.64563182825477174e-02 100 2.64561290703323529e-02 100 2.64559397447372280e-02 100 2.64557502949132953e-02 100 2.64555607172500783e-02 100 2.64553710105268416e-02 100 2.64551811740662626e-02 100 2.64549912072424322e-02 100 2.64548011094323868e-02 100 2.64546108800528118e-02 100 2.64544205185831965e-02 100 2.64542300245676903e-02 100 2.64540393976058844e-02 100 2.64538486373411819e-02 100 2.64536577434505045e-02 100 2.64534667156362327e-02 100 2.64532755536200995e-02 100 2.64530842571385552e-02 100 2.64528928259391977e-02 100 2.64527012597779165e-02 100 2.64525095584166765e-02 100 2.64523177216216959e-02 100 2.64521257491619408e-02 100 2.64519336408080633e-02 100 2.64517413963312846e-02 100 2.64515490155027601e-02 100 2.64513564980928192e-02 100 2.64511638438706051e-02 100 2.64509710526034947e-02 100 2.64507781240568771e-02 100 2.64505850579938584e-02 100 2.64503918541749983e-02 100 2.64501985123581466e-02 100 2.64500050322983779e-02 100 2.64498114137477029e-02 100 2.64496176564551488e-02 100 2.64494237601665960e-02 100 2.64492297246246982e-02 100 2.64490355495688792e-02 100 2.64488412347352736e-02 100 2.64486467798566958e-02 100 2.64484521846626228e-02 100 2.64482574488791311e-02 100 2.64480625722289669e-02 100 2.64478675544314069e-02 100 2.64476723952023554e-02 100 2.64474770942543166e-02 100 2.64472816512963081e-02 100 2.64470860660339681e-02 100 2.64468903381694966e-02 100 2.64466944674015894e-02 100 2.64464984534255772e-02 100 2.64463022959332966e-02 100 2.64461059946131116e-02 100 2.64459095491500311e-02 100 2.64457129592254869e-02 100 2.64455162245175041e-02 100 2.64453193447007177e-02 100 2.64451223194462071e-02 100 2.64449251484216510e-02 100 2.64447278312912627e-02 100 2.64445303677157718e-02 100 2.64443327573524976e-02 100 2.64441349998552414e-02 100 2.64439370948743868e-02 100 2.64437390420568554e-02 100 2.64435408410460676e-02 100 2.64433424914820719e-02 100 2.64431439930013640e-02 100 2.64429453452369942e-02 100 2.64427465478186026e-02 100 2.64425476003723216e-02 100 2.64423485025208661e-02 100 2.64421492538834402e-02 100 2.64419498540758371e-02 100 2.64417503027103394e-02 100 2.64415505993958466e-02 100 2.64413507437377023e-02 100 2.64411507353378671e-02 100 2.64409505737948324e-02 100 2.64407502587035922e-02 100 2.64405497896557234e-02 100 2.64403491662393159e-02 100 2.64401483880390489e-02 100 2.64399474546360910e-02 100 2.64397463656081966e-02 100 2.64395451205296506e-02 100 2.64393437189712650e-02 100 2.64391421605004520e-02 100 2.64389404446811020e-02 100 2.64387385710737090e-02 100 2.64385365392353043e-02 100 2.64383343487194153e-02 100 2.64381319990761865e-02 100 2.64379294898523347e-02 100 2.64377268205910343e-02 100 2.64375239908320701e-02 100 2.64373210001117923e-02 100 2.64371178479630917e-02 100 2.64369145339153760e-02 100 2.64367110574946773e-02 100 2.64365074182235371e-02 100 2.64363036156210762e-02 100 2.64360996492029737e-02 100 2.64358955184814531e-02 100 2.64356912229653275e-02 100 2.64354867621599265e-02 100 2.64352821355671938e-02 100 2.64350773426856103e-02 100 2.64348723830102258e-02 100 2.64346672560326693e-02 100 2.64344619612411208e-02 100 2.64342564981203433e-02 100 2.64340508661516510e-02 100 2.64338450648129511e-02 100 2.64336390935787195e-02 100 2.64334329519199801e-02 100 2.64332266393112261e-02 100 2.64330201552129482e-02 100 2.64328134990836072e-02 100 2.64326066703799711e-02 100 2.64323996685558241e-02 100 2.64321924930616091e-02 100 2.64319851433444178e-02 100 2.64317776188478792e-02 100 2.64315699190122745e-02 100 2.64313620432744742e-02 100 2.64311539910678760e-02 100 2.64309457618225399e-02 100 2.64307373549650705e-02 100 2.64305287699186688e-02 100 2.64303200061031564e-02 100 2.64301110629349238e-02 100 2.64299019398269754e-02 100 2.64296926361888909e-02 100 2.64294831514268747e-02 100 2.64292734849437064e-02 100 2.64290636361387832e-02 100 2.64288536044080952e-02 100 2.64286433891442671e-02 100 2.64284329897364785e-02 100 2.64282224055705714e-02 100 2.64280116360289530e-02 100 2.64278006804906894e-02 100 2.64275895383313982e-02 100 2.64273782089233661e-02 100 2.64271666916354453e-02 100 2.64269549858331607e-02 100 2.64267430908786197e-02 100 2.64265310061305783e-02 100 2.64263187309443613e-02 100 2.64261062646719627e-02 100 2.64258936066619939e-02 100 2.64256807562597076e-02 100 2.64254677128069361e-02 100 2.64252544756422118e-02 100 2.64250410441006015e-02 100 2.64248274175139380e-02 100 2.64246135952105471e-02 100 2.64243995765155205e-02 100 2.64241853607504844e-02 100 2.64239709472337582e-02 100 2.64237563352803309e-02 100 2.64235415242017532e-02 100 2.64233265133062764e-02 100 2.64231113018988106e-02 100 2.64228958892808730e-02 100 2.64226802747506845e-02 100 2.64224644576030419e-02 100 2.64222484371294739e-02 100 2.64220322126181503e-02 100 2.64218157833538345e-02 100 2.64215991486180385e-02 100 2.64213823076888711e-02 100 2.64211652598411520e-02 100 2.64209480043463146e-02 100 2.64207305404725278e-02 100 2.64205128674845600e-02 100 2.64202949846438946e-02 100 2.64200768912086770e-02 100 2.64198585864337254e-02 100 2.64196400695705345e-02 100 2.64194213398672856e-02 100 2.64192023965688569e-02 100 2.64189832389167337e-02 100 2.64187638661492023e-02 100 2.64185442775011214e-02 100 2.64183244722041612e-02 100 2.64181044494865604e-02 100 2.64178842085733140e-02 100 2.64176637486861141e-02 100 2.64174430690433393e-02 100 2.64172221688600828e-02 100 2.64170010473481244e-02 100 2.64167797037159063e-02 100 2.64165581371686789e-02 100 2.64163363469083062e-02 100 2.64161143321333808e-02 100 2.64158920920393031e-02 100 2.64156696258180113e-02 100 2.64154469326583277e-02 100 2.64152240117456992e-02 100 2.64150008622623042e-02 100 2.64147774833871016e-02 100 2.64145538742956987e-02 100 2.64143300341604659e-02 100 2.64141059621505296e-02 100 2.64138816574317238e-02 100 2.64136571191665726e-02 100 2.64134323465144219e-02 100 2.64132073386313046e-02 100 2.64129820946700199e-02 100 2.64127566137800605e-02 100 2.64125308951077518e-02 100 2.64123049377960814e-02 100 2.64120787409848588e-02 100 2.64118523038105804e-02 100 2.64116256254065540e-02 100 2.64113987049028193e-02 100 2.64111715414261823e-02 100 2.64109441341001984e-02 100 2.64107164820452239e-02 100 2.64104885843783402e-02 100 2.64102604402134435e-02 100 2.64100320486611584e-02 100 2.64098034088289177e-02 100 2.64095745198209032e-02 100 2.64093453807381223e-02 100 2.64091159906783141e-02 100 2.64088863487360395e-02 100 2.64086564540026297e-02 100 2.64084263055662134e-02 100 2.64081959025117032e-02 100 2.64079652439208126e-02 100 2.64077343288720776e-02 100 2.64075031564407897e-02 100 2.64072717256990941e-02 100 2.64070400357158744e-02 100 2.64068080855568918e-02 100 2.64065758742846983e-02 100 2.64063434009586193e-02 100 2.64061106646348541e-02 100 2.64058776643663999e-02 100 2.64056443992030515e-02 100 2.64054108681914708e-02 100 2.64051770703751104e-02 100 2.64049430047942693e-02 100 2.64047086704860962e-02 100 2.64044740664845269e-02 100 2.64042391918203750e-02 100 2.64040040455212968e-02 100 2.64037686266117497e-02 100 2.64035329341131032e-02 100 2.64032969670352190e-02 100 2.64030607243985332e-02 100 2.64028242052168176e-02 100 2.64025874084994269e-02 100 2.64023503332522363e-02 100 2.64021129784777799e-02 100 2.64018753431754030e-02 100 2.64016374263413289e-02 100 2.64013992269686512e-02 100 2.64011607440472612e-02 100 2.64009219765640492e-02 100 2.64006829235026406e-02 100 2.64004435838436670e-02 100 2.64002039565645642e-02 100 2.63999640406397118e-02 100 2.63997238350403285e-02 100 2.63994833387345626e-02 100 2.63992425506874434e-02 100 2.63990014698609020e-02 100 2.63987600952137677e-02 100 2.63985184257017752e-02 100 2.63982764602775852e-02 100 2.63980341978907462e-02 100 2.63977916374877157e-02 100 2.63975487780118701e-02 100 2.63973056184035465e-02 100 2.63970621575999251e-02 100 2.63968183945351639e-02 100 2.63965743281403681e-02 100 2.63963299573435096e-02 100 2.63960852810695562e-02 100 2.63958402982403424e-02 100 2.63955950077747123e-02 100 2.63953494085884185e-02 100 2.63951034995941469e-02 100 2.63948572797015613e-02 100 2.63946107478172445e-02 100 2.63943639028447405e-02 100 2.63941167436845849e-02 100 2.63938692692342082e-02 100 2.63936214783880504e-02 100 2.63933733700375192e-02 100 2.63931249430709586e-02 100 2.63928761963737012e-02 100 2.63926271288280473e-02 100 2.63923777393132719e-02 100 2.63921280267056385e-02 100 2.63918779898784026e-02 100 2.63916276277017560e-02 100 2.63913769390429244e-02 100 2.63911259227661080e-02 100 2.63908745777324816e-02 100 2.63906229028002363e-02 100 2.63903708968245623e-02 100 2.63901185586575826e-02 100 2.63898658871485614e-02 100 2.63896128811436231e-02 100 2.63893595394859917e-02 100 2.63891058610158588e-02 100 2.63888518445704670e-02 100 2.63885974889840509e-02 100 2.63883427930879100e-02 100 2.63880877557103599e-02 100 2.63878323756767327e-02 100 2.63875766518094149e-02 100 2.63873205829278333e-02 100 2.63870641678484313e-02 100 2.63868074053847448e-02 100 2.63865502943472843e-02 100 2.63862928335436772e-02 100 2.63860350217785394e-02 100 2.63857768578535795e-02 100 2.63855183405675361e-02 100 2.63852594687162441e-02 100 2.63850002410925613e-02 100 2.63847406564863933e-02 100 2.63844807136847589e-02 100 2.63842204114717420e-02 100 2.63839597486284702e-02 100 2.63836987239331570e-02 100 2.63834373361611085e-02 100 2.63831755840846956e-02 100 2.63829134664733921e-02 100 2.63826509820937263e-02 100 2.63823881296843324e-02 100 2.63821249080452222e-02 100 2.63818613158924992e-02 100 2.63815973520303143e-02 100 2.63813330151677836e-02 100 2.63810683040966269e-02 100 2.63808032175173388e-02 100 2.63805377542209243e-02 100 2.63802719129012687e-02 100 2.63800056923425008e-02 100 2.63797390912346719e-02 100 2.63794721083282571e-02 100 2.63792047423469199e-02 100 2.63789369920199128e-02 100 2.63786688560749133e-02 100 2.63784003332298150e-02 100 2.63781314222016824e-02 100 2.63778621217099010e-02 100 2.63775924304642875e-02 100 2.63773223471745755e-02 100 2.63770518705481391e-02 100 2.63767809992839358e-02 100 2.63765097320845174e-02 100 2.63762380676492922e-02 100 2.63759660046735955e-02 100 2.63756935418494182e-02 100 2.63754206778658053e-02 100 2.63751474114089432e-02 100 2.63748737411622219e-02 100 2.63745996658061796e-02 100 2.63743251840185683e-02 100 2.63740502944742744e-02 100 2.63737749958454087e-02 100 2.63734992868012164e-02 100 2.63732231660060677e-02 100 2.63729466321237262e-02 100 2.63726696838164458e-02 100 2.63723923197430286e-02 100 2.63721145385588003e-02 100 2.63718363389160854e-02 100 2.63715577194644814e-02 100 2.63712786788509318e-02 100 2.63709992157195525e-02 100 2.63707193287116837e-02 100 2.63704390164658728e-02 100 2.63701582776178570e-02 100 2.63698771108006776e-02 100 2.63695955146445102e-02 100 2.63693134877768520e-02 100 2.63690310288223900e-02 100 2.63687481364030668e-02 100 2.63684648091380286e-02 100 2.63681810456437536e-02 100 2.63678968445338613e-02 100 2.63676122044193169e-02 100 2.63673271239082754e-02 100 2.63670416016061823e-02 100 2.63667556361157317e-02 100 2.63664692260368871e-02 100 2.63661823699668750e-02 100 2.63658950665001945e-02 100 2.63656073142286181e-02 100 2.63653191117411909e-02 100 2.63650304576242486e-02 100 2.63647413504613931e-02 100 2.63644517888335372e-02 100 2.63641617713188288e-02 100 2.63638712964927649e-02 100 2.63635803629281226e-02 100 2.63632889691949451e-02 100 2.63629971138606006e-02 100 2.63627047954896575e-02 100 2.63624120126442901e-02 100 2.63621187638838558e-02 100 2.63618250477649779e-02 100 2.63615308628416187e-02 100 2.63612362076650029e-02 100 2.63609410807835107e-02 100 2.63606454807431001e-02 100 2.63603494060869678e-02 100 2.63600528553556944e-02 100 2.63597558270871508e-02 100 2.63594583198165089e-02 100 2.63591603320763729e-02 100 2.63588618623967416e-02 100 2.63585629093048487e-02 100 2.63582634713253258e-02 100 2.63579635469801642e-02 100 2.63576631347886871e-02 100 2.63573622332676123e-02 100 2.63570608409309723e-02 100 2.63567589562902355e-02 100 2.63564565778541780e-02 100 2.63561537041289776e-02 100 2.63558503336181957e-02 100 2.63555464648227711e-02 100 2.63552420962410161e-02 100 2.63549372263686375e-02 100 2.63546318536987123e-02 100 2.63543259767217569e-02 100 2.63540195939256511e-02 100 2.63537127037956724e-02 100 2.63534053048145207e-02 100 2.63530973954622938e-02 100 2.63527889742165566e-02 100 2.63524800395521994e-02 100 2.63521705899416106e-02 100 2.63518606238545838e-02 100 2.63515501397583000e-02 100 2.63512391361174630e-02 100 2.63509276113940774e-02 100 2.63506155640476879e-02 100 2.63503029925351989e-02 100 2.63499898953109893e-02 100 2.63496762708268564e-02 100 2.63493621175343376e-02 100 2.63490474338794189e-02 100 2.63487322183051861e-02 100 2.63484164692527473e-02 100 2.63481001851610594e-02 100 2.63477833644667411e-02 100 2.63474660056038507e-02 100 2.63471481070038302e-02 100 2.63468296670956309e-02 100 2.63465106843056886e-02 100 2.63461911570579063e-02 100 2.63458710837762705e-02 100 2.63455504628786960e-02 100 2.63452292927769671e-02 100 2.63449075718793432e-02 100 2.63445852986009671e-02 100 2.63442624713537688e-02 100 2.63439390885452339e-02 100 2.63436151485762736e-02 100 2.63432906498487357e-02 100 2.63429655907631635e-02 100 2.63426399697123947e-02 100 2.63423137850947106e-02 100 2.63419870352998228e-02 100 2.63416597187157153e-02 100 2.63413318337305039e-02 100 2.63410033787291227e-02 100 2.63406743520931338e-02 100 2.63403447522015458e-02 100 2.63400145774124635e-02 100 2.63396838261256601e-02 100 2.63393524966947651e-02 100 2.63390205875107253e-02 100 2.63386880969188261e-02 100 2.63383550232882332e-02 100 2.63380213649855276e-02 100 2.63376871203716001e-02 100 2.63373522878037822e-02 100 2.63370168656369003e-02 100 2.63366808522233452e-02 100 2.63363442459130619e-02 100 2.63360070450535805e-02 100 2.63356692479899540e-02 100 2.63353308530648936e-02 100 2.63349918586186678e-02 100 2.63346522629891791e-02 100 2.63343120645118667e-02 100 2.63339712615198590e-02 100 2.63336298523438421e-02 100 2.63332878352848243e-02 100 2.63329452087105176e-02 100 2.63326019709108419e-02 100 2.63322581202437081e-02 100 2.63319136549916843e-02 100 2.63315685734812968e-02 100 2.63312228740323478e-02 100 2.63308765549581450e-02 100 2.63305296145685194e-02 100 2.63301820511706933e-02 100 2.63298338630693976e-02 100 2.63294850485669141e-02 100 2.63291356059632137e-02 100 2.63287855335559047e-02 100 2.63284348296402154e-02 100 2.63280834925090843e-02 100 2.63277315204531043e-02 100 2.63273789117605232e-02 100 2.63270256647172643e-02 100 2.63266717776069713e-02 100 2.63263172487109010e-02 100 2.63259620763080376e-02 100 2.63256062586750376e-02 100 2.63252497940862605e-02 100 2.63248926808137447e-02 100 2.63245349171272319e-02 100 2.63241765012941602e-02 100 2.63238174315796707e-02 100 2.63234577062466217e-02 100 2.63230973235555575e-02 100 2.63227362817647706e-02 100 2.63223745791302324e-02 100 2.63220122139056489e-02 100 2.63216491843424709e-02 100 2.63212854886898315e-02 100 2.63209211251946296e-02 100 2.63205560921014985e-02 100 2.63201903876527400e-02 100 2.63198240100884703e-02 100 2.63194569576465434e-02 100 2.63190892285624957e-02 100 2.63187208210696848e-02 100 2.63183517333991507e-02 100 2.63179819637797650e-02 100 2.63176115104380715e-02 100 2.63172403715984451e-02 100 2.63168685454829784e-02 100 2.63164960303115605e-02 100 2.63161228243018151e-02 100 2.63157489256691940e-02 100 2.63153743326268209e-02 100 2.63149990433659345e-02 100 2.63146230561067604e-02 100 2.63142463690619090e-02 100 2.63138689804370482e-02 100 2.63134908884347304e-02 100 2.63131120912551281e-02 100 2.63127325870960195e-02 100 2.63123523741529246e-02 100 2.63119714506191496e-02 100 2.63115898146858360e-02 100 2.63112074645418803e-02 100 2.63108243983740039e-02 100 2.63104406143667632e-02 100 2.63100561107025219e-02 100 2.63096708855614404e-02 100 2.63092849371215215e-02 100 2.63088982635586097e-02 100 2.63085108630463291e-02 100 2.63081227337561840e-02 100 2.63077338738574931e-02 100 2.63073442815173683e-02 100 2.63069539549008261e-02 100 2.63065628921706970e-02 100 2.63061710914876713e-02 100 2.63057785510102324e-02 100 2.63053852688947820e-02 100 2.63049912432955363e-02 100 2.63045964723645428e-02 100 2.63042009542517677e-02 100 2.63038046871049980e-02 100 2.63034076690698629e-02 100 2.63030098982899134e-02 100 2.63026113729065078e-02 100 2.63022120910589227e-02 100 2.63018120508842768e-02 100 2.63014112505175757e-02 100 2.63010096880916915e-02 100 2.63006073617374075e-02 100 2.63002042695833216e-02 100 2.62998004097559912e-02 100 2.62993957803798195e-02 100 2.62989903795770932e-02 100 2.62985842054680036e-02 100 2.62981772561706670e-02 100 2.62977695298010315e-02 100 2.62973610244729705e-02 100 2.62969517382982861e-02 100 2.62965416693866638e-02 100 2.62961308158456523e-02 100 2.62957191757807671e-02 100 2.62953067472954070e-02 100 2.62948935284908862e-02 100 2.62944795174664195e-02 100 2.62940647123191679e-02 100 2.62936491111441378e-02 100 2.62932327120343617e-02 100 2.62928155130807070e-02 100 2.62923975123719941e-02 100 2.62919787079949896e-02 100 2.62915590980343193e-02 100 2.62911386805726455e-02 100 2.62907174536904376e-02 100 2.62902954154661944e-02 100 2.62898725639763124e-02 100 2.62894488972950924e-02 100 2.62890244134948575e-02 100 2.62885991106457870e-02 100 2.62881729868160163e-02 100 2.62877460400716689e-02 100 2.62873182684767656e-02 100 2.62868896700933080e-02 100 2.62864602429812230e-02 100 2.62860299851983698e-02 100 2.62855988948006020e-02 100 2.62851669698416987e-02 100 2.62847342083733990e-02 100 2.62843006084453670e-02 100 2.62838661681052896e-02 100 2.62834308853987370e-02 100 2.62829947583693053e-02 100 2.62825577850584885e-02 100 2.62821199635057921e-02 100 2.62816812917486681e-02 100 2.62812417678225108e-02 100 2.62808013897606954e-02 100 2.62803601555945780e-02 100 2.62799180633534503e-02 100 2.62794751110645916e-02 100 2.62790312967532691e-02 100 2.62785866184426856e-02 100 2.62781410741540176e-02 100 2.62776946619064332e-02 100 2.62772473797170496e-02 100 2.62767992256010066e-02 100 2.62763501975713451e-02 100 2.62759002936391282e-02 100 2.62754495118133896e-02 100 2.62749978501011228e-02 100 2.62745453065073263e-02 100 2.62740918790349276e-02 100 2.62736375656849111e-02 100 2.62731823644561449e-02 100 2.62727262733455438e-02 100 2.62722692903479653e-02 100 2.62718114134563065e-02 100 2.62713526406613412e-02 100 2.62708929699518937e-02 100 2.62704323993147720e-02 100 2.62699709267347412e-02 100 2.62695085501945570e-02 100 2.62690452676749425e-02 100 2.62685810771546117e-02 100 2.62681159766102630e-02 100 2.62676499640165720e-02 100 2.62671830373461916e-02 100 2.62667151945697487e-02 100 2.62662464336558682e-02 100 2.62657767525711384e-02 100 2.62653061492801321e-02 100 2.62648346217453955e-02 100 2.62643621679274908e-02 100 2.62638887857848911e-02 100 2.62634144732740923e-02 100 2.62629392283495744e-02 100 2.62624630489637530e-02 100 2.62619859330670800e-02 100 2.62615078786079051e-02 100 2.62610288835326174e-02 100 2.62605489457855522e-02 100 2.62600680633090222e-02 100 2.62595862340433278e-02 100 2.62591034559266773e-02 100 2.62586197268953256e-02 100 2.62581350448834842e-02 100 2.62576494078232622e-02 100 2.62571628136448049e-02 100 2.62566752602762243e-02 100 2.62561867456435546e-02 100 2.62556972676708106e-02 100 2.62552068242799634e-02 100 2.62547154133909652e-02 100 2.62542230329216933e-02 100 2.62537296807879919e-02 100 2.62532353549036618e-02 100 2.62527400531804671e-02 100 2.62522437735281076e-02 100 2.62517465138542329e-02 100 2.62512482720644452e-02 100 2.62507490460622862e-02 100 2.62502488337492297e-02 100 2.62497476330247129e-02 100 2.62492454417861051e-02 100 2.62487422579286978e-02 100 2.62482380793457176e-02 100 2.62477329039283447e-02 100 2.62472267295656252e-02 100 2.62467195541446277e-02 100 2.62462113755502768e-02 100 2.62457021916654223e-02 100 2.62451920003708289e-02 100 2.62446807995452142e-02 100 2.62441685870651795e-02 100 2.62436553608052167e-02 100 2.62431411186377500e-02 100 2.62426258584331218e-02 100 2.62421095780595130e-02 100 2.62415922753830612e-02 100 2.62410739482677804e-02 100 2.62405545945755478e-02 100 2.62400342121661481e-02 100 2.62395127988972535e-02 100 2.62389903526244091e-02 100 2.62384668712010161e-02 100 2.62379423524783661e-02 100 2.62374167943056139e-02 100 2.62368901945297592e-02 100 2.62363625509957100e-02 100 2.62358338615461643e-02 100 2.62353041240217244e-02 100 2.62347733362607860e-02 100 2.62342414960996390e-02 100 2.62337086013723943e-02 100 2.62331746499109633e-02 100 2.62326396395451480e-02 100 2.62321035681025092e-02 100 2.62315664334084701e-02 100 2.62310282332862410e-02 100 2.62304889655568807e-02 100 2.62299486280392069e-02 100 2.62294072185498342e-02 100 2.62288647349031706e-02 100 2.62283211749113898e-02 100 2.62277765363844069e-02 100 2.62272308171299026e-02 100 2.62266840149532852e-02 100 2.62261361276577495e-02 100 2.62255871530442074e-02 100 2.62250370889114404e-02 100 2.62244859330559091e-02 100 2.62239336832719161e-02 100 2.62233803373514568e-02 100 2.62228258930842853e-02 100 2.62222703482578590e-02 100 2.62217137006573522e-02 100 2.62211559480656636e-02 100 2.62205970882633393e-02 100 2.62200371190286913e-02 100 2.62194760381376166e-02 100 2.62189138433637503e-02 100 2.62183505324784065e-02 100 2.62177861032505087e-02 100 2.62172205534466907e-02 100 2.62166538808311714e-02 100 2.62160860831658626e-02 100 2.62155171582102997e-02 100 2.62149471037216100e-02 100 2.62143759174545514e-02 100 2.62138035971615155e-02 100 2.62132301405924584e-02 100 2.62126555454949353e-02 100 2.62120798096141180e-02 100 2.62115029306926942e-02 100 2.62109249064709574e-02 100 2.62103457346867311e-02 100 2.62097654130754171e-02 100 2.62091839393699330e-02 100 2.62086013113007402e-02 100 2.62080175265958087e-02 100 2.62074325829805971e-02 100 2.62068464781781210e-02 100 2.62062592099088290e-02 100 2.62056707758906854e-02 100 2.62050811738391114e-02 100 2.62044904014669955e-02 100 2.62038984564846728e-02 100 2.62033053365999073e-02 100 2.62027110395179064e-02 100 2.62021155629412889e-02 100 2.62015189045701063e-02 100 2.62009210621017632e-02 100 2.62003220332310792e-02 100 2.61997218156502336e-02 100 2.61991204070487725e-02 100 2.61985178051136261e-02 100 2.61979140075289940e-02 100 2.61973090119764600e-02 100 2.61967028161349258e-02 100 2.61960954176805594e-02 100 2.61954868142868502e-02 100 2.61948770036245573e-02 100 2.61942659833616850e-02 100 2.61936537511635557e-02 100 2.61930403046926434e-02 100 2.61924256416087194e-02 100 2.61918097595687516e-02 100 2.61911926562269116e-02 100 2.61905743292345332e-02 100 2.61899547762401638e-02 100 2.61893339948894785e-02 100 2.61887119828253211e-02 100 2.61880887376876592e-02 100 2.61874642571135879e-02 100 2.61868385387372879e-02 100 2.61862115801900497e-02 100 2.61855833791002357e-02 100 2.61849539330932420e-02 100 2.61843232397915571e-02 100 2.61836912968146582e-02 100 2.61830581017790526e-02 100 2.61824236522982430e-02 100 2.61817879459827277e-02 100 2.61811509804399482e-02 100 2.61805127532743209e-02 100 2.61798732620872020e-02 100 2.61792325044768182e-02 100 2.61785904780437069e-02 100 2.61779471803758254e-02 100 2.61773026090611968e-02 100 2.61766567616851242e-02 100 2.61760096358301282e-02 100 2.61753612290755930e-02 100 2.61747115389976900e-02 100 2.61740605631694129e-02 100 2.61734082991605041e-02 100 2.61727547445374693e-02 100 2.61720998968635044e-02 100 2.61714437536985853e-02 100 2.61707863125993090e-02 100 2.61701275711189833e-02 100 2.61694675268075334e-02 100 2.61688061772115191e-02 100 2.61681435198741624e-02 100 2.61674795523352127e-02 100 2.61668142721310296e-02 100 2.61661476767945100e-02 100 2.61654797638550679e-02 100 2.61648105308386787e-02 100 2.61641399752677584e-02 100 2.61634680946612151e-02 100 2.61627948865343941e-02 100 2.61621203483990809e-02 100 2.61614444777634389e-02 100 2.61607672721320683e-02 100 2.61600887290058884e-02 100 2.61594088458821511e-02 100 2.61587276202544378e-02 100 2.61580450496126590e-02 100 2.61573611314429300e-02 100 2.61566758632276776e-02 100 2.61559892424455126e-02 100 2.61553012665712431e-02 100 2.61546119330758955e-02 100 2.61539212394266002e-02 100 2.61532291830866674e-02 100 2.61525357615154386e-02 100 2.61518409721684456e-02 100 2.61511448124971506e-02 100 2.61504472799491197e-02 100 2.61497483719679222e-02 100 2.61490480859930714e-02 100 2.61483464194600702e-02 100 2.61476433698003274e-02 100 2.61469389344411440e-02 100 2.61462331108057305e-02 100 2.61455258963131133e-02 100 2.61448172883781346e-02 100 2.61441072844114837e-02 100 2.61433958818195582e-02 100 2.61426830780045263e-02 100 2.61419688703642301e-02 100 2.61412532562922684e-02 100 2.61405362331778024e-02 100 2.61398177984057123e-02 100 2.61390979493564130e-02 100 2.61383766834059061e-02 100 2.61376539979257631e-02 100 2.61369298902830068e-02 100 2.61362043578401912e-02 100 2.61354773979553083e-02 100 2.61347490079817703e-02 100 2.61340191852683784e-02 100 2.61332879271592572e-02 100 2.61325552309939584e-02 100 2.61318210941072181e-02 100 2.61310855138291165e-02 100 2.61303484874849494e-02 100 2.61296100123952144e-02 100 2.61288700858755239e-02 100 2.61281287052367237e-02 100 2.61273858677847221e-02 100 2.61266415708204872e-02 100 2.61258958116400535e-02 100 2.61251485875344039e-02 100 2.61243998957895809e-02 100 2.61236497336864923e-02 100 2.61228980985009976e-02 100 2.61221449875037870e-02 100 2.61213903979603985e-02 100 2.61206343271312008e-02 100 2.61198767722712749e-02 100 2.61191177306304770e-02 100 2.61183571994532959e-02 100 2.61175951759789540e-02 100 2.61168316574412196e-02 100 2.61160666410685145e-02 100 2.61153001240837374e-02 100 2.61145321037043535e-02 100 2.61137625771422667e-02 100 2.61129915416038125e-02 100 2.61122189942897681e-02 100 2.61114449323952037e-02 100 2.61106693531095446e-02 100 2.61098922536164707e-02 100 2.61091136310939442e-02 100 2.61083334827141161e-02 100 2.61075518056432601e-02 100 2.61067685970418246e-02 100 2.61059838540643012e-02 100 2.61051975738592415e-02 100 2.61044097535691848e-02 100 2.61036203903306438e-02 100 2.61028294812740355e-02 100 2.61020370235236707e-02 100 2.61012430141976670e-02 100 2.61004474504079355e-02 100 2.60996503292601698e-02 100 2.60988516478537283e-02 100 2.60980514032816691e-02 100 2.60972495926306350e-02 100 2.60964462129808852e-02 100 2.60956412614061738e-02 100 2.60948347349737320e-02 100 2.60940266307442860e-02 100 2.60932169457719146e-02 100 2.60924056771041010e-02 100 2.60915928217815320e-02 100 2.60907783768382848e-02 100 2.60899623393015638e-02 100 2.60891447061917733e-02 100 2.60883254745224308e-02 100 2.60875046413001285e-02 100 2.60866822035245027e-02 100 2.60858581581881674e-02 100 2.60850325022766345e-02 100 2.60842052327683177e-02 100 2.60833763466345181e-02 100 2.60825458408392233e-02 100 2.60817137123392634e-02 100 2.60808799580840821e-02 100 2.60800445750157782e-02 100 2.60792075600690607e-02 100 2.60783689101711583e-02 100 2.60775286222417989e-02 100 2.60766866931931122e-02 100 2.60758431199296682e-02 100 2.60749978993483240e-02 100 2.60741510283382452e-02 100 2.60733025037808049e-02 100 2.60724523225495802e-02 100 2.60716004815102487e-02 100 2.60707469775205564e-02 100 2.60698918074302698e-02 100 2.60690349680811478e-02 100 2.60681764563068033e-02 100 2.60673162689327720e-02 100 2.60664544027763012e-02 100 2.60655908546464747e-02 100 2.60647256213439975e-02 100 2.60638586996612479e-02 100 2.60629900863821595e-02 100 2.60621197782821903e-02 100 2.60612477721282702e-02 100 2.60603740646787214e-02 100 2.60594986526832238e-02 100 2.60586215328827454e-02 100 2.60577427020095183e-02 100 2.60568621567868926e-02 100 2.60559798939293680e-02 100 2.60550959101424895e-02 100 2.60542102021228336e-02 100 2.60533227665578730e-02 100 2.60524336001259696e-02 100 2.60515426994962877e-02 100 2.60506500613288117e-02 100 2.60497556822741477e-02 100 2.60488595589735521e-02 100 2.60479616880589099e-02 100 2.60470620661525237e-02 100 2.60461606898672177e-02 100 2.60452575558061776e-02 100 2.60443526605628993e-02 100 2.60434460007211363e-02 100 2.60425375728548722e-02 100 2.60416273735281853e-02 100 2.60407153992952348e-02 100 2.60398016467001600e-02 100 2.60388861122770668e-02 100 2.60379687925499440e-02 100 2.60370496840325732e-02 100 2.60361287832284044e-02 100 2.60352060866306419e-02 100 2.60342815907220644e-02 100 2.60333552919749904e-02 100 2.60324271868512050e-02 100 2.60314972718018942e-02 100 2.60305655432676274e-02 100 2.60296319976781598e-02 100 2.60286966314525053e-02 100 2.60277594409987663e-02 100 2.60268204227141475e-02 100 2.60258795729847760e-02 100 2.60249368881857630e-02 100 2.60239923646810381e-02 100 2.60230459988233034e-02 100 2.60220977869539891e-02 100 2.60211477254031071e-02 100 2.60201958104892897e-02 100 2.60192420385196438e-02 100 2.60182864057843521e-02 100 2.60173289085707804e-02 100 2.60163695431524858e-02 100 2.60154083057900845e-02 100 2.60144451927320081e-02 100 2.60134802002147877e-02 100 2.60125133244629436e-02 100 2.60115445616888596e-02 100 2.60105739080927212e-02 100 2.60096013598624665e-02 100 2.60086269131737068e-02 14 kinetic-energy 1 c 4 0 0 6 4 time 1052 0 100 0.00000000000000000e+00 100 4.00000000000000008e-03 100 1.00000000000000002e-02 100 2.00000000000000004e-02 100 2.99999999999999989e-02 100 4.00000000000000008e-02 100 5.00000000000000028e-02 100 6.00000000000000047e-02 100 7.00000000000000067e-02 100 8.00000000000000017e-02 100 8.99999999999999967e-02 100 9.99999999999999917e-02 100 1.09999999999999987e-01 100 1.19999999999999982e-01 100 1.29999999999999977e-01 100 1.39999999999999986e-01 100 1.49999999999999994e-01 100 1.60000000000000003e-01 100 1.70000000000000012e-01 100 1.80000000000000021e-01 100 1.90000000000000030e-01 100 2.00000000000000039e-01 100 2.10000000000000048e-01 100 2.20000000000000057e-01 100 2.30000000000000066e-01 100 2.40000000000000074e-01 100 2.50000000000000056e-01 100 2.60000000000000064e-01 100 2.70000000000000073e-01 100 2.80000000000000082e-01 100 2.90000000000000091e-01 100 3.00000000000000100e-01 100 3.10000000000000109e-01 100 3.20000000000000118e-01 100 3.30000000000000127e-01 100 3.40000000000000135e-01 100 3.50000000000000144e-01 100 3.60000000000000153e-01 100 3.70000000000000162e-01 100 3.80000000000000171e-01 100 3.90000000000000180e-01 100 4.00000000000000189e-01 100 4.10000000000000198e-01 100 4.20000000000000207e-01 100 4.30000000000000215e-01 100 4.40000000000000224e-01 100 4.50000000000000233e-01 100 4.60000000000000242e-01 100 4.70000000000000251e-01 100 4.80000000000000260e-01 100 4.90000000000000269e-01 100 5.00000000000000222e-01 100 5.10000000000000231e-01 100 5.20000000000000240e-01 100 5.30000000000000249e-01 100 5.40000000000000258e-01 100 5.50000000000000266e-01 100 5.60000000000000275e-01 100 5.70000000000000284e-01 100 5.80000000000000293e-01 100 5.90000000000000302e-01 100 6.00000000000000311e-01 100 6.10000000000000320e-01 100 6.20000000000000329e-01 100 6.30000000000000338e-01 100 6.40000000000000346e-01 100 6.50000000000000355e-01 100 6.60000000000000364e-01 100 6.70000000000000373e-01 100 6.80000000000000382e-01 100 6.90000000000000391e-01 100 7.00000000000000400e-01 100 7.10000000000000409e-01 100 7.20000000000000417e-01 100 7.30000000000000426e-01 100 7.40000000000000435e-01 100 7.50000000000000444e-01 100 7.60000000000000453e-01 100 7.70000000000000462e-01 100 7.80000000000000471e-01 100 7.90000000000000480e-01 100 8.00000000000000488e-01 100 8.10000000000000497e-01 100 8.20000000000000506e-01 100 8.30000000000000515e-01 100 8.40000000000000524e-01 100 8.50000000000000533e-01 100 8.60000000000000542e-01 100 8.70000000000000551e-01 100 8.80000000000000560e-01 100 8.90000000000000568e-01 100 9.00000000000000577e-01 100 9.10000000000000586e-01 100 9.20000000000000595e-01 100 9.30000000000000604e-01 100 9.40000000000000613e-01 100 9.50000000000000622e-01 100 9.60000000000000631e-01 100 9.70000000000000639e-01 100 9.80000000000000648e-01 100 9.90000000000000657e-01 100 1.00000000000000067e+00 100 1.01000000000000068e+00 100 1.02000000000000068e+00 100 1.03000000000000069e+00 100 1.04000000000000070e+00 100 1.05000000000000071e+00 100 1.06000000000000072e+00 100 1.07000000000000073e+00 100 1.08000000000000074e+00 100 1.09000000000000075e+00 100 1.10000000000000075e+00 100 1.11000000000000076e+00 100 1.12000000000000077e+00 100 1.13000000000000078e+00 100 1.14000000000000079e+00 100 1.15000000000000080e+00 100 1.16000000000000081e+00 100 1.17000000000000082e+00 100 1.18000000000000083e+00 100 1.19000000000000083e+00 100 1.20000000000000084e+00 100 1.21000000000000085e+00 100 1.22000000000000086e+00 100 1.23000000000000087e+00 100 1.24000000000000088e+00 100 1.25000000000000089e+00 100 1.26000000000000090e+00 100 1.27000000000000091e+00 100 1.28000000000000091e+00 100 1.29000000000000092e+00 100 1.30000000000000093e+00 100 1.31000000000000094e+00 100 1.32000000000000095e+00 100 1.33000000000000096e+00 100 1.34000000000000097e+00 100 1.35000000000000098e+00 100 1.36000000000000099e+00 100 1.37000000000000099e+00 100 1.38000000000000100e+00 100 1.39000000000000101e+00 100 1.40000000000000102e+00 100 1.41000000000000103e+00 100 1.42000000000000104e+00 100 1.43000000000000105e+00 100 1.44000000000000106e+00 100 1.45000000000000107e+00 100 1.46000000000000107e+00 100 1.47000000000000108e+00 100 1.48000000000000109e+00 100 1.49000000000000110e+00 100 1.50000000000000111e+00 100 1.51000000000000112e+00 100 1.52000000000000113e+00 100 1.53000000000000114e+00 100 1.54000000000000115e+00 100 1.55000000000000115e+00 100 1.56000000000000116e+00 100 1.57000000000000117e+00 100 1.58000000000000118e+00 100 1.59000000000000119e+00 100 1.60000000000000120e+00 100 1.61000000000000121e+00 100 1.62000000000000122e+00 100 1.63000000000000123e+00 100 1.64000000000000123e+00 100 1.65000000000000124e+00 100 1.66000000000000125e+00 100 1.67000000000000126e+00 100 1.68000000000000127e+00 100 1.69000000000000128e+00 100 1.70000000000000129e+00 100 1.71000000000000130e+00 100 1.72000000000000131e+00 100 1.73000000000000131e+00 100 1.74000000000000132e+00 100 1.75000000000000133e+00 100 1.76000000000000134e+00 100 1.77000000000000135e+00 100 1.78000000000000136e+00 100 1.79000000000000137e+00 100 1.80000000000000138e+00 100 1.81000000000000139e+00 100 1.82000000000000139e+00 100 1.83000000000000140e+00 100 1.84000000000000141e+00 100 1.85000000000000142e+00 100 1.86000000000000143e+00 100 1.87000000000000144e+00 100 1.88000000000000145e+00 100 1.89000000000000146e+00 100 1.90000000000000147e+00 100 1.91000000000000147e+00 100 1.92000000000000148e+00 100 1.93000000000000149e+00 100 1.94000000000000150e+00 100 1.95000000000000151e+00 100 1.96000000000000152e+00 100 1.97000000000000153e+00 100 1.98000000000000154e+00 100 1.99000000000000155e+00 100 2.00000000000000133e+00 100 2.01000000000000112e+00 100 2.02000000000000091e+00 100 2.03000000000000069e+00 100 2.04000000000000048e+00 100 2.05000000000000027e+00 100 2.06000000000000005e+00 100 2.06999999999999984e+00 100 2.07999999999999963e+00 100 2.08999999999999941e+00 100 2.09999999999999920e+00 100 2.10999999999999899e+00 100 2.11999999999999877e+00 100 2.12999999999999856e+00 100 2.13999999999999835e+00 100 2.14999999999999813e+00 100 2.15999999999999792e+00 100 2.16999999999999771e+00 100 2.17999999999999750e+00 100 2.18999999999999728e+00 100 2.19999999999999707e+00 100 2.20999999999999686e+00 100 2.21999999999999664e+00 100 2.22999999999999643e+00 100 2.23999999999999622e+00 100 2.24999999999999600e+00 100 2.25999999999999579e+00 100 2.26999999999999558e+00 100 2.27999999999999536e+00 100 2.28999999999999515e+00 100 2.29999999999999494e+00 100 2.30999999999999472e+00 100 2.31999999999999451e+00 100 2.32999999999999430e+00 100 2.33999999999999408e+00 100 2.34999999999999387e+00 100 2.35999999999999366e+00 100 2.36999999999999345e+00 100 2.37999999999999323e+00 100 2.38999999999999302e+00 100 2.39999999999999281e+00 100 2.40999999999999259e+00 100 2.41999999999999238e+00 100 2.42999999999999217e+00 100 2.43999999999999195e+00 100 2.44999999999999174e+00 100 2.45999999999999153e+00 100 2.46999999999999131e+00 100 2.47999999999999110e+00 100 2.48999999999999089e+00 100 2.49999999999999067e+00 100 2.50999999999999046e+00 100 2.51999999999999025e+00 100 2.52999999999999003e+00 100 2.53999999999998982e+00 100 2.54999999999998961e+00 100 2.55999999999998940e+00 100 2.56999999999998918e+00 100 2.57999999999998897e+00 100 2.58999999999998876e+00 100 2.59999999999998854e+00 100 2.60999999999998833e+00 100 2.61999999999998812e+00 100 2.62999999999998790e+00 100 2.63999999999998769e+00 100 2.64999999999998748e+00 100 2.65999999999998726e+00 100 2.66999999999998705e+00 100 2.67999999999998684e+00 100 2.68999999999998662e+00 100 2.69999999999998641e+00 100 2.70999999999998620e+00 100 2.71999999999998598e+00 100 2.72999999999998577e+00 100 2.73999999999998556e+00 100 2.74999999999998535e+00 100 2.75999999999998513e+00 100 2.76999999999998492e+00 100 2.77999999999998471e+00 100 2.78999999999998449e+00 100 2.79999999999998428e+00 100 2.80999999999998407e+00 100 2.81999999999998385e+00 100 2.82999999999998364e+00 100 2.83999999999998343e+00 100 2.84999999999998321e+00 100 2.85999999999998300e+00 100 2.86999999999998279e+00 100 2.87999999999998257e+00 100 2.88999999999998236e+00 100 2.89999999999998215e+00 100 2.90999999999998193e+00 100 2.91999999999998172e+00 100 2.92999999999998151e+00 100 2.93999999999998129e+00 100 2.94999999999998108e+00 100 2.95999999999998087e+00 100 2.96999999999998066e+00 100 2.97999999999998044e+00 100 2.98999999999998023e+00 100 2.99999999999998002e+00 100 3.00999999999997980e+00 100 3.01999999999997959e+00 100 3.02999999999997938e+00 100 3.03999999999997916e+00 100 3.04999999999997895e+00 100 3.05999999999997874e+00 100 3.06999999999997852e+00 100 3.07999999999997831e+00 100 3.08999999999997810e+00 100 3.09999999999997788e+00 100 3.10999999999997767e+00 100 3.11999999999997746e+00 100 3.12999999999997724e+00 100 3.13999999999997703e+00 100 3.14999999999997682e+00 100 3.15999999999997661e+00 100 3.16999999999997639e+00 100 3.17999999999997618e+00 100 3.18999999999997597e+00 100 3.19999999999997575e+00 100 3.20999999999997554e+00 100 3.21999999999997533e+00 100 3.22999999999997511e+00 100 3.23999999999997490e+00 100 3.24999999999997469e+00 100 3.25999999999997447e+00 100 3.26999999999997426e+00 100 3.27999999999997405e+00 100 3.28999999999997383e+00 100 3.29999999999997362e+00 100 3.30999999999997341e+00 100 3.31999999999997319e+00 100 3.32999999999997298e+00 100 3.33999999999997277e+00 100 3.34999999999997256e+00 100 3.35999999999997234e+00 100 3.36999999999997213e+00 100 3.37999999999997192e+00 100 3.38999999999997170e+00 100 3.39999999999997149e+00 100 3.40999999999997128e+00 100 3.41999999999997106e+00 100 3.42999999999997085e+00 100 3.43999999999997064e+00 100 3.44999999999997042e+00 100 3.45999999999997021e+00 100 3.46999999999997000e+00 100 3.47999999999996978e+00 100 3.48999999999996957e+00 100 3.49999999999996936e+00 100 3.50999999999996914e+00 100 3.51999999999996893e+00 100 3.52999999999996872e+00 100 3.53999999999996851e+00 100 3.54999999999996829e+00 100 3.55999999999996808e+00 100 3.56999999999996787e+00 100 3.57999999999996765e+00 100 3.58999999999996744e+00 100 3.59999999999996723e+00 100 3.60999999999996701e+00 100 3.61999999999996680e+00 100 3.62999999999996659e+00 100 3.63999999999996637e+00 100 3.64999999999996616e+00 100 3.65999999999996595e+00 100 3.66999999999996573e+00 100 3.67999999999996552e+00 100 3.68999999999996531e+00 100 3.69999999999996509e+00 100 3.70999999999996488e+00 100 3.71999999999996467e+00 100 3.72999999999996446e+00 100 3.73999999999996424e+00 100 3.74999999999996403e+00 100 3.75999999999996382e+00 100 3.76999999999996360e+00 100 3.77999999999996339e+00 100 3.78999999999996318e+00 100 3.79999999999996296e+00 100 3.80999999999996275e+00 100 3.81999999999996254e+00 100 3.82999999999996232e+00 100 3.83999999999996211e+00 100 3.84999999999996190e+00 100 3.85999999999996168e+00 100 3.86999999999996147e+00 100 3.87999999999996126e+00 100 3.88999999999996104e+00 100 3.89999999999996083e+00 100 3.90999999999996062e+00 100 3.91999999999996041e+00 100 3.92999999999996019e+00 100 3.93999999999995998e+00 100 3.94999999999995977e+00 100 3.95999999999995955e+00 100 3.96999999999995934e+00 100 3.97999999999995913e+00 100 3.98999999999995891e+00 100 3.99999999999995870e+00 100 4.00999999999995893e+00 100 4.01999999999995872e+00 100 4.02999999999995850e+00 100 4.03999999999995829e+00 100 4.04999999999995808e+00 100 4.05999999999995786e+00 100 4.06999999999995765e+00 100 4.07999999999995744e+00 100 4.08999999999995723e+00 100 4.09999999999995701e+00 100 4.10999999999995680e+00 100 4.11999999999995659e+00 100 4.12999999999995637e+00 100 4.13999999999995616e+00 100 4.14999999999995595e+00 100 4.15999999999995573e+00 100 4.16999999999995552e+00 100 4.17999999999995531e+00 100 4.18999999999995509e+00 100 4.19999999999995488e+00 100 4.20999999999995467e+00 100 4.21999999999995445e+00 100 4.22999999999995424e+00 100 4.23999999999995403e+00 100 4.24999999999995381e+00 100 4.25999999999995360e+00 100 4.26999999999995339e+00 100 4.27999999999995318e+00 100 4.28999999999995296e+00 100 4.29999999999995275e+00 100 4.30999999999995254e+00 100 4.31999999999995232e+00 100 4.32999999999995211e+00 100 4.33999999999995190e+00 100 4.34999999999995168e+00 100 4.35999999999995147e+00 100 4.36999999999995126e+00 100 4.37999999999995104e+00 100 4.38999999999995083e+00 100 4.39999999999995062e+00 100 4.40999999999995040e+00 100 4.41999999999995019e+00 100 4.42999999999994998e+00 100 4.43999999999994976e+00 100 4.44999999999994955e+00 100 4.45999999999994934e+00 100 4.46999999999994913e+00 100 4.47999999999994891e+00 100 4.48999999999994870e+00 100 4.49999999999994849e+00 100 4.50999999999994827e+00 100 4.51999999999994806e+00 100 4.52999999999994785e+00 100 4.53999999999994763e+00 100 4.54999999999994742e+00 100 4.55999999999994721e+00 100 4.56999999999994699e+00 100 4.57999999999994678e+00 100 4.58999999999994657e+00 100 4.59999999999994635e+00 100 4.60999999999994614e+00 100 4.61999999999994593e+00 100 4.62999999999994571e+00 100 4.63999999999994550e+00 100 4.64999999999994529e+00 100 4.65999999999994508e+00 100 4.66999999999994486e+00 100 4.67999999999994465e+00 100 4.68999999999994444e+00 100 4.69999999999994422e+00 100 4.70999999999994401e+00 100 4.71999999999994380e+00 100 4.72999999999994358e+00 100 4.73999999999994337e+00 100 4.74999999999994316e+00 100 4.75999999999994294e+00 100 4.76999999999994273e+00 100 4.77999999999994252e+00 100 4.78999999999994230e+00 100 4.79999999999994209e+00 100 4.80999999999994188e+00 100 4.81999999999994166e+00 100 4.82999999999994145e+00 100 4.83999999999994124e+00 100 4.84999999999994102e+00 100 4.85999999999994081e+00 100 4.86999999999994060e+00 100 4.87999999999994039e+00 100 4.88999999999994017e+00 100 4.89999999999993996e+00 100 4.90999999999993975e+00 100 4.91999999999993953e+00 100 4.92999999999993932e+00 100 4.93999999999993911e+00 100 4.94999999999993889e+00 100 4.95999999999993868e+00 100 4.96999999999993847e+00 100 4.97999999999993825e+00 100 4.98999999999993804e+00 100 4.99999999999993783e+00 100 5.00999999999993761e+00 100 5.01999999999993740e+00 100 5.02999999999993719e+00 100 5.03999999999993697e+00 100 5.04999999999993676e+00 100 5.05999999999993655e+00 100 5.06999999999993634e+00 100 5.07999999999993612e+00 100 5.08999999999993591e+00 100 5.09999999999993570e+00 100 5.10999999999993548e+00 100 5.11999999999993527e+00 100 5.12999999999993506e+00 100 5.13999999999993484e+00 100 5.14999999999993463e+00 100 5.15999999999993442e+00 100 5.16999999999993420e+00 100 5.17999999999993399e+00 100 5.18999999999993378e+00 100 5.19999999999993356e+00 100 5.20999999999993335e+00 100 5.21999999999993314e+00 100 5.22999999999993292e+00 100 5.23999999999993271e+00 100 5.24999999999993250e+00 100 5.25999999999993229e+00 100 5.26999999999993207e+00 100 5.27999999999993186e+00 100 5.28999999999993165e+00 100 5.29999999999993143e+00 100 5.30999999999993122e+00 100 5.31999999999993101e+00 100 5.32999999999993079e+00 100 5.33999999999993058e+00 100 5.34999999999993037e+00 100 5.35999999999993015e+00 100 5.36999999999992994e+00 100 5.37999999999992973e+00 100 5.38999999999992951e+00 100 5.39999999999992930e+00 100 5.40999999999992909e+00 100 5.41999999999992887e+00 100 5.42999999999992866e+00 100 5.43999999999992845e+00 100 5.44999999999992824e+00 100 5.45999999999992802e+00 100 5.46999999999992781e+00 100 5.47999999999992760e+00 100 5.48999999999992738e+00 100 5.49999999999992717e+00 100 5.50999999999992696e+00 100 5.51999999999992674e+00 100 5.52999999999992653e+00 100 5.53999999999992632e+00 100 5.54999999999992610e+00 100 5.55999999999992589e+00 100 5.56999999999992568e+00 100 5.57999999999992546e+00 100 5.58999999999992525e+00 100 5.59999999999992504e+00 100 5.60999999999992482e+00 100 5.61999999999992461e+00 100 5.62999999999992440e+00 100 5.63999999999992419e+00 100 5.64999999999992397e+00 100 5.65999999999992376e+00 100 5.66999999999992355e+00 100 5.67999999999992333e+00 100 5.68999999999992312e+00 100 5.69999999999992291e+00 100 5.70999999999992269e+00 100 5.71999999999992248e+00 100 5.72999999999992227e+00 100 5.73999999999992205e+00 100 5.74999999999992184e+00 100 5.75999999999992163e+00 100 5.76999999999992141e+00 100 5.77999999999992120e+00 100 5.78999999999992099e+00 100 5.79999999999992077e+00 100 5.80999999999992056e+00 100 5.81999999999992035e+00 100 5.82999999999992013e+00 100 5.83999999999991992e+00 100 5.84999999999991971e+00 100 5.85999999999991950e+00 100 5.86999999999991928e+00 100 5.87999999999991907e+00 100 5.88999999999991886e+00 100 5.89999999999991864e+00 100 5.90999999999991843e+00 100 5.91999999999991822e+00 100 5.92999999999991800e+00 100 5.93999999999991779e+00 100 5.94999999999991758e+00 100 5.95999999999991736e+00 100 5.96999999999991715e+00 100 5.97999999999991694e+00 100 5.98999999999991672e+00 100 5.99999999999991651e+00 100 6.00999999999991630e+00 100 6.01999999999991608e+00 100 6.02999999999991587e+00 100 6.03999999999991566e+00 100 6.04999999999991545e+00 100 6.05999999999991523e+00 100 6.06999999999991502e+00 100 6.07999999999991481e+00 100 6.08999999999991459e+00 100 6.09999999999991438e+00 100 6.10999999999991417e+00 100 6.11999999999991395e+00 100 6.12999999999991374e+00 100 6.13999999999991353e+00 100 6.14999999999991331e+00 100 6.15999999999991310e+00 100 6.16999999999991289e+00 100 6.17999999999991267e+00 100 6.18999999999991246e+00 100 6.19999999999991225e+00 100 6.20999999999991203e+00 100 6.21999999999991182e+00 100 6.22999999999991161e+00 100 6.23999999999991140e+00 100 6.24999999999991118e+00 100 6.25999999999991097e+00 100 6.26999999999991076e+00 100 6.27999999999991054e+00 100 6.28999999999991033e+00 100 6.29999999999991012e+00 100 6.30999999999990990e+00 100 6.31999999999990969e+00 100 6.32999999999990948e+00 100 6.33999999999990926e+00 100 6.34999999999990905e+00 100 6.35999999999990884e+00 100 6.36999999999990862e+00 100 6.37999999999990841e+00 100 6.38999999999990820e+00 100 6.39999999999990798e+00 100 6.40999999999990777e+00 100 6.41999999999990756e+00 100 6.42999999999990735e+00 100 6.43999999999990713e+00 100 6.44999999999990692e+00 100 6.45999999999990671e+00 100 6.46999999999990649e+00 100 6.47999999999990628e+00 100 6.48999999999990607e+00 100 6.49999999999990585e+00 100 6.50999999999990564e+00 100 6.51999999999990543e+00 100 6.52999999999990521e+00 100 6.53999999999990500e+00 100 6.54999999999990479e+00 100 6.55999999999990457e+00 100 6.56999999999990436e+00 100 6.57999999999990415e+00 100 6.58999999999990393e+00 100 6.59999999999990372e+00 100 6.60999999999990351e+00 100 6.61999999999990330e+00 100 6.62999999999990308e+00 100 6.63999999999990287e+00 100 6.64999999999990266e+00 100 6.65999999999990244e+00 100 6.66999999999990223e+00 100 6.67999999999990202e+00 100 6.68999999999990180e+00 100 6.69999999999990159e+00 100 6.70999999999990138e+00 100 6.71999999999990116e+00 100 6.72999999999990095e+00 100 6.73999999999990074e+00 100 6.74999999999990052e+00 100 6.75999999999990031e+00 100 6.76999999999990010e+00 100 6.77999999999989988e+00 100 6.78999999999989967e+00 100 6.79999999999989946e+00 100 6.80999999999989925e+00 100 6.81999999999989903e+00 100 6.82999999999989882e+00 100 6.83999999999989861e+00 100 6.84999999999989839e+00 100 6.85999999999989818e+00 100 6.86999999999989797e+00 100 6.87999999999989775e+00 100 6.88999999999989754e+00 100 6.89999999999989733e+00 100 6.90999999999989711e+00 100 6.91999999999989690e+00 100 6.92999999999989669e+00 100 6.93999999999989647e+00 100 6.94999999999989626e+00 100 6.95999999999989605e+00 100 6.96999999999989583e+00 100 6.97999999999989562e+00 100 6.98999999999989541e+00 100 6.99999999999989519e+00 100 7.00999999999989498e+00 100 7.01999999999989477e+00 100 7.02999999999989456e+00 100 7.03999999999989434e+00 100 7.04999999999989413e+00 100 7.05999999999989392e+00 100 7.06999999999989370e+00 100 7.07999999999989349e+00 100 7.08999999999989328e+00 100 7.09999999999989306e+00 100 7.10999999999989285e+00 100 7.11999999999989264e+00 100 7.12999999999989242e+00 100 7.13999999999989221e+00 100 7.14999999999989200e+00 100 7.15999999999989178e+00 100 7.16999999999989157e+00 100 7.17999999999989136e+00 100 7.18999999999989114e+00 100 7.19999999999989093e+00 100 7.20999999999989072e+00 100 7.21999999999989051e+00 100 7.22999999999989029e+00 100 7.23999999999989008e+00 100 7.24999999999988987e+00 100 7.25999999999988965e+00 100 7.26999999999988944e+00 100 7.27999999999988923e+00 100 7.28999999999988901e+00 100 7.29999999999988880e+00 100 7.30999999999988859e+00 100 7.31999999999988837e+00 100 7.32999999999988816e+00 100 7.33999999999988795e+00 100 7.34999999999988773e+00 100 7.35999999999988752e+00 100 7.36999999999988731e+00 100 7.37999999999988709e+00 100 7.38999999999988688e+00 100 7.39999999999988667e+00 100 7.40999999999988646e+00 100 7.41999999999988624e+00 100 7.42999999999988603e+00 100 7.43999999999988582e+00 100 7.44999999999988560e+00 100 7.45999999999988539e+00 100 7.46999999999988518e+00 100 7.47999999999988496e+00 100 7.48999999999988475e+00 100 7.49999999999988454e+00 100 7.50999999999988432e+00 100 7.51999999999988411e+00 100 7.52999999999988390e+00 100 7.53999999999988368e+00 100 7.54999999999988347e+00 100 7.55999999999988326e+00 100 7.56999999999988304e+00 100 7.57999999999988283e+00 100 7.58999999999988262e+00 100 7.59999999999988241e+00 100 7.60999999999988219e+00 100 7.61999999999988198e+00 100 7.62999999999988177e+00 100 7.63999999999988155e+00 100 7.64999999999988134e+00 100 7.65999999999988113e+00 100 7.66999999999988091e+00 100 7.67999999999988070e+00 100 7.68999999999988049e+00 100 7.69999999999988027e+00 100 7.70999999999988006e+00 100 7.71999999999987985e+00 100 7.72999999999987963e+00 100 7.73999999999987942e+00 100 7.74999999999987921e+00 100 7.75999999999987899e+00 100 7.76999999999987878e+00 100 7.77999999999987857e+00 100 7.78999999999987836e+00 100 7.79999999999987814e+00 100 7.80999999999987793e+00 100 7.81999999999987772e+00 100 7.82999999999987750e+00 100 7.83999999999987729e+00 100 7.84999999999987708e+00 100 7.85999999999987686e+00 100 7.86999999999987665e+00 100 7.87999999999987644e+00 100 7.88999999999987622e+00 100 7.89999999999987601e+00 100 7.90999999999987580e+00 100 7.91999999999987558e+00 100 7.92999999999987537e+00 100 7.93999999999987516e+00 100 7.94999999999987494e+00 100 7.95999999999987473e+00 100 7.96999999999987452e+00 100 7.97999999999987430e+00 100 7.98999999999987409e+00 100 7.99999999999987388e+00 100 8.00999999999987367e+00 100 8.01999999999987345e+00 100 8.02999999999987324e+00 100 8.03999999999987303e+00 100 8.04999999999987281e+00 100 8.05999999999987260e+00 100 8.06999999999987239e+00 100 8.07999999999987217e+00 100 8.08999999999987196e+00 100 8.09999999999987175e+00 100 8.10999999999987153e+00 100 8.11999999999987132e+00 100 8.12999999999987111e+00 100 8.13999999999987089e+00 100 8.14999999999987068e+00 100 8.15999999999987047e+00 100 8.16999999999987025e+00 100 8.17999999999987004e+00 100 8.18999999999986983e+00 100 8.19999999999986962e+00 100 8.20999999999986940e+00 100 8.21999999999986919e+00 100 8.22999999999986898e+00 100 8.23999999999986876e+00 100 8.24999999999986855e+00 100 8.25999999999986834e+00 100 8.26999999999986812e+00 100 8.27999999999986791e+00 100 8.28999999999986770e+00 100 8.29999999999986748e+00 100 8.30999999999986727e+00 100 8.31999999999986706e+00 100 8.32999999999986684e+00 100 8.33999999999986663e+00 100 8.34999999999986642e+00 100 8.35999999999986620e+00 100 8.36999999999986599e+00 100 8.37999999999986578e+00 100 8.38999999999986557e+00 100 8.39999999999986535e+00 100 8.40999999999986514e+00 100 8.41999999999986493e+00 100 8.42999999999986471e+00 100 8.43999999999986450e+00 100 8.44999999999986429e+00 100 8.45999999999986407e+00 100 8.46999999999986386e+00 100 8.47999999999986365e+00 100 8.48999999999986343e+00 100 8.49999999999986322e+00 100 8.50999999999986301e+00 100 8.51999999999986279e+00 100 8.52999999999986258e+00 100 8.53999999999986237e+00 100 8.54999999999986215e+00 100 8.55999999999986194e+00 100 8.56999999999986173e+00 100 8.57999999999986152e+00 100 8.58999999999986130e+00 100 8.59999999999986109e+00 100 8.60999999999986088e+00 100 8.61999999999986066e+00 100 8.62999999999986045e+00 100 8.63999999999986024e+00 100 8.64999999999986002e+00 100 8.65999999999985981e+00 100 8.66999999999985960e+00 100 8.67999999999985938e+00 100 8.68999999999985917e+00 100 8.69999999999985896e+00 100 8.70999999999985874e+00 100 8.71999999999985853e+00 100 8.72999999999985832e+00 100 8.73999999999985810e+00 100 8.74999999999985789e+00 100 8.75999999999985768e+00 100 8.76999999999985747e+00 100 8.77999999999985725e+00 100 8.78999999999985704e+00 100 8.79999999999985683e+00 100 8.80999999999985661e+00 100 8.81999999999985640e+00 100 8.82999999999985619e+00 100 8.83999999999985597e+00 100 8.84999999999985576e+00 100 8.85999999999985555e+00 100 8.86999999999985533e+00 100 8.87999999999985512e+00 100 8.88999999999985491e+00 100 8.89999999999985469e+00 100 8.90999999999985448e+00 100 8.91999999999985427e+00 100 8.92999999999985405e+00 100 8.93999999999985384e+00 100 8.94999999999985363e+00 100 8.95999999999985342e+00 100 8.96999999999985320e+00 100 8.97999999999985299e+00 100 8.98999999999985278e+00 100 8.99999999999985256e+00 100 9.00999999999985235e+00 100 9.01999999999985214e+00 100 9.02999999999985192e+00 100 9.03999999999985171e+00 100 9.04999999999985150e+00 100 9.05999999999985128e+00 100 9.06999999999985107e+00 100 9.07999999999985086e+00 100 9.08999999999985064e+00 100 9.09999999999985043e+00 100 9.10999999999985022e+00 100 9.11999999999985000e+00 100 9.12999999999984979e+00 100 9.13999999999984958e+00 100 9.14999999999984936e+00 100 9.15999999999984915e+00 100 9.16999999999984894e+00 100 9.17999999999984873e+00 100 9.18999999999984851e+00 100 9.19999999999984830e+00 100 9.20999999999984809e+00 100 9.21999999999984787e+00 100 9.22999999999984766e+00 100 9.23999999999984745e+00 100 9.24999999999984723e+00 100 9.25999999999984702e+00 100 9.26999999999984681e+00 100 9.27999999999984659e+00 100 9.28999999999984638e+00 100 9.29999999999984617e+00 100 9.30999999999984595e+00 100 9.31999999999984574e+00 100 9.32999999999984553e+00 100 9.33999999999984531e+00 100 9.34999999999984510e+00 100 9.35999999999984489e+00 100 9.36999999999984468e+00 100 9.37999999999984446e+00 100 9.38999999999984425e+00 100 9.39999999999984404e+00 100 9.40999999999984382e+00 100 9.41999999999984361e+00 100 9.42999999999984340e+00 100 9.43999999999984318e+00 100 9.44999999999984297e+00 100 9.45999999999984276e+00 100 9.46999999999984254e+00 100 9.47999999999984233e+00 100 9.48999999999984212e+00 100 9.49999999999984190e+00 100 9.50999999999984169e+00 100 9.51999999999984148e+00 100 9.52999999999984126e+00 100 9.53999999999984105e+00 100 9.54999999999984084e+00 100 9.55999999999984063e+00 100 9.56999999999984041e+00 100 9.57999999999984020e+00 100 9.58999999999983999e+00 100 9.59999999999983977e+00 100 9.60999999999983956e+00 100 9.61999999999983935e+00 100 9.62999999999983913e+00 100 9.63999999999983892e+00 100 9.64999999999983871e+00 100 9.65999999999983849e+00 100 9.66999999999983828e+00 100 9.67999999999983807e+00 100 9.68999999999983785e+00 100 9.69999999999983764e+00 100 9.70999999999983743e+00 100 9.71999999999983721e+00 100 9.72999999999983700e+00 100 9.73999999999983679e+00 100 9.74999999999983658e+00 100 9.75999999999983636e+00 100 9.76999999999983615e+00 100 9.77999999999983594e+00 100 9.78999999999983572e+00 100 9.79999999999983551e+00 100 9.80999999999983530e+00 100 9.81999999999983508e+00 100 9.82999999999983487e+00 100 9.83999999999983466e+00 100 9.84999999999983444e+00 100 9.85999999999983423e+00 100 9.86999999999983402e+00 100 9.87999999999983380e+00 100 9.88999999999983359e+00 100 9.89999999999983338e+00 100 9.90999999999983316e+00 100 9.91999999999983295e+00 100 9.92999999999983274e+00 100 9.93999999999983253e+00 100 9.94999999999983231e+00 100 9.95999999999983210e+00 100 9.96999999999983189e+00 100 9.97999999999983167e+00 100 9.98999999999983146e+00 100 9.99999999999983125e+00 100 1.00099999999998310e+01 100 1.00199999999998308e+01 100 1.00299999999998306e+01 100 1.00399999999998304e+01 100 1.00499999999998302e+01 100 1.00599999999998300e+01 100 1.00699999999998298e+01 100 1.00799999999998295e+01 100 1.00899999999998293e+01 100 1.00999999999998291e+01 100 1.01099999999998289e+01 100 1.01199999999998287e+01 100 1.01299999999998285e+01 100 1.01399999999998283e+01 100 1.01499999999998280e+01 100 1.01599999999998278e+01 100 1.01699999999998276e+01 100 1.01799999999998274e+01 100 1.01899999999998272e+01 100 1.01999999999998270e+01 100 1.02099999999998268e+01 100 1.02199999999998266e+01 100 1.02299999999998263e+01 100 1.02399999999998261e+01 100 1.02499999999998259e+01 100 1.02599999999998257e+01 100 1.02699999999998255e+01 100 1.02799999999998253e+01 100 1.02899999999998251e+01 100 1.02999999999998249e+01 100 1.03099999999998246e+01 100 1.03199999999998244e+01 100 1.03299999999998242e+01 100 1.03399999999998240e+01 100 1.03499999999998238e+01 100 1.03599999999998236e+01 100 1.03699999999998234e+01 100 1.03799999999998231e+01 100 1.03899999999998229e+01 100 1.03999999999998227e+01 100 1.04099999999998225e+01 100 1.04199999999998223e+01 100 1.04299999999998221e+01 100 1.04399999999998219e+01 100 1.04499999999998217e+01 100 1.04599999999998214e+01 100 1.04699999999998212e+01 100 1.04799999999998210e+01 100 1.04899999999998208e+01 100 1.04999999999998206e+01 4 time 1 c 4 0 0 7 0 0 0 0 0 0 0 0 0 0 0 + 0 diff --git a/applications_tests/lethe-fluid-matrix-free/turbulent_taylor_couette_restart/restart.pvdhandler b/applications_tests/lethe-fluid-matrix-free/turbulent_taylor_couette_restart/restart.pvdhandler new file mode 100644 index 0000000000..61fef595f1 --- /dev/null +++ b/applications_tests/lethe-fluid-matrix-free/turbulent_taylor_couette_restart/restart.pvdhandler @@ -0,0 +1,2 @@ +0 +Time File diff --git a/applications_tests/lethe-fluid-matrix-free/turbulent_taylor_couette_restart/restart.simulationcontrol b/applications_tests/lethe-fluid-matrix-free/turbulent_taylor_couette_restart/restart.simulationcontrol new file mode 100644 index 0000000000..f4427b2954 --- /dev/null +++ b/applications_tests/lethe-fluid-matrix-free/turbulent_taylor_couette_restart/restart.simulationcontrol @@ -0,0 +1,8 @@ +Simulation control +dt_0 0.01 +dt_1 0.01 +dt_2 0.01 +dt_3 0.01 +CFL 0.021966 +Time 10.5 +Iter 1051 diff --git a/applications_tests/lethe-fluid-matrix-free/turbulent_taylor_couette_restart/restart.triangulation b/applications_tests/lethe-fluid-matrix-free/turbulent_taylor_couette_restart/restart.triangulation new file mode 100644 index 0000000000..ca25d04be0 Binary files /dev/null and b/applications_tests/lethe-fluid-matrix-free/turbulent_taylor_couette_restart/restart.triangulation differ diff --git a/applications_tests/lethe-fluid-matrix-free/turbulent_taylor_couette_restart/restart.triangulation.info b/applications_tests/lethe-fluid-matrix-free/turbulent_taylor_couette_restart/restart.triangulation.info new file mode 100644 index 0000000000..0131201ecd --- /dev/null +++ b/applications_tests/lethe-fluid-matrix-free/turbulent_taylor_couette_restart/restart.triangulation.info @@ -0,0 +1,2 @@ +version nproc n_attached_fixed_size_objs n_attached_variable_size_objs n_coarse_cells +5 16 1 0 20 diff --git a/applications_tests/lethe-fluid-matrix-free/turbulent_taylor_couette_restart/restart.triangulation_fixed.data b/applications_tests/lethe-fluid-matrix-free/turbulent_taylor_couette_restart/restart.triangulation_fixed.data new file mode 100644 index 0000000000..1d23e8b795 Binary files /dev/null and b/applications_tests/lethe-fluid-matrix-free/turbulent_taylor_couette_restart/restart.triangulation_fixed.data differ diff --git a/source/solvers/fluid_dynamics_matrix_free.cc b/source/solvers/fluid_dynamics_matrix_free.cc index ddcde88053..8879da7e67 100644 --- a/source/solvers/fluid_dynamics_matrix_free.cc +++ b/source/solvers/fluid_dynamics_matrix_free.cc @@ -2222,29 +2222,34 @@ template void FluidDynamicsMatrixFree::update_boundary_conditions() { - if (this->simulation_parameters.boundary_conditions.time_dependent) + if (!this->simulation_parameters.boundary_conditions.time_dependent) + return; + + // We can never assume in the code anywhere that the local_evaluation_point is + // at the right value its value must always be reinitialized from the present + // solution. This may appear trivial, but this is extremely important when we + // are checkpointing. Trust me future Bruno. + this->local_evaluation_point = this->present_solution; + + double time = this->simulation_control->get_current_time(); + for (unsigned int i_bc = 0; + i_bc < this->simulation_parameters.boundary_conditions.size; + ++i_bc) { - double time = this->simulation_control->get_current_time(); - for (unsigned int i_bc = 0; - i_bc < this->simulation_parameters.boundary_conditions.size; - ++i_bc) - { - this->simulation_parameters.boundary_conditions.bcFunctions[i_bc] - .u.set_time(time); - this->simulation_parameters.boundary_conditions.bcFunctions[i_bc] - .v.set_time(time); - this->simulation_parameters.boundary_conditions.bcFunctions[i_bc] - .w.set_time(time); - this->simulation_parameters.boundary_conditions - .bcPressureFunction[i_bc] - .p.set_time(time); - } - define_non_zero_constraints(); - // Distribute constraints - auto &nonzero_constraints = this->nonzero_constraints; - nonzero_constraints.distribute(this->local_evaluation_point); - this->present_solution = this->local_evaluation_point; + this->simulation_parameters.boundary_conditions.bcFunctions[i_bc] + .u.set_time(time); + this->simulation_parameters.boundary_conditions.bcFunctions[i_bc] + .v.set_time(time); + this->simulation_parameters.boundary_conditions.bcFunctions[i_bc] + .w.set_time(time); + this->simulation_parameters.boundary_conditions.bcPressureFunction[i_bc] + .p.set_time(time); } + define_non_zero_constraints(); + // Distribute constraints + auto &nonzero_constraints = this->nonzero_constraints; + nonzero_constraints.distribute(this->local_evaluation_point); + this->present_solution = this->local_evaluation_point; } template