remove BSSN_MoL tests, switch to ML_BSSN from ML_BSSN_O2

The BSSN_MoL tests either used LegoExcision (which we will remove) or have
equivalent ML tests.
The ML tests now use fdOrder and still pass with the old data (only
modification to hdf5 file was renaming of datasets and regeneration of the
Parameters group)


git-svn-id: http://svn.einsteintoolkit.org/cactus/EinsteinAnalysis/AHFinderDirect/trunk@1563 f88db872-0e4f-0410-b76b-b9085cfa78c5

52 files changed, 42 insertions, 15309 deletions

diff --git a/test/checkpoint.par b/test/checkpoint.par
deleted file mode 100644
index c0706d1..0000000
--- a/test/checkpoint.par
+++ /dev/null
@@ -1,86 +0,0 @@
-# $Header$
-
-# This parameter file sets up Kerr/Kerr-Schild initial data, then
-# finds the apparent horizon in it.
-
-# flesh
-cactus::cctk_itlast = 1
-
-# create output directory
-ActiveThorns = "IOUtil"
-IO::out_dir = $parfile
-IO::parfile_write = "no"
-
-ActiveThorns = "Carpet CarpetLib"
-driver::ghost_size = 3
-driver::global_nx = 19
-driver::global_ny = 31
-driver::global_nz = 19
-
-ActiveThorns = "Boundary CartGrid3D CoordBase RotatingSymmetry180 Slab SymBase"
-grid::domain = "bitant"
-grid::avoid_origin = "false"
-grid::type = "byrange"
-grid::xmin = -0.6
-grid::ymin = -3.0
-grid::zmin = -0.6
-grid::xmax =  3.0
-grid::ymax =  3.0
-grid::zmax =  3.0
-
-ActiveThorns = "ADMBase ADMCoupling StaticConformal CoordGauge SpaceMask Exact ADMMacros BSSN_MoL MoL"
-ADMBase::initial_lapse = "exact"
-ADMBase::initial_shift = "exact"
-ADMBase::initial_data = "exact"
-ADMBase::lapse_evolution_method = "harmonic"
-ADMBase::shift_evolution_method = "static"
-ADMBase::metric_type = "physical"
-ADMBase::evolution_method = ADM_BSSN
-Exact::exact_model = "Kerr/Kerr-Schild"
-Exact::Kerr_KerrSchild__mass = 1.0
-Exact::Kerr_KerrSchild__spin = 0.6
-
-ActiveThorns = "Time"
-Time::dtfac = 0.25
-
-ActiveThorns = "SphericalSurface NoExcision"
-NoExcision::num_regions = 1
-NoExcision::radius[0] = 1.01
-
-ActiveThorns = "CarpetIOASCII"
-IOASCII::out1D_every = 1
-IOASCII::out1D_vars  = "ADM_BSSN::ADM_BSSN_phi"
-
-ActiveThorns = "CarpetIOHDF5"
-IOHDF5::checkpoint   = yes
-IO::checkpoint_dir   = $parfile
-IO::checkpoint_every =  1
-IO::checkpoint_keep  = -1
-
-########################################
-
-ActiveThorns = "SphericalSurface"
-
-ActiveThorns = "LocalInterp AEILocalInterp CarpetInterp GSL LoopControl CarpetReduce AHFinderDirect"
-
-AHFinderDirect::print_timing_stats = "true"
-
-AHFinderDirect::h_base_file_name              = "h"
-AHFinderDirect::BH_diagnostics_base_file_name = "BH_diagnostics"
-AHFinderDirect::output_OpenDX_control_files   = "no"
-AHFinderDirect::Theta_norm_for_convergence = 1.0e-12
-
-AHFinderDirect::geometry_interpolator_name = "Lagrange polynomial interpolation"
-AHFinderDirect::geometry_interpolator_pars = "order=4"
-
-AHFinderDirect::N_horizons = 1
-
-AHFinderDirect::origin_x[1] = 0.5
-AHFinderDirect::origin_y[1] = 0.7
-AHFinderDirect::origin_z[1] = 0.0
-
-AHFinderDirect::initial_guess_method[1] = "coordinate sphere"
-AHFinderDirect::initial_guess__coord_sphere__x_center[1] = -0.2
-AHFinderDirect::initial_guess__coord_sphere__y_center[1] =  0.3
-AHFinderDirect::initial_guess__coord_sphere__z_center[1] =  0.0
-AHFinderDirect::initial_guess__coord_sphere__radius[1] = 2.0
diff --git a/test/checkpoint/ADM_BS_phi.x.asc b/test/checkpoint/ADM_BS_phi.x.asc
deleted file mode 100644
index 16c9bdc..0000000
--- a/test/checkpoint/ADM_BS_phi.x.asc
+++ /dev/null
@@ -1,50 +0,0 @@
-# ADM_BSSN::ADM_BS_phi x (ADM_BS_phi)
-#
-# iteration 0
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: it	tl rl c ml	ix iy iz	time	x y z	data
-0	0 0 0 0	0 15 3	0	-0.6 0 0	1.55028350898262
-0	0 0 0 0	1 15 3	0	-0.4 0 0	3.06029820435403
-0	0 0 0 0	2 15 3	0	-0.2 0 0	2.9447736742607
-0	0 0 0 0	3 15 3	0	0 0 0	5.55111512312578e-17
-0	0 0 0 0	4 15 3	0	0.2 0 0	2.9447736742607
-0	0 0 0 0	5 15 3	0	0.4 0 0	3.06029820435403
-0	0 0 0 0	6 15 3	0	0.6 0 0	1.55028350898262
-0	0 0 0 0	7 15 3	0	0.8 0 0	0.130363851624392
-0	0 0 0 0	8 15 3	0	1 0 0	0.104396914041281
-0	0 0 0 0	9 15 3	0	1.2 0 0	0.089426986060179
-0	0 0 0 0	10 15 3	0	1.4 0 0	0.0790192257126239
-0	0 0 0 0	11 15 3	0	1.6 0 0	0.0711445106729648
-0	0 0 0 0	12 15 3	0	1.8 0 0	0.0648868128770822
-0	0 0 0 0	13 15 3	0	2 0 0	0.0597502314947582
-0	0 0 0 0	14 15 3	0	2.2 0 0	0.0554346926262661
-0	0 0 0 0	15 15 3	0	2.4 0 0	0.0517444047880427
-0	0 0 0 0	16 15 3	0	2.6 0 0	0.0485444731857333
-0	0 0 0 0	17 15 3	0	2.8 0 0	0.0457380536195029
-0	0 0 0 0	18 15 3	0	3 0 0	0.0432533402490022
-
-
-# iteration 1
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: it	tl rl c ml	ix iy iz	time	x y z	data
-1	0 0 0 0	0 15 3	0.05	-0.6 0 0	1.55028350898262
-1	0 0 0 0	1 15 3	0.05	-0.4 0 0	3.06029820435403
-1	0 0 0 0	2 15 3	0.05	-0.2 0 0	2.9447736742607
-1	0 0 0 0	3 15 3	0.05	0 0 0	5.55111512312578e-17
-1	0 0 0 0	4 15 3	0.05	0.2 0 0	2.9447736742607
-1	0 0 0 0	5 15 3	0.05	0.4 0 0	3.06029820435403
-1	0 0 0 0	6 15 3	0.05	0.6 0 0	1.55028350898262
-1	0 0 0 0	7 15 3	0.05	0.8 0 0	0.130363851624392
-1	0 0 0 0	8 15 3	0.05	1 0 0	0.104396914041281
-1	0 0 0 0	9 15 3	0.05	1.2 0 0	0.101375751425694
-1	0 0 0 0	10 15 3	0.05	1.4 0 0	0.0784899103643417
-1	0 0 0 0	11 15 3	0.05	1.6 0 0	0.0710854749780764
-1	0 0 0 0	12 15 3	0.05	1.8 0 0	0.0648365375811699
-1	0 0 0 0	13 15 3	0.05	2 0 0	0.0597142640637997
-1	0 0 0 0	14 15 3	0.05	2.2 0 0	0.0554082209721993
-1	0 0 0 0	15 15 3	0.05	2.4 0 0	0.0517244520929427
-1	0 0 0 0	16 15 3	0.05	2.6 0 0	0.048529132257269
-1	0 0 0 0	17 15 3	0.05	2.8 0 0	0.0457263318069279
-1	0 0 0 0	18 15 3	0.05	3 0 0	0.0432533402490022
-
-
diff --git a/test/checkpoint/ADM_BS_phi.y.asc b/test/checkpoint/ADM_BS_phi.y.asc
deleted file mode 100644
index b882dc1..0000000
--- a/test/checkpoint/ADM_BS_phi.y.asc
+++ /dev/null
@@ -1,74 +0,0 @@
-# ADM_BSSN::ADM_BS_phi y (ADM_BS_phi)
-#
-# iteration 0
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: it	tl rl c ml	ix iy iz	time	x y z	data
-0	0 0 0 0	3 0 3	0	0 -3 0	0.0432533402490022
-0	0 0 0 0	3 1 3	0	0 -2.8 0	0.0457380536195029
-0	0 0 0 0	3 2 3	0	0 -2.6 0	0.0485444731857333
-0	0 0 0 0	3 3 3	0	0 -2.4 0	0.0517444047880427
-0	0 0 0 0	3 4 3	0	0 -2.2 0	0.055434692626266
-0	0 0 0 0	3 5 3	0	0 -2 0	0.0597502314947582
-0	0 0 0 0	3 6 3	0	0 -1.8 0	0.0648868128770822
-0	0 0 0 0	3 7 3	0	0 -1.6 0	0.0711445106729648
-0	0 0 0 0	3 8 3	0	0 -1.4 0	0.0790192257126238
-0	0 0 0 0	3 9 3	0	0 -1.2 0	0.089426986060179
-0	0 0 0 0	3 10 3	0	0 -1 0	0.104396914041281
-0	0 0 0 0	3 11 3	0	0 -0.8 0	0.130363851624392
-0	0 0 0 0	3 12 3	0	0 -0.6 0	3.12787572237206
-0	0 0 0 0	3 13 3	0	0 -0.4 0	3.06029820435403
-0	0 0 0 0	3 14 3	0	0 -0.2 0	2.9447736742607
-0	0 0 0 0	3 15 3	0	0 0 0	5.55111512312578e-17
-0	0 0 0 0	3 16 3	0	0 0.2 0	2.9447736742607
-0	0 0 0 0	3 17 3	0	0 0.4 0	3.06029820435403
-0	0 0 0 0	3 18 3	0	0 0.6 0	1.58846228922224
-0	0 0 0 0	3 19 3	0	0 0.8 0	0.130363851624392
-0	0 0 0 0	3 20 3	0	0 1 0	0.104396914041281
-0	0 0 0 0	3 21 3	0	0 1.2 0	0.089426986060179
-0	0 0 0 0	3 22 3	0	0 1.4 0	0.0790192257126238
-0	0 0 0 0	3 23 3	0	0 1.6 0	0.0711445106729648
-0	0 0 0 0	3 24 3	0	0 1.8 0	0.0648868128770822
-0	0 0 0 0	3 25 3	0	0 2 0	0.0597502314947583
-0	0 0 0 0	3 26 3	0	0 2.2 0	0.0554346926262661
-0	0 0 0 0	3 27 3	0	0 2.4 0	0.0517444047880428
-0	0 0 0 0	3 28 3	0	0 2.6 0	0.0485444731857333
-0	0 0 0 0	3 29 3	0	0 2.8 0	0.0457380536195029
-0	0 0 0 0	3 30 3	0	0 3 0	0.0432533402490022
-
-
-# iteration 1
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: it	tl rl c ml	ix iy iz	time	x y z	data
-1	0 0 0 0	3 0 3	0.05	0 -3 0	0.0432533402490022
-1	0 0 0 0	3 1 3	0.05	0 -2.8 0	0.0457263318065289
-1	0 0 0 0	3 2 3	0.05	0 -2.6 0	0.0485291322573205
-1	0 0 0 0	3 3 3	0.05	0 -2.4 0	0.0517244520929351
-1	0 0 0 0	3 4 3	0.05	0 -2.2 0	0.0554082209725126
-1	0 0 0 0	3 5 3	0.05	0 -2 0	0.059714264063792
-1	0 0 0 0	3 6 3	0.05	0 -1.8 0	0.0648365375817624
-1	0 0 0 0	3 7 3	0.05	0 -1.6 0	0.0710854749766165
-1	0 0 0 0	3 8 3	0.05	0 -1.4 0	0.0784899103644064
-1	0 0 0 0	3 9 3	0.05	0 -1.2 0	0.101375751426601
-1	0 0 0 0	3 10 3	0.05	0 -1 0	0.104396914041281
-1	0 0 0 0	3 11 3	0.05	0 -0.8 0	0.130363851624392
-1	0 0 0 0	3 12 3	0.05	0 -0.6 0	3.12787572237206
-1	0 0 0 0	3 13 3	0.05	0 -0.4 0	3.06029820435403
-1	0 0 0 0	3 14 3	0.05	0 -0.2 0	2.9447736742607
-1	0 0 0 0	3 15 3	0.05	0 0 0	5.55111512312578e-17
-1	0 0 0 0	3 16 3	0.05	0 0.2 0	2.9447736742607
-1	0 0 0 0	3 17 3	0.05	0 0.4 0	3.06029820435403
-1	0 0 0 0	3 18 3	0.05	0 0.6 0	1.58846228922224
-1	0 0 0 0	3 19 3	0.05	0 0.8 0	0.130363851624392
-1	0 0 0 0	3 20 3	0.05	0 1 0	0.104396914041281
-1	0 0 0 0	3 21 3	0.05	0 1.2 0	0.101375751425644
-1	0 0 0 0	3 22 3	0.05	0 1.4 0	0.0784899103629492
-1	0 0 0 0	3 23 3	0.05	0 1.6 0	0.0710854749782824
-1	0 0 0 0	3 24 3	0.05	0 1.8 0	0.0648365375811426
-1	0 0 0 0	3 25 3	0.05	0 2 0	0.0597142640640769
-1	0 0 0 0	3 26 3	0.05	0 2.2 0	0.0554082209721188
-1	0 0 0 0	3 27 3	0.05	0 2.4 0	0.051724452093734
-1	0 0 0 0	3 28 3	0.05	0 2.6 0	0.048529132256278
-1	0 0 0 0	3 29 3	0.05	0 2.8 0	0.0457263318071654
-1	0 0 0 0	3 30 3	0.05	0 3 0	0.0432533402490022
-
-
diff --git a/test/checkpoint/ADM_BS_phi.z.asc b/test/checkpoint/ADM_BS_phi.z.asc
deleted file mode 100644
index 4235b8d..0000000
--- a/test/checkpoint/ADM_BS_phi.z.asc
+++ /dev/null
@@ -1,50 +0,0 @@
-# ADM_BSSN::ADM_BS_phi z (ADM_BS_phi)
-#
-# iteration 0
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: it	tl rl c ml	ix iy iz	time	x y z	data
-0	0 0 0 0	3 15 0	0	0 0 -0.6	0.0817357710843105
-0	0 0 0 0	3 15 1	0	0 0 -0.4	0.0776298503337453
-0	0 0 0 0	3 15 2	0	0 0 -0.2	0.0577622650466621
-0	0 0 0 0	3 15 3	0	0 0 0	5.55111512312578e-17
-0	0 0 0 0	3 15 4	0	0 0 0.2	0.0577622650466621
-0	0 0 0 0	3 15 5	0	0 0 0.4	0.0776298503337453
-0	0 0 0 0	3 15 6	0	0 0 0.6	0.0817357710843105
-0	0 0 0 0	3 15 7	0	0 0 0.8	0.0796259537522864
-0	0 0 0 0	3 15 8	0	0 0 1	0.075371356185596
-0	0 0 0 0	3 15 9	0	0 0 1.2	0.070608155032267
-0	0 0 0 0	3 15 10	0	0 0 1.4	0.0659656044477665
-0	0 0 0 0	3 15 11	0	0 0 1.6	0.0616648733536704
-0	0 0 0 0	3 15 12	0	0 0 1.8	0.0577622650466621
-0	0 0 0 0	3 15 13	0	0 0 2	0.0542488641446389
-0	0 0 0 0	3 15 14	0	0 0 2.2	0.0510920394072007
-0	0 0 0 0	3 15 15	0	0 0 2.4	0.0482528228160437
-0	0 0 0 0	3 15 16	0	0 0 2.6	0.0456930193901241
-0	0 0 0 0	3 15 17	0	0 0 2.8	0.0433778698244126
-0	0 0 0 0	3 15 18	0	0 0 3	0.0412767864358354
-
-
-# iteration 1
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: it	tl rl c ml	ix iy iz	time	x y z	data
-1	0 0 0 0	3 15 0	0.05	0 0 -0.6	0.0817357710843105
-1	0 0 0 0	3 15 1	0.05	0 0 -0.4	0.0776298503337453
-1	0 0 0 0	3 15 2	0.05	0 0 -0.2	0.0577622650466621
-1	0 0 0 0	3 15 3	0.05	0 0 0	5.55111512312578e-17
-1	0 0 0 0	3 15 4	0.05	0 0 0.2	0.0577622650466621
-1	0 0 0 0	3 15 5	0.05	0 0 0.4	0.0776298503337453
-1	0 0 0 0	3 15 6	0.05	0 0 0.6	0.0817357710843105
-1	0 0 0 0	3 15 7	0.05	0 0 0.8	0.0796259537522864
-1	0 0 0 0	3 15 8	0.05	0 0 1	0.075371356185596
-1	0 0 0 0	3 15 9	0.05	0 0 1.2	0.0829587683140772
-1	0 0 0 0	3 15 10	0.05	0 0 1.4	0.0655218378268591
-1	0 0 0 0	3 15 11	0.05	0 0 1.6	0.0616502726348815
-1	0 0 0 0	3 15 12	0.05	0 0 1.8	0.0577381679321618
-1	0 0 0 0	3 15 13	0.05	0 0 2	0.0542290473265031
-1	0 0 0 0	3 15 14	0.05	0 0 2.2	0.0510759026136498
-1	0 0 0 0	3 15 15	0.05	0 0 2.4	0.0482396956746853
-1	0 0 0 0	3 15 16	0.05	0 0 2.6	0.045682310360457
-1	0 0 0 0	3 15 17	0.05	0 0 2.8	0.043369299549159
-1	0 0 0 0	3 15 18	0.05	0 0 3	0.0412767864358354
-
-
diff --git a/test/checkpoint/BH_diagnostics.ah1.gp b/test/checkpoint/BH_diagnostics.ah1.gp
deleted file mode 100644
index b8b6232..0000000
--- a/test/checkpoint/BH_diagnostics.ah1.gp
+++ /dev/null
@@ -1,45 +0,0 @@
-
-# apparent horizon 1/2
-#
-# column  1 = cctk_iteration
-# column  2 = cctk_time
-# column  3 = centroid_x
-# column  4 = centroid_y
-# column  5 = centroid_z
-# column  6 = min radius
-# column  7 = max radius
-# column  8 = mean radius
-# column  9 = quadrupole_xx
-# column 10 = quadrupole_xy
-# column 11 = quadrupole_xz
-# column 12 = quadrupole_yy
-# column 13 = quadrupole_yz
-# column 14 = quadrupole_zz
-# column 15 = min x
-# column 16 = max x
-# column 17 = min y
-# column 18 = max y
-# column 19 = min z
-# column 20 = max z
-# column 21 = xy-plane circumference
-# column 22 = xz-plane circumference
-# column 23 = yz-plane circumference
-# column 24 = ratio of xz/xy-plane circumferences
-# column 25 = ratio of yz/xy-plane circumferences
-# column 26 = area
-# column 27 = m_irreducible
-# column 28 = areal radius
-# column 29 = expansion Theta_(l)
-# column 30 = inner expansion Theta_(n)
-# column 31 = product of the expansions
-# column 32 = mean curvature
-# column 33 = gradient of the areal radius
-# column 34 = gradient of the expansion Theta_(l)
-# column 35 = gradient of the inner expansion Theta_(n)
-# column 36 = gradient of the product of the expansions
-# column 37 = gradient of the mean curvature
-# column 38 = minimum  of the mean curvature    
-# column 39 = maximum  of the mean curvature
-# column 40 = integral of the mean curvature
-0	0.000	0.000018	0.000023	0.000000	1.176340618	2.618119667	1.957482015	1.199913977	5.844949259e-06	0.000000000	1.199902758	0.000000000	1.079942806	-1.897121623	1.896433858	-1.896753895	1.896512642	-1.797497951	1.797497951	12.56584282	11.05065076	11.36953689	0.8794197824	0.9047970004	45.23598920	0.9486524183	1.897304837	1.523214105e-16	-1.469529399	-1.810963974e-16	0.7347646997	0.000000000	0.000000000	0.000000000	0.000000000	0.000000000
-1	0.050	0.000019	0.000024	0.000000	1.176380392	2.618153958	1.957468604	1.199892119	5.719600098e-06	0.000000000	1.199880612	0.000000000	1.079934046	-1.896960888	1.896259578	-1.896611179	1.896371333	-1.797354797	1.797354797	12.56418444	11.04969729	11.36849971	0.8794599719	0.9048338768	45.22922778	0.9485815182	1.897163036	9.873160868e-16	-1.469715966	-1.398319552e-15	0.7348579832	0.000000000	0.000000000	0.000000000	0.000000000	0.000000000
diff --git a/test/checkpoint/BH_diagnostics.ah2.gp b/test/checkpoint/BH_diagnostics.ah2.gp
deleted file mode 100644
index bc0328b..0000000
--- a/test/checkpoint/BH_diagnostics.ah2.gp
+++ /dev/null
@@ -1,41 +0,0 @@
-# apparent horizon 2/2
-#
-# column  1 = cctk_iteration
-# column  2 = cctk_time
-# column  3 = centroid_x
-# column  4 = centroid_y
-# column  5 = centroid_z
-# column  6 = min radius
-# column  7 = max radius
-# column  8 = mean radius
-# column  9 = quadrupole_xx
-# column 10 = quadrupole_xy
-# column 11 = quadrupole_xz
-# column 12 = quadrupole_yy
-# column 13 = quadrupole_yz
-# column 14 = quadrupole_zz
-# column 15 = min x
-# column 16 = max x
-# column 17 = min y
-# column 18 = max y
-# column 19 = min z
-# column 20 = max z
-# column 21 = xy-plane circumference
-# column 22 = xz-plane circumference
-# column 23 = yz-plane circumference
-# column 24 = ratio of xz/xy-plane circumferences
-# column 25 = ratio of yz/xy-plane circumferences
-# column 26 = area
-# column 27 = m_irreducible
-# column 28 = areal radius
-# column 29 = expansion Theta_(l)
-# column 30 = inner expansion Theta_(n)
-# column 31 = product of the expansions
-# column 32 = mean curvature
-# column 33 = gradient of the areal radius
-# column 34 = gradient of the expansion Theta_(l)
-# column 35 = gradient of the inner expansion Theta_(n)
-# column 36 = gradient of the product of the expansions
-# column 37 = gradient of the mean curvature
-0	0.000	-0.000000	-0.000000	0.000000	1.799934848	1.897350545	1.865228192	1.199966475	1.876627370e-10	0.000000000	1.199966475	0.000000000	1.079979253	-1.897258171	1.897258171	-1.897258170	1.897258170	-1.799934848	1.799934848	12.56611222	11.61734755	11.61734755	0.9244981536	0.9244981536	45.23786021	0.9486720368	1.897344074	2.035243814e-16	-1.467139979	-2.541636530e-16	0.7335699896	0.000000000	0.000000000	0.000000000	0.000000000	0.000000000
-1	0.050	-0.000000	0.000000	0.000000	1.799783193	1.897393378	1.865210792	1.199941399	1.749181827e-10	0.000000000	1.199941399	-0.000000000	1.079964598	-1.897099667	1.897099667	-1.897099666	1.897099666	-1.799783193	1.799783193	12.56444119	11.61623570	11.61623570	0.9245326173	0.9245326173	45.23094994	0.9485995772	1.897199154	1.195495284e-15	-1.467347973	-1.691077936e-15	0.7336739867	0.000000000	0.000000000	0.000000000	0.000000000	0.000000000
diff --git a/test/checkpoint/checkpoint.chkpt.it_1.h5 b/test/checkpoint/checkpoint.chkpt.it_1.h5
deleted file mode 100644
index c09ad51..0000000
--- a/test/checkpoint/checkpoint.chkpt.it_1.h5
+++ /dev/null
diff --git a/test/checkpoint/h.ah1.dx b/test/checkpoint/h.ah1.dx
deleted file mode 100644
index 42d895a..0000000
--- a/test/checkpoint/h.ah1.dx
+++ /dev/null
@@ -1,15 +0,0 @@
-# list the size of each patch (N_rho x N_sigma)
-object "+z patch" class array type int rank 1 shape 2 items 1 data follows 19 19
-object "+x patch" class array type int rank 1 shape 2 items 1 data follows 10 19
-object "+y patch" class array type int rank 1 shape 2 items 1 data follows 10 19
-object "-x patch" class array type int rank 1 shape 2 items 1 data follows 10 19
-object "-y patch" class array type int rank 1 shape 2 items 1 data follows 10 19
-
-# collect all patch sizes into a single OpenDX group
-# for the ImportAHFinderDirectGnuplot macro to read
-object "patchsizes" class group
-member 0 value "+z patch"
-member 1 value "+x patch"
-member 2 value "+y patch"
-member 3 value "-x patch"
-member 4 value "-y patch"
diff --git a/test/checkpoint/h.ah2.dx b/test/checkpoint/h.ah2.dx
deleted file mode 100644
index 42d895a..0000000
--- a/test/checkpoint/h.ah2.dx
+++ /dev/null
@@ -1,15 +0,0 @@
-# list the size of each patch (N_rho x N_sigma)
-object "+z patch" class array type int rank 1 shape 2 items 1 data follows 19 19
-object "+x patch" class array type int rank 1 shape 2 items 1 data follows 10 19
-object "+y patch" class array type int rank 1 shape 2 items 1 data follows 10 19
-object "-x patch" class array type int rank 1 shape 2 items 1 data follows 10 19
-object "-y patch" class array type int rank 1 shape 2 items 1 data follows 10 19
-
-# collect all patch sizes into a single OpenDX group
-# for the ImportAHFinderDirectGnuplot macro to read
-object "patchsizes" class group
-member 0 value "+z patch"
-member 1 value "+x patch"
-member 2 value "+y patch"
-member 3 value "-x patch"
-member 4 value "-y patch"
diff --git a/test/checkpoint/h.t0.ah1.gp b/test/checkpoint/h.t0.ah1.gp
deleted file mode 100644
index de2bac7..0000000
--- a/test/checkpoint/h.t0.ah1.gp
+++ /dev/null
@@ -1,1228 +0,0 @@
-# N_patches = 5
-# origin = 0.4 0.6 0
-
-### +z patch
-# N_rho = 19
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = dsigma = dnu
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--45	-45	2.36774053598978	-0.9670156358	-0.7670156358	1.367015636
--40	-45	2.35122087381568	-0.7997659523	-0.8298253839	1.429825384
--35	-45	2.33200297469580	-0.6347391178	-0.8777606085	1.477760609
--30	-45	2.31072882978876	-0.4733734044	-0.9127271104	1.512727110
--25	-45	2.28785384474025	-0.3164313947	-0.9363920840	1.536392084
--20	-45	2.26368579949801	-0.1642091286	-0.9501518406	1.550151841
--15	-45	2.23841735658443	-0.01669658508	-0.9551328268	1.555132827
--10	-45	2.21215091200107	0.1263037737	-0.9522084321	1.552208432
--5	-45	2.18491793368933	0.2650905261	-0.9420223427	1.542022343
-0	-45	2.15669649417564	0.4000000000	-0.9250147160	1.525014716
-5	-45	2.12742066469205	0.5313592599	-0.9014432106	1.501443211
-10	-45	2.09698637225448	0.6594476053	-0.8714004869	1.471400487
-15	-45	2.06526174582898	0.7844624928	-0.8348335566	1.434833557
-20	-45	2.03208969107849	0.9064852879	-0.7915568917	1.391556892
-25	-45	1.99729504939619	1.025444183	-0.7412693780	1.341269378
-30	-45	1.96069254298067	1.141072124	-0.6835745704	1.283574570
-35	-45	1.92209845977759	1.252859317	-0.6180093338	1.218009334
-40	-45	1.88134396947486	1.360000170	-0.5440836518	1.144083652
-45	-45	1.83830472360879	1.461345727	-0.4613457270	1.061345727
-
--45	-40	2.32681304637762	-1.014982486	-0.5873112822	1.414982486
--40	-40	2.30881508692193	-0.8484137274	-0.6484137274	1.487801545
--35	-40	2.28804061672008	-0.6815203944	-0.6960491204	1.544571195
--30	-40	2.26511495654892	-0.5161976540	-0.7315679486	1.586900886
--25	-40	2.24050506260204	-0.3536935128	-0.7562375345	1.616300954
--20	-40	2.21454490170041	-0.1947678704	-0.7711821839	1.634111294
--15	-40	2.18746069776519	-0.03983045378	-0.7773565362	1.641469600
--10	-40	2.15939208489336	0.1109465979	-0.7755387978	1.639303304
--5	-40	2.13040989354980	0.2575390811	-0.7663359303	1.628335754
-0	-40	2.10053484593718	0.4000000000	-0.7501977727	1.609103046
-5	-40	2.06974633878964	0.5384043353	-0.7274294294	1.581968791
-10	-40	2.03799065475331	0.6728027653	-0.6982057473	1.547141363
-15	-40	2.00519249552974	0.8031819754	-0.6625895372	1.504695617
-20	-40	1.97126013164066	0.9294280507	-0.6205472873	1.454591615
-25	-40	1.93609554067447	1.051291833	-0.5719703233	1.396699843
-30	-40	1.89960227291468	1.168354445	-0.5166980706	1.330828937
-35	-40	1.86169794841213	1.279994999	-0.4545494564	1.256763103
-40	-40	1.82232977314013	1.385363236	-0.3853632357	1.174310176
-45	-40	1.78149208809736	1.483361686	-0.3090483907	1.083361686
-
--45	-35	2.28515932585390	-1.048076384	-0.4139540002	1.448076384
--40	-35	2.26523610667442	-0.8831316202	-0.4707410653	1.529176718
--35	-35	2.24256784724616	-0.7157735132	-0.5157735132	1.593489719
--30	-35	2.21775989372435	-0.5481701018	-0.5499359889	1.642278790
--25	-35	2.19128430779571	-0.3819180466	-0.5741280695	1.676828662
--20	-35	2.16349597239135	-0.2181503974	-0.5892004545	1.698354259
--15	-35	2.13465110478996	-0.05764286415	-0.5959169587	1.707946421
--10	-35	2.10492470115087	0.09909027262	-0.5949348794	1.706543866
--5	-35	2.07442673300423	0.2517133791	-0.5867984447	1.694923833
-0	-35	2.04322036035844	0.4000000000	-0.5719430530	1.673708135
-5	-35	2.01132974215353	0.5437762473	-0.5507000810	1.643370027
-10	-35	1.97874983725944	0.6828723867	-0.5233072598	1.604249024
-15	-35	1.94545812301066	0.8170822227	-0.4899234804	1.556572046
-20	-35	1.91142176374595	0.9461281823	-0.4506438002	1.500474849
-25	-35	1.87660517526440	1.069630795	-0.4055175423	1.436027874
-30	-35	1.84098215299650	1.187084409	-0.3545720611	1.363270186
-35	-35	1.80454176577439	1.297836785	-0.2978367848	1.282243815
-40	-35	1.76730555747890	1.401081360	-0.2353772173	1.193042308
-45	-35	1.72933339735950	1.495856567	-0.1673270289	1.095856567
-
--45	-30	2.24330801468346	-1.068589826	-0.2478907316	1.468589826
--40	-30	2.22110219810123	-0.9056946575	-0.2983952966	1.556066299
--35	-30	2.19626740219231	-0.7387918657	-0.3389813082	1.626363333
--30	-30	2.16939209173755	-0.5701816374	-0.3701816374	1.680403889
--25	-30	2.14095257659212	-0.4016873608	-0.3925944931	1.719224093
--20	-30	2.11132342234803	-0.2347199365	-0.4068288330	1.743878693
--15	-30	2.08078959594223	-0.07035130263	-0.4134662050	1.755374959
--10	-30	2.04956000754158	0.09061115674	-0.4130368661	1.754631322
--5	-30	2.01778278576970	0.2475547791	-0.4060079305	1.742456848
-0	-30	1.98556064870947	0.4000000000	-0.3927803244	1.719545963
-5	-30	1.95295855621570	0.5475476948	-0.3736884512	1.686477868
-10	-30	1.92001396299097	0.6898333773	-0.3490060895	1.643726764
-15	-30	1.88674850372680	0.8264893568	-0.3189568468	1.591679949
-20	-30	1.85317437170415	0.9571134707	-0.2837250467	1.530656681
-25	-30	1.81930160994545	1.081244004	-0.2434697616	1.460932482
-30	-30	1.78514910824751	1.198342951	-0.1983429512	1.382770553
-35	-30	1.75074755937857	1.307784306	-0.1485059570	1.296450347
-40	-30	1.71615464804938	1.408856755	-0.09415322957	1.202308662
-45	-30	1.68145218775133	1.500768847	-0.03552919003	1.100768847
-
--45	-25	2.20157245313730	-1.078450425	-0.08941275543	1.478450425
--40	-25	2.17682629122044	-0.9176910740	-0.1322723263	1.570363071
--35	-25	2.14963407318379	-0.7518111528	-0.1670559541	1.644956802
--30	-25	2.12057283497370	-0.5831459796	-0.1940560936	1.702858788
--25	-25	2.09012525908650	-0.4136473482	-0.2136473482	1.744872369
--20	-25	2.05868587290249	-0.2449148733	-0.2262454343	1.771889052
--15	-25	2.02656683413624	-0.07824073451	-0.2322746373	1.784818719
--10	-25	1.99400894117168	0.08533699968	-0.2321458588	1.784542553
--5	-25	1.96119514020505	0.2449801419	-0.2262435852	1.771885086
-0	-25	1.92826294503175	0.4000000000	-0.2149191340	1.747599723
-5	-25	1.89531176231639	0.5498122010	-0.1984871844	1.712361293
-10	-25	1.86241223513770	0.6938964864	-0.1772275223	1.666769800
-15	-25	1.82961785711242	0.8317635980	-0.1513912262	1.611363685
-20	-25	1.79697056078567	0.9629285442	-0.1212070287	1.546633464
-25	-25	1.76450621236876	1.086889838	-0.08688983797	1.473040011
-30	-25	1.73226509272302	1.203117645	-0.04865286862	1.391040566
-35	-25	1.70029323768170	1.311046554	-0.006717239889	1.301109320
-40	-25	1.66865390942687	1.410080763	0.03867405272	1.203767379
-45	-25	1.63742289201364	1.499599773	0.08724820472	1.099599773
-
--45	-20	2.16011007608687	-1.079224109	0.06160645442	1.479224109
--40	-20	2.13266405567139	-0.9204839311	0.02722314741	1.573691469
--35	-20	2.10301019238487	-0.7559534700	-0.0008685029801	1.650872644
--30	-20	2.07172041937242	-0.5879433109	-0.02281422125	1.711168009
--25	-20	2.03928627445646	-0.4184594821	-0.03883765201	1.755192024
--20	-20	2.00612098541068	-0.2492120005	-0.04921200046	1.783695312
--15	-20	1.97256142725637	-0.08163812440	-0.05423575037	1.797497951
--10	-20	1.93887628803531	0.08306263285	-0.05421506855	1.797441128
--5	-20	1.90527753115467	0.2438891427	-0.04945220329	1.784355264
-0	-20	1.87193029901303	0.4000000000	-0.04023786916	1.759039089
-5	-20	1.83895939255499	0.5506770130	-0.02684633064	1.722246139
-10	-20	1.80645785545186	0.6952916595	-0.009534479855	1.674682220
-15	-20	1.77449769205771	0.8332771230	0.01145567735	1.617012237
-20	-20	1.74313487167787	0.9641055975	0.03589440251	1.549867391
-25	-20	1.71241403872035	1.087270603	0.06356008106	1.473856564
-30	-20	1.68237742973447	1.202276945	0.09423262958	1.389584430
-35	-20	1.65306515542150	1.308633924	0.1276890293	1.297663727
-40	-20	1.62452742997423	1.405860422	0.1636951325	1.198737772
-45	-20	1.59681553681558	1.493485034	0.2020039960	1.093485034
-
--45	-15	2.11897068500660	-1.072147659	0.2055392236	1.472147659
--40	-15	2.08875417946018	-0.9152049883	0.1800163635	1.567400270
--35	-15	2.05661884515893	-0.7522001647	0.1590862897	1.645512369
--30	-15	2.02313613566560	-0.5853855986	0.1426809521	1.706737922
--25	-15	1.98880625844382	-0.4167670464	0.1306702203	1.751562583
--20	-15	1.95405796259963	-0.2480987409	0.1228798459	1.780636656
--15	-15	1.91924758403345	-0.08089206215	0.1191079379	1.794713609
--10	-15	1.88466478661716	0.08356305232	0.1191375464	1.794603108
--5	-15	1.85054201751609	0.2441706500	0.1227456130	1.781137620
-0	-15	1.81706263413810	0.4000000000	0.1297095841	1.755147726
-5	-15	1.78436622714240	0.5502568581	0.1398123351	1.717443746
-10	-15	1.75255650727177	0.6942558463	0.1528442892	1.668807831
-15	-15	1.72171167403533	0.8313969100	0.1686030900	1.609995186
-20	-15	1.69188808673656	0.9611453497	0.1868935722	1.541734177
-25	-15	1.66312542093554	1.083015770	0.2075262313	1.464732045
-30	-15	1.63545478010680	1.196562109	0.2303142385	1.379686045
-35	-15	1.60889891578986	1.301369546	0.2550719196	1.287289121
-40	-15	1.58348263547742	1.397055700	0.2816107888	1.188244713
-45	-15	1.55922543004343	1.483266552	0.3097396023	1.083266552
-
--45	-10	2.07812773820723	-1.058167877	0.3428856609	1.458167877
--40	-10	2.04515007643123	-0.9027663189	0.3262388839	1.552576441
--35	-10	2.01059297575861	-0.7413841425	0.3125754741	1.630065488
--30	-10	1.97502870567306	-0.5761982489	0.3018619389	1.690824965
--25	-10	1.93896289386043	-0.4091738754	0.2940234975	1.735278976
--20	-10	1.90283306219203	-0.2420533739	0.2889544193	1.764027147
--15	-10	1.86700631682879	-0.07635698658	0.2865279256	1.777788476
--10	-10	1.83178313902848	0.08660412491	0.2866041249	1.777356329
--5	-10	1.79740524426130	0.2457080687	0.2890359356	1.763564845
-0	-10	1.76406293250545	0.4000000000	0.2936736865	1.737262853
-5	-10	1.73189923913464	0.5486687987	0.3003689467	1.699292145
-10	-10	1.70101739691227	0.6910234428	0.3089765572	1.650475960
-15	-10	1.67149135977089	0.8264723585	0.3193550664	1.591616510
-20	-10	1.64336777685310	0.9545046734	0.3313677723	1.523489069
-25	-10	1.61667284049358	1.074674813	0.3448822239	1.446844805
-30	-10	1.59141917327649	1.186591408	0.3597692503	1.362416283
-35	-10	1.56760692548138	1.289907459	0.3759025906	1.270919564
-40	-10	1.54523170373324	1.384316917	0.3931573038	1.173063222
-45	-10	1.52428314305857	1.469549611	0.4114095464	1.069549611
-
--45	-5	2.03750334768809	-1.037983385	0.4741927555	1.437983385
--40	-5	2.00184614137711	-0.8838817160	0.4661361639	1.530070648
--35	-5	1.96500100463059	-0.7241949880	0.4595354782	1.605516831
--30	-5	1.92753814661295	-0.5610145728	0.4543728390	1.664526067
--25	-5	1.88996189398499	-0.3962333065	0.4506106717	1.707527836
--20	-5	1.85270735104592	-0.2315325991	0.4481965340	1.735121556
--15	-5	1.81614007075027	-0.06838213232	0.4470675489	1.748025915
--10	-5	1.78055809849404	0.09195061326	0.4471542526	1.747034887
--5	-5	1.74619895778808	0.2483834923	0.4483834923	1.732984613
-0	-5	1.71324738201501	0.4000000000	0.4506806519	1.706727958
-5	-5	1.68183856266423	0.5460283138	0.4539716862	1.669111265
-10	-5	1.65206658908514	0.6858194293	0.4581841543	1.620962533
-15	-5	1.62399247727164	0.8188273094	0.4632478000	1.563084798
-20	-5	1.59764718996971	0.9445902083	0.4690951484	1.496249300
-25	-5	1.57304062661503	1.062715658	0.4756612589	1.421198314
-30	-5	1.55016447149790	1.172867012	0.4828837440	1.338644932
-35	-5	1.52899729913962	1.274753293	0.4907024098	1.249277172
-40	-5	1.50950918563574	1.368121977	0.4990588308	1.153762844
-45	-5	1.49166481662662	1.452753717	0.5078959843	1.052753717
-
--45	0	1.99698723092236	-1.012083213	0.6000000000	1.412083213
--40	0	1.95879883457746	-0.8590916207	0.6000000000	1.500526962
--35	0	1.91986865131023	-0.7011914193	0.6000000000	1.572664330
--30	0	1.88075687872847	-0.5403784394	0.6000000000	1.628783235
--25	0	1.84195465461209	-0.3784436743	0.6000000000	1.669377847
--20	0	1.80388129026632	-0.2169637374	0.6000000000	1.695093937
--15	0	1.76688470743452	-0.05730341278	0.6000000000	1.706679571
--10	0	1.73124482460442	0.09937249111	0.6000000000	1.704943326
--5	0	1.69718018390558	0.2520810005	0.6000000000	1.690721901
-0	0	1.66485718742288	0.4000000000	0.6000000000	1.664857187
-5	0	1.63439319706684	0.5424467530	0.6000000000	1.628173838
-10	0	1.60586456688937	0.6788554556	0.6000000000	1.581467876
-15	0	1.57931447626547	0.8087566647	0.6000000000	1.525500640
-20	0	1.55475674434190	0.9317581245	0.6000000000	1.460993440
-25	0	1.53218556851921	1.047529602	0.6000000000	1.388631712
-30	0	1.51157494623813	1.155787473	0.6000000000	1.309062303
-35	0	1.49288780070346	1.256285265	0.6000000000	1.222902094
-40	0	1.47607627477117	1.348803540	0.6000000000	1.130740028
-45	0	1.46108914751722	1.433146044	0.6000000000	1.033146044
-
--45	5	1.95644726604323	-0.9807774425	0.7208023731	1.380777443
--40	5	1.91593948997600	-0.8287855841	0.7281192418	1.464409634
--35	5	1.87519200793497	-0.6728144422	0.7340446891	1.532137807
--30	5	1.83474240824497	-0.5147493111	0.7386163633	1.584392283
--25	5	1.79505192016407	-0.3562481181	0.7418873055	1.621779323
--20	5	1.75650669556266	-0.1987406689	0.7439211672	1.645026468
--15	5	1.71941961511969	-0.04343794768	0.7447878721	1.654932951
--10	5	1.68403553605120	0.1086497124	0.7445601075	1.652329589
--5	5	1.65053927834336	0.2566892964	0.7433107036	1.638048837
-0	5	1.61906642097786	0.4000000000	0.7411109365	1.612905384
-5	5	1.58970710385848	0.5380288531	0.7380288531	1.577677010
-10	5	1.56251415710921	0.6703262130	0.7341285321	1.533096137
-15	5	1.53751094826772	0.7965237418	0.7294698144	1.479846751
-20	5	1.51469636814695	0.9163147508	0.7241081914	1.418563119
-25	5	1.49405158156239	1.029437892	0.7180951653	1.349833916
-30	5	1.47554028370875	1.135661558	0.7114783346	1.274203195
-35	5	1.45911862486442	1.234775067	0.7043024403	1.192182348
-40	5	1.44473137486468	1.326576802	0.6966094646	1.104251233
-45	5	1.43232250126659	1.410872429	0.6884398778	1.010872429
-
--45	10	1.91574131651463	-0.9442255721	0.8370232365	1.344225572
--40	10	1.87318991715201	-0.7932272165	0.8507427540	1.422032822
--35	10	1.83095400595327	-0.6394057342	0.8617442184	1.484425227
--30	10	1.78953274978949	-0.4845130867	0.8701367442	1.532021606
--25	10	1.74933783813605	-0.3300389720	0.8760528709	1.565573628
--20	10	1.71070105725816	-0.1772242491	0.8796388261	1.585910590
--15	10	1.67388162781400	-0.02708222298	0.8810462618	1.593892555
--10	10	1.63907273475134	0.1195745375	0.8804254625	1.590371828
--5	10	1.60641170374353	0.2621032374	0.8779208051	1.576167209
-0	10	1.57599233385680	0.4000000000	0.8736681968	1.552049469
-5	10	1.54787049883647	0.5328714988	0.8677927546	1.518728181
-10	10	1.52207216153705	0.6604080837	0.8604080837	1.476847631
-15	10	1.49860185809569	0.7823604981	0.8516166276	1.426988806
-20	10	1.47744560472265	0.8985192627	0.8415098493	1.369670417
-25	10	1.45857756051648	1.008698011	0.8301696757	1.305357097
-30	10	1.44196074864310	1.112718531	0.8176694346	1.234464707
-35	10	1.42755382210390	1.210401367	0.8040761036	1.157373096
-40	10	1.41530787204851	1.301555073	0.7894512619	1.074431497
-45	10	1.40517348801627	1.385973482	0.7738537271	0.9859734816
-
--45	15	1.87472180274653	-0.9024565808	0.9489921890	1.302456581
--40	15	1.83046836158690	-0.7525727363	0.9680503750	1.373582699
--35	15	1.78713472038399	-0.6012243756	0.9831396382	1.429896596
--30	15	1.74515841439468	-0.4499941939	0.9944836783	1.472233130
--25	15	1.70488097531089	-0.3001640269	1.002327481	1.501506601
--20	15	1.66655725803711	-0.1527439213	1.006921428	1.518651442
--15	15	1.63037422005398	-0.008511141177	1.008511141	1.524584334
--10	15	1.59645830080726	0.1319531858	1.007328062	1.520169024
--5	15	1.56488782765227	0.2682248495	1.003584233	1.506196863
-0	15	1.53570670174863	0.4000000000	0.9974701421	1.483378765
-5	15	1.50893250772401	0.5270632980	0.9891533681	1.452340142
-10	15	1.48456349391901	0.6492595734	0.9787786822	1.413621287
-15	15	1.46258542070736	0.7664695086	0.9664695086	1.367682826
-20	15	1.44297606226052	0.8785891652	0.9523298563	1.314912925
-25	15	1.42570953341431	0.9855133247	0.9364470211	1.255637377
-30	15	1.41075726784216	1.087121282	0.9188940967	1.190128971
-35	15	1.39809043741554	1.183266202	0.8997333432	1.118620065
-40	15	1.38768004398877	1.273766638	0.8790193872	1.041314529
-45	15	1.37949609789586	1.358400211	0.8568025625	0.9584002108
-
--45	20	1.83324612498524	-0.8553905916	1.056924808	1.255390592
--40	20	1.78770106845255	-0.7068928218	1.080128968	1.319143497
--35	20	1.74372052998915	-0.5584641123	1.098212870	1.368828612
--30	20	1.70165207309607	-0.4114684623	1.111561841	1.405504605
--25	20	1.66174190160692	-0.2669335410	1.120566096	1.430243594
--20	20	1.62415038845381	-0.1256003653	1.125600365	1.444075135
--15	20	1.58897370725648	0.01202206151	1.127011930	1.447953379
--10	20	1.55625976566893	0.1456068364	1.125112714	1.442735324
--5	20	1.52602013066041	0.2749639846	1.120174683	1.429168196
-0	20	1.49824467265350	0.4000000000	1.112429858	1.407889463
-5	20	1.47290979618553	0.5206843660	1.102070956	1.379428616
-10	20	1.44998629732761	0.6370212284	1.089253951	1.344214183
-15	20	1.42944371669358	0.7490256786	1.074100918	1.302581566
-20	20	1.41125612885389	0.8567044666	1.056704467	1.254785209
-25	20	1.39540340952993	0.9600396405	1.037131485	1.201008885
-30	20	1.38187275652957	1.058974992	1.015427679	1.141378167
-35	20	1.37065864256344	1.153404629	0.9916222611	1.075973319
-40	20	1.36176255571846	1.243164008	0.9657332099	1.004843736
-45	20	1.35518901789064	1.328021350	0.9377721480	0.9280213495
-
--45	25	1.79118362611084	-0.8028567080	1.160901295	1.202856708
--40	25	1.74483166291744	-0.6561931915	1.186951722	1.258722030
--35	25	1.70071488115662	-0.5112724776	1.206867695	1.301431972
--30	25	1.65905851871804	-0.3691774061	1.221240405	1.332254347
--25	25	1.61998795711632	-0.2306315374	1.230631537	1.352393696
--20	25	1.58355135330546	-0.09607170952	1.235552074	1.362945820
--15	25	1.54974262465356	0.03428294659	1.236451490	1.364874625
--10	25	1.51852378242794	0.1603705582	1.233714950	1.359006096
--5	25	1.48983606130535	0.2822380445	1.227661911	1.346025311
-0	25	1.46361414608680	0.4000000000	1.218550066	1.326484898
-5	25	1.43979420152165	0.5138064685	1.206579477	1.300813887
-10	25	1.41832104440981	0.6238170281	1.191898040	1.269329442
-15	25	1.39915130875227	0.7301796607	1.174606338	1.232247269
-20	25	1.38225805829415	0.8330135026	1.154763806	1.189694821
-25	25	1.36763080251282	0.9323935352	1.132393535	1.141721621
-30	25	1.35527871839056	1.028338155	1.107488970	1.088313609
-35	25	1.34522676889198	1.120795793	1.080018537	1.029403074
-40	25	1.33751577987335	1.209634012	1.049932912	0.9648842430
-45	25	1.33219894790031	1.294628790	1.017172256	0.8946287905
-
--45	30	1.74842659689138	-0.7446138896	1.260843137	1.144613890
--40	30	1.70183260898175	-0.6004374168	1.288360226	1.192274886
--35	30	1.65814485795961	-0.4597686578	1.308915056	1.227876895
--30	30	1.61743653075193	-0.3233396064	1.323339606	1.252860949
--25	30	1.57968834334203	-0.1915199583	1.332379581	1.268518644
--20	30	1.54482280312354	-0.06441479367	1.336681137	1.275969159
--15	30	1.51272680118406	0.05805623844	1.336786407	1.276151491
--10	30	1.48327400348113	0.1760941731	1.333138450	1.269833045
--5	30	1.45633699189041	0.2899724906	1.326087354	1.257620187
-0	30	1.43179830653501	0.4000000000	1.315899153	1.239973707
-5	30	1.40955724606688	0.5064932595	1.302764330	1.217223526
-10	30	1.38953572755077	0.6097556792	1.286806394	1.189583570
-15	30	1.37167867078023	0.7100605899	1.268087720	1.157161875
-20	30	1.35596045862556	0.8076377532	1.246618169	1.119975522
-25	30	1.34238250970291	0.9026599389	1.222359178	1.077957718
-30	30	1.33097737761363	0.9952311786	1.195231179	1.030970644
-35	30	1.32180362873742	1.085371562	1.165117389	0.9788120305
-40	30	1.31494888401254	1.173004382	1.131872821	0.9212307498
-45	30	1.31052536851736	1.257940243	1.095332030	0.8579402431
-
--45	35	1.70490288875921	-0.6803752644	1.356486904	1.080375264
--40	35	1.65871579317084	-0.5395712336	1.384048563	1.119737393
--35	35	1.61607585242884	-0.4040669243	1.404066924	1.148326575
--30	35	1.57687320414192	-0.2741685746	1.417628298	1.167694224
--25	35	1.54092919593242	-0.1498512185	1.425656541	1.179159743
--20	35	1.50803394615201	-0.03087289969	1.428915180	1.183813563
--15	35	1.47796913561084	0.08314164932	1.428017445	1.182531464
--10	35	1.45052524327723	0.1926400145	1.423441905	1.175996916
--5	35	1.42551286705214	0.2980998062	1.415548906	1.164724545
-0	35	1.40276891636661	0.4000000000	1.404595196	1.149081026
-5	35	1.38216108512296	0.4988012706	1.390746957	1.129303690
-10	35	1.36359148164362	0.5949323607	1.374090884	1.105516353
-15	35	1.34699675011262	0.6887794869	1.354641474	1.077739717
-20	35	1.33235156426010	0.7806772277	1.332348526	1.045902087
-25	35	1.31966813664457	0.8708984260	1.307101035	1.009844934
-30	35	1.30899992301084	0.9596433562	1.278732682	0.9693307271
-35	35	1.30044031409683	1.047024731	1.247024731	0.9240470798
-40	35	1.29412417114945	1.133050140	1.211711905	0.8736151375
-45	35	1.29022680443860	1.217600307	1.172489898	0.8176003068
-
--45	40	1.66059545934913	-0.6098419790	1.447358032	1.009841979
--40	40	1.61554659151770	-0.4735522188	1.473552219	1.041058995
--35	40	1.57461371822782	-0.3442948508	1.491932035	1.062963208
--30	40	1.53748157076079	-0.2218832312	1.503822199	1.077133353
--25	40	1.50380767233783	-0.1058725847	1.510294935	1.084847259
--20	40	1.47325288338094	0.004323452932	1.512195596	1.087112378
--15	40	1.44550339479460	0.1093541316	1.510175690	1.084705148
--10	40	1.42027852431993	0.2098833731	1.504721392	1.078204970
--5	40	1.39733823753007	0.3065597236	1.496181268	1.068027246
-0	40	1.37648329085023	0.4000000000	1.484786404	1.054447376
-5	40	1.35755699484174	0.4907800970	1.470667614	1.037621257
-10	40	1.34044592300512	0.5794303392	1.453867802	1.017600021
-15	40	1.32507892358033	0.6664322449	1.434349215	0.9943386746
-20	40	1.31142968834959	0.7522151402	1.411999352	0.9677031444
-25	40	1.29951772729732	0.8371505770	1.386632777	0.9374724376
-30	40	1.28941152094997	0.9215434241	1.357992017	0.9033397090
-35	40	1.28123361972162	1.005618746	1.325748352	0.8649132053
-40	40	1.27516077697512	1.089500094	1.289500094	0.8217142137
-45	40	1.27143021650190	1.173182655	1.248777281	0.7731826549
-
--45	45	1.61556268128413	-0.5327455489	1.532745549	0.9327455489
--40	45	1.57245752512453	-0.4023835706	1.556243503	0.9562435030
--35	45	1.53391710926097	-0.2806183584	1.572023752	0.9720237519
--30	45	1.49941219689234	-0.1667245408	1.581595699	0.9815956986
--25	45	1.46844314572783	-0.05983652905	1.586122619	0.9861226188
--20	45	1.44055881090294	0.04094998009	1.586481822	0.9864818222
--15	45	1.41536713590656	0.1365198003	1.583321492	0.9833214921
--10	45	1.39253443896351	0.2277100270	1.577104992	0.9771049915
--5	45	1.37178468785884	0.3152980770	1.568147410	0.9681474098
-0	45	1.35289504261093	0.4000000000	1.556641259	0.9566412589
-5	45	1.33569275612624	0.4824733983	1.542675256	0.9426752562
-10	45	1.32005359202570	0.5633223505	1.526247077	0.9262470771
-15	45	1.30589979319721	0.6431021108	1.507269429	0.9072694290
-20	45	1.29320179644381	0.7223222317	1.485573053	0.8855730533
-25	45	1.28197989923077	0.8014463814	1.460904543	0.8609045432
-30	45	1.27230885225735	0.8808875448	1.432921660	0.8329216604
-35	45	1.26432670506498	0.9609976975	1.401187743	0.8011877435
-40	45	1.25824179554964	1.042047577	1.365162507	0.7651625070
-45	45	1.25434271661997	1.124195105	1.324195105	0.7241951051
-
-
-### +x patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = drho = dnu
-# dpy = dsigma = dphi
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-45	1.83830479449130	1.461345768	-0.4613457680	1.061345768
-45	-40	1.78149219639255	1.483361751	-0.3090484460	1.083361751
-45	-35	1.72933349625295	1.495856629	-0.1673270727	1.095856629
-45	-30	1.68145224280713	1.500768883	-0.03552921084	1.100768883
-45	-25	1.63742295720241	1.499599817	0.08724818430	1.099599817
-45	-20	1.59681556499748	1.493485053	0.2020039890	1.093485053
-45	-15	1.55922545913146	1.483266572	0.3097395969	1.083266572
-45	-10	1.52428315598914	1.469549620	0.4114095448	1.069549620
-45	-5	1.49166482623664	1.452753723	0.5078959837	1.052753723
-45	0	1.46108915262619	1.433146048	0.6000000000	1.033146048
-45	5	1.43232250331743	1.410872431	0.6884398779	1.010872431
-45	10	1.40517349130758	1.385973484	0.7738537275	0.9859734840
-45	15	1.37949609636211	1.358400210	0.8568025622	0.9584002097
-45	20	1.35518902772252	1.328021356	0.9377721504	0.9280213562
-45	25	1.33219896548052	1.294628802	1.017172262	0.8946288023
-45	30	1.31052539938455	1.257940263	1.095332042	0.8579402633
-45	35	1.29022681947275	1.217600316	1.172489905	0.8176003164
-45	40	1.27143024994585	1.173182675	1.248777298	0.7731826752
-45	45	1.25434271706115	1.124195105	1.324195105	0.7241951054
-
-50	-45	1.85237873681580	1.526469303	-0.5264693029	0.9452199766
-50	-40	1.79292992999465	1.555364903	-0.3694662641	0.9694662641
-50	-35	1.73766789138265	1.573035021	-0.2213679641	0.9842932533
-50	-30	1.68643326472611	1.581486368	-0.08213147253	0.9913847755
-50	-25	1.63897221674841	1.582354998	0.04865881000	0.9921136423
-50	-20	1.59498673694366	1.576939713	0.1716289771	0.9875696788
-50	-15	1.55416885312157	1.566247663	0.2875048806	0.9785979836
-50	-10	1.51621971861664	1.551038763	0.3970408102	0.9658362016
-50	-5	1.48086759773331	1.531871225	0.5009740992	0.9497527274
-50	0	1.44786941510493	1.509132320	0.6000000000	0.9306725205
-50	5	1.41702222990290	1.483072308	0.6947565487	0.9088055743
-50	10	1.38816013235034	1.453822281	0.7858173009	0.8842618869
-50	15	1.36115970594454	1.421413679	0.8736869704	0.8570678411
-50	20	1.33594078591003	1.385789868	0.9587981692	0.8271759146
-50	25	1.31247036631672	1.346816475	1.041507773	0.7944733549
-50	30	1.29076616861048	1.304288752	1.122091354	0.7587883583
-50	35	1.27090125698658	1.257938211	1.200734803	0.7198956366
-50	40	1.25300895598992	1.207439570	1.277522245	0.6775222451
-50	45	1.23728915508892	1.152420779	1.352420779	0.6313559981
-
-55	-45	1.86454883342915	1.581540868	-0.5815408679	0.8273238224
-55	-40	1.80307919756421	1.617191763	-0.4213451593	0.8522868478
-55	-35	1.74528995421142	1.640141564	-0.2683564719	0.8683564719
-55	-30	1.69121265976310	1.652364013	-0.1230527003	0.8769147228
-55	-25	1.64075906024446	1.655552194	0.01452639680	0.8791471107
-55	-20	1.59376933599282	1.651116237	0.1446309302	0.8760410201
-55	-15	1.55004413147773	1.640199075	0.2676896593	0.8683967414
-55	-10	1.50937025586495	1.623704844	0.3842278197	0.8568473560
-55	-5	1.47154096291099	1.602332100	0.4948095715	0.8418819996
-55	0	1.43636258910708	1.576599351	0.6000000000	0.8238637352
-55	5	1.40367029541593	1.546877930	0.7003388173	0.8030525720
-55	10	1.37332635738080	1.513408793	0.7963240108	0.7796172302
-55	15	1.34523050476490	1.476326534	0.8884008257	0.7536519529
-55	20	1.31932004085612	1.435672282	0.9769538829	0.7251855387
-55	25	1.29557393363627	1.391407413	1.062300869	0.6941909438
-55	30	1.27401507723612	1.343424014	1.144686108	0.6605926060
-55	35	1.25471314836662	1.291554967	1.224273508	0.6242735083
-55	40	1.23778736835187	1.235584255	1.301138441	0.5850823945
-55	45	1.22340938233671	1.175258957	1.375258957	0.5428421656
-
-60	-45	1.87486059659158	1.627384372	-0.6273843716	0.7086306974
-60	-40	1.81187382574288	1.669367884	-0.4651261236	0.7328698897
-60	-35	1.75206778687140	1.697427992	-0.3084688604	0.7490704005
-60	-30	1.69563144618911	1.713430470	-0.1583094357	0.7583094357
-60	-25	1.64262516160837	1.719058061	-0.01508687534	0.7615585265
-60	-20	1.59302250004064	1.715780409	0.1210950964	0.7596661732
-60	-15	1.54673595024327	1.704841951	0.2503686531	0.7533508514
-60	-10	1.50364498589378	1.687272673	0.3730190962	0.7432072243
-60	-5	1.46361658519142	1.663906482	0.4894225111	0.7297167477
-60	0	1.42651327986230	1.635396739	0.6000000000	0.7132566399
-60	5	1.39221330487559	1.602246161	0.7051829098	0.6941171446
-60	10	1.36060930178760	1.564819615	0.8053891257	0.6725089180
-60	15	1.33162220978225	1.523369843	0.9010060422	0.6485778812
-60	20	1.30520051426651	1.478049598	0.9923779648	0.6224122258
-60	25	1.28132715009367	1.428929147	1.079797541	0.5940525199
-60	30	1.26001954497772	1.376006943	1.163497871	0.5634978711
-60	35	1.24133133248857	1.319221294	1.243645679	0.5307126615
-60	40	1.22535416258881	1.258462217	1.320335329	0.4956333920
-60	45	1.21221832465335	1.193583176	1.393583176	0.4581754602
-
-65	-45	1.88339117300100	1.664778035	-0.6647780346	0.5897756834
-65	-40	1.81928919169691	1.712435712	-0.5012643216	0.6119988232
-65	-35	1.75790821517852	1.745197823	-0.3419176561	0.6272760467
-65	-30	1.69955864206695	1.764776687	-0.1879541879	0.6364058210
-65	-25	1.64442974357895	1.772798118	-0.04014627560	0.6401462756
-65	-20	1.59261525310533	1.770747023	0.1010888851	0.6391898340
-65	-15	1.54413465282378	1.759935625	0.2356063476	0.6341483964
-65	-10	1.49896057405972	1.741497961	0.3634577148	0.6255507728
-65	-5	1.45703323675321	1.716388874	0.4848308967	0.6138422131
-65	0	1.41827400996473	1.685392779	0.6000000000	0.5993884968
-65	5	1.38260620481848	1.649146128	0.7092861252	0.5824864054
-65	10	1.34995309008642	1.608143396	0.8130282773	0.5633665177
-65	15	1.32025408664648	1.562761656	0.9115610467	0.5422046648
-65	20	1.29346477896410	1.513271389	1.005197648	0.5191269742
-65	25	1.26956402280055	1.459853793	1.094217940	0.4942179403
-65	30	1.24855644205230	1.402613669	1.178859271	0.4675264318
-65	35	1.23047153776746	1.341589339	1.259307953	0.4390703195
-65	40	1.21536652141709	1.276765735	1.335693805	0.4088425767
-65	45	1.20332605223748	1.208085108	1.408085108	0.3768162743
-
-70	-45	1.89022481351934	1.694409089	-0.6944090892	0.4711263794
-70	-40	1.82532333858984	1.746904947	-0.5301874439	0.4902333089
-70	-35	1.76274485664893	1.783762795	-0.3689211403	0.5036484687
-70	-30	1.70289235059219	1.806529031	-0.2120599146	0.5119347009
-70	-25	1.64605757583686	1.816744262	-0.06063869892	0.5156527409
-70	-20	1.59243631101563	1.815877309	0.08466280419	0.5153371958
-70	-15	1.54214394730914	1.805279728	0.2234564318	0.5114799918
-70	-10	1.49523846061036	1.786165338	0.3555816511	0.5045229229
-70	-5	1.45173073980999	1.759593731	0.4810509616	0.4948516487
-70	0	1.41159872237301	1.726468903	0.6000000000	0.4827951973
-70	5	1.37480682343856	1.687551945	0.7126461989	0.4686305832
-70	10	1.34130746366503	1.643463142	0.8192561014	0.4525835711
-70	15	1.31105543300312	1.594700161	0.9201189433	0.4348352975
-70	20	1.28400953674825	1.541646893	1.015525487	0.4155254873
-70	25	1.26014064433333	1.484589660	1.105752465	0.3947583527
-70	30	1.23943587335188	1.423730324	1.191050978	0.3726073659
-70	35	1.22189757066792	1.359195196	1.271635707	0.3491185001
-70	40	1.20754754562587	1.291048576	1.347678532	0.3243151591
-70	45	1.19642617669412	1.219301972	1.419301972	0.2982015308
-
-75	-45	1.89544447378427	1.716853586	-0.7168535858	0.3528498549
-75	-40	1.82998857928058	1.773222671	-0.5522706366	0.3679539057
-75	-35	1.76653704723247	1.813416282	-0.3896847350	0.3787237512
-75	-30	1.70555715835399	1.838825114	-0.2307060666	0.3855320272
-75	-25	1.64741775147893	1.850898136	-0.07656491189	0.3887669838
-75	-20	1.59239517636929	1.851071195	0.07185327732	0.3888133548
-75	-15	1.54068429572343	1.840714109	0.2139618180	0.3860381820
-75	-10	1.49241525519275	1.821097839	0.3494221087	0.3807820184
-75	-5	1.44766035506236	1.793365995	0.4780962713	0.3733512932
-75	0	1.40644802144701	1.758524467	0.6000000000	0.3640155339
-75	5	1.36877927663799	1.717443344	0.7152613574	0.3530078801
-75	10	1.33462972100328	1.670852336	0.8240855553	0.3405238570
-75	15	1.30396623818357	1.619355946	0.9267254410	0.3267254410
-75	20	1.27674849341906	1.563437939	1.023456779	0.3117422561
-75	25	1.25293808904835	1.503475749	1.114559192	0.2956754359
-75	30	1.23250263904239	1.439751580	1.200300854	0.2786005961
-75	35	1.21541987026538	1.372464312	1.280926842	0.2605710270
-75	40	1.20167960219634	1.301739875	1.356649597	0.2416204713
-75	45	1.19128362603506	1.227640238	1.427640238	0.2217655333
-
-80	-45	1.89911954190295	1.732562508	-0.7325625076	0.2349667236
-80	-40	1.83330337328339	1.791752937	-0.5678193765	0.2454035933
-80	-35	1.76925973463820	1.834407296	-0.4043828012	0.2529247075
-80	-30	1.70749813112726	1.861791649	-0.2439658020	0.2577533079
-80	-25	1.64844015103941	1.875275028	-0.08793204322	0.2601307913
-80	-20	1.59241979842750	1.876257592	0.06268617858	0.2603040439
-80	-15	1.53969104322521	1.866114479	0.2071558093	0.2585155395
-80	-10	1.49043892599632	1.846154297	0.3450039792	0.2549960208
-80	-5	1.44478338743949	1.817581928	0.4759776517	0.2499579412
-80	0	1.40279205248777	1.781480489	0.6000000000	0.2435922836
-80	5	1.36449467897596	1.738804844	0.7171302465	0.2360674158
-80	10	1.32988504100776	1.690370865	0.8275271987	0.2275271987
-80	15	1.29893767914883	1.636865894	0.9314172175	0.2180928287
-80	20	1.27161179891108	1.578851565	1.029066880	0.2078633372
-80	25	1.24786043039426	1.516775353	1.120760899	0.1969176260
-80	30	1.22763557959266	1.450980616	1.206783942	0.1853162389
-80	35	1.21089393715756	1.381718548	1.287406728	0.1731034675
-80	40	1.19760018027371	1.309158622	1.362874664	0.1603091948
-80	45	1.18772707540620	1.233397022	1.433397022	0.1469503806
-
-85	-45	1.90130310456761	1.741859034	-0.7418590338	0.1173974535
-85	-40	1.83528476464111	1.802762825	-0.5770577690	0.1227258448
-85	-35	1.77089839909860	1.846924037	-0.4131471179	0.1265894502
-85	-30	1.70867739598137	1.875528809	-0.2518969550	0.1290920435
-85	-25	1.64907392419642	1.889892277	-0.09474817850	0.1303486841
-85	-20	1.59245645599247	1.891388007	0.05717915785	0.1304795435
-85	-15	1.53911529663329	1.881390928	0.2030624971	0.1296049125
-85	-10	1.48926979803990	1.861230776	0.3423455891	0.1278411277
-85	-5	1.44306999992944	1.832149581	0.4747031472	0.1252968528
-85	0	1.40060836670595	1.795278629	0.6000000000	0.1220710625
-85	5	1.36193291232604	1.751626497	0.7182519958	0.1182519958
-85	10	1.32704878297756	1.702063955	0.8295890059	0.1139158353
-85	15	1.29593551858276	1.647331584	0.9342214906	0.1091273732
-85	20	1.26855073522068	1.588039613	1.032411056	0.1039399980
-85	25	1.24484171342729	1.524679754	1.124446782	0.09839672853
-85	30	1.22475003108330	1.457633207	1.210624817	0.09253091581
-85	35	1.20821877721385	1.387182998	1.291232977	0.08636732114
-85	40	1.19519672823214	1.313524468	1.366538044	0.07992303483
-85	45	1.18563868188247	1.236773459	1.436773459	0.07320819164
-
-90	-45	1.90202646292051	1.744935810	-0.7449358099	0.000000000
-90	-40	1.83594305597795	1.806413976	-0.5801214485	0.000000000
-90	-35	1.77144460153905	1.851082467	-0.4160588817	0.000000000
-90	-30	1.70907215107283	1.880099900	-0.2545360755	0.000000000
-90	-25	1.64928786029033	1.894762431	-0.09701916863	0.000000000
-90	-20	1.59247164971764	1.896433858	0.05534261812	0.000000000
-90	-15	1.53892607802570	1.886488444	0.2016966220	0.000000000
-90	-10	1.48888217287958	1.866262707	0.3414583239	0.000000000
-90	-5	1.44250026482729	1.837011116	0.4742778180	0.000000000
-90	0	1.39988133281479	1.799881333	0.6000000000	0.000000000
-90	5	1.36107965980131	1.755900341	0.7186259087	0.000000000
-90	10	1.32610429360772	1.705957790	0.8302755940	0.000000000
-90	15	1.29493643013571	1.650812541	0.9351542103	0.000000000
-90	20	1.26753301020203	1.591091416	1.033521822	0.000000000
-90	25	1.24383927489234	1.527301221	1.125669192	0.000000000
-90	30	1.22379326535946	1.459836057	1.211896633	0.000000000
-90	35	1.20733323531290	1.388989488	1.292497895	0.000000000
-90	40	1.19440250340951	1.314965401	1.367747130	0.000000000
-90	45	1.18494977921891	1.237886024	1.437886024	0.000000000
-
-
-### +y patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = 90 - dsigma = 90 - dphi
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
-45	45	1.25434275412537	1.124195127	1.324195127	0.7241951268
-40	45	1.25824188432611	1.042047623	1.365162561	0.7651625610
-35	45	1.26432675911388	0.9609977215	1.401187778	0.8011877777
-30	45	1.27230890987745	0.8808875666	1.432921698	0.8329216981
-25	45	1.28197992289691	0.8014463888	1.460904559	0.8609045591
-20	45	1.29320180376051	0.7223222335	1.485573058	0.8855730583
-15	45	1.30589980157489	0.6431021124	1.507269435	0.9072694348
-10	45	1.32005359650078	0.5633223510	1.526247080	0.9262470802
-5	45	1.33569275918779	0.4824733985	1.542675258	0.9426752584
-0	45	1.35289504676809	0.4000000000	1.556641262	0.9566412618
--5	45	1.37178469619598	0.3152980765	1.568147416	0.9681474157
--10	45	1.39253445782877	0.2277100247	1.577105005	0.9771050048
--15	45	1.41536716171726	0.1365197955	1.583321510	0.9833215101
--20	45	1.44055885537505	0.04094996901	1.586481853	0.9864818526
--25	45	1.46844321770875	-0.05983655159	1.586122667	0.9861226672
--30	45	1.49941228845205	-0.1667245754	1.581595759	0.9815957585
--35	45	1.53391728560421	-0.2806184366	1.572023864	0.9720238636
--40	45	1.57245766301364	-0.4023836410	1.556243587	0.9562435868
--45	45	1.61556288421953	-0.5327456661	1.532745666	0.9327456661
-
-45	50	1.23728918192525	1.152420795	1.352420795	0.6313560118
-40	50	1.23926376101338	1.070089995	1.398582159	0.6700899954
-35	50	1.24378491181909	0.9879173379	1.439632974	0.7045357190
-30	50	1.25058404977078	0.9058384208	1.476137845	0.7351669428
-25	50	1.25945877395698	0.8236749666	1.508573898	0.7623840226
-20	50	1.27026742819204	0.7411600517	1.537329538	0.7865128700
-15	50	1.28292688358999	0.6579567779	1.562707801	0.8078077610
-10	50	1.29740674654154	0.5736691713	1.584926814	0.8264517264
-5	50	1.31372669265758	0.4878491563	1.604120451	0.8425571005
-0	50	1.33195484748396	0.4000000000	1.620336609	0.8561640726
--5	50	1.35220543987298	0.3095777625	1.633530904	0.8672354007
--10	50	1.37464027748729	0.2159924492	1.643558678	0.8756497016
--15	50	1.39946764629017	0.1186104918	1.650159941	0.8811888194
--20	50	1.42694310783366	0.01676102715	1.652940424	0.8835219216
--25	50	1.45736969649714	-0.09025110647	1.651346891	0.8821847882
--30	50	1.49109206234264	-0.2031195218	1.644633655	0.8765517144
--35	50	1.52849223662311	-0.3224939603	1.631828309	0.8658067538
--40	50	1.56996854347402	-0.4489074298	1.611688479	0.8489074298
--45	50	1.61591034553271	-0.5826680496	1.582668050	0.8245563980
-
-45	55	1.22340942255646	1.175258982	1.375258982	0.5428421834
-40	55	1.22358793360621	1.093095242	1.425998745	0.5783705476
-35	55	1.22659102270958	1.010281547	1.471572375	0.6102815468
-30	55	1.23218676501281	0.9268030384	1.512449628	0.6389041078
-25	55	1.24019558302563	0.8425401598	1.549030435	0.6645182647
-20	55	1.25048702027487	0.7572870291	1.581638045	0.6873503588
-15	55	1.26298215413358	0.6707677939	1.610519164	0.7075731361
-10	55	1.27765043496561	0.5826466495	1.635840623	0.7253034123
-5	55	1.29450690747295	0.4925354711	1.657685275	0.7405992027
-0	55	1.31361248578144	0.4000000000	1.676048353	0.7534571683
--5	55	1.33507079350193	0.3045648933	1.690828262	0.7638061716
--10	55	1.35902927209520	0.2057198305	1.701817593	0.7715009846
--15	55	1.38567468639812	0.1029284407	1.708686153	0.7763104017
--20	55	1.41523306367653	-0.004357989048	1.710964444	0.7779056786
--25	55	1.44796528370464	-0.1166788180	1.708021301	0.7758448674
--30	55	1.48415710214254	-0.2345291907	1.699036797	0.7695538502
--35	55	1.52411034383676	-0.3583101465	1.682979124	0.7583101465
--40	55	1.56811753767890	-0.4882523066	1.658577878	0.7412242096
--45	55	1.61643242447172	-0.6243126570	1.624312657	0.7172314439
-
-45	60	1.21221834835638	1.193583191	1.393583191	0.4581754692
-40	60	1.21078741868050	1.111772140	1.448257005	0.4897414099
-35	60	1.21238682508968	1.028637594	1.497787526	0.5183378699
-30	60	1.21683059031455	0.9441831834	1.542552922	0.5441831834
-25	60	1.22397100602445	0.8583203272	1.582871114	0.5674609020
-20	60	1.23370037269988	0.7708831219	1.618993003	0.5883158844
-15	60	1.24595357696858	0.6816411083	1.651098926	0.6068522477
-10	60	1.26070734131916	0.5903085465	1.679293400	0.6231303350
-5	60	1.27797791148385	0.4965523278	1.703598157	0.6371626932
-0	60	1.29782167198969	0.4000000000	1.723946538	0.6489108360
--5	60	1.32033180933116	0.3002477988	1.740172877	0.6582791173
--10	60	1.34563880168124	0.1968707280	1.752003347	0.6651094428
--15	60	1.37390450350619	0.08943627257	1.759039610	0.6691718307
--20	60	1.40531930566259	-0.02247633454	1.760744189	0.6701559702
--25	60	1.44009483945257	-0.1392486708	1.756422506	0.6676608454
--30	60	1.47845270920595	-0.2611841519	1.745204544	0.6611841519
--35	60	1.52060895898754	-0.3884545897	1.726029851	0.6501136374
--40	60	1.56675395458689	-0.5210302299	1.697641085	0.6337233761
--45	60	1.61702138719995	-0.6585889867	1.658588987	0.6111766365
-
-45	65	1.20332606383145	1.208085116	1.408085116	0.3768162779
-40	65	1.20050741404436	1.126699191	1.466046371	0.4038440551
-35	65	1.20086634019640	1.043444976	1.518934659	0.4285062689
-30	65	1.20426342131845	0.9583240158	1.567045562	0.4509407516
-25	65	1.21058769549857	0.8712595400	1.610619345	0.4712595400
-20	65	1.21976021587721	0.7821085652	1.649834655	0.4895459392
-15	65	1.23173579357982	0.6906719979	1.684802665	0.5058517901
-10	65	1.24650437289891	0.5967036345	1.715561746	0.5201949853
-5	65	1.26408663962992	0.4999179161	1.742067007	0.5325545917
-0	65	1.28453794782565	0.4000000000	1.764186745	0.5428691947
--5	65	1.30794211197318	0.2966155909	1.781689203	0.5510307249
--10	65	1.33441196436714	0.1894241777	1.794234832	0.5568808480
--15	65	1.36408224709215	0.07809613540	1.801361578	0.5602041040
--20	65	1.39710500173982	-0.03766453494	1.802473427	0.5607225678
--25	65	1.43364014175706	-0.1580897578	1.796827348	0.5580897578
--30	65	1.47384424610672	-0.2833078408	1.783523897	0.5518862570
--35	65	1.51785172498837	-0.4132912326	1.761500253	0.5416164628
--40	65	1.56576073585374	-0.5477967783	1.729540216	0.5267132527
--45	65	1.61760176455721	-0.6862890354	1.686289035	0.5065448962
-
-45	70	1.19642618940599	1.219301981	1.419301981	0.2982015339
-40	70	1.19246116716173	1.138337482	1.479916347	0.3202633590
-35	70	1.19177508261466	1.055078395	1.535548905	0.3405119539
-30	70	1.19427120050913	0.9695132571	1.586425897	0.3590296648
-25	70	1.19987500112791	0.8815650869	1.632719662	0.3758792172
-20	70	1.20853770790247	0.7911016278	1.674542891	0.3911016278
-15	70	1.22023681775356	0.6979438633	1.711941636	0.4047136576
-10	70	1.23497689986240	0.6018748331	1.744889071	0.4167055434
-5	70	1.25278693535509	0.5026483750	1.773276295	0.4270376479
-0	70	1.27372343500545	0.4000000000	1.796908513	0.4356390718
--5	70	1.29786206383072	0.2936583484	1.815490640	0.4424024128
--10	70	1.32529892047295	0.1833607264	1.828622374	0.4471819731
--15	70	1.35614190114202	0.06887234402	1.835785236	0.4497890418
--20	70	1.39050544179396	-0.04998922103	1.836335224	0.4499892210
--25	70	1.42849980118718	-0.1733227464	1.829494597	0.4474994366
--30	70	1.47022103307832	-0.3011057194	1.814350728	0.4419875188
--35	70	1.51573129873404	-0.4331461543	1.789856020	0.4330721742
--40	70	1.56504944332941	-0.5690333720	1.754849002	0.4203306620
--45	70	1.61812386202691	-0.7080767851	1.708076785	0.4033069670
-
-45	75	1.19128362778707	1.227640239	1.427640239	0.2217655336
-40	75	1.18642341800181	1.147043387	1.490291641	0.2385529262
-35	75	1.18490895985075	1.063833409	1.548052360	0.2540298641
-30	75	1.18667919419438	0.9779821573	1.601094462	0.2682424527
-25	75	1.19169160995368	0.8894063624	1.649535331	0.2812221444
-20	75	1.19992491373398	0.7979768465	1.693432399	0.2929843283
-15	75	1.21137765204246	0.7035261849	1.732775144	0.3035261849
-10	75	1.22607020994535	0.6058583137	1.767480512	0.3128254604
-5	75	1.24404028964480	0.5047574104	1.797382680	0.3208377222
-0	75	1.26534659476784	0.4000000000	1.822230955	0.3274957974
--5	75	1.29005860086133	0.2913675068	1.841675079	0.3327058348
--10	75	1.31825769699103	0.1786633226	1.855262675	0.3363466199
--15	75	1.35002773391900	0.06173326135	1.862428655	0.3382667387
--20	75	1.38544966166965	-0.05950949181	1.862491953	0.3382836992
--25	75	1.42459031895533	-0.1850536834	1.854651673	0.3361829025
--30	75	1.46749409161277	-0.3147554326	1.837992724	0.3317191507
--35	75	1.51416429046774	-0.4482954189	1.811491412	0.3246181454
--40	75	1.56455574827973	-0.5851381962	1.774041985	0.3145836016
--45	75	1.61855468524302	-0.7244853493	1.724485349	0.3013049412
-
-45	80	1.18772707660520	1.233397022	1.433397022	0.1469503807
-40	80	1.18222654815088	1.153081618	1.497487724	0.1582513005
-35	80	1.18011301917453	1.069932852	1.556763267	0.1687031782
-30	80	1.18135204169580	0.9839073585	1.611357212	0.1783295636
-25	80	1.18592586166078	0.8949141773	1.661346878	0.1871440905
-20	80	1.19383520074711	0.8028235234	1.706748534	0.1951496275
-15	80	1.20509516399068	0.7074737861	1.747507792	0.2023365842
-10	80	1.21973992401086	0.6086827052	1.783498432	0.2086827052
-5	80	1.23781509903015	0.5062558835	1.814510306	0.2141509353
-0	80	1.25938165798553	0.4000000000	1.840248821	0.2186893299
--5	80	1.28450463034569	0.2897362179	1.860320797	0.2222285608
--10	80	1.31325390343011	0.1753181872	1.874233880	0.2246818128
--15	80	1.34569431461713	0.05665306925	1.881388190	0.2259433107
--20	80	1.38188047912249	-0.06627370604	1.881076479	0.2258883475
--25	80	1.42184559158831	-0.1933689145	1.872483743	0.2243732165
--30	80	1.46559476889632	-0.3244001279	1.854697827	0.2212370795
--35	80	1.51308779574323	-0.4589577488	1.826718797	0.2163036216
--40	80	1.56423302372527	-0.5964208112	1.787488082	0.2093861880
--45	80	1.61887367919000	-0.7359213161	1.735921316	0.2002935760
-
-45	85	1.18563868210876	1.236773460	1.436773460	0.07320819165
-40	85	1.17975408048167	1.156633920	1.501721193	0.07889038201
-35	85	1.17727868880346	1.073531870	1.561903198	0.08415562521
-30	85	1.17819439122300	0.9874135262	1.617430072	0.08901359727
-25	85	1.18249897237471	0.8981820373	1.668354827	0.09346893595
-20	85	1.19020713339501	0.8057060625	1.714668246	0.09752083509
-15	85	1.20134490817973	0.7098265926	1.756288585	0.1011621430
-10	85	1.21595544758500	0.6103690580	1.793062214	0.1043794186
-5	85	1.23408993878234	0.5071518259	1.824750974	0.1071518259
-0	85	1.25581108506905	0.4000000000	1.851032345	0.1094511479
--5	85	1.28118123434150	0.2887593973	1.871485907	0.1112406027
--10	85	1.31026294618798	0.1733150649	1.885594151	0.1124749141
--15	85	1.34310887835399	0.05361251012	1.892735711	0.1130997197
--20	85	1.37975684768414	-0.07031789862	1.892187806	0.1130517842
--25	85	1.42021880969478	-0.1983324438	1.883128067	0.1122591597
--30	85	1.46447539166270	-0.3301449237	1.864648105	0.1106423725
--35	85	1.51245967264548	-0.4652919665	1.835764997	0.1081154280
--40	85	1.56405192355359	-0.6031028989	1.795451483	0.1045884526
--45	85	1.61907015898429	-0.7426709997	1.742671000	0.09997075861
-
-45	90	1.18494977933038	1.237886024	1.437886024	0.000000000
-40	90	1.17893712882836	1.157806179	1.503118236	0.000000000
-35	90	1.17634061814583	1.074721260	1.563601822	0.000000000
-30	90	1.17714768656753	0.9885738433	1.619439801	0.000000000
-25	90	1.18136140050738	0.8992649016	1.670677037	0.000000000
-20	90	1.18900126174221	0.8066623820	1.717295712	0.000000000
-15	90	1.20009718123264	0.7106080065	1.759204861	0.000000000
-10	90	1.21469537964475	0.6109296391	1.796241427	0.000000000
-5	90	1.23284901293042	0.5074498714	1.828157650	0.000000000
-0	90	1.25462142900773	0.4000000000	1.854621429	0.000000000
--5	90	1.28007407735639	0.2884341930	1.875203009	0.000000000
--10	90	1.30926699907203	0.1726481715	1.889376291	0.000000000
--15	90	1.34224865572935	0.05260048463	1.896512642	0.000000000
--20	90	1.37905109532199	-0.07166325328	1.895884138	0.000000000
--25	90	1.41967901744855	-0.1999822786	1.886666149	0.000000000
--30	90	1.46410473465290	-0.3320523673	1.867951894	0.000000000
--35	90	1.51225232836916	-0.4673923014	1.838764586	0.000000000
--40	90	1.56399268584824	-0.6053151201	1.798087906	0.000000000
--45	90	1.61913549828314	-0.7449016905	1.744901690	0.000000000
-
-
-### -x patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = drho = dnu
-# dpy = 180 - dsigma = 180 - dphi
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--90	45	1.61913549119901	-0.7449016855	1.744901685	1.402100184e-16
--90	40	1.67741401095331	-0.8849736819	1.678220943	1.573638907e-16
--90	35	1.73848511753198	-1.024083638	1.597154098	1.743999469e-16
--90	30	1.80192961069252	-1.160516819	1.500964805	1.911081927e-16
--90	25	1.86724631361655	-1.292299874	1.389132391	2.072469624e-16
--90	20	1.93386553897421	-1.417239177	1.261420969	2.225476141e-16
--90	15	2.00114618298753	-1.532958780	1.117934744	2.367191783e-16
--90	10	2.06840074986710	-1.636977095	0.9591740209	2.494577479e-16
--90	5	2.13489656006857	-1.726772634	0.7860684954	2.604545299e-16
--90	-2.84217e-14	2.19987551214144	-1.799875512	0.6000000000	2.694070504e-16
--90	-5	2.26257746668096	-1.853967676	0.4028033804	2.760314300e-16
--90	-10	2.32224996565598	-1.886969771	0.1967455254	2.800730209e-16
--90	-15	2.37815529935303	-1.897121623	-0.01551188368	2.813162642e-16
--90	-20	2.42958935963946	-1.883067193	-0.2309685010	2.795950930e-16
--90	-25	2.47589785600814	-1.843925507	-0.4463596482	2.748016189e-16
--90	-30	2.51648724207022	-1.779341880	-0.6582436210	2.668924058e-16
--90	-35	2.55083511105004	-1.689521796	-0.8630989127	2.558926179e-16
--90	-40	2.57848932237750	-1.575237417	-1.057420988	2.418968180e-16
--90	-45	2.59908753924548	-1.437832424	-1.237832424	2.250695595e-16
-
--85	45	1.61907014823530	-0.7426709921	1.742670992	0.09997075795
--85	40	1.67718756434963	-0.8819244244	1.675662312	0.1121538546
--85	35	1.73804066919883	-1.020077415	1.594348911	0.1242406752
--85	30	1.80121003575067	-1.155435394	1.498031043	0.1360829638
--85	25	1.86620085545086	-1.286060401	1.386222877	0.1475111711
--85	20	1.93245084338336	-1.409803967	1.258714774	0.1583373303
--85	15	1.99933392595347	-1.524349103	1.115627788	0.1683587312
--85	10	2.06618085688484	-1.627280122	0.9574641829	0.1773640285
--85	5	2.13227881827031	-1.716142818	0.7851385070	0.1851385070
--85	-2.84217e-14	2.19689239167268	-1.788532553	0.6000000000	0.1914717881
--85	-5	2.25928099699198	-1.842183909	0.4038343264	0.1961656736
--85	-10	2.31871105966780	-1.875055847	0.1988462715	0.1990415955
--85	-15	2.37446165783637	-1.885407706	-0.01237314914	0.1999472658
--85	-20	2.42584005586127	-1.871879241	-0.2268964197	0.1987636785
--85	-25	2.47219664566093	-1.833560688	-0.4415264539	0.1954112395
--85	-30	2.51293588892827	-1.770046439	-0.6528768959	0.1898544628
--85	-35	2.54752641681873	-1.681473002	-0.8574630866	0.1821052911
--85	-40	2.57550339673058	-1.568533979	-1.051796136	0.1722244069
--85	-45	2.59648405265540	-1.432488241	-1.232488241	0.1603219472
-
--80	45	1.61887365474087	-0.7359212989	1.735921299	0.2002935730
--80	40	1.67650732033112	-0.8727211555	1.667939852	0.2244150786
--80	35	1.73670811505824	-1.008016439	1.585903724	0.2482712874
--80	30	1.79905774983385	-1.140175973	1.489221012	0.2715745790
--80	25	1.86307804964223	-1.267365672	1.377505382	0.2940015548
--80	20	1.92823210214236	-1.387573404	1.250623510	0.3151974210
--80	15	1.99393758562306	-1.498654134	1.108742842	0.3347839509
--80	10	2.05957674140599	-1.598381619	0.9523685973	0.3523685973
--80	5	2.12449575328179	-1.684497103	0.7823698656	0.3675530804
--80	-2.84217e-14	2.18802474612499	-1.754783734	0.6000000000	0.3799465099
--80	-5	2.24948097387421	-1.807129181	0.4069012177	0.3891764246
--80	-10	2.30818532979887	-1.839603431	0.2050974889	0.3949025111
--80	-15	2.36346495813593	-1.850523059	-0.003025836170	0.3968279360
--80	-20	2.41466122531906	-1.838518994	-0.2147542826	0.3947112954
--80	-25	2.46114040085166	-1.802602849	-0.4270905762	0.3883783100
--80	-30	2.50230371020900	-1.742225868	-0.6368146818	0.3777322194
--80	-35	2.53759713573466	-1.657328143	-0.8405566744	0.3627624598
--80	-40	2.56651920564421	-1.548374009	-1.034879912	0.3435509063
--80	-45	2.58862978956513	-1.416373813	-1.216373813	0.3202757103
-
--75	45	1.61855463654742	-0.7244853155	1.724485315	0.3013049322
--75	40	1.67538015987107	-0.8572045770	1.654919897	0.3368669511
--75	35	1.73449811349508	-0.9877817495	1.571735242	0.3718549990
--75	30	1.79549521694172	-1.114697761	1.474511160	0.4058620419
--75	25	1.85792205772159	-1.236291492	1.363015254	0.4384429838
--75	20	1.92128804880550	-1.350775050	1.237230005	0.4691187608
--75	15	1.98507905669550	-1.456273483	1.097386981	0.4973869807
--75	10	2.04875453446811	-1.550851569	0.9439877670	0.5227291025
--75	5	2.11175816257759	-1.632556879	0.7778256849	0.5446219744
--75	-2.84217e-14	2.17351410360246	-1.699453406	0.6000000000	0.5625468448
--75	-5	2.23343872333148	-1.749673823	0.4119279102	0.5760033648
--75	-10	2.29093647349802	-1.781460462	0.2153496632	0.5845205692
--75	-15	2.34540915246691	-1.793222886	0.01232769899	0.5876723010
--75	-20	2.39625418072767	-1.783588263	-0.1947611316	0.5850907116
--75	-25	2.44286882716253	-1.751460262	-0.4032423964	0.5764820397
--75	-30	2.48465723542243	-1.696081747	-0.6101733611	0.5616434115
--75	-35	2.52104081154475	-1.617099010	-0.8123879323	0.5404800508
--75	-40	2.55146151214977	-1.514615660	-1.006553294	0.5130197200
--75	-45	2.57539683020512	-1.389248167	-1.189248167	0.4794276015
-
--70	45	1.61812377511863	-0.7080767255	1.708076726	0.4033069454
--70	40	1.67381512527150	-0.8351071310	1.636377938	0.4495422318
--70	35	1.73142853198436	-0.9591793368	1.551707617	0.4947008216
--70	30	1.79056398926395	-1.078942713	1.453867973	0.5382911256
--70	25	1.85081372282493	-1.192975701	1.342816769	0.5797957392
--70	20	1.91175342289243	-1.299790612	1.218673187	0.6186731873
--70	15	1.97295660295268	-1.397858055	1.081734614	0.6543668176
--70	10	2.03398582475792	-1.485612712	0.9324843963	0.6863069005
--70	5	2.09440246093616	-1.561477000	0.7716070012	0.7139192430
--70	-2.84217e-14	2.15375380938002	-1.623866562	0.6000000000	0.7366271866
--70	-5	2.21157451990107	-1.671212498	0.4187923866	0.7538596982
--70	-10	2.26738491348165	-1.701986043	0.2293631475	0.7650603526
--70	-15	2.32068294744590	-1.714723925	0.03336143215	0.7696965623
--70	-20	2.37094317464343	-1.708068385	-0.1672741438	0.7672741438
--70	-25	2.41761272251519	-1.680813577	-0.3702993060	0.7573542050
--70	-30	2.46011743994079	-1.631970252	-0.5731585720	0.7395766886
--70	-35	2.49785722268987	-1.560829373	-0.7729875083	0.7136835264
--70	-40	2.53021685816672	-1.467045432	-0.9666371338	0.6795489634
--70	-45	2.55658010272121	-1.350723247	-1.150723247	0.6372111502
-
--65	45	1.61760160107869	-0.6862889256	1.686288926	0.5065448450
--65	40	1.67183009527015	-0.8060586799	1.612003393	0.5623943986
--65	35	1.72752787079311	-0.9219499807	1.525639342	0.6164353997
--65	30	1.78432367870673	-1.032844563	1.427253194	0.6681463926
--65	25	1.84186512757236	-1.137620559	1.317004242	0.7170042419
--65	20	1.89981323161018	-1.235149058	1.195145586	0.7624825279
--65	15	1.95784112208289	-1.324291262	1.062022451	0.8040502205
--65	10	2.01563355962411	-1.403895551	0.9180754561	0.8411703101
--65	5	2.07287919415645	-1.472788513	0.7638477641	0.8732956257
--65	-2.84217e-14	2.12926064452174	-1.529765503	0.6000000000	0.8998644324
--65	-5	2.18445023591756	-1.573589836	0.4273332629	0.9203000546
--65	-10	2.23809542285892	-1.602988270	0.2468191259	0.9340087696
--65	-15	2.28981221421658	-1.616661694	0.05963712780	0.9403847916
--65	-20	2.33917449071776	-1.613302624	-0.1327822278	0.9388184319
--65	-25	2.38570412190258	-1.591626667	-0.3287107669	0.9287107669
--65	-30	2.42886656686294	-1.550424296	-0.5260779921	0.9094977857
--65	-35	2.46806651520357	-1.488629722	-0.7224327682	0.8806825027
--65	-40	2.50264803799863	-1.405410967	-0.9149196766	0.8418769600
--65	-45	2.53190439276090	-1.300282505	-1.100282505	0.7928547532
-
--60	45	1.61702115054803	-0.6585888318	1.658588832	0.6111765470
--60	40	1.66945458446933	-0.7695913942	1.581403708	0.6752639063
--60	35	1.72284138650876	-0.8757854790	1.493314610	0.7365750898
--60	30	1.77685926360945	-0.9763492673	1.394635620	0.7946356200
--60	25	1.83122622431255	-1.070508165	1.285709219	0.8489982850
--60	20	1.88569853988738	-1.157520497	1.166891100	0.8992348781
--60	15	1.94006443820212	-1.236657805	1.038541137	0.9449248244
--60	10	1.99413027284111	-1.307177845	0.9010215149	0.9856395884
--60	5	2.04772083919749	-1.368309862	0.7547070666	1.020934175
--60	-2.84217e-14	2.10065263839899	-1.419218549	0.6000000000	1.050326319
--60	-5	2.15273379206242	-1.458993825	0.4373591147	1.073290585
--60	-10	2.20374914083546	-1.486632865	0.2673357233	1.089247992
--60	-15	2.25344411552074	-1.501028042	0.09062107135	1.097559052
--60	-20	2.30151056400843	-1.500966566	-0.09189524620	1.097523558
--60	-25	2.34756969679147	-1.485141421	-0.2790558815	1.088386907
--60	-30	2.39116031735095	-1.452184817	-0.4693594029	1.069359403
--60	-35	2.43172663546595	-1.400723825	-0.6608803962	1.039648385
--60	-40	2.46860802310651	-1.329464657	-0.8511931554	0.9985068850
--60	-45	2.50103838966103	-1.237313962	-1.037313962	0.9453036569
-
--55	45	1.61643209694206	-0.6243124495	1.624312449	0.7172312986
--55	40	1.66673631283403	-0.7251517479	1.544114417	0.7878397355
--55	35	1.71743835033570	-0.8203511958	1.454499107	0.8544991065
--55	30	1.76828372403422	-0.9094360953	1.356003282	0.9168770247
--55	25	1.81908036976169	-0.9920083724	1.249104164	0.9746947556
--55	20	1.86968716460576	-1.067712997	1.134203843	1.027703705
--55	15	1.92000637250394	-1.136207957	1.011625681	1.075664391
--55	10	1.96996733950669	-1.197128713	0.8816168839	1.118321565
--55	5	2.01951645997507	-1.250059038	0.7443614600	1.155383777
--55	-2.84217e-14	2.06860083521490	-1.294498603	0.6000000000	1.186500695
--55	-5	2.11715815610710	-1.329837820	0.4486588010	1.211245481
--55	-10	2.16510468201500	-1.355334104	0.2904872373	1.229098172
--55	-15	2.21231608059096	-1.370086607	0.1257067231	1.239427986
--55	-20	2.25861218203848	-1.373020919	-0.04532683938	1.241482613
--55	-25	2.30373865186559	-1.362881698	-0.2220452363	1.234383054
--55	-30	2.34734486226785	-1.338238072	-0.4035722186	1.217127401
--55	-35	2.38896140650099	-1.297511825	-0.5886105763	1.188610576
--55	-40	2.42797630469412	-1.239036578	-0.7753149883	1.147665768
--55	-45	2.46361764312410	-1.161163149	-0.9611631490	1.093138205
-
--50	45	1.61590982759268	-0.5826677346	1.582667735	0.8245561337
--50	40	1.66374681705432	-0.6721192435	1.499614862	0.8996148618
--50	35	1.71141478106059	-0.7553125215	1.408958537	0.9694223107
--50	30	1.75874518705393	-0.8321468667	1.311380325	1.033893981
--50	25	1.80564749612112	-0.9025945888	1.207409832	1.093006639
--50	20	1.85208941095771	-0.9666556145	1.097421964	1.146760222
--50	15	1.89808142899304	-1.024319517	0.9816452643	1.195145981
--50	10	1.94366153279862	-1.075531375	0.8601759923	1.238117833
--50	5	1.98888490146956	-1.120163986	0.7329971154	1.275569040
--50	-2.84217e-14	2.03381191654091	-1.157990317	0.6000000000	1.307309100
--50	-5	2.07849257194196	-1.188653798	0.4610108024	1.333038816
--50	-10	2.12296068305773	-1.211646392	0.3158232578	1.352331893
--50	-15	2.16721684159072	-1.226278619	0.1642399574	1.364609789
--50	-20	2.21121384494170	-1.231653309	0.006126762848	1.369119690
--50	-25	2.25483617413452	-1.226639422	-0.1585144195	1.364912539
--50	-30	2.29787391305603	-1.209851252	-0.3294480539	1.350825592
--50	-35	2.33999212327479	-1.179641727	-0.5060770449	1.325476790
--50	-40	2.38069419279869	-1.134120475	-0.6872799246	1.287279925
--50	-45	2.41928525731633	-1.071216724	-0.8712167242	1.234497411
-
--45	45	1.61556257997503	-0.5327454904	1.532745490	0.9327454904
--45	40	1.66059510487649	-0.6098417634	1.447357851	1.009841763
--45	35	1.70490260710653	-0.6803750859	1.356486779	1.080375086
--45	30	1.74842636350260	-0.7446137368	1.260843049	1.144613737
--45	25	1.79118345606355	-0.8028565938	1.160901241	1.202856594
--45	20	1.83324597557952	-0.8553904893	1.056924770	1.255390489
--45	15	1.87472172057293	-0.9024565237	0.9489921737	1.302456524
--45	10	1.91574128674931	-0.9442255512	0.8370232328	1.344225551
--45	5	1.95644724021513	-0.9807774243	0.7208023715	1.380777424
--45	-2.84217e-14	1.99698721033367	-1.012083198	0.6000000000	1.412083198
--45	-5	2.03750333832529	-1.037983378	0.4741927561	1.437983378
--45	-10	2.07812774078528	-1.058167878	0.3428856606	1.458167878
--45	-15	2.11897070155700	-1.072147671	0.2055392205	1.472147671
--45	-20	2.16011007096079	-1.079224106	0.06160645569	1.479224106
--45	-25	2.20157239453946	-1.078450386	-0.08941273708	1.478450386
--45	-30	2.24330790315049	-1.068589753	-0.2478906894	1.468589753
--45	-35	2.28515909981467	-1.048076241	-0.4139538999	1.448076241
--45	-40	2.32681254266055	-1.014982180	-0.5873110252	1.414982180
--45	-45	2.36774015913823	-0.9670154182	-0.7670154182	1.367015418
-
-
-### -y patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = 90 + dsigma = 90 + dphi
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--45	-90	2.59908754914798	-1.437832431	-1.237832431	2.250695604e-16
--40	-90	2.61235638195852	-1.279190314	-1.401181090	2.450740016e-16
--35	-90	2.61811966719981	-1.101691749	-1.544638078	2.626424157e-16
--30	-90	2.61630481017806	-0.9081524051	-1.665786430	2.774788099e-16
--25	-90	2.60693890287048	-0.7017399876	-1.762689028	2.893459556e-16
--20	-90	2.59014517314278	-0.4858818234	-1.833940306	2.980717205e-16
--15	-90	2.56615068552908	-0.2641686700	-1.878711221	3.035545763e-16
--10	-90	2.53527034796384	-0.04024507582	-1.896753895	3.057641665e-16
--5	-90	2.49790308151261	0.1822934016	-1.888397806	3.047408408e-16
--2.84217e-14	-90	2.45453230855291	0.4000000000	-1.854532309	3.005935135e-16
-5	-90	2.40571684088214	0.6096720381	-1.796562362	2.934942426e-16
-10	-90	2.35208173289189	0.8084347066	-1.716348326	2.836708563e-16
-15	-90	2.29430285656461	0.9938092745	-1.616126382	2.713972081e-16
-20	-90	2.23309585687801	1.163763765	-1.498423698	2.569827865e-16
-25	-90	2.16920926154261	1.316747447	-1.365971245	2.407620393e-16
-30	-90	2.10340885939387	1.451704430	-1.221605507	2.230823353e-16
-35	-90	2.03645139600272	1.568060535	-1.068163324	2.042910875e-16
-40	-90	1.96908400372913	1.665702800	-0.9084058591	1.847264407e-16
-45	-90	1.90202645827228	1.744935807	-0.7449358066	1.647071331e-16
-
--45	-85	2.59648406805181	-1.432488252	-1.232488252	0.1603219481
--40	-85	2.60925872811510	-1.273445079	-1.394334184	0.1744816324
--35	-85	2.61455834802917	-1.095812666	-1.536241877	0.1868969468
--30	-85	2.61233586479361	-0.9024348387	-1.655883314	0.1973642162
--25	-85	2.60263903896480	-0.6964813069	-1.751411751	0.2057218715
--20	-85	2.58560789485550	-0.4813565041	-1.821507093	0.2118544193
--15	-85	2.56148250015613	-0.2606057840	-1.865414350	0.2156958065
--10	-85	2.53058524580311	-0.03780949003	-1.882941001	0.2172291898
--5	-85	2.49331628252405	0.1835138398	-1.874448134	0.2164861602
--2.84217e-14	-85	2.45015235935097	0.4000000000	-1.840828790	0.2135448487
-5	-85	2.40163922200546	0.6085261533	-1.783464839	0.2085261533
-10	-85	2.34838344585632	0.8062872652	-1.704169581	0.2015887171
-15	-85	2.29103919560254	0.9908585141	-1.605113995	0.1929224763
-20	-85	2.23029936608562	1.160242439	-1.488748935	0.1827418527
-25	-85	2.16688919422385	1.312901659	-1.357723925	0.1712786497
-30	-85	2.10155168424512	1.447772672	-1.214795503	0.1587740331
-35	-85	2.03502389999079	1.564255725	-1.062729493	0.1454699811
-40	-85	1.96803798169097	1.662198892	-0.9042300638	0.1316030779
-45	-85	1.90130309782522	1.741859029	-0.7418590291	0.1173974531
-
--45	-80	2.58862982039425	-1.416373835	-1.216373835	0.3202757141
--40	-80	2.59993820166218	-1.256167906	-1.373744052	0.3480243295
--35	-80	2.60387044881259	-1.078179062	-1.511058481	0.3722365681
--30	-80	2.60045127611108	-0.8853261195	-1.626250143	0.3925479661
--25	-80	2.58978802420093	-0.6807781926	-1.717736314	0.4086794462
--20	-80	2.57207400411139	-0.4678684562	-1.784448987	0.4204426904
--15	-80	2.54758124909409	-0.2500021537	-1.825841063	0.4277412302
--10	-80	2.51665084186133	-0.03056843143	-1.841874917	0.4305684314
--5	-80	2.47968388637972	0.1871402584	-1.832997980	0.4290031879
--2.84217e-14	-80	2.43713717233869	0.4000000000	-1.800111582	0.4232044287
-5	-80	2.38951833654036	0.6051197972	-1.744530010	0.4134038978
-10	-80	2.33738148016234	0.7998976182	-1.667932092	0.3998976182
-15	-80	2.28132020790015	0.9820670288	-1.572303725	0.3830357570
-20	-80	2.22195915285194	1.149732806	-1.459873955	0.3632113550
-25	-80	2.15995669062671	1.301399677	-1.333057845	0.3408502534
-30	-80	2.09598991157481	1.435985794	-1.194380031	0.3163976131
-35	-80	2.03073839699621	1.552820403	-1.046398160	0.2903044166
-40	-80	1.96488951033590	1.651640114	-0.8916466023	0.2630175417
-45	-80	1.89911953086113	1.732562500	-0.7325624998	0.2349667222
-
--45	-75	2.57539687639479	-1.389248199	-1.189248199	0.4794276101
--40	-75	2.58431635079971	-1.227240673	-1.339269918	0.5196258083
--35	-75	2.58604650106859	-1.048806720	-1.469110430	0.5544164688
--30	-75	2.58071919776278	-0.8569611539	-1.577120582	0.5833577017
--25	-75	2.56854010188529	-0.6548533340	-1.662140275	0.6061386598
--20	-75	2.54977747558261	-0.4456799149	-1.723486470	0.6225763234
--15	-75	2.52474925366457	-0.2326082602	-1.760926168	0.6326082602
--10	-75	2.49381701743597	-0.01871416640	-1.774646039	0.6362844886
--5	-75	2.45737566922726	0.1930707601	-1.765212035	0.6337566548
--2.84217e-14	-75	2.41584769571894	0.4000000000	-1.733529682	0.6252673937
-5	-75	2.36968065792009	0.5995446702	-1.680806017	0.6111401303
-10	-75	2.31935213703756	0.7894213528	-1.608518238	0.5917706785
-15	-75	2.26535885967729	0.9676146749	-1.518366806	0.5676146749
-20	-75	2.20822258291646	1.132397044	-1.412244341	0.5391792460
-25	-75	2.14849750191599	1.282349375	-1.292204341	0.5070146250
-30	-75	2.08675715712303	1.416372756	-1.160409253	0.4717002378
-35	-75	2.02359127455619	1.533696798	-1.019086822	0.4338330066
-40	-75	1.95961436183703	1.633890809	-0.8704938043	0.3940176273
-45	-75	1.89544442958139	1.716853555	-0.7168535551	0.3528498466
-
--45	-70	2.55658021755717	-1.350723325	-1.150723325	0.6372111788
--40	-70	2.56227521196603	-1.186486740	-1.290701272	0.6881589848
--35	-70	2.56107998519262	-1.007738919	-1.410459532	0.7317474268
--30	-70	2.55326785668216	-0.8175793009	-1.508909211	0.7675801797
--25	-70	2.53916206585285	-0.6190826543	-1.585429805	0.7954313980
--20	-70	2.51910931105762	-0.4152230135	-1.639806821	0.8152230135
--15	-70	2.49347718825795	-0.2088295450	-1.672182795	0.8270069042
--10	-70	2.46264102667077	-0.002554287788	-1.682998814	0.8309436131
--5	-70	2.42697618971076	0.2011432312	-1.672943268	0.8272836938
--2.84217e-14	-70	2.38685578102358	0.4000000000	-1.642910764	0.8163527563
-5	-70	2.34265198868834	0.5919475794	-1.593970872	0.7985400923
-10	-70	2.29474002516416	0.7751084411	-1.527345682	0.7742905064
-15	-70	2.24350089015969	0.9477931110	-1.444391722	0.7440977341
-20	-70	2.18933362292744	1.108502464	-1.346594521	0.7085024639
-25	-70	2.13265904348214	1.255934274	-1.235556974	0.6680881017
-30	-70	2.07391823980986	1.388991388	-1.112983332	0.6234749445
-35	-70	2.01358647807168	1.506800283	-0.9806746182	0.5753185111
-40	-70	1.95217647656337	1.608731240	-0.8405097975	0.5243026884
-45	-70	1.89022471824392	1.694409024	-0.6944090239	0.4711263557
-
--45	-65	2.53190447203237	-1.300282558	-1.100282558	0.7928547780
--40	-65	2.53366936077018	-1.133697711	-1.227789758	0.8523123615
--35	-65	2.52899077634289	-0.9550770421	-1.335250577	0.9024221643
--30	-65	2.51830266939897	-0.7675426111	-1.422243122	0.9429874547
--25	-65	2.50203616390657	-0.5739966928	-1.488742648	0.9739966928
--20	-65	2.48061426060647	-0.3770904015	-1.535038331	0.9955847242
--15	-65	2.45443727526498	-0.1792120277	-1.561648716	1.007993350
--10	-65	2.42387512897003	0.01750230667	-1.569252214	1.011538920
--5	-65	2.38926681780702	0.2111438298	-1.558635903	1.006588453
--2.84217e-14	-65	2.35092125492066	0.4000000000	-1.530658240	0.9935422542
-5	-65	2.30912196461199	0.5825212352	-1.486227264	0.9728237499
-10	-65	2.26413492597424	0.7572900172	-1.426292379	0.9448756540
-15	-65	2.21621711605437	0.9229954836	-1.351845717	0.9101606053
-20	-65	2.16563065705640	1.078416965	-1.263935291	0.8691673005
-25	-65	2.11264933487297	1.222415557	-1.163675853	0.8224155569
-30	-65	2.05757160219673	1.353937170	-1.052267645	0.7704650563
-35	-65	2.00073696593579	1.472029505	-0.9310168005	0.7139248589
-40	-65	1.94253222030368	1.575866617	-0.8013432656	0.6534570965
-45	-65	1.88339100753084	1.664777924	-0.6647779235	0.5897756316
-
--45	-60	2.50103846676377	-1.237314013	-1.037314013	0.9453036861
--40	-60	2.49834822673420	-1.068676198	-1.150300136	1.010536254
--35	-60	2.48984918862904	-0.8910176603	-1.243764298	1.064497814
--30	-60	2.47611244253517	-0.7073511483	-1.317988451	1.107351148
--25	-60	2.45766728508142	-0.5202823178	-1.373551799	1.139430663
--20	-60	2.43497737851018	-0.3320189180	-1.411205448	1.161170007
--15	-60	2.40844627572680	-0.1444163337	-1.431789418	1.173054167
--10	-60	2.37841559318142	0.04096916096	-1.436165070	1.175580451
--5	-60	2.34516887476112	0.2228204791	-1.425171191	1.169233132
--2.84217e-14	-60	2.30893809820086	0.4000000000	-1.399599049	1.154469049
-5	-60	2.26991228041749	0.5714938206	-1.360183339	1.131712378
-10	-60	2.22824720382604	0.7363623521	-1.307605692	1.101356660
-15	-60	2.18407875477613	0.8936992617	-1.242510728	1.063774065
-20	-60	2.13753194544344	1.042598915	-1.165526009	1.019326917
-25	-60	2.08873975033340	1.182136081	-1.077296238	0.9683874348
-30	-60	2.03785587267786	1.311356852	-0.9785163714	0.9113568519
-35	-60	1.98507590509979	1.429286457	-0.8699734023	0.8486895395
-40	-60	1.93063933501966	1.534943483	-0.7525729736	0.7809083704
-45	-60	1.87486026568826	1.627384155	-0.6273841550	0.7086305723
-
--45	-55	2.46361755496783	-1.161163093	-0.9611630931	1.093138166
--40	-55	2.45618677593799	-0.9912946682	-1.058080419	1.161000408
--35	-55	2.44378928649891	-0.8158897939	-1.136470586	1.215889794
--30	-55	2.42709601721300	-0.6376686332	-1.197294794	1.258479363
--25	-55	2.40667688926782	-0.4587767846	-1.241652758	1.289539144
--20	-55	2.38299940976746	-0.2808665470	-1.270665463	1.309854059
--15	-55	2.35643400736309	-0.1051903826	-1.285396175	1.320168614
--10	-55	2.32726482523600	0.06730561729	-1.286803604	1.321154107
--5	-55	2.29570167203806	0.2358959426	-1.275717959	1.313391854
--2.84217e-14	-55	2.26189149346296	0.4000000000	-1.252833041	1.297367662
-5	-55	2.22592991429975	0.5591165502	-1.218710491	1.273474796
-10	-55	2.18786895700632	0.7127670320	-1.173789982	1.242021117
-15	-55	2.14773243407277	0.8604473398	-1.118412866	1.203245643
-20	-55	2.10553083473648	1.001588697	-1.052851360	1.157338982
-25	-55	2.06126793041436	1.135524180	-0.9773366942	1.104463044
-30	-55	2.01496367734000	1.261467610	-0.8921056694	1.044783638
-35	-55	1.96666539100490	1.378500229	-0.7974431520	0.9785002292
-40	-55	1.91646936308806	1.485574449	-0.6937372499	0.9058845749
-45	-55	1.86454829599532	1.581540527	-0.5815405273	0.8273235840
-
--45	-50	2.41928509768448	-1.071216627	-0.8712166272	1.234497329
--40	-50	2.40712561367276	-0.9015718221	-0.9511528950	1.301571822
--35	-50	2.39104909000053	-0.7302108607	-1.014108388	1.354397753
--30	-50	2.37175573025006	-0.5593319004	-1.061611593	1.394257675
--25	-50	2.34979421914429	-0.3904577807	-1.095142181	1.422393179
--20	-50	2.32557868198662	-0.2245885911	-1.116043051	1.439931091
--15	-50	2.29940823565819	-0.06233962912	-1.125474986	1.447845425
--10	-50	2.27148460972168	0.09594203906	-1.124398386	1.446942050
--5	-50	2.24192995408964	0.2500817133	-1.113573858	1.437859193
--2.84217e-14	-50	2.21080535889737	0.4000000000	-1.093575160	1.421078292
-5	-50	2.17811826832016	0.5456511870	-1.064800686	1.396933642
-10	-50	2.14383296919127	0.6869706792	-1.027491596	1.365627598
-15	-50	2.10788331216883	0.8238299114	-0.9817547631	1.327249838
-20	-50	2.07018301066534	0.9559961054	-0.9275867449	1.281797474
-25	-50	2.03063445120287	1.083094200	-0.8649002387	1.229197250
-30	-50	1.98913900381752	1.204570419	-0.7935568433	1.169333033
-35	-50	1.94561499856351	1.319661253	-0.7134123854	1.102083848
-40	-50	1.90002312692551	1.427373291	-0.6243758104	1.027373291
-45	-50	1.85237833140592	1.526469056	-0.5264690563	0.9452197697
-
--45	-45	2.36774004690958	-0.9670153535	-0.7670153535	1.367015353
--40	-45	2.35122026049193	-0.7997656394	-0.8298250110	1.429825011
--35	-45	2.33200254931878	-0.6347389290	-0.8777603390	1.477760339
--30	-45	2.31072860826884	-0.4733733207	-0.9127269654	1.512726965
--25	-45	2.28785375325853	-0.3164313661	-0.9363920226	1.536392023
--20	-45	2.26368576742310	-0.1642091206	-0.9501518187	1.550151819
--15	-45	2.23841736507970	-0.01669658666	-0.9551328327	1.555132833
--10	-45	2.21215092712518	0.1263037719	-0.9522084427	1.552208443
--5	-45	2.18491793196188	0.2650905262	-0.9420223415	1.542022341
--2.84217e-14	-45	2.15669648256038	0.4000000000	-0.9250147078	1.525014708
-5	-45	2.12742064107605	0.5313592584	-0.9014431939	1.501443194
-10	-45	2.09698632251148	0.6594475991	-0.8714004520	1.471400452
-15	-45	2.06526164945067	0.7844624748	-0.8348334897	1.434833490
-20	-45	2.03208956376153	0.9064852561	-0.7915568045	1.391556805
-25	-45	1.99729484851631	1.025444120	-0.7412692431	1.341269243
-30	-45	1.96069218017212	1.141071987	-0.6835743329	1.283574333
-35	-45	1.92209794529871	1.252859089	-0.6180090077	1.218009008
-40	-45	1.88134365626419	1.360000010	-0.5440834613	1.144083461
-45	-45	1.83830432295506	1.461345496	-0.4613454957	1.061345496
-
-
diff --git a/test/checkpoint/h.t0.ah2.gp b/test/checkpoint/h.t0.ah2.gp
deleted file mode 100644
index a143762..0000000
--- a/test/checkpoint/h.t0.ah2.gp
+++ /dev/null
@@ -1,1228 +0,0 @@
-# N_patches = 5
-# origin = 0 0 0
-
-### +z patch
-# N_rho = 19
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = dsigma = dnu
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--45	-45	1.86320548475891	-1.075722188	-1.075722188	1.075722188
--40	-45	1.85957717588690	-0.9488931500	-1.130846821	1.130846821
--35	-45	1.85643341363867	-0.8237229084	-1.176398230	1.176398230
--30	-45	1.85376832154229	-0.7006585667	-1.213576236	1.213576236
--25	-45	1.85156544669998	-0.5798095968	-1.243405693	1.243405693
--20	-45	1.84980151757347	-0.4610511329	-1.266727577	1.266727577
--15	-45	1.84845489079424	-0.3441024250	-1.284207733	1.284207733
--10	-45	1.84750630114591	-0.2285809254	-1.296346847	1.296346847
--5	-45	1.84694170098857	-0.1140408659	-1.303493062	1.303493062
-0	-45	1.84675172279338	0.000000000	-1.305850666	1.305850666
-5	-45	1.84693424402847	0.1140404055	-1.303487800	1.303487800
-10	-45	1.84749188652216	0.2285791420	-1.296336732	1.296336732
-15	-45	1.84843478827853	0.3440986828	-1.284193767	1.284193767
-20	-45	1.84977769571949	0.4610451954	-1.266711264	1.266711264
-25	-45	1.85153994649084	0.5798016116	-1.243388569	1.243388569
-30	-45	1.85374464354312	0.7006496173	-1.213560735	1.213560735
-35	-45	1.85641371695953	0.8237141687	-1.176385748	1.176385748
-40	-45	1.85956561261028	0.9488872496	-1.130839789	1.130839789
-45	-45	1.86320548263052	1.075722187	-1.075722187	1.075722187
-
--45	-40	1.85956561354720	-1.130839789	-0.9488872501	1.130839789
--40	-40	1.85507517747233	-1.003069206	-1.003069206	1.195411330
--35	-40	1.85110077750230	-0.8749858845	-1.048546742	1.249609347
--30	-40	1.84767004140345	-0.7473488056	-1.086169247	1.294446102
--25	-40	1.84479039642235	-0.6205772874	-1.116700882	1.330832288
--20	-40	1.84245617105696	-0.4948347321	-1.140795598	1.359547253
--15	-40	1.84065712951401	-0.3700990200	-1.158988196	1.381228346
--10	-40	1.83938129280527	-0.2462171757	-1.171691028	1.396366992
--5	-40	1.83861907916504	-0.1229488110	-1.179196228	1.405311341
-0	-40	1.83836339738286	0.000000000	-1.181677214	1.408268065
-5	-40	1.83861302168555	0.1229484060	-1.179192343	1.405306711
-10	-40	1.83936983426603	0.2462156419	-1.171683729	1.396358294
-15	-40	1.84064145273288	0.3700958679	-1.158978325	1.381216583
-20	-40	1.84243862961100	0.4948300210	-1.140784737	1.359534309
-25	-40	1.84477243956586	0.6205712469	-1.116690012	1.330819334
-30	-40	1.84765527521154	0.7473428329	-1.086160567	1.294435757
-35	-40	1.85109191530352	0.8749816955	-1.048541722	1.249603364
-40	-40	1.85507517653605	1.003069206	-1.003069206	1.195411330
-45	-40	1.85957717500691	1.130846820	-0.9488931496	1.130846820
-
--45	-35	1.85641371753900	-1.176385749	-0.8237141689	1.176385749
--40	-35	1.85109191596710	-1.048541723	-0.8749816958	1.249603365
--35	-35	1.84629366673132	-0.9186101430	-0.9186101430	1.311911245
--30	-35	1.84208377299438	-0.7875553902	-0.9551432647	1.364085950
--25	-35	1.83849931738522	-0.6560334457	-0.9850997640	1.406868264
--20	-35	1.83556018207893	-0.5244531399	-1.008945258	1.440923160
--15	-35	1.83327397821347	-0.3930313260	-1.027073434	1.466812877
--10	-35	1.83164209733276	-0.2618425846	-1.039796354	1.484983090
--5	-35	1.83066331700548	-0.1308616366	-1.047339172	1.495755351
-0	-35	1.83033543510015	0.000000000	-1.049837276	1.499323013
-5	-35	1.83065880832207	0.1308613143	-1.047336593	1.495751667
-10	-35	1.83163384068872	0.2618414043	-1.039791666	1.484976396
-15	-35	1.83326294440009	0.3930289604	-1.027067252	1.466804049
-20	-35	1.83554869149028	0.5244498569	-1.008938942	1.440914139
-25	-35	1.83848891689872	0.6560297345	-0.9850941912	1.406860306
-30	-35	1.84207705253694	0.7875525170	-0.9551397801	1.364080973
-35	-35	1.84629366616472	0.9186101427	-0.9186101427	1.311911244
-40	-35	1.85110077688111	1.048546742	-0.8749858842	1.249609347
-45	-35	1.85643341313701	1.176398229	-0.8237229081	1.176398229
-
--45	-30	1.85374464396995	-1.213560736	-0.7006496175	1.213560736
--40	-30	1.84765527569227	-1.086160567	-0.7473428331	1.294435758
--35	-30	1.84207705299081	-0.9551397803	-0.7875525172	1.364080973
--30	-30	1.83711145339227	-0.8215812184	-0.8215812184	1.423020413
--25	-30	1.83283055916410	-0.6863099677	-0.8497420913	1.471796475
--20	-30	1.82928372373596	-0.5499313069	-0.8723322904	1.510923848
--15	-30	1.82650115226786	-0.4128707669	-0.8896128637	1.540854679
--10	-30	1.82450263411573	-0.2754155806	-0.9017976658	1.561959375
--5	-30	1.82329920860348	-0.1377518198	-0.9090440639	1.574510505
-0	-30	1.82289610943762	0.000000000	-0.9114480547	1.578674339
-5	-30	1.82329603406357	0.1377515799	-0.9090424811	1.574507764
-10	-30	1.82449706609122	0.2754147401	-0.9017949136	1.561954608
-15	-30	1.82649400705454	0.4128691518	-0.8896093836	1.540848651
-20	-30	1.82927710559790	0.5499293174	-0.8723291344	1.510918382
-25	-30	1.83282645998687	0.6863084328	-0.8497401908	1.471793184
-30	-30	1.83711145301843	0.8215812182	-0.8215812182	1.423020413
-35	-30	1.84208377257247	0.9551432645	-0.7875553900	1.364085949
-40	-30	1.84767004098852	1.086169247	-0.7473488054	1.294446102
-45	-30	1.85376832120692	1.213576236	-0.7006585666	1.213576236
-
--45	-25	1.85153994682464	-1.243388569	-0.5798016117	1.243388569
--40	-25	1.84477243993001	-1.116690012	-0.6205712470	1.330819334
--35	-25	1.83848891725308	-0.9850941914	-0.6560297346	1.406860306
--30	-25	1.83282646029592	-0.8497401910	-0.6863084329	1.471793184
--25	-25	1.82789205352152	-0.7115647809	-0.7115647809	1.525955597
--20	-25	1.82376545507530	-0.5713224552	-0.7319610535	1.569695545
--15	-25	1.82050445851425	-0.4296129665	-0.7476485169	1.603337419
--10	-25	1.81814965798728	-0.2869116655	-0.7587557294	1.627156913
--5	-25	1.81672658275770	-0.1436005481	-0.7653795659	1.641361776
-0	-25	1.81624974196668	0.000000000	-0.7675803088	1.646081284
-5	-25	1.81672475338126	0.1436004035	-0.7653787952	1.641360123
-10	-25	1.81814667867422	0.2869111954	-0.7587544860	1.627154246
-15	-25	1.82050070811728	0.4296120815	-0.7476469767	1.603334116
-20	-25	1.82376256875936	0.5713215510	-0.7319598951	1.569693061
-25	-25	1.82789205327452	0.7115647808	-0.7115647808	1.525955597
-30	-25	1.83283055887975	0.8497420912	-0.6863099676	1.471796475
-35	-25	1.83849931708393	0.9850997638	-0.6560334456	1.406868264
-40	-25	1.84479039613872	1.116700882	-0.6205772873	1.330832287
-45	-25	1.85156544646785	1.243405693	-0.5798095968	1.243405693
-
--45	-20	1.84977769598374	-1.266711264	-0.4610451955	1.266711264
--40	-20	1.84243862989187	-1.140784737	-0.4948300210	1.359534309
--35	-20	1.83554869176481	-1.008938942	-0.5244498570	1.440914140
--30	-20	1.82927710584343	-0.8723291345	-0.5499293174	1.510918382
--25	-20	1.82376256896166	-0.7319598952	-0.5713215511	1.569693061
--20	-20	1.81911571224851	-0.5886941811	-0.5886941811	1.617423969
--15	-20	1.81542104263437	-0.4432693319	-0.6021172936	1.654303668
--10	-20	1.81274060650565	-0.2963186660	-0.6116544039	1.680506663
--5	-20	1.81111556124881	-0.1483956002	-0.6173552002	1.696169472
-0	-20	1.81057065650216	0.000000000	-0.6192516354	1.701379885
-5	-20	1.81111471085341	0.1483955306	-0.6173549103	1.696168676
-10	-20	1.81273949174882	0.2963184838	-0.6116540277	1.680505630
-15	-20	1.81541986805409	0.4432690451	-0.6021169040	1.654302598
-20	-20	1.81911571209409	0.5886941810	-0.5886941810	1.617423969
-25	-20	1.82376545489197	0.7319610535	-0.5713224551	1.569695545
-30	-20	1.82928372353270	0.8723322903	-0.5499313069	1.510923848
-35	-20	1.83556018187180	1.008945258	-0.5244531399	1.440923159
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-
--45	-15	1.84843478848531	-1.284193767	-0.3440986829	1.284193767
--40	-15	1.84064145294763	-1.158978325	-0.3700958679	1.381216583
--35	-15	1.83326294460856	-1.027067252	-0.3930289605	1.466804049
--30	-15	1.82649400724222	-0.8896093837	-0.4128691518	1.540848651
--25	-15	1.82050070827429	-0.7476469767	-0.4296120815	1.603334116
--20	-15	1.81541986817589	-0.6021169041	-0.4432690451	1.654302598
--15	-15	1.81136013071397	-0.4538594790	-0.4538594790	1.693826635
--10	-15	1.80840347583046	-0.3036326036	-0.4614047754	1.721986065
--5	-15	1.80660611689295	-0.1521296216	-0.4659233277	1.738849531
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-45	-15	1.84845489070308	1.284207733	-0.3441024250	1.284207733
-
--45	-10	1.84749188667811	-1.296336732	-0.2285791420	1.296336732
--40	-10	1.83936983442373	-1.171683729	-0.2462156419	1.396358294
--35	-10	1.83163384083916	-1.039791666	-0.2618414043	1.484976396
--30	-10	1.82449706622557	-0.9017949137	-0.2754147401	1.561954609
--25	-10	1.81814667878643	-0.7587544861	-0.2869111954	1.627154246
--20	-10	1.81273949183641	-0.6116540278	-0.2963184838	1.680505630
--15	-10	1.80840318754823	-0.4614047018	-0.3036325552	1.721985790
--10	-10	1.80523616369429	-0.3088540096	-0.3088540096	1.751598130
--5	-10	1.80330733234509	-0.1547985753	-0.3119851682	1.769355812
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-45	-10	1.84750630111009	1.296346847	-0.2285809254	1.296346847
-
--45	-5	1.84693424413698	-1.303487800	-0.1140404055	1.303487800
--40	-5	1.83861302179074	-1.179192343	-0.1229484060	1.405306711
--35	-5	1.83065880841886	-1.047336593	-0.1308613143	1.495751667
--30	-5	1.82329603414748	-0.9090424812	-0.1377515800	1.574507764
--25	-5	1.81672475344959	-0.7653787952	-0.1436004035	1.641360123
--20	-5	1.81111471090573	-0.6173549103	-0.1483955306	1.696168676
--15	-5	1.80660574406583	-0.4659232315	-0.1521295902	1.738849172
--10	-5	1.80330718778047	-0.3119851432	-0.1547985629	1.769355671
--5	-5	1.80129602363226	-0.1564003983	-0.1564003983	1.787664732
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-45	-5	1.84694170100320	1.303493062	-0.1140408660	1.303493062
-
--45	0	1.84675172285549	-1.305850666	0.000000000	1.305850666
--40	0	1.83836339743699	-1.181677214	0.000000000	1.408268065
--35	0	1.83033543514469	-1.049837276	0.000000000	1.499323013
--30	0	1.82289610947190	-0.9114480547	0.000000000	1.578674339
--25	0	1.81624974199118	-0.7675803088	0.000000000	1.646081284
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--15	0	1.80600287291196	-0.4674279390	0.000000000	1.744464817
--10	0	1.80265947516697	-0.3130285328	0.000000000	1.775273027
--5	0	1.80062020919719	-0.1569343917	0.000000000	1.793768306
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-
--45	5	1.84694170100322	-1.303493062	0.1140408660	1.303493062
--40	5	1.83861907916694	-1.179196228	0.1229488110	1.405311341
--35	5	1.83066331699649	-1.047339172	0.1308616366	1.495755351
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--25	5	1.81672658273627	-0.7653795659	0.1436005481	1.641361776
--20	5	1.81111556122592	-0.6173552002	0.1483956002	1.696169472
--15	5	1.80660611687159	-0.4659233277	0.1521296216	1.738849531
--10	5	1.80330733232825	-0.3119851682	0.1547985753	1.769355812
--5	5	1.80129602362237	-0.1564003983	0.1564003983	1.787664732
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--45	10	1.84750630111010	-1.296346847	0.2285809254	1.296346847
--40	10	1.83938129275137	-1.171691028	0.2462171757	1.396366992
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--25	10	1.81814965791681	-0.7587557293	0.2869116655	1.627156913
--20	10	1.81274060644205	-0.6116544039	0.2963186660	1.680506663
--15	10	1.80840347577750	-0.4614047754	0.3036326036	1.721986065
--10	10	1.80523616365524	-0.3088540096	0.3088540096	1.751598130
--5	10	1.80330718775794	-0.1547985629	0.3119851432	1.769355671
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-
--45	15	1.84845489070308	-1.284207733	0.3441024250	1.284207733
--40	15	1.84065712939769	-1.158988196	0.3700990200	1.381228346
--35	15	1.83327397808241	-1.027073434	0.3930313259	1.466812877
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--25	15	1.82050445839031	-0.7476485168	0.4296129665	1.603337418
--20	15	1.81542104252714	-0.6021172936	0.4432693319	1.654303668
--15	15	1.81136013062744	-0.4538594790	0.4538594790	1.693826635
--10	15	1.80840318748535	-0.3036325552	0.4614047018	1.721985790
--5	15	1.80660574402893	-0.1521295902	0.4659232315	1.738849172
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-
--45	20	1.84980151741876	-1.266727577	0.4610511328	1.266727577
--40	20	1.84245617086693	-1.140795598	0.4948347321	1.359547253
--35	20	1.83556018187177	-1.008945258	0.5244531399	1.440923159
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--20	20	1.81911571209398	-0.5886941810	0.5886941810	1.617423969
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-
--45	25	1.85156544646784	-1.243405693	0.5798095968	1.243405693
--40	25	1.84479039613869	-1.116700882	0.6205772873	1.330832287
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--25	25	1.82789205327443	-0.7115647808	0.7115647808	1.525955597
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--15	25	1.82050070811710	-0.4296120815	0.7476469767	1.603334116
--10	25	1.81814667867396	-0.2869111954	0.7587544860	1.627154246
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-
--45	30	1.85376832120689	-1.213576236	0.7006585666	1.213576236
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--45	35	1.85643341313699	-1.176398229	0.8237229081	1.176398229
--40	35	1.85110077688107	-1.048546742	0.8749858842	1.249609347
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-
--45	40	1.85957717500687	-1.130846820	0.9488931496	1.130846820
--40	40	1.85507517653600	-1.003069206	1.003069206	1.195411330
--35	40	1.85109191530346	-0.8749816955	1.048541722	1.249603364
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--25	40	1.84477243956576	-0.6205712469	1.116690012	1.330819334
--20	40	1.84243862961089	-0.4948300210	1.140784737	1.359534309
--15	40	1.84064145273276	-0.3700958679	1.158978325	1.381216583
--10	40	1.83936983426590	-0.2462156419	1.171683729	1.396358294
--5	40	1.83861302168545	-0.1229484060	1.179192343	1.405306711
-0	40	1.83836339738284	0.000000000	1.181677214	1.408268065
-5	40	1.83861907916494	0.1229488110	1.179196228	1.405311341
-10	40	1.83938129280513	0.2462171757	1.171691028	1.396366992
-15	40	1.84065712951387	0.3700990200	1.158988196	1.381228346
-20	40	1.84245617105682	0.4948347321	1.140795598	1.359547253
-25	40	1.84479039642222	0.6205772874	1.116700882	1.330832288
-30	40	1.84767004140334	0.7473488056	1.086169247	1.294446102
-35	40	1.85110077750221	0.8749858845	1.048546742	1.249609347
-40	40	1.85507517747224	1.003069206	1.003069206	1.195411330
-45	40	1.85956561354713	1.130839789	0.9488872501	1.130839789
-
--45	45	1.86320548263048	-1.075722187	1.075722187	1.075722187
--40	45	1.85956561261022	-0.9488872496	1.130839789	1.130839789
--35	45	1.85641371695947	-0.8237141687	1.176385748	1.176385748
--30	45	1.85374464354304	-0.7006496173	1.213560735	1.213560735
--25	45	1.85153994649076	-0.5798016116	1.243388569	1.243388569
--20	45	1.84977769571940	-0.4610451954	1.266711264	1.266711264
--15	45	1.84843478827843	-0.3440986828	1.284193767	1.284193767
--10	45	1.84749188652208	-0.2285791420	1.296336732	1.296336732
--5	45	1.84693424402842	-0.1140404055	1.303487800	1.303487800
-0	45	1.84675172279339	0.000000000	1.305850666	1.305850666
-5	45	1.84694170098852	0.1140408659	1.303493062	1.303493062
-10	45	1.84750630114582	0.2285809254	1.296346847	1.296346847
-15	45	1.84845489079414	0.3441024250	1.284207733	1.284207733
-20	45	1.84980151757336	0.4610511329	1.266727577	1.266727577
-25	45	1.85156544669987	0.5798095968	1.243405693	1.243405693
-30	45	1.85376832154219	0.7006585667	1.213576236	1.213576236
-35	45	1.85643341363857	0.8237229084	1.176398230	1.176398230
-40	45	1.85957717588682	0.9488931500	1.130846821	1.130846821
-45	45	1.86320548475883	1.075722188	1.075722188	1.075722188
-
-
-### +x patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = drho = dnu
-# dpy = dsigma = dphi
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-45	1.86320536619960	1.075722120	-1.075722120	1.075722120
-45	-40	1.85957706207812	1.130846751	-0.9488930919	1.130846751
-45	-35	1.85643338752923	1.176398213	-0.8237228968	1.176398213
-45	-30	1.85376823715937	1.213576181	-0.7006585348	1.213576181
-45	-25	1.85156541644366	1.243405673	-0.5798095874	1.243405673
-45	-20	1.84980150077214	1.266727565	-0.4610511287	1.266727565
-45	-15	1.84845488772368	1.284207731	-0.3441024245	1.284207731
-45	-10	1.84750630098330	1.296346846	-0.2285809254	1.296346846
-45	-5	1.84694170140159	1.303493063	-0.1140408660	1.303493063
-45	0	1.84675172320800	1.305850667	0.000000000	1.305850667
-45	5	1.84693424480335	1.303487800	0.1140404056	1.303487800
-45	10	1.84749188775533	1.296336733	0.2285791421	1.296336733
-45	15	1.84843478550457	1.284193765	0.3440986823	1.284193765
-45	20	1.84977769133911	1.266711261	0.4610451943	1.266711261
-45	25	1.85153991037774	1.243388544	0.5798016003	1.243388544
-45	30	1.85374458322703	1.213560696	0.7006495945	1.213560696
-45	35	1.85641366891659	1.176385718	0.8237141474	1.176385718
-45	40	1.85956548282128	1.130839710	0.9488871833	1.130839710
-45	45	1.86320539731521	1.075722138	1.075722138	1.075722138
-
-50	-45	1.87053229724106	1.137508853	-1.137508853	0.9544832593
-50	-40	1.86731533188089	1.203298892	-1.009687656	1.009687656
-50	-35	1.86446036940606	1.258627911	-0.8813007511	1.056114216
-50	-30	1.86198984635758	1.304478313	-0.7531409053	1.094587272
-50	-25	1.85991282821473	1.341741614	-0.6256643899	1.125854893
-50	-20	1.85822580720421	1.371183657	-0.4990700370	1.150559701
-50	-15	1.85692306951383	1.393434301	-0.3733695957	1.169230208
-50	-10	1.85599703250074	1.408980837	-0.2484413369	1.182275301
-50	-5	1.85544217064629	1.418169731	-0.1240737744	1.189985698
-50	0	1.85525391642395	1.421206953	0.000000000	1.192534230
-50	5	1.85543196794196	1.418161933	0.1240730921	1.189979155
-50	10	1.85597754398784	1.408966043	0.2484387282	1.182262887
-50	15	1.85689585874788	1.393413882	0.3733641244	1.169213075
-50	20	1.85819436696735	1.371160458	0.4990615930	1.150540234
-50	25	1.85987929614869	1.341717424	0.6256531099	1.125834596
-50	30	1.86195895720062	1.304456673	0.7531284112	1.094569113
-50	35	1.86443571195465	1.258611266	0.8812890959	1.056100249
-50	40	1.86730096024353	1.203289631	1.009679885	1.009679885
-50	45	1.87053228366298	1.137508845	1.137508845	0.9544832524
-
-55	-45	1.87697593875238	1.189415766	-1.189415766	0.8328378857
-55	-40	1.87428075632610	1.265257289	-1.061676925	0.8859426917
-55	-35	1.87183812934780	1.330062240	-0.9313196068	0.9313196068
-55	-30	1.86968534244065	1.384525255	-0.7993560288	0.9694550205
-55	-25	1.86784353339391	1.429323234	-0.6665043700	1.000822903
-55	-20	1.86632670434947	1.465075021	-0.5332436985	1.025856573
-55	-15	1.86514168227291	1.492310408	-0.3998633686	1.044926997
-55	-10	1.86429163959619	1.511453336	-0.2665100033	1.058331020
-55	-5	1.86377904145994	1.522812769	-0.1332288540	1.066284980
-55	0	1.86360351618542	1.526574630	0.000000000	1.068919064
-55	5	1.86376633377510	1.522802386	0.1332279456	1.066277710
-55	10	1.86426762235901	1.511433865	0.2665065699	1.058317386
-55	15	1.86510762021836	1.492283154	0.3998560661	1.044907914
-55	20	1.86628726935583	1.465044064	0.5332324312	1.025834897
-55	25	1.86780264694466	1.429291947	0.6664897804	1.000800995
-55	30	1.86964744930190	1.384497195	0.7993398281	0.9694353725
-55	35	1.87180918321394	1.330041672	0.9313052049	0.9313052049
-55	40	1.87426435732465	1.265246219	1.061667636	0.8859349402
-55	45	1.87697589136522	1.189415736	1.189415736	0.8328378647
-
-60	-45	1.88250590733363	1.232389402	-1.232389402	0.7115203532
-60	-40	1.88038358415890	1.317364652	-1.105400194	0.7605808365
-60	-35	1.87842471321548	1.390996868	-0.9739864926	0.8030924162
-60	-30	1.87666635639987	1.453659509	-0.8392707088	0.8392707088
-60	-25	1.87513806153508	1.505770174	-0.7021521635	0.8693568153
-60	-20	1.87386472341735	1.547746182	-0.5633335403	0.8935916746
-60	-15	1.87285887697030	1.579962520	-0.4233496814	0.9121917864
-60	-10	1.87213114480538	1.602734213	-0.2826052846	0.9253390293
-60	-5	1.87168896887348	1.616297495	-0.1414077077	0.9331697938
-60	0	1.87153572385448	1.620797481	0.000000000	0.9357678619
-60	5	1.87167376108233	1.616284362	0.1414065587	0.9331622117
-60	10	1.87210281400821	1.602709959	0.2826010080	0.9253250262
-60	15	1.87281890376403	1.579928798	0.4233406456	0.9121723171
-60	20	1.87381897836104	1.547708398	0.5633197882	0.8935698602
-60	25	1.87509292475391	1.505733928	0.7021352619	0.8693358888
-60	30	1.87662372158440	1.453626484	0.8392516419	0.8392516419
-60	35	1.87839186081111	1.390972540	0.9739694582	0.8030783706
-60	40	1.88036601666020	1.317352345	1.105389866	0.7605737308
-60	45	1.88250592665306	1.232389415	1.232389415	0.7115203605
-
-65	-45	1.88712557147171	1.267285844	-1.267285844	0.5909450939
-65	-40	1.88557250029601	1.360252508	-1.141387378	0.6342961617
-65	-35	1.88411429676653	1.441774052	-1.009541060	0.6723102818
-65	-30	1.88278423418740	1.511910191	-0.8729017555	0.7050153003
-65	-25	1.88161472210339	1.570804201	-0.7324780284	0.7324780284
-65	-20	1.88062761831792	1.618636204	-0.5891353985	0.7547824579
-65	-15	1.87983895867226	1.655593937	-0.4436150583	0.7720161315
-65	-10	1.87926299839134	1.681850427	-0.2965556078	0.7842597339
-65	-5	1.87891051356517	1.697543222	-0.1485157878	0.7915774046
-65	0	1.87878710501086	1.702759383	0.000000000	0.7940097405
-65	5	1.87889407922564	1.697528374	0.1485144888	0.7915704809
-65	10	1.87923260587567	1.681823227	0.2965508117	0.7842470504
-65	15	1.87979536323586	1.655555542	0.4436047704	0.7719982276
-65	20	1.88057660448337	1.618592297	0.5891194176	0.7547619837
-65	25	1.88156456107889	1.570762326	0.7324585017	0.7324585017
-65	30	1.88273968139273	1.511874414	0.8728810998	0.7049986173
-65	35	1.88407934614606	1.441747307	1.009522332	0.6722978103
-65	40	1.88555371943718	1.360238960	1.141376009	0.6342898439
-65	45	1.88712557845627	1.267285848	1.267285848	0.5909450961
-
-70	-45	1.89085325989162	1.294839444	-1.294839444	0.4712830156
-70	-40	1.88982095921868	1.394497700	-1.170122506	0.5075556547
-70	-35	1.88883643562611	1.482745263	-1.038229410	0.5396751407
-70	-30	1.88792674722909	1.559360917	-0.9002974455	0.5675609584
-70	-25	1.88711680039368	1.624221374	-0.7573868655	0.5911682342
-70	-20	1.88642418194163	1.677269713	-0.6104762503	0.6104762503
-70	-15	1.88586506733260	1.718495834	-0.4604695709	0.6254813312
-70	-10	1.88545283783026	1.747914757	-0.3082045317	0.6361889436
-70	-5	1.88519837862041	1.765550475	-0.1544656514	0.6426078199
-70	0	1.88510707343256	1.771421206	0.000000000	0.6447445914
-70	5	1.88518214984684	1.765535276	0.1544643217	0.6426022880
-70	10	1.88542300120635	1.747887097	0.3081996544	0.6361788762
-70	15	1.88582194660091	1.718456540	0.4604590421	0.6254670294
-70	20	1.88637176694782	1.677223109	0.6104592880	0.6104592880
-70	25	1.88706414244232	1.624176052	0.7573657314	0.5911517383
-70	30	1.88788117522365	1.559323277	0.9002757135	0.5675472583
-70	35	1.88880137826271	1.482717743	1.038210140	0.5396651242
-70	40	1.88980172156321	1.394483505	1.170110595	0.5075504879
-70	45	1.89085325951794	1.294839443	1.294839443	0.4712830155
-
-75	-45	1.89371598924530	1.315652727	-1.315652727	0.3525280857
-75	-40	1.89312098687639	1.420597203	-1.192022589	0.3806478734
-75	-35	1.89254460064304	1.514235638	-1.060279208	0.4057382162
-75	-30	1.89200584250194	1.596115092	-0.9215174782	0.4276777500
-75	-25	1.89151912313868	1.665880780	-0.7768129655	0.4463714098
-75	-20	1.89109755341405	1.723263940	-0.6272167801	0.4617471812
-75	-15	1.89075178826270	1.768066816	-0.4737520756	0.4737520756
-75	-10	1.89049419729879	1.800153952	-0.3174157111	0.4823497976
-75	-5	1.89033369756604	1.819436917	-0.1591801043	0.4875166527
-75	0	1.89027432437066	1.825864789	0.000000000	0.4892389956
-75	5	1.89031897404178	1.819422746	0.1591788644	0.4875128555
-75	10	1.89046686617521	1.800127926	0.3174111222	0.4823428242
-75	15	1.89071155292603	1.768029192	0.4737419941	0.4737419941
-75	20	1.89104700142258	1.723217875	0.6272000136	0.4617348379
-75	25	1.89146713451871	1.665834993	0.7767916147	0.4463591412
-75	30	1.89196030210579	1.596076674	0.9214952973	0.4276674558
-75	35	1.89251083859520	1.514208624	1.060260293	0.4057309781
-75	40	1.89310197304704	1.420582935	1.192010617	0.3806440503
-75	45	1.89371598530860	1.315652724	1.315652724	0.3525280850
-
-80	-45	1.89573936979979	1.330190729	-1.330190729	0.2345485151
-80	-40	1.89547339411299	1.438949332	-1.207421854	0.2537255911
-80	-35	1.89521033137713	1.536520316	-1.075883108	0.2709299881
-80	-30	1.89496004268207	1.622278066	-0.9366226780	0.2860513932
-80	-25	1.89472886667170	1.695691639	-0.7907139970	0.2989961869
-80	-20	1.89452359358525	1.756323829	-0.6392495954	0.3096872779
-80	-15	1.89435048135363	1.803825957	-0.4833337085	0.3180631847
-80	-10	1.89421989763427	1.837937937	-0.3240780471	0.3240780471
-80	-5	1.89413777199296	1.858476154	-0.1625955949	0.3276994890
-80	0	1.89410580716783	1.865330084	0.000000000	0.3289080217
-80	5	1.89412573407790	1.858464343	0.1625945616	0.3276974064
-80	10	1.89419712246340	1.837915838	0.3240741506	0.3240741506
-80	15	1.89431540672750	1.803792558	0.4833247593	0.3180572957
-80	20	1.89447643968771	1.756280115	0.6392336847	0.3096795699
-80	25	1.89467914641401	1.695647141	0.7906932476	0.2989883408
-80	30	1.89491549483914	1.622239928	0.9366006593	0.2860446686
-80	35	1.89517711257182	1.536493384	1.075864250	0.2709252393
-80	40	1.89545478514246	1.438935205	1.207410000	0.2537231001
-80	45	1.89573936631921	1.330190727	1.330190727	0.2345485146
-
-85	-45	1.89694468222590	1.338783044	-1.338783044	0.1171283393
-85	-40	1.89688218915634	1.449843572	-1.216563206	0.1268448764
-85	-35	1.89681502315923	1.549805032	-1.085185166	0.1355903710
-85	-30	1.89674679164759	1.637936184	-0.9456628969	0.1433008477
-85	-25	1.89667933151267	1.713596853	-0.7990633358	0.1499202985
-85	-20	1.89661299117318	1.776240636	-0.6464987204	0.1554009193
-85	-15	1.89655234886603	1.825422339	-0.4891204415	0.1597037608
-85	-10	1.89650567352230	1.860799475	-0.3281091531	0.1627988591
-85	-5	1.89647600077145	1.882124436	-0.1646645515	0.1646645515
-85	0	1.89646272422797	1.889246111	0.000000000	0.1652876173
-85	5	1.89646650092960	1.882115008	0.1646637267	0.1646637267
-85	10	1.89648736012982	1.860781506	0.3281059847	0.1627972871
-85	15	1.89652236301660	1.825393477	0.4891127081	0.1597012357
-85	20	1.89656906003528	1.776199493	0.6464837456	0.1553973198
-85	25	1.89663038268237	1.713552630	0.7990427138	0.1499164294
-85	30	1.89670319648706	1.637898538	0.9456411617	0.1432975541
-85	35	1.89678217434044	1.549778193	1.085166373	0.1355880229
-85	40	1.89686398383514	1.449829657	1.216551530	0.1268436590
-85	45	1.89694467940667	1.338783042	1.338783042	0.1171283391
-
-90	-45	1.89734414798273	1.341624913	-1.341624913	0.000000000
-90	-40	1.89735054473313	1.453454841	-1.219593421	0.000000000
-90	-35	1.89735011340882	1.554218224	-1.088275317	0.000000000
-90	-30	1.89734422111623	1.643148295	-0.9486721106	0.000000000
-90	-25	1.89733306611960	1.719567732	-0.8018476023	0.000000000
-90	-20	1.89731476574361	1.782892685	-0.6489198681	0.000000000
-90	-15	1.89729322770364	1.832644529	-0.4910556215	0.000000000
-90	-10	1.89727595873419	1.868452074	-0.3294585128	0.000000000
-90	-5	1.89726479860810	1.890045133	-0.1653575227	0.000000000
-90	0	1.89725817053326	1.897258171	0.000000000	0.000000000
-90	5	1.89725631820464	1.890036685	0.1653567836	0.000000000
-90	10	1.89725948856134	1.868435854	0.3294556527	0.000000000
-90	15	1.89726537507772	1.832617625	0.4910484127	0.000000000
-90	20	1.89727221046727	1.782852696	0.6489053134	0.000000000
-90	25	1.89728453554346	1.719523749	0.8018270924	0.000000000
-90	30	1.89730106058057	1.643110917	0.9486505303	0.000000000
-90	35	1.89731742332447	1.554191446	1.088256566	0.000000000
-90	40	1.89733250677152	1.453441024	1.219581827	0.000000000
-90	45	1.89734414613162	1.341624912	1.341624912	0.000000000
-
-
-### +y patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = 90 - dsigma = 90 - dphi
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
-45	45	1.86320536686171	1.075722120	1.075722120	1.075722120
-40	45	1.85957706266078	0.9488930922	1.130846752	1.130846752
-35	45	1.85643338797004	0.8237228970	1.176398213	1.176398213
-30	45	1.85376823748081	0.7006585350	1.213576181	1.213576181
-25	45	1.85156541667213	0.5798095874	1.243405673	1.243405673
-20	45	1.84980150092576	0.4610511287	1.266727565	1.266727565
-15	45	1.84845488781446	0.3441024245	1.284207731	1.284207731
-10	45	1.84750630101895	0.2285809254	1.296346846	1.296346846
-5	45	1.84694170138690	0.1140408660	1.303493063	1.303493063
-0	45	1.84675172314594	0.000000000	1.305850667	1.305850667
--5	45	1.84693424469487	-0.1140404056	1.303487800	1.303487800
--10	45	1.84749188759946	-0.2285791421	1.296336733	1.296336733
--15	45	1.84843478529811	-0.3440986823	1.284193765	1.284193765
--20	45	1.84977769107605	-0.4610451943	1.266711261	1.266711261
--25	45	1.85153991004820	-0.5798016002	1.243388544	1.243388544
--30	45	1.85374458281631	-0.7006495943	1.213560696	1.213560696
--35	45	1.85641366840439	-0.8237141471	1.176385717	1.176385717
--40	45	1.85956548219618	-0.9488871830	1.130839709	1.130839709
--45	45	1.86320539665249	-1.075722137	1.075722137	1.075722137
-
-45	50	1.87053229770860	1.137508854	1.137508854	0.9544832595
-40	50	1.86731533234205	1.009687656	1.203298892	1.009687656
-35	50	1.86446036979561	0.8813007512	1.258627911	1.056114216
-30	50	1.86198984665982	0.7531409054	1.304478313	1.094587272
-25	50	1.85991282843570	0.6256643899	1.341741614	1.125854894
-20	50	1.85822580735448	0.4990700371	1.371183658	1.150559701
-15	50	1.85692306960182	0.3733695957	1.393434301	1.169230208
-10	50	1.85599703253240	0.2484413369	1.408980837	1.182275301
-5	50	1.85544217062636	0.1240737744	1.418169731	1.189985698
-0	50	1.85525391635561	0.000000000	1.421206953	1.192534230
--5	50	1.85543196782658	-0.1240730921	1.418161933	1.189979155
--10	50	1.85597754382461	-0.2484387282	1.408966042	1.182262887
--15	50	1.85689585853414	-0.3733641244	1.393413882	1.169213074
--20	50	1.85819436669881	-0.4990615929	1.371160458	1.150540234
--25	50	1.85987929581958	-0.6256531098	1.341717424	1.125834595
--30	50	1.86195895680543	-0.7531284110	1.304456673	1.094569113
--35	50	1.86443571149400	-0.8812890957	1.258611265	1.056100249
--40	50	1.86730095974320	-1.009679885	1.203289630	1.009679885
--45	50	1.87053228319463	-1.137508845	1.137508845	0.9544832521
-
-45	55	1.87697593911944	1.189415767	1.189415767	0.8328378859
-40	55	1.87428075669101	1.061676925	1.265257289	0.8859426919
-35	55	1.87183812967249	0.9313196070	1.330062240	0.9313196070
-30	55	1.86968534270482	0.7993560289	1.384525255	0.9694550206
-25	55	1.86784353359301	0.6665043700	1.429323234	1.000822903
-20	55	1.86632670448655	0.5332436985	1.465075021	1.025856574
-15	55	1.86514168235245	0.3998633686	1.492310408	1.044926997
-10	55	1.86429163962163	0.2665100033	1.511453336	1.058331020
-5	55	1.86377904143485	0.1332288539	1.522812769	1.066284980
-0	55	1.86360351611280	0.000000000	1.526574630	1.068919064
--5	55	1.86376633365674	-0.1332279456	1.522802386	1.066277710
--10	55	1.86426762219469	-0.2665065699	1.511433865	1.058317385
--15	55	1.86510762000690	-0.3998560661	1.492283154	1.044907914
--20	55	1.86628726909566	-0.5332324311	1.465044064	1.025834897
--25	55	1.86780264663501	-0.6664897803	1.429291946	1.000800995
--30	55	1.86964744894516	-0.7993398280	1.384497195	0.9694353723
--35	55	1.87180918282140	-0.9313052047	1.330041672	0.9313052047
--40	55	1.87426435692442	-1.061667635	1.265246219	0.8859349400
--45	55	1.87697589099785	-1.189415736	1.189415736	0.8328378645
-
-45	60	1.88250590764014	1.232389403	1.232389403	0.7115203533
-40	60	1.88038358445917	1.105400194	1.317364652	0.7605808366
-35	60	1.87842471348632	0.9739864927	1.390996868	0.8030924163
-30	60	1.87666635662488	0.8392707089	1.453659509	0.8392707089
-25	60	1.87513806170794	0.7021521636	1.505770174	0.8693568154
-20	60	1.87386472353693	0.5633335404	1.547746182	0.8935916747
-15	60	1.87285887703833	0.4233496814	1.579962520	0.9121917864
-10	60	1.87213114482391	0.2826052846	1.602734213	0.9253390293
-5	60	1.87168896884459	0.1414077077	1.616297495	0.9331697938
-0	60	1.87153572378022	0.000000000	1.620797481	0.9357678619
--5	60	1.87167376096477	-0.1414065587	1.616284362	0.9331622116
--10	60	1.87210281384780	-0.2826010080	1.602709959	0.9253250261
--15	60	1.87281890356101	-0.4233406456	1.579928798	0.9121723170
--20	60	1.87381897811702	-0.5633197881	1.547708398	0.8935698600
--25	60	1.87509292447099	-0.7021352618	1.505733928	0.8693358887
--30	60	1.87662372126882	-0.8392516418	1.453626484	0.8392516418
--35	60	1.87839186047617	-0.9739694580	1.390972540	0.8030783705
--40	60	1.88036601632727	-1.105389866	1.317352344	0.7605737306
--45	60	1.88250592634645	-1.232389415	1.232389415	0.7115203604
-
-45	65	1.88712557173809	1.267285844	1.267285844	0.5909450940
-40	65	1.88557250055230	1.141387378	1.360252509	0.6342961617
-35	65	1.88411429699739	1.009541060	1.441774052	0.6723102819
-30	65	1.88278423438099	0.8729017556	1.511910191	0.7050153003
-25	65	1.88161472225317	0.7324780285	1.570804201	0.7324780285
-20	65	1.88062761842117	0.5891353985	1.618636205	0.7547824579
-15	65	1.87983895872883	0.4436150583	1.655593937	0.7720161315
-10	65	1.87926299840264	0.2965556078	1.681850427	0.7842597339
-5	65	1.87891051353256	0.1485157878	1.697543222	0.7915774046
-0	65	1.87878710493566	0.000000000	1.702759383	0.7940097405
--5	65	1.87889407910998	-0.1485144888	1.697528374	0.7915704808
--10	65	1.87923260572054	-0.2965508117	1.681823227	0.7842470504
--15	65	1.87979536304295	-0.4436047704	1.655555542	0.7719982275
--20	65	1.88057660425631	-0.5891194176	1.618592297	0.7547619836
--25	65	1.88156456082130	-0.7324585016	1.570762326	0.7324585016
--30	65	1.88273968111204	-0.8728810997	1.511874414	0.7049986172
--35	65	1.88407934585418	-1.009522332	1.441747307	0.6722978102
--40	65	1.88555371914980	-1.141376009	1.360238960	0.6342898438
--45	65	1.88712557818983	-1.267285848	1.267285848	0.5909450960
-
-45	70	1.89085326013052	1.294839444	1.294839444	0.4712830157
-40	70	1.88982095944501	1.170122506	1.394497700	0.5075556547
-35	70	1.88883643582838	1.038229410	1.482745263	0.5396751407
-30	70	1.88792674739868	0.9002974456	1.559360918	0.5675609585
-25	70	1.88711680052453	0.7573868655	1.624221375	0.5911682342
-20	70	1.88642418203154	0.6104762504	1.677269713	0.6104762504
-15	70	1.88586506737952	0.4604695709	1.718495834	0.6254813312
-10	70	1.88545283783489	0.3082045317	1.747914757	0.6361889436
-5	70	1.88519837858401	0.1544656514	1.765550475	0.6426078199
-0	70	1.88510707335628	0.000000000	1.771421206	0.6447445914
--5	70	1.88518214973269	-0.1544643217	1.765535276	0.6426022880
--10	70	1.88542300105604	-0.3081996544	1.747887097	0.6361788761
--15	70	1.88582194641727	-0.4604590421	1.718456540	0.6254670294
--20	70	1.88637176673489	-0.6104592880	1.677223109	0.6104592880
--25	70	1.88706414220572	-0.7573657313	1.624176052	0.5911517382
--30	70	1.88788117497005	-0.9002757134	1.559323276	0.5675472582
--35	70	1.88880137800196	-1.038210140	1.482717742	0.5396651241
--40	70	1.88980172130733	-1.170110594	1.394483505	0.5075504879
--45	70	1.89085325927899	-1.294839443	1.294839443	0.4712830155
-
-45	75	1.89371598946557	1.315652727	1.315652727	0.3525280858
-40	75	1.89312098708229	1.192022589	1.420597203	0.3806478734
-35	75	1.89254460082540	1.060279208	1.514235638	0.4057382163
-30	75	1.89200584265403	0.9215174782	1.596115092	0.4276777500
-25	75	1.89151912325549	0.7768129655	1.665880780	0.4463714098
-20	75	1.89109755349375	0.6272167801	1.723263940	0.4617471812
-15	75	1.89075178830139	0.4737520756	1.768066816	0.4737520756
-10	75	1.89049419729720	0.3174157111	1.800153952	0.4823497976
-5	75	1.89033369752667	0.1591801043	1.819436917	0.4875166527
-0	75	1.89027432429363	0.000000000	1.825864789	0.4892389956
--5	75	1.89031897392935	-0.1591788644	1.819422746	0.4875128554
--10	75	1.89046686602900	-0.3174111221	1.800127926	0.4823428241
--15	75	1.89071155275005	-0.4737419940	1.768029191	0.4737419940
--20	75	1.89104700122194	-0.6272000135	1.723217875	0.4617348379
--25	75	1.89146713429842	-0.7767916146	1.665834993	0.4463591412
--30	75	1.89196030187206	-0.9214952972	1.596076674	0.4276674558
--35	75	1.89251083835673	-1.060260293	1.514208624	0.4057309780
--40	75	1.89310197281290	-1.192010617	1.420582935	0.3806440503
--45	75	1.89371598508832	-1.315652724	1.315652724	0.3525280850
-
-45	80	1.89573937000775	1.330190729	1.330190729	0.2345485151
-40	80	1.89547339430502	1.207421854	1.438949332	0.2537255911
-35	80	1.89521033154634	1.075883108	1.536520316	0.2709299881
-30	80	1.89496004282216	0.9366226781	1.622278066	0.2860513932
-25	80	1.89472886677844	0.7907139970	1.695691639	0.2989961869
-20	80	1.89452359365731	0.6392495954	1.756323829	0.3096872779
-15	80	1.89435048138697	0.4833337085	1.803825957	0.3180631847
-10	80	1.89421989762916	0.3240780471	1.837937937	0.3240780471
-5	80	1.89413777195163	0.1625955949	1.858476154	0.3276994890
-0	80	1.89410580709042	0.000000000	1.865330084	0.3289080217
--5	80	1.89412573396680	-0.1625945616	1.858464343	0.3276974064
--10	80	1.89419712232109	-0.3240741505	1.837915838	0.3240741505
--15	80	1.89431540655811	-0.4833247593	1.803792558	0.3180572956
--20	80	1.89447643949636	-0.6392336847	1.756280114	0.3096795698
--25	80	1.89467914620511	-0.7906932475	1.695647141	0.2989883408
--30	80	1.89491549461963	-0.9366006592	1.622239928	0.2860446685
--35	80	1.89517711234882	-1.075864250	1.536493384	0.2709252392
--40	80	1.89545478492268	-1.207410000	1.438935205	0.2537231001
--45	80	1.89573936611123	-1.330190727	1.330190727	0.2345485146
-
-45	85	1.89694468242701	1.338783044	1.338783044	0.1171283393
-40	85	1.89688218934070	1.216563206	1.449843572	0.1268448764
-35	85	1.89681502332069	1.085185166	1.549805032	0.1355903710
-30	85	1.89674679178051	0.9456628970	1.637936184	0.1433008477
-25	85	1.89667933161311	0.7990633358	1.713596854	0.1499202985
-20	85	1.89661299123962	0.6464987204	1.776240636	0.1554009194
-15	85	1.89655234889625	0.4891204415	1.825422339	0.1597037608
-10	85	1.89650567351607	0.3281091531	1.860799475	0.1627988591
-5	85	1.89647600072903	0.1646645515	1.882124436	0.1646645515
-0	85	1.89646272415044	0.000000000	1.889246111	0.1652876173
--5	85	1.89646650081931	-0.1646637266	1.882115008	0.1646637266
--10	85	1.89648735999038	-0.3281059847	1.860781506	0.1627972871
--15	85	1.89652236285188	-0.4891127081	1.825393477	0.1597012357
--20	85	1.89656905984986	-0.6464837455	1.776199493	0.1553973198
--25	85	1.89663038248055	-0.7990427137	1.713552629	0.1499164294
--30	85	1.89670319627562	-0.9456411616	1.637898538	0.1432975540
--35	85	1.89678217412562	-1.085166373	1.549778193	0.1355880228
--40	85	1.89686398362339	-1.216551530	1.449829657	0.1268436590
--45	85	1.89694467920553	-1.338783042	1.338783042	0.1171283391
-
-45	90	1.89734414818173	1.341624913	1.341624913	0.000000000
-40	90	1.89735054491525	1.219593422	1.453454842	0.000000000
-35	90	1.89735011356761	1.088275317	1.554218224	0.000000000
-30	90	1.89734422124678	0.9486721106	1.643148295	0.000000000
-25	90	1.89733306621772	0.8018476024	1.719567733	0.000000000
-20	90	1.89731476580797	0.6489198681	1.782892685	0.000000000
-15	90	1.89729322773262	0.4910556215	1.832644529	0.000000000
-10	90	1.89727595872729	0.3294585128	1.868452074	0.000000000
-5	90	1.89726479856517	0.1653575227	1.890045133	0.000000000
-0	90	1.89725817045560	0.000000000	1.897258170	0.000000000
--5	90	1.89725631809463	-0.1653567836	1.890036685	0.000000000
--10	90	1.89725948842276	-0.3294556527	1.868435854	0.000000000
--15	90	1.89726537491494	-0.4910484126	1.832617625	0.000000000
--20	90	1.89727221028436	-0.6489053133	1.782852696	0.000000000
--25	90	1.89728453534411	-0.8018270924	1.719523749	0.000000000
--30	90	1.89730106037140	-0.9486505302	1.643110917	0.000000000
--35	90	1.89731742311170	-1.088256566	1.554191446	0.000000000
--40	90	1.89733250656227	-1.219581827	1.453441023	0.000000000
--45	90	1.89734414593260	-1.341624912	1.341624912	0.000000000
-
-
-### -x patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = drho = dnu
-# dpy = 180 - dsigma = 180 - dphi
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--90	45	1.89734414798272	-1.341624913	1.341624913	1.643016656e-16
--90	40	1.89735054473312	-1.453454841	1.219593421	1.779968819e-16
--90	35	1.89735011340882	-1.554218224	1.088275317	1.903368373e-16
--90	30	1.89734422111623	-1.643148295	0.9486721106	2.012276300e-16
--90	25	1.89733306611960	-1.719567732	0.8018476023	2.105863119e-16
--90	20	1.89731476574361	-1.782892685	0.6489198681	2.183413820e-16
--90	15	1.89729322770365	-1.832644529	0.4910556215	2.244342256e-16
--90	10	1.89727595873421	-1.868452074	0.3294585128	2.288193851e-16
--90	5	1.89726479860812	-1.890045133	0.1653575227	2.314637723e-16
--90	-2.84217e-14	1.89725817053329	-1.897258171	-6.102047673e-16	2.323471146e-16
--90	-5	1.89725631820467	-1.890036685	-0.1653567836	2.314627377e-16
--90	-10	1.89725948856137	-1.868435854	-0.3294556527	2.288173988e-16
--90	-15	1.89726537507776	-1.832617625	-0.4910484127	2.244309309e-16
--90	-20	1.89727221046732	-1.782852696	-0.6489053134	2.183364847e-16
--90	-25	1.89728453554351	-1.719523749	-0.8018270924	2.105809255e-16
--90	-30	1.89730106058062	-1.643110917	-0.9486505303	2.012230525e-16
--90	-35	1.89731742332452	-1.554191446	-1.088256566	1.903335580e-16
--90	-40	1.89733250677157	-1.453441024	-1.219581827	1.779951897e-16
--90	-45	1.89734414613167	-1.341624912	-1.341624912	1.643016654e-16
-
--85	45	1.89694468222588	-1.338783044	1.338783044	0.1171283393
--85	40	1.89688218915633	-1.449843572	1.216563206	0.1268448764
--85	35	1.89681502315923	-1.549805032	1.085185166	0.1355903710
--85	30	1.89674679164759	-1.637936184	0.9456628969	0.1433008477
--85	25	1.89667933151267	-1.713596853	0.7990633358	0.1499202985
--85	20	1.89661299117319	-1.776240636	0.6464987204	0.1554009193
--85	15	1.89655234886605	-1.825422339	0.4891204415	0.1597037608
--85	10	1.89650567352231	-1.860799475	0.3281091531	0.1627988591
--85	5	1.89647600077147	-1.882124436	0.1646645515	0.1646645515
--85	-2.84217e-14	1.89646272422800	-1.889246111	-6.076278924e-16	0.1652876173
--85	-5	1.89646650092963	-1.882115008	-0.1646637267	0.1646637267
--85	-10	1.89648736012985	-1.860781506	-0.3281059847	0.1627972871
--85	-15	1.89652236301663	-1.825393477	-0.4891127081	0.1597012357
--85	-20	1.89656906003532	-1.776199493	-0.6464837456	0.1553973198
--85	-25	1.89663038268241	-1.713552630	-0.7990427138	0.1499164294
--85	-30	1.89670319648710	-1.637898538	-0.9456411617	0.1432975541
--85	-35	1.89678217434049	-1.549778193	-1.085166373	0.1355880229
--85	-40	1.89686398383519	-1.449829657	-1.216551530	0.1268436590
--85	-45	1.89694467940672	-1.338783042	-1.338783042	0.1171283391
-
--80	45	1.89573936979977	-1.330190729	1.330190729	0.2345485151
--80	40	1.89547339411298	-1.438949332	1.207421854	0.2537255911
--80	35	1.89521033137712	-1.536520316	1.075883108	0.2709299881
--80	30	1.89496004268207	-1.622278066	0.9366226780	0.2860513932
--80	25	1.89472886667170	-1.695691639	0.7907139970	0.2989961869
--80	20	1.89452359358526	-1.756323829	0.6392495954	0.3096872779
--80	15	1.89435048135364	-1.803825957	0.4833337085	0.3180631847
--80	10	1.89421989763429	-1.837937937	0.3240780471	0.3240780471
--80	5	1.89413777199298	-1.858476154	0.1625955949	0.3276994890
--80	-2.84217e-14	1.89410580716785	-1.865330084	-5.999359114e-16	0.3289080217
--80	-5	1.89412573407793	-1.858464343	-0.1625945616	0.3276974064
--80	-10	1.89419712246344	-1.837915838	-0.3240741506	0.3240741506
--80	-15	1.89431540672754	-1.803792558	-0.4833247593	0.3180572957
--80	-20	1.89447643968775	-1.756280115	-0.6392336847	0.3096795699
--80	-25	1.89467914641405	-1.695647141	-0.7906932476	0.2989883408
--80	-30	1.89491549483919	-1.622239928	-0.9366006593	0.2860446686
--80	-35	1.89517711257187	-1.536493384	-1.075864250	0.2709252393
--80	-40	1.89545478514251	-1.438935205	-1.207410000	0.2537231001
--80	-45	1.89573936631927	-1.330190727	-1.330190727	0.2345485146
-
--75	45	1.89371598924528	-1.315652727	1.315652727	0.3525280857
--75	40	1.89312098687638	-1.420597203	1.192022589	0.3806478734
--75	35	1.89254460064303	-1.514235638	1.060279208	0.4057382162
--75	30	1.89200584250194	-1.596115092	0.9215174782	0.4276777500
--75	25	1.89151912313868	-1.665880780	0.7768129655	0.4463714098
--75	20	1.89109755341406	-1.723263940	0.6272167801	0.4617471812
--75	15	1.89075178826271	-1.768066816	0.4737520756	0.4737520756
--75	10	1.89049419729881	-1.800153952	0.3174157111	0.4823497976
--75	5	1.89033369756606	-1.819436917	0.1591801043	0.4875166527
--75	-2.84217e-14	1.89027432437069	-1.825864789	-5.872429044e-16	0.4892389956
--75	-5	1.89031897404181	-1.819422746	-0.1591788644	0.4875128555
--75	-10	1.89046686617525	-1.800127926	-0.3174111222	0.4823428242
--75	-15	1.89071155292607	-1.768029192	-0.4737419941	0.4737419941
--75	-20	1.89104700142262	-1.723217875	-0.6272000136	0.4617348379
--75	-25	1.89146713451876	-1.665834993	-0.7767916147	0.4463591412
--75	-30	1.89196030210584	-1.596076674	-0.9214952973	0.4276674558
--75	-35	1.89251083859525	-1.514208624	-1.060260293	0.4057309781
--75	-40	1.89310197304710	-1.420582935	-1.192010617	0.3806440503
--75	-45	1.89371598530866	-1.315652724	-1.315652724	0.3525280850
-
--70	45	1.89085325989160	-1.294839444	1.294839444	0.4712830156
--70	40	1.88982095921866	-1.394497700	1.170122506	0.5075556547
--70	35	1.88883643562610	-1.482745263	1.038229410	0.5396751407
--70	30	1.88792674722909	-1.559360917	0.9002974455	0.5675609584
--70	25	1.88711680039368	-1.624221374	0.7573868655	0.5911682342
--70	20	1.88642418194164	-1.677269713	0.6104762503	0.6104762503
--70	15	1.88586506733261	-1.718495834	0.4604695709	0.6254813312
--70	10	1.88545283783028	-1.747914757	0.3082045317	0.6361889436
--70	5	1.88519837862044	-1.765550475	0.1544656514	0.6426078199
--70	-2.84217e-14	1.88510707343259	-1.771421206	-5.697325128e-16	0.6447445914
--70	-5	1.88518214984687	-1.765535276	-0.1544643217	0.6426022880
--70	-10	1.88542300120639	-1.747887097	-0.3081996544	0.6361788762
--70	-15	1.88582194660095	-1.718456540	-0.4604590421	0.6254670294
--70	-20	1.88637176694786	-1.677223109	-0.6104592880	0.6104592880
--70	-25	1.88706414244237	-1.624176052	-0.7573657314	0.5911517383
--70	-30	1.88788117522370	-1.559323277	-0.9002757135	0.5675472583
--70	-35	1.88880137826277	-1.482717743	-1.038210140	0.5396651242
--70	-40	1.88980172156327	-1.394483505	-1.170110595	0.5075504879
--70	-45	1.89085325951800	-1.294839443	-1.294839443	0.4712830155
-
--65	45	1.88712557147169	-1.267285844	1.267285844	0.5909450939
--65	40	1.88557250029599	-1.360252508	1.141387378	0.6342961617
--65	35	1.88411429676652	-1.441774052	1.009541060	0.6723102818
--65	30	1.88278423418739	-1.511910191	0.8729017555	0.7050153003
--65	25	1.88161472210339	-1.570804201	0.7324780284	0.7324780284
--65	20	1.88062761831793	-1.618636204	0.5891353985	0.7547824579
--65	15	1.87983895867227	-1.655593937	0.4436150583	0.7720161315
--65	10	1.87926299839136	-1.681850427	0.2965556078	0.7842597339
--65	5	1.87891051356519	-1.697543222	0.1485157878	0.7915774046
--65	-2.84217e-14	1.87878710501089	-1.702759383	-5.476491863e-16	0.7940097405
--65	-5	1.87889407922568	-1.697528374	-0.1485144888	0.7915704809
--65	-10	1.87923260587571	-1.681823227	-0.2965508117	0.7842470504
--65	-15	1.87979536323590	-1.655555542	-0.4436047704	0.7719982276
--65	-20	1.88057660448342	-1.618592297	-0.5891194176	0.7547619837
--65	-25	1.88156456107894	-1.570762326	-0.7324585017	0.7324585017
--65	-30	1.88273968139278	-1.511874414	-0.8728810998	0.7049986173
--65	-35	1.88407934614612	-1.441747307	-1.009522332	0.6722978103
--65	-40	1.88555371943724	-1.360238960	-1.141376009	0.6342898439
--65	-45	1.88712557845633	-1.267285848	-1.267285848	0.5909450961
-
--60	45	1.88250590733360	-1.232389402	1.232389402	0.7115203532
--60	40	1.88038358415888	-1.317364652	1.105400194	0.7605808365
--60	35	1.87842471321547	-1.390996868	0.9739864926	0.8030924162
--60	30	1.87666635639986	-1.453659509	0.8392707088	0.8392707088
--60	25	1.87513806153508	-1.505770174	0.7021521635	0.8693568153
--60	20	1.87386472341735	-1.547746182	0.5633335403	0.8935916746
--60	15	1.87285887697031	-1.579962520	0.4233496814	0.9121917864
--60	10	1.87213114480540	-1.602734213	0.2826052846	0.9253390293
--60	5	1.87168896887350	-1.616297495	0.1414077077	0.9331697938
--60	-2.84217e-14	1.87153572385451	-1.620797481	-5.212882279e-16	0.9357678619
--60	-5	1.87167376108237	-1.616284362	-0.1414065587	0.9331622117
--60	-10	1.87210281400824	-1.602709959	-0.2826010080	0.9253250262
--60	-15	1.87281890376407	-1.579928798	-0.4233406456	0.9121723171
--60	-20	1.87381897836109	-1.547708398	-0.5633197882	0.8935698602
--60	-25	1.87509292475397	-1.505733928	-0.7021352619	0.8693358888
--60	-30	1.87662372158445	-1.453626484	-0.8392516419	0.8392516419
--60	-35	1.87839186081117	-1.390972540	-0.9739694582	0.8030783706
--60	-40	1.88036601666027	-1.317352345	-1.105389866	0.7605737308
--60	-45	1.88250592665312	-1.232389415	-1.232389415	0.7115203605
-
--55	45	1.87697593875235	-1.189415766	1.189415766	0.8328378857
--55	40	1.87428075632608	-1.265257289	1.061676925	0.8859426917
--55	35	1.87183812934779	-1.330062240	0.9313196068	0.9313196068
--55	30	1.86968534244064	-1.384525255	0.7993560288	0.9694550205
--55	25	1.86784353339391	-1.429323234	0.6665043700	1.000822903
--55	20	1.86632670434947	-1.465075021	0.5332436985	1.025856573
--55	15	1.86514168227292	-1.492310408	0.3998633686	1.044926997
--55	10	1.86429163959620	-1.511453336	0.2665100033	1.058331020
--55	5	1.86377904145996	-1.522812769	0.1332288540	1.066284980
--55	-2.84217e-14	1.86360351618545	-1.526574630	-4.909838478e-16	1.068919064
--55	-5	1.86376633377514	-1.522802386	-0.1332279456	1.066277710
--55	-10	1.86426762235905	-1.511433865	-0.2665065699	1.058317386
--55	-15	1.86510762021840	-1.492283154	-0.3998560661	1.044907914
--55	-20	1.86628726935588	-1.465044064	-0.5332324312	1.025834897
--55	-25	1.86780264694472	-1.429291947	-0.6664897804	1.000800995
--55	-30	1.86964744930196	-1.384497195	-0.7993398281	0.9694353725
--55	-35	1.87180918321400	-1.330041672	-0.9313052049	0.9313052049
--55	-40	1.87426435732472	-1.265246219	-1.061667636	0.8859349402
--55	-45	1.87697589136528	-1.189415736	-1.189415736	0.8328378647
-
--50	45	1.87053229724102	-1.137508853	1.137508853	0.9544832593
--50	40	1.86731533188086	-1.203298892	1.009687656	1.009687656
--50	35	1.86446036940604	-1.258627911	0.8813007511	1.056114216
--50	30	1.86198984635756	-1.304478313	0.7531409053	1.094587272
--50	25	1.85991282821472	-1.341741614	0.6256643899	1.125854893
--50	20	1.85822580720421	-1.371183657	0.4990700370	1.150559701
--50	15	1.85692306951384	-1.393434301	0.3733695957	1.169230208
--50	10	1.85599703250075	-1.408980837	0.2484413369	1.182275301
--50	5	1.85544217064631	-1.418169731	0.1240737744	1.189985698
--50	-2.84217e-14	1.85525391642398	-1.421206953	-4.570950183e-16	1.192534230
--50	-5	1.85543196794199	-1.418161933	-0.1240730921	1.189979155
--50	-10	1.85597754398788	-1.408966043	-0.2484387282	1.182262887
--50	-15	1.85689585874793	-1.393413882	-0.3733641244	1.169213075
--50	-20	1.85819436696741	-1.371160458	-0.4990615930	1.150540234
--50	-25	1.85987929614875	-1.341717424	-0.6256531099	1.125834596
--50	-30	1.86195895720068	-1.304456673	-0.7531284112	1.094569113
--50	-35	1.86443571195471	-1.258611266	-0.8812890959	1.056100249
--50	-40	1.86730096024360	-1.203289631	-1.009679885	1.009679885
--50	-45	1.87053228366306	-1.137508845	-1.137508845	0.9544832524
-
--45	45	1.86320536619956	-1.075722120	1.075722120	1.075722120
--45	40	1.85957706207809	-1.130846751	0.9488930919	1.130846751
--45	35	1.85643338752921	-1.176398213	0.8237228968	1.176398213
--45	30	1.85376823715935	-1.213576181	0.7006585348	1.213576181
--45	25	1.85156541644364	-1.243405673	0.5798095874	1.243405673
--45	20	1.84980150077214	-1.266727565	0.4610511287	1.266727565
--45	15	1.84845488772368	-1.284207731	0.3441024245	1.284207731
--45	10	1.84750630098332	-1.296346846	0.2285809254	1.296346846
--45	5	1.84694170140161	-1.303493063	0.1140408660	1.303493063
--45	-2.84217e-14	1.84675172320803	-1.305850667	-4.199936068e-16	1.305850667
--45	-5	1.84693424480338	-1.303487800	-0.1140404056	1.303487800
--45	-10	1.84749188775538	-1.296336733	-0.2285791421	1.296336733
--45	-15	1.84843478550462	-1.284193765	-0.3440986823	1.284193765
--45	-20	1.84977769133916	-1.266711261	-0.4610451943	1.266711261
--45	-25	1.85153991037780	-1.243388544	-0.5798016003	1.243388544
--45	-30	1.85374458322710	-1.213560696	-0.7006495945	1.213560696
--45	-35	1.85641366891666	-1.176385718	-0.8237141474	1.176385718
--45	-40	1.85956548282136	-1.130839710	-0.9488871833	1.130839710
--45	-45	1.86320539731529	-1.075722138	-1.075722138	1.075722138
-
-
-### -y patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = 90 + dsigma = 90 + dphi
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--45	-90	1.89734414818178	-1.341624913	-1.341624913	1.643016656e-16
--40	-90	1.89735054491531	-1.219593422	-1.453454842	1.779968819e-16
--35	-90	1.89735011356767	-1.088275317	-1.554218224	1.903368374e-16
--30	-90	1.89734422124684	-0.9486721106	-1.643148295	2.012276300e-16
--25	-90	1.89733306621777	-0.8018476024	-1.719567733	2.105863120e-16
--20	-90	1.89731476580803	-0.6489198681	-1.782892685	2.183413820e-16
--15	-90	1.89729322773267	-0.4910556215	-1.832644529	2.244342256e-16
--10	-90	1.89727595872735	-0.3294585128	-1.868452074	2.288193851e-16
--5	-90	1.89726479856522	-0.1653575227	-1.890045133	2.314637723e-16
--2.84217e-14	-90	1.89725817045565	-6.102047672e-16	-1.897258170	2.323471146e-16
-5	-90	1.89725631809468	0.1653567836	-1.890036685	2.314627377e-16
-10	-90	1.89725948842281	0.3294556527	-1.868435854	2.288173988e-16
-15	-90	1.89726537491498	0.4910484126	-1.832617625	2.244309308e-16
-20	-90	1.89727221028440	0.6489053133	-1.782852696	2.183364847e-16
-25	-90	1.89728453534414	0.8018270924	-1.719523749	2.105809255e-16
-30	-90	1.89730106037143	0.9486505302	-1.643110917	2.012230525e-16
-35	-90	1.89731742311173	1.088256566	-1.554191446	1.903335579e-16
-40	-90	1.89733250656229	1.219581827	-1.453441023	1.779951897e-16
-45	-90	1.89734414593262	1.341624912	-1.341624912	1.643016654e-16
-
--45	-85	1.89694468242707	-1.338783044	-1.338783044	0.1171283393
--40	-85	1.89688218934076	-1.216563206	-1.449843572	0.1268448764
--35	-85	1.89681502332074	-1.085185166	-1.549805032	0.1355903710
--30	-85	1.89674679178056	-0.9456628970	-1.637936184	0.1433008477
--25	-85	1.89667933161317	-0.7990633358	-1.713596854	0.1499202985
--20	-85	1.89661299123967	-0.6464987204	-1.776240636	0.1554009194
--15	-85	1.89655234889630	-0.4891204415	-1.825422339	0.1597037608
--10	-85	1.89650567351612	-0.3281091531	-1.860799475	0.1627988591
--5	-85	1.89647600072908	-0.1646645515	-1.882124436	0.1646645515
--2.84217e-14	-85	1.89646272415049	-6.076278924e-16	-1.889246111	0.1652876173
-5	-85	1.89646650081936	0.1646637266	-1.882115008	0.1646637266
-10	-85	1.89648735999042	0.3281059847	-1.860781506	0.1627972871
-15	-85	1.89652236285192	0.4891127081	-1.825393477	0.1597012357
-20	-85	1.89656905984990	0.6464837455	-1.776199493	0.1553973198
-25	-85	1.89663038248058	0.7990427137	-1.713552629	0.1499164294
-30	-85	1.89670319627565	0.9456411616	-1.637898538	0.1432975540
-35	-85	1.89678217412565	1.085166373	-1.549778193	0.1355880228
-40	-85	1.89686398362341	1.216551530	-1.449829657	0.1268436590
-45	-85	1.89694467920555	1.338783042	-1.338783042	0.1171283391
-
--45	-80	1.89573937000781	-1.330190729	-1.330190729	0.2345485151
--40	-80	1.89547339430508	-1.207421854	-1.438949332	0.2537255911
--35	-80	1.89521033154640	-1.075883108	-1.536520316	0.2709299881
--30	-80	1.89496004282222	-0.9366226781	-1.622278066	0.2860513932
--25	-80	1.89472886677850	-0.7907139970	-1.695691639	0.2989961869
--20	-80	1.89452359365737	-0.6392495954	-1.756323829	0.3096872779
--15	-80	1.89435048138703	-0.4833337085	-1.803825957	0.3180631847
--10	-80	1.89421989762921	-0.3240780471	-1.837937937	0.3240780471
--5	-80	1.89413777195168	-0.1625955949	-1.858476154	0.3276994890
--2.84217e-14	-80	1.89410580709047	-5.999359114e-16	-1.865330084	0.3289080217
-5	-80	1.89412573396685	0.1625945616	-1.858464343	0.3276974064
-10	-80	1.89419712232114	0.3240741505	-1.837915838	0.3240741505
-15	-80	1.89431540655816	0.4833247593	-1.803792558	0.3180572956
-20	-80	1.89447643949640	0.6392336847	-1.756280114	0.3096795698
-25	-80	1.89467914620514	0.7906932475	-1.695647141	0.2989883408
-30	-80	1.89491549461966	0.9366006592	-1.622239928	0.2860446685
-35	-80	1.89517711234885	1.075864250	-1.536493384	0.2709252392
-40	-80	1.89545478492270	1.207410000	-1.438935205	0.2537231001
-45	-80	1.89573936611125	1.330190727	-1.330190727	0.2345485146
-
--45	-75	1.89371598946563	-1.315652727	-1.315652727	0.3525280858
--40	-75	1.89312098708235	-1.192022589	-1.420597203	0.3806478734
--35	-75	1.89254460082546	-1.060279208	-1.514235638	0.4057382163
--30	-75	1.89200584265409	-0.9215174782	-1.596115092	0.4276777500
--25	-75	1.89151912325555	-0.7768129655	-1.665880780	0.4463714098
--20	-75	1.89109755349381	-0.6272167801	-1.723263940	0.4617471812
--15	-75	1.89075178830145	-0.4737520756	-1.768066816	0.4737520756
--10	-75	1.89049419729726	-0.3174157111	-1.800153952	0.4823497976
--5	-75	1.89033369752672	-0.1591801043	-1.819436917	0.4875166527
--2.84217e-14	-75	1.89027432429369	-5.872429044e-16	-1.825864789	0.4892389956
-5	-75	1.89031897392940	0.1591788644	-1.819422746	0.4875128554
-10	-75	1.89046686602905	0.3174111221	-1.800127926	0.4823428241
-15	-75	1.89071155275009	0.4737419940	-1.768029191	0.4737419940
-20	-75	1.89104700122198	0.6272000135	-1.723217875	0.4617348379
-25	-75	1.89146713429846	0.7767916146	-1.665834993	0.4463591412
-30	-75	1.89196030187209	0.9214952972	-1.596076674	0.4276674558
-35	-75	1.89251083835676	1.060260293	-1.514208624	0.4057309780
-40	-75	1.89310197281293	1.192010617	-1.420582935	0.3806440503
-45	-75	1.89371598508834	1.315652724	-1.315652724	0.3525280850
-
--45	-70	1.89085326013058	-1.294839444	-1.294839444	0.4712830157
--40	-70	1.88982095944507	-1.170122506	-1.394497700	0.5075556547
--35	-70	1.88883643582845	-1.038229410	-1.482745263	0.5396751407
--30	-70	1.88792674739875	-0.9002974456	-1.559360918	0.5675609585
--25	-70	1.88711680052459	-0.7573868655	-1.624221375	0.5911682342
--20	-70	1.88642418203161	-0.6104762504	-1.677269713	0.6104762504
--15	-70	1.88586506737958	-0.4604695709	-1.718495834	0.6254813312
--10	-70	1.88545283783495	-0.3082045317	-1.747914757	0.6361889436
--5	-70	1.88519837858407	-0.1544656514	-1.765550475	0.6426078199
--2.84217e-14	-70	1.88510707335633	-5.697325128e-16	-1.771421206	0.6447445914
-5	-70	1.88518214973274	0.1544643217	-1.765535276	0.6426022880
-10	-70	1.88542300105609	0.3081996544	-1.747887097	0.6361788761
-15	-70	1.88582194641732	0.4604590421	-1.718456540	0.6254670294
-20	-70	1.88637176673494	0.6104592880	-1.677223109	0.6104592880
-25	-70	1.88706414220576	0.7573657313	-1.624176052	0.5911517382
-30	-70	1.88788117497008	0.9002757134	-1.559323276	0.5675472582
-35	-70	1.88880137800199	1.038210140	-1.482717742	0.5396651241
-40	-70	1.88980172130736	1.170110594	-1.394483505	0.5075504879
-45	-70	1.89085325927901	1.294839443	-1.294839443	0.4712830155
-
--45	-65	1.88712557173816	-1.267285844	-1.267285844	0.5909450940
--40	-65	1.88557250055237	-1.141387378	-1.360252509	0.6342961617
--35	-65	1.88411429699745	-1.009541060	-1.441774052	0.6723102819
--30	-65	1.88278423438106	-0.8729017556	-1.511910191	0.7050153003
--25	-65	1.88161472225324	-0.7324780285	-1.570804201	0.7324780285
--20	-65	1.88062761842124	-0.5891353985	-1.618636205	0.7547824579
--15	-65	1.87983895872890	-0.4436150583	-1.655593937	0.7720161315
--10	-65	1.87926299840271	-0.2965556078	-1.681850427	0.7842597339
--5	-65	1.87891051353262	-0.1485157878	-1.697543222	0.7915774046
--2.84217e-14	-65	1.87878710493572	-5.476491863e-16	-1.702759383	0.7940097405
-5	-65	1.87889407911004	0.1485144888	-1.697528374	0.7915704808
-10	-65	1.87923260572060	0.2965508117	-1.681823227	0.7842470504
-15	-65	1.87979536304301	0.4436047704	-1.655555542	0.7719982275
-20	-65	1.88057660425636	0.5891194176	-1.618592297	0.7547619836
-25	-65	1.88156456082135	0.7324585016	-1.570762326	0.7324585016
-30	-65	1.88273968111208	0.8728810997	-1.511874414	0.7049986172
-35	-65	1.88407934585422	1.009522332	-1.441747307	0.6722978102
-40	-65	1.88555371914983	1.141376009	-1.360238960	0.6342898438
-45	-65	1.88712557818985	1.267285848	-1.267285848	0.5909450960
-
--45	-60	1.88250590764021	-1.232389403	-1.232389403	0.7115203533
--40	-60	1.88038358445924	-1.105400194	-1.317364652	0.7605808366
--35	-60	1.87842471348640	-0.9739864927	-1.390996868	0.8030924163
--30	-60	1.87666635662495	-0.8392707089	-1.453659509	0.8392707089
--25	-60	1.87513806170802	-0.7021521636	-1.505770174	0.8693568154
--20	-60	1.87386472353700	-0.5633335404	-1.547746182	0.8935916747
--15	-60	1.87285887703840	-0.4233496814	-1.579962520	0.9121917864
--10	-60	1.87213114482398	-0.2826052846	-1.602734213	0.9253390293
--5	-60	1.87168896884466	-0.1414077077	-1.616297495	0.9331697938
--2.84217e-14	-60	1.87153572378029	-5.212882279e-16	-1.620797481	0.9357678619
-5	-60	1.87167376096483	0.1414065587	-1.616284362	0.9331622116
-10	-60	1.87210281384786	0.2826010080	-1.602709959	0.9253250261
-15	-60	1.87281890356107	0.4233406456	-1.579928798	0.9121723170
-20	-60	1.87381897811708	0.5633197881	-1.547708398	0.8935698600
-25	-60	1.87509292447104	0.7021352618	-1.505733928	0.8693358887
-30	-60	1.87662372126886	0.8392516418	-1.453626484	0.8392516418
-35	-60	1.87839186047621	0.9739694580	-1.390972540	0.8030783705
-40	-60	1.88036601632730	1.105389866	-1.317352344	0.7605737306
-45	-60	1.88250592634647	1.232389415	-1.232389415	0.7115203604
-
--45	-55	1.87697593911951	-1.189415767	-1.189415767	0.8328378859
--40	-55	1.87428075669109	-1.061676925	-1.265257289	0.8859426919
--35	-55	1.87183812967256	-0.9313196070	-1.330062240	0.9313196070
--30	-55	1.86968534270490	-0.7993560289	-1.384525255	0.9694550206
--25	-55	1.86784353359309	-0.6665043700	-1.429323234	1.000822903
--20	-55	1.86632670448663	-0.5332436985	-1.465075021	1.025856574
--15	-55	1.86514168235253	-0.3998633686	-1.492310408	1.044926997
--10	-55	1.86429163962171	-0.2665100033	-1.511453336	1.058331020
--5	-55	1.86377904143493	-0.1332288539	-1.522812769	1.066284980
--2.84217e-14	-55	1.86360351611287	-4.909838478e-16	-1.526574630	1.068919064
-5	-55	1.86376633365681	0.1332279456	-1.522802386	1.066277710
-10	-55	1.86426762219476	0.2665065699	-1.511433865	1.058317385
-15	-55	1.86510762000696	0.3998560661	-1.492283154	1.044907914
-20	-55	1.86628726909573	0.5332324311	-1.465044064	1.025834897
-25	-55	1.86780264663507	0.6664897803	-1.429291946	1.000800995
-30	-55	1.86964744894521	0.7993398280	-1.384497195	0.9694353723
-35	-55	1.87180918282144	0.9313052047	-1.330041672	0.9313052047
-40	-55	1.87426435692446	1.061667635	-1.265246219	0.8859349400
-45	-55	1.87697589099788	1.189415736	-1.189415736	0.8328378645
-
--45	-50	1.87053229770867	-1.137508854	-1.137508854	0.9544832595
--40	-50	1.86731533234213	-1.009687656	-1.203298892	1.009687656
--35	-50	1.86446036979570	-0.8813007512	-1.258627911	1.056114216
--30	-50	1.86198984665991	-0.7531409054	-1.304478313	1.094587272
--25	-50	1.85991282843579	-0.6256643899	-1.341741614	1.125854894
--20	-50	1.85822580735457	-0.4990700371	-1.371183658	1.150559701
--15	-50	1.85692306960191	-0.3733695957	-1.393434301	1.169230208
--10	-50	1.85599703253249	-0.2484413369	-1.408980837	1.182275301
--5	-50	1.85544217062644	-0.1240737744	-1.418169731	1.189985698
--2.84217e-14	-50	1.85525391635568	-4.570950183e-16	-1.421206953	1.192534230
-5	-50	1.85543196782665	0.1240730921	-1.418161933	1.189979155
-10	-50	1.85597754382468	0.2484387282	-1.408966042	1.182262887
-15	-50	1.85689585853422	0.3733641244	-1.393413882	1.169213074
-20	-50	1.85819436669889	0.4990615929	-1.371160458	1.150540234
-25	-50	1.85987929581965	0.6256531098	-1.341717424	1.125834595
-30	-50	1.86195895680549	0.7531284110	-1.304456673	1.094569113
-35	-50	1.86443571149406	0.8812890957	-1.258611265	1.056100249
-40	-50	1.86730095974324	1.009679885	-1.203289630	1.009679885
-45	-50	1.87053228319466	1.137508845	-1.137508845	0.9544832521
-
--45	-45	1.86320536686179	-1.075722120	-1.075722120	1.075722120
--40	-45	1.85957706266087	-0.9488930922	-1.130846752	1.130846752
--35	-45	1.85643338797013	-0.8237228970	-1.176398213	1.176398213
--30	-45	1.85376823748092	-0.7006585350	-1.213576181	1.213576181
--25	-45	1.85156541667224	-0.5798095874	-1.243405673	1.243405673
--20	-45	1.84980150092587	-0.4610511287	-1.266727565	1.266727565
--15	-45	1.84845488781456	-0.3441024245	-1.284207731	1.284207731
--10	-45	1.84750630101904	-0.2285809254	-1.296346846	1.296346846
--5	-45	1.84694170138697	-0.1140408660	-1.303493063	1.303493063
--2.84217e-14	-45	1.84675172314600	-4.199936068e-16	-1.305850667	1.305850667
-5	-45	1.84693424469494	0.1140404056	-1.303487800	1.303487800
-10	-45	1.84749188759955	0.2285791421	-1.296336733	1.296336733
-15	-45	1.84843478529821	0.3440986823	-1.284193765	1.284193765
-20	-45	1.84977769107615	0.4610451943	-1.266711261	1.266711261
-25	-45	1.85153991004829	0.5798016002	-1.243388544	1.243388544
-30	-45	1.85374458281638	0.7006495943	-1.213560696	1.213560696
-35	-45	1.85641366840446	0.8237141471	-1.176385717	1.176385717
-40	-45	1.85956548219623	0.9488871830	-1.130839709	1.130839709
-45	-45	1.86320539665253	1.075722137	-1.075722137	1.075722137
-
-
diff --git a/test/checkpoint/h.t1.ah1.gp b/test/checkpoint/h.t1.ah1.gp
deleted file mode 100644
index ba7b81e..0000000
--- a/test/checkpoint/h.t1.ah1.gp
+++ /dev/null
@@ -1,1228 +0,0 @@
-# N_patches = 5
-# origin = 0.4 0.6 0
-
-### +z patch
-# N_rho = 19
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = dsigma = dnu
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--45	-45	2.36776284322860	-0.9670285149	-0.7670285149	1.367028515
--40	-45	2.35123317080507	-0.7997722271	-0.8298328620	1.429832862
--35	-45	2.33200318174103	-0.6347392096	-0.8777607397	1.477760740
--30	-45	2.31071660388469	-0.4733687835	-0.9127191067	1.512719107
--25	-45	2.28783044064847	-0.3164240658	-0.9363763672	1.536376367
--20	-45	2.26365336160659	-0.1642010436	-0.9501296275	1.550129627
--15	-45	2.23837879177024	-0.01668940597	-0.9551060341	1.555106034
--10	-45	2.21210987716427	0.1263088507	-0.9521796390	1.552179639
--5	-45	2.18487840589504	0.2650929668	-0.9419944457	1.541994446
-0	-45	2.15666261517611	0.4000000000	-0.9249907599	1.524990760
-5	-45	2.12739674115948	0.5313577827	-0.9014263264	1.501426326
-10	-45	2.09697665104529	0.6594464025	-0.8713936658	1.471393666
-15	-45	2.06526986196958	0.7844640036	-0.8348391953	1.434839195
-20	-45	2.03211887845832	0.9064925626	-0.7915768790	1.391576879
-25	-45	1.99734720107051	1.025460514	-0.7413044001	1.341304400
-30	-45	1.96076772232280	1.141100539	-0.6836237868	1.283623787
-35	-45	1.92219423375338	1.252901813	-0.6180700245	1.218070025
-40	-45	1.88145449225001	1.360056567	-0.5441508629	1.144150863
-45	-45	1.83842021596853	1.461412407	-0.4614124066	1.061412407
-
--45	-40	2.32681458902675	-1.014983424	-0.5873120694	1.414983424
--40	-40	2.30880014501609	-0.8484056480	-0.6484056480	1.487791916
--35	-40	2.28800831049376	-0.6815051237	-0.6960308207	1.544549387
--30	-40	2.26506679411321	-0.5161781732	-0.7315396359	1.586867145
--25	-40	2.24044385445972	-0.3536729227	-0.7562004836	1.616256799
--20	-40	2.21447409047710	-0.1947488524	-0.7711383397	1.634059042
--15	-40	2.18738413813429	-0.03981506002	-0.7773083296	1.641412150
--10	-40	2.15931445414205	0.1109569895	-0.7754893468	1.639244371
--5	-40	2.13033600847752	0.2575440219	-0.7662885442	1.628279281
-0	-40	2.10046939765764	0.4000000000	-0.7501557033	1.609052910
-5	-40	2.06969400024647	0.5384008354	-0.7273958621	1.581928787
-10	-40	2.03795599531654	0.6727981258	-0.6981836691	1.547115052
-15	-40	2.00517935575506	0.8031793334	-0.6625812636	1.504685757
-20	-40	1.97127132789388	0.9294310577	-0.6205542197	1.454599876
-25	-40	1.93613243710467	1.051304245	-0.5719926577	1.396726460
-30	-40	1.89966397392058	1.168379402	-0.5167343421	1.330872164
-35	-40	1.86178062385760	1.280034078	-0.4545962875	1.256818914
-40	-40	1.82242572948008	1.385415121	-0.3854151208	1.174372010
-45	-40	1.78158995888117	1.483421203	-0.3090983316	1.083421203
-
--45	-35	2.28514853434903	-1.048069546	-0.4139492119	1.448069546
--40	-35	2.26520179385313	-0.8831121839	-0.4707248462	1.529153555
--35	-35	2.24251084302018	-0.7157451511	-0.5157451511	1.593449214
--30	-35	2.21768297438069	-0.5481372161	-0.5498961053	1.642221831
--25	-35	2.19119152170573	-0.3818849376	-0.5740783532	1.676757660
--20	-35	2.16339263410559	-0.2181208717	-0.5891436529	1.698273138
--15	-35	2.13454205429017	-0.05761948507	-0.5958558642	1.707859169
--10	-35	2.10481529437459	0.09910591288	-0.5948727708	1.706455166
--5	-35	2.07432256892602	0.2517208250	-0.5867388515	1.694838725
-0	-35	2.04312687289314	0.4000000000	-0.5718894308	1.673631555
-5	-35	2.01125170674893	0.5437706691	-0.5506554363	1.643306268
-10	-35	1.97869235971830	0.6828641700	-0.5232746307	1.604202425
-15	-35	1.94542480434144	0.8170750796	-0.4899048140	1.556545388
-20	-35	1.91141523523661	0.9461263170	-0.4506402117	1.500469724
-25	-35	1.87662604581839	1.069638242	-0.4055287251	1.436043845
-30	-35	1.84102881980738	1.187104361	-0.3545962584	1.363304744
-35	-35	1.80460936064692	1.297870416	-0.2978704162	1.282291845
-40	-35	1.76738484091388	1.401126270	-0.2354146933	1.193095829
-45	-35	1.72941209862656	1.495906439	-0.1673619496	1.095906439
-
--45	-30	2.24329273989873	-1.068579827	-0.2478849582	1.468579827
--40	-30	2.22105686438675	-0.9056680077	-0.2983769599	1.556034539
--35	-30	2.19619437975048	-0.7387540027	-0.3389500885	1.626309259
--30	-30	2.16929561716117	-0.5701384927	-0.3701384927	1.680329160
--25	-30	2.14083749752116	-0.4016442690	-0.3925411398	1.719131683
--20	-30	2.11119592780155	-0.2346816083	-0.4067680346	1.743773387
--15	-30	2.08065585140216	-0.07032107039	-0.4134010636	1.755262131
--10	-30	2.04942624845977	0.09063134818	-0.4129707529	1.754516811
--5	-30	2.01765518978218	0.2475644191	-0.4059443149	1.742346663
-0	-30	1.98544503701192	0.4000000000	-0.3927225185	1.719445840
-5	-30	1.95286025400088	0.5475402679	-0.3736394406	1.686392979
-10	-30	1.91993854897948	0.6898219933	-0.3489688146	1.643662202
-15	-30	1.88669880014133	0.8264781216	-0.3189326382	1.591638018
-20	-30	1.85315269816921	0.9571069551	-0.2837147112	1.530638779
-25	-30	1.81930788270865	1.081246353	-0.2434726698	1.460937519
-30	-30	1.78518149639447	1.198357436	-0.1983574356	1.382795641
-35	-30	1.75080017568931	1.307811588	-0.1485284523	1.296489310
-40	-30	1.71621807155397	1.408894039	-0.09417888322	1.202353095
-45	-30	1.68151395960217	1.500809286	-0.03555253760	1.100809286
-
--45	-25	2.20155734295790	-1.078440278	-0.08940802375	1.478440278
--40	-25	2.17677659016030	-0.9176609886	-0.1322556071	1.570327217
--35	-25	2.14955253010701	-0.7517674606	-0.1670268570	1.644894403
--30	-25	2.12046450733325	-0.5830957564	-0.1940155299	1.702771799
--25	-25	2.08999631869184	-0.4135971541	-0.2135971541	1.744764727
--20	-25	2.05854308808386	-0.2448701437	-0.2261881281	1.771766158
--15	-25	2.02641714707643	-0.07820541050	-0.2322131635	1.784686888
--10	-25	1.99385931597809	0.08536061117	-0.2320834167	1.784408646
--5	-25	1.96105229419810	0.2449914329	-0.2261834047	1.771756029
-0	-25	1.92813309499476	0.4000000000	-0.2148642570	1.747482038
-5	-25	1.89520062433400	0.5498034162	-0.1984403624	1.712260883
-10	-25	1.86232489350401	0.6938827036	-0.1771910726	1.666691634
-15	-25	1.82955687881358	0.8317492080	-0.1513661835	1.611309980
-20	-25	1.79693780696068	0.9629182836	-0.1211938830	1.546605273
-25	-25	1.76450105964264	1.086887832	-0.08688783211	1.473035710
-30	-25	1.73228610725334	1.203127388	-0.04866073759	1.391057441
-35	-25	1.70033366548993	1.311068216	-0.006731665781	1.301140256
-40	-25	1.66870377464799	1.410110948	0.03865727834	1.203803351
-45	-25	1.63746990516492	1.499631345	0.08723348275	1.099631345
-
--45	-20	2.16009891883589	-1.079216469	0.06160923529	1.479216469
--40	-20	2.13261566930378	-0.9204539717	0.02723614271	1.573655765
--35	-20	2.10292699881589	-0.7559077413	-0.0008447330548	1.650807337
--30	-20	2.07160810524367	-0.5878897515	-0.02278045664	1.711075242
--25	-20	2.03915168181785	-0.4184054639	-0.03879548880	1.755076181
--20	-20	2.00597151585090	-0.2491636298	-0.04916362978	1.783562414
--15	-20	1.97240433101687	-0.08159976639	-0.05418364655	1.797354797
--10	-20	1.93871928628262	0.08308829705	-0.05416209306	1.797295579
--5	-20	1.90512794403236	0.2439013993	-0.04940121351	1.784215170
-0	-20	1.87179427667917	0.4000000000	-0.04019134679	1.758911269
-5	-20	1.83884259353566	0.5506674429	-0.02680651735	1.722136753
-10	-20	1.80636479183404	0.6952764469	-0.009503078356	1.674595945
-15	-20	1.77443143190407	0.8332609443	0.01147765373	1.616951857
-20	-20	1.74309665028294	0.9640932285	0.03590677155	1.549833408
-25	-20	1.71240341764734	1.087266340	0.06356340828	1.473847423
-30	-20	1.68239107711584	1.202283453	0.09422852682	1.389595702
-35	-20	1.65309635741261	1.308651074	0.1276801144	1.297688221
-40	-20	1.62456650257204	1.405884615	0.1636846386	1.198766603
-45	-20	1.59685070981634	1.493509120	0.2019952293	1.093509120
-
--45	-15	2.11896890442211	-1.072146422	0.2055395551	1.472146422
--40	-15	2.08871220945392	-0.9151785615	0.1800248023	1.567368776
--35	-15	2.05654012732802	-0.7521560638	0.1591031659	1.645449386
--30	-15	2.02302656038672	-0.5853322291	0.1427057210	1.706645483
--25	-15	1.98867348266792	-0.4167125177	0.1307015535	1.751445646
--20	-15	1.95390987594342	-0.2480496253	0.1229160041	1.780501712
--15	-15	1.91909189963550	-0.08085305343	0.1191469466	1.794568026
--10	-15	1.88450934283285	0.08358915148	0.1191772070	1.794455093
--5	-15	1.85039412651943	0.2441831036	0.1227837541	1.780995276
-0	-15	1.81692852094204	0.4000000000	0.1297442952	1.755018183
-5	-15	1.78425131052918	0.5502471812	0.1398419721	1.717333140
-10	-15	1.75246487842834	0.6942404617	0.1528676679	1.668720581
-15	-15	1.72164627760286	0.8313805241	0.1686194759	1.609934033
-20	-15	1.69184996447184	0.9611327058	0.1869028805	1.541699438
-25	-15	1.66311360361346	1.083010917	0.2075290200	1.464721638
-30	-15	1.63546478545984	1.196566982	0.2303119769	1.379694485
-35	-15	1.60892408935143	1.301383650	0.2550665227	1.287309263
-40	-15	1.58351374906513	1.397075291	0.2816045328	1.188268060
-45	-15	1.55925077691524	1.483284161	0.3097348838	1.083284161
-
--45	-10	2.07813660691597	-1.058174100	0.3428845637	1.458174100
--40	-10	2.04511757619935	-0.9027456162	0.3262432343	1.552551768
--35	-10	2.01052295779850	-0.7413443943	0.3125854836	1.630008722
--30	-10	1.97492718480833	-0.5761480702	0.3018772639	1.690738053
--25	-10	1.93883834609864	-0.4091218987	0.2940431517	1.735167511
--20	-10	1.90269351932208	-0.2420062893	0.2889772296	1.763897783
--15	-10	1.86685972732996	-0.07631958503	0.2865525381	1.777648892
--10	-10	1.83163715432320	0.08662910112	0.2866291011	1.777214682
--5	-10	1.79726688625093	0.2457199455	0.2890598725	1.763429092
-0	-10	1.76393837602554	0.4000000000	0.2936953155	1.737140189
-5	-10	1.73179381524684	0.5486597490	0.3003871858	1.699188706
-10	-10	1.70093451975263	0.6910092636	0.3089907364	1.650395546
-15	-10	1.67143297393905	0.8264574616	0.3193648694	1.591560914
-20	-10	1.64333476549482	0.9544935347	0.3313731685	1.523458466
-25	-10	1.61666341468763	1.074670879	0.3448837114	1.446836370
-30	-10	1.59142929323601	1.186596410	0.3597677227	1.362424947
-35	-10	1.56762955076003	1.289920303	0.3758993562	1.270937907
-40	-10	1.54525809219323	1.384333727	0.3931537715	1.173083255
-45	-10	1.52430200389375	1.469562845	0.4114072128	1.069562845
-
--45	-5	2.03752269933608	-1.037997042	0.4741915606	1.437997042
--40	-5	2.00182461519445	-0.8838679102	0.4661376034	1.530054194
--35	-5	1.96494261964165	-0.7241615854	0.4595396517	1.605469127
--30	-5	1.92744918348633	-0.5609702184	0.4543795602	1.664449243
--25	-5	1.88985100298314	-0.3961865885	0.4506194369	1.707427649
--20	-5	1.85258239237344	-0.2314900044	0.4482067727	1.735004528
--15	-5	1.81600900861506	-0.06834833142	0.4470785853	1.747899769
--10	-5	1.78042830519453	0.09197306843	0.4471653943	1.746907537
--5	-5	1.74607699155634	0.2483940822	0.4483940822	1.732863570
-0	-5	1.71313893601242	0.4000000000	0.4506901036	1.706619925
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-10	-5	1.65199775783053	0.6858075210	0.4581900629	1.620894998
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-25	-5	1.57303836298262	1.062714704	0.4756614378	1.421196269
-30	-5	1.55017871042601	1.172874111	0.4828826682	1.338657228
-35	-5	1.52902117077451	1.274766951	0.4907007034	1.249296677
-40	-5	1.50953418483443	1.368138010	0.4990571591	1.153781952
-45	-5	1.49168046735088	1.452764762	0.5078950180	1.052764762
-
--45	0	1.99701631986659	-1.012103782	0.6000000000	1.412103782
--40	0	1.95878897824810	-0.8590852852	0.6000000000	1.500519412
--35	0	1.91982406016135	-0.7011658428	0.6000000000	1.572627804
--30	0	1.88068413846178	-0.5403420692	0.6000000000	1.628720240
--25	0	1.84186188495579	-0.3784044682	0.6000000000	1.669293769
--20	0	1.80377582995863	-0.2169276679	0.6000000000	1.694994837
--15	0	1.76677460789804	-0.05727491693	0.6000000000	1.706573223
--10	0	1.73113702496985	0.09939121032	0.6000000000	1.704837164
--5	0	1.69708059639779	0.2520896801	0.6000000000	1.690622692
-0	0	1.66477064605598	0.4000000000	0.6000000000	1.664770646
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-45	0	1.46110441553003	1.433156840	0.6000000000	1.033156840
-
--45	5	1.95648475228873	-0.9808038987	0.7208046877	1.380803899
--40	5	1.91594119762023	-0.8287866793	0.7281193560	1.464410940
--35	5	1.87516230802671	-0.6727974506	0.7340425661	1.532113541
--30	5	1.83468779718443	-0.5147220836	0.7386122374	1.584345124
--25	5	1.79498002935751	-0.3562178308	0.7418816230	1.621714372
--20	5	1.75642482740527	-0.1987127625	0.7439144592	1.644949796
--15	5	1.71933485216272	-0.04341608734	0.7447807344	1.654851367
--10	5	1.68395443019486	0.1086637443	0.7445531452	1.652250011
--5	5	1.65046696758018	0.2566955749	0.7433044251	1.637977074
-0	5	1.61900684532853	0.4000000000	0.7411057441	1.612846035
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-45	5	1.43233990102229	1.410884709	0.6884409522	1.010884709
-
--45	10	1.91578519666576	-0.9442563616	0.8370286655	1.344256362
--40	10	1.87320201216978	-0.7932349210	0.8507443730	1.422042004
--35	10	1.83093927072997	-0.6393973692	0.8617421120	1.484413281
--30	10	1.78949715117000	-0.4844954913	0.8701313704	1.531991130
--25	10	1.74928859714938	-0.3300184226	0.8760451004	1.565529559
--20	10	1.71064508014887	-0.1772053613	0.8796296758	1.585858697
--15	10	1.67382539240086	-0.02706787481	0.8810368199	1.593839007
--10	10	1.63902138145338	0.1195833234	0.8804166766	1.590322000
--5	10	1.60636950619329	0.2621068597	0.8779135046	1.576125806
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-45	10	1.40519530447801	1.385988790	0.7738564263	0.9859887897
-
--45	15	1.87476952296353	-0.9024897343	0.9490010724	1.302489734
--40	15	1.83048912089035	-0.7525858076	0.9680545491	1.373598277
--35	15	1.78713357030980	-0.6012237313	0.9831393917	1.429895676
--30	15	1.74514144571812	-0.4499859292	0.9944798426	1.472218815
--25	15	1.70485485037454	-0.3001532978	1.002321316	1.501483593
--20	15	1.66652808168291	-0.1527342444	1.006914304	1.518624855
--15	15	1.63034727228557	-0.008504389068	1.008504389	1.524559135
--10	15	1.59643783521013	0.1319566220	1.007322841	1.520149536
--5	15	1.56487715157147	0.2682257485	1.003581480	1.506186587
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-45	15	1.37952434010517	1.358419832	0.8568078200	0.9584198319
-
--45	20	1.83329454672132	-0.8554237504	1.056936877	1.255423750
--40	20	1.78772796100550	-0.7069094729	1.080136190	1.319163341
--35	20	1.74373122330337	-0.5584699901	1.098215926	1.368837006
--30	20	1.70165247640292	-0.4114686546	1.111561962	1.405504939
--25	20	1.66173788823932	-0.2669319303	1.120564839	1.430240140
--20	20	1.62414722633832	-0.1255993420	1.125599342	1.444072324
--15	20	1.58897550027421	0.01202162371	1.127012525	1.447955013
--10	20	1.55626952183785	0.1456052416	1.125116006	1.442744368
--5	20	1.52604017927777	0.2749623419	1.120181517	1.429186972
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-20	20	1.41132778070020	0.8567276543	1.056727654	1.254848917
-25	20	1.39547871073770	0.9600698623	1.037155074	1.201073696
-30	20	1.38194723021529	1.059010506	1.015450067	1.141439679
-35	20	1.37072684812369	1.153442119	0.9916417487	1.076026861
-40	20	1.36181825710249	1.243198497	0.9657481698	1.004884838
-45	20	1.35522535264618	1.328046231	0.9377812042	0.9280462312
-
--45	25	1.79122920969372	-0.8028873194	1.160915569	1.202887319
--40	25	1.74486156823052	-0.6562112940	1.186961782	1.258743604
--35	25	1.70073459570710	-0.5112830410	1.206874730	1.301447059
--30	25	1.65907357290049	-0.3691843855	1.221246042	1.332266436
--25	25	1.62000342305464	-0.2306375580	1.230637558	1.352406607
--20	25	1.58357132913314	-0.09607796726	1.235560091	1.362963013
--15	25	1.54977010503321	0.03427646162	1.236462776	1.364898827
--10	25	1.51856086404652	0.1603647066	1.233730425	1.359039283
--5	25	1.48988400793741	0.2822342546	1.227682110	1.346068629
-0	25	1.46367332460392	0.4000000000	1.218575076	1.326538532
-5	25	1.43986410313946	0.5138119937	1.206608927	1.300877041
-10	25	1.41840035228847	0.6238295432	1.191931137	1.269400419
-15	25	1.39923802776232	0.7302001251	1.174641952	1.232323644
-20	25	1.38234939775433	0.8330421160	1.154800464	1.189773436
-25	25	1.36772318975516	0.9324294999	1.132429500	1.141798747
-30	25	1.35536780648048	1.028379459	1.107522330	1.088385149
-35	25	1.34530740762579	1.120839000	1.080047311	1.029464781
-40	25	1.33758214476359	1.209674185	1.049955237	0.9649321186
-45	25	1.33224466508749	1.294659492	1.017186572	0.8946594915
-
--45	30	1.74846528183607	-0.7446392149	1.260857759	1.144639215
--40	30	1.70186164318278	-0.6004544848	1.288371970	1.192295227
--35	30	1.65816968557981	-0.4597815312	1.308925670	1.227895280
--30	30	1.61746217534064	-0.3233510750	1.323351075	1.252880814
--25	30	1.57971898379144	-0.1915314317	1.332393786	1.268543249
--20	30	1.54486139796023	-0.06442639630	1.336699542	1.276001037
--15	30	1.51277525529221	0.05804528565	1.336810007	1.276192368
--10	30	1.48333346254873	0.1760851976	1.333167839	1.269883948
--5	30	1.45640783023531	0.2899671387	1.326122672	1.257681360
-0	30	1.43188009714691	0.4000000000	1.315940049	1.240044539
-5	30	1.40964884737140	0.5065001800	1.302810000	1.217302628
-10	30	1.38963538136471	0.6097707223	1.286855650	1.189668884
-15	30	1.37178404435082	0.7100844090	1.268139043	1.157250769
-20	30	1.35606861441762	0.8076702677	1.246669746	1.120064855
-25	30	1.34248988544337	0.9027001462	1.222408960	1.078043942
-30	30	1.33107979428640	0.9952769807	1.195276981	1.031049975
-35	30	1.32189622246407	1.085419573	1.165156976	0.9788805973
-40	30	1.31502617841969	1.173049821	1.131904086	0.9212849009
-45	30	1.31058138488577	1.257976914	1.095353202	0.8579769144
-
--45	35	1.70493029394494	-0.6803926307	1.356499064	1.080392631
--40	35	1.65873950908858	-0.5395846674	1.384059774	1.119753403
--35	35	1.61610114787805	-0.4040795099	1.404079510	1.148344549
--30	35	1.57690438680864	-0.2741819063	1.417644467	1.167717315
--25	35	1.54096940087747	-0.1498655649	1.425678084	1.179190509
--20	35	1.50808510866402	-0.03088751775	1.428943303	1.183853725
--15	35	1.47803223469289	0.08312812165	1.428052796	1.182581949
--10	35	1.45060054527077	0.1926292497	1.423484653	1.176057966
--5	35	1.42560000658743	0.2980935772	1.415598760	1.164795743
-0	35	1.40286684177041	0.4000000000	1.404651364	1.149161241
-5	35	1.38226821164365	0.4988089283	1.390808245	1.129391219
-10	35	1.36370578755622	0.5949487013	1.374155774	1.105609025
-15	35	1.34711578097870	0.6888050056	1.354708160	1.077834955
-20	35	1.33247237660823	0.7807117460	1.332414932	1.045996925
-25	35	1.31978727222616	0.8709409373	1.307164870	1.009936099
-30	35	1.30911339078577	0.9596918677	1.278791517	0.9694147514
-35	35	1.30054352933094	1.047076085	1.247076085	0.9241204209
-40	35	1.29421196094080	1.133099868	1.211753402	0.8736744012
-45	35	1.29029346099474	1.217642546	1.172519474	0.8176425462
-
--45	40	1.66060717561310	-0.6098491039	1.447364011	1.009849104
--40	40	1.61556025262258	-0.4735596056	1.473559606	1.041067798
--35	40	1.57463419171778	-0.3443045283	1.491943633	1.062977029
--30	40	1.53751230714966	-0.2218956635	1.503840268	1.077154886
--25	40	1.50385079172389	-0.1058870899	1.510321036	1.084878365
--20	40	1.47330934525623	0.004308288773	1.512230555	1.087154042
--15	40	1.44557335800470	0.1093400642	1.510219743	1.084757648
--10	40	1.42036164325776	0.2098722469	1.504774339	1.078268070
--5	40	1.39743372939778	0.3065533381	1.496242512	1.068100234
-0	40	1.37658958130456	0.4000000000	1.484854726	1.054528799
-5	40	1.35767223661855	0.4907878033	1.470741524	1.037709340
-10	40	1.34056803774547	0.5794466854	1.453945590	1.017692724
-15	40	1.32520550681076	0.6664576968	1.434428920	0.9944336626
-20	40	1.31155793122563	0.7522495828	1.412078756	0.9677977747
-25	40	1.29964434656580	0.8371931710	1.386709423	0.9375637808
-30	40	1.28953276967103	0.9215924670	1.358063294	0.9034246538
-35	40	1.28134522202118	1.005671499	1.325811568	0.8649885439
-40	40	1.27525780846792	1.089552560	1.289552560	0.8217767408
-45	40	1.27150722948845	1.173229488	1.248816578	0.7732294881
-
--45	45	1.61555461303743	-0.5327408907	1.532740891	0.9327408907
--40	45	1.57245670079794	-0.4023831500	1.556243002	0.9562430017
--35	45	1.53392757670121	-0.2806230029	1.572030385	0.9720303849
--30	45	1.49943641606069	-0.1667336948	1.581611554	0.9816115538
--25	45	1.46848223797545	-0.05984877061	1.586148871	0.9861488710
--20	45	1.44061292910737	0.04093649148	1.586518882	0.9865188818
--15	45	1.41543584395835	0.1365070098	1.583369227	0.9833692268
--10	45	1.39261689451273	0.2276998253	1.577162848	0.9771628484
--5	45	1.37187968908567	0.3152922111	1.568214458	0.9682144576
-0	45	1.35300102720922	0.4000000000	1.556716201	0.9567162013
-5	45	1.33580792528684	0.4824805095	1.542756538	0.9427565377
-10	45	1.32017593231380	0.5633374869	1.526332920	0.9263329201
-15	45	1.30602705365100	0.6431258012	1.507357843	0.9073578428
-20	45	1.29333144371239	0.7223545454	1.485661835	0.8856618345
-25	45	1.28210886171757	0.8014867655	1.460991147	0.8609911470
-30	45	1.27243371085411	0.8809347370	1.433003400	0.8330033995
-35	45	1.26444353141710	0.9610495348	1.401261775	0.8012617748
-40	45	1.25834600685625	1.042100754	1.365225880	0.7652258801
-45	45	1.25442903820810	1.124244943	1.324244943	0.7242449429
-
-
-### +x patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = drho = dnu
-# dpy = dsigma = dphi
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-45	1.83842029120844	1.461412450	-0.4614124500	1.061412450
-45	-40	1.78159008138175	1.483421277	-0.3090983941	1.083421277
-45	-35	1.72941218053218	1.495906491	-0.1673619860	1.095906491
-45	-30	1.68151401771106	1.500809324	-0.03555255956	1.100809324
-45	-25	1.63746997098682	1.499631389	0.08723346214	1.099631389
-45	-20	1.59685074638267	1.493509145	0.2019952202	1.093509145
-45	-15	1.55925080550436	1.483284181	0.3097348785	1.083284181
-45	-10	1.52430201583786	1.469562854	0.4114072113	1.069562854
-45	-5	1.49168047657391	1.452764769	0.5078950174	1.052764769
-45	0	1.46110442045031	1.433156844	0.6000000000	1.033156844
-45	5	1.43233990268491	1.410884710	0.6884409523	1.010884710
-45	10	1.40519530759816	1.385988792	0.7738564267	0.9859887919
-45	15	1.37952433968895	1.358419832	0.8568078199	0.9584198317
-45	20	1.35522536091944	1.328046237	0.9377812062	0.9280462369
-45	25	1.33224468269602	1.294659503	1.017186578	0.8946595033
-45	30	1.31058141592366	1.257976935	1.095353214	0.8579769347
-45	35	1.29029347488599	1.217642555	1.172519481	0.8176425551
-45	40	1.27150726824787	1.173229512	1.248816598	0.7732295116
-45	45	1.25442903331211	1.124244940	1.324244940	0.7242449401
-
-50	-45	1.85250335417775	1.526545085	-0.5265450852	0.9452835655
-50	-40	1.79303615340188	1.555433354	-0.3695237008	0.9695237008
-50	-35	1.73775213431841	1.573091890	-0.2214077844	0.9843409722
-50	-30	1.68649565453123	1.581530077	-0.08215670807	0.9914214519
-50	-25	1.63901467245789	1.582385625	0.04864452813	0.9921393419
-50	-20	1.59501217145492	1.576958481	0.1716221460	0.9875854271
-50	-15	1.55418058899059	1.566256469	0.2875025209	0.9786053732
-50	-10	1.51622164251803	1.551040224	0.3970405527	0.9658374271
-50	-5	1.48086367109177	1.531868224	0.5009743618	0.9497502090
-50	0	1.44786334689967	1.509127671	0.6000000000	0.9306686199
-50	5	1.41701738180731	1.483068603	0.6947562245	0.9088024650
-50	10	1.38815962866105	1.453821898	0.7858172335	0.8842615661
-50	15	1.36116626567802	1.421418601	0.8736882893	0.8570719715
-50	20	1.33595648606812	1.385801453	0.9588023858	0.8271856356
-50	25	1.31249683987194	1.346835573	1.041516679	0.7944893800
-50	30	1.29080448036594	1.304315593	1.122106851	0.7588108802
-50	35	1.27095179759616	1.257972329	1.200758693	0.7199242650
-50	40	1.25307138978780	1.207479802	1.277556004	0.6775560041
-50	45	1.23736223292653	1.152465219	1.352465219	0.6313932877
-
-55	-45	1.86467296414672	1.581619528	-0.5816195280	0.8273789008
-55	-40	1.80318404651597	1.617262542	-0.4214045504	0.8523364082
-55	-35	1.74536971736236	1.640198241	-0.2683961574	0.8683961574
-55	-30	1.69126588460062	1.652403427	-0.1230754558	0.8769423205
-55	-25	1.64078717119200	1.655573705	0.01451636595	0.8791621731
-55	-20	1.59377523667003	1.651120869	0.1446292443	0.8760442635
-55	-15	1.55003194307301	1.640189323	0.2676922724	0.8683899130
-55	-10	1.50934497772892	1.623684350	0.3842314333	0.8568330059
-55	-5	1.47150764127625	1.602304874	0.4948119534	0.8418629360
-55	0	1.43632602364929	1.576569399	0.6000000000	0.8238427621
-55	5	1.40363491357982	1.546849021	0.7003362881	0.8030323298
-55	10	1.37329612092894	1.513384279	0.7963196884	0.7796000654
-55	15	1.34520875720324	1.476309134	0.8883961633	0.7536397691
-55	20	1.31930951161168	1.435664016	0.9769508746	0.7251797511
-55	25	1.29557662223525	1.391409470	1.062301828	0.6941923843
-55	30	1.27403216074261	1.343436664	1.144693412	0.6606014640
-55	35	1.25474500840118	1.291577605	1.224289360	0.6242893600
-55	40	1.23783350860985	1.235615403	1.301164577	0.5851042043
-55	45	1.22346834259051	1.175296319	1.375296319	0.5428683270
-
-60	-45	1.87497632227586	1.627460132	-0.6274601319	0.7086744376
-60	-40	1.81196896662139	1.669434538	-0.4651820530	0.7329083725
-60	-35	1.75213444533734	1.697477354	-0.3085034236	0.7490988993
-60	-30	1.69566671263497	1.713457788	-0.1583252073	0.7583252073
-60	-25	1.64262979767402	1.719061784	-0.01508861134	0.7615606759
-60	-20	1.59299984853800	1.715761699	0.1211019060	0.7596553714
-60	-15	1.54669112784448	1.704804138	0.2503787850	0.7533290202
-60	-10	1.50358413024691	1.687220574	0.3730282826	0.7431771451
-60	-5	1.46354593024768	1.663845468	0.4894278491	0.7296815212
-60	0	1.42643890135679	1.635332326	0.6000000000	0.7132194507
-60	5	1.39214093016610	1.602183662	0.7051774419	0.6940810607
-60	10	1.36054390741866	1.564763630	0.8053792542	0.6724765955
-60	15	1.33156787745209	1.523324008	0.9009937607	0.6485514182
-60	20	1.30516044770368	1.478016505	0.9923659198	0.6223931192
-60	25	1.28130364818600	1.428910274	1.079788740	0.5940416238
-60	30	1.26001385607674	1.376002536	1.163495327	0.5634953270
-60	35	1.24134372502746	1.319230471	1.243652105	0.5307179598
-60	40	1.22538385058234	1.258483016	1.320352782	0.4956454002
-60	45	1.21226352140963	1.193612764	1.393612764	0.4581925430
-
-65	-45	1.88349316394613	1.664846526	-0.6648465259	0.5898076214
-65	-40	1.81936882104654	1.712493156	-0.5013125234	0.6120256101
-65	-35	1.75795556414487	1.745234056	-0.3419430265	0.6272929422
-65	-30	1.69956947190294	1.764785384	-0.1879592088	0.6364098763
-65	-25	1.64440447282701	1.772777022	-0.04013643816	0.6401364382
-65	-20	1.59255768273669	1.770697472	0.1011069199	0.6391667284
-65	-15	1.54405095466150	1.759861911	0.2356260992	0.6341140231
-65	-10	1.49885820913940	1.741406350	0.3634738684	0.6255080536
-65	-5	1.45692000144122	1.716286569	0.4848398472	0.6137945076
-65	0	1.41815751651685	1.685287200	0.6000000000	0.5993392645
-65	5	1.38249342778641	1.649044237	0.7092772109	0.5824388929
-65	10	1.34984999422347	1.608051130	0.8130120083	0.5633234934
-65	15	1.32016549054894	1.562683629	0.9115401393	0.5421682800
-65	20	1.29339431184149	1.513210738	1.005175573	0.5190986925
-65	25	1.26951412342647	1.459812136	1.094198515	0.4941985154
-65	30	1.24852829198336	1.402591064	1.178846220	0.4675158909
-65	35	1.23046517707486	1.341584471	1.259304545	0.4390680498
-65	40	1.21538078330012	1.276776024	1.335702438	0.4088473743
-65	45	1.20335870332578	1.208107035	1.408107035	0.3768264988
-
-70	-45	1.89031058848148	1.694467827	-0.6944678271	0.4711477583
-70	-40	1.82538447410815	1.746950058	-0.5302252972	0.4902497283
-70	-35	1.76276975576208	1.783782341	-0.3689348265	0.5036555829
-70	-30	1.70287570361759	1.806515281	-0.2120519762	0.5119296964
-70	-25	1.64599957817942	1.816694344	-0.06061542179	0.5156345722
-70	-20	1.59234133687210	1.815792865	0.08469353930	0.5153064607
-70	-15	1.54201924880398	1.805166096	0.2234868793	0.5114386332
-70	-10	1.49509296688050	1.786030458	0.3556054342	0.5044738305
-70	-5	1.45157386171636	1.759446809	0.4810638155	0.4947981737
-70	0	1.41143964849363	1.726319422	0.6000000000	0.4827407909
-70	5	1.37465388187568	1.687408711	0.7126336675	0.4685784500
-70	10	1.34116746403030	1.643333355	0.8192332165	0.4525363324
-70	15	1.31093378250119	1.594589307	0.9200892401	0.4347949499
-70	20	1.28391020728208	1.541558577	1.015493343	0.4154933427
-70	25	1.26006611713206	1.484525515	1.105722553	0.3947350059
-70	30	1.23938718821965	1.423690112	1.191027762	0.3725927298
-70	35	1.22187441694196	1.359177020	1.271622980	0.3491118847
-70	40	1.20754827833072	1.291049117	1.347678986	0.3243153559
-70	45	1.19644804927785	1.219316950	1.419316950	0.2982069824
-
-75	-45	1.89551463979620	1.716902333	-0.7169023334	0.3528629168
-75	-40	1.83003142940736	1.773254826	-0.5522976176	0.3679625215
-75	-35	1.76653984282666	1.813418518	-0.3896863012	0.3787243505
-75	-30	1.70551386624255	1.838788592	-0.2306849808	0.3855222413
-75	-25	1.64732842964962	1.850819469	-0.07652822901	0.3887459051
-75	-20	1.59226471951529	1.850952316	0.07189654570	0.3887815013
-75	-15	1.54052100303940	1.840561412	0.2140027331	0.3859972669
-75	-10	1.49222954317702	1.820921002	0.3494532899	0.3807346349
-75	-5	1.44746322764440	1.793176261	0.4781128709	0.3733004540
-75	0	1.40625007310531	1.758333264	0.6000000000	0.3639643011
-75	5	1.36858998678926	1.717261153	0.7152454178	0.3529590622
-75	10	1.33445686272834	1.670687738	0.8240565322	0.3404797531
-75	15	1.30381553869847	1.619215025	0.9266876813	0.3266876813
-75	20	1.27662415530647	1.563324636	1.023415540	0.3117118966
-75	25	1.25284252696302	1.503391587	1.114519947	0.2956528846
-75	30	1.23243665075398	1.439695911	1.200268714	0.2785856798
-75	35	1.21538277715668	1.372434633	1.280906061	0.2605630747
-75	40	1.20166928875152	1.301732136	1.356643103	0.2416183976
-75	45	1.19129685039817	1.227649425	1.427649425	0.2217679951
-
-80	-45	1.89917671191572	1.732602622	-0.7326026223	0.2349737969
-80	-40	1.83333095395942	1.791773875	-0.5678369454	0.2454072853
-80	-35	1.76924415623139	1.834394666	-0.4043739576	0.2529224805
-80	-30	1.70743292410240	1.861735825	-0.2439335721	0.2577434646
-80	-25	1.64832504553413	1.875172014	-0.08788400705	0.2601126272
-80	-20	1.59226008652134	1.876109530	0.06274006853	0.2602779366
-80	-15	1.53949607706099	1.865928830	0.2072055539	0.2584828045
-80	-10	1.49022042914486	1.845942292	0.3450413613	0.2549586387
-80	-5	1.44455370308472	1.817356568	0.4759973682	0.2499182041
-80	0	1.40256290412752	1.781254822	0.6000000000	0.2435524924
-80	5	1.36427647240450	1.738590745	0.7171115153	0.2360296645
-80	10	1.32968626451466	1.690177995	0.8274931904	0.2274931904
-80	15	1.29876432961020	1.636700828	0.9313729883	0.2180637231
-80	20	1.27146816362013	1.578718408	1.029018415	0.2078398579
-80	25	1.24774885110699	1.516675494	1.120714335	0.1969000184
-80	30	1.22755656550068	1.450912972	1.206744887	0.1853043114
-80	35	1.21084639917363	1.381680007	1.287379741	0.1730966717
-80	40	1.19758171300601	1.309144603	1.362862901	0.1603067228
-80	45	1.18773400251360	1.233401882	1.433401882	0.1469512376
-
-85	-45	1.90135172613545	1.741893349	-0.7418933489	0.1174004557
-85	-40	1.83530228417680	1.802776216	-0.5770690051	0.1227270163
-85	-35	1.77087075399637	1.846901449	-0.4131313018	0.1265874741
-85	-30	1.70859814551693	1.875460372	-0.2518574430	0.1290860560
-85	-25	1.64894303025230	1.889774018	-0.09469303341	0.1303383378
-85	-20	1.59227742773000	1.891220341	0.05724018324	0.1304648746
-85	-15	1.53889902622330	1.881182769	0.2031182732	0.1295867009
-85	-10	1.48902984623557	1.860995342	0.3423871025	0.1278205299
-85	-5	1.44281914465844	1.831900624	0.4747249281	0.1252750719
-85	0	1.40035906053132	1.795030272	0.6000000000	0.1220493340
-85	5	1.36169608557121	1.751391463	0.7182314330	0.1182314330
-85	10	1.32683330495287	1.701852534	0.8295517266	0.1138973383
-85	15	1.29574789105570	1.647150993	0.9341731015	0.1091115736
-85	20	1.26839495431839	1.587893719	1.032357955	0.1039272339
-85	25	1.24472012982967	1.524569906	1.124395559	0.09838711813
-85	30	1.22466294568891	1.457558005	1.210581399	0.09252433643
-85	35	1.20816472861358	1.387138837	1.291202055	0.08636345758
-85	40	1.19517325697915	1.313506529	1.366522991	0.07992146530
-85	45	1.18564179228985	1.236775655	1.436775655	0.07320838369
-
-90	-45	1.90207210400461	1.744968083	-0.7449680830	0.000000000
-90	-40	1.83595706518701	1.806424708	-0.5801304534	0.000000000
-90	-35	1.77141274800444	1.851056374	-0.4160406113	0.000000000
-90	-30	1.70898814849249	1.880027151	-0.2544940742	0.000000000
-90	-25	1.64915258450619	1.894639829	-0.09696199861	0.000000000
-90	-20	1.59228618426014	1.896259578	0.05540605104	0.000000000
-90	-15	1.53870201072566	1.886272011	0.2017546149	0.000000000
-90	-10	1.48863474442167	1.866019038	0.3415012894	0.000000000
-90	-5	1.44224205402465	1.836753888	0.4743003226	0.000000000
-90	0	1.39962505736858	1.799625057	0.6000000000	0.000000000
-90	5	1.36083640797726	1.755658015	0.7186047079	0.000000000
-90	10	1.32588310048026	1.705739957	0.8302371842	0.000000000
-90	15	1.29474398307853	1.650626652	0.9351044014	0.000000000
-90	20	1.26737308471080	1.590941135	1.033467124	0.000000000
-90	25	1.24371429973297	1.527187955	1.125616375	0.000000000
-90	30	1.22370345588233	1.459758279	1.211851728	0.000000000
-90	35	1.20727698548355	1.388943411	1.292465631	0.000000000
-90	40	1.19437735027877	1.314946132	1.367730962	0.000000000
-90	45	1.18495161488303	1.237887322	1.437887322	0.000000000
-
-
-### +y patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = 90 - dsigma = 90 - dphi
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
-45	45	1.25442907088679	1.124244962	1.324244962	0.7242449618
-40	45	1.25834609906616	1.042100801	1.365225936	0.7652259361
-35	45	1.26444358472394	0.9610495585	1.401261809	0.8012618086
-30	45	1.27243376922633	0.8809347590	1.433003438	0.8330034378
-25	45	1.28210888561311	0.8014867729	1.460991163	0.8609911631
-20	45	1.29333145072582	0.7223545471	1.485661839	0.8856618394
-15	45	1.30602706198359	0.6431258028	1.507357849	0.9073578486
-10	45	1.32017593665754	0.5633374875	1.526332923	0.9263329231
-5	45	1.33580792838052	0.4824805097	1.542756540	0.9427565399
-0	45	1.35300103123078	0.4000000000	1.556716204	0.9567162041
--5	45	1.37187969720053	0.3152922106	1.568214463	0.9682144633
--10	45	1.39261691519868	0.2276998227	1.577162863	0.9771628629
--15	45	1.41543586970540	0.1365070050	1.583369245	0.9833692447
--20	45	1.44061297483667	0.04093648008	1.586518913	0.9865189131
--25	45	1.46848231013121	-0.05984879321	1.586148919	0.9861489194
--30	45	1.49943650104296	-0.1667337269	1.581611609	0.9816116094
--35	45	1.53392775327063	-0.2806230812	1.572030497	0.9720304968
--40	45	1.57245684492329	-0.4023832236	1.556243089	0.9562430893
--45	45	1.61555480481710	-0.5327410015	1.532741001	0.9327410015
-
-45	50	1.23736225850655	1.152465235	1.352465235	0.6313933008
-40	50	1.23935736956184	1.070140611	1.398642481	0.6701406111
-35	50	1.24389353067194	0.9879686803	1.439706299	0.7045972456
-30	50	1.25070264977248	0.9058863923	1.476220934	0.7352366629
-25	50	1.25958283003569	0.8237166984	1.508663392	0.7624591171
-20	50	1.27039286663750	0.7411937411	1.537422099	0.7865905378
-15	50	1.28305001566205	0.6579815359	1.562800200	0.8078852923
-10	50	1.29752427153789	0.5736849031	1.585016033	0.8265265901
-5	50	1.31383565736781	0.4878564428	1.604203736	0.8426269849
-0	50	1.33205260075918	0.4000000000	1.620411493	0.8562269072
--5	50	1.35228964454527	0.3095721317	1.633595265	0.8672894053
--10	50	1.37470895932734	0.2159832555	1.643610818	0.8756934521
--15	50	1.39951932842507	0.1186001001	1.650198724	0.8812213616
--20	50	1.42697683992283	0.01675196761	1.652965315	0.8835428075
--25	50	1.45738504057838	-0.09025626814	1.651357960	0.8821940763
--30	50	1.49108941462079	-0.2031184508	1.644631800	0.8765501580
--35	50	1.52847357513471	-0.3224851393	1.631815712	0.8657961831
--40	50	1.56993751889267	-0.4488906543	1.611668487	0.8488906543
--45	50	1.61587231217908	-0.5826449207	1.582644921	0.8245369906
-
-45	55	1.22346838283357	1.175296345	1.375296345	0.5428683448
-40	55	1.22366905302612	1.093141192	1.426053505	0.5784088915
-35	55	1.22668869162472	1.010330141	1.471641775	0.6103301413
-30	55	1.23229561441522	0.9268495753	1.512530232	0.6389605475
-25	55	1.24031061835772	0.8425812079	1.549118463	0.6645799027
-20	55	1.25060356044217	0.7573203268	1.581729529	0.6874144169
-15	55	1.26309586387049	0.6707921719	1.610610144	0.7076368408
-10	55	1.27775732453686	0.5826619299	1.635927282	0.7253640920
-5	55	1.29460333855419	0.4925423643	1.657764065	0.7406543718
-0	55	1.31369518705433	0.4000000000	1.676116098	0.7535046038
--5	55	1.33513691071267	0.3045601670	1.690882283	0.7638439979
--10	55	1.35907645582386	0.2057130853	1.701855847	0.7715277701
--15	55	1.38570115998536	0.1029227651	1.708707334	0.7763252333
--20	55	1.41523779816893	-0.004359341779	1.710968161	0.7779082810
--25	55	1.44794820937973	-0.1166727254	1.708008235	0.7758357187
--30	55	1.48411948351472	-0.2345131074	1.699008940	0.7695343445
--35	55	1.52405527627482	-0.3582827481	1.682939995	0.7582827481
--40	55	1.56804991499656	-0.4882140021	1.658532228	0.7411922455
--45	55	1.61635914612198	-0.6242662215	1.624266221	0.7171989294
-
-45	60	1.21226354496976	1.193612780	1.393612780	0.4581925519
-40	60	1.21085556742450	1.111812202	1.448304748	0.4897689749
-35	60	1.21247230350880	1.028681915	1.497850824	0.5183744150
-30	60	1.21692776541467	0.9442266414	1.542628194	0.5442266414
-25	60	1.22407446323110	0.8583590672	1.582954192	0.5675088671
-20	60	1.23380490250452	0.7709145464	1.619079341	0.5883657317
-15	60	1.24605423413311	0.6816638613	1.651183841	0.6069012736
-10	60	1.26079948491531	0.5903224559	1.679372284	0.6231758789
-5	60	1.27805728523270	0.4965583246	1.703666700	0.6372022666
-0	60	1.29788435617961	0.4000000000	1.724000824	0.6489421781
--5	60	1.32037443871425	0.3002445781	1.740209689	0.6583003711
--10	60	1.34565867092211	0.1968677286	1.752020358	0.6651192635
--15	60	1.37389974660482	0.08943734784	1.759035597	0.6691695138
--20	60	1.40528908176094	-0.02246724843	1.760719226	0.6701415573
--25	60	1.44003967636667	-0.1392280148	1.756378209	0.6676352705
--30	60	1.47837491653565	-0.2611493619	1.745144286	0.6611493619
--35	60	1.52051292408482	-0.3884047944	1.725958736	0.6500725791
--40	60	1.56664626541463	-0.5209669239	1.697565640	0.6336798178
--45	60	1.61691071771014	-0.6585165366	1.658516537	0.6111348073
-
-45	65	1.20335871477890	1.208107042	1.408107042	0.3768265024
-40	65	1.20056320965350	1.126732965	1.466086622	0.4038628245
-35	65	1.20093962142260	1.043484241	1.518990736	0.4285324180
-30	65	1.20434839466655	0.9583634114	1.567113798	0.4509725701
-25	65	1.21067855617211	0.8712949104	1.610695197	0.4712949104
-20	65	1.21985126921946	0.7821370890	1.649913023	0.4895824831
-15	65	1.23182152662316	0.6906922297	1.684878171	0.5058869991
-10	65	1.24657960972050	0.5967155072	1.715629079	0.5202263834
-5	65	1.26414641636517	0.4999226411	1.742121014	0.5325797754
-0	65	1.28457778709526	0.4000000000	1.764222851	0.5428860315
--5	65	1.30795821934672	0.2966143177	1.781703756	0.5510375109
--10	65	1.33440140827551	0.1894258435	1.794225385	0.5568764427
--15	65	1.36404319903628	0.07810535018	1.801327188	0.5601880676
--20	65	1.39703700809076	-0.03764323489	1.802414906	0.5606952788
--25	65	1.43354451315301	-0.1580525313	1.796747515	0.5580525313
--30	65	1.47372446045498	-0.2832523054	1.783427707	0.5518414028
--35	65	1.51771367570196	-0.4132172634	1.761394614	0.5415672026
--40	65	1.56561275919381	-0.5477072040	1.729433465	0.5266634742
--45	65	1.61745451375792	-0.6861901502	1.686190150	0.5064987852
-
-45	70	1.19644806163638	1.219316959	1.419316959	0.2982069854
-40	70	1.19250602609245	1.138365258	1.479949449	0.3202754069
-35	70	1.19183722089427	1.055112551	1.535597683	0.3405297080
-30	70	1.19434465712284	0.9695482865	1.586486569	0.3590517478
-25	70	1.19995364737664	0.8815966513	1.632787352	0.3759038543
-20	70	1.20861540738365	0.7911267726	1.674611976	0.3911267726
-15	70	1.22030762148829	0.6979611514	1.712006156	0.4047371410
-10	70	1.23503496859834	0.6018843253	1.744942904	0.4167251369
-5	70	1.25282677244927	0.5026516391	1.773313604	0.4270512271
-0	70	1.27374010080564	0.4000000000	1.796924174	0.4356447718
--5	70	1.29785143746265	0.2936592191	1.815480688	0.4423987906
--10	70	1.32525793745647	0.1833674257	1.828584380	0.4471681446
--15	70	1.35606886796052	0.06889017645	1.835718684	0.4497648190
--20	70	1.39040037790363	-0.04995522072	1.836241809	0.4499552207
--25	70	1.42836488905298	-0.1732685999	1.829378480	0.4474571733
--30	70	1.47006100716668	-0.3010294077	1.814218552	0.4419394107
--35	70	1.51555360535144	-0.4330484823	1.789716530	0.4330214040
--40	70	1.56486413700885	-0.5689186357	1.754712265	0.4202808936
--45	70	1.61794328871917	-0.7079531301	1.707953130	0.4032619603
-
-45	75	1.19129685278803	1.227649427	1.427649427	0.2217679955
-40	75	1.18645928247786	1.147065970	1.490318553	0.2385601374
-35	75	1.18496172307042	1.063862969	1.548094576	0.2540411759
-30	75	1.18674274462199	0.9780131100	1.601148074	0.2682568179
-25	75	1.19175956829082	0.8894342717	1.649595183	0.2812381816
-20	75	1.19999074070949	0.7979986792	1.693492384	0.2930004012
-15	75	1.21143500537721	0.7035405555	1.732828775	0.3035405555
-10	75	1.22611274265710	0.6058654550	1.767521012	0.3128363124
-5	75	1.24406204723861	0.5047592426	1.797403622	0.3208433335
-0	75	1.26534227913423	0.4000000000	1.822226787	0.3274946804
--5	75	1.29002386508609	0.2913704318	1.841641646	0.3326968764
--10	75	1.31818939253127	0.1786747910	1.855197634	0.3363291924
--15	75	1.34992431931994	0.06175917320	1.862331951	0.3382408268
--20	75	1.38531164498932	-0.05946371608	1.862366185	0.3382499998
--25	75	1.42442071776772	-0.1849840312	1.854502303	0.3361428791
--30	75	1.46729887614668	-0.3146603513	1.837828039	0.3316750233
--35	75	1.51395237718583	-0.4481766966	1.811321859	0.3245727138
--40	75	1.56433869060290	-0.5850015237	1.773879105	0.3145399581
--45	75	1.61834619060294	-0.7243404983	1.724340498	0.3012661285
-
-45	80	1.18773400379466	1.233401883	1.433401883	0.1469512378
-40	80	1.18225571671467	1.153100198	1.497509867	0.1582552050
-35	80	1.18015870584096	1.069958788	1.556800307	0.1687097093
-30	80	1.18140800128095	0.9839350177	1.611405119	0.1783380109
-25	80	1.18598551076335	0.8949390702	1.661400261	0.1871535034
-20	80	1.19389180623314	0.8028426232	1.706801011	0.1951588805
-15	80	1.20514190581988	0.7074857120	1.747552300	0.2023444322
-10	80	1.21977012628399	0.6086878725	1.783527737	0.2086878725
-5	80	1.23782248487556	0.5062565175	1.814517553	0.2141522131
-0	80	1.25936069671472	0.4000000000	1.840228178	0.2186856900
--5	80	1.28445087979967	0.2897408319	1.860268058	0.2222192616
--10	80	1.31316413540173	0.1753335454	1.874146779	0.2246664546
--15	80	1.34556690960168	0.05668557598	1.881266873	0.2259219193
--20	80	1.38171629152340	-0.06621830591	1.880924268	0.2258615087
--25	80	1.42164862794743	-0.1932867170	1.872307470	0.2243421348
--30	80	1.46537214129706	-0.3242900897	1.854507235	0.2212034730
--35	80	1.51284951762557	-0.4588224818	1.826525616	0.2162695586
--40	80	1.56399178162252	-0.5962671393	1.787304942	0.2093538957
--45	80	1.61864417218864	-0.7357602770	1.735760277	0.2002651805
-
-45	85	1.18564179258343	1.236775655	1.436775655	0.07320838371
-40	85	1.17977914542063	1.156649995	1.501740350	0.07889205810
-35	85	1.17731995856885	1.073555481	1.561936917	0.08415857531
-30	85	1.17824554981413	0.9874390324	1.617474250	0.08901746234
-25	85	1.18255323934653	0.8982048997	1.668403855	0.09347322540
-20	85	1.19025781532827	0.8057233385	1.714715711	0.09752498777
-15	85	1.20138487420614	0.7098368998	1.756327052	0.1011655084
-10	85	1.21597775646200	0.6103729176	1.793084103	0.1043813336
-5	85	1.23408810616149	0.5071516668	1.824749156	0.1071516668
-0	85	1.25577945106683	0.4000000000	1.851000831	0.1094483908
--5	85	1.28111539675585	0.2887651138	1.871420568	0.1112348862
--10	85	1.31016001527969	0.1733328727	1.885493158	0.1124660784
--15	85	1.34296693941642	0.05364911614	1.892599096	0.1130877674
--20	85	1.37957583847419	-0.07025619798	1.892018285	0.1130369530
--25	85	1.42000396007855	-0.1982419285	1.882933956	0.1122421772
--30	85	1.46423537188692	-0.3300252568	1.864440836	0.1106242388
--35	85	1.51220480327051	-0.4651461534	1.835556755	0.1080972092
--40	85	1.56379559616667	-0.6029385036	1.795255565	0.1045713119
--45	85	1.61882764890522	-0.7424998464	1.742499846	0.09995578464
-
-45	90	1.18495161504027	1.237887322	1.437887322	0.000000000
-40	90	1.17896081490624	1.157821404	1.503136381	0.000000000
-35	90	1.17638039164252	1.074744073	1.563634403	0.000000000
-30	90	1.17719720534339	0.9885986027	1.619482685	0.000000000
-25	90	1.18141380119529	0.8992870471	1.670724528	0.000000000
-20	90	1.18904990719678	0.8066790197	1.717341424	0.000000000
-15	90	1.20013482360644	0.7106177490	1.759241221	0.000000000
-10	90	1.21471497615781	0.6109330420	1.796260726	0.000000000
-5	90	1.23284400557528	0.5074494350	1.828152662	0.000000000
-0	90	1.25458611116918	0.4000000000	1.854586111	0.000000000
--5	90	1.28000409205952	0.2884402926	1.875133290	0.000000000
--10	90	1.30915990292363	0.1726667686	1.889270822	0.000000000
--15	90	1.34210236177633	0.05263834830	1.896371333	0.000000000
--20	90	1.37886435375825	-0.07159938390	1.895708658	0.000000000
--25	90	1.41945777181208	-0.1998887761	1.886465632	0.000000000
--30	90	1.46385876506861	-0.3319293825	1.867738878	0.000000000
--35	90	1.51199179805667	-0.4672428673	1.838551172	0.000000000
--40	90	1.56373124306004	-0.6051470679	1.797887629	0.000000000
--45	90	1.61888861321690	-0.7447271164	1.744727116	0.000000000
-
-
-### -x patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = drho = dnu
-# dpy = 180 - dsigma = 180 - dphi
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--90	45	1.61888860500844	-0.7447271106	1.744727111	1.401886392e-16
--90	40	1.67719767064341	-0.8848079556	1.678081882	1.573435950e-16
--90	35	1.73831246469164	-1.023942209	1.597055069	1.743826269e-16
--90	30	1.80181106101492	-1.160414152	1.500905531	1.910956196e-16
--90	25	1.86718549147547	-1.292244751	1.389106687	2.072402117e-16
--90	20	1.93385897720600	-1.417233011	1.261418725	2.225468590e-16
--90	15	2.00118061344054	-1.532992038	1.117943655	2.367232512e-16
--90	10	2.06845545253358	-1.637030966	0.9591835199	2.494643453e-16
--90	5	2.13494606936724	-1.726821955	0.7860728104	2.604605700e-16
--90	-2.84217e-14	2.19989330912459	-1.799893309	0.6000000000	2.694092299e-16
--90	-5	2.26254196091849	-1.853932306	0.4028064749	2.760270984e-16
--90	-10	2.32214986364320	-1.886871189	0.1967629079	2.800609482e-16
--90	-15	2.37798889466070	-1.896960888	-0.01546881498	2.812965799e-16
--90	-20	2.42936770048177	-1.882858901	-0.2308926891	2.795695846e-16
--90	-25	2.47564957662078	-1.843700489	-0.4462547208	2.747740622e-16
--90	-30	2.51624317587167	-1.779130512	-0.6581215879	2.668665207e-16
--90	-35	2.55062627655450	-1.689350729	-0.8629791302	2.558716682e-16
--90	-40	2.57833927333688	-1.575122473	-1.057324538	2.418827414e-16
--90	-45	2.59900816882645	-1.437776301	-1.237776301	2.250626864e-16
-
--85	45	1.61882763661009	-0.7424998377	1.742499838	0.09995578388
--85	40	1.67697610143041	-0.8817627970	1.675526690	0.1121397141
--85	35	1.73787346921511	-1.019940803	1.594253254	0.1242287232
--85	30	1.80109712760536	-1.155337892	1.497974751	0.1360744335
--85	25	1.86614586411300	-1.286010718	1.386199709	0.1475068244
--85	20	1.93244985713415	-1.409803043	1.258714438	0.1583372495
--85	15	1.99937416450009	-1.524387832	1.115638166	0.1683621195
--85	10	2.06624209718306	-1.627340209	0.9574747780	0.1773692854
--85	5	2.13233608888646	-1.716199655	0.7851434796	0.1851434796
--85	-2.84217e-14	2.19691995862016	-1.788560015	0.6000000000	0.1914741908
--85	-5	2.25925753079131	-1.842160620	0.4038363639	0.1961636361
--85	-10	2.31862436082977	-1.874970781	0.1988612711	0.1990341532
--85	-15	2.37431041828357	-1.885262138	-0.01233414449	0.1999345303
--85	-20	2.42563679294829	-1.871688879	-0.2268271335	0.1987470240
--85	-25	2.47196562440567	-1.833351967	-0.4414291256	0.1953929788
--85	-30	2.51270728330797	-1.769849027	-0.6527629197	0.1898371914
--85	-35	2.54733062967696	-1.681313033	-0.8573510750	0.1820912956
--85	-40	2.57536353643301	-1.568427080	-1.051706436	0.1722150544
--85	-45	2.59641198787352	-1.432437381	-1.232437381	0.1603174975
-
--80	45	1.61864414640614	-0.7357602589	1.735760259	0.2002651773
--80	40	1.67631039778960	-0.8725716617	1.667814412	0.2243887188
--80	35	1.73655667174240	-1.007893658	1.585817752	0.2482496378
--80	30	1.79896084621001	-1.140093013	1.489173116	0.2715599510
--80	25	1.86303893028863	-1.267330663	1.377489057	0.2939953816
--80	20	1.92824646134384	-1.387586715	1.250628356	0.3151997683
--80	15	1.99399340990720	-1.498707291	1.108757085	0.3347933239
--80	10	2.05965506932869	-1.598457620	0.9523819982	0.3523819982
--80	5	2.12457336230939	-1.684573250	0.7823765277	0.3675665073
--80	-2.84217e-14	2.18807810930976	-1.754836286	0.6000000000	0.3799557763
--80	-5	2.24948983264317	-1.807137873	0.4069004573	0.3891779572
--80	-10	2.30813733445621	-1.839556862	0.2051057004	0.3948942996
--80	-15	2.36335830705610	-1.850421504	-0.002998624699	0.3968100292
--80	-20	2.41450560416996	-1.838374725	-0.2147017729	0.3946858569
--80	-25	2.46095617833665	-1.802437978	-0.4270136959	0.3883492389
--80	-30	2.50211761226440	-1.742066550	-0.6367226991	0.3777041272
--80	-35	2.53743711333018	-1.657198407	-0.8404658321	0.3627395838
--80	-40	2.56640743345881	-1.548289157	-1.034808713	0.3435359446
--80	-45	2.58857826972102	-1.416337663	-1.216337663	0.3202693360
-
--75	45	1.61834614231566	-0.7243404648	1.724340465	0.3012661196
--75	40	1.67520656194781	-0.8570743092	1.654810589	0.3368320460
--75	35	1.73437112301658	-0.9876801437	1.571664097	0.3718277738
--75	30	1.79542248903442	-1.114636407	1.474475737	0.4058456021
--75	25	1.85790571638619	-1.236277100	1.363008542	0.4384391274
--75	20	1.92132356814817	-1.350807417	1.237241786	0.4691274335
--75	15	1.98515535908778	-1.456344834	1.097406099	0.4974060993
--75	10	2.04885457478903	-1.550946829	0.9440045638	0.5227546272
--75	5	2.11186156674012	-1.632656405	0.7778343923	0.5446486423
--75	-2.84217e-14	2.17360000727076	-1.699536383	0.6000000000	0.5625690783
--75	-5	2.23348921107417	-1.749722417	0.4119236588	0.5760163855
--75	-10	2.29093960084216	-1.781463440	0.2153491381	0.5845213671
--75	-15	2.34536170213751	-1.793178514	0.01233958828	0.5876604117
--75	-20	2.39616255489902	-1.783504769	-0.1947307422	0.5850683395
--75	-25	2.44274860699231	-1.751354383	-0.4031930241	0.5764536695
--75	-30	2.48453016747945	-1.695974552	-0.6101114716	0.5616146885
--75	-35	2.52093115342822	-1.617011272	-0.8123264974	0.5404565415
--75	-40	2.55138973539255	-1.514561799	-1.006508100	0.5130052879
--75	-45	2.57537498178464	-1.389232988	-1.189232988	0.4794235342
-
--70	45	1.61794320249859	-0.7079530710	1.707953071	0.4032619388
--70	40	1.67367170344122	-0.8350013001	1.636289135	0.4495037125
--70	35	1.73133199010216	-0.9591035509	1.551654552	0.4946732378
--70	30	1.79052000836377	-1.078906386	1.453847000	0.5382779038
--70	25	1.85082284160067	-1.192983550	1.342820429	0.5797985958
--70	20	1.91181073424119	-1.299841569	1.218691734	0.6186917341
--70	15	1.97305188038627	-1.397944877	1.081757878	0.6543984180
--70	10	2.03410454152521	-1.485722769	0.9325038023	0.6863469579
--70	5	2.09452745836929	-1.561594064	0.7716172430	0.7139618509
--70	-2.84217e-14	2.15386768381044	-1.623973569	0.6000000000	0.7366661339
--70	-5	2.21166209240836	-1.671294513	0.4187852113	0.7538895491
--70	-10	2.26743566250032	-1.702033090	0.2293548518	0.7650774763
--70	-15	2.32069265582514	-1.714732772	0.03335906166	0.7696997823
--70	-20	2.37091518095099	-1.708043495	-0.1672650846	0.7672650846
--70	-25	2.41755793012245	-1.680766417	-0.3702773153	0.7573370404
--70	-30	2.46005219966587	-1.631916366	-0.5731274608	0.7395570757
--70	-35	2.49780132373323	-1.560785492	-0.7729567826	0.7136675550
--70	-40	2.53018844981881	-1.467024470	-0.9666195441	0.6795413337
--70	-45	2.55659108493736	-1.350730767	-1.150730767	0.6372138874
-
--65	45	1.61745434997892	-0.6861900402	1.686190040	0.5064987339
--65	40	1.67172121389770	-0.8059801329	1.611937485	0.5623577715
--65	35	1.72746442327147	-0.9219014290	1.525605345	0.6164127597
--65	30	1.78430878092983	-1.032832600	1.427246287	0.6681408141
--65	25	1.84189756584525	-1.137647639	1.317016869	0.7170168695
--65	20	1.89988758162423	-1.235213050	1.195168877	0.7625123680
--65	15	1.95794813013675	-1.324385505	1.062047704	0.8040941667
--65	10	2.01576117736629	-1.404009763	0.9180955947	0.8412235679
--65	5	2.07301385714687	-1.472910177	0.7638584083	0.8733523586
--65	-2.84217e-14	2.12938849244289	-1.529881372	0.6000000000	0.8999184632
--65	-5	2.18455943558622	-1.573688495	0.4273246314	0.9203460600
--65	-10	2.23817722497268	-1.603061479	0.2468062172	0.9340429075
--65	-15	2.28986252683020	-1.616706004	0.05962525474	0.9404054541
--65	-20	2.33919462299990	-1.613319952	-0.1327885345	0.9388265119
--65	-25	2.38570111647057	-1.591624158	-0.3287095970	0.9287095970
--65	-30	2.42885222450417	-1.550412778	-0.5260713427	0.9094924152
--65	-35	2.46805615140051	-1.488621791	-0.7224272151	0.8806788046
--65	-40	2.50265730898547	-1.405417655	-0.9149252885	0.8418800787
--65	-45	2.53194436075818	-1.300309345	-1.100309345	0.7928672690
-
--60	45	1.61691047820925	-0.6585163798	1.658516380	0.6111347168
--60	40	1.66938166155479	-0.7695403056	1.581360839	0.6752344103
--60	35	1.72280999102170	-0.8757622303	1.493298331	0.7365616671
--60	30	1.77686980054130	-0.9763574292	1.394640332	0.7946403322
--60	25	1.83127573985519	-1.070547927	1.285727760	0.8490212416
--60	20	1.88578130498004	-1.157588858	1.166915981	0.8992743464
--60	15	1.94017222276601	-1.236748733	1.038565501	0.9449773218
--60	10	1.99425340770847	-1.307283261	0.9010401026	0.9857004503
--60	5	2.04784911044589	-1.368420631	0.7547167576	1.020998127
--60	-2.84217e-14	2.10077610215456	-1.419325472	0.6000000000	1.050388051
--60	-5	2.15284397208701	-1.459088971	0.4373507906	1.073345518
--60	-10	2.20383937944811	-1.486710118	0.2673221014	1.089292595
--60	-15	2.25351092681860	-1.501084405	0.09060596901	1.097591593
--60	-20	2.30155492663859	-1.501003208	-0.09190858279	1.097544714
--60	-25	2.34759637441966	-1.485162844	-0.2790658711	1.088399275
--60	-30	2.39117686927222	-1.452197639	-0.4693668052	1.069366805
--60	-35	2.43174534075047	-1.400737676	-0.6608900951	1.039656382
--60	-40	2.46864148446840	-1.329488099	-0.8512128260	0.9985204195
--60	-45	2.50109697953136	-1.237352318	-1.037352318	0.9453258018
-
--55	45	1.61635881896426	-0.6242660142	1.624266014	0.7171987842
--55	40	1.66669754900596	-0.7251255799	1.544092459	0.7878214125
--55	35	1.71743446978267	-0.8203484384	1.454497176	0.8544971758
--55	30	1.76831279232902	-0.9094576207	1.356015710	0.9168920970
--55	25	1.81913816553000	-0.9920525993	1.249124788	0.9747257236
--55	20	1.86976786148125	-1.067776345	1.134226900	1.027748061
--55	15	1.92010311922607	-1.136285364	1.011646423	1.075718593
--55	10	1.97007281023241	-1.197214223	0.8816319614	1.118381439
--55	5	2.01962343103727	-1.250146439	0.7443691066	1.155444976
--55	-2.84217e-14	2.06870262397433	-1.294581983	0.6000000000	1.186559079
--55	-5	2.11724915540424	-1.329912171	0.4486522961	1.211297543
--55	-10	2.16518077544281	-1.355395796	0.2904763593	1.229141369
--55	-15	2.21237527967205	-1.370133973	0.1256940315	1.239461151
--55	-20	2.25865535814341	-1.373054813	-0.04533917558	1.241506346
--55	-25	2.30376942628487	-1.362905248	-0.2220562175	1.234399543
--55	-30	2.34736921681197	-1.338256107	-0.4035826311	1.217140029
--55	-35	2.38898829930143	-1.297530934	-0.5886239567	1.188623957
--55	-40	2.42801610505151	-1.239063446	-0.7753375331	1.147684581
--55	-45	2.46367997899763	-1.161202650	-0.9612026505	1.093165865
-
--50	45	1.61587181164164	-0.5826446163	1.582644616	0.8245367351
--50	40	1.66373732499270	-0.6721131268	1.499609729	0.8996097293
--50	35	1.71143118913593	-0.7553235980	1.408966292	0.9694316050
--50	30	1.75878385220368	-0.8321739549	1.311395965	1.033916711
--50	25	1.80570372156531	-0.9026351499	1.207428746	1.093040674
--50	20	1.85215794818287	-0.9667061881	1.097440371	1.146802658
--50	15	1.89815702349722	-1.024376243	0.9816604640	1.195193580
--50	10	1.94373911352497	-1.075590271	0.8601863772	1.238167252
--50	5	1.98895977679726	-1.120221215	0.7330021224	1.275617061
--50	-2.84217e-14	2.03388013290941	-1.158042574	0.6000000000	1.307352949
--50	-5	2.07855094615434	-1.188698415	0.4610068989	1.333076254
--50	-10	2.12300706972169	-1.211681606	0.3158170485	1.352361441
--50	-15	2.16725049636025	-1.226303873	0.1642331905	1.364630980
--50	-20	2.21123614586892	-1.231669765	0.006120773412	1.369133498
--50	-25	2.25485075655615	-1.226649942	-0.1585193249	1.364921366
--50	-30	2.29788550539080	-1.209859374	-0.3294527428	1.350832407
--50	-35	2.34000752988943	-1.179652127	-0.5060843274	1.325485517
--50	-40	2.38072210918872	-1.134138464	-0.6872950194	1.287295019
--50	-45	2.41933491476322	-1.071246922	-0.8712469219	1.234522750
-
--45	45	1.61555447204308	-0.5327408093	1.532740809	0.9327408093
--45	40	1.66060683996538	-0.6098488998	1.447363839	1.009848900
--45	35	1.70493000748280	-0.6803924492	1.356498937	1.080392449
--45	30	1.74846504162865	-0.7446390576	1.260857668	1.144639058
--45	25	1.79122903696973	-0.8028872034	1.160915515	1.202887203
--45	20	1.83329439616910	-0.8554236473	1.056936839	1.255423647
--45	15	1.87476943722593	-0.9024896747	0.9490010565	1.302489675
--45	10	1.91578516807300	-0.9442563416	0.8370286620	1.344256342
--45	5	1.95648472440208	-0.9808038790	0.7208046860	1.380803879
--45	-2.84217e-14	1.99701629724490	-1.012103766	0.6000000000	1.412103766
--45	-5	2.03752268651696	-1.037997033	0.4741915614	1.437997033
--45	-10	2.07813660364081	-1.058174097	0.3428845641	1.458174097
--45	-15	2.11896892328094	-1.072146435	0.2055395516	1.472146435
--45	-20	2.16009895084989	-1.079216491	0.06160922731	1.479216491
--45	-25	2.20155727652860	-1.078440233	-0.08940800295	1.478440233
--45	-30	2.24329260358431	-1.068579737	-0.2478849067	1.468579737
--45	-35	2.28514831790123	-1.048069409	-0.4139491159	1.448069409
--45	-40	2.32681405026112	-1.014983097	-0.5873117945	1.414983097
--45	-45	2.36776251898339	-0.9670283277	-0.7670283277	1.367028328
-
-
-### -y patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = 90 + dsigma = 90 + dphi
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--45	-90	2.59900817849159	-1.437776307	-1.237776307	2.250626872e-16
--40	-90	2.61234340931067	-1.279181976	-1.401171152	2.450727846e-16
--35	-90	2.61815395792072	-1.101711417	-1.544666167	2.626458557e-16
--30	-90	2.61635613791366	-0.9081780690	-1.665830881	2.774842536e-16
--25	-90	2.60697416141553	-0.7017548885	-1.762720983	2.893498689e-16
--20	-90	2.59013385625636	-0.4858779527	-1.833929672	2.980704182e-16
--15	-90	2.56607409405604	-0.2641488467	-1.878637240	3.035455162e-16
--10	-90	2.53512543069179	-0.04021991120	-1.896611179	3.057466889e-16
--5	-90	2.49769303102990	0.1823117087	-1.888188555	3.047152150e-16
--2.84217e-14	-90	2.45428735144919	0.4000000000	-1.854287351	3.005635149e-16
-5	-90	2.40546617165522	0.6096501908	-1.796312647	2.934636612e-16
-10	-90	2.35185577970834	0.8083954703	-1.716125806	2.836436055e-16
-15	-90	2.29412634445798	0.9937635898	-1.615955885	2.713763281e-16
-20	-90	2.23298286980260	1.163725121	-1.498317525	2.569697841e-16
-25	-90	2.16916139651909	1.316727219	-1.365927865	2.407567267e-16
-30	-90	2.10341640287101	1.451708201	-1.221612040	2.230831354e-16
-35	-90	2.03649525526437	1.568085691	-1.068199252	2.042954874e-16
-40	-90	1.96914045827297	1.665739088	-0.9084491058	1.847317369e-16
-45	-90	1.90207209978327	1.744968080	-0.7449680801	1.647110854e-16
-
--45	-85	2.59641200300392	-1.432437392	-1.232437392	0.1603174984
--40	-85	2.60925295803784	-1.273441378	-1.394329774	0.1744812466
--35	-85	2.61459989284010	-1.095836434	-1.536275821	0.1868999165
--30	-85	2.61239525901408	-0.9024644510	-1.655934604	0.1973687035
--25	-85	2.60268343416170	-0.6965000104	-1.751451861	0.2057253806
--20	-85	2.58560785782153	-0.4813564915	-1.821507059	0.2118544163
--15	-85	2.56141943053023	-0.2605895184	-1.865353646	0.2156904956
--10	-85	2.53045420885374	-0.03778681970	-1.882812431	0.2172179414
--5	-85	2.49312670777852	0.1835302999	-1.874259994	0.2164697001
--2.84217e-14	-85	2.44992744822331	0.4000000000	-1.840604735	0.2135252464
-5	-85	2.40140794449329	0.6085060723	-1.783235312	0.2085060723
-10	-85	2.34817519249120	0.8062512358	-1.703965248	0.2015708404
-15	-85	2.29087755599051	0.9908168273	-1.604958417	0.1929088651
-20	-85	2.23019817302893	1.160207945	-1.488654164	0.1827335614
-25	-85	2.16685040385609	1.312885316	-1.357688879	0.1712755836
-30	-85	2.10156591319996	1.447779766	-1.214807790	0.1587751081
-35	-85	2.03507274471932	1.564283669	-1.062769402	0.1454734727
-40	-85	1.96809833049397	1.662237596	-0.9042761902	0.1316071135
-45	-85	1.90135171992462	1.741893344	-0.7418933445	0.1174004553
-
--45	-80	2.58857830146944	-1.416337685	-1.216337685	0.3202693400
--40	-80	2.59995214107341	-1.256176786	-1.373754635	0.3480261954
--35	-80	2.60393116377695	-1.078213529	-1.511107705	0.3722452476
--30	-80	2.60053089398086	-0.8853654722	-1.626318304	0.3925599847
--25	-80	2.58985597705080	-0.6808065509	-1.717797128	0.4086901695
--20	-80	2.57210334218181	-0.4678783555	-1.784476184	0.4204474862
--15	-80	2.54755463875100	-0.2499953642	-1.825815724	0.4277367623
--10	-80	2.51656379761101	-0.03055353921	-1.841790459	0.4305535392
--5	-80	2.47954478670646	0.1871521989	-1.832861499	0.4289791227
--2.84217e-14	-80	2.43696537794993	0.4000000000	-1.799942398	0.4231745969
-5	-80	2.38933913680305	0.6051044144	-1.744354184	0.4133728950
-10	-80	2.33722101853074	0.7998701652	-1.667776398	0.3998701652
-15	-80	2.28119919941473	0.9820361541	-1.572188499	0.3830154396
-20	-80	2.22189054088616	1.149709655	-1.459810348	0.3632001394
-25	-80	2.15994287903455	1.301393913	-1.333045484	0.3408480738
-30	-80	2.09602263414413	1.436001968	-1.194408045	0.3164025527
-35	-80	2.03080097398701	1.552855927	-1.046448894	0.2903133623
-40	-80	1.96496054078999	1.651685360	-0.8917005251	0.2630270497
-45	-80	1.89917670048033	1.732602614	-0.7326026143	0.2349737955
-
--45	-75	2.57537502730778	-1.389233020	-1.189233020	0.4794235427
--40	-75	2.58435721186509	-1.227266401	-1.339300580	0.5196340242
--35	-75	2.58613177963083	-1.048854497	-1.469178662	0.5544347514
--30	-75	2.58082331521550	-0.8570118652	-1.577208416	0.5833812369
--25	-75	2.56863615879494	-0.6548927829	-1.662224873	0.6061613279
--20	-75	2.54984245778491	-0.4457014675	-1.723545685	0.6225921900
--15	-75	2.52476827894280	-0.2326130272	-1.760943959	0.6326130272
--10	-75	2.49378604119657	-0.01870896546	-1.774616544	0.6362765852
--5	-75	2.45730115304807	0.1930770349	-1.765140314	0.6337374371
--2.84217e-14	-75	2.41574492896954	0.4000000000	-1.733430417	0.6252407957
-5	-75	2.36957000515613	0.5995353524	-1.680699514	0.6111115930
-10	-75	2.31925478805500	0.7894050078	-1.608425541	0.5917458404
-15	-75	2.26529256044351	0.9675980628	-1.518304809	0.5675980628
-20	-75	2.20819851267798	1.132389061	-1.412222407	0.5391733688
-25	-75	2.14851822752384	1.282357886	-1.292222594	0.5070195159
-30	-75	2.08681573047898	1.416401285	-1.160458666	0.4717134779
-35	-75	2.02367342729274	1.533742823	-1.019152553	0.4338506191
-40	-75	1.95970086719973	1.633945278	-0.8705587179	0.3940350209
-45	-75	1.89551459293415	1.716902301	-0.7169023009	0.3528629080
-
--45	-70	2.55659120052236	-1.350730846	-1.150730846	0.6372139162
--40	-70	2.56234275263925	-1.186528559	-1.290751110	0.6881771244
--35	-70	2.56118622473051	-1.007797316	-1.410542930	0.7317777813
--30	-70	2.55339051555558	-0.8176377933	-1.509010523	0.7676170542
--25	-70	2.53927888277078	-0.6191295383	-1.585530348	0.7954679927
--20	-70	2.51920190701753	-0.4152529790	-1.639889151	0.8152529790
--15	-70	2.49353400314066	-0.2088434174	-1.672234568	0.8270257479
--10	-70	2.46265909386326	-0.002557241131	-1.683015563	0.8309497093
--5	-70	2.42696047946848	0.2011445184	-1.672928555	0.8272783387
--2.84217e-14	-70	2.38681762281633	0.4000000000	-1.642874907	0.8163397054
-5	-70	2.34260698401770	0.5919438919	-1.593928724	0.7985247516
-10	-70	2.29470454071355	0.7751026406	-1.527312786	0.7742785332
-15	-70	2.24348894618655	0.9477901946	-1.444380838	0.7440937726
-20	-70	2.18935445573432	1.108509206	-1.346613044	0.7085092057
-25	-70	2.13271497165432	1.255956720	-1.235605110	0.6681056220
-30	-70	2.07400391579117	1.389032244	-1.113054097	0.6235007010
-35	-70	2.01368986145506	1.506857109	-0.9807557747	0.5753480496
-40	-70	1.95228061875261	1.608795722	-0.8405866439	0.5243306583
-45	-70	1.89031049106127	1.694467760	-0.6944677604	0.4711477340
-
--45	-65	2.53194442717633	-1.300309390	-1.100309390	0.7928672898
--40	-65	2.53375545819447	-1.133749829	-1.227851868	0.8523413242
--35	-65	2.52910635590646	-0.9551389716	-1.335339021	0.9024634067
--30	-65	2.51842937911408	-0.7676013566	-1.422344873	0.9430349016
--25	-65	2.50215686534898	-0.5740436796	-1.488843412	0.9740436796
--20	-65	2.48071579695767	-0.3771222093	-1.535125722	0.9956254754
--15	-65	2.45451196007712	-0.1792296523	-1.561714492	1.008024022
--10	-65	2.42392142908796	0.01749500032	-1.569293651	1.011558242
--5	-65	2.38928889525504	0.2111420847	-1.558655849	1.006597754
--2.84217e-14	-65	2.35092775639350	0.4000000000	-1.530664132	0.9935450019
-5	-65	2.30912444297463	0.5825214311	-1.486229503	0.9728247941
-10	-65	2.26414560939166	0.7572917031	-1.426301940	0.9448801124
-15	-65	2.21624675463849	0.9230024779	-1.351871820	0.9101727773
-20	-65	2.16568636390297	1.078434416	-1.263983237	0.8691896582
-25	-65	2.11273304528598	1.222448144	-1.163745736	0.8224481438
-30	-65	2.05767918933541	1.353987050	-1.052354040	0.7705053427
-35	-65	2.00085843983750	1.472094593	-0.9311097556	0.7139682045
-40	-65	1.94265271689719	1.575939557	-0.8014301919	0.6534976309
-45	-65	1.88349299740131	1.664846414	-0.6648464141	0.5898075693
-
--45	-60	2.50109704827316	-1.237352363	-1.037352363	0.9453258278
--40	-60	2.49843891678409	-1.068729511	-1.150363672	1.010572937
--35	-60	2.48995752134178	-0.8910738321	-1.243844520	1.064544130
--30	-60	2.47622456824346	-0.7074012924	-1.318075303	1.107401292
--25	-60	2.45777156361392	-0.5203213653	-1.373635537	1.139479009
--20	-60	2.43506566157733	-0.3320454582	-1.411278366	1.161212106
--15	-60	2.40851473160106	-0.1444318078	-1.431847168	1.173087509
--10	-60	2.37846458937694	0.04096176480	-1.436207016	1.175604669
--5	-60	2.34520218559997	0.2228179625	-1.425199956	1.169249740
--2.84217e-14	-60	2.30896262103647	0.4000000000	-1.399620286	1.154481311
-5	-60	2.26993694039538	0.5714956837	-1.360204634	1.131724673
-10	-60	2.22828113374281	0.7363674739	-1.307634740	1.101373430
-15	-60	2.18413002575347	0.8937108513	-1.242553981	1.063799037
-20	-60	2.13760577429727	1.042621110	-1.165586989	1.019362123
-25	-60	2.08883776641058	1.182172783	-1.077374947	0.9684328773
-30	-60	2.03797492531972	1.311410094	-0.9786085892	0.9114100939
-35	-60	1.98520786153523	1.429354878	-0.8700711177	0.8487459555
-40	-60	1.93077123569602	1.535021022	-0.7526653809	0.7809617218
-45	-60	1.87497599201726	1.627459916	-0.6274599157	0.7086743127
-
--45	-55	2.46367987681807	-1.161202586	-0.9612025857	1.093165819
--40	-55	2.45626540463620	-0.9913392070	-1.058133498	1.161037575
--35	-55	2.44387325626015	-0.8159315725	-1.136530252	1.215931572
--30	-55	2.42717626992990	-0.6377029440	-1.197354222	1.258520975
--25	-55	2.40674705861667	-0.4588018232	-1.241706453	1.289576742
--20	-55	2.38305564812443	-0.2808826153	-1.270709611	1.309884971
--15	-55	2.35647604875020	-0.1051993957	-1.285429813	1.320192168
--10	-55	2.32729470208222	0.06730134624	-1.286827826	1.321171067
--5	-55	2.29572281495392	0.2358944312	-1.275735234	1.313403951
--2.84217e-14	-55	2.26190964465325	0.4000000000	-1.252847909	1.297378073
-5	-55	2.22595279213746	0.5591181856	-1.218729184	1.273487884
-10	-55	2.18790330539909	0.7127719423	-1.173817830	1.242040616
-15	-55	2.14778419773986	0.8604584373	-1.118454283	1.203274643
-20	-55	2.10560418186955	1.001609653	-1.052908938	1.157379298
-25	-55	2.06136430279455	1.135558569	-0.9774104409	1.104514682
-30	-55	2.01508086053416	1.261517710	-0.8921924451	1.044844398
-35	-55	1.96679700835085	1.378565714	-0.7975366746	0.9785657145
-40	-55	1.91660456461104	1.485651033	-0.6938285194	0.9059484825
-45	-55	1.86467241809928	1.581619182	-0.5816191819	0.8273786585
-
--45	-50	2.41933475431751	-1.071246824	-0.8712468244	1.234522668
--40	-50	2.40717667384019	-0.9015994312	-0.9511857982	1.301599431
--35	-50	2.39109497981298	-0.7302325521	-1.014139366	1.354423747
--30	-50	2.37179210809742	-0.5593466146	-1.061637079	1.394279060
--25	-50	2.34981901733178	-0.3904661227	-1.095160070	1.422408190
--20	-50	2.32559196945166	-0.2245921598	-1.116052855	1.439939318
--15	-50	2.29941195781966	-0.06234037753	-1.125477779	1.447847768
--10	-50	2.27148161381548	0.09594244009	-1.124396112	1.446940141
--5	-50	2.24192394653412	0.2500821150	-1.113569267	1.437855340
--2.84217e-14	-50	2.21080147740650	0.4000000000	-1.093572187	1.421075797
-5	-50	2.17812238686896	0.5456514625	-1.064803834	1.396936283
-10	-50	2.14385036923948	0.6869730083	-1.027504805	1.365638681
-15	-50	2.10791865751718	0.8238370182	-0.9817812862	1.327272094
-20	-50	2.07023978312712	0.9560113530	-0.9276286373	1.281832626
-25	-50	2.03071434318599	1.083121075	-0.8649578728	1.229245611
-30	-50	1.98924081705872	1.204611600	-0.7936281719	1.169392885
-35	-50	1.94573426045333	1.319717626	-0.7134928946	1.102151403
-40	-50	1.90015138197061	1.427442641	-0.6244584580	1.027442641
-45	-50	1.85250293676441	1.526544831	-0.5265448314	0.9452833525
-
--45	-45	2.36776239030967	-0.9670282534	-0.7670282534	1.367028253
--40	-45	2.35123253680316	-0.7997719036	-0.8298324764	1.429832476
--35	-45	2.33200275882312	-0.6347390220	-0.8777604717	1.477760472
--30	-45	2.31071639070798	-0.4733687029	-0.9127189671	1.512718967
--25	-45	2.28783035198879	-0.3164240380	-0.9363763076	1.536376308
--20	-45	2.26365331914338	-0.1642010331	-0.9501295984	1.550129598
--15	-45	2.23837880188568	-0.01668940786	-0.9551060411	1.555106041
--10	-45	2.21210989784012	0.1263088482	-0.9521796535	1.552179654
--5	-45	2.18487840498095	0.2650929668	-0.9419944450	1.541994445
--2.84217e-14	-45	2.15666260375929	0.4000000000	-0.9249907518	1.524990752
-5	-45	2.12739671831945	0.5313577813	-0.9014263103	1.501426310
-10	-45	2.09697660155480	0.6594463964	-0.8713936310	1.471393631
-15	-45	2.06526976232245	0.7844639851	-0.8348391261	1.434839126
-20	-45	2.03211875227256	0.9064925312	-0.7915767926	1.391576793
-25	-45	1.99734700286902	1.025460452	-0.7413042670	1.341304267
-30	-45	1.96076735191208	1.141100399	-0.6836235443	1.283623544
-35	-45	1.92219371265759	1.252901582	-0.6180696943	1.218069694
-40	-45	1.88145418387734	1.360056410	-0.5441506754	1.144150675
-45	-45	1.83841979520561	1.461412164	-0.4614121636	1.061412164
-
-
diff --git a/test/checkpoint/h.t1.ah2.gp b/test/checkpoint/h.t1.ah2.gp
deleted file mode 100644
index cf3fd25..0000000
--- a/test/checkpoint/h.t1.ah2.gp
+++ /dev/null
@@ -1,1228 +0,0 @@
-# N_patches = 5
-# origin = 0 0 0
-
-### +z patch
-# N_rho = 19
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = dsigma = dnu
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--45	-45	1.86328172464797	-1.075766205	-1.075766205	1.075766205
--40	-45	1.85966246594113	-0.9489366713	-1.130898687	1.130898687
--35	-45	1.85652104442878	-0.8237617912	-1.176453760	1.176453760
--30	-45	1.85385329023144	-0.7006906819	-1.213631861	1.213631861
--25	-45	1.85164421842459	-0.5798342639	-1.243458592	1.243458592
--20	-45	1.84987181994696	-0.4610686553	-1.266775719	1.266775719
--15	-45	1.84851533793535	-0.3441136777	-1.284249729	1.284249729
--10	-45	1.84755626902564	-0.2285871076	-1.296381908	1.296381908
--5	-45	1.84698192162331	-0.1140433494	-1.303521448	1.303521448
-0	-45	1.84678333862544	0.000000000	-1.305873022	1.305873022
-5	-45	1.84695895872532	0.1140419315	-1.303505242	1.303505242
-10	-45	1.84751203658472	0.2285816350	-1.296350871	1.296350871
-15	-45	1.84845146394640	0.3441017871	-1.284205352	1.284205352
-20	-45	1.84979453013281	0.4610493913	-1.266722792	1.266722792
-25	-45	1.85156096384958	0.5798081931	-1.243402683	1.243402683
-30	-45	1.85377375204839	0.7006606193	-1.213579791	1.213579791
-35	-45	1.85645505372829	0.8237325103	-1.176411943	1.176411943
-40	-45	1.85962301505228	0.9489165405	-1.130874696	1.130874696
-45	-45	1.86328172267873	1.075766204	-1.075766204	1.075766204
-
--45	-40	1.85962301591999	-1.130874697	-0.9489165410	1.130874697
--40	-40	1.85513915423794	-1.003103800	-1.003103800	1.195452557
--35	-40	1.85116510640798	-0.8750162918	-1.048583181	1.249652773
--30	-40	1.84773022357668	-0.7473731482	-1.086204626	1.294488265
--25	-40	1.84484315135311	-0.6205950339	-1.116732816	1.330870345
--20	-40	1.84249967730485	-0.4948464167	-1.140822536	1.359579356
--15	-40	1.84069051250916	-0.3701057323	-1.159009216	1.381253397
--10	-40	1.83940444170906	-0.2462202744	-1.171705774	1.396384566
--5	-40	1.83863283575678	-0.1229497310	-1.179205051	1.405321855
-0	-40	1.83836983480459	0.000000000	-1.181681352	1.408272996
-5	-40	1.83861509579685	0.1229485447	-1.179193673	1.405308296
-10	-40	1.83937020147205	0.2462156910	-1.171683963	1.396358572
-15	-40	1.84064272413235	0.3700961235	-1.158979126	1.381217537
-20	-40	1.84244443941667	0.4948315813	-1.140788335	1.359538596
-25	-40	1.84478683698156	0.6205760901	-1.116698727	1.330829720
-30	-40	1.84768236596058	0.7473537906	-1.086176492	1.294454737
-35	-40	1.85113595056094	0.8750025103	-1.048566666	1.249633091
-40	-40	1.85513915337143	1.003103799	-1.003103799	1.195452556
-45	-40	1.85966246512673	1.130898687	-0.9489366709	1.130898687
-
--45	-35	1.85645505426541	-1.176411943	-0.8237325106	1.176411943
--40	-35	1.85113595117534	-1.048566666	-0.8750025106	1.249633091
--35	-35	1.84633466093703	-0.9186305394	-0.9186305394	1.311940374
--30	-35	1.84211774446726	-0.7875699142	-0.9551608793	1.364111106
--25	-35	1.83852374964205	-0.6560421639	-0.9851128552	1.406886961
--20	-35	1.83557380463960	-0.5244570322	-1.008952746	1.440933853
--15	-35	1.83327664713672	-0.3930318981	-1.027074929	1.466815013
--10	-35	1.83163426074305	-0.2618414643	-1.039791905	1.484976736
--5	-35	1.83064528548755	-0.1308603477	-1.047328856	1.495740618
-0	-35	1.83031046294324	0.000000000	-1.049822953	1.499302557
-5	-35	1.83063327131525	0.1308594889	-1.047321983	1.495730802
-10	-35	1.83161022595729	0.2618380284	-1.039778261	1.484957250
-15	-35	1.83324378292787	0.3930248525	-1.027056517	1.466788718
-20	-35	1.83553823701760	0.5244468698	-1.008933196	1.440905933
-25	-35	1.83849151714880	0.6560306623	-0.9850955845	1.406862295
-30	-35	1.84209699228346	0.7875610419	-0.9551501191	1.364095739
-35	-35	1.84633466041281	0.9186305391	-0.9186305391	1.311940373
-40	-35	1.85116510583357	1.048583181	-0.8750162915	1.249652773
-45	-35	1.85652104396506	1.176453760	-0.8237617910	1.176453760
-
--45	-30	1.85377375244437	-1.213579792	-0.7006606194	1.213579792
--40	-30	1.84768236640608	-1.086176492	-0.7473537908	1.294454737
--35	-30	1.84209699270382	-0.9551501193	-0.7875610421	1.364095739
--30	-30	1.83712078678548	-0.8215853924	-0.8215853924	1.423027642
--25	-30	1.83282770215568	-0.6863088979	-0.8497407667	1.471794181
--20	-30	1.82926776894987	-0.5499265105	-0.8723246820	1.510910670
--15	-30	1.82647298887793	-0.4128644007	-0.8895991465	1.540830920
--10	-30	1.82446378602127	-0.2754097164	-0.9017784643	1.561926117
--5	-30	1.82325169754529	-0.1377482303	-0.9090203762	1.574469477
-0	-30	1.82284346613369	0.000000000	-0.9114217331	1.578628749
-5	-30	1.82324304985813	0.1377475769	-0.9090160648	1.574462009
-10	-30	1.82444790406479	0.2754073189	-0.9017706143	1.561912521
-15	-30	1.82645266456968	0.4128598065	-0.8895892474	1.540813774
-20	-30	1.82924807134959	0.5499205889	-0.8723152888	1.510894400
-25	-30	1.83281443491759	0.6863039300	-0.8497346157	1.471783527
-30	-30	1.83712078643959	0.8215853923	-0.8215853923	1.423027642
-35	-30	1.84211774407734	0.9551608791	-0.7875699140	1.364111106
-40	-30	1.84773022319357	1.086204625	-0.7473731480	1.294488265
-45	-30	1.85385328992194	1.213631861	-0.7006906818	1.213631861
-
--45	-25	1.85156096415992	-1.243402683	-0.5798081932	1.243402683
--40	-25	1.84478683731980	-1.116698727	-0.6205760902	1.330829720
--35	-25	1.83849151747766	-0.9850955846	-0.6560306624	1.406862296
--30	-25	1.83281443520395	-0.8497346158	-0.6863039301	1.471783528
--25	-25	1.82786442415325	-0.7115540253	-0.7115540253	1.525932532
--20	-25	1.82372251627301	-0.5713090039	-0.7319438202	1.569658588
--15	-25	1.82044787573844	-0.4295996138	-0.7476252793	1.603287585
--10	-25	1.81808200575953	-0.2869009897	-0.7587274965	1.627096367
--5	-25	1.81665083714724	-0.1435945609	-0.7653476546	1.641293342
-0	-25	1.81616972946466	0.000000000	-0.7675464941	1.646008768
-5	-25	1.81664539346247	0.1435941306	-0.7653453612	1.641288424
-10	-25	1.81807302593359	0.2868995727	-0.7587237490	1.627088331
-15	-25	1.82043740645811	0.4295971432	-0.7476209798	1.603278365
-20	-25	1.82371457780540	0.5713065171	-0.7319406341	1.569651755
-25	-25	1.82786442392470	0.7115540252	-0.7115540252	1.525932531
-30	-25	1.83282770189290	0.8497407666	-0.6863088978	1.471794181
-35	-25	1.83852374936401	0.9851128550	-0.6560421638	1.406886960
-40	-25	1.84484315109167	1.116732816	-0.6205950338	1.330870345
-45	-25	1.85164421821079	1.243458591	-0.5798342638	1.243458591
-
--45	-20	1.84979453037932	-1.266722792	-0.4610493913	1.266722792
--40	-20	1.84244443967856	-1.140788335	-0.4948315814	1.359538596
--35	-20	1.83553823727318	-1.008933196	-0.5244468699	1.440905933
--30	-20	1.82924807157776	-0.8723152889	-0.5499205890	1.510894401
--25	-20	1.82371457799305	-0.7319406342	-0.5713065172	1.569651755
--20	-20	1.81904999164073	-0.5886729129	-0.5886729129	1.617365536
--15	-20	1.81533998173744	-0.4432495393	-0.6020904083	1.654229801
--10	-20	1.81264783115298	-0.2963035005	-0.6116230996	1.680420655
--5	-20	1.81101504207052	-0.1483873641	-0.6173209362	1.696075333
-0	-20	1.81046628190918	0.000000000	-0.6192159372	1.701281805
-5	-20	1.81101164610629	0.1483870859	-0.6173197786	1.696072152
-10	-20	1.81264399721840	0.2963028738	-0.6116218060	1.680417101
-15	-20	1.81533664600020	0.4432487249	-0.6020893019	1.654226762
-20	-20	1.81904999149775	0.5886729128	-0.5886729128	1.617365535
-25	-20	1.82372251610347	0.7319438201	-0.5713090039	1.569658588
-30	-20	1.82926776876238	0.8723246819	-0.5499265105	1.510910670
-35	-20	1.83557380444905	1.008952746	-0.5244570321	1.440933853
-40	-20	1.84249967713024	1.140822536	-0.4948464167	1.359579356
-45	-20	1.84987181980492	1.266775719	-0.4610686552	1.266775719
-
--45	-15	1.84845146413985	-1.284205353	-0.3441017871	1.284205353
--40	-15	1.84064272433330	-1.158979126	-0.3700961236	1.381217537
--35	-15	1.83324378312275	-1.027056517	-0.3930248525	1.466788718
--30	-15	1.82645266474487	-0.8895892474	-0.4128598065	1.540813774
--25	-15	1.82043740660443	-0.7476209799	-0.4295971432	1.603278365
--20	-15	1.81533664611332	-0.6020893020	-0.4432487249	1.654226762
--15	-15	1.81126001399703	-0.4538343935	-0.4538343935	1.693733015
--10	-15	1.80829048462556	-0.3036136323	-0.4613759463	1.721878473
--5	-15	1.80648495900778	-0.1521194192	-0.4658920811	1.738732917
-0	-15	1.80587850720892	0.000000000	-0.4673957508	1.744344689
-5	-15	1.80648364763792	0.1521193087	-0.4658917429	1.738731655
-10	-15	1.80828929052385	0.3036134318	-0.4613756416	1.721877336
-15	-15	1.81126001391699	0.4538343934	-0.4538343934	1.693733015
-20	-15	1.81533998163838	0.6020904083	-0.4432495393	1.654229801
-25	-15	1.82044787562418	0.7476252793	-0.4295996137	1.603287585
-30	-15	1.82647298875584	0.8895991464	-0.4128644007	1.540830920
-35	-15	1.83327664701687	1.027074929	-0.3930318981	1.466815013
-40	-15	1.84069051240305	1.159009216	-0.3701057323	1.381253397
-45	-15	1.84851533785258	1.284249729	-0.3441136777	1.284249729
-
--45	-10	1.84751203673107	-1.296350871	-0.2285816350	1.296350871
--40	-10	1.83937020162024	-1.171683963	-0.2462156911	1.396358572
--35	-10	1.83161022609870	-1.039778261	-0.2618380285	1.484957250
--30	-10	1.82444790419096	-0.9017706144	-0.2754073189	1.561912521
--25	-10	1.81807302603871	-0.7587237491	-0.2868995727	1.627088331
--20	-10	1.81264399730015	-0.6116218060	-0.2963028738	1.680417101
--15	-10	1.80828929058216	-0.4613756416	-0.3036134318	1.721877336
--10	-10	1.80510854593505	-0.3088321758	-0.3088321758	1.751474304
--5	-10	1.80317113326386	-0.1547868838	-0.3119616048	1.769222178
-0	-10	1.80252021456825	0.000000000	-0.3130043505	1.775135882
-5	-10	1.80317076276028	0.1547868520	-0.3119615407	1.769221814
-10	-10	1.80510854589894	0.3088321758	-0.3088321758	1.751474304
-15	-10	1.80829048457682	0.4613759463	-0.3036136323	1.721878473
-20	-10	1.81264783109465	0.6116230996	-0.2963035005	1.680420655
-25	-10	1.81808200569524	0.7587274965	-0.2869009897	1.627096367
-30	-10	1.82446378595612	0.9017784643	-0.2754097163	1.561926117
-35	-10	1.83163426068326	1.039791905	-0.2618414643	1.484976736
-40	-10	1.83940444166111	1.171705774	-0.2462202744	1.396384566
-45	-10	1.84755626899475	1.296381908	-0.2285871076	1.296381908
-
--45	-5	1.84695895882779	-1.303505242	-0.1140419315	1.303505242
--40	-5	1.83861509589653	-1.179193673	-0.1229485447	1.405308296
--35	-5	1.83063327140701	-1.047321983	-0.1308594889	1.495730802
--30	-5	1.82324304993766	-0.9090160648	-0.1377475769	1.574462009
--25	-5	1.81664539352694	-0.7653453612	-0.1435941306	1.641288424
--20	-5	1.81101164615555	-0.6173197786	-0.1483870859	1.696072152
--15	-5	1.80648364767240	-0.4658917429	-0.1521193088	1.738731655
--10	-5	1.80317076278118	-0.3119615407	-0.1547868520	1.769221814
--5	-5	1.80115069161593	-0.1563877796	-0.1563877796	1.787520500
-0	-5	1.80047177518783	0.000000000	-0.1569214549	1.793620437
-5	-5	1.80115069160677	0.1563877796	-0.1563877796	1.787520500
-10	-5	1.80317113324836	0.3119616048	-0.1547868838	1.769222178
-15	-5	1.80648495898851	0.4658920811	-0.1521194192	1.738732917
-20	-5	1.81101504205017	0.6173209362	-0.1483873641	1.696075333
-25	-5	1.81665083712861	0.7653476546	-0.1435945609	1.641293342
-30	-5	1.82325169753129	0.9090203762	-0.1377482303	1.574469477
-35	-5	1.83064528548123	1.047328856	-0.1308603477	1.495740618
-40	-5	1.83863283576080	1.179205051	-0.1229497310	1.405321855
-45	-5	1.84698192163933	1.303521448	-0.1140433494	1.303521448
-
--45	0	1.84678333868516	-1.305873022	0.000000000	1.305873022
--40	0	1.83836983485708	-1.181681352	0.000000000	1.408272996
--35	0	1.83031046298663	-1.049822953	0.000000000	1.499302557
--30	0	1.82284346616726	-0.9114217331	0.000000000	1.578628749
--25	0	1.81616972948856	-0.7675464941	0.000000000	1.646008768
--20	0	1.81046628192460	-0.6192159372	0.000000000	1.701281805
--15	0	1.80587850721743	-0.4673957508	0.000000000	1.744344689
--10	0	1.80252021457177	-0.3130043505	0.000000000	1.775135882
--5	0	1.80047177518860	-0.1569214549	0.000000000	1.793620437
-0	0	1.79978319306199	0.000000000	0.000000000	1.799783193
-5	0	1.80047177518860	0.1569214549	0.000000000	1.793620437
-10	0	1.80252021457176	0.3130043505	0.000000000	1.775135882
-15	0	1.80587850721743	0.4673957508	0.000000000	1.744344689
-20	0	1.81046628192459	0.6192159372	0.000000000	1.701281805
-25	0	1.81616972948855	0.7675464941	0.000000000	1.646008768
-30	0	1.82284346616725	0.9114217331	0.000000000	1.578628749
-35	0	1.83031046298662	1.049822953	0.000000000	1.499302557
-40	0	1.83836983485707	1.181681352	0.000000000	1.408272996
-45	0	1.84678333868515	1.305873022	0.000000000	1.305873022
-
--45	5	1.84698192163933	-1.303521448	0.1140433494	1.303521448
--40	5	1.83863283576080	-1.179205051	0.1229497310	1.405321855
--35	5	1.83064528548124	-1.047328856	0.1308603477	1.495740618
--30	5	1.82325169753129	-0.9090203762	0.1377482303	1.574469477
--25	5	1.81665083712860	-0.7653476546	0.1435945609	1.641293342
--20	5	1.81101504205015	-0.6173209362	0.1483873641	1.696075333
--15	5	1.80648495898848	-0.4658920811	0.1521194192	1.738732917
--10	5	1.80317113324829	-0.3119616048	0.1547868838	1.769222178
--5	5	1.80115069160666	-0.1563877796	0.1563877796	1.787520500
-0	5	1.80047177518761	0.000000000	0.1569214549	1.793620437
-5	5	1.80115069161581	0.1563877796	0.1563877796	1.787520500
-10	5	1.80317076278110	0.3119615407	0.1547868520	1.769221814
-15	5	1.80648364767235	0.4658917429	0.1521193088	1.738731655
-20	5	1.81101164615552	0.6173197786	0.1483870859	1.696072152
-25	5	1.81664539352692	0.7653453612	0.1435941306	1.641288424
-30	5	1.82324304993765	0.9090160648	0.1377475769	1.574462009
-35	5	1.83063327140700	1.047321983	0.1308594889	1.495730802
-40	5	1.83861509589652	1.179193673	0.1229485447	1.405308296
-45	5	1.84695895882779	1.303505242	0.1140419315	1.303505242
-
--45	10	1.84755626899475	-1.296381908	0.2285871076	1.296381908
--40	10	1.83940444166111	-1.171705774	0.2462202744	1.396384566
--35	10	1.83163426068326	-1.039791905	0.2618414643	1.484976736
--30	10	1.82446378595611	-0.9017784643	0.2754097163	1.561926117
--25	10	1.81808200569522	-0.7587274965	0.2869009897	1.627096367
--20	10	1.81264783109461	-0.6116230996	0.2963035005	1.680420655
--15	10	1.80829048457675	-0.4613759463	0.3036136323	1.721878473
--10	10	1.80510854589884	-0.3088321758	0.3088321758	1.751474304
--5	10	1.80317076276011	-0.1547868520	0.3119615407	1.769221814
-0	10	1.80252021456799	0.000000000	0.3130043505	1.775135882
-5	10	1.80317113326368	0.1547868838	0.3119616048	1.769222178
-10	10	1.80510854593493	0.3088321758	0.3088321758	1.751474304
-15	10	1.80828929058208	0.4613756416	0.3036134318	1.721877336
-20	10	1.81264399730009	0.6116218060	0.2963028738	1.680417101
-25	10	1.81807302603867	0.7587237491	0.2868995727	1.627088331
-30	10	1.82444790419093	0.9017706144	0.2754073189	1.561912521
-35	10	1.83161022609868	1.039778261	0.2618380285	1.484957250
-40	10	1.83937020162023	1.171683963	0.2462156911	1.396358572
-45	10	1.84751203673106	1.296350871	0.2285816350	1.296350871
-
--45	15	1.84851533785258	-1.284249729	0.3441136777	1.284249729
--40	15	1.84069051240304	-1.159009216	0.3701057323	1.381253397
--35	15	1.83327664701686	-1.027074929	0.3930318981	1.466815013
--30	15	1.82647298875582	-0.8895991464	0.4128644007	1.540830920
--25	15	1.82044787562415	-0.7476252793	0.4295996137	1.603287585
--20	15	1.81533998163832	-0.6020904083	0.4432495393	1.654229801
--15	15	1.81126001391691	-0.4538343934	0.4538343934	1.693733015
--10	15	1.80828929052371	-0.3036134318	0.4613756416	1.721877336
--5	15	1.80648364763773	-0.1521193087	0.4658917429	1.738731655
-0	15	1.80587850720870	0.000000000	0.4673957508	1.744344689
-5	15	1.80648495900759	0.1521194192	0.4658920811	1.738732917
-10	15	1.80829048462542	0.3036136323	0.4613759463	1.721878473
-15	15	1.81126001399693	0.4538343935	0.4538343935	1.693733015
-20	15	1.81533664611325	0.6020893020	0.4432487249	1.654226762
-25	15	1.82043740660438	0.7476209799	0.4295971432	1.603278365
-30	15	1.82645266474484	0.8895892474	0.4128598065	1.540813774
-35	15	1.83324378312272	1.027056517	0.3930248525	1.466788718
-40	15	1.84064272433329	1.158979126	0.3700961236	1.381217537
-45	15	1.84845146413984	1.284205353	0.3441017871	1.284205353
-
--45	20	1.84987181980491	-1.266775719	0.4610686552	1.266775719
--40	20	1.84249967713024	-1.140822536	0.4948464167	1.359579356
--35	20	1.83557380444904	-1.008952746	0.5244570321	1.440933853
--30	20	1.82926776876236	-0.8723246819	0.5499265105	1.510910670
--25	20	1.82372251610343	-0.7319438201	0.5713090039	1.569658588
--20	20	1.81904999149768	-0.5886729128	0.5886729128	1.617365535
--15	20	1.81533664600010	-0.4432487249	0.6020893019	1.654226762
--10	20	1.81264399721825	-0.2963028738	0.6116218060	1.680417101
--5	20	1.81101164610606	-0.1483870859	0.6173197786	1.696072152
-0	20	1.81046628190883	0.000000000	0.6192159372	1.701281805
-5	20	1.81101504207029	0.1483873641	0.6173209362	1.696075333
-10	20	1.81264783115282	0.2963035005	0.6116230996	1.680420655
-15	20	1.81533998173733	0.4432495393	0.6020904083	1.654229801
-20	20	1.81904999164066	0.5886729129	0.5886729129	1.617365536
-25	20	1.82371457799300	0.7319406342	0.5713065172	1.569651755
-30	20	1.82924807157773	0.8723152889	0.5499205890	1.510894401
-35	20	1.83553823727315	1.008933196	0.5244468699	1.440905933
-40	20	1.84244443967854	1.140788335	0.4948315814	1.359538596
-45	20	1.84979453037931	1.266722792	0.4610493913	1.266722792
-
--45	25	1.85164421821079	-1.243458591	0.5798342638	1.243458591
--40	25	1.84484315109167	-1.116732816	0.6205950338	1.330870345
--35	25	1.83852374936400	-0.9851128550	0.6560421638	1.406886960
--30	25	1.83282770189287	-0.8497407666	0.6863088978	1.471794181
--25	25	1.82786442392466	-0.7115540252	0.7115540252	1.525932531
--20	25	1.82371457780534	-0.5713065171	0.7319406341	1.569651755
--15	25	1.82043740645802	-0.4295971432	0.7476209798	1.603278365
--10	25	1.81807302593345	-0.2868995727	0.7587237490	1.627088331
--5	25	1.81664539346226	-0.1435941306	0.7653453612	1.641288424
-0	25	1.81616972946435	0.000000000	0.7675464941	1.646008768
-5	25	1.81665083714703	0.1435945609	0.7653476546	1.641293342
-10	25	1.81808200575939	0.2869009897	0.7587274965	1.627096367
-15	25	1.82044787573834	0.4295996138	0.7476252793	1.603287585
-20	25	1.82372251627294	0.5713090039	0.7319438202	1.569658588
-25	25	1.82786442415320	0.7115540253	0.7115540253	1.525932532
-30	25	1.83281443520391	0.8497346158	0.6863039301	1.471783528
-35	25	1.83849151747763	0.9850955846	0.6560306624	1.406862296
-40	25	1.84478683731978	1.116698727	0.6205760902	1.330829720
-45	25	1.85156096415991	1.243402683	0.5798081932	1.243402683
-
--45	30	1.85385328992193	-1.213631861	0.7006906818	1.213631861
--40	30	1.84773022319357	-1.086204625	0.7473731480	1.294488265
--35	30	1.84211774407732	-0.9551608791	0.7875699140	1.364111106
--30	30	1.83712078643957	-0.8215853923	0.8215853923	1.423027642
--25	30	1.83281443491756	-0.6863039300	0.8497346157	1.471783527
--20	30	1.82924807134954	-0.5499205889	0.8723152888	1.510894400
--15	30	1.82645266456961	-0.4128598065	0.8895892474	1.540813774
--10	30	1.82444790406470	-0.2754073189	0.9017706143	1.561912521
--5	30	1.82324304985799	-0.1377475769	0.9090160648	1.574462009
-0	30	1.82284346613348	0.000000000	0.9114217331	1.578628749
-5	30	1.82325169754515	0.1377482303	0.9090203762	1.574469477
-10	30	1.82446378602117	0.2754097164	0.9017784643	1.561926117
-15	30	1.82647298887786	0.4128644007	0.8895991465	1.540830920
-20	30	1.82926776894982	0.5499265105	0.8723246820	1.510910670
-25	30	1.83282770215564	0.6863088979	0.8497407667	1.471794181
-30	30	1.83712078678545	0.8215853924	0.8215853924	1.423027642
-35	30	1.84209699270380	0.9551501193	0.7875610421	1.364095739
-40	30	1.84768236640606	1.086176492	0.7473537908	1.294454737
-45	30	1.85377375244435	1.213579792	0.7006606194	1.213579792
-
--45	35	1.85652104396505	-1.176453760	0.8237617910	1.176453760
--40	35	1.85116510583356	-1.048583181	0.8750162915	1.249652773
--35	35	1.84633466041280	-0.9186305391	0.9186305391	1.311940373
--30	35	1.84209699228345	-0.7875610419	0.9551501191	1.364095739
--25	35	1.83849151714878	-0.6560306623	0.9850955845	1.406862295
--20	35	1.83553823701758	-0.5244468698	1.008933196	1.440905933
--15	35	1.83324378292784	-0.3930248525	1.027056517	1.466788718
--10	35	1.83161022595727	-0.2618380284	1.039778261	1.484957250
--5	35	1.83063327131524	-0.1308594889	1.047321983	1.495730802
-0	35	1.83031046294326	0.000000000	1.049822953	1.499302557
-5	35	1.83064528548754	0.1308603477	1.047328856	1.495740618
-10	35	1.83163426074303	0.2618414643	1.039791905	1.484976736
-15	35	1.83327664713669	0.3930318981	1.027074929	1.466815013
-20	35	1.83557380463957	0.5244570322	1.008952746	1.440933853
-25	35	1.83852374964202	0.6560421639	0.9851128552	1.406886961
-30	35	1.84211774446724	0.7875699142	0.9551608793	1.364111106
-35	35	1.84633466093702	0.9186305394	0.9186305394	1.311940374
-40	35	1.85113595117533	1.048566666	0.8750025106	1.249633091
-45	35	1.85645505426540	1.176411943	0.8237325106	1.176411943
-
--45	40	1.85966246512673	-1.130898687	0.9489366709	1.130898687
--40	40	1.85513915337142	-1.003103799	1.003103799	1.195452556
--35	40	1.85113595056093	-0.8750025103	1.048566666	1.249633091
--30	40	1.84768236596057	-0.7473537906	1.086176492	1.294454737
--25	40	1.84478683698156	-0.6205760901	1.116698727	1.330829720
--20	40	1.84244443941667	-0.4948315813	1.140788335	1.359538596
--15	40	1.84064272413237	-0.3700961235	1.158979126	1.381217537
--10	40	1.83937020147209	-0.2462156910	1.171683963	1.396358572
--5	40	1.83861509579697	-0.1229485447	1.179193673	1.405308296
-0	40	1.83836983480483	0.000000000	1.181681352	1.408272996
-5	40	1.83863283575690	0.1229497310	1.179205051	1.405321855
-10	40	1.83940444170912	0.2462202744	1.171705774	1.396384566
-15	40	1.84069051250918	0.3701057323	1.159009216	1.381253397
-20	40	1.84249967730485	0.4948464167	1.140822536	1.359579356
-25	40	1.84484315135310	0.6205950339	1.116732816	1.330870345
-30	40	1.84773022357668	0.7473731482	1.086204626	1.294488265
-35	40	1.85116510640798	0.8750162918	1.048583181	1.249652773
-40	40	1.85513915423793	1.003103800	1.003103800	1.195452557
-45	40	1.85962301591999	1.130874697	0.9489165410	1.130874697
-
--45	45	1.86328172267872	-1.075766204	1.075766204	1.075766204
--40	45	1.85962301505228	-0.9489165405	1.130874696	1.130874696
--35	45	1.85645505372829	-0.8237325103	1.176411943	1.176411943
--30	45	1.85377375204839	-0.7006606193	1.213579791	1.213579791
--25	45	1.85156096384959	-0.5798081931	1.243402683	1.243402683
--20	45	1.84979453013283	-0.4610493913	1.266722792	1.266722792
--15	45	1.84845146394644	-0.3441017871	1.284205352	1.284205352
--10	45	1.84751203658479	-0.2285816350	1.296350871	1.296350871
--5	45	1.84695895872544	-0.1140419315	1.303505242	1.303505242
-0	45	1.84678333862562	0.000000000	1.305873022	1.305873022
-5	45	1.84698192162344	0.1140433494	1.303521448	1.303521448
-10	45	1.84755626902572	0.2285871076	1.296381908	1.296381908
-15	45	1.84851533793540	0.3441136777	1.284249729	1.284249729
-20	45	1.84987181994698	0.4610686553	1.266775719	1.266775719
-25	45	1.85164421842460	0.5798342639	1.243458592	1.243458592
-30	45	1.85385329023145	0.7006906819	1.213631861	1.213631861
-35	45	1.85652104442878	0.8237617912	1.176453760	1.176453760
-40	45	1.85966246594113	0.9489366713	1.130898687	1.130898687
-45	45	1.86328172464797	1.075766205	1.075766205	1.075766205
-
-
-### +x patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = drho = dnu
-# dpy = dsigma = dphi
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-45	1.86328159999823	1.075766133	-1.075766133	1.075766133
-45	-40	1.85966235052261	1.130898617	-0.9489366124	1.130898617
-45	-35	1.85652102322259	1.176453747	-0.8237617818	1.176453747
-45	-30	1.85385319941753	1.213631802	-0.7006906476	1.213631802
-45	-25	1.85164418879264	1.243458572	-0.5798342546	1.243458572
-45	-20	1.84987180439140	1.266775709	-0.4610686514	1.266775709
-45	-15	1.84851533498728	1.284249727	-0.3441136771	1.284249727
-45	-10	1.84755626773955	1.296381907	-0.2285871075	1.296381907
-45	-5	1.84698192166643	1.303521449	-0.1140433494	1.303521449
-45	0	1.84678333880526	1.305873022	0.000000000	1.305873022
-45	5	1.84695895914492	1.303505243	0.1140419316	1.303505243
-45	10	1.84751203797542	1.296350872	0.2285816352	1.296350872
-45	15	1.84845146001312	1.284205350	0.3441017864	1.284205350
-45	20	1.84979452446735	1.266722788	0.4610493899	1.266722788
-45	25	1.85156092756266	1.243402658	0.5798081817	1.243402658
-45	30	1.85377369917968	1.213579757	0.7006605993	1.213579757
-45	35	1.85645499513534	1.176411906	0.8237324843	1.176411906
-45	40	1.85962288577640	1.130874618	0.9489164746	1.130874618
-45	45	1.86328163328929	1.075766153	1.075766153	1.075766153
-
-50	-45	1.87060988889035	1.137556038	-1.137556038	0.9545228523
-50	-40	1.86741119820860	1.203360668	-1.009739493	1.009739493
-50	-35	1.86456567115243	1.258698996	-0.8813505255	1.056173864
-50	-30	1.86209726823147	1.304553571	-0.7531843555	1.094650420
-50	-25	1.86001656955726	1.341816453	-0.6256992879	1.125917691
-50	-20	1.85832156495172	1.371254317	-0.4990957550	1.150618992
-50	-15	1.85700786287812	1.393497930	-0.3733866450	1.169283599
-50	-10	1.85606912608598	1.409035567	-0.2484509873	1.182321225
-50	-5	1.85550121217693	1.418214858	-0.1240777225	1.190023564
-50	0	1.85530055704316	1.421242682	0.000000000	1.192564210
-50	5	1.85546771137261	1.418189252	0.1240754823	1.190002079
-50	10	1.85600465061920	1.408986621	0.2484423567	1.182280154
-50	15	1.85691717302564	1.393429876	0.3733684101	1.169226495
-50	20	1.85821390607658	1.371174876	0.4990668407	1.150552332
-50	25	1.85990162670485	1.341733533	0.6256606217	1.125848113
-50	30	1.86198888755596	1.304477642	0.7531405175	1.094586708
-50	35	1.86447805519057	1.258639850	0.8813091109	1.056124234
-50	40	1.86735971177531	1.203327490	1.009711653	1.009711653
-50	45	1.87060987635224	1.137556031	1.137556031	0.9545228459
-
-55	-45	1.87704512107501	1.189459606	-1.189459606	0.8328685828
-55	-40	1.87437677116274	1.265322105	-1.061731312	0.8859880764
-55	-35	1.87195067895903	1.330142214	-0.9313756050	0.9313756050
-55	-30	1.86980497410130	1.384613844	-0.7994071755	0.9695170510
-55	-25	1.86796211049966	1.429413972	-0.6665466819	1.000886439
-55	-20	1.86643771449517	1.465162164	-0.5332754161	1.025917592
-55	-15	1.86524024283896	1.492389267	-0.3998844988	1.044982214
-55	-10	1.86437431308945	1.511520363	-0.2665218219	1.058377952
-55	-5	1.86384450918115	1.522866260	-0.1332335338	1.066322435
-55	0	1.86365195969291	1.526614313	0.000000000	1.068946850
-55	5	1.86379921540468	1.522829252	0.1332302960	1.066296522
-55	10	1.86428766452227	1.511450114	0.2665094350	1.058328763
-55	15	1.86511882209663	1.492292117	0.3998584676	1.044914190
-55	20	1.86629481215864	1.465049985	0.5332345863	1.025839043
-55	25	1.86781218517539	1.429299245	0.6664931839	1.000806106
-55	30	1.86966490099690	1.384510118	0.7993472893	0.9694444214
-55	35	1.87184019070863	1.330063705	0.9313206324	0.9313206324
-55	40	1.87431335031288	1.265279292	1.061695387	0.8859580984
-55	45	1.87704507626860	1.189459578	1.189459578	0.8328685629
-
-60	-45	1.88255927952036	1.232424343	-1.232424343	0.7115405260
-60	-40	1.88047074853886	1.317425718	-1.105451434	0.7606160929
-60	-35	1.87853447098898	1.391078145	-0.9740434033	0.8031393414
-60	-30	1.87678742187442	1.453753286	-0.8393248509	0.8393248509
-60	-25	1.87526005417533	1.505868136	-0.7021978441	0.8694133738
-60	-20	1.87397879629190	1.547840402	-0.5633678337	0.8936460727
-60	-15	1.87295808808825	1.580046216	-0.4233721075	0.9122401080
-60	-10	1.87221063920297	1.602802268	-0.2826172846	0.9253783210
-60	-5	1.87174628735122	1.616346992	-0.1414120382	0.9331983712
-60	0	1.87157061596759	1.620827698	0.000000000	0.9357853080
-60	5	1.87168787079902	1.616296547	0.1414076247	0.9331692464
-60	10	1.87209982850445	1.602707403	0.2826005573	0.9253235506
-60	15	1.87280427284858	1.579916456	0.4233373384	0.9121651909
-60	20	1.87379936111937	1.547692195	0.5633138907	0.8935605053
-60	25	1.87507556742073	1.505719990	0.7021287624	0.8693278416
-60	30	1.87661601726600	1.453620516	0.8392481965	0.8392481965
-60	35	1.87840062105387	1.390979027	0.9739740005	0.8030821159
-60	40	1.88039609410123	1.317373416	1.105407548	0.7605858965
-60	45	1.88255930149840	1.232424357	1.232424357	0.7115405343
-
-65	-45	1.88715875814552	1.267308130	-1.267308130	0.5909554862
-65	-40	1.88564434309246	1.360304336	-1.141430866	0.6343203292
-65	-35	1.88421310257654	1.441849661	-1.009594002	0.6723455388
-65	-30	1.88289722166767	1.512000922	-0.8729541391	0.7050576088
-65	-25	1.88172952754674	1.570900043	-0.7325227201	0.7325227201
-65	-20	1.88073317165856	1.618727053	-0.5891684647	0.7548248213
-65	-15	1.87992625523473	1.655670820	-0.4436356591	0.7720519826
-65	-10	1.87932563799467	1.681906486	-0.2965654926	0.7842858749
-65	-5	1.87894505470202	1.697574429	-0.1485185180	0.7915919566
-65	0	1.87879319548642	1.702764903	0.000000000	0.7940123144
-65	5	1.87887404067498	1.697510270	0.1485129048	0.7915620387
-65	10	1.87919149567413	1.681786435	0.2965443243	0.7842298942
-65	15	1.87974044175708	1.655507172	0.4435918098	0.7719756724
-65	20	1.88051648211085	1.618540551	0.5891005834	0.7547378538
-65	25	1.88150868023660	1.570715676	0.7324367483	0.7324367483
-65	30	1.88269715374651	1.511840263	0.8728613830	0.7049826927
-65	35	1.88405799573092	1.441730969	1.009510893	0.6722901918
-65	40	1.88555881525608	1.360242636	1.141379094	0.6342915581
-65	45	1.88715876676222	1.267308136	1.267308136	0.5909554889
-
-70	-45	1.89086494331418	1.294847444	-1.294847444	0.4712859277
-70	-40	1.88987416051914	1.394536958	-1.170155447	0.5075699431
-70	-35	1.88891916741866	1.482810208	-1.038274885	0.5396987787
-70	-30	1.88802503013117	1.559442096	-0.9003443137	0.5675905049
-70	-25	1.88721649818392	1.624307183	-0.7574268788	0.5911994660
-70	-20	1.88651219900393	1.677347971	-0.6105047340	0.6105047340
-70	-15	1.88593055582226	1.718555510	-0.4604855611	0.6255030517
-70	-10	1.88548791768442	1.747947278	-0.3082102660	0.6362007803
-70	-5	1.88519889619453	1.765550960	-0.1544656938	0.6426079963
-70	0	1.88507278309541	1.771388984	0.000000000	0.6447328635
-70	5	1.88511650268008	1.765473795	0.1544589428	0.6425799109
-70	10	1.88533288666911	1.747803556	0.3081849239	0.6361484698
-70	15	1.88571686095851	1.718360781	0.4604333835	0.6254321759
-70	20	1.88626284172153	1.677126261	0.6104240381	0.6104240381
-70	25	1.88696304960837	1.624089043	0.7573251582	0.5911200694
-70	30	1.88779869407298	1.559255150	0.9002363806	0.5675224623
-70	35	1.88874627998618	1.482674490	1.038179855	0.5396493816
-70	40	1.88977946208999	1.394467080	1.170096812	0.5075445096
-70	45	1.89086494350536	1.294847444	1.294847444	0.4712859277
-
-75	-45	1.89370778536794	1.315647027	-1.315647027	0.3525265585
-75	-40	1.89315551664176	1.420623114	-1.192044331	0.3806548163
-75	-35	1.89260966326240	1.514287695	-1.060315659	0.4057521649
-75	-30	1.89208660680352	1.596183226	-0.9215568151	0.4276960063
-75	-25	1.89159987353004	1.665951898	-0.7768461282	0.4463904657
-75	-20	1.89116359067753	1.723324117	-0.6272386825	0.4617633054
-75	-15	1.89079047477305	1.768102992	-0.4737617690	0.4737617690
-75	-10	1.89049650332738	1.800156147	-0.3174160983	0.4823503859
-75	-5	1.89029504939842	1.819399719	-0.1591768498	0.4875066853
-75	0	1.89019488025856	1.825788052	0.000000000	0.4892184340
-75	5	1.89020356080907	1.819311661	0.1591691458	0.4874830904
-75	10	1.89032439767682	1.799992266	0.3173872016	0.4823064741
-75	15	1.89055396499141	1.767881829	0.4737025084	0.4737025084
-75	20	1.89088801332284	1.723072997	0.6271472823	0.4616960180
-75	25	1.89132072207764	1.665706046	0.7767314857	0.4463245900
-75	30	1.89183834643485	1.595973791	0.9214358978	0.4276398884
-75	35	1.89242298292114	1.514138331	1.060211073	0.4057121429
-75	40	1.89305374653150	1.420546746	1.191980251	0.3806343534
-75	45	1.89370778191056	1.315647025	1.315647025	0.3525265579
-
-80	-45	1.89571521997077	1.330173784	-1.330173784	0.2345455271
-80	-40	1.89549223104347	1.438963632	-1.207433853	0.2537281126
-80	-35	1.89525980365458	1.536560425	-1.075911192	0.2709370604
-80	-30	1.89502461718349	1.622333348	-0.9366545953	0.2860611410
-80	-25	1.89479159456266	1.695747777	-0.7907401748	0.2990060856
-80	-20	1.89456853190842	1.756365489	-0.6392647585	0.3096946237
-80	-15	1.89436364621309	1.803838493	-0.4833370674	0.3180653951
-80	-10	1.89419149862630	1.837910382	-0.3240731884	0.3240731884
-80	-5	1.89406305961358	1.858402849	-0.1625891815	0.3276865633
-80	0	1.89398535313162	1.865211460	0.000000000	0.3288871051
-80	5	1.89396545790483	1.858307085	0.1625808033	0.3276696775
-80	10	1.89400801861182	1.837732353	0.3240417972	0.3240417972
-80	15	1.89411171756343	1.803598603	0.4832727891	0.3180230961
-80	20	1.89427410201443	1.756092537	0.6391654120	0.3096464949
-80	25	1.89449405207031	1.695481491	0.7906160034	0.2989591321
-80	30	1.89476027577905	1.622107045	0.9365239391	0.2860212376
-80	35	1.89506213192774	1.536400165	1.075798977	0.2709088022
-80	40	1.89538539109290	1.438882524	1.207365795	0.2537138111
-80	45	1.89571521613599	1.330173781	1.330173781	0.2345455267
-
-85	-45	1.89691030608248	1.338758783	-1.338758783	0.1171262167
-85	-40	1.89689064345491	1.449850033	-1.216568628	0.1268454417
-85	-35	1.89685384222647	1.549836750	-1.085207375	0.1355931459
-85	-30	1.89680006481985	1.637982188	-0.9456894574	0.1433048725
-85	-25	1.89672950829111	1.713642187	-0.7990844750	0.1499242647
-85	-20	1.89664288122379	1.776268629	-0.6465089090	0.1554033684
-85	-15	1.89654731415666	1.825417493	-0.4891191430	0.1597033368
-85	-10	1.89645564399189	1.860750387	-0.3281004976	0.1627945645
-85	-5	1.89637632865550	1.882025518	-0.1646558973	0.1646558973
-85	0	1.89631347443601	1.889097429	0.000000000	0.1652746093
-85	5	1.89627439600184	1.881924357	0.1646470468	0.1646470468
-85	10	1.89626586926986	1.860564185	0.3280676652	0.1627782740
-85	15	1.89628696421746	1.825166907	0.4890519988	0.1596814134
-85	20	1.89633710053163	1.775982255	0.6464046775	0.1553783140
-85	25	1.89641872057136	1.713361399	0.7989535414	0.1498996989
-85	30	1.89652597281521	1.637745496	0.9455528031	0.1432841647
-85	35	1.89664943180924	1.549669735	1.085090430	0.1355785340
-85	40	1.89678090916294	1.449766160	1.216498250	0.1268381038
-85	45	1.89691030284237	1.338758781	1.338758781	0.1171262165
-
-90	-45	1.89730625208891	1.341598117	-1.341598117	0.000000000
-90	-40	1.89735536857107	1.453458537	-1.219596522	0.000000000
-90	-35	1.89738510474208	1.554246887	-1.088295387	0.000000000
-90	-30	1.89739337747736	1.643190866	-0.9486966887	0.000000000
-90	-25	1.89737868283713	1.719609075	-0.8018668808	0.000000000
-90	-20	1.89733922026520	1.782915664	-0.6489282321	0.000000000
-90	-15	1.89728161444451	1.832633311	-0.4910526157	0.000000000
-90	-10	1.89721820691095	1.868395199	-0.3294484843	0.000000000
-90	-5	1.89715711322569	1.889937858	-0.1653481373	0.000000000
-90	0	1.89709966655808	1.897099667	0.000000000	0.000000000
-90	5	1.89705207951453	1.889833224	0.1653389830	0.000000000
-90	10	1.89702638833218	1.868206295	0.3294151753	0.000000000
-90	15	1.89701864279396	1.832379300	0.4909845537	0.000000000
-90	20	1.89702975967935	1.782624867	0.6488223903	0.000000000
-90	25	1.89706356235534	1.719323479	0.8017337051	0.000000000
-90	30	1.89711627175688	1.642950885	0.9485581359	0.000000000
-90	35	1.89717850296653	1.554077649	1.088176885	0.000000000
-90	40	1.89724473494197	1.453373786	1.219525408	0.000000000
-90	45	1.89730624994123	1.341598115	1.341598115	0.000000000
-
-
-### +y patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = 90 - dsigma = 90 - dphi
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
-45	45	1.86328160061173	1.075766134	1.075766134	1.075766134
-40	45	1.85966235106193	0.9489366127	1.130898617	1.130898617
-35	45	1.85652102363005	0.8237617820	1.176453747	1.176453747
-30	45	1.85385319971423	0.7006906477	1.213631802	1.213631802
-25	45	1.85164418900317	0.5798342547	1.243458572	1.243458572
-20	45	1.84987180453256	0.4610686514	1.266775709	1.266775709
-15	45	1.84851533506984	0.3441136772	1.284249727	1.284249727
-10	45	1.84755626777044	0.2285871075	1.296381907	1.296381907
-5	45	1.84698192165052	0.1140433494	1.303521448	1.303521448
-0	45	1.84678333874574	0.000000000	1.305873022	1.305873022
--5	45	1.84695895904260	-0.1140419316	1.303505242	1.303505242
--10	45	1.84751203782927	-0.2285816352	1.296350872	1.296350872
--15	45	1.84845145982007	-0.3441017863	1.284205350	1.284205350
--20	45	1.84979452422202	-0.4610493898	1.266722788	1.266722788
--25	45	1.85156092725631	-0.5798081816	1.243402658	1.243402658
--30	45	1.85377369879862	-0.7006605991	1.213579757	1.213579757
--35	45	1.85645499466050	-0.8237324841	1.176411905	1.176411905
--40	45	1.85962288519722	-0.9489164743	1.130874617	1.130874617
--45	45	1.86328163267527	-1.075766152	1.075766152	1.075766152
-
-45	50	1.87060988932468	1.137556039	1.137556039	0.9545228525
-40	50	1.86741119863610	1.009739493	1.203360668	1.009739493
-35	50	1.86456567151309	0.8813505257	1.258698997	1.056173864
-30	50	1.86209726851104	0.7531843556	1.304553571	1.094650421
-25	50	1.86001656976130	0.6256992880	1.341816453	1.125917691
-20	50	1.85832156508988	0.4990957551	1.371254317	1.150618992
-15	50	1.85700786295825	0.3733866450	1.393497930	1.169283599
-10	50	1.85606912611361	0.2484509873	1.409035567	1.182321225
-5	50	1.85550121215648	0.1240777225	1.418214858	1.190023564
-0	50	1.85530055697785	0.000000000	1.421242682	1.192564210
--5	50	1.85546771126383	-0.1240754823	1.418189252	1.190002079
--10	50	1.85600465046615	-0.2484423566	1.408986620	1.182280154
--15	50	1.85691717282583	-0.3733684100	1.393429876	1.169226495
--20	50	1.85821390582621	-0.4990668406	1.371174875	1.150552332
--25	50	1.85990162639872	-0.6256606216	1.341733533	1.125848113
--30	50	1.86198888718863	-0.7531405173	1.304477641	1.094586708
--35	50	1.86447805476267	-0.8813091106	1.258639850	1.056124234
--40	50	1.86735971131070	-1.009711653	1.203327490	1.009711653
--45	50	1.87060987591722	-1.137556030	1.137556030	0.9545228456
-
-45	55	1.87704512141691	1.189459607	1.189459607	0.8328685829
-40	55	1.87437677150173	1.061731312	1.265322106	0.8859880766
-35	55	1.87195067926009	0.9313756052	1.330142214	0.9313756052
-30	55	1.86980497434610	0.7994071756	1.384613844	0.9695170511
-25	55	1.86796211068373	0.6665466820	1.429413972	1.000886439
-20	55	1.86643771462127	0.5332754161	1.465162164	1.025917592
-15	55	1.86524024291121	0.3998844988	1.492389267	1.044982214
-10	55	1.86437431311144	0.2665218219	1.511520363	1.058377952
-5	55	1.86384450915637	0.1332335338	1.522866260	1.066322435
-0	55	1.86365195962395	0.000000000	1.526614313	1.068946850
--5	55	1.86379921529308	-0.1332302960	1.522829252	1.066296522
--10	55	1.86428766436820	-0.2665094350	1.511450114	1.058328763
--15	55	1.86511882189898	-0.3998584676	1.492292117	1.044914189
--20	55	1.86629481191593	-0.5332345862	1.465049985	1.025839043
--25	55	1.86781218488694	-0.6664931838	1.429299245	1.000806106
--30	55	1.86966490066475	-0.7993472892	1.384510118	0.9694444212
--35	55	1.87184019034307	-0.9313206322	1.330063705	0.9313206322
--40	55	1.87431334994014	-1.061695387	1.265279292	0.8859580982
--45	55	1.87704507592642	-1.189459578	1.189459578	0.8328685627
-
-45	60	1.88255927980672	1.232424343	1.232424343	0.7115405261
-40	60	1.88047074881888	1.105451434	1.317425718	0.7606160930
-35	60	1.87853447124083	0.9740434035	1.391078145	0.8031393416
-30	60	1.87678742208345	0.8393248510	1.453753286	0.8393248510
-25	60	1.87526005433567	0.7021978442	1.505868136	0.8694133739
-20	60	1.87397879640226	0.5633678337	1.547840402	0.8936460727
-15	60	1.87295808814993	0.4233721075	1.580046216	0.9122401080
-10	60	1.87221063921813	0.2826172846	1.602802268	0.9253783210
-5	60	1.87174628732223	0.1414120382	1.616346992	0.9331983711
-0	60	1.87157061589654	0.000000000	1.620827698	0.9357853079
--5	60	1.87168787068767	-0.1414076247	1.616296547	0.9331692463
--10	60	1.87209982835345	-0.2826005573	1.602707403	0.9253235505
--15	60	1.87280427265860	-0.4233373383	1.579916455	0.9121651909
--20	60	1.87379936089151	-0.5633138906	1.547692195	0.8935605052
--25	60	1.87507556715659	-0.7021287623	1.505719990	0.8693278415
--30	60	1.87661601697156	-0.8392481963	1.453620516	0.8392481963
--35	60	1.87840062074129	-0.9739740003	1.390979027	0.8030821158
--40	60	1.88039609379053	-1.105407548	1.317373416	0.7605858964
--45	60	1.88255930121197	-1.232424357	1.232424357	0.7115405342
-
-45	65	1.88715875839534	1.267308130	1.267308130	0.5909554863
-40	65	1.88564434333267	1.141430867	1.360304336	0.6343203293
-35	65	1.88421310279238	1.009594002	1.441849661	0.6723455388
-30	65	1.88289722184798	0.8729541391	1.512000922	0.7050576089
-25	65	1.88172952768590	0.7325227201	1.570900043	0.7325227201
-20	65	1.88073317175364	0.5891684647	1.618727053	0.7548248213
-15	65	1.87992625528574	0.4436356591	1.655670820	0.7720519826
-10	65	1.87932563800355	0.2965654926	1.681906486	0.7842858749
-5	65	1.87894505466994	0.1485185180	1.697574429	0.7915919566
-0	65	1.87879319541463	0.000000000	1.702764903	0.7940123144
--5	65	1.87887404056548	-0.1485129048	1.697510270	0.7915620386
--10	65	1.87919149552801	-0.2965443243	1.681786435	0.7842298941
--15	65	1.87974044157650	-0.4435918097	1.655507172	0.7719756723
--20	65	1.88051648189864	-0.5891005833	1.618540550	0.7547378537
--25	65	1.88150867999534	-0.7324367482	1.570715675	0.7324367482
--30	65	1.88269715348385	-0.8728613829	1.511840263	0.7049826926
--35	65	1.88405799545800	-1.009510892	1.441730969	0.6722901918
--40	65	1.88555881498723	-1.141379094	1.360242636	0.6342915580
--45	65	1.88715876651238	-1.267308135	1.267308135	0.5909554888
-
-45	70	1.89086494353896	1.294847444	1.294847444	0.4712859277
-40	70	1.88987416073202	1.170155447	1.394536958	0.5075699432
-35	70	1.88891916760842	1.038274885	1.482810208	0.5396987787
-30	70	1.88802503028929	0.9003443138	1.559442096	0.5675905049
-25	70	1.88721649830560	0.7574268788	1.624307183	0.5911994661
-20	70	1.88651219908655	0.6105047340	1.677347971	0.6105047340
-15	70	1.88593055586457	0.4604855611	1.718555510	0.6255030517
-10	70	1.88548791768751	0.3082102660	1.747947278	0.6362007803
-5	70	1.88519889615929	0.1544656938	1.765550959	0.6426079963
-0	70	1.88507278302280	0.000000000	1.771388984	0.6447328634
--5	70	1.88511650257219	-0.1544589428	1.765473795	0.6425799108
--10	70	1.88533288652788	-0.3081849239	1.747803556	0.6361484697
--15	70	1.88571686078656	-0.4604333834	1.718360780	0.6254321758
--20	70	1.88626284152229	-0.6104240381	1.677126261	0.6104240381
--25	70	1.88696304938666	-0.7573251581	1.624089043	0.5911200693
--30	70	1.88779869383551	-0.9002363805	1.559255150	0.5675224622
--35	70	1.88874627974203	-1.038179855	1.482674490	0.5396493815
--40	70	1.88977946185006	-1.170096812	1.394467079	0.5075445096
--45	70	1.89086494328055	-1.294847444	1.294847444	0.4712859276
-
-45	75	1.89370778557546	1.315647028	1.315647028	0.3525265586
-40	75	1.89315551683584	1.192044331	1.420623115	0.3806548163
-35	75	1.89260966343359	1.060315659	1.514287695	0.4057521649
-30	75	1.89208660694520	0.9215568152	1.596183226	0.4276960064
-25	75	1.89159987363873	0.7768461282	1.665951898	0.4463904657
-20	75	1.89116359075116	0.6272386825	1.723324117	0.4617633054
-15	75	1.89079047480789	0.4737617690	1.768102993	0.4737617690
-10	75	1.89049650332503	0.3174160983	1.800156147	0.4823503859
-5	75	1.89029504936077	0.1591768498	1.819399719	0.4875066853
-0	75	1.89019488018557	0.000000000	1.825788051	0.4892184339
--5	75	1.89020356070269	-0.1591691458	1.819311661	0.4874830904
--10	75	1.89032439753936	-0.3173872015	1.799992266	0.4823064740
--15	75	1.89055396482653	-0.4737025084	1.767881829	0.4737025084
--20	75	1.89088801313475	-0.6271472822	1.723072997	0.4616960179
--25	75	1.89132072187155	-0.7767314856	1.665706046	0.4463245899
--30	75	1.89183834621611	-0.9214358977	1.595973791	0.4276398884
--35	75	1.89242298269745	-1.060211073	1.514138330	0.4057121429
--40	75	1.89305374631156	-1.191980251	1.420546746	0.3806343534
--45	75	1.89370778170304	-1.315647025	1.315647025	0.3525265579
-
-45	80	1.89571522016669	1.330173784	1.330173784	0.2345455272
-40	80	1.89549223122479	1.207433853	1.438963632	0.2537281126
-35	80	1.89525980381421	1.075911192	1.536560425	0.2709370604
-30	80	1.89502461731476	0.9366545953	1.622333348	0.2860611410
-25	80	1.89479159466255	0.7907401748	1.695747777	0.2990060856
-20	80	1.89456853197536	0.6392647585	1.756365489	0.3096946237
-15	80	1.89436364624316	0.4833370674	1.803838493	0.3180653951
-10	80	1.89419149862066	0.3240731884	1.837910382	0.3240731884
-5	80	1.89406305957418	0.1625891815	1.858402849	0.3276865632
-0	80	1.89398535305875	0.000000000	1.865211460	0.3288871051
--5	80	1.89396545780026	-0.1625808032	1.858307084	0.3276696774
--10	80	1.89400801847812	-0.3240417972	1.837732353	0.3240417972
--15	80	1.89411171740476	-0.4832727891	1.803598603	0.3180230960
--20	80	1.89427410183510	-0.6391654120	1.756092537	0.3096464948
--25	80	1.89449405187517	-0.7906160034	1.695481491	0.2989591321
--30	80	1.89476027557392	-0.9365239390	1.622107045	0.2860212376
--35	80	1.89506213171854	-1.075798977	1.536400164	0.2709088022
--40	80	1.89538539088625	-1.207365795	1.438882524	0.2537138111
--45	80	1.89571521594007	-1.330173781	1.330173781	0.2345455266
-
-45	85	1.89691030627194	1.338758783	1.338758783	0.1171262167
-40	85	1.89689064362912	1.216568628	1.449850034	0.1268454418
-35	85	1.89685384237992	1.085207375	1.549836750	0.1355931459
-30	85	1.89680006494586	0.9456894575	1.637982189	0.1433048726
-25	85	1.89672950838572	0.7990844751	1.713642187	0.1499242647
-20	85	1.89664288128594	0.6465089091	1.776268629	0.1554033684
-15	85	1.89654731418473	0.4891191430	1.825417493	0.1597033368
-10	85	1.89645564398545	0.3281004976	1.860750387	0.1627945645
-5	85	1.89637632861507	0.1646558973	1.882025518	0.1646558973
-0	85	1.89631347436315	0.000000000	1.889097429	0.1652746093
--5	85	1.89627439589898	-0.1646470468	1.881924357	0.1646470468
--10	85	1.89626586914006	-0.3280676652	1.860564185	0.1627782740
--15	85	1.89628696406415	-0.4890519988	1.825166907	0.1596814134
--20	85	1.89633710035819	-0.6464046775	1.775982255	0.1553783140
--25	85	1.89641872038253	-0.7989535413	1.713361399	0.1498996989
--30	85	1.89652597261778	-0.9455528030	1.637745496	0.1432841646
--35	85	1.89664943160818	-1.085090430	1.549669735	0.1355785340
--40	85	1.89678090896391	-1.216498250	1.449766160	0.1268381038
--45	85	1.89691030265291	-1.338758781	1.338758781	0.1171262165
-
-45	90	1.89730625227641	1.341598117	1.341598117	0.000000000
-40	90	1.89735536874309	1.219596522	1.453458537	0.000000000
-35	90	1.89738510489331	1.088295387	1.554246887	0.000000000
-30	90	1.89739337760168	0.9486966888	1.643190866	0.000000000
-25	90	1.89737868292950	0.8018668808	1.719609075	0.000000000
-20	90	1.89733922032543	0.6489282321	1.782915664	0.000000000
-15	90	1.89728161447163	0.4910526157	1.832633311	0.000000000
-10	90	1.89721820690399	0.3294484843	1.868395199	0.000000000
-5	90	1.89715711318495	0.1653481373	1.889937858	0.000000000
-0	90	1.89709966648514	0.000000000	1.897099666	0.000000000
--5	90	1.89705207941226	-0.1653389830	1.889833224	0.000000000
--10	90	1.89702638820423	-0.3294151753	1.868206295	0.000000000
--15	90	1.89701864264338	-0.4909845536	1.832379300	0.000000000
--20	90	1.89702975950847	-0.6488223902	1.782624866	0.000000000
--25	90	1.89706356216867	-0.8017337051	1.719323479	0.000000000
--30	90	1.89711627156136	-0.9485581358	1.642950885	0.000000000
--35	90	1.89717850276768	-1.088176885	1.554077649	0.000000000
--40	90	1.89724473474544	-1.219525408	1.453373786	0.000000000
--45	90	1.89730624975374	-1.341598115	1.341598115	0.000000000
-
-
-### -x patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = drho = dnu
-# dpy = 180 - dsigma = 180 - dphi
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--90	45	1.89730625208892	-1.341598117	1.341598117	1.642983840e-16
--90	40	1.89735536857107	-1.453458537	1.219596522	1.779973345e-16
--90	35	1.89738510474208	-1.554246887	1.088295387	1.903403476e-16
--90	30	1.89739337747736	-1.643190866	0.9486966887	2.012328434e-16
--90	25	1.89737868283713	-1.719609075	0.8018668808	2.105913750e-16
--90	20	1.89733922026520	-1.782915664	0.6489282321	2.183441962e-16
--90	15	1.89728161444451	-1.832633311	0.4910526157	2.244328518e-16
--90	10	1.89721820691096	-1.868395199	0.3294484843	2.288124200e-16
--90	5	1.89715711322569	-1.889937858	0.1653481373	2.314506348e-16
--90	-2.84217e-14	1.89709966655808	-1.897099667	-6.101537885e-16	2.323277034e-16
--90	-5	1.89705207951453	-1.889833224	-0.1653389830	2.314378208e-16
--90	-10	1.89702638833218	-1.868206295	-0.3294151753	2.287892859e-16
--90	-15	1.89701864279397	-1.832379300	-0.4909845537	2.244017445e-16
--90	-20	1.89702975967935	-1.782624867	-0.6488223903	2.183085837e-16
--90	-25	1.89706356235533	-1.719323479	-0.8017337051	2.105563995e-16
--90	-30	1.89711627175688	-1.642950885	-0.9485581359	2.012034543e-16
--90	-35	1.89717850296652	-1.554077649	-1.088176885	1.903196219e-16
--90	-40	1.89724473494196	-1.453373786	-1.219525408	1.779869556e-16
--90	-45	1.89730624994122	-1.341598115	-1.341598115	1.642983838e-16
-
--85	45	1.89691030608248	-1.338758783	1.338758783	0.1171262167
--85	40	1.89689064345491	-1.449850033	1.216568628	0.1268454417
--85	35	1.89685384222647	-1.549836750	1.085207375	0.1355931459
--85	30	1.89680006481985	-1.637982188	0.9456894574	0.1433048725
--85	25	1.89672950829111	-1.713642187	0.7990844750	0.1499242647
--85	20	1.89664288122379	-1.776268629	0.6465089090	0.1554033684
--85	15	1.89654731415666	-1.825417493	0.4891191430	0.1597033368
--85	10	1.89645564399190	-1.860750387	0.3281004976	0.1627945645
--85	5	1.89637632865551	-1.882025518	0.1646558973	0.1646558973
--85	-2.84217e-14	1.89631347443601	-1.889097429	-6.075800727e-16	0.1652746093
--85	-5	1.89627439600184	-1.881924357	-0.1646470468	0.1646470468
--85	-10	1.89626586926986	-1.860564185	-0.3280676652	0.1627782740
--85	-15	1.89628696421746	-1.825166907	-0.4890519988	0.1596814134
--85	-20	1.89633710053163	-1.775982255	-0.6464046775	0.1553783140
--85	-25	1.89641872057136	-1.713361399	-0.7989535414	0.1498996989
--85	-30	1.89652597281521	-1.637745496	-0.9455528031	0.1432841647
--85	-35	1.89664943180923	-1.549669735	-1.085090430	0.1355785340
--85	-40	1.89678090916293	-1.449766160	-1.216498250	0.1268381038
--85	-45	1.89691030284236	-1.338758781	-1.338758781	0.1171262165
-
--80	45	1.89571521997077	-1.330173784	1.330173784	0.2345455271
--80	40	1.89549223104347	-1.438963632	1.207433853	0.2537281126
--80	35	1.89525980365458	-1.536560425	1.075911192	0.2709370604
--80	30	1.89502461718349	-1.622333348	0.9366545953	0.2860611410
--80	25	1.89479159456266	-1.695747777	0.7907401748	0.2990060856
--80	20	1.89456853190842	-1.756365489	0.6392647585	0.3096946237
--80	15	1.89436364621309	-1.803838493	0.4833370674	0.3180653951
--80	10	1.89419149862630	-1.837910382	0.3240731884	0.3240731884
--80	5	1.89406305961359	-1.858402849	0.1625891815	0.3276865633
--80	-2.84217e-14	1.89398535313162	-1.865211460	-5.998977590e-16	0.3288871051
--80	-5	1.89396545790484	-1.858307085	-0.1625808033	0.3276696775
--80	-10	1.89400801861182	-1.837732353	-0.3240417972	0.3240417972
--80	-15	1.89411171756343	-1.803598603	-0.4832727891	0.3180230961
--80	-20	1.89427410201443	-1.756092537	-0.6391654120	0.3096464949
--80	-25	1.89449405207030	-1.695481491	-0.7906160034	0.2989591321
--80	-30	1.89476027577904	-1.622107045	-0.9365239391	0.2860212376
--80	-35	1.89506213192773	-1.536400165	-1.075798977	0.2709088022
--80	-40	1.89538539109290	-1.438882524	-1.207365795	0.2537138111
--80	-45	1.89571521613598	-1.330173781	-1.330173781	0.2345455267
-
--75	45	1.89370778536794	-1.315647027	1.315647027	0.3525265585
--75	40	1.89315551664176	-1.420623114	1.192044331	0.3806548163
--75	35	1.89260966326241	-1.514287695	1.060315659	0.4057521649
--75	30	1.89208660680352	-1.596183226	0.9215568151	0.4276960063
--75	25	1.89159987353004	-1.665951898	0.7768461282	0.4463904657
--75	20	1.89116359067753	-1.723324117	0.6272386825	0.4617633054
--75	15	1.89079047477305	-1.768102992	0.4737617690	0.4737617690
--75	10	1.89049650332738	-1.800156147	0.3174160983	0.4823503859
--75	5	1.89029504939842	-1.819399719	0.1591768498	0.4875066853
--75	-2.84217e-14	1.89019488025856	-1.825788052	-5.872182238e-16	0.4892184340
--75	-5	1.89020356080907	-1.819311661	-0.1591691458	0.4874830904
--75	-10	1.89032439767682	-1.799992266	-0.3173872016	0.4823064741
--75	-15	1.89055396499141	-1.767881829	-0.4737025084	0.4737025084
--75	-20	1.89088801332284	-1.723072997	-0.6271472823	0.4616960180
--75	-25	1.89132072207764	-1.665706046	-0.7767314857	0.4463245900
--75	-30	1.89183834643485	-1.595973791	-0.9214358978	0.4276398884
--75	-35	1.89242298292113	-1.514138331	-1.060211073	0.4057121429
--75	-40	1.89305374653149	-1.420546746	-1.191980251	0.3806343534
--75	-45	1.89370778191055	-1.315647025	-1.315647025	0.3525265579
-
--70	45	1.89086494331418	-1.294847444	1.294847444	0.4712859277
--70	40	1.88987416051914	-1.394536958	1.170155447	0.5075699431
--70	35	1.88891916741866	-1.482810208	1.038274885	0.5396987787
--70	30	1.88802503013117	-1.559442096	0.9003443137	0.5675905049
--70	25	1.88721649818392	-1.624307183	0.7574268788	0.5911994660
--70	20	1.88651219900393	-1.677347971	0.6105047340	0.6105047340
--70	15	1.88593055582226	-1.718555510	0.4604855611	0.6255030517
--70	10	1.88548791768442	-1.747947278	0.3082102660	0.6362007803
--70	5	1.88519889619454	-1.765550960	0.1544656938	0.6426079963
--70	-2.84217e-14	1.88507278309541	-1.771388984	-5.697221493e-16	0.6447328635
--70	-5	1.88511650268009	-1.765473795	-0.1544589428	0.6425799109
--70	-10	1.88533288666911	-1.747803556	-0.3081849239	0.6361484698
--70	-15	1.88571686095851	-1.718360781	-0.4604333835	0.6254321759
--70	-20	1.88626284172152	-1.677126261	-0.6104240381	0.6104240381
--70	-25	1.88696304960837	-1.624089043	-0.7573251582	0.5911200694
--70	-30	1.88779869407298	-1.559255150	-0.9002363806	0.5675224623
--70	-35	1.88874627998618	-1.482674490	-1.038179855	0.5396493816
--70	-40	1.88977946208999	-1.394467080	-1.170096812	0.5075445096
--70	-45	1.89086494350535	-1.294847444	-1.294847444	0.4712859277
-
--65	45	1.88715875814553	-1.267308130	1.267308130	0.5909554862
--65	40	1.88564434309247	-1.360304336	1.141430866	0.6343203292
--65	35	1.88421310257654	-1.441849661	1.009594002	0.6723455388
--65	30	1.88289722166767	-1.512000922	0.8729541391	0.7050576088
--65	25	1.88172952754674	-1.570900043	0.7325227201	0.7325227201
--65	20	1.88073317165856	-1.618727053	0.5891684647	0.7548248213
--65	15	1.87992625523473	-1.655670820	0.4436356591	0.7720519826
--65	10	1.87932563799467	-1.681906486	0.2965654926	0.7842858749
--65	5	1.87894505470202	-1.697574429	0.1485185180	0.7915919566
--65	-2.84217e-14	1.87879319548642	-1.702764903	-5.476509616e-16	0.7940123144
--65	-5	1.87887404067498	-1.697510270	-0.1485129048	0.7915620387
--65	-10	1.87919149567413	-1.681786435	-0.2965443243	0.7842298942
--65	-15	1.87974044175708	-1.655507172	-0.4435918098	0.7719756724
--65	-20	1.88051648211085	-1.618540551	-0.5891005834	0.7547378538
--65	-25	1.88150868023660	-1.570715676	-0.7324367483	0.7324367483
--65	-30	1.88269715374651	-1.511840263	-0.8728613830	0.7049826927
--65	-35	1.88405799573092	-1.441730969	-1.009510893	0.6722901918
--65	-40	1.88555881525608	-1.360242636	-1.141379094	0.6342915581
--65	-45	1.88715876676222	-1.267308136	-1.267308136	0.5909554889
-
--60	45	1.88255927952036	-1.232424343	1.232424343	0.7115405260
--60	40	1.88047074853886	-1.317425718	1.105451434	0.7606160929
--60	35	1.87853447098898	-1.391078145	0.9740434033	0.8031393414
--60	30	1.87678742187442	-1.453753286	0.8393248509	0.8393248509
--60	25	1.87526005417533	-1.505868136	0.7021978441	0.8694133738
--60	20	1.87397879629190	-1.547840402	0.5633678337	0.8936460727
--60	15	1.87295808808826	-1.580046216	0.4233721075	0.9122401080
--60	10	1.87221063920297	-1.602802268	0.2826172846	0.9253783210
--60	5	1.87174628735122	-1.616346992	0.1414120382	0.9331983712
--60	-2.84217e-14	1.87157061596759	-1.620827698	-5.212979466e-16	0.9357853080
--60	-5	1.87168787079903	-1.616296547	-0.1414076247	0.9331692464
--60	-10	1.87209982850445	-1.602707403	-0.2826005573	0.9253235506
--60	-15	1.87280427284858	-1.579916456	-0.4233373384	0.9121651909
--60	-20	1.87379936111938	-1.547692195	-0.5633138907	0.8935605053
--60	-25	1.87507556742073	-1.505719990	-0.7021287624	0.8693278416
--60	-30	1.87661601726600	-1.453620516	-0.8392481965	0.8392481965
--60	-35	1.87840062105387	-1.390979027	-0.9739740005	0.8030821159
--60	-40	1.88039609410122	-1.317373416	-1.105407548	0.7605858965
--60	-45	1.88255930149839	-1.232424357	-1.232424357	0.7115405343
-
--55	45	1.87704512107501	-1.189459606	1.189459606	0.8328685828
--55	40	1.87437677116275	-1.265322105	1.061731312	0.8859880764
--55	35	1.87195067895903	-1.330142214	0.9313756050	0.9313756050
--55	30	1.86980497410130	-1.384613844	0.7994071755	0.9695170510
--55	25	1.86796211049966	-1.429413972	0.6665466819	1.000886439
--55	20	1.86643771449517	-1.465162164	0.5332754161	1.025917592
--55	15	1.86524024283896	-1.492389267	0.3998844988	1.044982214
--55	10	1.86437431308945	-1.511520363	0.2665218219	1.058377952
--55	5	1.86384450918116	-1.522866260	0.1332335338	1.066322435
--55	-2.84217e-14	1.86365195969291	-1.526614313	-4.909966107e-16	1.068946850
--55	-5	1.86379921540468	-1.522829252	-0.1332302960	1.066296522
--55	-10	1.86428766452227	-1.511450114	-0.2665094350	1.058328763
--55	-15	1.86511882209664	-1.492292117	-0.3998584676	1.044914190
--55	-20	1.86629481215865	-1.465049985	-0.5332345863	1.025839043
--55	-25	1.86781218517540	-1.429299245	-0.6664931839	1.000806106
--55	-30	1.86966490099690	-1.384510118	-0.7993472893	0.9694444214
--55	-35	1.87184019070863	-1.330063705	-0.9313206324	0.9313206324
--55	-40	1.87431335031288	-1.265279292	-1.061695387	0.8859580984
--55	-45	1.87704507626859	-1.189459578	-1.189459578	0.8328685629
-
--50	45	1.87060988889035	-1.137556038	1.137556038	0.9545228523
--50	40	1.86741119820860	-1.203360668	1.009739493	1.009739493
--50	35	1.86456567115243	-1.258698996	0.8813505255	1.056173864
--50	30	1.86209726823147	-1.304553571	0.7531843555	1.094650420
--50	25	1.86001656955726	-1.341816453	0.6256992879	1.125917691
--50	20	1.85832156495171	-1.371254317	0.4990957550	1.150618992
--50	15	1.85700786287812	-1.393497930	0.3733866450	1.169283599
--50	10	1.85606912608598	-1.409035567	0.2484509873	1.182321225
--50	5	1.85550121217693	-1.418214858	0.1240777225	1.190023564
--50	-2.84217e-14	1.85530055704316	-1.421242682	-4.571065095e-16	1.192564210
--50	-5	1.85546771137262	-1.418189252	-0.1240754823	1.190002079
--50	-10	1.85600465061920	-1.408986621	-0.2484423567	1.182280154
--50	-15	1.85691717302565	-1.393429876	-0.3733684101	1.169226495
--50	-20	1.85821390607658	-1.371174876	-0.4990668407	1.150552332
--50	-25	1.85990162670486	-1.341733533	-0.6256606217	1.125848113
--50	-30	1.86198888755597	-1.304477642	-0.7531405175	1.094586708
--50	-35	1.86447805519057	-1.258639850	-0.8813091109	1.056124234
--50	-40	1.86735971177531	-1.203327490	-1.009711653	1.009711653
--50	-45	1.87060987635224	-1.137556031	-1.137556031	0.9545228459
-
--45	45	1.86328159999824	-1.075766133	1.075766133	1.075766133
--45	40	1.85966235052260	-1.130898617	0.9489366124	1.130898617
--45	35	1.85652102322258	-1.176453747	0.8237617818	1.176453747
--45	30	1.85385319941752	-1.213631802	0.7006906476	1.213631802
--45	25	1.85164418879263	-1.243458572	0.5798342546	1.243458572
--45	20	1.84987180439140	-1.266775709	0.4610686514	1.266775709
--45	15	1.84851533498728	-1.284249727	0.3441136771	1.284249727
--45	10	1.84755626773955	-1.296381907	0.2285871075	1.296381907
--45	5	1.84698192166643	-1.303521449	0.1140433494	1.303521449
--45	-2.84217e-14	1.84678333880527	-1.305873022	-4.200007969e-16	1.305873022
--45	-5	1.84695895914493	-1.303505243	-0.1140419316	1.303505243
--45	-10	1.84751203797543	-1.296350872	-0.2285816352	1.296350872
--45	-15	1.84845146001313	-1.284205350	-0.3441017864	1.284205350
--45	-20	1.84979452446736	-1.266722788	-0.4610493899	1.266722788
--45	-25	1.85156092756268	-1.243402658	-0.5798081817	1.243402658
--45	-30	1.85377369917969	-1.213579757	-0.7006605993	1.213579757
--45	-35	1.85645499513535	-1.176411906	-0.8237324843	1.176411906
--45	-40	1.85962288577641	-1.130874618	-0.9489164746	1.130874618
--45	-45	1.86328163328929	-1.075766153	-1.075766153	1.075766153
-
-
-### -y patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = 90 + dsigma = 90 + dphi
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--45	-90	1.89730625227640	-1.341598117	-1.341598117	1.642983840e-16
--40	-90	1.89735536874308	-1.219596522	-1.453458537	1.779973345e-16
--35	-90	1.89738510489330	-1.088295387	-1.554246887	1.903403476e-16
--30	-90	1.89739337760166	-0.9486966888	-1.643190866	2.012328434e-16
--25	-90	1.89737868292948	-0.8018668808	-1.719609075	2.105913750e-16
--20	-90	1.89733922032540	-0.6489282321	-1.782915664	2.183441962e-16
--15	-90	1.89728161447161	-0.4910526157	-1.832633311	2.244328519e-16
--10	-90	1.89721820690396	-0.3294484843	-1.868395199	2.288124200e-16
--5	-90	1.89715711318492	-0.1653481373	-1.889937858	2.314506348e-16
--2.84217e-14	-90	1.89709966648511	-6.101537885e-16	-1.897099666	2.323277034e-16
-5	-90	1.89705207941224	0.1653389830	-1.889833224	2.314378208e-16
-10	-90	1.89702638820420	0.3294151753	-1.868206295	2.287892859e-16
-15	-90	1.89701864264336	0.4909845536	-1.832379300	2.244017444e-16
-20	-90	1.89702975950846	0.6488223902	-1.782624866	2.183085837e-16
-25	-90	1.89706356216865	0.8017337051	-1.719323479	2.105563995e-16
-30	-90	1.89711627156135	0.9485581358	-1.642950885	2.012034543e-16
-35	-90	1.89717850276767	1.088176885	-1.554077649	1.903196218e-16
-40	-90	1.89724473474544	1.219525408	-1.453373786	1.779869555e-16
-45	-90	1.89730624975374	1.341598115	-1.341598115	1.642983838e-16
-
--45	-85	1.89691030627193	-1.338758783	-1.338758783	0.1171262167
--40	-85	1.89689064362911	-1.216568628	-1.449850034	0.1268454418
--35	-85	1.89685384237990	-1.085207375	-1.549836750	0.1355931459
--30	-85	1.89680006494585	-0.9456894575	-1.637982189	0.1433048726
--25	-85	1.89672950838570	-0.7990844751	-1.713642187	0.1499242647
--20	-85	1.89664288128591	-0.6465089091	-1.776268629	0.1554033684
--15	-85	1.89654731418471	-0.4891191430	-1.825417493	0.1597033368
--10	-85	1.89645564398543	-0.3281004976	-1.860750387	0.1627945645
--5	-85	1.89637632861505	-0.1646558973	-1.882025518	0.1646558973
--2.84217e-14	-85	1.89631347436312	-6.075800726e-16	-1.889097429	0.1652746093
-5	-85	1.89627439589896	0.1646470468	-1.881924357	0.1646470468
-10	-85	1.89626586914004	0.3280676652	-1.860564185	0.1627782740
-15	-85	1.89628696406412	0.4890519988	-1.825166907	0.1596814134
-20	-85	1.89633710035818	0.6464046775	-1.775982255	0.1553783140
-25	-85	1.89641872038252	0.7989535413	-1.713361399	0.1498996989
-30	-85	1.89652597261777	0.9455528030	-1.637745496	0.1432841646
-35	-85	1.89664943160817	1.085090430	-1.549669735	0.1355785340
-40	-85	1.89678090896390	1.216498250	-1.449766160	0.1268381038
-45	-85	1.89691030265291	1.338758781	-1.338758781	0.1171262165
-
--45	-80	1.89571522016668	-1.330173784	-1.330173784	0.2345455272
--40	-80	1.89549223122477	-1.207433853	-1.438963632	0.2537281126
--35	-80	1.89525980381419	-1.075911192	-1.536560425	0.2709370604
--30	-80	1.89502461731474	-0.9366545953	-1.622333348	0.2860611410
--25	-80	1.89479159466253	-0.7907401748	-1.695747777	0.2990060856
--20	-80	1.89456853197534	-0.6392647585	-1.756365489	0.3096946237
--15	-80	1.89436364624314	-0.4833370674	-1.803838493	0.3180653951
--10	-80	1.89419149862063	-0.3240731884	-1.837910382	0.3240731884
--5	-80	1.89406305957415	-0.1625891815	-1.858402849	0.3276865632
--2.84217e-14	-80	1.89398535305872	-5.998977590e-16	-1.865211460	0.3288871051
-5	-80	1.89396545780023	0.1625808032	-1.858307084	0.3276696774
-10	-80	1.89400801847809	0.3240417972	-1.837732353	0.3240417972
-15	-80	1.89411171740474	0.4832727891	-1.803598603	0.3180230960
-20	-80	1.89427410183508	0.6391654120	-1.756092537	0.3096464948
-25	-80	1.89449405187515	0.7906160034	-1.695481491	0.2989591321
-30	-80	1.89476027557391	0.9365239390	-1.622107045	0.2860212376
-35	-80	1.89506213171853	1.075798977	-1.536400164	0.2709088022
-40	-80	1.89538539088624	1.207365795	-1.438882524	0.2537138111
-45	-80	1.89571521594007	1.330173781	-1.330173781	0.2345455266
-
--45	-75	1.89370778557545	-1.315647028	-1.315647028	0.3525265586
--40	-75	1.89315551683583	-1.192044331	-1.420623115	0.3806548163
--35	-75	1.89260966343358	-1.060315659	-1.514287695	0.4057521649
--30	-75	1.89208660694518	-0.9215568152	-1.596183226	0.4276960064
--25	-75	1.89159987363871	-0.7768461282	-1.665951898	0.4463904657
--20	-75	1.89116359075113	-0.6272386825	-1.723324117	0.4617633054
--15	-75	1.89079047480786	-0.4737617690	-1.768102993	0.4737617690
--10	-75	1.89049650332500	-0.3174160983	-1.800156147	0.4823503859
--5	-75	1.89029504936074	-0.1591768498	-1.819399719	0.4875066853
--2.84217e-14	-75	1.89019488018554	-5.872182238e-16	-1.825788051	0.4892184339
-5	-75	1.89020356070266	0.1591691458	-1.819311661	0.4874830904
-10	-75	1.89032439753933	0.3173872015	-1.799992266	0.4823064740
-15	-75	1.89055396482651	0.4737025084	-1.767881829	0.4737025084
-20	-75	1.89088801313473	0.6271472822	-1.723072997	0.4616960179
-25	-75	1.89132072187153	0.7767314856	-1.665706046	0.4463245899
-30	-75	1.89183834621610	0.9214358977	-1.595973791	0.4276398884
-35	-75	1.89242298269744	1.060211073	-1.514138330	0.4057121429
-40	-75	1.89305374631156	1.191980251	-1.420546746	0.3806343534
-45	-75	1.89370778170304	1.315647025	-1.315647025	0.3525265579
-
--45	-70	1.89086494353896	-1.294847444	-1.294847444	0.4712859277
--40	-70	1.88987416073201	-1.170155447	-1.394536958	0.5075699432
--35	-70	1.88891916760840	-1.038274885	-1.482810208	0.5396987787
--30	-70	1.88802503028927	-0.9003443138	-1.559442096	0.5675905049
--25	-70	1.88721649830558	-0.7574268788	-1.624307183	0.5911994661
--20	-70	1.88651219908652	-0.6105047340	-1.677347971	0.6105047340
--15	-70	1.88593055586454	-0.4604855611	-1.718555510	0.6255030517
--10	-70	1.88548791768748	-0.3082102660	-1.747947278	0.6362007803
--5	-70	1.88519889615926	-0.1544656938	-1.765550959	0.6426079963
--2.84217e-14	-70	1.88507278302277	-5.697221493e-16	-1.771388984	0.6447328634
-5	-70	1.88511650257216	0.1544589428	-1.765473795	0.6425799108
-10	-70	1.88533288652785	0.3081849239	-1.747803556	0.6361484697
-15	-70	1.88571686078653	0.4604333834	-1.718360780	0.6254321758
-20	-70	1.88626284152227	0.6104240381	-1.677126261	0.6104240381
-25	-70	1.88696304938665	0.7573251581	-1.624089043	0.5911200693
-30	-70	1.88779869383549	0.9002363805	-1.559255150	0.5675224622
-35	-70	1.88874627974202	1.038179855	-1.482674490	0.5396493815
-40	-70	1.88977946185006	1.170096812	-1.394467079	0.5075445096
-45	-70	1.89086494328055	1.294847444	-1.294847444	0.4712859276
-
--45	-65	1.88715875839533	-1.267308130	-1.267308130	0.5909554863
--40	-65	1.88564434333266	-1.141430867	-1.360304336	0.6343203293
--35	-65	1.88421310279237	-1.009594002	-1.441849661	0.6723455388
--30	-65	1.88289722184797	-0.8729541391	-1.512000922	0.7050576089
--25	-65	1.88172952768587	-0.7325227201	-1.570900043	0.7325227201
--20	-65	1.88073317175362	-0.5891684647	-1.618727053	0.7548248213
--15	-65	1.87992625528571	-0.4436356591	-1.655670820	0.7720519826
--10	-65	1.87932563800352	-0.2965654926	-1.681906486	0.7842858749
--5	-65	1.87894505466991	-0.1485185180	-1.697574429	0.7915919566
--2.84217e-14	-65	1.87879319541459	-5.476509616e-16	-1.702764903	0.7940123144
-5	-65	1.87887404056545	0.1485129048	-1.697510270	0.7915620386
-10	-65	1.87919149552798	0.2965443243	-1.681786435	0.7842298941
-15	-65	1.87974044157648	0.4435918097	-1.655507172	0.7719756723
-20	-65	1.88051648189862	0.5891005833	-1.618540550	0.7547378537
-25	-65	1.88150867999533	0.7324367482	-1.570715675	0.7324367482
-30	-65	1.88269715348384	0.8728613829	-1.511840263	0.7049826926
-35	-65	1.88405799545799	1.009510892	-1.441730969	0.6722901918
-40	-65	1.88555881498722	1.141379094	-1.360242636	0.6342915580
-45	-65	1.88715876651238	1.267308135	-1.267308135	0.5909554888
-
--45	-60	1.88255927980671	-1.232424343	-1.232424343	0.7115405261
--40	-60	1.88047074881887	-1.105451434	-1.317425718	0.7606160930
--35	-60	1.87853447124081	-0.9740434035	-1.391078145	0.8031393416
--30	-60	1.87678742208344	-0.8393248510	-1.453753286	0.8393248510
--25	-60	1.87526005433565	-0.7021978442	-1.505868136	0.8694133739
--20	-60	1.87397879640224	-0.5633678337	-1.547840402	0.8936460727
--15	-60	1.87295808814990	-0.4233721075	-1.580046216	0.9122401080
--10	-60	1.87221063921810	-0.2826172846	-1.602802268	0.9253783210
--5	-60	1.87174628732219	-0.1414120382	-1.616346992	0.9331983711
--2.84217e-14	-60	1.87157061589650	-5.212979466e-16	-1.620827698	0.9357853079
-5	-60	1.87168787068763	0.1414076247	-1.616296547	0.9331692463
-10	-60	1.87209982835342	0.2826005573	-1.602707403	0.9253235505
-15	-60	1.87280427265857	0.4233373383	-1.579916455	0.9121651909
-20	-60	1.87379936089149	0.5633138906	-1.547692195	0.8935605052
-25	-60	1.87507556715657	0.7021287623	-1.505719990	0.8693278415
-30	-60	1.87661601697155	0.8392481963	-1.453620516	0.8392481963
-35	-60	1.87840062074129	0.9739740003	-1.390979027	0.8030821158
-40	-60	1.88039609379053	1.105407548	-1.317373416	0.7605858964
-45	-60	1.88255930121197	1.232424357	-1.232424357	0.7115405342
-
--45	-55	1.87704512141691	-1.189459607	-1.189459607	0.8328685829
--40	-55	1.87437677150172	-1.061731312	-1.265322106	0.8859880766
--35	-55	1.87195067926008	-0.9313756052	-1.330142214	0.9313756052
--30	-55	1.86980497434609	-0.7994071756	-1.384613844	0.9695170511
--25	-55	1.86796211068371	-0.6665466820	-1.429413972	1.000886439
--20	-55	1.86643771462124	-0.5332754161	-1.465162164	1.025917592
--15	-55	1.86524024291117	-0.3998844988	-1.492389267	1.044982214
--10	-55	1.86437431311140	-0.2665218219	-1.511520363	1.058377952
--5	-55	1.86384450915632	-0.1332335338	-1.522866260	1.066322435
--2.84217e-14	-55	1.86365195962390	-4.909966107e-16	-1.526614313	1.068946850
-5	-55	1.86379921529303	0.1332302960	-1.522829252	1.066296522
-10	-55	1.86428766436816	0.2665094350	-1.511450114	1.058328763
-15	-55	1.86511882189895	0.3998584676	-1.492292117	1.044914189
-20	-55	1.86629481191591	0.5332345862	-1.465049985	1.025839043
-25	-55	1.86781218488693	0.6664931838	-1.429299245	1.000806106
-30	-55	1.86966490066474	0.7993472892	-1.384510118	0.9694444212
-35	-55	1.87184019034306	0.9313206322	-1.330063705	0.9313206322
-40	-55	1.87431334994014	1.061695387	-1.265279292	0.8859580982
-45	-55	1.87704507592641	1.189459578	-1.189459578	0.8328685627
-
--45	-50	1.87060988932467	-1.137556039	-1.137556039	0.9545228525
--40	-50	1.86741119863610	-1.009739493	-1.203360668	1.009739493
--35	-50	1.86456567151308	-0.8813505257	-1.258698997	1.056173864
--30	-50	1.86209726851103	-0.7531843556	-1.304553571	1.094650421
--25	-50	1.86001656976128	-0.6256992880	-1.341816453	1.125917691
--20	-50	1.85832156508985	-0.4990957551	-1.371254317	1.150618992
--15	-50	1.85700786295821	-0.3733866450	-1.393497930	1.169283599
--10	-50	1.85606912611356	-0.2484509873	-1.409035567	1.182321225
--5	-50	1.85550121215641	-0.1240777225	-1.418214858	1.190023564
--2.84217e-14	-50	1.85530055697777	-4.571065095e-16	-1.421242682	1.192564210
-5	-50	1.85546771126376	0.1240754823	-1.418189252	1.190002079
-10	-50	1.85600465046610	0.2484423566	-1.408986620	1.182280154
-15	-50	1.85691717282580	0.3733684100	-1.393429876	1.169226495
-20	-50	1.85821390582619	0.4990668406	-1.371174875	1.150552332
-25	-50	1.85990162639871	0.6256606216	-1.341733533	1.125848113
-30	-50	1.86198888718862	0.7531405173	-1.304477641	1.094586708
-35	-50	1.86447805476267	0.8813091106	-1.258639850	1.056124234
-40	-50	1.86735971131070	1.009711653	-1.203327490	1.009711653
-45	-50	1.87060987591722	1.137556030	-1.137556030	0.9545228456
-
--45	-45	1.86328160061173	-1.075766134	-1.075766134	1.075766134
--40	-45	1.85966235106193	-0.9489366127	-1.130898617	1.130898617
--35	-45	1.85652102363005	-0.8237617820	-1.176453747	1.176453747
--30	-45	1.85385319971422	-0.7006906477	-1.213631802	1.213631802
--25	-45	1.85164418900316	-0.5798342547	-1.243458572	1.243458572
--20	-45	1.84987180453253	-0.4610686514	-1.266775709	1.266775709
--15	-45	1.84851533506979	-0.3441136772	-1.284249727	1.284249727
--10	-45	1.84755626777037	-0.2285871075	-1.296381907	1.296381907
--5	-45	1.84698192165042	-0.1140433494	-1.303521448	1.303521448
--2.84217e-14	-45	1.84678333874561	-4.200007969e-16	-1.305873022	1.305873022
-5	-45	1.84695895904251	0.1140419316	-1.303505242	1.303505242
-10	-45	1.84751203782921	0.2285816352	-1.296350872	1.296350872
-15	-45	1.84845145982003	0.3441017863	-1.284205350	1.284205350
-20	-45	1.84979452422200	0.4610493898	-1.266722788	1.266722788
-25	-45	1.85156092725630	0.5798081816	-1.243402658	1.243402658
-30	-45	1.85377369879861	0.7006605991	-1.213579757	1.213579757
-35	-45	1.85645499466050	0.8237324841	-1.176411905	1.176411905
-40	-45	1.85962288519722	0.9489164743	-1.130874617	1.130874617
-45	-45	1.86328163267528	1.075766152	-1.075766152	1.075766152
-
-
diff --git a/test/checkpoint2.par b/test/checkpoint2.par
deleted file mode 100644
index fbfb02d..0000000
--- a/test/checkpoint2.par
+++ /dev/null
@@ -1,102 +0,0 @@
-# $Header$
-
-# This parameter file sets up Kerr/Kerr-Schild initial data, then
-# finds the apparent horizon in it.
-
-# flesh
-cactus::cctk_itlast = 1
-
-# create output directory
-ActiveThorns = "IOUtil"
-IO::out_dir = $parfile
-IO::parfile_write = "no"
-IO::out_fileinfo  = "axis labels"
-
-ActiveThorns = "Carpet CarpetLib"
-driver::ghost_size = 3
-driver::global_nx = 19
-driver::global_ny = 31
-driver::global_nz = 19
-
-ActiveThorns = "Boundary CartGrid3D CoordBase RotatingSymmetry180 Slab SymBase"
-grid::domain = "bitant"
-grid::avoid_origin = "false"
-grid::type = "byrange"
-grid::xmin = -0.6
-grid::ymin = -3.0
-grid::zmin = -0.6
-grid::xmax =  3.0
-grid::ymax =  3.0
-grid::zmax =  3.0
-
-ActiveThorns = "ADMBase ADMCoupling StaticConformal CoordGauge SpaceMask Exact ADMMacros BSSN_MoL MoL"
-ADMBase::initial_lapse = "exact"
-ADMBase::initial_shift = "exact"
-ADMBase::initial_data = "exact"
-ADMBase::lapse_evolution_method = "harmonic"
-ADMBase::shift_evolution_method = "static"
-ADMBase::metric_type = "physical"
-ADMBase::evolution_method = ADM_BSSN
-Exact::exact_model = "Kerr/Kerr-Schild"
-Exact::Kerr_KerrSchild__mass = 1.0
-Exact::Kerr_KerrSchild__spin = 0.6
-SpaceMask::use_mask = yes
-BSSN_MoL::excise       = yes
-BSSN_MoL::excisionType = lego
-
-ActiveThorns = "Time"
-Time::dtfac = 0.25
-
-ActiveThorns = "LegoExcision"
-LegoExcision::fixed_excision    = sphere
-LegoExcision::num_fixed_regions = 1
-LegoExcision::fixed_size        = 1.001
-
-ActiveThorns = "CarpetIOASCII"
-IOASCII::out1D_every = 1
-IOASCII::out1D_vars  = "SpaceMask::emask ADM_BSSN::ADM_BSSN_phi"
-IOASCII::out1D_d     = no
-
-ActiveThorns = "CarpetIOHDF5"
-IOHDF5::checkpoint   = yes
-IO::checkpoint_dir   = $parfile
-IO::checkpoint_every =  1
-IO::checkpoint_keep  = -1
-
-########################################
-
-ActiveThorns = "SphericalSurface"
-
-ActiveThorns = "LocalInterp AEILocalInterp CarpetInterp GSL LoopControl CarpetReduce AHFinderDirect"
-
-AHFinderDirect::print_timing_stats = "true"
-
-AHFinderDirect::h_base_file_name              = "h"
-AHFinderDirect::BH_diagnostics_base_file_name = "BH_diagnostics"
-AHFinderDirect::output_OpenDX_control_files   = "no"
-AHFinderDirect::Theta_norm_for_convergence = 1.0e-12
-
-AHFinderDirect::geometry_interpolator_name = "Lagrange polynomial interpolation"
-AHFinderDirect::geometry_interpolator_pars = "order=4"
-
-AHFinderDirect::N_horizons = 2
-
-AHFinderDirect::origin_x[0] = 0.5
-AHFinderDirect::origin_y[0] = 0.7
-AHFinderDirect::origin_z[0] = 0.0
-
-AHFinderDirect::initial_guess_method[0] = "coordinate sphere"
-AHFinderDirect::initial_guess__coord_sphere__x_center[0] = -0.2
-AHFinderDirect::initial_guess__coord_sphere__y_center[0] =  0.3
-AHFinderDirect::initial_guess__coord_sphere__z_center[0] =  0.0
-AHFinderDirect::initial_guess__coord_sphere__radius[0] = 2.0
-
-AHFinderDirect::origin_x[1] = 0.4
-AHFinderDirect::origin_y[1] = 0.6
-AHFinderDirect::origin_z[1] = 0.0
-
-AHFinderDirect::initial_guess_method[1] = "coordinate sphere"
-AHFinderDirect::initial_guess__coord_sphere__x_center[1] = -0.1
-AHFinderDirect::initial_guess__coord_sphere__y_center[1] =  0.2
-AHFinderDirect::initial_guess__coord_sphere__z_center[1] =  0.0
-AHFinderDirect::initial_guess__coord_sphere__radius[1] = 2.0
diff --git a/test/checkpoint2/ADM_BS_phi.x.asc b/test/checkpoint2/ADM_BS_phi.x.asc
deleted file mode 100644
index 0d6493b..0000000
--- a/test/checkpoint2/ADM_BS_phi.x.asc
+++ /dev/null
@@ -1,52 +0,0 @@
-# 1D ASCII output created by CarpetIOASCII
-# 
-# ADM_BSSN::ADM_BS_phi x (ADM_BS_phi)
-#
-# iteration 0
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: it	tl rl c ml	ix iy iz	time	x y z	data
-0	0 0 0 0	0 15 3	0	-0.6 0 0	0
-0	0 0 0 0	1 15 3	0	-0.4 0 0	0
-0	0 0 0 0	2 15 3	0	-0.2 0 0	0
-0	0 0 0 0	3 15 3	0	0 0 0	0
-0	0 0 0 0	4 15 3	0	0.2 0 0	0
-0	0 0 0 0	5 15 3	0	0.4 0 0	0
-0	0 0 0 0	6 15 3	0	0.6 0 0	0
-0	0 0 0 0	7 15 3	0	0.8 0 0	0.130363851624392
-0	0 0 0 0	8 15 3	0	1 0 0	0.104396914041281
-0	0 0 0 0	9 15 3	0	1.2 0 0	0.089426986060179
-0	0 0 0 0	10 15 3	0	1.4 0 0	0.0790192257126239
-0	0 0 0 0	11 15 3	0	1.6 0 0	0.0711445106729648
-0	0 0 0 0	12 15 3	0	1.8 0 0	0.0648868128770822
-0	0 0 0 0	13 15 3	0	2 0 0	0.0597502314947582
-0	0 0 0 0	14 15 3	0	2.2 0 0	0.0554346926262661
-0	0 0 0 0	15 15 3	0	2.4 0 0	0.0517444047880427
-0	0 0 0 0	16 15 3	0	2.6 0 0	0.0485444731857333
-0	0 0 0 0	17 15 3	0	2.8 0 0	0.0457380536195029
-0	0 0 0 0	18 15 3	0	3 0 0	0.0432533402490022
-
-
-# iteration 1
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: it	tl rl c ml	ix iy iz	time	x y z	data
-1	0 0 0 0	0 15 3	0.05	-0.6 0 0	0
-1	0 0 0 0	1 15 3	0.05	-0.4 0 0	0
-1	0 0 0 0	2 15 3	0.05	-0.2 0 0	0
-1	0 0 0 0	3 15 3	0.05	0 0 0	0
-1	0 0 0 0	4 15 3	0.05	0.2 0 0	0
-1	0 0 0 0	5 15 3	0.05	0.4 0 0	0
-1	0 0 0 0	6 15 3	0.05	0.6 0 0	0
-1	0 0 0 0	7 15 3	0.05	0.8 0 0	0.130363851624392
-1	0 0 0 0	8 15 3	0.05	1 0 0	0.104220488796629
-1	0 0 0 0	9 15 3	0.05	1.2 0 0	0.0892505608155271
-1	0 0 0 0	10 15 3	0.05	1.4 0 0	0.0789095857132584
-1	0 0 0 0	11 15 3	0.05	1.6 0 0	0.0710717753323479
-1	0 0 0 0	12 15 3	0.05	1.8 0 0	0.0648365375811699
-1	0 0 0 0	13 15 3	0.05	2 0 0	0.0597142640637997
-1	0 0 0 0	14 15 3	0.05	2.2 0 0	0.0554082209721993
-1	0 0 0 0	15 15 3	0.05	2.4 0 0	0.0517244520929427
-1	0 0 0 0	16 15 3	0.05	2.6 0 0	0.048529132257269
-1	0 0 0 0	17 15 3	0.05	2.8 0 0	0.0457263318069279
-1	0 0 0 0	18 15 3	0.05	3 0 0	0.0432533402490022
-
-
diff --git a/test/checkpoint2/ADM_BS_phi.y.asc b/test/checkpoint2/ADM_BS_phi.y.asc
deleted file mode 100644
index 5926cd5..0000000
--- a/test/checkpoint2/ADM_BS_phi.y.asc
+++ /dev/null
@@ -1,76 +0,0 @@
-# 1D ASCII output created by CarpetIOASCII
-# 
-# ADM_BSSN::ADM_BS_phi y (ADM_BS_phi)
-#
-# iteration 0
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: it	tl rl c ml	ix iy iz	time	x y z	data
-0	0 0 0 0	3 0 3	0	0 -3 0	0.0432533402490022
-0	0 0 0 0	3 1 3	0	0 -2.8 0	0.0457380536195029
-0	0 0 0 0	3 2 3	0	0 -2.6 0	0.0485444731857333
-0	0 0 0 0	3 3 3	0	0 -2.4 0	0.0517444047880427
-0	0 0 0 0	3 4 3	0	0 -2.2 0	0.055434692626266
-0	0 0 0 0	3 5 3	0	0 -2 0	0.0597502314947582
-0	0 0 0 0	3 6 3	0	0 -1.8 0	0.0648868128770822
-0	0 0 0 0	3 7 3	0	0 -1.6 0	0.0711445106729648
-0	0 0 0 0	3 8 3	0	0 -1.4 0	0.0790192257126238
-0	0 0 0 0	3 9 3	0	0 -1.2 0	0.089426986060179
-0	0 0 0 0	3 10 3	0	0 -1 0	0.104396914041281
-0	0 0 0 0	3 11 3	0	0 -0.8 0	0.130363851624392
-0	0 0 0 0	3 12 3	0	0 -0.6 0	0
-0	0 0 0 0	3 13 3	0	0 -0.4 0	0
-0	0 0 0 0	3 14 3	0	0 -0.2 0	0
-0	0 0 0 0	3 15 3	0	0 0 0	0
-0	0 0 0 0	3 16 3	0	0 0.2 0	0
-0	0 0 0 0	3 17 3	0	0 0.4 0	0
-0	0 0 0 0	3 18 3	0	0 0.6 0	0
-0	0 0 0 0	3 19 3	0	0 0.8 0	0.130363851624392
-0	0 0 0 0	3 20 3	0	0 1 0	0.104396914041281
-0	0 0 0 0	3 21 3	0	0 1.2 0	0.089426986060179
-0	0 0 0 0	3 22 3	0	0 1.4 0	0.0790192257126238
-0	0 0 0 0	3 23 3	0	0 1.6 0	0.0711445106729648
-0	0 0 0 0	3 24 3	0	0 1.8 0	0.0648868128770822
-0	0 0 0 0	3 25 3	0	0 2 0	0.0597502314947583
-0	0 0 0 0	3 26 3	0	0 2.2 0	0.0554346926262661
-0	0 0 0 0	3 27 3	0	0 2.4 0	0.0517444047880428
-0	0 0 0 0	3 28 3	0	0 2.6 0	0.0485444731857333
-0	0 0 0 0	3 29 3	0	0 2.8 0	0.0457380536195029
-0	0 0 0 0	3 30 3	0	0 3 0	0.0432533402490022
-
-
-# iteration 1
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: it	tl rl c ml	ix iy iz	time	x y z	data
-1	0 0 0 0	3 0 3	0.05	0 -3 0	0.0432533402490022
-1	0 0 0 0	3 1 3	0.05	0 -2.8 0	0.0457263318065289
-1	0 0 0 0	3 2 3	0.05	0 -2.6 0	0.0485291322573205
-1	0 0 0 0	3 3 3	0.05	0 -2.4 0	0.0517244520929351
-1	0 0 0 0	3 4 3	0.05	0 -2.2 0	0.0554082209725126
-1	0 0 0 0	3 5 3	0.05	0 -2 0	0.059714264063792
-1	0 0 0 0	3 6 3	0.05	0 -1.8 0	0.0648365375817624
-1	0 0 0 0	3 7 3	0.05	0 -1.6 0	0.071071775330888
-1	0 0 0 0	3 8 3	0.05	0 -1.4 0	0.0789095857133257
-1	0 0 0 0	3 9 3	0.05	0 -1.2 0	0.0892505608163802
-1	0 0 0 0	3 10 3	0.05	0 -1 0	0.104220488797482
-1	0 0 0 0	3 11 3	0.05	0 -0.8 0	0.130363851624392
-1	0 0 0 0	3 12 3	0.05	0 -0.6 0	0
-1	0 0 0 0	3 13 3	0.05	0 -0.4 0	0
-1	0 0 0 0	3 14 3	0.05	0 -0.2 0	0
-1	0 0 0 0	3 15 3	0.05	0 0 0	0
-1	0 0 0 0	3 16 3	0.05	0 0.2 0	0
-1	0 0 0 0	3 17 3	0.05	0 0.4 0	0
-1	0 0 0 0	3 18 3	0.05	0 0.6 0	0
-1	0 0 0 0	3 19 3	0.05	0 0.8 0	0.130363851624392
-1	0 0 0 0	3 20 3	0.05	0 1 0	0.104220488796584
-1	0 0 0 0	3 21 3	0.05	0 1.2 0	0.0892505608154827
-1	0 0 0 0	3 22 3	0.05	0 1.4 0	0.0789095857118638
-1	0 0 0 0	3 23 3	0.05	0 1.6 0	0.0710717753325539
-1	0 0 0 0	3 24 3	0.05	0 1.8 0	0.0648365375811426
-1	0 0 0 0	3 25 3	0.05	0 2 0	0.0597142640640769
-1	0 0 0 0	3 26 3	0.05	0 2.2 0	0.0554082209721188
-1	0 0 0 0	3 27 3	0.05	0 2.4 0	0.051724452093734
-1	0 0 0 0	3 28 3	0.05	0 2.6 0	0.048529132256278
-1	0 0 0 0	3 29 3	0.05	0 2.8 0	0.0457263318071654
-1	0 0 0 0	3 30 3	0.05	0 3 0	0.0432533402490022
-
-
diff --git a/test/checkpoint2/ADM_BS_phi.z.asc b/test/checkpoint2/ADM_BS_phi.z.asc
deleted file mode 100644
index e873b79..0000000
--- a/test/checkpoint2/ADM_BS_phi.z.asc
+++ /dev/null
@@ -1,52 +0,0 @@
-# 1D ASCII output created by CarpetIOASCII
-# 
-# ADM_BSSN::ADM_BS_phi z (ADM_BS_phi)
-#
-# iteration 0
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: it	tl rl c ml	ix iy iz	time	x y z	data
-0	0 0 0 0	3 15 0	0	0 0 -0.6	0
-0	0 0 0 0	3 15 1	0	0 0 -0.4	0
-0	0 0 0 0	3 15 2	0	0 0 -0.2	0
-0	0 0 0 0	3 15 3	0	0 0 0	0
-0	0 0 0 0	3 15 4	0	0 0 0.2	0
-0	0 0 0 0	3 15 5	0	0 0 0.4	0
-0	0 0 0 0	3 15 6	0	0 0 0.6	0
-0	0 0 0 0	3 15 7	0	0 0 0.8	0.0796259537522864
-0	0 0 0 0	3 15 8	0	0 0 1	0.075371356185596
-0	0 0 0 0	3 15 9	0	0 0 1.2	0.070608155032267
-0	0 0 0 0	3 15 10	0	0 0 1.4	0.0659656044477665
-0	0 0 0 0	3 15 11	0	0 0 1.6	0.0616648733536704
-0	0 0 0 0	3 15 12	0	0 0 1.8	0.0577622650466621
-0	0 0 0 0	3 15 13	0	0 0 2	0.0542488641446389
-0	0 0 0 0	3 15 14	0	0 0 2.2	0.0510920394072007
-0	0 0 0 0	3 15 15	0	0 0 2.4	0.0482528228160437
-0	0 0 0 0	3 15 16	0	0 0 2.6	0.0456930193901241
-0	0 0 0 0	3 15 17	0	0 0 2.8	0.0433778698244126
-0	0 0 0 0	3 15 18	0	0 0 3	0.0412767864358354
-
-
-# iteration 1
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: it	tl rl c ml	ix iy iz	time	x y z	data
-1	0 0 0 0	3 15 0	0.05	0 0 -0.6	0
-1	0 0 0 0	3 15 1	0.05	0 0 -0.4	0
-1	0 0 0 0	3 15 2	0.05	0 0 -0.2	0
-1	0 0 0 0	3 15 3	0.05	0 0 0	0
-1	0 0 0 0	3 15 4	0.05	0 0 0.2	0
-1	0 0 0 0	3 15 5	0.05	0 0 0.4	0
-1	0 0 0 0	3 15 6	0.05	0 0 0.6	0
-1	0 0 0 0	3 15 7	0.05	0 0 0.8	0.0796160463379387
-1	0 0 0 0	3 15 8	0.05	0 0 1	0.0753458414750121
-1	0 0 0 0	3 15 9	0.05	0 0 1.2	0.070582640321683
-1	0 0 0 0	3 15 10	0.05	0 0 1.4	0.0659345200664271
-1	0 0 0 0	3 15 11	0.05	0 0 1.6	0.0616364211560666
-1	0 0 0 0	3 15 12	0.05	0 0 1.8	0.0577381679321618
-1	0 0 0 0	3 15 13	0.05	0 0 2	0.0542290473265031
-1	0 0 0 0	3 15 14	0.05	0 0 2.2	0.0510759026136498
-1	0 0 0 0	3 15 15	0.05	0 0 2.4	0.0482396956746853
-1	0 0 0 0	3 15 16	0.05	0 0 2.6	0.045682310360457
-1	0 0 0 0	3 15 17	0.05	0 0 2.8	0.043369299549159
-1	0 0 0 0	3 15 18	0.05	0 0 3	0.0412767864358354
-
-
diff --git a/test/checkpoint2/BH_diagnostics.ah1.gp b/test/checkpoint2/BH_diagnostics.ah1.gp
deleted file mode 100644
index b17748a..0000000
--- a/test/checkpoint2/BH_diagnostics.ah1.gp
+++ /dev/null
@@ -1,44 +0,0 @@
-# apparent horizon 1/2
-#
-# column  1 = cctk_iteration
-# column  2 = cctk_time
-# column  3 = centroid_x
-# column  4 = centroid_y
-# column  5 = centroid_z
-# column  6 = min radius
-# column  7 = max radius
-# column  8 = mean radius
-# column  9 = quadrupole_xx
-# column 10 = quadrupole_xy
-# column 11 = quadrupole_xz
-# column 12 = quadrupole_yy
-# column 13 = quadrupole_yz
-# column 14 = quadrupole_zz
-# column 15 = min x
-# column 16 = max x
-# column 17 = min y
-# column 18 = max y
-# column 19 = min z
-# column 20 = max z
-# column 21 = xy-plane circumference
-# column 22 = xz-plane circumference
-# column 23 = yz-plane circumference
-# column 24 = ratio of xz/xy-plane circumferences
-# column 25 = ratio of yz/xy-plane circumferences
-# column 26 = area
-# column 27 = m_irreducible
-# column 28 = areal radius
-# column 29 = expansion Theta_(l)
-# column 30 = inner expansion Theta_(n)
-# column 31 = product of the expansions
-# column 32 = mean curvature
-# column 33 = gradient of the areal radius
-# column 34 = gradient of the expansion Theta_(l)
-# column 35 = gradient of the inner expansion Theta_(n)
-# column 36 = gradient of the product of the expansions
-# column 37 = gradient of the mean curvature
-# column 38 = minimum  of the mean curvature    
-# column 39 = maximum  of the mean curvature
-# column 40 = integral of the mean curvature
-0	0.000	0.000018	0.000023	0.000000	1.176340618	2.618119667	1.957482015	1.199913977	5.844949259e-06	0.000000000	1.199902758	0.000000000	1.079942806	-1.897121623	1.896433858	-1.896753895	1.896512642	-1.797497951	1.797497951	12.56584282	11.05065076	11.36953689	0.8794197824	0.9047970004	45.23598920	0.9486524183	1.897304837	1.523214105e-16	-1.469529399	-1.810963974e-16	0.7347646997	0.000000000	0.000000000	0.000000000	0.000000000	0.000000000
-1	0.050	0.000019	0.000024	0.000000	1.176376382	2.618150327	1.957464086	1.199886145	5.854922778e-06	0.000000000	1.199874876	0.000000000	1.079927681	-1.896954588	1.896253793	-1.896602991	1.896364371	-1.797350075	1.797350075	12.56415138	11.04966423	11.36846649	0.8794596541	0.9048336134	45.22900203	0.9485791509	1.897158302	-5.271330998e-15	-1.469716579	7.745246368e-15	0.7348582893	0.000000000	0.000000000	0.000000000	0.000000000	0.000000000
diff --git a/test/checkpoint2/BH_diagnostics.ah2.gp b/test/checkpoint2/BH_diagnostics.ah2.gp
deleted file mode 100644
index 54e8968..0000000
--- a/test/checkpoint2/BH_diagnostics.ah2.gp
+++ /dev/null
@@ -1,41 +0,0 @@
-# apparent horizon 2/2
-#
-# column  1 = cctk_iteration
-# column  2 = cctk_time
-# column  3 = centroid_x
-# column  4 = centroid_y
-# column  5 = centroid_z
-# column  6 = min radius
-# column  7 = max radius
-# column  8 = mean radius
-# column  9 = quadrupole_xx
-# column 10 = quadrupole_xy
-# column 11 = quadrupole_xz
-# column 12 = quadrupole_yy
-# column 13 = quadrupole_yz
-# column 14 = quadrupole_zz
-# column 15 = min x
-# column 16 = max x
-# column 17 = min y
-# column 18 = max y
-# column 19 = min z
-# column 20 = max z
-# column 21 = xy-plane circumference
-# column 22 = xz-plane circumference
-# column 23 = yz-plane circumference
-# column 24 = ratio of xz/xy-plane circumferences
-# column 25 = ratio of yz/xy-plane circumferences
-# column 26 = area
-# column 27 = m_irreducible
-# column 28 = areal radius
-# column 29 = expansion Theta_(l)
-# column 30 = inner expansion Theta_(n)
-# column 31 = product of the expansions
-# column 32 = mean curvature
-# column 33 = gradient of the areal radius
-# column 34 = gradient of the expansion Theta_(l)
-# column 35 = gradient of the inner expansion Theta_(n)
-# column 36 = gradient of the product of the expansions
-# column 37 = gradient of the mean curvature
-0	0.000	-0.000000	-0.000000	0.000000	1.799934848	1.897350545	1.865228192	1.199966475	1.876627370e-10	0.000000000	1.199966475	0.000000000	1.079979253	-1.897258171	1.897258171	-1.897258170	1.897258170	-1.799934848	1.799934848	12.56611222	11.61734755	11.61734755	0.9244981536	0.9244981536	45.23786021	0.9486720368	1.897344074	2.035243814e-16	-1.467139979	-2.541636530e-16	0.7335699896	0.000000000	0.000000000	0.000000000	0.000000000	0.000000000
-1	0.050	0.000000	0.000000	0.000000	1.799782609	1.897391633	1.865208933	1.199938339	1.483362361e-10	0.000000000	1.199938339	-0.000000000	1.079963746	-1.897095303	1.897095303	-1.897095303	1.897095303	-1.799782609	1.799782609	12.56441988	11.61622012	11.61622012	0.9245329455	0.9245329455	45.23086154	0.9485986503	1.897197301	-5.387701386e-17	-1.467342461	1.623213761e-16	0.7336712304	0.000000000	0.000000000	0.000000000	0.000000000	0.000000000
diff --git a/test/checkpoint2/checkpoint.chkpt.it_1.h5 b/test/checkpoint2/checkpoint.chkpt.it_1.h5
deleted file mode 100644
index dba848b..0000000
--- a/test/checkpoint2/checkpoint.chkpt.it_1.h5
+++ /dev/null
diff --git a/test/checkpoint2/emask.x.asc b/test/checkpoint2/emask.x.asc
deleted file mode 100644
index 66c984a..0000000
--- a/test/checkpoint2/emask.x.asc
+++ /dev/null
@@ -1,52 +0,0 @@
-# 1D ASCII output created by CarpetIOASCII
-# 
-# SPACEMASK::emask x (emask)
-#
-# iteration 0
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: it	tl rl c ml	ix iy iz	time	x y z	data
-0	0 0 0 0	0 15 3	0	-0.6 0 0	0
-0	0 0 0 0	1 15 3	0	-0.4 0 0	0
-0	0 0 0 0	2 15 3	0	-0.2 0 0	0
-0	0 0 0 0	3 15 3	0	0 0 0	0
-0	0 0 0 0	4 15 3	0	0.2 0 0	0
-0	0 0 0 0	5 15 3	0	0.4 0 0	0
-0	0 0 0 0	6 15 3	0	0.6 0 0	0
-0	0 0 0 0	7 15 3	0	0.8 0 0	0.5
-0	0 0 0 0	8 15 3	0	1 0 0	0.5
-0	0 0 0 0	9 15 3	0	1.2 0 0	1
-0	0 0 0 0	10 15 3	0	1.4 0 0	1
-0	0 0 0 0	11 15 3	0	1.6 0 0	1
-0	0 0 0 0	12 15 3	0	1.8 0 0	1
-0	0 0 0 0	13 15 3	0	2 0 0	1
-0	0 0 0 0	14 15 3	0	2.2 0 0	1
-0	0 0 0 0	15 15 3	0	2.4 0 0	1
-0	0 0 0 0	16 15 3	0	2.6 0 0	1
-0	0 0 0 0	17 15 3	0	2.8 0 0	1
-0	0 0 0 0	18 15 3	0	3 0 0	1
-
-
-# iteration 1
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: it	tl rl c ml	ix iy iz	time	x y z	data
-1	0 0 0 0	0 15 3	0.05	-0.6 0 0	0
-1	0 0 0 0	1 15 3	0.05	-0.4 0 0	0
-1	0 0 0 0	2 15 3	0.05	-0.2 0 0	0
-1	0 0 0 0	3 15 3	0.05	0 0 0	0
-1	0 0 0 0	4 15 3	0.05	0.2 0 0	0
-1	0 0 0 0	5 15 3	0.05	0.4 0 0	0
-1	0 0 0 0	6 15 3	0.05	0.6 0 0	0
-1	0 0 0 0	7 15 3	0.05	0.8 0 0	0.5
-1	0 0 0 0	8 15 3	0.05	1 0 0	0.5
-1	0 0 0 0	9 15 3	0.05	1.2 0 0	1
-1	0 0 0 0	10 15 3	0.05	1.4 0 0	1
-1	0 0 0 0	11 15 3	0.05	1.6 0 0	1
-1	0 0 0 0	12 15 3	0.05	1.8 0 0	1
-1	0 0 0 0	13 15 3	0.05	2 0 0	1
-1	0 0 0 0	14 15 3	0.05	2.2 0 0	1
-1	0 0 0 0	15 15 3	0.05	2.4 0 0	1
-1	0 0 0 0	16 15 3	0.05	2.6 0 0	1
-1	0 0 0 0	17 15 3	0.05	2.8 0 0	1
-1	0 0 0 0	18 15 3	0.05	3 0 0	1
-
-
diff --git a/test/checkpoint2/emask.y.asc b/test/checkpoint2/emask.y.asc
deleted file mode 100644
index 3f4101a..0000000
--- a/test/checkpoint2/emask.y.asc
+++ /dev/null
@@ -1,76 +0,0 @@
-# 1D ASCII output created by CarpetIOASCII
-# 
-# SPACEMASK::emask y (emask)
-#
-# iteration 0
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: it	tl rl c ml	ix iy iz	time	x y z	data
-0	0 0 0 0	3 0 3	0	0 -3 0	1
-0	0 0 0 0	3 1 3	0	0 -2.8 0	1
-0	0 0 0 0	3 2 3	0	0 -2.6 0	1
-0	0 0 0 0	3 3 3	0	0 -2.4 0	1
-0	0 0 0 0	3 4 3	0	0 -2.2 0	1
-0	0 0 0 0	3 5 3	0	0 -2 0	1
-0	0 0 0 0	3 6 3	0	0 -1.8 0	1
-0	0 0 0 0	3 7 3	0	0 -1.6 0	1
-0	0 0 0 0	3 8 3	0	0 -1.4 0	1
-0	0 0 0 0	3 9 3	0	0 -1.2 0	1
-0	0 0 0 0	3 10 3	0	0 -1 0	0.5
-0	0 0 0 0	3 11 3	0	0 -0.8 0	0.5
-0	0 0 0 0	3 12 3	0	0 -0.6 0	0
-0	0 0 0 0	3 13 3	0	0 -0.4 0	0
-0	0 0 0 0	3 14 3	0	0 -0.2 0	0
-0	0 0 0 0	3 15 3	0	0 0 0	0
-0	0 0 0 0	3 16 3	0	0 0.2 0	0
-0	0 0 0 0	3 17 3	0	0 0.4 0	0
-0	0 0 0 0	3 18 3	0	0 0.6 0	0
-0	0 0 0 0	3 19 3	0	0 0.8 0	0.5
-0	0 0 0 0	3 20 3	0	0 1 0	0.5
-0	0 0 0 0	3 21 3	0	0 1.2 0	1
-0	0 0 0 0	3 22 3	0	0 1.4 0	1
-0	0 0 0 0	3 23 3	0	0 1.6 0	1
-0	0 0 0 0	3 24 3	0	0 1.8 0	1
-0	0 0 0 0	3 25 3	0	0 2 0	1
-0	0 0 0 0	3 26 3	0	0 2.2 0	1
-0	0 0 0 0	3 27 3	0	0 2.4 0	1
-0	0 0 0 0	3 28 3	0	0 2.6 0	1
-0	0 0 0 0	3 29 3	0	0 2.8 0	1
-0	0 0 0 0	3 30 3	0	0 3 0	1
-
-
-# iteration 1
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: it	tl rl c ml	ix iy iz	time	x y z	data
-1	0 0 0 0	3 0 3	0.05	0 -3 0	1
-1	0 0 0 0	3 1 3	0.05	0 -2.8 0	1
-1	0 0 0 0	3 2 3	0.05	0 -2.6 0	1
-1	0 0 0 0	3 3 3	0.05	0 -2.4 0	1
-1	0 0 0 0	3 4 3	0.05	0 -2.2 0	1
-1	0 0 0 0	3 5 3	0.05	0 -2 0	1
-1	0 0 0 0	3 6 3	0.05	0 -1.8 0	1
-1	0 0 0 0	3 7 3	0.05	0 -1.6 0	1
-1	0 0 0 0	3 8 3	0.05	0 -1.4 0	1
-1	0 0 0 0	3 9 3	0.05	0 -1.2 0	1
-1	0 0 0 0	3 10 3	0.05	0 -1 0	0.5
-1	0 0 0 0	3 11 3	0.05	0 -0.8 0	0.5
-1	0 0 0 0	3 12 3	0.05	0 -0.6 0	0
-1	0 0 0 0	3 13 3	0.05	0 -0.4 0	0
-1	0 0 0 0	3 14 3	0.05	0 -0.2 0	0
-1	0 0 0 0	3 15 3	0.05	0 0 0	0
-1	0 0 0 0	3 16 3	0.05	0 0.2 0	0
-1	0 0 0 0	3 17 3	0.05	0 0.4 0	0
-1	0 0 0 0	3 18 3	0.05	0 0.6 0	0
-1	0 0 0 0	3 19 3	0.05	0 0.8 0	0.5
-1	0 0 0 0	3 20 3	0.05	0 1 0	0.5
-1	0 0 0 0	3 21 3	0.05	0 1.2 0	1
-1	0 0 0 0	3 22 3	0.05	0 1.4 0	1
-1	0 0 0 0	3 23 3	0.05	0 1.6 0	1
-1	0 0 0 0	3 24 3	0.05	0 1.8 0	1
-1	0 0 0 0	3 25 3	0.05	0 2 0	1
-1	0 0 0 0	3 26 3	0.05	0 2.2 0	1
-1	0 0 0 0	3 27 3	0.05	0 2.4 0	1
-1	0 0 0 0	3 28 3	0.05	0 2.6 0	1
-1	0 0 0 0	3 29 3	0.05	0 2.8 0	1
-1	0 0 0 0	3 30 3	0.05	0 3 0	1
-
-
diff --git a/test/checkpoint2/emask.z.asc b/test/checkpoint2/emask.z.asc
deleted file mode 100644
index 1c10c97..0000000
--- a/test/checkpoint2/emask.z.asc
+++ /dev/null
@@ -1,52 +0,0 @@
-# 1D ASCII output created by CarpetIOASCII
-# 
-# SPACEMASK::emask z (emask)
-#
-# iteration 0
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: it	tl rl c ml	ix iy iz	time	x y z	data
-0	0 0 0 0	3 15 0	0	0 0 -0.6	0
-0	0 0 0 0	3 15 1	0	0 0 -0.4	0
-0	0 0 0 0	3 15 2	0	0 0 -0.2	0
-0	0 0 0 0	3 15 3	0	0 0 0	0
-0	0 0 0 0	3 15 4	0	0 0 0.2	0
-0	0 0 0 0	3 15 5	0	0 0 0.4	0
-0	0 0 0 0	3 15 6	0	0 0 0.6	0
-0	0 0 0 0	3 15 7	0	0 0 0.8	0.5
-0	0 0 0 0	3 15 8	0	0 0 1	0.5
-0	0 0 0 0	3 15 9	0	0 0 1.2	1
-0	0 0 0 0	3 15 10	0	0 0 1.4	1
-0	0 0 0 0	3 15 11	0	0 0 1.6	1
-0	0 0 0 0	3 15 12	0	0 0 1.8	1
-0	0 0 0 0	3 15 13	0	0 0 2	1
-0	0 0 0 0	3 15 14	0	0 0 2.2	1
-0	0 0 0 0	3 15 15	0	0 0 2.4	1
-0	0 0 0 0	3 15 16	0	0 0 2.6	1
-0	0 0 0 0	3 15 17	0	0 0 2.8	1
-0	0 0 0 0	3 15 18	0	0 0 3	1
-
-
-# iteration 1
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: it	tl rl c ml	ix iy iz	time	x y z	data
-1	0 0 0 0	3 15 0	0.05	0 0 -0.6	0
-1	0 0 0 0	3 15 1	0.05	0 0 -0.4	0
-1	0 0 0 0	3 15 2	0.05	0 0 -0.2	0
-1	0 0 0 0	3 15 3	0.05	0 0 0	0
-1	0 0 0 0	3 15 4	0.05	0 0 0.2	0
-1	0 0 0 0	3 15 5	0.05	0 0 0.4	0
-1	0 0 0 0	3 15 6	0.05	0 0 0.6	0
-1	0 0 0 0	3 15 7	0.05	0 0 0.8	0.5
-1	0 0 0 0	3 15 8	0.05	0 0 1	0.5
-1	0 0 0 0	3 15 9	0.05	0 0 1.2	1
-1	0 0 0 0	3 15 10	0.05	0 0 1.4	1
-1	0 0 0 0	3 15 11	0.05	0 0 1.6	1
-1	0 0 0 0	3 15 12	0.05	0 0 1.8	1
-1	0 0 0 0	3 15 13	0.05	0 0 2	1
-1	0 0 0 0	3 15 14	0.05	0 0 2.2	1
-1	0 0 0 0	3 15 15	0.05	0 0 2.4	1
-1	0 0 0 0	3 15 16	0.05	0 0 2.6	1
-1	0 0 0 0	3 15 17	0.05	0 0 2.8	1
-1	0 0 0 0	3 15 18	0.05	0 0 3	1
-
-
diff --git a/test/checkpoint2/h.ah1.dx b/test/checkpoint2/h.ah1.dx
deleted file mode 100644
index 42d895a..0000000
--- a/test/checkpoint2/h.ah1.dx
+++ /dev/null
@@ -1,15 +0,0 @@
-# list the size of each patch (N_rho x N_sigma)
-object "+z patch" class array type int rank 1 shape 2 items 1 data follows 19 19
-object "+x patch" class array type int rank 1 shape 2 items 1 data follows 10 19
-object "+y patch" class array type int rank 1 shape 2 items 1 data follows 10 19
-object "-x patch" class array type int rank 1 shape 2 items 1 data follows 10 19
-object "-y patch" class array type int rank 1 shape 2 items 1 data follows 10 19
-
-# collect all patch sizes into a single OpenDX group
-# for the ImportAHFinderDirectGnuplot macro to read
-object "patchsizes" class group
-member 0 value "+z patch"
-member 1 value "+x patch"
-member 2 value "+y patch"
-member 3 value "-x patch"
-member 4 value "-y patch"
diff --git a/test/checkpoint2/h.ah2.dx b/test/checkpoint2/h.ah2.dx
deleted file mode 100644
index 42d895a..0000000
--- a/test/checkpoint2/h.ah2.dx
+++ /dev/null
@@ -1,15 +0,0 @@
-# list the size of each patch (N_rho x N_sigma)
-object "+z patch" class array type int rank 1 shape 2 items 1 data follows 19 19
-object "+x patch" class array type int rank 1 shape 2 items 1 data follows 10 19
-object "+y patch" class array type int rank 1 shape 2 items 1 data follows 10 19
-object "-x patch" class array type int rank 1 shape 2 items 1 data follows 10 19
-object "-y patch" class array type int rank 1 shape 2 items 1 data follows 10 19
-
-# collect all patch sizes into a single OpenDX group
-# for the ImportAHFinderDirectGnuplot macro to read
-object "patchsizes" class group
-member 0 value "+z patch"
-member 1 value "+x patch"
-member 2 value "+y patch"
-member 3 value "-x patch"
-member 4 value "-y patch"
diff --git a/test/checkpoint2/h.t0.ah1.gp b/test/checkpoint2/h.t0.ah1.gp
deleted file mode 100644
index de2bac7..0000000
--- a/test/checkpoint2/h.t0.ah1.gp
+++ /dev/null
@@ -1,1228 +0,0 @@
-# N_patches = 5
-# origin = 0.4 0.6 0
-
-### +z patch
-# N_rho = 19
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = dsigma = dnu
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--45	-45	2.36774053598978	-0.9670156358	-0.7670156358	1.367015636
--40	-45	2.35122087381568	-0.7997659523	-0.8298253839	1.429825384
--35	-45	2.33200297469580	-0.6347391178	-0.8777606085	1.477760609
--30	-45	2.31072882978876	-0.4733734044	-0.9127271104	1.512727110
--25	-45	2.28785384474025	-0.3164313947	-0.9363920840	1.536392084
--20	-45	2.26368579949801	-0.1642091286	-0.9501518406	1.550151841
--15	-45	2.23841735658443	-0.01669658508	-0.9551328268	1.555132827
--10	-45	2.21215091200107	0.1263037737	-0.9522084321	1.552208432
--5	-45	2.18491793368933	0.2650905261	-0.9420223427	1.542022343
-0	-45	2.15669649417564	0.4000000000	-0.9250147160	1.525014716
-5	-45	2.12742066469205	0.5313592599	-0.9014432106	1.501443211
-10	-45	2.09698637225448	0.6594476053	-0.8714004869	1.471400487
-15	-45	2.06526174582898	0.7844624928	-0.8348335566	1.434833557
-20	-45	2.03208969107849	0.9064852879	-0.7915568917	1.391556892
-25	-45	1.99729504939619	1.025444183	-0.7412693780	1.341269378
-30	-45	1.96069254298067	1.141072124	-0.6835745704	1.283574570
-35	-45	1.92209845977759	1.252859317	-0.6180093338	1.218009334
-40	-45	1.88134396947486	1.360000170	-0.5440836518	1.144083652
-45	-45	1.83830472360879	1.461345727	-0.4613457270	1.061345727
-
--45	-40	2.32681304637762	-1.014982486	-0.5873112822	1.414982486
--40	-40	2.30881508692193	-0.8484137274	-0.6484137274	1.487801545
--35	-40	2.28804061672008	-0.6815203944	-0.6960491204	1.544571195
--30	-40	2.26511495654892	-0.5161976540	-0.7315679486	1.586900886
--25	-40	2.24050506260204	-0.3536935128	-0.7562375345	1.616300954
--20	-40	2.21454490170041	-0.1947678704	-0.7711821839	1.634111294
--15	-40	2.18746069776519	-0.03983045378	-0.7773565362	1.641469600
--10	-40	2.15939208489336	0.1109465979	-0.7755387978	1.639303304
--5	-40	2.13040989354980	0.2575390811	-0.7663359303	1.628335754
-0	-40	2.10053484593718	0.4000000000	-0.7501977727	1.609103046
-5	-40	2.06974633878964	0.5384043353	-0.7274294294	1.581968791
-10	-40	2.03799065475331	0.6728027653	-0.6982057473	1.547141363
-15	-40	2.00519249552974	0.8031819754	-0.6625895372	1.504695617
-20	-40	1.97126013164066	0.9294280507	-0.6205472873	1.454591615
-25	-40	1.93609554067447	1.051291833	-0.5719703233	1.396699843
-30	-40	1.89960227291468	1.168354445	-0.5166980706	1.330828937
-35	-40	1.86169794841213	1.279994999	-0.4545494564	1.256763103
-40	-40	1.82232977314013	1.385363236	-0.3853632357	1.174310176
-45	-40	1.78149208809736	1.483361686	-0.3090483907	1.083361686
-
--45	-35	2.28515932585390	-1.048076384	-0.4139540002	1.448076384
--40	-35	2.26523610667442	-0.8831316202	-0.4707410653	1.529176718
--35	-35	2.24256784724616	-0.7157735132	-0.5157735132	1.593489719
--30	-35	2.21775989372435	-0.5481701018	-0.5499359889	1.642278790
--25	-35	2.19128430779571	-0.3819180466	-0.5741280695	1.676828662
--20	-35	2.16349597239135	-0.2181503974	-0.5892004545	1.698354259
--15	-35	2.13465110478996	-0.05764286415	-0.5959169587	1.707946421
--10	-35	2.10492470115087	0.09909027262	-0.5949348794	1.706543866
--5	-35	2.07442673300423	0.2517133791	-0.5867984447	1.694923833
-0	-35	2.04322036035844	0.4000000000	-0.5719430530	1.673708135
-5	-35	2.01132974215353	0.5437762473	-0.5507000810	1.643370027
-10	-35	1.97874983725944	0.6828723867	-0.5233072598	1.604249024
-15	-35	1.94545812301066	0.8170822227	-0.4899234804	1.556572046
-20	-35	1.91142176374595	0.9461281823	-0.4506438002	1.500474849
-25	-35	1.87660517526440	1.069630795	-0.4055175423	1.436027874
-30	-35	1.84098215299650	1.187084409	-0.3545720611	1.363270186
-35	-35	1.80454176577439	1.297836785	-0.2978367848	1.282243815
-40	-35	1.76730555747890	1.401081360	-0.2353772173	1.193042308
-45	-35	1.72933339735950	1.495856567	-0.1673270289	1.095856567
-
--45	-30	2.24330801468346	-1.068589826	-0.2478907316	1.468589826
--40	-30	2.22110219810123	-0.9056946575	-0.2983952966	1.556066299
--35	-30	2.19626740219231	-0.7387918657	-0.3389813082	1.626363333
--30	-30	2.16939209173755	-0.5701816374	-0.3701816374	1.680403889
--25	-30	2.14095257659212	-0.4016873608	-0.3925944931	1.719224093
--20	-30	2.11132342234803	-0.2347199365	-0.4068288330	1.743878693
--15	-30	2.08078959594223	-0.07035130263	-0.4134662050	1.755374959
--10	-30	2.04956000754158	0.09061115674	-0.4130368661	1.754631322
--5	-30	2.01778278576970	0.2475547791	-0.4060079305	1.742456848
-0	-30	1.98556064870947	0.4000000000	-0.3927803244	1.719545963
-5	-30	1.95295855621570	0.5475476948	-0.3736884512	1.686477868
-10	-30	1.92001396299097	0.6898333773	-0.3490060895	1.643726764
-15	-30	1.88674850372680	0.8264893568	-0.3189568468	1.591679949
-20	-30	1.85317437170415	0.9571134707	-0.2837250467	1.530656681
-25	-30	1.81930160994545	1.081244004	-0.2434697616	1.460932482
-30	-30	1.78514910824751	1.198342951	-0.1983429512	1.382770553
-35	-30	1.75074755937857	1.307784306	-0.1485059570	1.296450347
-40	-30	1.71615464804938	1.408856755	-0.09415322957	1.202308662
-45	-30	1.68145218775133	1.500768847	-0.03552919003	1.100768847
-
--45	-25	2.20157245313730	-1.078450425	-0.08941275543	1.478450425
--40	-25	2.17682629122044	-0.9176910740	-0.1322723263	1.570363071
--35	-25	2.14963407318379	-0.7518111528	-0.1670559541	1.644956802
--30	-25	2.12057283497370	-0.5831459796	-0.1940560936	1.702858788
--25	-25	2.09012525908650	-0.4136473482	-0.2136473482	1.744872369
--20	-25	2.05868587290249	-0.2449148733	-0.2262454343	1.771889052
--15	-25	2.02656683413624	-0.07824073451	-0.2322746373	1.784818719
--10	-25	1.99400894117168	0.08533699968	-0.2321458588	1.784542553
--5	-25	1.96119514020505	0.2449801419	-0.2262435852	1.771885086
-0	-25	1.92826294503175	0.4000000000	-0.2149191340	1.747599723
-5	-25	1.89531176231639	0.5498122010	-0.1984871844	1.712361293
-10	-25	1.86241223513770	0.6938964864	-0.1772275223	1.666769800
-15	-25	1.82961785711242	0.8317635980	-0.1513912262	1.611363685
-20	-25	1.79697056078567	0.9629285442	-0.1212070287	1.546633464
-25	-25	1.76450621236876	1.086889838	-0.08688983797	1.473040011
-30	-25	1.73226509272302	1.203117645	-0.04865286862	1.391040566
-35	-25	1.70029323768170	1.311046554	-0.006717239889	1.301109320
-40	-25	1.66865390942687	1.410080763	0.03867405272	1.203767379
-45	-25	1.63742289201364	1.499599773	0.08724820472	1.099599773
-
--45	-20	2.16011007608687	-1.079224109	0.06160645442	1.479224109
--40	-20	2.13266405567139	-0.9204839311	0.02722314741	1.573691469
--35	-20	2.10301019238487	-0.7559534700	-0.0008685029801	1.650872644
--30	-20	2.07172041937242	-0.5879433109	-0.02281422125	1.711168009
--25	-20	2.03928627445646	-0.4184594821	-0.03883765201	1.755192024
--20	-20	2.00612098541068	-0.2492120005	-0.04921200046	1.783695312
--15	-20	1.97256142725637	-0.08163812440	-0.05423575037	1.797497951
--10	-20	1.93887628803531	0.08306263285	-0.05421506855	1.797441128
--5	-20	1.90527753115467	0.2438891427	-0.04945220329	1.784355264
-0	-20	1.87193029901303	0.4000000000	-0.04023786916	1.759039089
-5	-20	1.83895939255499	0.5506770130	-0.02684633064	1.722246139
-10	-20	1.80645785545186	0.6952916595	-0.009534479855	1.674682220
-15	-20	1.77449769205771	0.8332771230	0.01145567735	1.617012237
-20	-20	1.74313487167787	0.9641055975	0.03589440251	1.549867391
-25	-20	1.71241403872035	1.087270603	0.06356008106	1.473856564
-30	-20	1.68237742973447	1.202276945	0.09423262958	1.389584430
-35	-20	1.65306515542150	1.308633924	0.1276890293	1.297663727
-40	-20	1.62452742997423	1.405860422	0.1636951325	1.198737772
-45	-20	1.59681553681558	1.493485034	0.2020039960	1.093485034
-
--45	-15	2.11897068500660	-1.072147659	0.2055392236	1.472147659
--40	-15	2.08875417946018	-0.9152049883	0.1800163635	1.567400270
--35	-15	2.05661884515893	-0.7522001647	0.1590862897	1.645512369
--30	-15	2.02313613566560	-0.5853855986	0.1426809521	1.706737922
--25	-15	1.98880625844382	-0.4167670464	0.1306702203	1.751562583
--20	-15	1.95405796259963	-0.2480987409	0.1228798459	1.780636656
--15	-15	1.91924758403345	-0.08089206215	0.1191079379	1.794713609
--10	-15	1.88466478661716	0.08356305232	0.1191375464	1.794603108
--5	-15	1.85054201751609	0.2441706500	0.1227456130	1.781137620
-0	-15	1.81706263413810	0.4000000000	0.1297095841	1.755147726
-5	-15	1.78436622714240	0.5502568581	0.1398123351	1.717443746
-10	-15	1.75255650727177	0.6942558463	0.1528442892	1.668807831
-15	-15	1.72171167403533	0.8313969100	0.1686030900	1.609995186
-20	-15	1.69188808673656	0.9611453497	0.1868935722	1.541734177
-25	-15	1.66312542093554	1.083015770	0.2075262313	1.464732045
-30	-15	1.63545478010680	1.196562109	0.2303142385	1.379686045
-35	-15	1.60889891578986	1.301369546	0.2550719196	1.287289121
-40	-15	1.58348263547742	1.397055700	0.2816107888	1.188244713
-45	-15	1.55922543004343	1.483266552	0.3097396023	1.083266552
-
--45	-10	2.07812773820723	-1.058167877	0.3428856609	1.458167877
--40	-10	2.04515007643123	-0.9027663189	0.3262388839	1.552576441
--35	-10	2.01059297575861	-0.7413841425	0.3125754741	1.630065488
--30	-10	1.97502870567306	-0.5761982489	0.3018619389	1.690824965
--25	-10	1.93896289386043	-0.4091738754	0.2940234975	1.735278976
--20	-10	1.90283306219203	-0.2420533739	0.2889544193	1.764027147
--15	-10	1.86700631682879	-0.07635698658	0.2865279256	1.777788476
--10	-10	1.83178313902848	0.08660412491	0.2866041249	1.777356329
--5	-10	1.79740524426130	0.2457080687	0.2890359356	1.763564845
-0	-10	1.76406293250545	0.4000000000	0.2936736865	1.737262853
-5	-10	1.73189923913464	0.5486687987	0.3003689467	1.699292145
-10	-10	1.70101739691227	0.6910234428	0.3089765572	1.650475960
-15	-10	1.67149135977089	0.8264723585	0.3193550664	1.591616510
-20	-10	1.64336777685310	0.9545046734	0.3313677723	1.523489069
-25	-10	1.61667284049358	1.074674813	0.3448822239	1.446844805
-30	-10	1.59141917327649	1.186591408	0.3597692503	1.362416283
-35	-10	1.56760692548138	1.289907459	0.3759025906	1.270919564
-40	-10	1.54523170373324	1.384316917	0.3931573038	1.173063222
-45	-10	1.52428314305857	1.469549611	0.4114095464	1.069549611
-
--45	-5	2.03750334768809	-1.037983385	0.4741927555	1.437983385
--40	-5	2.00184614137711	-0.8838817160	0.4661361639	1.530070648
--35	-5	1.96500100463059	-0.7241949880	0.4595354782	1.605516831
--30	-5	1.92753814661295	-0.5610145728	0.4543728390	1.664526067
--25	-5	1.88996189398499	-0.3962333065	0.4506106717	1.707527836
--20	-5	1.85270735104592	-0.2315325991	0.4481965340	1.735121556
--15	-5	1.81614007075027	-0.06838213232	0.4470675489	1.748025915
--10	-5	1.78055809849404	0.09195061326	0.4471542526	1.747034887
--5	-5	1.74619895778808	0.2483834923	0.4483834923	1.732984613
-0	-5	1.71324738201501	0.4000000000	0.4506806519	1.706727958
-5	-5	1.68183856266423	0.5460283138	0.4539716862	1.669111265
-10	-5	1.65206658908514	0.6858194293	0.4581841543	1.620962533
-15	-5	1.62399247727164	0.8188273094	0.4632478000	1.563084798
-20	-5	1.59764718996971	0.9445902083	0.4690951484	1.496249300
-25	-5	1.57304062661503	1.062715658	0.4756612589	1.421198314
-30	-5	1.55016447149790	1.172867012	0.4828837440	1.338644932
-35	-5	1.52899729913962	1.274753293	0.4907024098	1.249277172
-40	-5	1.50950918563574	1.368121977	0.4990588308	1.153762844
-45	-5	1.49166481662662	1.452753717	0.5078959843	1.052753717
-
--45	0	1.99698723092236	-1.012083213	0.6000000000	1.412083213
--40	0	1.95879883457746	-0.8590916207	0.6000000000	1.500526962
--35	0	1.91986865131023	-0.7011914193	0.6000000000	1.572664330
--30	0	1.88075687872847	-0.5403784394	0.6000000000	1.628783235
--25	0	1.84195465461209	-0.3784436743	0.6000000000	1.669377847
--20	0	1.80388129026632	-0.2169637374	0.6000000000	1.695093937
--15	0	1.76688470743452	-0.05730341278	0.6000000000	1.706679571
--10	0	1.73124482460442	0.09937249111	0.6000000000	1.704943326
--5	0	1.69718018390558	0.2520810005	0.6000000000	1.690721901
-0	0	1.66485718742288	0.4000000000	0.6000000000	1.664857187
-5	0	1.63439319706684	0.5424467530	0.6000000000	1.628173838
-10	0	1.60586456688937	0.6788554556	0.6000000000	1.581467876
-15	0	1.57931447626547	0.8087566647	0.6000000000	1.525500640
-20	0	1.55475674434190	0.9317581245	0.6000000000	1.460993440
-25	0	1.53218556851921	1.047529602	0.6000000000	1.388631712
-30	0	1.51157494623813	1.155787473	0.6000000000	1.309062303
-35	0	1.49288780070346	1.256285265	0.6000000000	1.222902094
-40	0	1.47607627477117	1.348803540	0.6000000000	1.130740028
-45	0	1.46108914751722	1.433146044	0.6000000000	1.033146044
-
--45	5	1.95644726604323	-0.9807774425	0.7208023731	1.380777443
--40	5	1.91593948997600	-0.8287855841	0.7281192418	1.464409634
--35	5	1.87519200793497	-0.6728144422	0.7340446891	1.532137807
--30	5	1.83474240824497	-0.5147493111	0.7386163633	1.584392283
--25	5	1.79505192016407	-0.3562481181	0.7418873055	1.621779323
--20	5	1.75650669556266	-0.1987406689	0.7439211672	1.645026468
--15	5	1.71941961511969	-0.04343794768	0.7447878721	1.654932951
--10	5	1.68403553605120	0.1086497124	0.7445601075	1.652329589
--5	5	1.65053927834336	0.2566892964	0.7433107036	1.638048837
-0	5	1.61906642097786	0.4000000000	0.7411109365	1.612905384
-5	5	1.58970710385848	0.5380288531	0.7380288531	1.577677010
-10	5	1.56251415710921	0.6703262130	0.7341285321	1.533096137
-15	5	1.53751094826772	0.7965237418	0.7294698144	1.479846751
-20	5	1.51469636814695	0.9163147508	0.7241081914	1.418563119
-25	5	1.49405158156239	1.029437892	0.7180951653	1.349833916
-30	5	1.47554028370875	1.135661558	0.7114783346	1.274203195
-35	5	1.45911862486442	1.234775067	0.7043024403	1.192182348
-40	5	1.44473137486468	1.326576802	0.6966094646	1.104251233
-45	5	1.43232250126659	1.410872429	0.6884398778	1.010872429
-
--45	10	1.91574131651463	-0.9442255721	0.8370232365	1.344225572
--40	10	1.87318991715201	-0.7932272165	0.8507427540	1.422032822
--35	10	1.83095400595327	-0.6394057342	0.8617442184	1.484425227
--30	10	1.78953274978949	-0.4845130867	0.8701367442	1.532021606
--25	10	1.74933783813605	-0.3300389720	0.8760528709	1.565573628
--20	10	1.71070105725816	-0.1772242491	0.8796388261	1.585910590
--15	10	1.67388162781400	-0.02708222298	0.8810462618	1.593892555
--10	10	1.63907273475134	0.1195745375	0.8804254625	1.590371828
--5	10	1.60641170374353	0.2621032374	0.8779208051	1.576167209
-0	10	1.57599233385680	0.4000000000	0.8736681968	1.552049469
-5	10	1.54787049883647	0.5328714988	0.8677927546	1.518728181
-10	10	1.52207216153705	0.6604080837	0.8604080837	1.476847631
-15	10	1.49860185809569	0.7823604981	0.8516166276	1.426988806
-20	10	1.47744560472265	0.8985192627	0.8415098493	1.369670417
-25	10	1.45857756051648	1.008698011	0.8301696757	1.305357097
-30	10	1.44196074864310	1.112718531	0.8176694346	1.234464707
-35	10	1.42755382210390	1.210401367	0.8040761036	1.157373096
-40	10	1.41530787204851	1.301555073	0.7894512619	1.074431497
-45	10	1.40517348801627	1.385973482	0.7738537271	0.9859734816
-
--45	15	1.87472180274653	-0.9024565808	0.9489921890	1.302456581
--40	15	1.83046836158690	-0.7525727363	0.9680503750	1.373582699
--35	15	1.78713472038399	-0.6012243756	0.9831396382	1.429896596
--30	15	1.74515841439468	-0.4499941939	0.9944836783	1.472233130
--25	15	1.70488097531089	-0.3001640269	1.002327481	1.501506601
--20	15	1.66655725803711	-0.1527439213	1.006921428	1.518651442
--15	15	1.63037422005398	-0.008511141177	1.008511141	1.524584334
--10	15	1.59645830080726	0.1319531858	1.007328062	1.520169024
--5	15	1.56488782765227	0.2682248495	1.003584233	1.506196863
-0	15	1.53570670174863	0.4000000000	0.9974701421	1.483378765
-5	15	1.50893250772401	0.5270632980	0.9891533681	1.452340142
-10	15	1.48456349391901	0.6492595734	0.9787786822	1.413621287
-15	15	1.46258542070736	0.7664695086	0.9664695086	1.367682826
-20	15	1.44297606226052	0.8785891652	0.9523298563	1.314912925
-25	15	1.42570953341431	0.9855133247	0.9364470211	1.255637377
-30	15	1.41075726784216	1.087121282	0.9188940967	1.190128971
-35	15	1.39809043741554	1.183266202	0.8997333432	1.118620065
-40	15	1.38768004398877	1.273766638	0.8790193872	1.041314529
-45	15	1.37949609789586	1.358400211	0.8568025625	0.9584002108
-
--45	20	1.83324612498524	-0.8553905916	1.056924808	1.255390592
--40	20	1.78770106845255	-0.7068928218	1.080128968	1.319143497
--35	20	1.74372052998915	-0.5584641123	1.098212870	1.368828612
--30	20	1.70165207309607	-0.4114684623	1.111561841	1.405504605
--25	20	1.66174190160692	-0.2669335410	1.120566096	1.430243594
--20	20	1.62415038845381	-0.1256003653	1.125600365	1.444075135
--15	20	1.58897370725648	0.01202206151	1.127011930	1.447953379
--10	20	1.55625976566893	0.1456068364	1.125112714	1.442735324
--5	20	1.52602013066041	0.2749639846	1.120174683	1.429168196
-0	20	1.49824467265350	0.4000000000	1.112429858	1.407889463
-5	20	1.47290979618553	0.5206843660	1.102070956	1.379428616
-10	20	1.44998629732761	0.6370212284	1.089253951	1.344214183
-15	20	1.42944371669358	0.7490256786	1.074100918	1.302581566
-20	20	1.41125612885389	0.8567044666	1.056704467	1.254785209
-25	20	1.39540340952993	0.9600396405	1.037131485	1.201008885
-30	20	1.38187275652957	1.058974992	1.015427679	1.141378167
-35	20	1.37065864256344	1.153404629	0.9916222611	1.075973319
-40	20	1.36176255571846	1.243164008	0.9657332099	1.004843736
-45	20	1.35518901789064	1.328021350	0.9377721480	0.9280213495
-
--45	25	1.79118362611084	-0.8028567080	1.160901295	1.202856708
--40	25	1.74483166291744	-0.6561931915	1.186951722	1.258722030
--35	25	1.70071488115662	-0.5112724776	1.206867695	1.301431972
--30	25	1.65905851871804	-0.3691774061	1.221240405	1.332254347
--25	25	1.61998795711632	-0.2306315374	1.230631537	1.352393696
--20	25	1.58355135330546	-0.09607170952	1.235552074	1.362945820
--15	25	1.54974262465356	0.03428294659	1.236451490	1.364874625
--10	25	1.51852378242794	0.1603705582	1.233714950	1.359006096
--5	25	1.48983606130535	0.2822380445	1.227661911	1.346025311
-0	25	1.46361414608680	0.4000000000	1.218550066	1.326484898
-5	25	1.43979420152165	0.5138064685	1.206579477	1.300813887
-10	25	1.41832104440981	0.6238170281	1.191898040	1.269329442
-15	25	1.39915130875227	0.7301796607	1.174606338	1.232247269
-20	25	1.38225805829415	0.8330135026	1.154763806	1.189694821
-25	25	1.36763080251282	0.9323935352	1.132393535	1.141721621
-30	25	1.35527871839056	1.028338155	1.107488970	1.088313609
-35	25	1.34522676889198	1.120795793	1.080018537	1.029403074
-40	25	1.33751577987335	1.209634012	1.049932912	0.9648842430
-45	25	1.33219894790031	1.294628790	1.017172256	0.8946287905
-
--45	30	1.74842659689138	-0.7446138896	1.260843137	1.144613890
--40	30	1.70183260898175	-0.6004374168	1.288360226	1.192274886
--35	30	1.65814485795961	-0.4597686578	1.308915056	1.227876895
--30	30	1.61743653075193	-0.3233396064	1.323339606	1.252860949
--25	30	1.57968834334203	-0.1915199583	1.332379581	1.268518644
--20	30	1.54482280312354	-0.06441479367	1.336681137	1.275969159
--15	30	1.51272680118406	0.05805623844	1.336786407	1.276151491
--10	30	1.48327400348113	0.1760941731	1.333138450	1.269833045
--5	30	1.45633699189041	0.2899724906	1.326087354	1.257620187
-0	30	1.43179830653501	0.4000000000	1.315899153	1.239973707
-5	30	1.40955724606688	0.5064932595	1.302764330	1.217223526
-10	30	1.38953572755077	0.6097556792	1.286806394	1.189583570
-15	30	1.37167867078023	0.7100605899	1.268087720	1.157161875
-20	30	1.35596045862556	0.8076377532	1.246618169	1.119975522
-25	30	1.34238250970291	0.9026599389	1.222359178	1.077957718
-30	30	1.33097737761363	0.9952311786	1.195231179	1.030970644
-35	30	1.32180362873742	1.085371562	1.165117389	0.9788120305
-40	30	1.31494888401254	1.173004382	1.131872821	0.9212307498
-45	30	1.31052536851736	1.257940243	1.095332030	0.8579402431
-
--45	35	1.70490288875921	-0.6803752644	1.356486904	1.080375264
--40	35	1.65871579317084	-0.5395712336	1.384048563	1.119737393
--35	35	1.61607585242884	-0.4040669243	1.404066924	1.148326575
--30	35	1.57687320414192	-0.2741685746	1.417628298	1.167694224
--25	35	1.54092919593242	-0.1498512185	1.425656541	1.179159743
--20	35	1.50803394615201	-0.03087289969	1.428915180	1.183813563
--15	35	1.47796913561084	0.08314164932	1.428017445	1.182531464
--10	35	1.45052524327723	0.1926400145	1.423441905	1.175996916
--5	35	1.42551286705214	0.2980998062	1.415548906	1.164724545
-0	35	1.40276891636661	0.4000000000	1.404595196	1.149081026
-5	35	1.38216108512296	0.4988012706	1.390746957	1.129303690
-10	35	1.36359148164362	0.5949323607	1.374090884	1.105516353
-15	35	1.34699675011262	0.6887794869	1.354641474	1.077739717
-20	35	1.33235156426010	0.7806772277	1.332348526	1.045902087
-25	35	1.31966813664457	0.8708984260	1.307101035	1.009844934
-30	35	1.30899992301084	0.9596433562	1.278732682	0.9693307271
-35	35	1.30044031409683	1.047024731	1.247024731	0.9240470798
-40	35	1.29412417114945	1.133050140	1.211711905	0.8736151375
-45	35	1.29022680443860	1.217600307	1.172489898	0.8176003068
-
--45	40	1.66059545934913	-0.6098419790	1.447358032	1.009841979
--40	40	1.61554659151770	-0.4735522188	1.473552219	1.041058995
--35	40	1.57461371822782	-0.3442948508	1.491932035	1.062963208
--30	40	1.53748157076079	-0.2218832312	1.503822199	1.077133353
--25	40	1.50380767233783	-0.1058725847	1.510294935	1.084847259
--20	40	1.47325288338094	0.004323452932	1.512195596	1.087112378
--15	40	1.44550339479460	0.1093541316	1.510175690	1.084705148
--10	40	1.42027852431993	0.2098833731	1.504721392	1.078204970
--5	40	1.39733823753007	0.3065597236	1.496181268	1.068027246
-0	40	1.37648329085023	0.4000000000	1.484786404	1.054447376
-5	40	1.35755699484174	0.4907800970	1.470667614	1.037621257
-10	40	1.34044592300512	0.5794303392	1.453867802	1.017600021
-15	40	1.32507892358033	0.6664322449	1.434349215	0.9943386746
-20	40	1.31142968834959	0.7522151402	1.411999352	0.9677031444
-25	40	1.29951772729732	0.8371505770	1.386632777	0.9374724376
-30	40	1.28941152094997	0.9215434241	1.357992017	0.9033397090
-35	40	1.28123361972162	1.005618746	1.325748352	0.8649132053
-40	40	1.27516077697512	1.089500094	1.289500094	0.8217142137
-45	40	1.27143021650190	1.173182655	1.248777281	0.7731826549
-
--45	45	1.61556268128413	-0.5327455489	1.532745549	0.9327455489
--40	45	1.57245752512453	-0.4023835706	1.556243503	0.9562435030
--35	45	1.53391710926097	-0.2806183584	1.572023752	0.9720237519
--30	45	1.49941219689234	-0.1667245408	1.581595699	0.9815956986
--25	45	1.46844314572783	-0.05983652905	1.586122619	0.9861226188
--20	45	1.44055881090294	0.04094998009	1.586481822	0.9864818222
--15	45	1.41536713590656	0.1365198003	1.583321492	0.9833214921
--10	45	1.39253443896351	0.2277100270	1.577104992	0.9771049915
--5	45	1.37178468785884	0.3152980770	1.568147410	0.9681474098
-0	45	1.35289504261093	0.4000000000	1.556641259	0.9566412589
-5	45	1.33569275612624	0.4824733983	1.542675256	0.9426752562
-10	45	1.32005359202570	0.5633223505	1.526247077	0.9262470771
-15	45	1.30589979319721	0.6431021108	1.507269429	0.9072694290
-20	45	1.29320179644381	0.7223222317	1.485573053	0.8855730533
-25	45	1.28197989923077	0.8014463814	1.460904543	0.8609045432
-30	45	1.27230885225735	0.8808875448	1.432921660	0.8329216604
-35	45	1.26432670506498	0.9609976975	1.401187743	0.8011877435
-40	45	1.25824179554964	1.042047577	1.365162507	0.7651625070
-45	45	1.25434271661997	1.124195105	1.324195105	0.7241951051
-
-
-### +x patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = drho = dnu
-# dpy = dsigma = dphi
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-45	1.83830479449130	1.461345768	-0.4613457680	1.061345768
-45	-40	1.78149219639255	1.483361751	-0.3090484460	1.083361751
-45	-35	1.72933349625295	1.495856629	-0.1673270727	1.095856629
-45	-30	1.68145224280713	1.500768883	-0.03552921084	1.100768883
-45	-25	1.63742295720241	1.499599817	0.08724818430	1.099599817
-45	-20	1.59681556499748	1.493485053	0.2020039890	1.093485053
-45	-15	1.55922545913146	1.483266572	0.3097395969	1.083266572
-45	-10	1.52428315598914	1.469549620	0.4114095448	1.069549620
-45	-5	1.49166482623664	1.452753723	0.5078959837	1.052753723
-45	0	1.46108915262619	1.433146048	0.6000000000	1.033146048
-45	5	1.43232250331743	1.410872431	0.6884398779	1.010872431
-45	10	1.40517349130758	1.385973484	0.7738537275	0.9859734840
-45	15	1.37949609636211	1.358400210	0.8568025622	0.9584002097
-45	20	1.35518902772252	1.328021356	0.9377721504	0.9280213562
-45	25	1.33219896548052	1.294628802	1.017172262	0.8946288023
-45	30	1.31052539938455	1.257940263	1.095332042	0.8579402633
-45	35	1.29022681947275	1.217600316	1.172489905	0.8176003164
-45	40	1.27143024994585	1.173182675	1.248777298	0.7731826752
-45	45	1.25434271706115	1.124195105	1.324195105	0.7241951054
-
-50	-45	1.85237873681580	1.526469303	-0.5264693029	0.9452199766
-50	-40	1.79292992999465	1.555364903	-0.3694662641	0.9694662641
-50	-35	1.73766789138265	1.573035021	-0.2213679641	0.9842932533
-50	-30	1.68643326472611	1.581486368	-0.08213147253	0.9913847755
-50	-25	1.63897221674841	1.582354998	0.04865881000	0.9921136423
-50	-20	1.59498673694366	1.576939713	0.1716289771	0.9875696788
-50	-15	1.55416885312157	1.566247663	0.2875048806	0.9785979836
-50	-10	1.51621971861664	1.551038763	0.3970408102	0.9658362016
-50	-5	1.48086759773331	1.531871225	0.5009740992	0.9497527274
-50	0	1.44786941510493	1.509132320	0.6000000000	0.9306725205
-50	5	1.41702222990290	1.483072308	0.6947565487	0.9088055743
-50	10	1.38816013235034	1.453822281	0.7858173009	0.8842618869
-50	15	1.36115970594454	1.421413679	0.8736869704	0.8570678411
-50	20	1.33594078591003	1.385789868	0.9587981692	0.8271759146
-50	25	1.31247036631672	1.346816475	1.041507773	0.7944733549
-50	30	1.29076616861048	1.304288752	1.122091354	0.7587883583
-50	35	1.27090125698658	1.257938211	1.200734803	0.7198956366
-50	40	1.25300895598992	1.207439570	1.277522245	0.6775222451
-50	45	1.23728915508892	1.152420779	1.352420779	0.6313559981
-
-55	-45	1.86454883342915	1.581540868	-0.5815408679	0.8273238224
-55	-40	1.80307919756421	1.617191763	-0.4213451593	0.8522868478
-55	-35	1.74528995421142	1.640141564	-0.2683564719	0.8683564719
-55	-30	1.69121265976310	1.652364013	-0.1230527003	0.8769147228
-55	-25	1.64075906024446	1.655552194	0.01452639680	0.8791471107
-55	-20	1.59376933599282	1.651116237	0.1446309302	0.8760410201
-55	-15	1.55004413147773	1.640199075	0.2676896593	0.8683967414
-55	-10	1.50937025586495	1.623704844	0.3842278197	0.8568473560
-55	-5	1.47154096291099	1.602332100	0.4948095715	0.8418819996
-55	0	1.43636258910708	1.576599351	0.6000000000	0.8238637352
-55	5	1.40367029541593	1.546877930	0.7003388173	0.8030525720
-55	10	1.37332635738080	1.513408793	0.7963240108	0.7796172302
-55	15	1.34523050476490	1.476326534	0.8884008257	0.7536519529
-55	20	1.31932004085612	1.435672282	0.9769538829	0.7251855387
-55	25	1.29557393363627	1.391407413	1.062300869	0.6941909438
-55	30	1.27401507723612	1.343424014	1.144686108	0.6605926060
-55	35	1.25471314836662	1.291554967	1.224273508	0.6242735083
-55	40	1.23778736835187	1.235584255	1.301138441	0.5850823945
-55	45	1.22340938233671	1.175258957	1.375258957	0.5428421656
-
-60	-45	1.87486059659158	1.627384372	-0.6273843716	0.7086306974
-60	-40	1.81187382574288	1.669367884	-0.4651261236	0.7328698897
-60	-35	1.75206778687140	1.697427992	-0.3084688604	0.7490704005
-60	-30	1.69563144618911	1.713430470	-0.1583094357	0.7583094357
-60	-25	1.64262516160837	1.719058061	-0.01508687534	0.7615585265
-60	-20	1.59302250004064	1.715780409	0.1210950964	0.7596661732
-60	-15	1.54673595024327	1.704841951	0.2503686531	0.7533508514
-60	-10	1.50364498589378	1.687272673	0.3730190962	0.7432072243
-60	-5	1.46361658519142	1.663906482	0.4894225111	0.7297167477
-60	0	1.42651327986230	1.635396739	0.6000000000	0.7132566399
-60	5	1.39221330487559	1.602246161	0.7051829098	0.6941171446
-60	10	1.36060930178760	1.564819615	0.8053891257	0.6725089180
-60	15	1.33162220978225	1.523369843	0.9010060422	0.6485778812
-60	20	1.30520051426651	1.478049598	0.9923779648	0.6224122258
-60	25	1.28132715009367	1.428929147	1.079797541	0.5940525199
-60	30	1.26001954497772	1.376006943	1.163497871	0.5634978711
-60	35	1.24133133248857	1.319221294	1.243645679	0.5307126615
-60	40	1.22535416258881	1.258462217	1.320335329	0.4956333920
-60	45	1.21221832465335	1.193583176	1.393583176	0.4581754602
-
-65	-45	1.88339117300100	1.664778035	-0.6647780346	0.5897756834
-65	-40	1.81928919169691	1.712435712	-0.5012643216	0.6119988232
-65	-35	1.75790821517852	1.745197823	-0.3419176561	0.6272760467
-65	-30	1.69955864206695	1.764776687	-0.1879541879	0.6364058210
-65	-25	1.64442974357895	1.772798118	-0.04014627560	0.6401462756
-65	-20	1.59261525310533	1.770747023	0.1010888851	0.6391898340
-65	-15	1.54413465282378	1.759935625	0.2356063476	0.6341483964
-65	-10	1.49896057405972	1.741497961	0.3634577148	0.6255507728
-65	-5	1.45703323675321	1.716388874	0.4848308967	0.6138422131
-65	0	1.41827400996473	1.685392779	0.6000000000	0.5993884968
-65	5	1.38260620481848	1.649146128	0.7092861252	0.5824864054
-65	10	1.34995309008642	1.608143396	0.8130282773	0.5633665177
-65	15	1.32025408664648	1.562761656	0.9115610467	0.5422046648
-65	20	1.29346477896410	1.513271389	1.005197648	0.5191269742
-65	25	1.26956402280055	1.459853793	1.094217940	0.4942179403
-65	30	1.24855644205230	1.402613669	1.178859271	0.4675264318
-65	35	1.23047153776746	1.341589339	1.259307953	0.4390703195
-65	40	1.21536652141709	1.276765735	1.335693805	0.4088425767
-65	45	1.20332605223748	1.208085108	1.408085108	0.3768162743
-
-70	-45	1.89022481351934	1.694409089	-0.6944090892	0.4711263794
-70	-40	1.82532333858984	1.746904947	-0.5301874439	0.4902333089
-70	-35	1.76274485664893	1.783762795	-0.3689211403	0.5036484687
-70	-30	1.70289235059219	1.806529031	-0.2120599146	0.5119347009
-70	-25	1.64605757583686	1.816744262	-0.06063869892	0.5156527409
-70	-20	1.59243631101563	1.815877309	0.08466280419	0.5153371958
-70	-15	1.54214394730914	1.805279728	0.2234564318	0.5114799918
-70	-10	1.49523846061036	1.786165338	0.3555816511	0.5045229229
-70	-5	1.45173073980999	1.759593731	0.4810509616	0.4948516487
-70	0	1.41159872237301	1.726468903	0.6000000000	0.4827951973
-70	5	1.37480682343856	1.687551945	0.7126461989	0.4686305832
-70	10	1.34130746366503	1.643463142	0.8192561014	0.4525835711
-70	15	1.31105543300312	1.594700161	0.9201189433	0.4348352975
-70	20	1.28400953674825	1.541646893	1.015525487	0.4155254873
-70	25	1.26014064433333	1.484589660	1.105752465	0.3947583527
-70	30	1.23943587335188	1.423730324	1.191050978	0.3726073659
-70	35	1.22189757066792	1.359195196	1.271635707	0.3491185001
-70	40	1.20754754562587	1.291048576	1.347678532	0.3243151591
-70	45	1.19642617669412	1.219301972	1.419301972	0.2982015308
-
-75	-45	1.89544447378427	1.716853586	-0.7168535858	0.3528498549
-75	-40	1.82998857928058	1.773222671	-0.5522706366	0.3679539057
-75	-35	1.76653704723247	1.813416282	-0.3896847350	0.3787237512
-75	-30	1.70555715835399	1.838825114	-0.2307060666	0.3855320272
-75	-25	1.64741775147893	1.850898136	-0.07656491189	0.3887669838
-75	-20	1.59239517636929	1.851071195	0.07185327732	0.3888133548
-75	-15	1.54068429572343	1.840714109	0.2139618180	0.3860381820
-75	-10	1.49241525519275	1.821097839	0.3494221087	0.3807820184
-75	-5	1.44766035506236	1.793365995	0.4780962713	0.3733512932
-75	0	1.40644802144701	1.758524467	0.6000000000	0.3640155339
-75	5	1.36877927663799	1.717443344	0.7152613574	0.3530078801
-75	10	1.33462972100328	1.670852336	0.8240855553	0.3405238570
-75	15	1.30396623818357	1.619355946	0.9267254410	0.3267254410
-75	20	1.27674849341906	1.563437939	1.023456779	0.3117422561
-75	25	1.25293808904835	1.503475749	1.114559192	0.2956754359
-75	30	1.23250263904239	1.439751580	1.200300854	0.2786005961
-75	35	1.21541987026538	1.372464312	1.280926842	0.2605710270
-75	40	1.20167960219634	1.301739875	1.356649597	0.2416204713
-75	45	1.19128362603506	1.227640238	1.427640238	0.2217655333
-
-80	-45	1.89911954190295	1.732562508	-0.7325625076	0.2349667236
-80	-40	1.83330337328339	1.791752937	-0.5678193765	0.2454035933
-80	-35	1.76925973463820	1.834407296	-0.4043828012	0.2529247075
-80	-30	1.70749813112726	1.861791649	-0.2439658020	0.2577533079
-80	-25	1.64844015103941	1.875275028	-0.08793204322	0.2601307913
-80	-20	1.59241979842750	1.876257592	0.06268617858	0.2603040439
-80	-15	1.53969104322521	1.866114479	0.2071558093	0.2585155395
-80	-10	1.49043892599632	1.846154297	0.3450039792	0.2549960208
-80	-5	1.44478338743949	1.817581928	0.4759776517	0.2499579412
-80	0	1.40279205248777	1.781480489	0.6000000000	0.2435922836
-80	5	1.36449467897596	1.738804844	0.7171302465	0.2360674158
-80	10	1.32988504100776	1.690370865	0.8275271987	0.2275271987
-80	15	1.29893767914883	1.636865894	0.9314172175	0.2180928287
-80	20	1.27161179891108	1.578851565	1.029066880	0.2078633372
-80	25	1.24786043039426	1.516775353	1.120760899	0.1969176260
-80	30	1.22763557959266	1.450980616	1.206783942	0.1853162389
-80	35	1.21089393715756	1.381718548	1.287406728	0.1731034675
-80	40	1.19760018027371	1.309158622	1.362874664	0.1603091948
-80	45	1.18772707540620	1.233397022	1.433397022	0.1469503806
-
-85	-45	1.90130310456761	1.741859034	-0.7418590338	0.1173974535
-85	-40	1.83528476464111	1.802762825	-0.5770577690	0.1227258448
-85	-35	1.77089839909860	1.846924037	-0.4131471179	0.1265894502
-85	-30	1.70867739598137	1.875528809	-0.2518969550	0.1290920435
-85	-25	1.64907392419642	1.889892277	-0.09474817850	0.1303486841
-85	-20	1.59245645599247	1.891388007	0.05717915785	0.1304795435
-85	-15	1.53911529663329	1.881390928	0.2030624971	0.1296049125
-85	-10	1.48926979803990	1.861230776	0.3423455891	0.1278411277
-85	-5	1.44306999992944	1.832149581	0.4747031472	0.1252968528
-85	0	1.40060836670595	1.795278629	0.6000000000	0.1220710625
-85	5	1.36193291232604	1.751626497	0.7182519958	0.1182519958
-85	10	1.32704878297756	1.702063955	0.8295890059	0.1139158353
-85	15	1.29593551858276	1.647331584	0.9342214906	0.1091273732
-85	20	1.26855073522068	1.588039613	1.032411056	0.1039399980
-85	25	1.24484171342729	1.524679754	1.124446782	0.09839672853
-85	30	1.22475003108330	1.457633207	1.210624817	0.09253091581
-85	35	1.20821877721385	1.387182998	1.291232977	0.08636732114
-85	40	1.19519672823214	1.313524468	1.366538044	0.07992303483
-85	45	1.18563868188247	1.236773459	1.436773459	0.07320819164
-
-90	-45	1.90202646292051	1.744935810	-0.7449358099	0.000000000
-90	-40	1.83594305597795	1.806413976	-0.5801214485	0.000000000
-90	-35	1.77144460153905	1.851082467	-0.4160588817	0.000000000
-90	-30	1.70907215107283	1.880099900	-0.2545360755	0.000000000
-90	-25	1.64928786029033	1.894762431	-0.09701916863	0.000000000
-90	-20	1.59247164971764	1.896433858	0.05534261812	0.000000000
-90	-15	1.53892607802570	1.886488444	0.2016966220	0.000000000
-90	-10	1.48888217287958	1.866262707	0.3414583239	0.000000000
-90	-5	1.44250026482729	1.837011116	0.4742778180	0.000000000
-90	0	1.39988133281479	1.799881333	0.6000000000	0.000000000
-90	5	1.36107965980131	1.755900341	0.7186259087	0.000000000
-90	10	1.32610429360772	1.705957790	0.8302755940	0.000000000
-90	15	1.29493643013571	1.650812541	0.9351542103	0.000000000
-90	20	1.26753301020203	1.591091416	1.033521822	0.000000000
-90	25	1.24383927489234	1.527301221	1.125669192	0.000000000
-90	30	1.22379326535946	1.459836057	1.211896633	0.000000000
-90	35	1.20733323531290	1.388989488	1.292497895	0.000000000
-90	40	1.19440250340951	1.314965401	1.367747130	0.000000000
-90	45	1.18494977921891	1.237886024	1.437886024	0.000000000
-
-
-### +y patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = 90 - dsigma = 90 - dphi
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
-45	45	1.25434275412537	1.124195127	1.324195127	0.7241951268
-40	45	1.25824188432611	1.042047623	1.365162561	0.7651625610
-35	45	1.26432675911388	0.9609977215	1.401187778	0.8011877777
-30	45	1.27230890987745	0.8808875666	1.432921698	0.8329216981
-25	45	1.28197992289691	0.8014463888	1.460904559	0.8609045591
-20	45	1.29320180376051	0.7223222335	1.485573058	0.8855730583
-15	45	1.30589980157489	0.6431021124	1.507269435	0.9072694348
-10	45	1.32005359650078	0.5633223510	1.526247080	0.9262470802
-5	45	1.33569275918779	0.4824733985	1.542675258	0.9426752584
-0	45	1.35289504676809	0.4000000000	1.556641262	0.9566412618
--5	45	1.37178469619598	0.3152980765	1.568147416	0.9681474157
--10	45	1.39253445782877	0.2277100247	1.577105005	0.9771050048
--15	45	1.41536716171726	0.1365197955	1.583321510	0.9833215101
--20	45	1.44055885537505	0.04094996901	1.586481853	0.9864818526
--25	45	1.46844321770875	-0.05983655159	1.586122667	0.9861226672
--30	45	1.49941228845205	-0.1667245754	1.581595759	0.9815957585
--35	45	1.53391728560421	-0.2806184366	1.572023864	0.9720238636
--40	45	1.57245766301364	-0.4023836410	1.556243587	0.9562435868
--45	45	1.61556288421953	-0.5327456661	1.532745666	0.9327456661
-
-45	50	1.23728918192525	1.152420795	1.352420795	0.6313560118
-40	50	1.23926376101338	1.070089995	1.398582159	0.6700899954
-35	50	1.24378491181909	0.9879173379	1.439632974	0.7045357190
-30	50	1.25058404977078	0.9058384208	1.476137845	0.7351669428
-25	50	1.25945877395698	0.8236749666	1.508573898	0.7623840226
-20	50	1.27026742819204	0.7411600517	1.537329538	0.7865128700
-15	50	1.28292688358999	0.6579567779	1.562707801	0.8078077610
-10	50	1.29740674654154	0.5736691713	1.584926814	0.8264517264
-5	50	1.31372669265758	0.4878491563	1.604120451	0.8425571005
-0	50	1.33195484748396	0.4000000000	1.620336609	0.8561640726
--5	50	1.35220543987298	0.3095777625	1.633530904	0.8672354007
--10	50	1.37464027748729	0.2159924492	1.643558678	0.8756497016
--15	50	1.39946764629017	0.1186104918	1.650159941	0.8811888194
--20	50	1.42694310783366	0.01676102715	1.652940424	0.8835219216
--25	50	1.45736969649714	-0.09025110647	1.651346891	0.8821847882
--30	50	1.49109206234264	-0.2031195218	1.644633655	0.8765517144
--35	50	1.52849223662311	-0.3224939603	1.631828309	0.8658067538
--40	50	1.56996854347402	-0.4489074298	1.611688479	0.8489074298
--45	50	1.61591034553271	-0.5826680496	1.582668050	0.8245563980
-
-45	55	1.22340942255646	1.175258982	1.375258982	0.5428421834
-40	55	1.22358793360621	1.093095242	1.425998745	0.5783705476
-35	55	1.22659102270958	1.010281547	1.471572375	0.6102815468
-30	55	1.23218676501281	0.9268030384	1.512449628	0.6389041078
-25	55	1.24019558302563	0.8425401598	1.549030435	0.6645182647
-20	55	1.25048702027487	0.7572870291	1.581638045	0.6873503588
-15	55	1.26298215413358	0.6707677939	1.610519164	0.7075731361
-10	55	1.27765043496561	0.5826466495	1.635840623	0.7253034123
-5	55	1.29450690747295	0.4925354711	1.657685275	0.7405992027
-0	55	1.31361248578144	0.4000000000	1.676048353	0.7534571683
--5	55	1.33507079350193	0.3045648933	1.690828262	0.7638061716
--10	55	1.35902927209520	0.2057198305	1.701817593	0.7715009846
--15	55	1.38567468639812	0.1029284407	1.708686153	0.7763104017
--20	55	1.41523306367653	-0.004357989048	1.710964444	0.7779056786
--25	55	1.44796528370464	-0.1166788180	1.708021301	0.7758448674
--30	55	1.48415710214254	-0.2345291907	1.699036797	0.7695538502
--35	55	1.52411034383676	-0.3583101465	1.682979124	0.7583101465
--40	55	1.56811753767890	-0.4882523066	1.658577878	0.7412242096
--45	55	1.61643242447172	-0.6243126570	1.624312657	0.7172314439
-
-45	60	1.21221834835638	1.193583191	1.393583191	0.4581754692
-40	60	1.21078741868050	1.111772140	1.448257005	0.4897414099
-35	60	1.21238682508968	1.028637594	1.497787526	0.5183378699
-30	60	1.21683059031455	0.9441831834	1.542552922	0.5441831834
-25	60	1.22397100602445	0.8583203272	1.582871114	0.5674609020
-20	60	1.23370037269988	0.7708831219	1.618993003	0.5883158844
-15	60	1.24595357696858	0.6816411083	1.651098926	0.6068522477
-10	60	1.26070734131916	0.5903085465	1.679293400	0.6231303350
-5	60	1.27797791148385	0.4965523278	1.703598157	0.6371626932
-0	60	1.29782167198969	0.4000000000	1.723946538	0.6489108360
--5	60	1.32033180933116	0.3002477988	1.740172877	0.6582791173
--10	60	1.34563880168124	0.1968707280	1.752003347	0.6651094428
--15	60	1.37390450350619	0.08943627257	1.759039610	0.6691718307
--20	60	1.40531930566259	-0.02247633454	1.760744189	0.6701559702
--25	60	1.44009483945257	-0.1392486708	1.756422506	0.6676608454
--30	60	1.47845270920595	-0.2611841519	1.745204544	0.6611841519
--35	60	1.52060895898754	-0.3884545897	1.726029851	0.6501136374
--40	60	1.56675395458689	-0.5210302299	1.697641085	0.6337233761
--45	60	1.61702138719995	-0.6585889867	1.658588987	0.6111766365
-
-45	65	1.20332606383145	1.208085116	1.408085116	0.3768162779
-40	65	1.20050741404436	1.126699191	1.466046371	0.4038440551
-35	65	1.20086634019640	1.043444976	1.518934659	0.4285062689
-30	65	1.20426342131845	0.9583240158	1.567045562	0.4509407516
-25	65	1.21058769549857	0.8712595400	1.610619345	0.4712595400
-20	65	1.21976021587721	0.7821085652	1.649834655	0.4895459392
-15	65	1.23173579357982	0.6906719979	1.684802665	0.5058517901
-10	65	1.24650437289891	0.5967036345	1.715561746	0.5201949853
-5	65	1.26408663962992	0.4999179161	1.742067007	0.5325545917
-0	65	1.28453794782565	0.4000000000	1.764186745	0.5428691947
--5	65	1.30794211197318	0.2966155909	1.781689203	0.5510307249
--10	65	1.33441196436714	0.1894241777	1.794234832	0.5568808480
--15	65	1.36408224709215	0.07809613540	1.801361578	0.5602041040
--20	65	1.39710500173982	-0.03766453494	1.802473427	0.5607225678
--25	65	1.43364014175706	-0.1580897578	1.796827348	0.5580897578
--30	65	1.47384424610672	-0.2833078408	1.783523897	0.5518862570
--35	65	1.51785172498837	-0.4132912326	1.761500253	0.5416164628
--40	65	1.56576073585374	-0.5477967783	1.729540216	0.5267132527
--45	65	1.61760176455721	-0.6862890354	1.686289035	0.5065448962
-
-45	70	1.19642618940599	1.219301981	1.419301981	0.2982015339
-40	70	1.19246116716173	1.138337482	1.479916347	0.3202633590
-35	70	1.19177508261466	1.055078395	1.535548905	0.3405119539
-30	70	1.19427120050913	0.9695132571	1.586425897	0.3590296648
-25	70	1.19987500112791	0.8815650869	1.632719662	0.3758792172
-20	70	1.20853770790247	0.7911016278	1.674542891	0.3911016278
-15	70	1.22023681775356	0.6979438633	1.711941636	0.4047136576
-10	70	1.23497689986240	0.6018748331	1.744889071	0.4167055434
-5	70	1.25278693535509	0.5026483750	1.773276295	0.4270376479
-0	70	1.27372343500545	0.4000000000	1.796908513	0.4356390718
--5	70	1.29786206383072	0.2936583484	1.815490640	0.4424024128
--10	70	1.32529892047295	0.1833607264	1.828622374	0.4471819731
--15	70	1.35614190114202	0.06887234402	1.835785236	0.4497890418
--20	70	1.39050544179396	-0.04998922103	1.836335224	0.4499892210
--25	70	1.42849980118718	-0.1733227464	1.829494597	0.4474994366
--30	70	1.47022103307832	-0.3011057194	1.814350728	0.4419875188
--35	70	1.51573129873404	-0.4331461543	1.789856020	0.4330721742
--40	70	1.56504944332941	-0.5690333720	1.754849002	0.4203306620
--45	70	1.61812386202691	-0.7080767851	1.708076785	0.4033069670
-
-45	75	1.19128362778707	1.227640239	1.427640239	0.2217655336
-40	75	1.18642341800181	1.147043387	1.490291641	0.2385529262
-35	75	1.18490895985075	1.063833409	1.548052360	0.2540298641
-30	75	1.18667919419438	0.9779821573	1.601094462	0.2682424527
-25	75	1.19169160995368	0.8894063624	1.649535331	0.2812221444
-20	75	1.19992491373398	0.7979768465	1.693432399	0.2929843283
-15	75	1.21137765204246	0.7035261849	1.732775144	0.3035261849
-10	75	1.22607020994535	0.6058583137	1.767480512	0.3128254604
-5	75	1.24404028964480	0.5047574104	1.797382680	0.3208377222
-0	75	1.26534659476784	0.4000000000	1.822230955	0.3274957974
--5	75	1.29005860086133	0.2913675068	1.841675079	0.3327058348
--10	75	1.31825769699103	0.1786633226	1.855262675	0.3363466199
--15	75	1.35002773391900	0.06173326135	1.862428655	0.3382667387
--20	75	1.38544966166965	-0.05950949181	1.862491953	0.3382836992
--25	75	1.42459031895533	-0.1850536834	1.854651673	0.3361829025
--30	75	1.46749409161277	-0.3147554326	1.837992724	0.3317191507
--35	75	1.51416429046774	-0.4482954189	1.811491412	0.3246181454
--40	75	1.56455574827973	-0.5851381962	1.774041985	0.3145836016
--45	75	1.61855468524302	-0.7244853493	1.724485349	0.3013049412
-
-45	80	1.18772707660520	1.233397022	1.433397022	0.1469503807
-40	80	1.18222654815088	1.153081618	1.497487724	0.1582513005
-35	80	1.18011301917453	1.069932852	1.556763267	0.1687031782
-30	80	1.18135204169580	0.9839073585	1.611357212	0.1783295636
-25	80	1.18592586166078	0.8949141773	1.661346878	0.1871440905
-20	80	1.19383520074711	0.8028235234	1.706748534	0.1951496275
-15	80	1.20509516399068	0.7074737861	1.747507792	0.2023365842
-10	80	1.21973992401086	0.6086827052	1.783498432	0.2086827052
-5	80	1.23781509903015	0.5062558835	1.814510306	0.2141509353
-0	80	1.25938165798553	0.4000000000	1.840248821	0.2186893299
--5	80	1.28450463034569	0.2897362179	1.860320797	0.2222285608
--10	80	1.31325390343011	0.1753181872	1.874233880	0.2246818128
--15	80	1.34569431461713	0.05665306925	1.881388190	0.2259433107
--20	80	1.38188047912249	-0.06627370604	1.881076479	0.2258883475
--25	80	1.42184559158831	-0.1933689145	1.872483743	0.2243732165
--30	80	1.46559476889632	-0.3244001279	1.854697827	0.2212370795
--35	80	1.51308779574323	-0.4589577488	1.826718797	0.2163036216
--40	80	1.56423302372527	-0.5964208112	1.787488082	0.2093861880
--45	80	1.61887367919000	-0.7359213161	1.735921316	0.2002935760
-
-45	85	1.18563868210876	1.236773460	1.436773460	0.07320819165
-40	85	1.17975408048167	1.156633920	1.501721193	0.07889038201
-35	85	1.17727868880346	1.073531870	1.561903198	0.08415562521
-30	85	1.17819439122300	0.9874135262	1.617430072	0.08901359727
-25	85	1.18249897237471	0.8981820373	1.668354827	0.09346893595
-20	85	1.19020713339501	0.8057060625	1.714668246	0.09752083509
-15	85	1.20134490817973	0.7098265926	1.756288585	0.1011621430
-10	85	1.21595544758500	0.6103690580	1.793062214	0.1043794186
-5	85	1.23408993878234	0.5071518259	1.824750974	0.1071518259
-0	85	1.25581108506905	0.4000000000	1.851032345	0.1094511479
--5	85	1.28118123434150	0.2887593973	1.871485907	0.1112406027
--10	85	1.31026294618798	0.1733150649	1.885594151	0.1124749141
--15	85	1.34310887835399	0.05361251012	1.892735711	0.1130997197
--20	85	1.37975684768414	-0.07031789862	1.892187806	0.1130517842
--25	85	1.42021880969478	-0.1983324438	1.883128067	0.1122591597
--30	85	1.46447539166270	-0.3301449237	1.864648105	0.1106423725
--35	85	1.51245967264548	-0.4652919665	1.835764997	0.1081154280
--40	85	1.56405192355359	-0.6031028989	1.795451483	0.1045884526
--45	85	1.61907015898429	-0.7426709997	1.742671000	0.09997075861
-
-45	90	1.18494977933038	1.237886024	1.437886024	0.000000000
-40	90	1.17893712882836	1.157806179	1.503118236	0.000000000
-35	90	1.17634061814583	1.074721260	1.563601822	0.000000000
-30	90	1.17714768656753	0.9885738433	1.619439801	0.000000000
-25	90	1.18136140050738	0.8992649016	1.670677037	0.000000000
-20	90	1.18900126174221	0.8066623820	1.717295712	0.000000000
-15	90	1.20009718123264	0.7106080065	1.759204861	0.000000000
-10	90	1.21469537964475	0.6109296391	1.796241427	0.000000000
-5	90	1.23284901293042	0.5074498714	1.828157650	0.000000000
-0	90	1.25462142900773	0.4000000000	1.854621429	0.000000000
--5	90	1.28007407735639	0.2884341930	1.875203009	0.000000000
--10	90	1.30926699907203	0.1726481715	1.889376291	0.000000000
--15	90	1.34224865572935	0.05260048463	1.896512642	0.000000000
--20	90	1.37905109532199	-0.07166325328	1.895884138	0.000000000
--25	90	1.41967901744855	-0.1999822786	1.886666149	0.000000000
--30	90	1.46410473465290	-0.3320523673	1.867951894	0.000000000
--35	90	1.51225232836916	-0.4673923014	1.838764586	0.000000000
--40	90	1.56399268584824	-0.6053151201	1.798087906	0.000000000
--45	90	1.61913549828314	-0.7449016905	1.744901690	0.000000000
-
-
-### -x patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = drho = dnu
-# dpy = 180 - dsigma = 180 - dphi
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--90	45	1.61913549119901	-0.7449016855	1.744901685	1.402100184e-16
--90	40	1.67741401095331	-0.8849736819	1.678220943	1.573638907e-16
--90	35	1.73848511753198	-1.024083638	1.597154098	1.743999469e-16
--90	30	1.80192961069252	-1.160516819	1.500964805	1.911081927e-16
--90	25	1.86724631361655	-1.292299874	1.389132391	2.072469624e-16
--90	20	1.93386553897421	-1.417239177	1.261420969	2.225476141e-16
--90	15	2.00114618298753	-1.532958780	1.117934744	2.367191783e-16
--90	10	2.06840074986710	-1.636977095	0.9591740209	2.494577479e-16
--90	5	2.13489656006857	-1.726772634	0.7860684954	2.604545299e-16
--90	-2.84217e-14	2.19987551214144	-1.799875512	0.6000000000	2.694070504e-16
--90	-5	2.26257746668096	-1.853967676	0.4028033804	2.760314300e-16
--90	-10	2.32224996565598	-1.886969771	0.1967455254	2.800730209e-16
--90	-15	2.37815529935303	-1.897121623	-0.01551188368	2.813162642e-16
--90	-20	2.42958935963946	-1.883067193	-0.2309685010	2.795950930e-16
--90	-25	2.47589785600814	-1.843925507	-0.4463596482	2.748016189e-16
--90	-30	2.51648724207022	-1.779341880	-0.6582436210	2.668924058e-16
--90	-35	2.55083511105004	-1.689521796	-0.8630989127	2.558926179e-16
--90	-40	2.57848932237750	-1.575237417	-1.057420988	2.418968180e-16
--90	-45	2.59908753924548	-1.437832424	-1.237832424	2.250695595e-16
-
--85	45	1.61907014823530	-0.7426709921	1.742670992	0.09997075795
--85	40	1.67718756434963	-0.8819244244	1.675662312	0.1121538546
--85	35	1.73804066919883	-1.020077415	1.594348911	0.1242406752
--85	30	1.80121003575067	-1.155435394	1.498031043	0.1360829638
--85	25	1.86620085545086	-1.286060401	1.386222877	0.1475111711
--85	20	1.93245084338336	-1.409803967	1.258714774	0.1583373303
--85	15	1.99933392595347	-1.524349103	1.115627788	0.1683587312
--85	10	2.06618085688484	-1.627280122	0.9574641829	0.1773640285
--85	5	2.13227881827031	-1.716142818	0.7851385070	0.1851385070
--85	-2.84217e-14	2.19689239167268	-1.788532553	0.6000000000	0.1914717881
--85	-5	2.25928099699198	-1.842183909	0.4038343264	0.1961656736
--85	-10	2.31871105966780	-1.875055847	0.1988462715	0.1990415955
--85	-15	2.37446165783637	-1.885407706	-0.01237314914	0.1999472658
--85	-20	2.42584005586127	-1.871879241	-0.2268964197	0.1987636785
--85	-25	2.47219664566093	-1.833560688	-0.4415264539	0.1954112395
--85	-30	2.51293588892827	-1.770046439	-0.6528768959	0.1898544628
--85	-35	2.54752641681873	-1.681473002	-0.8574630866	0.1821052911
--85	-40	2.57550339673058	-1.568533979	-1.051796136	0.1722244069
--85	-45	2.59648405265540	-1.432488241	-1.232488241	0.1603219472
-
--80	45	1.61887365474087	-0.7359212989	1.735921299	0.2002935730
--80	40	1.67650732033112	-0.8727211555	1.667939852	0.2244150786
--80	35	1.73670811505824	-1.008016439	1.585903724	0.2482712874
--80	30	1.79905774983385	-1.140175973	1.489221012	0.2715745790
--80	25	1.86307804964223	-1.267365672	1.377505382	0.2940015548
--80	20	1.92823210214236	-1.387573404	1.250623510	0.3151974210
--80	15	1.99393758562306	-1.498654134	1.108742842	0.3347839509
--80	10	2.05957674140599	-1.598381619	0.9523685973	0.3523685973
--80	5	2.12449575328179	-1.684497103	0.7823698656	0.3675530804
--80	-2.84217e-14	2.18802474612499	-1.754783734	0.6000000000	0.3799465099
--80	-5	2.24948097387421	-1.807129181	0.4069012177	0.3891764246
--80	-10	2.30818532979887	-1.839603431	0.2050974889	0.3949025111
--80	-15	2.36346495813593	-1.850523059	-0.003025836170	0.3968279360
--80	-20	2.41466122531906	-1.838518994	-0.2147542826	0.3947112954
--80	-25	2.46114040085166	-1.802602849	-0.4270905762	0.3883783100
--80	-30	2.50230371020900	-1.742225868	-0.6368146818	0.3777322194
--80	-35	2.53759713573466	-1.657328143	-0.8405566744	0.3627624598
--80	-40	2.56651920564421	-1.548374009	-1.034879912	0.3435509063
--80	-45	2.58862978956513	-1.416373813	-1.216373813	0.3202757103
-
--75	45	1.61855463654742	-0.7244853155	1.724485315	0.3013049322
--75	40	1.67538015987107	-0.8572045770	1.654919897	0.3368669511
--75	35	1.73449811349508	-0.9877817495	1.571735242	0.3718549990
--75	30	1.79549521694172	-1.114697761	1.474511160	0.4058620419
--75	25	1.85792205772159	-1.236291492	1.363015254	0.4384429838
--75	20	1.92128804880550	-1.350775050	1.237230005	0.4691187608
--75	15	1.98507905669550	-1.456273483	1.097386981	0.4973869807
--75	10	2.04875453446811	-1.550851569	0.9439877670	0.5227291025
--75	5	2.11175816257759	-1.632556879	0.7778256849	0.5446219744
--75	-2.84217e-14	2.17351410360246	-1.699453406	0.6000000000	0.5625468448
--75	-5	2.23343872333148	-1.749673823	0.4119279102	0.5760033648
--75	-10	2.29093647349802	-1.781460462	0.2153496632	0.5845205692
--75	-15	2.34540915246691	-1.793222886	0.01232769899	0.5876723010
--75	-20	2.39625418072767	-1.783588263	-0.1947611316	0.5850907116
--75	-25	2.44286882716253	-1.751460262	-0.4032423964	0.5764820397
--75	-30	2.48465723542243	-1.696081747	-0.6101733611	0.5616434115
--75	-35	2.52104081154475	-1.617099010	-0.8123879323	0.5404800508
--75	-40	2.55146151214977	-1.514615660	-1.006553294	0.5130197200
--75	-45	2.57539683020512	-1.389248167	-1.189248167	0.4794276015
-
--70	45	1.61812377511863	-0.7080767255	1.708076726	0.4033069454
--70	40	1.67381512527150	-0.8351071310	1.636377938	0.4495422318
--70	35	1.73142853198436	-0.9591793368	1.551707617	0.4947008216
--70	30	1.79056398926395	-1.078942713	1.453867973	0.5382911256
--70	25	1.85081372282493	-1.192975701	1.342816769	0.5797957392
--70	20	1.91175342289243	-1.299790612	1.218673187	0.6186731873
--70	15	1.97295660295268	-1.397858055	1.081734614	0.6543668176
--70	10	2.03398582475792	-1.485612712	0.9324843963	0.6863069005
--70	5	2.09440246093616	-1.561477000	0.7716070012	0.7139192430
--70	-2.84217e-14	2.15375380938002	-1.623866562	0.6000000000	0.7366271866
--70	-5	2.21157451990107	-1.671212498	0.4187923866	0.7538596982
--70	-10	2.26738491348165	-1.701986043	0.2293631475	0.7650603526
--70	-15	2.32068294744590	-1.714723925	0.03336143215	0.7696965623
--70	-20	2.37094317464343	-1.708068385	-0.1672741438	0.7672741438
--70	-25	2.41761272251519	-1.680813577	-0.3702993060	0.7573542050
--70	-30	2.46011743994079	-1.631970252	-0.5731585720	0.7395766886
--70	-35	2.49785722268987	-1.560829373	-0.7729875083	0.7136835264
--70	-40	2.53021685816672	-1.467045432	-0.9666371338	0.6795489634
--70	-45	2.55658010272121	-1.350723247	-1.150723247	0.6372111502
-
--65	45	1.61760160107869	-0.6862889256	1.686288926	0.5065448450
--65	40	1.67183009527015	-0.8060586799	1.612003393	0.5623943986
--65	35	1.72752787079311	-0.9219499807	1.525639342	0.6164353997
--65	30	1.78432367870673	-1.032844563	1.427253194	0.6681463926
--65	25	1.84186512757236	-1.137620559	1.317004242	0.7170042419
--65	20	1.89981323161018	-1.235149058	1.195145586	0.7624825279
--65	15	1.95784112208289	-1.324291262	1.062022451	0.8040502205
--65	10	2.01563355962411	-1.403895551	0.9180754561	0.8411703101
--65	5	2.07287919415645	-1.472788513	0.7638477641	0.8732956257
--65	-2.84217e-14	2.12926064452174	-1.529765503	0.6000000000	0.8998644324
--65	-5	2.18445023591756	-1.573589836	0.4273332629	0.9203000546
--65	-10	2.23809542285892	-1.602988270	0.2468191259	0.9340087696
--65	-15	2.28981221421658	-1.616661694	0.05963712780	0.9403847916
--65	-20	2.33917449071776	-1.613302624	-0.1327822278	0.9388184319
--65	-25	2.38570412190258	-1.591626667	-0.3287107669	0.9287107669
--65	-30	2.42886656686294	-1.550424296	-0.5260779921	0.9094977857
--65	-35	2.46806651520357	-1.488629722	-0.7224327682	0.8806825027
--65	-40	2.50264803799863	-1.405410967	-0.9149196766	0.8418769600
--65	-45	2.53190439276090	-1.300282505	-1.100282505	0.7928547532
-
--60	45	1.61702115054803	-0.6585888318	1.658588832	0.6111765470
--60	40	1.66945458446933	-0.7695913942	1.581403708	0.6752639063
--60	35	1.72284138650876	-0.8757854790	1.493314610	0.7365750898
--60	30	1.77685926360945	-0.9763492673	1.394635620	0.7946356200
--60	25	1.83122622431255	-1.070508165	1.285709219	0.8489982850
--60	20	1.88569853988738	-1.157520497	1.166891100	0.8992348781
--60	15	1.94006443820212	-1.236657805	1.038541137	0.9449248244
--60	10	1.99413027284111	-1.307177845	0.9010215149	0.9856395884
--60	5	2.04772083919749	-1.368309862	0.7547070666	1.020934175
--60	-2.84217e-14	2.10065263839899	-1.419218549	0.6000000000	1.050326319
--60	-5	2.15273379206242	-1.458993825	0.4373591147	1.073290585
--60	-10	2.20374914083546	-1.486632865	0.2673357233	1.089247992
--60	-15	2.25344411552074	-1.501028042	0.09062107135	1.097559052
--60	-20	2.30151056400843	-1.500966566	-0.09189524620	1.097523558
--60	-25	2.34756969679147	-1.485141421	-0.2790558815	1.088386907
--60	-30	2.39116031735095	-1.452184817	-0.4693594029	1.069359403
--60	-35	2.43172663546595	-1.400723825	-0.6608803962	1.039648385
--60	-40	2.46860802310651	-1.329464657	-0.8511931554	0.9985068850
--60	-45	2.50103838966103	-1.237313962	-1.037313962	0.9453036569
-
--55	45	1.61643209694206	-0.6243124495	1.624312449	0.7172312986
--55	40	1.66673631283403	-0.7251517479	1.544114417	0.7878397355
--55	35	1.71743835033570	-0.8203511958	1.454499107	0.8544991065
--55	30	1.76828372403422	-0.9094360953	1.356003282	0.9168770247
--55	25	1.81908036976169	-0.9920083724	1.249104164	0.9746947556
--55	20	1.86968716460576	-1.067712997	1.134203843	1.027703705
--55	15	1.92000637250394	-1.136207957	1.011625681	1.075664391
--55	10	1.96996733950669	-1.197128713	0.8816168839	1.118321565
--55	5	2.01951645997507	-1.250059038	0.7443614600	1.155383777
--55	-2.84217e-14	2.06860083521490	-1.294498603	0.6000000000	1.186500695
--55	-5	2.11715815610710	-1.329837820	0.4486588010	1.211245481
--55	-10	2.16510468201500	-1.355334104	0.2904872373	1.229098172
--55	-15	2.21231608059096	-1.370086607	0.1257067231	1.239427986
--55	-20	2.25861218203848	-1.373020919	-0.04532683938	1.241482613
--55	-25	2.30373865186559	-1.362881698	-0.2220452363	1.234383054
--55	-30	2.34734486226785	-1.338238072	-0.4035722186	1.217127401
--55	-35	2.38896140650099	-1.297511825	-0.5886105763	1.188610576
--55	-40	2.42797630469412	-1.239036578	-0.7753149883	1.147665768
--55	-45	2.46361764312410	-1.161163149	-0.9611631490	1.093138205
-
--50	45	1.61590982759268	-0.5826677346	1.582667735	0.8245561337
--50	40	1.66374681705432	-0.6721192435	1.499614862	0.8996148618
--50	35	1.71141478106059	-0.7553125215	1.408958537	0.9694223107
--50	30	1.75874518705393	-0.8321468667	1.311380325	1.033893981
--50	25	1.80564749612112	-0.9025945888	1.207409832	1.093006639
--50	20	1.85208941095771	-0.9666556145	1.097421964	1.146760222
--50	15	1.89808142899304	-1.024319517	0.9816452643	1.195145981
--50	10	1.94366153279862	-1.075531375	0.8601759923	1.238117833
--50	5	1.98888490146956	-1.120163986	0.7329971154	1.275569040
--50	-2.84217e-14	2.03381191654091	-1.157990317	0.6000000000	1.307309100
--50	-5	2.07849257194196	-1.188653798	0.4610108024	1.333038816
--50	-10	2.12296068305773	-1.211646392	0.3158232578	1.352331893
--50	-15	2.16721684159072	-1.226278619	0.1642399574	1.364609789
--50	-20	2.21121384494170	-1.231653309	0.006126762848	1.369119690
--50	-25	2.25483617413452	-1.226639422	-0.1585144195	1.364912539
--50	-30	2.29787391305603	-1.209851252	-0.3294480539	1.350825592
--50	-35	2.33999212327479	-1.179641727	-0.5060770449	1.325476790
--50	-40	2.38069419279869	-1.134120475	-0.6872799246	1.287279925
--50	-45	2.41928525731633	-1.071216724	-0.8712167242	1.234497411
-
--45	45	1.61556257997503	-0.5327454904	1.532745490	0.9327454904
--45	40	1.66059510487649	-0.6098417634	1.447357851	1.009841763
--45	35	1.70490260710653	-0.6803750859	1.356486779	1.080375086
--45	30	1.74842636350260	-0.7446137368	1.260843049	1.144613737
--45	25	1.79118345606355	-0.8028565938	1.160901241	1.202856594
--45	20	1.83324597557952	-0.8553904893	1.056924770	1.255390489
--45	15	1.87472172057293	-0.9024565237	0.9489921737	1.302456524
--45	10	1.91574128674931	-0.9442255512	0.8370232328	1.344225551
--45	5	1.95644724021513	-0.9807774243	0.7208023715	1.380777424
--45	-2.84217e-14	1.99698721033367	-1.012083198	0.6000000000	1.412083198
--45	-5	2.03750333832529	-1.037983378	0.4741927561	1.437983378
--45	-10	2.07812774078528	-1.058167878	0.3428856606	1.458167878
--45	-15	2.11897070155700	-1.072147671	0.2055392205	1.472147671
--45	-20	2.16011007096079	-1.079224106	0.06160645569	1.479224106
--45	-25	2.20157239453946	-1.078450386	-0.08941273708	1.478450386
--45	-30	2.24330790315049	-1.068589753	-0.2478906894	1.468589753
--45	-35	2.28515909981467	-1.048076241	-0.4139538999	1.448076241
--45	-40	2.32681254266055	-1.014982180	-0.5873110252	1.414982180
--45	-45	2.36774015913823	-0.9670154182	-0.7670154182	1.367015418
-
-
-### -y patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = 90 + dsigma = 90 + dphi
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--45	-90	2.59908754914798	-1.437832431	-1.237832431	2.250695604e-16
--40	-90	2.61235638195852	-1.279190314	-1.401181090	2.450740016e-16
--35	-90	2.61811966719981	-1.101691749	-1.544638078	2.626424157e-16
--30	-90	2.61630481017806	-0.9081524051	-1.665786430	2.774788099e-16
--25	-90	2.60693890287048	-0.7017399876	-1.762689028	2.893459556e-16
--20	-90	2.59014517314278	-0.4858818234	-1.833940306	2.980717205e-16
--15	-90	2.56615068552908	-0.2641686700	-1.878711221	3.035545763e-16
--10	-90	2.53527034796384	-0.04024507582	-1.896753895	3.057641665e-16
--5	-90	2.49790308151261	0.1822934016	-1.888397806	3.047408408e-16
--2.84217e-14	-90	2.45453230855291	0.4000000000	-1.854532309	3.005935135e-16
-5	-90	2.40571684088214	0.6096720381	-1.796562362	2.934942426e-16
-10	-90	2.35208173289189	0.8084347066	-1.716348326	2.836708563e-16
-15	-90	2.29430285656461	0.9938092745	-1.616126382	2.713972081e-16
-20	-90	2.23309585687801	1.163763765	-1.498423698	2.569827865e-16
-25	-90	2.16920926154261	1.316747447	-1.365971245	2.407620393e-16
-30	-90	2.10340885939387	1.451704430	-1.221605507	2.230823353e-16
-35	-90	2.03645139600272	1.568060535	-1.068163324	2.042910875e-16
-40	-90	1.96908400372913	1.665702800	-0.9084058591	1.847264407e-16
-45	-90	1.90202645827228	1.744935807	-0.7449358066	1.647071331e-16
-
--45	-85	2.59648406805181	-1.432488252	-1.232488252	0.1603219481
--40	-85	2.60925872811510	-1.273445079	-1.394334184	0.1744816324
--35	-85	2.61455834802917	-1.095812666	-1.536241877	0.1868969468
--30	-85	2.61233586479361	-0.9024348387	-1.655883314	0.1973642162
--25	-85	2.60263903896480	-0.6964813069	-1.751411751	0.2057218715
--20	-85	2.58560789485550	-0.4813565041	-1.821507093	0.2118544193
--15	-85	2.56148250015613	-0.2606057840	-1.865414350	0.2156958065
--10	-85	2.53058524580311	-0.03780949003	-1.882941001	0.2172291898
--5	-85	2.49331628252405	0.1835138398	-1.874448134	0.2164861602
--2.84217e-14	-85	2.45015235935097	0.4000000000	-1.840828790	0.2135448487
-5	-85	2.40163922200546	0.6085261533	-1.783464839	0.2085261533
-10	-85	2.34838344585632	0.8062872652	-1.704169581	0.2015887171
-15	-85	2.29103919560254	0.9908585141	-1.605113995	0.1929224763
-20	-85	2.23029936608562	1.160242439	-1.488748935	0.1827418527
-25	-85	2.16688919422385	1.312901659	-1.357723925	0.1712786497
-30	-85	2.10155168424512	1.447772672	-1.214795503	0.1587740331
-35	-85	2.03502389999079	1.564255725	-1.062729493	0.1454699811
-40	-85	1.96803798169097	1.662198892	-0.9042300638	0.1316030779
-45	-85	1.90130309782522	1.741859029	-0.7418590291	0.1173974531
-
--45	-80	2.58862982039425	-1.416373835	-1.216373835	0.3202757141
--40	-80	2.59993820166218	-1.256167906	-1.373744052	0.3480243295
--35	-80	2.60387044881259	-1.078179062	-1.511058481	0.3722365681
--30	-80	2.60045127611108	-0.8853261195	-1.626250143	0.3925479661
--25	-80	2.58978802420093	-0.6807781926	-1.717736314	0.4086794462
--20	-80	2.57207400411139	-0.4678684562	-1.784448987	0.4204426904
--15	-80	2.54758124909409	-0.2500021537	-1.825841063	0.4277412302
--10	-80	2.51665084186133	-0.03056843143	-1.841874917	0.4305684314
--5	-80	2.47968388637972	0.1871402584	-1.832997980	0.4290031879
--2.84217e-14	-80	2.43713717233869	0.4000000000	-1.800111582	0.4232044287
-5	-80	2.38951833654036	0.6051197972	-1.744530010	0.4134038978
-10	-80	2.33738148016234	0.7998976182	-1.667932092	0.3998976182
-15	-80	2.28132020790015	0.9820670288	-1.572303725	0.3830357570
-20	-80	2.22195915285194	1.149732806	-1.459873955	0.3632113550
-25	-80	2.15995669062671	1.301399677	-1.333057845	0.3408502534
-30	-80	2.09598991157481	1.435985794	-1.194380031	0.3163976131
-35	-80	2.03073839699621	1.552820403	-1.046398160	0.2903044166
-40	-80	1.96488951033590	1.651640114	-0.8916466023	0.2630175417
-45	-80	1.89911953086113	1.732562500	-0.7325624998	0.2349667222
-
--45	-75	2.57539687639479	-1.389248199	-1.189248199	0.4794276101
--40	-75	2.58431635079971	-1.227240673	-1.339269918	0.5196258083
--35	-75	2.58604650106859	-1.048806720	-1.469110430	0.5544164688
--30	-75	2.58071919776278	-0.8569611539	-1.577120582	0.5833577017
--25	-75	2.56854010188529	-0.6548533340	-1.662140275	0.6061386598
--20	-75	2.54977747558261	-0.4456799149	-1.723486470	0.6225763234
--15	-75	2.52474925366457	-0.2326082602	-1.760926168	0.6326082602
--10	-75	2.49381701743597	-0.01871416640	-1.774646039	0.6362844886
--5	-75	2.45737566922726	0.1930707601	-1.765212035	0.6337566548
--2.84217e-14	-75	2.41584769571894	0.4000000000	-1.733529682	0.6252673937
-5	-75	2.36968065792009	0.5995446702	-1.680806017	0.6111401303
-10	-75	2.31935213703756	0.7894213528	-1.608518238	0.5917706785
-15	-75	2.26535885967729	0.9676146749	-1.518366806	0.5676146749
-20	-75	2.20822258291646	1.132397044	-1.412244341	0.5391792460
-25	-75	2.14849750191599	1.282349375	-1.292204341	0.5070146250
-30	-75	2.08675715712303	1.416372756	-1.160409253	0.4717002378
-35	-75	2.02359127455619	1.533696798	-1.019086822	0.4338330066
-40	-75	1.95961436183703	1.633890809	-0.8704938043	0.3940176273
-45	-75	1.89544442958139	1.716853555	-0.7168535551	0.3528498466
-
--45	-70	2.55658021755717	-1.350723325	-1.150723325	0.6372111788
--40	-70	2.56227521196603	-1.186486740	-1.290701272	0.6881589848
--35	-70	2.56107998519262	-1.007738919	-1.410459532	0.7317474268
--30	-70	2.55326785668216	-0.8175793009	-1.508909211	0.7675801797
--25	-70	2.53916206585285	-0.6190826543	-1.585429805	0.7954313980
--20	-70	2.51910931105762	-0.4152230135	-1.639806821	0.8152230135
--15	-70	2.49347718825795	-0.2088295450	-1.672182795	0.8270069042
--10	-70	2.46264102667077	-0.002554287788	-1.682998814	0.8309436131
--5	-70	2.42697618971076	0.2011432312	-1.672943268	0.8272836938
--2.84217e-14	-70	2.38685578102358	0.4000000000	-1.642910764	0.8163527563
-5	-70	2.34265198868834	0.5919475794	-1.593970872	0.7985400923
-10	-70	2.29474002516416	0.7751084411	-1.527345682	0.7742905064
-15	-70	2.24350089015969	0.9477931110	-1.444391722	0.7440977341
-20	-70	2.18933362292744	1.108502464	-1.346594521	0.7085024639
-25	-70	2.13265904348214	1.255934274	-1.235556974	0.6680881017
-30	-70	2.07391823980986	1.388991388	-1.112983332	0.6234749445
-35	-70	2.01358647807168	1.506800283	-0.9806746182	0.5753185111
-40	-70	1.95217647656337	1.608731240	-0.8405097975	0.5243026884
-45	-70	1.89022471824392	1.694409024	-0.6944090239	0.4711263557
-
--45	-65	2.53190447203237	-1.300282558	-1.100282558	0.7928547780
--40	-65	2.53366936077018	-1.133697711	-1.227789758	0.8523123615
--35	-65	2.52899077634289	-0.9550770421	-1.335250577	0.9024221643
--30	-65	2.51830266939897	-0.7675426111	-1.422243122	0.9429874547
--25	-65	2.50203616390657	-0.5739966928	-1.488742648	0.9739966928
--20	-65	2.48061426060647	-0.3770904015	-1.535038331	0.9955847242
--15	-65	2.45443727526498	-0.1792120277	-1.561648716	1.007993350
--10	-65	2.42387512897003	0.01750230667	-1.569252214	1.011538920
--5	-65	2.38926681780702	0.2111438298	-1.558635903	1.006588453
--2.84217e-14	-65	2.35092125492066	0.4000000000	-1.530658240	0.9935422542
-5	-65	2.30912196461199	0.5825212352	-1.486227264	0.9728237499
-10	-65	2.26413492597424	0.7572900172	-1.426292379	0.9448756540
-15	-65	2.21621711605437	0.9229954836	-1.351845717	0.9101606053
-20	-65	2.16563065705640	1.078416965	-1.263935291	0.8691673005
-25	-65	2.11264933487297	1.222415557	-1.163675853	0.8224155569
-30	-65	2.05757160219673	1.353937170	-1.052267645	0.7704650563
-35	-65	2.00073696593579	1.472029505	-0.9310168005	0.7139248589
-40	-65	1.94253222030368	1.575866617	-0.8013432656	0.6534570965
-45	-65	1.88339100753084	1.664777924	-0.6647779235	0.5897756316
-
--45	-60	2.50103846676377	-1.237314013	-1.037314013	0.9453036861
--40	-60	2.49834822673420	-1.068676198	-1.150300136	1.010536254
--35	-60	2.48984918862904	-0.8910176603	-1.243764298	1.064497814
--30	-60	2.47611244253517	-0.7073511483	-1.317988451	1.107351148
--25	-60	2.45766728508142	-0.5202823178	-1.373551799	1.139430663
--20	-60	2.43497737851018	-0.3320189180	-1.411205448	1.161170007
--15	-60	2.40844627572680	-0.1444163337	-1.431789418	1.173054167
--10	-60	2.37841559318142	0.04096916096	-1.436165070	1.175580451
--5	-60	2.34516887476112	0.2228204791	-1.425171191	1.169233132
--2.84217e-14	-60	2.30893809820086	0.4000000000	-1.399599049	1.154469049
-5	-60	2.26991228041749	0.5714938206	-1.360183339	1.131712378
-10	-60	2.22824720382604	0.7363623521	-1.307605692	1.101356660
-15	-60	2.18407875477613	0.8936992617	-1.242510728	1.063774065
-20	-60	2.13753194544344	1.042598915	-1.165526009	1.019326917
-25	-60	2.08873975033340	1.182136081	-1.077296238	0.9683874348
-30	-60	2.03785587267786	1.311356852	-0.9785163714	0.9113568519
-35	-60	1.98507590509979	1.429286457	-0.8699734023	0.8486895395
-40	-60	1.93063933501966	1.534943483	-0.7525729736	0.7809083704
-45	-60	1.87486026568826	1.627384155	-0.6273841550	0.7086305723
-
--45	-55	2.46361755496783	-1.161163093	-0.9611630931	1.093138166
--40	-55	2.45618677593799	-0.9912946682	-1.058080419	1.161000408
--35	-55	2.44378928649891	-0.8158897939	-1.136470586	1.215889794
--30	-55	2.42709601721300	-0.6376686332	-1.197294794	1.258479363
--25	-55	2.40667688926782	-0.4587767846	-1.241652758	1.289539144
--20	-55	2.38299940976746	-0.2808665470	-1.270665463	1.309854059
--15	-55	2.35643400736309	-0.1051903826	-1.285396175	1.320168614
--10	-55	2.32726482523600	0.06730561729	-1.286803604	1.321154107
--5	-55	2.29570167203806	0.2358959426	-1.275717959	1.313391854
--2.84217e-14	-55	2.26189149346296	0.4000000000	-1.252833041	1.297367662
-5	-55	2.22592991429975	0.5591165502	-1.218710491	1.273474796
-10	-55	2.18786895700632	0.7127670320	-1.173789982	1.242021117
-15	-55	2.14773243407277	0.8604473398	-1.118412866	1.203245643
-20	-55	2.10553083473648	1.001588697	-1.052851360	1.157338982
-25	-55	2.06126793041436	1.135524180	-0.9773366942	1.104463044
-30	-55	2.01496367734000	1.261467610	-0.8921056694	1.044783638
-35	-55	1.96666539100490	1.378500229	-0.7974431520	0.9785002292
-40	-55	1.91646936308806	1.485574449	-0.6937372499	0.9058845749
-45	-55	1.86454829599532	1.581540527	-0.5815405273	0.8273235840
-
--45	-50	2.41928509768448	-1.071216627	-0.8712166272	1.234497329
--40	-50	2.40712561367276	-0.9015718221	-0.9511528950	1.301571822
--35	-50	2.39104909000053	-0.7302108607	-1.014108388	1.354397753
--30	-50	2.37175573025006	-0.5593319004	-1.061611593	1.394257675
--25	-50	2.34979421914429	-0.3904577807	-1.095142181	1.422393179
--20	-50	2.32557868198662	-0.2245885911	-1.116043051	1.439931091
--15	-50	2.29940823565819	-0.06233962912	-1.125474986	1.447845425
--10	-50	2.27148460972168	0.09594203906	-1.124398386	1.446942050
--5	-50	2.24192995408964	0.2500817133	-1.113573858	1.437859193
--2.84217e-14	-50	2.21080535889737	0.4000000000	-1.093575160	1.421078292
-5	-50	2.17811826832016	0.5456511870	-1.064800686	1.396933642
-10	-50	2.14383296919127	0.6869706792	-1.027491596	1.365627598
-15	-50	2.10788331216883	0.8238299114	-0.9817547631	1.327249838
-20	-50	2.07018301066534	0.9559961054	-0.9275867449	1.281797474
-25	-50	2.03063445120287	1.083094200	-0.8649002387	1.229197250
-30	-50	1.98913900381752	1.204570419	-0.7935568433	1.169333033
-35	-50	1.94561499856351	1.319661253	-0.7134123854	1.102083848
-40	-50	1.90002312692551	1.427373291	-0.6243758104	1.027373291
-45	-50	1.85237833140592	1.526469056	-0.5264690563	0.9452197697
-
--45	-45	2.36774004690958	-0.9670153535	-0.7670153535	1.367015353
--40	-45	2.35122026049193	-0.7997656394	-0.8298250110	1.429825011
--35	-45	2.33200254931878	-0.6347389290	-0.8777603390	1.477760339
--30	-45	2.31072860826884	-0.4733733207	-0.9127269654	1.512726965
--25	-45	2.28785375325853	-0.3164313661	-0.9363920226	1.536392023
--20	-45	2.26368576742310	-0.1642091206	-0.9501518187	1.550151819
--15	-45	2.23841736507970	-0.01669658666	-0.9551328327	1.555132833
--10	-45	2.21215092712518	0.1263037719	-0.9522084427	1.552208443
--5	-45	2.18491793196188	0.2650905262	-0.9420223415	1.542022341
--2.84217e-14	-45	2.15669648256038	0.4000000000	-0.9250147078	1.525014708
-5	-45	2.12742064107605	0.5313592584	-0.9014431939	1.501443194
-10	-45	2.09698632251148	0.6594475991	-0.8714004520	1.471400452
-15	-45	2.06526164945067	0.7844624748	-0.8348334897	1.434833490
-20	-45	2.03208956376153	0.9064852561	-0.7915568045	1.391556805
-25	-45	1.99729484851631	1.025444120	-0.7412692431	1.341269243
-30	-45	1.96069218017212	1.141071987	-0.6835743329	1.283574333
-35	-45	1.92209794529871	1.252859089	-0.6180090077	1.218009008
-40	-45	1.88134365626419	1.360000010	-0.5440834613	1.144083461
-45	-45	1.83830432295506	1.461345496	-0.4613454957	1.061345496
-
-
diff --git a/test/checkpoint2/h.t0.ah2.gp b/test/checkpoint2/h.t0.ah2.gp
deleted file mode 100644
index a143762..0000000
--- a/test/checkpoint2/h.t0.ah2.gp
+++ /dev/null
@@ -1,1228 +0,0 @@
-# N_patches = 5
-# origin = 0 0 0
-
-### +z patch
-# N_rho = 19
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = dsigma = dnu
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--45	-45	1.86320548475891	-1.075722188	-1.075722188	1.075722188
--40	-45	1.85957717588690	-0.9488931500	-1.130846821	1.130846821
--35	-45	1.85643341363867	-0.8237229084	-1.176398230	1.176398230
--30	-45	1.85376832154229	-0.7006585667	-1.213576236	1.213576236
--25	-45	1.85156544669998	-0.5798095968	-1.243405693	1.243405693
--20	-45	1.84980151757347	-0.4610511329	-1.266727577	1.266727577
--15	-45	1.84845489079424	-0.3441024250	-1.284207733	1.284207733
--10	-45	1.84750630114591	-0.2285809254	-1.296346847	1.296346847
--5	-45	1.84694170098857	-0.1140408659	-1.303493062	1.303493062
-0	-45	1.84675172279338	0.000000000	-1.305850666	1.305850666
-5	-45	1.84693424402847	0.1140404055	-1.303487800	1.303487800
-10	-45	1.84749188652216	0.2285791420	-1.296336732	1.296336732
-15	-45	1.84843478827853	0.3440986828	-1.284193767	1.284193767
-20	-45	1.84977769571949	0.4610451954	-1.266711264	1.266711264
-25	-45	1.85153994649084	0.5798016116	-1.243388569	1.243388569
-30	-45	1.85374464354312	0.7006496173	-1.213560735	1.213560735
-35	-45	1.85641371695953	0.8237141687	-1.176385748	1.176385748
-40	-45	1.85956561261028	0.9488872496	-1.130839789	1.130839789
-45	-45	1.86320548263052	1.075722187	-1.075722187	1.075722187
-
--45	-40	1.85956561354720	-1.130839789	-0.9488872501	1.130839789
--40	-40	1.85507517747233	-1.003069206	-1.003069206	1.195411330
--35	-40	1.85110077750230	-0.8749858845	-1.048546742	1.249609347
--30	-40	1.84767004140345	-0.7473488056	-1.086169247	1.294446102
--25	-40	1.84479039642235	-0.6205772874	-1.116700882	1.330832288
--20	-40	1.84245617105696	-0.4948347321	-1.140795598	1.359547253
--15	-40	1.84065712951401	-0.3700990200	-1.158988196	1.381228346
--10	-40	1.83938129280527	-0.2462171757	-1.171691028	1.396366992
--5	-40	1.83861907916504	-0.1229488110	-1.179196228	1.405311341
-0	-40	1.83836339738286	0.000000000	-1.181677214	1.408268065
-5	-40	1.83861302168555	0.1229484060	-1.179192343	1.405306711
-10	-40	1.83936983426603	0.2462156419	-1.171683729	1.396358294
-15	-40	1.84064145273288	0.3700958679	-1.158978325	1.381216583
-20	-40	1.84243862961100	0.4948300210	-1.140784737	1.359534309
-25	-40	1.84477243956586	0.6205712469	-1.116690012	1.330819334
-30	-40	1.84765527521154	0.7473428329	-1.086160567	1.294435757
-35	-40	1.85109191530352	0.8749816955	-1.048541722	1.249603364
-40	-40	1.85507517653605	1.003069206	-1.003069206	1.195411330
-45	-40	1.85957717500691	1.130846820	-0.9488931496	1.130846820
-
--45	-35	1.85641371753900	-1.176385749	-0.8237141689	1.176385749
--40	-35	1.85109191596710	-1.048541723	-0.8749816958	1.249603365
--35	-35	1.84629366673132	-0.9186101430	-0.9186101430	1.311911245
--30	-35	1.84208377299438	-0.7875553902	-0.9551432647	1.364085950
--25	-35	1.83849931738522	-0.6560334457	-0.9850997640	1.406868264
--20	-35	1.83556018207893	-0.5244531399	-1.008945258	1.440923160
--15	-35	1.83327397821347	-0.3930313260	-1.027073434	1.466812877
--10	-35	1.83164209733276	-0.2618425846	-1.039796354	1.484983090
--5	-35	1.83066331700548	-0.1308616366	-1.047339172	1.495755351
-0	-35	1.83033543510015	0.000000000	-1.049837276	1.499323013
-5	-35	1.83065880832207	0.1308613143	-1.047336593	1.495751667
-10	-35	1.83163384068872	0.2618414043	-1.039791666	1.484976396
-15	-35	1.83326294440009	0.3930289604	-1.027067252	1.466804049
-20	-35	1.83554869149028	0.5244498569	-1.008938942	1.440914139
-25	-35	1.83848891689872	0.6560297345	-0.9850941912	1.406860306
-30	-35	1.84207705253694	0.7875525170	-0.9551397801	1.364080973
-35	-35	1.84629366616472	0.9186101427	-0.9186101427	1.311911244
-40	-35	1.85110077688111	1.048546742	-0.8749858842	1.249609347
-45	-35	1.85643341313701	1.176398229	-0.8237229081	1.176398229
-
--45	-30	1.85374464396995	-1.213560736	-0.7006496175	1.213560736
--40	-30	1.84765527569227	-1.086160567	-0.7473428331	1.294435758
--35	-30	1.84207705299081	-0.9551397803	-0.7875525172	1.364080973
--30	-30	1.83711145339227	-0.8215812184	-0.8215812184	1.423020413
--25	-30	1.83283055916410	-0.6863099677	-0.8497420913	1.471796475
--20	-30	1.82928372373596	-0.5499313069	-0.8723322904	1.510923848
--15	-30	1.82650115226786	-0.4128707669	-0.8896128637	1.540854679
--10	-30	1.82450263411573	-0.2754155806	-0.9017976658	1.561959375
--5	-30	1.82329920860348	-0.1377518198	-0.9090440639	1.574510505
-0	-30	1.82289610943762	0.000000000	-0.9114480547	1.578674339
-5	-30	1.82329603406357	0.1377515799	-0.9090424811	1.574507764
-10	-30	1.82449706609122	0.2754147401	-0.9017949136	1.561954608
-15	-30	1.82649400705454	0.4128691518	-0.8896093836	1.540848651
-20	-30	1.82927710559790	0.5499293174	-0.8723291344	1.510918382
-25	-30	1.83282645998687	0.6863084328	-0.8497401908	1.471793184
-30	-30	1.83711145301843	0.8215812182	-0.8215812182	1.423020413
-35	-30	1.84208377257247	0.9551432645	-0.7875553900	1.364085949
-40	-30	1.84767004098852	1.086169247	-0.7473488054	1.294446102
-45	-30	1.85376832120692	1.213576236	-0.7006585666	1.213576236
-
--45	-25	1.85153994682464	-1.243388569	-0.5798016117	1.243388569
--40	-25	1.84477243993001	-1.116690012	-0.6205712470	1.330819334
--35	-25	1.83848891725308	-0.9850941914	-0.6560297346	1.406860306
--30	-25	1.83282646029592	-0.8497401910	-0.6863084329	1.471793184
--25	-25	1.82789205352152	-0.7115647809	-0.7115647809	1.525955597
--20	-25	1.82376545507530	-0.5713224552	-0.7319610535	1.569695545
--15	-25	1.82050445851425	-0.4296129665	-0.7476485169	1.603337419
--10	-25	1.81814965798728	-0.2869116655	-0.7587557294	1.627156913
--5	-25	1.81672658275770	-0.1436005481	-0.7653795659	1.641361776
-0	-25	1.81624974196668	0.000000000	-0.7675803088	1.646081284
-5	-25	1.81672475338126	0.1436004035	-0.7653787952	1.641360123
-10	-25	1.81814667867422	0.2869111954	-0.7587544860	1.627154246
-15	-25	1.82050070811728	0.4296120815	-0.7476469767	1.603334116
-20	-25	1.82376256875936	0.5713215510	-0.7319598951	1.569693061
-25	-25	1.82789205327452	0.7115647808	-0.7115647808	1.525955597
-30	-25	1.83283055887975	0.8497420912	-0.6863099676	1.471796475
-35	-25	1.83849931708393	0.9850997638	-0.6560334456	1.406868264
-40	-25	1.84479039613872	1.116700882	-0.6205772873	1.330832287
-45	-25	1.85156544646785	1.243405693	-0.5798095968	1.243405693
-
--45	-20	1.84977769598374	-1.266711264	-0.4610451955	1.266711264
--40	-20	1.84243862989187	-1.140784737	-0.4948300210	1.359534309
--35	-20	1.83554869176481	-1.008938942	-0.5244498570	1.440914140
--30	-20	1.82927710584343	-0.8723291345	-0.5499293174	1.510918382
--25	-20	1.82376256896166	-0.7319598952	-0.5713215511	1.569693061
--20	-20	1.81911571224851	-0.5886941811	-0.5886941811	1.617423969
--15	-20	1.81542104263437	-0.4432693319	-0.6021172936	1.654303668
--10	-20	1.81274060650565	-0.2963186660	-0.6116544039	1.680506663
--5	-20	1.81111556124881	-0.1483956002	-0.6173552002	1.696169472
-0	-20	1.81057065650216	0.000000000	-0.6192516354	1.701379885
-5	-20	1.81111471085341	0.1483955306	-0.6173549103	1.696168676
-10	-20	1.81273949174882	0.2963184838	-0.6116540277	1.680505630
-15	-20	1.81541986805409	0.4432690451	-0.6021169040	1.654302598
-20	-20	1.81911571209409	0.5886941810	-0.5886941810	1.617423969
-25	-20	1.82376545489197	0.7319610535	-0.5713224551	1.569695545
-30	-20	1.82928372353270	0.8723322903	-0.5499313069	1.510923848
-35	-20	1.83556018187180	1.008945258	-0.5244531399	1.440923159
-40	-20	1.84245617086695	1.140795598	-0.4948347321	1.359547253
-45	-20	1.84980151741876	1.266727577	-0.4610511328	1.266727577
-
--45	-15	1.84843478848531	-1.284193767	-0.3440986829	1.284193767
--40	-15	1.84064145294763	-1.158978325	-0.3700958679	1.381216583
--35	-15	1.83326294460856	-1.027067252	-0.3930289605	1.466804049
--30	-15	1.82649400724222	-0.8896093837	-0.4128691518	1.540848651
--25	-15	1.82050070827429	-0.7476469767	-0.4296120815	1.603334116
--20	-15	1.81541986817589	-0.6021169041	-0.4432690451	1.654302598
--15	-15	1.81136013071397	-0.4538594790	-0.4538594790	1.693826635
--10	-15	1.80840347583046	-0.3036326036	-0.4614047754	1.721986065
--5	-15	1.80660611689295	-0.1521296216	-0.4659233277	1.738849531
-0	-15	1.80600287290333	0.000000000	-0.4674279390	1.744464817
-5	-15	1.80660574402912	0.1521295902	-0.4659232315	1.738849172
-10	-15	1.80840318748550	0.3036325552	-0.4614047018	1.721985790
-15	-15	1.81136013062755	0.4538594790	-0.4538594790	1.693826635
-20	-15	1.81542104252721	0.6021172936	-0.4432693319	1.654303668
-25	-15	1.82050445839036	0.7476485168	-0.4296129665	1.603337418
-30	-15	1.82650115213482	0.8896128636	-0.4128707669	1.540854679
-35	-15	1.83327397808243	1.027073434	-0.3930313259	1.466812877
-40	-15	1.84065712939770	1.158988196	-0.3700990200	1.381228346
-45	-15	1.84845489070308	1.284207733	-0.3441024250	1.284207733
-
--45	-10	1.84749188667811	-1.296336732	-0.2285791420	1.296336732
--40	-10	1.83936983442373	-1.171683729	-0.2462156419	1.396358294
--35	-10	1.83163384083916	-1.039791666	-0.2618414043	1.484976396
--30	-10	1.82449706622557	-0.9017949137	-0.2754147401	1.561954609
--25	-10	1.81814667878643	-0.7587544861	-0.2869111954	1.627154246
--20	-10	1.81273949183641	-0.6116540278	-0.2963184838	1.680505630
--15	-10	1.80840318754823	-0.4614047018	-0.3036325552	1.721985790
--10	-10	1.80523616369429	-0.3088540096	-0.3088540096	1.751598130
--5	-10	1.80330733234509	-0.1547985753	-0.3119851682	1.769355812
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-
--45	-5	1.84693424413698	-1.303487800	-0.1140404055	1.303487800
--40	-5	1.83861302179074	-1.179192343	-0.1229484060	1.405306711
--35	-5	1.83065880841886	-1.047336593	-0.1308613143	1.495751667
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--25	-5	1.81672475344959	-0.7653787952	-0.1436004035	1.641360123
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--15	-5	1.80660574406583	-0.4659232315	-0.1521295902	1.738849172
--10	-5	1.80330718778047	-0.3119851432	-0.1547985629	1.769355671
--5	-5	1.80129602363226	-0.1564003983	-0.1564003983	1.787664732
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-
--45	0	1.84675172285549	-1.305850666	0.000000000	1.305850666
--40	0	1.83836339743699	-1.181677214	0.000000000	1.408268065
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-
--45	5	1.84694170100322	-1.303493062	0.1140408660	1.303493062
--40	5	1.83861907916694	-1.179196228	0.1229488110	1.405311341
--35	5	1.83066331699649	-1.047339172	0.1308616366	1.495755351
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--25	5	1.81672658273627	-0.7653795659	0.1436005481	1.641361776
--20	5	1.81111556122592	-0.6173552002	0.1483956002	1.696169472
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--10	5	1.80330733232825	-0.3119851682	0.1547985753	1.769355812
--5	5	1.80129602362237	-0.1564003983	0.1564003983	1.787664732
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--45	10	1.84750630111010	-1.296346847	0.2285809254	1.296346847
--40	10	1.83938129275137	-1.171691028	0.2462171757	1.396366992
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--20	10	1.81274060644205	-0.6116544039	0.2963186660	1.680506663
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--5	10	1.80330718775794	-0.1547985629	0.3119851432	1.769355671
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-
--45	15	1.84845489070308	-1.284207733	0.3441024250	1.284207733
--40	15	1.84065712939769	-1.158988196	0.3700990200	1.381228346
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-
--45	20	1.84980151741876	-1.266727577	0.4610511328	1.266727577
--40	20	1.84245617086693	-1.140795598	0.4948347321	1.359547253
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-
--45	25	1.85156544646784	-1.243405693	0.5798095968	1.243405693
--40	25	1.84479039613869	-1.116700882	0.6205772873	1.330832287
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--25	25	1.82789205327443	-0.7115647808	0.7115647808	1.525955597
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--45	30	1.85376832120689	-1.213576236	0.7006585666	1.213576236
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--45	35	1.85643341313699	-1.176398229	0.8237229081	1.176398229
--40	35	1.85110077688107	-1.048546742	0.8749858842	1.249609347
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-
--45	40	1.85957717500687	-1.130846820	0.9488931496	1.130846820
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-
--45	45	1.86320548263048	-1.075722187	1.075722187	1.075722187
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--35	45	1.85641371695947	-0.8237141687	1.176385748	1.176385748
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-
-
-### +x patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = drho = dnu
-# dpy = dsigma = dphi
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-45	1.86320536619960	1.075722120	-1.075722120	1.075722120
-45	-40	1.85957706207812	1.130846751	-0.9488930919	1.130846751
-45	-35	1.85643338752923	1.176398213	-0.8237228968	1.176398213
-45	-30	1.85376823715937	1.213576181	-0.7006585348	1.213576181
-45	-25	1.85156541644366	1.243405673	-0.5798095874	1.243405673
-45	-20	1.84980150077214	1.266727565	-0.4610511287	1.266727565
-45	-15	1.84845488772368	1.284207731	-0.3441024245	1.284207731
-45	-10	1.84750630098330	1.296346846	-0.2285809254	1.296346846
-45	-5	1.84694170140159	1.303493063	-0.1140408660	1.303493063
-45	0	1.84675172320800	1.305850667	0.000000000	1.305850667
-45	5	1.84693424480335	1.303487800	0.1140404056	1.303487800
-45	10	1.84749188775533	1.296336733	0.2285791421	1.296336733
-45	15	1.84843478550457	1.284193765	0.3440986823	1.284193765
-45	20	1.84977769133911	1.266711261	0.4610451943	1.266711261
-45	25	1.85153991037774	1.243388544	0.5798016003	1.243388544
-45	30	1.85374458322703	1.213560696	0.7006495945	1.213560696
-45	35	1.85641366891659	1.176385718	0.8237141474	1.176385718
-45	40	1.85956548282128	1.130839710	0.9488871833	1.130839710
-45	45	1.86320539731521	1.075722138	1.075722138	1.075722138
-
-50	-45	1.87053229724106	1.137508853	-1.137508853	0.9544832593
-50	-40	1.86731533188089	1.203298892	-1.009687656	1.009687656
-50	-35	1.86446036940606	1.258627911	-0.8813007511	1.056114216
-50	-30	1.86198984635758	1.304478313	-0.7531409053	1.094587272
-50	-25	1.85991282821473	1.341741614	-0.6256643899	1.125854893
-50	-20	1.85822580720421	1.371183657	-0.4990700370	1.150559701
-50	-15	1.85692306951383	1.393434301	-0.3733695957	1.169230208
-50	-10	1.85599703250074	1.408980837	-0.2484413369	1.182275301
-50	-5	1.85544217064629	1.418169731	-0.1240737744	1.189985698
-50	0	1.85525391642395	1.421206953	0.000000000	1.192534230
-50	5	1.85543196794196	1.418161933	0.1240730921	1.189979155
-50	10	1.85597754398784	1.408966043	0.2484387282	1.182262887
-50	15	1.85689585874788	1.393413882	0.3733641244	1.169213075
-50	20	1.85819436696735	1.371160458	0.4990615930	1.150540234
-50	25	1.85987929614869	1.341717424	0.6256531099	1.125834596
-50	30	1.86195895720062	1.304456673	0.7531284112	1.094569113
-50	35	1.86443571195465	1.258611266	0.8812890959	1.056100249
-50	40	1.86730096024353	1.203289631	1.009679885	1.009679885
-50	45	1.87053228366298	1.137508845	1.137508845	0.9544832524
-
-55	-45	1.87697593875238	1.189415766	-1.189415766	0.8328378857
-55	-40	1.87428075632610	1.265257289	-1.061676925	0.8859426917
-55	-35	1.87183812934780	1.330062240	-0.9313196068	0.9313196068
-55	-30	1.86968534244065	1.384525255	-0.7993560288	0.9694550205
-55	-25	1.86784353339391	1.429323234	-0.6665043700	1.000822903
-55	-20	1.86632670434947	1.465075021	-0.5332436985	1.025856573
-55	-15	1.86514168227291	1.492310408	-0.3998633686	1.044926997
-55	-10	1.86429163959619	1.511453336	-0.2665100033	1.058331020
-55	-5	1.86377904145994	1.522812769	-0.1332288540	1.066284980
-55	0	1.86360351618542	1.526574630	0.000000000	1.068919064
-55	5	1.86376633377510	1.522802386	0.1332279456	1.066277710
-55	10	1.86426762235901	1.511433865	0.2665065699	1.058317386
-55	15	1.86510762021836	1.492283154	0.3998560661	1.044907914
-55	20	1.86628726935583	1.465044064	0.5332324312	1.025834897
-55	25	1.86780264694466	1.429291947	0.6664897804	1.000800995
-55	30	1.86964744930190	1.384497195	0.7993398281	0.9694353725
-55	35	1.87180918321394	1.330041672	0.9313052049	0.9313052049
-55	40	1.87426435732465	1.265246219	1.061667636	0.8859349402
-55	45	1.87697589136522	1.189415736	1.189415736	0.8328378647
-
-60	-45	1.88250590733363	1.232389402	-1.232389402	0.7115203532
-60	-40	1.88038358415890	1.317364652	-1.105400194	0.7605808365
-60	-35	1.87842471321548	1.390996868	-0.9739864926	0.8030924162
-60	-30	1.87666635639987	1.453659509	-0.8392707088	0.8392707088
-60	-25	1.87513806153508	1.505770174	-0.7021521635	0.8693568153
-60	-20	1.87386472341735	1.547746182	-0.5633335403	0.8935916746
-60	-15	1.87285887697030	1.579962520	-0.4233496814	0.9121917864
-60	-10	1.87213114480538	1.602734213	-0.2826052846	0.9253390293
-60	-5	1.87168896887348	1.616297495	-0.1414077077	0.9331697938
-60	0	1.87153572385448	1.620797481	0.000000000	0.9357678619
-60	5	1.87167376108233	1.616284362	0.1414065587	0.9331622117
-60	10	1.87210281400821	1.602709959	0.2826010080	0.9253250262
-60	15	1.87281890376403	1.579928798	0.4233406456	0.9121723171
-60	20	1.87381897836104	1.547708398	0.5633197882	0.8935698602
-60	25	1.87509292475391	1.505733928	0.7021352619	0.8693358888
-60	30	1.87662372158440	1.453626484	0.8392516419	0.8392516419
-60	35	1.87839186081111	1.390972540	0.9739694582	0.8030783706
-60	40	1.88036601666020	1.317352345	1.105389866	0.7605737308
-60	45	1.88250592665306	1.232389415	1.232389415	0.7115203605
-
-65	-45	1.88712557147171	1.267285844	-1.267285844	0.5909450939
-65	-40	1.88557250029601	1.360252508	-1.141387378	0.6342961617
-65	-35	1.88411429676653	1.441774052	-1.009541060	0.6723102818
-65	-30	1.88278423418740	1.511910191	-0.8729017555	0.7050153003
-65	-25	1.88161472210339	1.570804201	-0.7324780284	0.7324780284
-65	-20	1.88062761831792	1.618636204	-0.5891353985	0.7547824579
-65	-15	1.87983895867226	1.655593937	-0.4436150583	0.7720161315
-65	-10	1.87926299839134	1.681850427	-0.2965556078	0.7842597339
-65	-5	1.87891051356517	1.697543222	-0.1485157878	0.7915774046
-65	0	1.87878710501086	1.702759383	0.000000000	0.7940097405
-65	5	1.87889407922564	1.697528374	0.1485144888	0.7915704809
-65	10	1.87923260587567	1.681823227	0.2965508117	0.7842470504
-65	15	1.87979536323586	1.655555542	0.4436047704	0.7719982276
-65	20	1.88057660448337	1.618592297	0.5891194176	0.7547619837
-65	25	1.88156456107889	1.570762326	0.7324585017	0.7324585017
-65	30	1.88273968139273	1.511874414	0.8728810998	0.7049986173
-65	35	1.88407934614606	1.441747307	1.009522332	0.6722978103
-65	40	1.88555371943718	1.360238960	1.141376009	0.6342898439
-65	45	1.88712557845627	1.267285848	1.267285848	0.5909450961
-
-70	-45	1.89085325989162	1.294839444	-1.294839444	0.4712830156
-70	-40	1.88982095921868	1.394497700	-1.170122506	0.5075556547
-70	-35	1.88883643562611	1.482745263	-1.038229410	0.5396751407
-70	-30	1.88792674722909	1.559360917	-0.9002974455	0.5675609584
-70	-25	1.88711680039368	1.624221374	-0.7573868655	0.5911682342
-70	-20	1.88642418194163	1.677269713	-0.6104762503	0.6104762503
-70	-15	1.88586506733260	1.718495834	-0.4604695709	0.6254813312
-70	-10	1.88545283783026	1.747914757	-0.3082045317	0.6361889436
-70	-5	1.88519837862041	1.765550475	-0.1544656514	0.6426078199
-70	0	1.88510707343256	1.771421206	0.000000000	0.6447445914
-70	5	1.88518214984684	1.765535276	0.1544643217	0.6426022880
-70	10	1.88542300120635	1.747887097	0.3081996544	0.6361788762
-70	15	1.88582194660091	1.718456540	0.4604590421	0.6254670294
-70	20	1.88637176694782	1.677223109	0.6104592880	0.6104592880
-70	25	1.88706414244232	1.624176052	0.7573657314	0.5911517383
-70	30	1.88788117522365	1.559323277	0.9002757135	0.5675472583
-70	35	1.88880137826271	1.482717743	1.038210140	0.5396651242
-70	40	1.88980172156321	1.394483505	1.170110595	0.5075504879
-70	45	1.89085325951794	1.294839443	1.294839443	0.4712830155
-
-75	-45	1.89371598924530	1.315652727	-1.315652727	0.3525280857
-75	-40	1.89312098687639	1.420597203	-1.192022589	0.3806478734
-75	-35	1.89254460064304	1.514235638	-1.060279208	0.4057382162
-75	-30	1.89200584250194	1.596115092	-0.9215174782	0.4276777500
-75	-25	1.89151912313868	1.665880780	-0.7768129655	0.4463714098
-75	-20	1.89109755341405	1.723263940	-0.6272167801	0.4617471812
-75	-15	1.89075178826270	1.768066816	-0.4737520756	0.4737520756
-75	-10	1.89049419729879	1.800153952	-0.3174157111	0.4823497976
-75	-5	1.89033369756604	1.819436917	-0.1591801043	0.4875166527
-75	0	1.89027432437066	1.825864789	0.000000000	0.4892389956
-75	5	1.89031897404178	1.819422746	0.1591788644	0.4875128555
-75	10	1.89046686617521	1.800127926	0.3174111222	0.4823428242
-75	15	1.89071155292603	1.768029192	0.4737419941	0.4737419941
-75	20	1.89104700142258	1.723217875	0.6272000136	0.4617348379
-75	25	1.89146713451871	1.665834993	0.7767916147	0.4463591412
-75	30	1.89196030210579	1.596076674	0.9214952973	0.4276674558
-75	35	1.89251083859520	1.514208624	1.060260293	0.4057309781
-75	40	1.89310197304704	1.420582935	1.192010617	0.3806440503
-75	45	1.89371598530860	1.315652724	1.315652724	0.3525280850
-
-80	-45	1.89573936979979	1.330190729	-1.330190729	0.2345485151
-80	-40	1.89547339411299	1.438949332	-1.207421854	0.2537255911
-80	-35	1.89521033137713	1.536520316	-1.075883108	0.2709299881
-80	-30	1.89496004268207	1.622278066	-0.9366226780	0.2860513932
-80	-25	1.89472886667170	1.695691639	-0.7907139970	0.2989961869
-80	-20	1.89452359358525	1.756323829	-0.6392495954	0.3096872779
-80	-15	1.89435048135363	1.803825957	-0.4833337085	0.3180631847
-80	-10	1.89421989763427	1.837937937	-0.3240780471	0.3240780471
-80	-5	1.89413777199296	1.858476154	-0.1625955949	0.3276994890
-80	0	1.89410580716783	1.865330084	0.000000000	0.3289080217
-80	5	1.89412573407790	1.858464343	0.1625945616	0.3276974064
-80	10	1.89419712246340	1.837915838	0.3240741506	0.3240741506
-80	15	1.89431540672750	1.803792558	0.4833247593	0.3180572957
-80	20	1.89447643968771	1.756280115	0.6392336847	0.3096795699
-80	25	1.89467914641401	1.695647141	0.7906932476	0.2989883408
-80	30	1.89491549483914	1.622239928	0.9366006593	0.2860446686
-80	35	1.89517711257182	1.536493384	1.075864250	0.2709252393
-80	40	1.89545478514246	1.438935205	1.207410000	0.2537231001
-80	45	1.89573936631921	1.330190727	1.330190727	0.2345485146
-
-85	-45	1.89694468222590	1.338783044	-1.338783044	0.1171283393
-85	-40	1.89688218915634	1.449843572	-1.216563206	0.1268448764
-85	-35	1.89681502315923	1.549805032	-1.085185166	0.1355903710
-85	-30	1.89674679164759	1.637936184	-0.9456628969	0.1433008477
-85	-25	1.89667933151267	1.713596853	-0.7990633358	0.1499202985
-85	-20	1.89661299117318	1.776240636	-0.6464987204	0.1554009193
-85	-15	1.89655234886603	1.825422339	-0.4891204415	0.1597037608
-85	-10	1.89650567352230	1.860799475	-0.3281091531	0.1627988591
-85	-5	1.89647600077145	1.882124436	-0.1646645515	0.1646645515
-85	0	1.89646272422797	1.889246111	0.000000000	0.1652876173
-85	5	1.89646650092960	1.882115008	0.1646637267	0.1646637267
-85	10	1.89648736012982	1.860781506	0.3281059847	0.1627972871
-85	15	1.89652236301660	1.825393477	0.4891127081	0.1597012357
-85	20	1.89656906003528	1.776199493	0.6464837456	0.1553973198
-85	25	1.89663038268237	1.713552630	0.7990427138	0.1499164294
-85	30	1.89670319648706	1.637898538	0.9456411617	0.1432975541
-85	35	1.89678217434044	1.549778193	1.085166373	0.1355880229
-85	40	1.89686398383514	1.449829657	1.216551530	0.1268436590
-85	45	1.89694467940667	1.338783042	1.338783042	0.1171283391
-
-90	-45	1.89734414798273	1.341624913	-1.341624913	0.000000000
-90	-40	1.89735054473313	1.453454841	-1.219593421	0.000000000
-90	-35	1.89735011340882	1.554218224	-1.088275317	0.000000000
-90	-30	1.89734422111623	1.643148295	-0.9486721106	0.000000000
-90	-25	1.89733306611960	1.719567732	-0.8018476023	0.000000000
-90	-20	1.89731476574361	1.782892685	-0.6489198681	0.000000000
-90	-15	1.89729322770364	1.832644529	-0.4910556215	0.000000000
-90	-10	1.89727595873419	1.868452074	-0.3294585128	0.000000000
-90	-5	1.89726479860810	1.890045133	-0.1653575227	0.000000000
-90	0	1.89725817053326	1.897258171	0.000000000	0.000000000
-90	5	1.89725631820464	1.890036685	0.1653567836	0.000000000
-90	10	1.89725948856134	1.868435854	0.3294556527	0.000000000
-90	15	1.89726537507772	1.832617625	0.4910484127	0.000000000
-90	20	1.89727221046727	1.782852696	0.6489053134	0.000000000
-90	25	1.89728453554346	1.719523749	0.8018270924	0.000000000
-90	30	1.89730106058057	1.643110917	0.9486505303	0.000000000
-90	35	1.89731742332447	1.554191446	1.088256566	0.000000000
-90	40	1.89733250677152	1.453441024	1.219581827	0.000000000
-90	45	1.89734414613162	1.341624912	1.341624912	0.000000000
-
-
-### +y patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = 90 - dsigma = 90 - dphi
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
-45	45	1.86320536686171	1.075722120	1.075722120	1.075722120
-40	45	1.85957706266078	0.9488930922	1.130846752	1.130846752
-35	45	1.85643338797004	0.8237228970	1.176398213	1.176398213
-30	45	1.85376823748081	0.7006585350	1.213576181	1.213576181
-25	45	1.85156541667213	0.5798095874	1.243405673	1.243405673
-20	45	1.84980150092576	0.4610511287	1.266727565	1.266727565
-15	45	1.84845488781446	0.3441024245	1.284207731	1.284207731
-10	45	1.84750630101895	0.2285809254	1.296346846	1.296346846
-5	45	1.84694170138690	0.1140408660	1.303493063	1.303493063
-0	45	1.84675172314594	0.000000000	1.305850667	1.305850667
--5	45	1.84693424469487	-0.1140404056	1.303487800	1.303487800
--10	45	1.84749188759946	-0.2285791421	1.296336733	1.296336733
--15	45	1.84843478529811	-0.3440986823	1.284193765	1.284193765
--20	45	1.84977769107605	-0.4610451943	1.266711261	1.266711261
--25	45	1.85153991004820	-0.5798016002	1.243388544	1.243388544
--30	45	1.85374458281631	-0.7006495943	1.213560696	1.213560696
--35	45	1.85641366840439	-0.8237141471	1.176385717	1.176385717
--40	45	1.85956548219618	-0.9488871830	1.130839709	1.130839709
--45	45	1.86320539665249	-1.075722137	1.075722137	1.075722137
-
-45	50	1.87053229770860	1.137508854	1.137508854	0.9544832595
-40	50	1.86731533234205	1.009687656	1.203298892	1.009687656
-35	50	1.86446036979561	0.8813007512	1.258627911	1.056114216
-30	50	1.86198984665982	0.7531409054	1.304478313	1.094587272
-25	50	1.85991282843570	0.6256643899	1.341741614	1.125854894
-20	50	1.85822580735448	0.4990700371	1.371183658	1.150559701
-15	50	1.85692306960182	0.3733695957	1.393434301	1.169230208
-10	50	1.85599703253240	0.2484413369	1.408980837	1.182275301
-5	50	1.85544217062636	0.1240737744	1.418169731	1.189985698
-0	50	1.85525391635561	0.000000000	1.421206953	1.192534230
--5	50	1.85543196782658	-0.1240730921	1.418161933	1.189979155
--10	50	1.85597754382461	-0.2484387282	1.408966042	1.182262887
--15	50	1.85689585853414	-0.3733641244	1.393413882	1.169213074
--20	50	1.85819436669881	-0.4990615929	1.371160458	1.150540234
--25	50	1.85987929581958	-0.6256531098	1.341717424	1.125834595
--30	50	1.86195895680543	-0.7531284110	1.304456673	1.094569113
--35	50	1.86443571149400	-0.8812890957	1.258611265	1.056100249
--40	50	1.86730095974320	-1.009679885	1.203289630	1.009679885
--45	50	1.87053228319463	-1.137508845	1.137508845	0.9544832521
-
-45	55	1.87697593911944	1.189415767	1.189415767	0.8328378859
-40	55	1.87428075669101	1.061676925	1.265257289	0.8859426919
-35	55	1.87183812967249	0.9313196070	1.330062240	0.9313196070
-30	55	1.86968534270482	0.7993560289	1.384525255	0.9694550206
-25	55	1.86784353359301	0.6665043700	1.429323234	1.000822903
-20	55	1.86632670448655	0.5332436985	1.465075021	1.025856574
-15	55	1.86514168235245	0.3998633686	1.492310408	1.044926997
-10	55	1.86429163962163	0.2665100033	1.511453336	1.058331020
-5	55	1.86377904143485	0.1332288539	1.522812769	1.066284980
-0	55	1.86360351611280	0.000000000	1.526574630	1.068919064
--5	55	1.86376633365674	-0.1332279456	1.522802386	1.066277710
--10	55	1.86426762219469	-0.2665065699	1.511433865	1.058317385
--15	55	1.86510762000690	-0.3998560661	1.492283154	1.044907914
--20	55	1.86628726909566	-0.5332324311	1.465044064	1.025834897
--25	55	1.86780264663501	-0.6664897803	1.429291946	1.000800995
--30	55	1.86964744894516	-0.7993398280	1.384497195	0.9694353723
--35	55	1.87180918282140	-0.9313052047	1.330041672	0.9313052047
--40	55	1.87426435692442	-1.061667635	1.265246219	0.8859349400
--45	55	1.87697589099785	-1.189415736	1.189415736	0.8328378645
-
-45	60	1.88250590764014	1.232389403	1.232389403	0.7115203533
-40	60	1.88038358445917	1.105400194	1.317364652	0.7605808366
-35	60	1.87842471348632	0.9739864927	1.390996868	0.8030924163
-30	60	1.87666635662488	0.8392707089	1.453659509	0.8392707089
-25	60	1.87513806170794	0.7021521636	1.505770174	0.8693568154
-20	60	1.87386472353693	0.5633335404	1.547746182	0.8935916747
-15	60	1.87285887703833	0.4233496814	1.579962520	0.9121917864
-10	60	1.87213114482391	0.2826052846	1.602734213	0.9253390293
-5	60	1.87168896884459	0.1414077077	1.616297495	0.9331697938
-0	60	1.87153572378022	0.000000000	1.620797481	0.9357678619
--5	60	1.87167376096477	-0.1414065587	1.616284362	0.9331622116
--10	60	1.87210281384780	-0.2826010080	1.602709959	0.9253250261
--15	60	1.87281890356101	-0.4233406456	1.579928798	0.9121723170
--20	60	1.87381897811702	-0.5633197881	1.547708398	0.8935698600
--25	60	1.87509292447099	-0.7021352618	1.505733928	0.8693358887
--30	60	1.87662372126882	-0.8392516418	1.453626484	0.8392516418
--35	60	1.87839186047617	-0.9739694580	1.390972540	0.8030783705
--40	60	1.88036601632727	-1.105389866	1.317352344	0.7605737306
--45	60	1.88250592634645	-1.232389415	1.232389415	0.7115203604
-
-45	65	1.88712557173809	1.267285844	1.267285844	0.5909450940
-40	65	1.88557250055230	1.141387378	1.360252509	0.6342961617
-35	65	1.88411429699739	1.009541060	1.441774052	0.6723102819
-30	65	1.88278423438099	0.8729017556	1.511910191	0.7050153003
-25	65	1.88161472225317	0.7324780285	1.570804201	0.7324780285
-20	65	1.88062761842117	0.5891353985	1.618636205	0.7547824579
-15	65	1.87983895872883	0.4436150583	1.655593937	0.7720161315
-10	65	1.87926299840264	0.2965556078	1.681850427	0.7842597339
-5	65	1.87891051353256	0.1485157878	1.697543222	0.7915774046
-0	65	1.87878710493566	0.000000000	1.702759383	0.7940097405
--5	65	1.87889407910998	-0.1485144888	1.697528374	0.7915704808
--10	65	1.87923260572054	-0.2965508117	1.681823227	0.7842470504
--15	65	1.87979536304295	-0.4436047704	1.655555542	0.7719982275
--20	65	1.88057660425631	-0.5891194176	1.618592297	0.7547619836
--25	65	1.88156456082130	-0.7324585016	1.570762326	0.7324585016
--30	65	1.88273968111204	-0.8728810997	1.511874414	0.7049986172
--35	65	1.88407934585418	-1.009522332	1.441747307	0.6722978102
--40	65	1.88555371914980	-1.141376009	1.360238960	0.6342898438
--45	65	1.88712557818983	-1.267285848	1.267285848	0.5909450960
-
-45	70	1.89085326013052	1.294839444	1.294839444	0.4712830157
-40	70	1.88982095944501	1.170122506	1.394497700	0.5075556547
-35	70	1.88883643582838	1.038229410	1.482745263	0.5396751407
-30	70	1.88792674739868	0.9002974456	1.559360918	0.5675609585
-25	70	1.88711680052453	0.7573868655	1.624221375	0.5911682342
-20	70	1.88642418203154	0.6104762504	1.677269713	0.6104762504
-15	70	1.88586506737952	0.4604695709	1.718495834	0.6254813312
-10	70	1.88545283783489	0.3082045317	1.747914757	0.6361889436
-5	70	1.88519837858401	0.1544656514	1.765550475	0.6426078199
-0	70	1.88510707335628	0.000000000	1.771421206	0.6447445914
--5	70	1.88518214973269	-0.1544643217	1.765535276	0.6426022880
--10	70	1.88542300105604	-0.3081996544	1.747887097	0.6361788761
--15	70	1.88582194641727	-0.4604590421	1.718456540	0.6254670294
--20	70	1.88637176673489	-0.6104592880	1.677223109	0.6104592880
--25	70	1.88706414220572	-0.7573657313	1.624176052	0.5911517382
--30	70	1.88788117497005	-0.9002757134	1.559323276	0.5675472582
--35	70	1.88880137800196	-1.038210140	1.482717742	0.5396651241
--40	70	1.88980172130733	-1.170110594	1.394483505	0.5075504879
--45	70	1.89085325927899	-1.294839443	1.294839443	0.4712830155
-
-45	75	1.89371598946557	1.315652727	1.315652727	0.3525280858
-40	75	1.89312098708229	1.192022589	1.420597203	0.3806478734
-35	75	1.89254460082540	1.060279208	1.514235638	0.4057382163
-30	75	1.89200584265403	0.9215174782	1.596115092	0.4276777500
-25	75	1.89151912325549	0.7768129655	1.665880780	0.4463714098
-20	75	1.89109755349375	0.6272167801	1.723263940	0.4617471812
-15	75	1.89075178830139	0.4737520756	1.768066816	0.4737520756
-10	75	1.89049419729720	0.3174157111	1.800153952	0.4823497976
-5	75	1.89033369752667	0.1591801043	1.819436917	0.4875166527
-0	75	1.89027432429363	0.000000000	1.825864789	0.4892389956
--5	75	1.89031897392935	-0.1591788644	1.819422746	0.4875128554
--10	75	1.89046686602900	-0.3174111221	1.800127926	0.4823428241
--15	75	1.89071155275005	-0.4737419940	1.768029191	0.4737419940
--20	75	1.89104700122194	-0.6272000135	1.723217875	0.4617348379
--25	75	1.89146713429842	-0.7767916146	1.665834993	0.4463591412
--30	75	1.89196030187206	-0.9214952972	1.596076674	0.4276674558
--35	75	1.89251083835673	-1.060260293	1.514208624	0.4057309780
--40	75	1.89310197281290	-1.192010617	1.420582935	0.3806440503
--45	75	1.89371598508832	-1.315652724	1.315652724	0.3525280850
-
-45	80	1.89573937000775	1.330190729	1.330190729	0.2345485151
-40	80	1.89547339430502	1.207421854	1.438949332	0.2537255911
-35	80	1.89521033154634	1.075883108	1.536520316	0.2709299881
-30	80	1.89496004282216	0.9366226781	1.622278066	0.2860513932
-25	80	1.89472886677844	0.7907139970	1.695691639	0.2989961869
-20	80	1.89452359365731	0.6392495954	1.756323829	0.3096872779
-15	80	1.89435048138697	0.4833337085	1.803825957	0.3180631847
-10	80	1.89421989762916	0.3240780471	1.837937937	0.3240780471
-5	80	1.89413777195163	0.1625955949	1.858476154	0.3276994890
-0	80	1.89410580709042	0.000000000	1.865330084	0.3289080217
--5	80	1.89412573396680	-0.1625945616	1.858464343	0.3276974064
--10	80	1.89419712232109	-0.3240741505	1.837915838	0.3240741505
--15	80	1.89431540655811	-0.4833247593	1.803792558	0.3180572956
--20	80	1.89447643949636	-0.6392336847	1.756280114	0.3096795698
--25	80	1.89467914620511	-0.7906932475	1.695647141	0.2989883408
--30	80	1.89491549461963	-0.9366006592	1.622239928	0.2860446685
--35	80	1.89517711234882	-1.075864250	1.536493384	0.2709252392
--40	80	1.89545478492268	-1.207410000	1.438935205	0.2537231001
--45	80	1.89573936611123	-1.330190727	1.330190727	0.2345485146
-
-45	85	1.89694468242701	1.338783044	1.338783044	0.1171283393
-40	85	1.89688218934070	1.216563206	1.449843572	0.1268448764
-35	85	1.89681502332069	1.085185166	1.549805032	0.1355903710
-30	85	1.89674679178051	0.9456628970	1.637936184	0.1433008477
-25	85	1.89667933161311	0.7990633358	1.713596854	0.1499202985
-20	85	1.89661299123962	0.6464987204	1.776240636	0.1554009194
-15	85	1.89655234889625	0.4891204415	1.825422339	0.1597037608
-10	85	1.89650567351607	0.3281091531	1.860799475	0.1627988591
-5	85	1.89647600072903	0.1646645515	1.882124436	0.1646645515
-0	85	1.89646272415044	0.000000000	1.889246111	0.1652876173
--5	85	1.89646650081931	-0.1646637266	1.882115008	0.1646637266
--10	85	1.89648735999038	-0.3281059847	1.860781506	0.1627972871
--15	85	1.89652236285188	-0.4891127081	1.825393477	0.1597012357
--20	85	1.89656905984986	-0.6464837455	1.776199493	0.1553973198
--25	85	1.89663038248055	-0.7990427137	1.713552629	0.1499164294
--30	85	1.89670319627562	-0.9456411616	1.637898538	0.1432975540
--35	85	1.89678217412562	-1.085166373	1.549778193	0.1355880228
--40	85	1.89686398362339	-1.216551530	1.449829657	0.1268436590
--45	85	1.89694467920553	-1.338783042	1.338783042	0.1171283391
-
-45	90	1.89734414818173	1.341624913	1.341624913	0.000000000
-40	90	1.89735054491525	1.219593422	1.453454842	0.000000000
-35	90	1.89735011356761	1.088275317	1.554218224	0.000000000
-30	90	1.89734422124678	0.9486721106	1.643148295	0.000000000
-25	90	1.89733306621772	0.8018476024	1.719567733	0.000000000
-20	90	1.89731476580797	0.6489198681	1.782892685	0.000000000
-15	90	1.89729322773262	0.4910556215	1.832644529	0.000000000
-10	90	1.89727595872729	0.3294585128	1.868452074	0.000000000
-5	90	1.89726479856517	0.1653575227	1.890045133	0.000000000
-0	90	1.89725817045560	0.000000000	1.897258170	0.000000000
--5	90	1.89725631809463	-0.1653567836	1.890036685	0.000000000
--10	90	1.89725948842276	-0.3294556527	1.868435854	0.000000000
--15	90	1.89726537491494	-0.4910484126	1.832617625	0.000000000
--20	90	1.89727221028436	-0.6489053133	1.782852696	0.000000000
--25	90	1.89728453534411	-0.8018270924	1.719523749	0.000000000
--30	90	1.89730106037140	-0.9486505302	1.643110917	0.000000000
--35	90	1.89731742311170	-1.088256566	1.554191446	0.000000000
--40	90	1.89733250656227	-1.219581827	1.453441023	0.000000000
--45	90	1.89734414593260	-1.341624912	1.341624912	0.000000000
-
-
-### -x patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = drho = dnu
-# dpy = 180 - dsigma = 180 - dphi
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--90	45	1.89734414798272	-1.341624913	1.341624913	1.643016656e-16
--90	40	1.89735054473312	-1.453454841	1.219593421	1.779968819e-16
--90	35	1.89735011340882	-1.554218224	1.088275317	1.903368373e-16
--90	30	1.89734422111623	-1.643148295	0.9486721106	2.012276300e-16
--90	25	1.89733306611960	-1.719567732	0.8018476023	2.105863119e-16
--90	20	1.89731476574361	-1.782892685	0.6489198681	2.183413820e-16
--90	15	1.89729322770365	-1.832644529	0.4910556215	2.244342256e-16
--90	10	1.89727595873421	-1.868452074	0.3294585128	2.288193851e-16
--90	5	1.89726479860812	-1.890045133	0.1653575227	2.314637723e-16
--90	-2.84217e-14	1.89725817053329	-1.897258171	-6.102047673e-16	2.323471146e-16
--90	-5	1.89725631820467	-1.890036685	-0.1653567836	2.314627377e-16
--90	-10	1.89725948856137	-1.868435854	-0.3294556527	2.288173988e-16
--90	-15	1.89726537507776	-1.832617625	-0.4910484127	2.244309309e-16
--90	-20	1.89727221046732	-1.782852696	-0.6489053134	2.183364847e-16
--90	-25	1.89728453554351	-1.719523749	-0.8018270924	2.105809255e-16
--90	-30	1.89730106058062	-1.643110917	-0.9486505303	2.012230525e-16
--90	-35	1.89731742332452	-1.554191446	-1.088256566	1.903335580e-16
--90	-40	1.89733250677157	-1.453441024	-1.219581827	1.779951897e-16
--90	-45	1.89734414613167	-1.341624912	-1.341624912	1.643016654e-16
-
--85	45	1.89694468222588	-1.338783044	1.338783044	0.1171283393
--85	40	1.89688218915633	-1.449843572	1.216563206	0.1268448764
--85	35	1.89681502315923	-1.549805032	1.085185166	0.1355903710
--85	30	1.89674679164759	-1.637936184	0.9456628969	0.1433008477
--85	25	1.89667933151267	-1.713596853	0.7990633358	0.1499202985
--85	20	1.89661299117319	-1.776240636	0.6464987204	0.1554009193
--85	15	1.89655234886605	-1.825422339	0.4891204415	0.1597037608
--85	10	1.89650567352231	-1.860799475	0.3281091531	0.1627988591
--85	5	1.89647600077147	-1.882124436	0.1646645515	0.1646645515
--85	-2.84217e-14	1.89646272422800	-1.889246111	-6.076278924e-16	0.1652876173
--85	-5	1.89646650092963	-1.882115008	-0.1646637267	0.1646637267
--85	-10	1.89648736012985	-1.860781506	-0.3281059847	0.1627972871
--85	-15	1.89652236301663	-1.825393477	-0.4891127081	0.1597012357
--85	-20	1.89656906003532	-1.776199493	-0.6464837456	0.1553973198
--85	-25	1.89663038268241	-1.713552630	-0.7990427138	0.1499164294
--85	-30	1.89670319648710	-1.637898538	-0.9456411617	0.1432975541
--85	-35	1.89678217434049	-1.549778193	-1.085166373	0.1355880229
--85	-40	1.89686398383519	-1.449829657	-1.216551530	0.1268436590
--85	-45	1.89694467940672	-1.338783042	-1.338783042	0.1171283391
-
--80	45	1.89573936979977	-1.330190729	1.330190729	0.2345485151
--80	40	1.89547339411298	-1.438949332	1.207421854	0.2537255911
--80	35	1.89521033137712	-1.536520316	1.075883108	0.2709299881
--80	30	1.89496004268207	-1.622278066	0.9366226780	0.2860513932
--80	25	1.89472886667170	-1.695691639	0.7907139970	0.2989961869
--80	20	1.89452359358526	-1.756323829	0.6392495954	0.3096872779
--80	15	1.89435048135364	-1.803825957	0.4833337085	0.3180631847
--80	10	1.89421989763429	-1.837937937	0.3240780471	0.3240780471
--80	5	1.89413777199298	-1.858476154	0.1625955949	0.3276994890
--80	-2.84217e-14	1.89410580716785	-1.865330084	-5.999359114e-16	0.3289080217
--80	-5	1.89412573407793	-1.858464343	-0.1625945616	0.3276974064
--80	-10	1.89419712246344	-1.837915838	-0.3240741506	0.3240741506
--80	-15	1.89431540672754	-1.803792558	-0.4833247593	0.3180572957
--80	-20	1.89447643968775	-1.756280115	-0.6392336847	0.3096795699
--80	-25	1.89467914641405	-1.695647141	-0.7906932476	0.2989883408
--80	-30	1.89491549483919	-1.622239928	-0.9366006593	0.2860446686
--80	-35	1.89517711257187	-1.536493384	-1.075864250	0.2709252393
--80	-40	1.89545478514251	-1.438935205	-1.207410000	0.2537231001
--80	-45	1.89573936631927	-1.330190727	-1.330190727	0.2345485146
-
--75	45	1.89371598924528	-1.315652727	1.315652727	0.3525280857
--75	40	1.89312098687638	-1.420597203	1.192022589	0.3806478734
--75	35	1.89254460064303	-1.514235638	1.060279208	0.4057382162
--75	30	1.89200584250194	-1.596115092	0.9215174782	0.4276777500
--75	25	1.89151912313868	-1.665880780	0.7768129655	0.4463714098
--75	20	1.89109755341406	-1.723263940	0.6272167801	0.4617471812
--75	15	1.89075178826271	-1.768066816	0.4737520756	0.4737520756
--75	10	1.89049419729881	-1.800153952	0.3174157111	0.4823497976
--75	5	1.89033369756606	-1.819436917	0.1591801043	0.4875166527
--75	-2.84217e-14	1.89027432437069	-1.825864789	-5.872429044e-16	0.4892389956
--75	-5	1.89031897404181	-1.819422746	-0.1591788644	0.4875128555
--75	-10	1.89046686617525	-1.800127926	-0.3174111222	0.4823428242
--75	-15	1.89071155292607	-1.768029192	-0.4737419941	0.4737419941
--75	-20	1.89104700142262	-1.723217875	-0.6272000136	0.4617348379
--75	-25	1.89146713451876	-1.665834993	-0.7767916147	0.4463591412
--75	-30	1.89196030210584	-1.596076674	-0.9214952973	0.4276674558
--75	-35	1.89251083859525	-1.514208624	-1.060260293	0.4057309781
--75	-40	1.89310197304710	-1.420582935	-1.192010617	0.3806440503
--75	-45	1.89371598530866	-1.315652724	-1.315652724	0.3525280850
-
--70	45	1.89085325989160	-1.294839444	1.294839444	0.4712830156
--70	40	1.88982095921866	-1.394497700	1.170122506	0.5075556547
--70	35	1.88883643562610	-1.482745263	1.038229410	0.5396751407
--70	30	1.88792674722909	-1.559360917	0.9002974455	0.5675609584
--70	25	1.88711680039368	-1.624221374	0.7573868655	0.5911682342
--70	20	1.88642418194164	-1.677269713	0.6104762503	0.6104762503
--70	15	1.88586506733261	-1.718495834	0.4604695709	0.6254813312
--70	10	1.88545283783028	-1.747914757	0.3082045317	0.6361889436
--70	5	1.88519837862044	-1.765550475	0.1544656514	0.6426078199
--70	-2.84217e-14	1.88510707343259	-1.771421206	-5.697325128e-16	0.6447445914
--70	-5	1.88518214984687	-1.765535276	-0.1544643217	0.6426022880
--70	-10	1.88542300120639	-1.747887097	-0.3081996544	0.6361788762
--70	-15	1.88582194660095	-1.718456540	-0.4604590421	0.6254670294
--70	-20	1.88637176694786	-1.677223109	-0.6104592880	0.6104592880
--70	-25	1.88706414244237	-1.624176052	-0.7573657314	0.5911517383
--70	-30	1.88788117522370	-1.559323277	-0.9002757135	0.5675472583
--70	-35	1.88880137826277	-1.482717743	-1.038210140	0.5396651242
--70	-40	1.88980172156327	-1.394483505	-1.170110595	0.5075504879
--70	-45	1.89085325951800	-1.294839443	-1.294839443	0.4712830155
-
--65	45	1.88712557147169	-1.267285844	1.267285844	0.5909450939
--65	40	1.88557250029599	-1.360252508	1.141387378	0.6342961617
--65	35	1.88411429676652	-1.441774052	1.009541060	0.6723102818
--65	30	1.88278423418739	-1.511910191	0.8729017555	0.7050153003
--65	25	1.88161472210339	-1.570804201	0.7324780284	0.7324780284
--65	20	1.88062761831793	-1.618636204	0.5891353985	0.7547824579
--65	15	1.87983895867227	-1.655593937	0.4436150583	0.7720161315
--65	10	1.87926299839136	-1.681850427	0.2965556078	0.7842597339
--65	5	1.87891051356519	-1.697543222	0.1485157878	0.7915774046
--65	-2.84217e-14	1.87878710501089	-1.702759383	-5.476491863e-16	0.7940097405
--65	-5	1.87889407922568	-1.697528374	-0.1485144888	0.7915704809
--65	-10	1.87923260587571	-1.681823227	-0.2965508117	0.7842470504
--65	-15	1.87979536323590	-1.655555542	-0.4436047704	0.7719982276
--65	-20	1.88057660448342	-1.618592297	-0.5891194176	0.7547619837
--65	-25	1.88156456107894	-1.570762326	-0.7324585017	0.7324585017
--65	-30	1.88273968139278	-1.511874414	-0.8728810998	0.7049986173
--65	-35	1.88407934614612	-1.441747307	-1.009522332	0.6722978103
--65	-40	1.88555371943724	-1.360238960	-1.141376009	0.6342898439
--65	-45	1.88712557845633	-1.267285848	-1.267285848	0.5909450961
-
--60	45	1.88250590733360	-1.232389402	1.232389402	0.7115203532
--60	40	1.88038358415888	-1.317364652	1.105400194	0.7605808365
--60	35	1.87842471321547	-1.390996868	0.9739864926	0.8030924162
--60	30	1.87666635639986	-1.453659509	0.8392707088	0.8392707088
--60	25	1.87513806153508	-1.505770174	0.7021521635	0.8693568153
--60	20	1.87386472341735	-1.547746182	0.5633335403	0.8935916746
--60	15	1.87285887697031	-1.579962520	0.4233496814	0.9121917864
--60	10	1.87213114480540	-1.602734213	0.2826052846	0.9253390293
--60	5	1.87168896887350	-1.616297495	0.1414077077	0.9331697938
--60	-2.84217e-14	1.87153572385451	-1.620797481	-5.212882279e-16	0.9357678619
--60	-5	1.87167376108237	-1.616284362	-0.1414065587	0.9331622117
--60	-10	1.87210281400824	-1.602709959	-0.2826010080	0.9253250262
--60	-15	1.87281890376407	-1.579928798	-0.4233406456	0.9121723171
--60	-20	1.87381897836109	-1.547708398	-0.5633197882	0.8935698602
--60	-25	1.87509292475397	-1.505733928	-0.7021352619	0.8693358888
--60	-30	1.87662372158445	-1.453626484	-0.8392516419	0.8392516419
--60	-35	1.87839186081117	-1.390972540	-0.9739694582	0.8030783706
--60	-40	1.88036601666027	-1.317352345	-1.105389866	0.7605737308
--60	-45	1.88250592665312	-1.232389415	-1.232389415	0.7115203605
-
--55	45	1.87697593875235	-1.189415766	1.189415766	0.8328378857
--55	40	1.87428075632608	-1.265257289	1.061676925	0.8859426917
--55	35	1.87183812934779	-1.330062240	0.9313196068	0.9313196068
--55	30	1.86968534244064	-1.384525255	0.7993560288	0.9694550205
--55	25	1.86784353339391	-1.429323234	0.6665043700	1.000822903
--55	20	1.86632670434947	-1.465075021	0.5332436985	1.025856573
--55	15	1.86514168227292	-1.492310408	0.3998633686	1.044926997
--55	10	1.86429163959620	-1.511453336	0.2665100033	1.058331020
--55	5	1.86377904145996	-1.522812769	0.1332288540	1.066284980
--55	-2.84217e-14	1.86360351618545	-1.526574630	-4.909838478e-16	1.068919064
--55	-5	1.86376633377514	-1.522802386	-0.1332279456	1.066277710
--55	-10	1.86426762235905	-1.511433865	-0.2665065699	1.058317386
--55	-15	1.86510762021840	-1.492283154	-0.3998560661	1.044907914
--55	-20	1.86628726935588	-1.465044064	-0.5332324312	1.025834897
--55	-25	1.86780264694472	-1.429291947	-0.6664897804	1.000800995
--55	-30	1.86964744930196	-1.384497195	-0.7993398281	0.9694353725
--55	-35	1.87180918321400	-1.330041672	-0.9313052049	0.9313052049
--55	-40	1.87426435732472	-1.265246219	-1.061667636	0.8859349402
--55	-45	1.87697589136528	-1.189415736	-1.189415736	0.8328378647
-
--50	45	1.87053229724102	-1.137508853	1.137508853	0.9544832593
--50	40	1.86731533188086	-1.203298892	1.009687656	1.009687656
--50	35	1.86446036940604	-1.258627911	0.8813007511	1.056114216
--50	30	1.86198984635756	-1.304478313	0.7531409053	1.094587272
--50	25	1.85991282821472	-1.341741614	0.6256643899	1.125854893
--50	20	1.85822580720421	-1.371183657	0.4990700370	1.150559701
--50	15	1.85692306951384	-1.393434301	0.3733695957	1.169230208
--50	10	1.85599703250075	-1.408980837	0.2484413369	1.182275301
--50	5	1.85544217064631	-1.418169731	0.1240737744	1.189985698
--50	-2.84217e-14	1.85525391642398	-1.421206953	-4.570950183e-16	1.192534230
--50	-5	1.85543196794199	-1.418161933	-0.1240730921	1.189979155
--50	-10	1.85597754398788	-1.408966043	-0.2484387282	1.182262887
--50	-15	1.85689585874793	-1.393413882	-0.3733641244	1.169213075
--50	-20	1.85819436696741	-1.371160458	-0.4990615930	1.150540234
--50	-25	1.85987929614875	-1.341717424	-0.6256531099	1.125834596
--50	-30	1.86195895720068	-1.304456673	-0.7531284112	1.094569113
--50	-35	1.86443571195471	-1.258611266	-0.8812890959	1.056100249
--50	-40	1.86730096024360	-1.203289631	-1.009679885	1.009679885
--50	-45	1.87053228366306	-1.137508845	-1.137508845	0.9544832524
-
--45	45	1.86320536619956	-1.075722120	1.075722120	1.075722120
--45	40	1.85957706207809	-1.130846751	0.9488930919	1.130846751
--45	35	1.85643338752921	-1.176398213	0.8237228968	1.176398213
--45	30	1.85376823715935	-1.213576181	0.7006585348	1.213576181
--45	25	1.85156541644364	-1.243405673	0.5798095874	1.243405673
--45	20	1.84980150077214	-1.266727565	0.4610511287	1.266727565
--45	15	1.84845488772368	-1.284207731	0.3441024245	1.284207731
--45	10	1.84750630098332	-1.296346846	0.2285809254	1.296346846
--45	5	1.84694170140161	-1.303493063	0.1140408660	1.303493063
--45	-2.84217e-14	1.84675172320803	-1.305850667	-4.199936068e-16	1.305850667
--45	-5	1.84693424480338	-1.303487800	-0.1140404056	1.303487800
--45	-10	1.84749188775538	-1.296336733	-0.2285791421	1.296336733
--45	-15	1.84843478550462	-1.284193765	-0.3440986823	1.284193765
--45	-20	1.84977769133916	-1.266711261	-0.4610451943	1.266711261
--45	-25	1.85153991037780	-1.243388544	-0.5798016003	1.243388544
--45	-30	1.85374458322710	-1.213560696	-0.7006495945	1.213560696
--45	-35	1.85641366891666	-1.176385718	-0.8237141474	1.176385718
--45	-40	1.85956548282136	-1.130839710	-0.9488871833	1.130839710
--45	-45	1.86320539731529	-1.075722138	-1.075722138	1.075722138
-
-
-### -y patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = 90 + dsigma = 90 + dphi
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--45	-90	1.89734414818178	-1.341624913	-1.341624913	1.643016656e-16
--40	-90	1.89735054491531	-1.219593422	-1.453454842	1.779968819e-16
--35	-90	1.89735011356767	-1.088275317	-1.554218224	1.903368374e-16
--30	-90	1.89734422124684	-0.9486721106	-1.643148295	2.012276300e-16
--25	-90	1.89733306621777	-0.8018476024	-1.719567733	2.105863120e-16
--20	-90	1.89731476580803	-0.6489198681	-1.782892685	2.183413820e-16
--15	-90	1.89729322773267	-0.4910556215	-1.832644529	2.244342256e-16
--10	-90	1.89727595872735	-0.3294585128	-1.868452074	2.288193851e-16
--5	-90	1.89726479856522	-0.1653575227	-1.890045133	2.314637723e-16
--2.84217e-14	-90	1.89725817045565	-6.102047672e-16	-1.897258170	2.323471146e-16
-5	-90	1.89725631809468	0.1653567836	-1.890036685	2.314627377e-16
-10	-90	1.89725948842281	0.3294556527	-1.868435854	2.288173988e-16
-15	-90	1.89726537491498	0.4910484126	-1.832617625	2.244309308e-16
-20	-90	1.89727221028440	0.6489053133	-1.782852696	2.183364847e-16
-25	-90	1.89728453534414	0.8018270924	-1.719523749	2.105809255e-16
-30	-90	1.89730106037143	0.9486505302	-1.643110917	2.012230525e-16
-35	-90	1.89731742311173	1.088256566	-1.554191446	1.903335579e-16
-40	-90	1.89733250656229	1.219581827	-1.453441023	1.779951897e-16
-45	-90	1.89734414593262	1.341624912	-1.341624912	1.643016654e-16
-
--45	-85	1.89694468242707	-1.338783044	-1.338783044	0.1171283393
--40	-85	1.89688218934076	-1.216563206	-1.449843572	0.1268448764
--35	-85	1.89681502332074	-1.085185166	-1.549805032	0.1355903710
--30	-85	1.89674679178056	-0.9456628970	-1.637936184	0.1433008477
--25	-85	1.89667933161317	-0.7990633358	-1.713596854	0.1499202985
--20	-85	1.89661299123967	-0.6464987204	-1.776240636	0.1554009194
--15	-85	1.89655234889630	-0.4891204415	-1.825422339	0.1597037608
--10	-85	1.89650567351612	-0.3281091531	-1.860799475	0.1627988591
--5	-85	1.89647600072908	-0.1646645515	-1.882124436	0.1646645515
--2.84217e-14	-85	1.89646272415049	-6.076278924e-16	-1.889246111	0.1652876173
-5	-85	1.89646650081936	0.1646637266	-1.882115008	0.1646637266
-10	-85	1.89648735999042	0.3281059847	-1.860781506	0.1627972871
-15	-85	1.89652236285192	0.4891127081	-1.825393477	0.1597012357
-20	-85	1.89656905984990	0.6464837455	-1.776199493	0.1553973198
-25	-85	1.89663038248058	0.7990427137	-1.713552629	0.1499164294
-30	-85	1.89670319627565	0.9456411616	-1.637898538	0.1432975540
-35	-85	1.89678217412565	1.085166373	-1.549778193	0.1355880228
-40	-85	1.89686398362341	1.216551530	-1.449829657	0.1268436590
-45	-85	1.89694467920555	1.338783042	-1.338783042	0.1171283391
-
--45	-80	1.89573937000781	-1.330190729	-1.330190729	0.2345485151
--40	-80	1.89547339430508	-1.207421854	-1.438949332	0.2537255911
--35	-80	1.89521033154640	-1.075883108	-1.536520316	0.2709299881
--30	-80	1.89496004282222	-0.9366226781	-1.622278066	0.2860513932
--25	-80	1.89472886677850	-0.7907139970	-1.695691639	0.2989961869
--20	-80	1.89452359365737	-0.6392495954	-1.756323829	0.3096872779
--15	-80	1.89435048138703	-0.4833337085	-1.803825957	0.3180631847
--10	-80	1.89421989762921	-0.3240780471	-1.837937937	0.3240780471
--5	-80	1.89413777195168	-0.1625955949	-1.858476154	0.3276994890
--2.84217e-14	-80	1.89410580709047	-5.999359114e-16	-1.865330084	0.3289080217
-5	-80	1.89412573396685	0.1625945616	-1.858464343	0.3276974064
-10	-80	1.89419712232114	0.3240741505	-1.837915838	0.3240741505
-15	-80	1.89431540655816	0.4833247593	-1.803792558	0.3180572956
-20	-80	1.89447643949640	0.6392336847	-1.756280114	0.3096795698
-25	-80	1.89467914620514	0.7906932475	-1.695647141	0.2989883408
-30	-80	1.89491549461966	0.9366006592	-1.622239928	0.2860446685
-35	-80	1.89517711234885	1.075864250	-1.536493384	0.2709252392
-40	-80	1.89545478492270	1.207410000	-1.438935205	0.2537231001
-45	-80	1.89573936611125	1.330190727	-1.330190727	0.2345485146
-
--45	-75	1.89371598946563	-1.315652727	-1.315652727	0.3525280858
--40	-75	1.89312098708235	-1.192022589	-1.420597203	0.3806478734
--35	-75	1.89254460082546	-1.060279208	-1.514235638	0.4057382163
--30	-75	1.89200584265409	-0.9215174782	-1.596115092	0.4276777500
--25	-75	1.89151912325555	-0.7768129655	-1.665880780	0.4463714098
--20	-75	1.89109755349381	-0.6272167801	-1.723263940	0.4617471812
--15	-75	1.89075178830145	-0.4737520756	-1.768066816	0.4737520756
--10	-75	1.89049419729726	-0.3174157111	-1.800153952	0.4823497976
--5	-75	1.89033369752672	-0.1591801043	-1.819436917	0.4875166527
--2.84217e-14	-75	1.89027432429369	-5.872429044e-16	-1.825864789	0.4892389956
-5	-75	1.89031897392940	0.1591788644	-1.819422746	0.4875128554
-10	-75	1.89046686602905	0.3174111221	-1.800127926	0.4823428241
-15	-75	1.89071155275009	0.4737419940	-1.768029191	0.4737419940
-20	-75	1.89104700122198	0.6272000135	-1.723217875	0.4617348379
-25	-75	1.89146713429846	0.7767916146	-1.665834993	0.4463591412
-30	-75	1.89196030187209	0.9214952972	-1.596076674	0.4276674558
-35	-75	1.89251083835676	1.060260293	-1.514208624	0.4057309780
-40	-75	1.89310197281293	1.192010617	-1.420582935	0.3806440503
-45	-75	1.89371598508834	1.315652724	-1.315652724	0.3525280850
-
--45	-70	1.89085326013058	-1.294839444	-1.294839444	0.4712830157
--40	-70	1.88982095944507	-1.170122506	-1.394497700	0.5075556547
--35	-70	1.88883643582845	-1.038229410	-1.482745263	0.5396751407
--30	-70	1.88792674739875	-0.9002974456	-1.559360918	0.5675609585
--25	-70	1.88711680052459	-0.7573868655	-1.624221375	0.5911682342
--20	-70	1.88642418203161	-0.6104762504	-1.677269713	0.6104762504
--15	-70	1.88586506737958	-0.4604695709	-1.718495834	0.6254813312
--10	-70	1.88545283783495	-0.3082045317	-1.747914757	0.6361889436
--5	-70	1.88519837858407	-0.1544656514	-1.765550475	0.6426078199
--2.84217e-14	-70	1.88510707335633	-5.697325128e-16	-1.771421206	0.6447445914
-5	-70	1.88518214973274	0.1544643217	-1.765535276	0.6426022880
-10	-70	1.88542300105609	0.3081996544	-1.747887097	0.6361788761
-15	-70	1.88582194641732	0.4604590421	-1.718456540	0.6254670294
-20	-70	1.88637176673494	0.6104592880	-1.677223109	0.6104592880
-25	-70	1.88706414220576	0.7573657313	-1.624176052	0.5911517382
-30	-70	1.88788117497008	0.9002757134	-1.559323276	0.5675472582
-35	-70	1.88880137800199	1.038210140	-1.482717742	0.5396651241
-40	-70	1.88980172130736	1.170110594	-1.394483505	0.5075504879
-45	-70	1.89085325927901	1.294839443	-1.294839443	0.4712830155
-
--45	-65	1.88712557173816	-1.267285844	-1.267285844	0.5909450940
--40	-65	1.88557250055237	-1.141387378	-1.360252509	0.6342961617
--35	-65	1.88411429699745	-1.009541060	-1.441774052	0.6723102819
--30	-65	1.88278423438106	-0.8729017556	-1.511910191	0.7050153003
--25	-65	1.88161472225324	-0.7324780285	-1.570804201	0.7324780285
--20	-65	1.88062761842124	-0.5891353985	-1.618636205	0.7547824579
--15	-65	1.87983895872890	-0.4436150583	-1.655593937	0.7720161315
--10	-65	1.87926299840271	-0.2965556078	-1.681850427	0.7842597339
--5	-65	1.87891051353262	-0.1485157878	-1.697543222	0.7915774046
--2.84217e-14	-65	1.87878710493572	-5.476491863e-16	-1.702759383	0.7940097405
-5	-65	1.87889407911004	0.1485144888	-1.697528374	0.7915704808
-10	-65	1.87923260572060	0.2965508117	-1.681823227	0.7842470504
-15	-65	1.87979536304301	0.4436047704	-1.655555542	0.7719982275
-20	-65	1.88057660425636	0.5891194176	-1.618592297	0.7547619836
-25	-65	1.88156456082135	0.7324585016	-1.570762326	0.7324585016
-30	-65	1.88273968111208	0.8728810997	-1.511874414	0.7049986172
-35	-65	1.88407934585422	1.009522332	-1.441747307	0.6722978102
-40	-65	1.88555371914983	1.141376009	-1.360238960	0.6342898438
-45	-65	1.88712557818985	1.267285848	-1.267285848	0.5909450960
-
--45	-60	1.88250590764021	-1.232389403	-1.232389403	0.7115203533
--40	-60	1.88038358445924	-1.105400194	-1.317364652	0.7605808366
--35	-60	1.87842471348640	-0.9739864927	-1.390996868	0.8030924163
--30	-60	1.87666635662495	-0.8392707089	-1.453659509	0.8392707089
--25	-60	1.87513806170802	-0.7021521636	-1.505770174	0.8693568154
--20	-60	1.87386472353700	-0.5633335404	-1.547746182	0.8935916747
--15	-60	1.87285887703840	-0.4233496814	-1.579962520	0.9121917864
--10	-60	1.87213114482398	-0.2826052846	-1.602734213	0.9253390293
--5	-60	1.87168896884466	-0.1414077077	-1.616297495	0.9331697938
--2.84217e-14	-60	1.87153572378029	-5.212882279e-16	-1.620797481	0.9357678619
-5	-60	1.87167376096483	0.1414065587	-1.616284362	0.9331622116
-10	-60	1.87210281384786	0.2826010080	-1.602709959	0.9253250261
-15	-60	1.87281890356107	0.4233406456	-1.579928798	0.9121723170
-20	-60	1.87381897811708	0.5633197881	-1.547708398	0.8935698600
-25	-60	1.87509292447104	0.7021352618	-1.505733928	0.8693358887
-30	-60	1.87662372126886	0.8392516418	-1.453626484	0.8392516418
-35	-60	1.87839186047621	0.9739694580	-1.390972540	0.8030783705
-40	-60	1.88036601632730	1.105389866	-1.317352344	0.7605737306
-45	-60	1.88250592634647	1.232389415	-1.232389415	0.7115203604
-
--45	-55	1.87697593911951	-1.189415767	-1.189415767	0.8328378859
--40	-55	1.87428075669109	-1.061676925	-1.265257289	0.8859426919
--35	-55	1.87183812967256	-0.9313196070	-1.330062240	0.9313196070
--30	-55	1.86968534270490	-0.7993560289	-1.384525255	0.9694550206
--25	-55	1.86784353359309	-0.6665043700	-1.429323234	1.000822903
--20	-55	1.86632670448663	-0.5332436985	-1.465075021	1.025856574
--15	-55	1.86514168235253	-0.3998633686	-1.492310408	1.044926997
--10	-55	1.86429163962171	-0.2665100033	-1.511453336	1.058331020
--5	-55	1.86377904143493	-0.1332288539	-1.522812769	1.066284980
--2.84217e-14	-55	1.86360351611287	-4.909838478e-16	-1.526574630	1.068919064
-5	-55	1.86376633365681	0.1332279456	-1.522802386	1.066277710
-10	-55	1.86426762219476	0.2665065699	-1.511433865	1.058317385
-15	-55	1.86510762000696	0.3998560661	-1.492283154	1.044907914
-20	-55	1.86628726909573	0.5332324311	-1.465044064	1.025834897
-25	-55	1.86780264663507	0.6664897803	-1.429291946	1.000800995
-30	-55	1.86964744894521	0.7993398280	-1.384497195	0.9694353723
-35	-55	1.87180918282144	0.9313052047	-1.330041672	0.9313052047
-40	-55	1.87426435692446	1.061667635	-1.265246219	0.8859349400
-45	-55	1.87697589099788	1.189415736	-1.189415736	0.8328378645
-
--45	-50	1.87053229770867	-1.137508854	-1.137508854	0.9544832595
--40	-50	1.86731533234213	-1.009687656	-1.203298892	1.009687656
--35	-50	1.86446036979570	-0.8813007512	-1.258627911	1.056114216
--30	-50	1.86198984665991	-0.7531409054	-1.304478313	1.094587272
--25	-50	1.85991282843579	-0.6256643899	-1.341741614	1.125854894
--20	-50	1.85822580735457	-0.4990700371	-1.371183658	1.150559701
--15	-50	1.85692306960191	-0.3733695957	-1.393434301	1.169230208
--10	-50	1.85599703253249	-0.2484413369	-1.408980837	1.182275301
--5	-50	1.85544217062644	-0.1240737744	-1.418169731	1.189985698
--2.84217e-14	-50	1.85525391635568	-4.570950183e-16	-1.421206953	1.192534230
-5	-50	1.85543196782665	0.1240730921	-1.418161933	1.189979155
-10	-50	1.85597754382468	0.2484387282	-1.408966042	1.182262887
-15	-50	1.85689585853422	0.3733641244	-1.393413882	1.169213074
-20	-50	1.85819436669889	0.4990615929	-1.371160458	1.150540234
-25	-50	1.85987929581965	0.6256531098	-1.341717424	1.125834595
-30	-50	1.86195895680549	0.7531284110	-1.304456673	1.094569113
-35	-50	1.86443571149406	0.8812890957	-1.258611265	1.056100249
-40	-50	1.86730095974324	1.009679885	-1.203289630	1.009679885
-45	-50	1.87053228319466	1.137508845	-1.137508845	0.9544832521
-
--45	-45	1.86320536686179	-1.075722120	-1.075722120	1.075722120
--40	-45	1.85957706266087	-0.9488930922	-1.130846752	1.130846752
--35	-45	1.85643338797013	-0.8237228970	-1.176398213	1.176398213
--30	-45	1.85376823748092	-0.7006585350	-1.213576181	1.213576181
--25	-45	1.85156541667224	-0.5798095874	-1.243405673	1.243405673
--20	-45	1.84980150092587	-0.4610511287	-1.266727565	1.266727565
--15	-45	1.84845488781456	-0.3441024245	-1.284207731	1.284207731
--10	-45	1.84750630101904	-0.2285809254	-1.296346846	1.296346846
--5	-45	1.84694170138697	-0.1140408660	-1.303493063	1.303493063
--2.84217e-14	-45	1.84675172314600	-4.199936068e-16	-1.305850667	1.305850667
-5	-45	1.84693424469494	0.1140404056	-1.303487800	1.303487800
-10	-45	1.84749188759955	0.2285791421	-1.296336733	1.296336733
-15	-45	1.84843478529821	0.3440986823	-1.284193765	1.284193765
-20	-45	1.84977769107615	0.4610451943	-1.266711261	1.266711261
-25	-45	1.85153991004829	0.5798016002	-1.243388544	1.243388544
-30	-45	1.85374458281638	0.7006495943	-1.213560696	1.213560696
-35	-45	1.85641366840446	0.8237141471	-1.176385717	1.176385717
-40	-45	1.85956548219623	0.9488871830	-1.130839709	1.130839709
-45	-45	1.86320539665253	1.075722137	-1.075722137	1.075722137
-
-
diff --git a/test/checkpoint2/h.t1.ah1.gp b/test/checkpoint2/h.t1.ah1.gp
deleted file mode 100644
index 48d839e..0000000
--- a/test/checkpoint2/h.t1.ah1.gp
+++ /dev/null
@@ -1,1228 +0,0 @@
-# N_patches = 5
-# origin = 0.4 0.6 0
-
-### +z patch
-# N_rho = 19
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = dsigma = dnu
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--45	-45	2.36775793592322	-0.9670256817	-0.7670256817	1.367025682
--40	-45	2.35122797204295	-0.7997695744	-0.8298297005	1.429829701
--35	-45	2.33199782560534	-0.6347368330	-0.8777573456	1.477757346
--30	-45	2.31071128970180	-0.4733667749	-0.9127156277	1.512715628
--25	-45	2.28782508084375	-0.3164223874	-0.9363727678	1.536372768
--20	-45	2.26364799583473	-0.1641997063	-0.9501259530	1.550125953
--15	-45	2.23837346716709	-0.01668841476	-0.9551023348	1.555102335
--10	-45	2.21210446697469	0.1263095201	-0.9521758428	1.552175843
--5	-45	2.18487289179305	0.2650933073	-0.9419905540	1.541990554
-0	-45	2.15665707986619	0.4000000000	-0.9249868459	1.524986846
-5	-45	2.12739119515070	0.5313574402	-0.9014224123	1.501422412
-10	-45	2.09697104996168	0.6594457095	-0.8713897356	1.471389736
-15	-45	2.06526442148301	0.7844629909	-0.8348354155	1.434835416
-20	-45	2.03211347522036	0.9064912159	-0.7915731789	1.391573179
-25	-45	1.99734180468948	1.025458824	-0.7413007762	1.341300776
-30	-45	1.96076231034354	1.141098493	-0.6836202439	1.283620244
-35	-45	1.92218874917456	1.252899380	-0.6180665490	1.218066549
-40	-45	1.88144894630104	1.360053737	-0.5441474903	1.144147490
-45	-45	1.83841459310430	1.461409160	-0.4614091602	1.061409160
-
--45	-40	2.32680965324502	-1.014980423	-0.5873095508	1.414980423
--40	-40	2.30879455187096	-0.8484026237	-0.6484026237	1.487788312
--35	-40	2.28800273962857	-0.6815024905	-0.6960276651	1.544545626
--30	-40	2.26506127637000	-0.5161759413	-0.7315363922	1.586863279
--25	-40	2.24043824069451	-0.3536710343	-0.7561970854	1.616252749
--20	-40	2.21446840109437	-0.1947473244	-0.7711348170	1.634054844
--15	-40	2.18737854477552	-0.03981393537	-0.7773048077	1.641407953
--10	-40	2.15930871616508	0.1109577576	-0.7754856917	1.639240015
--5	-40	2.13033004199611	0.2575444208	-0.7662847176	1.628274721
-0	-40	2.10046338013991	0.4000000000	-0.7501518354	1.609048300
-5	-40	2.06968808041094	0.5384004395	-0.7273920654	1.581924263
-10	-40	2.03795013487237	0.6727973414	-0.6981799360	1.547110603
-15	-40	2.00517363898685	0.8031781839	-0.6625776640	1.504681467
-20	-40	1.97126579566375	0.9294295719	-0.6205507943	1.454595794
-25	-40	1.93612695907194	1.051302402	-0.5719893417	1.396722508
-30	-40	1.89965845679979	1.168377171	-0.5167310988	1.330868299
-35	-40	1.86177493718052	1.280031390	-0.4545930663	1.256815075
-40	-40	1.82242010841679	1.385412081	-0.3854120814	1.174368388
-45	-40	1.78158447421116	1.483417867	-0.3090955329	1.083417867
-
--45	-35	2.28514384784829	-1.048066576	-0.4139471325	1.448066576
--40	-35	2.26519645147714	-0.8831091577	-0.4707223209	1.529149948
--35	-35	2.24250525966480	-0.7157423732	-0.5157423732	1.593445246
--30	-35	2.21767744466684	-0.5481348519	-0.5498932381	1.642217736
--25	-35	2.19118615253415	-0.3818830218	-0.5740754763	1.676753551
--20	-35	2.16338688095115	-0.2181192280	-0.5891404906	1.698268621
--15	-35	2.13453620346165	-0.05761823072	-0.5958525863	1.707854488
--10	-35	2.10480933155079	0.09910676529	-0.5948693858	1.706450332
--5	-35	2.07431636692778	0.2517212684	-0.5867353033	1.694833658
-0	-35	2.04312045801604	0.4000000000	-0.5718857513	1.673626300
-5	-35	2.01124556272950	0.5437702299	-0.5506519212	1.643301248
-10	-35	1.97868616441457	0.6828632844	-0.5232711137	1.604197402
-15	-35	1.94541888352042	0.8170738102	-0.4899014969	1.556540650
-20	-35	1.91140954163251	0.9461246902	-0.4506370821	1.500465255
-25	-35	1.87662059706321	1.069636298	-0.4055258056	1.436039675
-30	-35	1.84102332276428	1.187102011	-0.3545934081	1.363300673
-35	-35	1.80460360316914	1.297867552	-0.2978675516	1.282287754
-40	-35	1.76737945490010	1.401123219	-0.2354121474	1.193092193
-45	-35	1.72940720067913	1.495903335	-0.1673597763	1.095903335
-
--45	-30	2.24328806858073	-1.068576769	-0.2478831926	1.468576769
--40	-30	2.22105179193011	-0.9056650258	-0.2983749082	1.556030985
--35	-30	2.19618880488815	-0.7387511121	-0.3389477051	1.626305131
--30	-30	2.16928965351873	-0.5701358256	-0.3701358256	1.680324540
--25	-30	2.14083176032025	-0.4016421207	-0.3925384799	1.719127076
--20	-30	2.11119017406915	-0.2346798786	-0.4067652908	1.743768635
--15	-30	2.08065003174501	-0.07031975489	-0.4133982291	1.755257221
--10	-30	2.04942027852125	0.09063224936	-0.4129678022	1.754511700
--5	-30	2.01764899383682	0.2475648872	-0.4059412258	1.742341312
-0	-30	1.98543872251713	0.4000000000	-0.3927193613	1.719440371
-5	-30	1.95285407000280	0.5475398007	-0.3736363574	1.686387639
-10	-30	1.91993184764589	0.6898209817	-0.3489655023	1.643656465
-15	-30	1.88669262171507	0.8264767250	-0.3189296290	1.591632806
-20	-30	1.85314700557229	0.9571052437	-0.2837119966	1.530634077
-25	-30	1.81930285008270	1.081244469	-0.2434703365	1.460933478
-30	-30	1.78517630758952	1.198355115	-0.1983551151	1.382791622
-35	-30	1.75079482145744	1.307808812	-0.1485261632	1.296485345
-40	-30	1.71621267900245	1.408890869	-0.09417670203	1.202349317
-45	-30	1.68150846578175	1.500805689	-0.03555046113	1.100805689
-
--45	-25	2.20155395711962	-1.078438004	-0.08940696349	1.478438004
--40	-25	2.17677229335219	-0.9176583876	-0.1322541617	1.570324117
--35	-25	2.14954752024810	-0.7517647762	-0.1670250693	1.644890569
--30	-25	2.12045903242046	-0.5830932181	-0.1940134798	1.702767402
--25	-25	2.08999070280507	-0.4135949679	-0.2135949679	1.744760039
--20	-25	2.05853747183408	-0.2448683844	-0.2261858741	1.771761325
--15	-25	2.02641152236918	-0.07820408315	-0.2322108535	1.784681935
--10	-25	1.99385351784023	0.08536152614	-0.2320809970	1.784403457
--5	-25	1.96104618271300	0.2449919160	-0.2261808300	1.771750507
-0	-25	1.92812670146996	0.4000000000	-0.2148615550	1.747476244
-5	-25	1.89519397615466	0.5498028907	-0.1984375615	1.712254876
-10	-25	1.86231784556797	0.6938815914	-0.1771881314	1.666685326
-15	-25	1.82955057045620	0.8317477193	-0.1513635927	1.611304424
-20	-25	1.79693232883486	0.9629165675	-0.1211916844	1.546600558
-25	-25	1.76449664538024	1.086886114	-0.08688611372	1.473032024
-30	-25	1.73228096394330	1.203125003	-0.04865881166	1.391053311
-35	-25	1.70032811246166	1.311065240	-0.006729684289	1.301136007
-40	-25	1.66869812770154	1.410107530	0.03865917794	1.203799278
-45	-25	1.63746397825961	1.499627365	0.08723533874	1.099627365
-
--45	-20	2.16009721836782	-1.079215304	0.06160965912	1.479215304
--40	-20	2.13261210299202	-0.9204517635	0.02723710052	1.573653133
--35	-20	2.10292250484963	-0.7559052711	-0.0008434490464	1.650803809
--30	-20	2.07160295794203	-0.5878872969	-0.02277890922	1.711070990
--25	-20	2.03914627943542	-0.4184032957	-0.03879379642	1.755071531
--20	-20	2.00596607951710	-0.2491618705	-0.04916187050	1.783557581
--15	-20	1.97239914950786	-0.08159850123	-0.05418192801	1.797350075
--10	-20	1.93871389483192	0.08308917836	-0.05416027388	1.797290581
--5	-20	1.90512189851418	0.2439018947	-0.04939915277	1.784209508
-0	-20	1.87178782432007	0.4000000000	-0.04018913995	1.758905206
-5	-20	1.83883582561375	0.5506668884	-0.02680421036	1.722130414
-10	-20	1.80635800028770	0.6952753367	-0.009500786754	1.674589649
-15	-20	1.77442498564919	0.8332593704	0.01147979175	1.616945983
-20	-20	1.74309088539663	0.9640913628	0.03590863715	1.549828282
-25	-20	1.71239793072330	1.087264138	0.06356512714	1.473842700
-30	-20	1.68238552714539	1.202280806	0.09423019528	1.389591118
-35	-20	1.65309068306652	1.308647955	0.1276817356	1.297683766
-40	-20	1.62456068724476	1.405881014	0.1636862005	1.198762312
-45	-20	1.59684432344578	1.493504747	0.2019968211	1.093504747
-
--45	-15	2.11896610794042	-1.072144479	0.2055400757	1.472144479
--40	-15	2.08870840959564	-0.9151761689	0.1800255664	1.567365924
--35	-15	2.05653548607451	-0.7521534636	0.1591041609	1.645445672
--30	-15	2.02302155310825	-0.5853297902	0.1427068529	1.706641259
--25	-15	1.98866816791364	-0.4167103351	0.1307028077	1.751440966
--20	-15	1.95390444279468	-0.2480478233	0.1229173307	1.780496761
--15	-15	1.91908654788846	-0.08085171248	0.1191482875	1.794563022
--10	-15	1.88450374144704	0.08359009195	0.1191786362	1.794449759
--5	-15	1.85038794730818	0.2441836239	0.1227853477	1.780989328
-0	-15	1.81692190068477	0.4000000000	0.1297460086	1.755011788
-5	-15	1.78424440936941	0.5502466001	0.1398437519	1.717326497
-10	-15	1.75245811829375	0.6942393267	0.1528693927	1.668714144
-15	-15	1.72163976103152	0.8313788913	0.1686211087	1.609927940
-20	-15	1.69184377933835	0.9611306544	0.1869043907	1.541693802
-25	-15	1.66310743879591	1.083008385	0.2075304748	1.464716208
-30	-15	1.63545911041597	1.196564218	0.2303132597	1.379689698
-35	-15	1.60891862512857	1.301380588	0.2550676941	1.287304891
-40	-15	1.58350815676641	1.397071770	0.2816056572	1.188263864
-45	-15	1.55924503547581	1.483280172	0.3097359527	1.083280172
-
--45	-10	2.07813280280393	-1.058171430	0.3428850343	1.458171430
--40	-10	2.04511330305636	-0.9027428942	0.3262438063	1.552548524
--35	-10	2.01051813143266	-0.7413416545	0.3125861735	1.630004809
--30	-10	1.97492236952573	-0.5761456901	0.3018779908	1.690733931
--25	-10	1.93883302158212	-0.4091196767	0.2940439919	1.735162746
--20	-10	1.90268793817531	-0.2420044061	0.2889781419	1.763892609
--15	-10	1.86685398992585	-0.07631812116	0.2865535014	1.777643429
--10	-10	1.83163114725783	0.08663012886	0.2866301289	1.777208853
--5	-10	1.79726047378776	0.2457204960	0.2890609819	1.763422800
-0	-10	1.76393151165929	0.4000000000	0.2936965075	1.737133428
-5	-10	1.73178638831252	0.5486591114	0.3003884707	1.699181419
-10	-10	1.70092717945450	0.6910080077	0.3089919923	1.650388424
-15	-10	1.67142631016682	0.8264557614	0.3193659883	1.591554569
-20	-10	1.64332851997739	0.9544914273	0.3313741894	1.523452676
-25	-10	1.61665766498697	1.074668480	0.3448846187	1.446831224
-30	-10	1.59142381765582	1.186593703	0.3597685492	1.362420259
-35	-10	1.56762444527237	1.289917405	0.3759000860	1.270933768
-40	-10	1.54525278507706	1.384330346	0.3931544819	1.173079226
-45	-10	1.52429668377380	1.469559112	0.4114078711	1.069559112
-
--45	-5	2.03751837390193	-1.037993990	0.4741918277	1.437993990
--40	-5	2.00182003713875	-0.8838649741	0.4661379095	1.530050695
--35	-5	1.96493771036857	-0.7241587767	0.4595400026	1.605465116
--30	-5	1.92744432203918	-0.5609677946	0.4543799275	1.664445045
--25	-5	1.88984551713711	-0.3961842774	0.4506198705	1.707422693
--20	-5	1.85257668369381	-0.2314880585	0.4482072404	1.734999181
--15	-5	1.81600306023920	-0.06834679734	0.4470790862	1.747894043
--10	-5	1.78042208189747	0.09197414511	0.4471659285	1.746901431
--5	-5	1.74607050545566	0.2483946454	0.4483946454	1.732857133
-0	-5	1.71313218783648	0.4000000000	0.4506906917	1.706613203
-5	-5	1.68174131016447	0.5460198697	0.4539801303	1.669014748
-10	-5	1.65199072227185	0.6858063038	0.4581906669	1.620888095
-15	-5	1.62393991018471	0.8188137524	0.4632522266	1.563034203
-20	-5	1.59761799000261	0.9445802549	0.4690975410	1.496221954
-25	-5	1.57303266665782	1.062712304	0.4756618881	1.421191122
-30	-5	1.55017330798704	1.172871417	0.4828830764	1.338652563
-35	-5	1.52901608479435	1.274764041	0.4907010670	1.249292521
-40	-5	1.50952899766109	1.368134683	0.4990575059	1.153777987
-45	-5	1.49167526463863	1.452761090	0.5078953392	1.052761090
-
--45	0	1.99701169497806	-1.012100512	0.6000000000	1.412100512
--40	0	1.95878413283172	-0.8590821706	0.6000000000	1.500515700
--35	0	1.91981891875166	-0.7011628939	0.6000000000	1.572623592
--30	0	1.88067877800853	-0.5403393890	0.6000000000	1.628715598
--25	0	1.84185601812030	-0.3784019888	0.6000000000	1.669288452
--20	0	1.80377013283448	-0.2169257194	0.6000000000	1.694989483
--15	0	1.76676863783460	-0.05727337176	0.6000000000	1.706567456
--10	0	1.73113074072706	0.09939230157	0.6000000000	1.704830975
--5	0	1.69707411702388	0.2520902448	0.6000000000	1.690616238
-0	0	1.66476419934884	0.4000000000	0.6000000000	1.664764199
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-10	0	1.60580837669162	0.6788456983	0.6000000000	1.581412539
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-25	0	1.53218871436421	1.047530931	0.6000000000	1.388634563
-30	0	1.51159145316688	1.155795727	0.6000000000	1.309076599
-35	0	1.49291102021652	1.256298583	0.6000000000	1.222921114
-40	0	1.47609776324870	1.348817353	0.6000000000	1.130756489
-45	0	1.46109927395056	1.433153205	0.6000000000	1.033153205
-
--45	5	1.95647992459071	-0.9808004915	0.7208043896	1.380800492
--40	5	1.91593606613514	-0.8287833883	0.7281190128	1.464407017
--35	5	1.87515689311407	-0.6727943527	0.7340421790	1.532109116
--30	5	1.83468220669208	-0.5147192963	0.7386118151	1.584340296
--25	5	1.79497417074902	-0.3562153626	0.7418811599	1.621709079
--20	5	1.75641895914273	-0.1987107622	0.7439139784	1.644944300
--15	5	1.71932892622797	-0.04341455904	0.7447802354	1.654845663
--10	5	1.68394812469121	0.1086648352	0.7445526040	1.652243824
--5	5	1.65046042943702	0.2566961426	0.7433038574	1.637970585
-0	5	1.61900037725883	0.4000000000	0.7411051804	1.612839592
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-25	5	1.49406900883592	1.029445234	0.7180965428	1.349849661
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-45	5	1.43233483417918	1.410881133	0.6884406393	1.010881133
-
--45	10	1.91578027246155	-0.9442529064	0.8370280563	1.344252906
--40	10	1.87319684584693	-0.7932316301	0.8507436814	1.422038082
--35	10	1.83093361247721	-0.6393941571	0.8617413031	1.484408694
--30	10	1.78949151562074	-0.4844927058	0.8701305197	1.531986305
--25	10	1.74928286776229	-0.3300160316	0.8760441963	1.565524432
--20	10	1.71063926988439	-0.1772034008	0.8796287260	1.585853310
--15	10	1.67381927791501	-0.02706631473	0.8810357932	1.593833185
--10	10	1.63901518237100	0.1195843840	0.8804156160	1.590315985
--5	10	1.60636330753849	0.2621073918	0.8779124322	1.576119724
-0	10	1.57595638619072	0.4000000000	0.8736619545	1.552014068
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-45	10	1.40519030220944	1.385985280	0.7738558074	0.9859852797
-
--45	15	1.87476456945180	-0.9024862928	0.9490001503	1.302486293
--40	15	1.83048397512419	-0.7525825676	0.9680535144	1.373594416
--35	15	1.78712819942193	-0.6012207223	0.9831382402	1.429891379
--30	15	1.74513605540704	-0.4499833038	0.9944786241	1.472214268
--25	15	1.70484930672562	-0.3001510212	1.002320008	1.501478710
--20	15	1.66652238431211	-0.1527323548	1.006912913	1.518619664
--15	15	1.63034144580301	-0.008502929169	1.008502929	1.524553687
--10	15	1.59643196596422	0.1319576075	1.007321343	1.520143948
--5	15	1.56487124951548	0.2682262455	1.003579958	1.506180906
-0	15	1.53570215117665	0.4000000000	0.9974689643	1.483374369
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-45	15	1.37951937415863	1.358416382	0.8568068955	0.9584163819
-
--45	20	1.83328961519510	-0.8554203733	1.056935647	1.255420373
--40	20	1.78772291332924	-0.7069063475	1.080134835	1.319159616
--35	20	1.74372601703014	-0.5584671284	1.098214438	1.368832919
--30	20	1.70164719291991	-0.4114661351	1.111560373	1.405500575
--25	20	1.66173247963252	-0.2669297596	1.120563144	1.430235485
--20	20	1.62414158197243	-0.1255975154	1.125597515	1.444067305
--15	20	1.58896975625650	0.01202302622	1.127010620	1.447949778
--10	20	1.55626390584497	0.1456061596	1.125114111	1.442739162
--5	20	1.52603459861707	0.2749627991	1.120179615	1.429181746
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-45	20	1.35522042753445	1.328042859	0.9377799766	0.9280428585
-
--45	25	1.79122426396675	-0.8028839981	1.160914020	1.202883998
--40	25	1.74485652479820	-0.6562082410	1.186960086	1.258739966
--35	25	1.70072947010281	-0.5112802946	1.206872901	1.301443136
--30	25	1.65906838022124	-0.3691819781	1.221244097	1.332262266
--25	25	1.61999808767620	-0.2306354810	1.230635481	1.352402153
--20	25	1.58356587093480	-0.09607625739	1.235557900	1.362958316
--15	25	1.54976465805210	0.03427774703	1.236460539	1.364894030
--10	25	1.51855546802639	0.1603655581	1.233728173	1.359034454
--5	25	1.48987860460856	0.2822346817	1.227679834	1.346063748
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-20	25	1.38234413983054	0.8330404689	1.154798354	1.189768910
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-45	25	1.33223980802067	1.294656230	1.017185051	0.8946562298
-
--45	30	1.74846032447914	-0.7446359695	1.260855885	1.144635970
--40	30	1.70185660946818	-0.6004515257	1.288369934	1.192291700
--35	30	1.65816461099777	-0.4597788999	1.308923501	1.227891522
--30	30	1.61745703138601	-0.3233487746	1.323348775	1.252876829
--25	30	1.57971367991464	-0.1915294457	1.332391327	1.268538990
--20	30	1.54485602704829	-0.06442478166	1.336696981	1.275996601
--15	30	1.51276995475505	0.05804648380	1.336807425	1.276187896
--10	30	1.48332820350080	0.1760859914	1.333165240	1.269879446
--5	30	1.45640253481114	0.2899675388	1.326120032	1.257676787
-0	30	1.43187475459460	0.4000000000	1.315937377	1.240039913
-5	30	1.40964350855163	0.5064997767	1.302807338	1.217298018
-10	30	1.38963008965833	0.6097699235	1.286853035	1.189664353
-15	30	1.37177881242809	0.7100832264	1.268136495	1.157246355
-20	30	1.35606345580803	0.8076687169	1.246667286	1.120060594
-25	30	1.34248481213944	0.9026982464	1.222406608	1.078039868
-30	30	1.33107480153907	0.9952747479	1.195274748	1.031046108
-35	30	1.32189130648352	1.085417024	1.165154875	0.9788769569
-40	30	1.31502131987488	1.173046964	1.131902120	0.9212814971
-45	30	1.31057655431821	1.257973752	1.095351377	0.8579737520
-
--45	35	1.70492527279517	-0.6803894489	1.356496836	1.080389449
--40	35	1.65873445288713	-0.5395818033	1.384057384	1.119749990
--35	35	1.61609606002977	-0.4040769784	1.404076978	1.148340934
--30	35	1.57689920238278	-0.2741796898	1.417641778	1.167713476
--25	35	1.54096408651699	-0.1498636686	1.425675236	1.179186443
--20	35	1.50807974561010	-0.03088598543	1.428940355	1.183849515
--15	35	1.47802690351120	0.08312926459	1.428049809	1.182577684
--10	35	1.45059522972773	0.1926300096	1.423481636	1.176053657
--5	35	1.42559464668599	0.2980939603	1.415595693	1.164791364
-0	35	1.40286147189877	0.4000000000	1.404648284	1.149156843
-5	35	1.38226289477954	0.4988085482	1.390805203	1.129386874
-10	35	1.36370054719381	0.5949479521	1.374152799	1.105604777
-15	35	1.34711061204743	0.6888038975	1.354705264	1.077830819
-20	35	1.33246728909151	0.7807102924	1.332412136	1.045992932
-25	35	1.31978227191065	0.8709391530	1.307162191	1.009932273
-30	35	1.30910847284185	0.9596897651	1.278788967	0.9694111096
-35	35	1.30053868839293	1.047073676	1.247073676	0.9241169811
-40	35	1.29420717882079	1.133097159	1.211751141	0.8736711729
-45	35	1.29028868688062	1.217639521	1.172517356	0.8176395210
-
--45	40	1.66060204329058	-0.6098459828	1.447361392	1.009845983
--40	40	1.61555518870333	-0.4735568675	1.473556867	1.041064535
--35	40	1.57462907866422	-0.3443021115	1.491940736	1.062973577
--30	40	1.53750704747587	-0.2218935361	1.503837176	1.077151201
--25	40	1.50384539292931	-0.1058852737	1.510317768	1.084874471
--20	40	1.47330392723317	0.004309743910	1.512227201	1.087150044
--15	40	1.44556800240356	0.1093411410	1.510216370	1.084753629
--10	40	1.42035627868894	0.2098729650	1.504770922	1.078263997
--5	40	1.39742821793888	0.3065537066	1.496238977	1.068096021
-0	40	1.37658410887557	0.4000000000	1.484851209	1.054524607
-5	40	1.35766690595946	0.4907874468	1.470738106	1.037705266
-10	40	1.34056283482182	0.5794459889	1.453942275	1.017688774
-15	40	1.32520039344737	0.6664566687	1.434425700	0.9944298255
-20	40	1.31155289225895	0.7522482295	1.412075636	0.9677940565
-25	40	1.29963940286952	0.8371915080	1.386706430	0.9375602144
-30	40	1.28952791658107	0.9215905041	1.358060441	0.9034212538
-35	40	1.28134045022518	1.005669243	1.325808865	0.8649853226
-40	40	1.27525312221555	1.089550026	1.289550026	0.8217737210
-45	40	1.27150252871340	1.173226629	1.248814180	0.7732266294
-
--45	45	1.61554932762340	-0.5327378392	1.532737839	0.9327378392
--40	45	1.57245145800719	-0.4023804748	1.556239813	0.9562398134
--35	45	1.53392228377873	-0.2806206544	1.572027031	0.9720270309
--30	45	1.49943100835332	-0.1667316509	1.581608014	0.9816080136
--25	45	1.46847676837727	-0.05984705783	1.586145198	0.9861451979
--20	45	1.44060750246158	0.04093784403	1.586515166	0.9865151657
--15	45	1.41543049619578	0.1365080053	1.583365511	0.9833655115
--10	45	1.39261158692875	0.2277004820	1.577159124	0.9771591242
--5	45	1.37187439159914	0.3152925382	1.568210719	0.9682107189
-0	45	1.35299577588952	0.4000000000	1.556712488	0.9567124880
-5	45	1.33580275105029	0.4824801900	1.542752886	0.9427528860
-10	45	1.32017083545284	0.5633368563	1.526329344	0.9263293437
-15	45	1.30602201220452	0.6431248627	1.507354340	0.9073543402
-20	45	1.29332642050517	0.7223532934	1.485658395	0.8856583947
-25	45	1.28210395414165	0.8014852287	1.460987851	0.8609878514
-30	45	1.27242891018511	0.8809329225	1.433000257	0.8330002568
-35	45	1.26443880527954	0.9610474378	1.401258780	0.8012587799
-40	45	1.25834134262564	1.042098374	1.365223044	0.7652230436
-45	45	1.25442439687555	1.124242263	1.324242263	0.7242422632
-
-
-### +x patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = drho = dnu
-# dpy = dsigma = dphi
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-45	1.83841466531958	1.461409202	-0.4614092019	1.061409202
-45	-40	1.78158458532596	1.483417935	-0.3090955896	1.083417935
-45	-35	1.72940730140844	1.495903399	-0.1673598210	1.095903399
-45	-30	1.68150852178759	1.500805726	-0.03555048230	1.100805726
-45	-25	1.63746404447636	1.499627409	0.08723531800	1.099627409
-45	-20	1.59684435226733	1.493504767	0.2019968139	1.093504767
-45	-15	1.55924506488038	1.483280193	0.3097359472	1.083280193
-45	-10	1.52429669684050	1.469559121	0.4114078694	1.069559121
-45	-5	1.49167527424684	1.452761097	0.5078953386	1.052761097
-45	0	1.46109927899505	1.433153208	0.6000000000	1.033153208
-45	5	1.43233483608177	1.410881134	0.6884406394	1.010881134
-45	10	1.40519030562931	1.385985282	0.7738558078	0.9859852821
-45	15	1.37951937198134	1.358416380	0.8568068951	0.9584163804
-45	20	1.35522043739073	1.328042865	0.9377799791	0.9280428653
-45	25	1.33223982556793	1.294656242	1.017185057	0.8946562416
-45	30	1.31057658534811	1.257973772	1.095351388	0.8579737723
-45	35	1.29028870082501	1.217639530	1.172517362	0.8176395298
-45	40	1.27150256340037	1.173226651	1.248814197	0.7732266505
-45	45	1.25442439737933	1.124242264	1.324242264	0.7242422635
-
-50	-45	1.85249794528413	1.526541796	-0.5265417960	0.9452808055
-50	-40	1.79303072458746	1.555429855	-0.3695207654	0.9695207654
-50	-35	1.73774686640160	1.573088334	-0.2214052943	0.9843379883
-50	-30	1.68649016708041	1.581526233	-0.08215448849	0.9914182261
-50	-25	1.63900887420439	1.582381442	0.04864647863	0.9921358321
-50	-20	1.59500620690589	1.576954080	0.1716237480	0.9875817340
-50	-15	1.55417482702227	1.566252146	0.2875036794	0.9786017452
-50	-10	1.51621611760446	1.551036029	0.3970412923	0.9658339077
-50	-5	1.48085831012681	1.531864126	0.5009747203	0.9497467708
-50	0	1.44785813496697	1.509123679	0.6000000000	0.9306652697
-50	5	1.41701234259095	1.483064751	0.6947558876	0.9087992331
-50	10	1.38815469393932	1.453818152	0.7858165730	0.8842584227
-50	15	1.36116130172923	1.421414876	0.8736872912	0.8570688459
-50	20	1.33595157019622	1.385797826	0.9588010655	0.8271825919
-50	25	1.31249198180139	1.346832068	1.041515044	0.7944864393
-50	30	1.29079968281504	1.304312231	1.122104910	0.7588080599
-50	35	1.27094707286520	1.257969140	1.200756459	0.7199215887
-50	40	1.25306673307901	1.207476801	1.277553486	0.6775534861
-50	45	1.23735765343043	1.152462434	1.352462434	0.6313909510
-
-55	-45	1.86466770008261	1.581616192	-0.5816161922	0.8273765650
-55	-40	1.80317872687492	1.617258951	-0.4214015371	0.8523338937
-55	-35	1.74536440258837	1.640194465	-0.2683935131	0.8683935131
-55	-30	1.69126036496042	1.652399340	-0.1230730959	0.8769394585
-55	-25	1.64078128313026	1.655569199	0.01451846699	0.8791590181
-55	-20	1.59376930869964	1.651116215	0.1446309380	0.8760410051
-55	-15	1.55002622673686	1.640184750	0.2676934979	0.8683867105
-55	-10	1.50933937705387	1.623679809	0.3842322339	0.8568298265
-55	-5	1.47150213994477	1.602300379	0.4948123467	0.8418597887
-55	0	1.43632066467661	1.576565009	0.6000000000	0.8238396883
-55	5	1.40362971088724	1.546844770	0.7003359162	0.8030293533
-55	10	1.37329103205019	1.513380154	0.7963189609	0.7795971765
-55	15	1.34520375360522	1.476305131	0.8883950906	0.7536369659
-55	20	1.31930457330116	1.435660139	0.9769494636	0.7251770367
-55	25	1.29557174668972	1.391405739	1.062300088	0.6941897719
-55	30	1.27402737973469	1.343433124	1.144691368	0.6605989850
-55	35	1.25474032203071	1.291574275	1.224287028	0.6242870284
-55	40	1.23782890918667	1.235612298	1.301161971	0.5851020302
-55	45	1.22346382554912	1.175293457	1.375293457	0.5428663227
-
-60	-45	1.87497115915298	1.627456752	-0.6274567518	0.7086724861
-60	-40	1.81196370377117	1.669430851	-0.4651789592	0.7329062438
-60	-35	1.75212905499730	1.697473362	-0.3085006286	0.7490965948
-60	-30	1.69566112769015	1.713453462	-0.1583227097	0.7583227097
-60	-25	1.64262399453390	1.719057124	-0.01508643833	0.7615579854
-60	-20	1.59299397878896	1.715756851	0.1211036706	0.7596525723
-60	-15	1.54668527869416	1.704799203	0.2503801071	0.7533261714
-60	-10	1.50357822017591	1.687215515	0.3730291748	0.7431742240
-60	-5	1.46354014484334	1.663840472	0.4894282862	0.7296786367
-60	0	1.42643336589750	1.635327532	0.6000000000	0.7132166829
-60	5	1.39213558320363	1.602179044	0.7051770379	0.6940783948
-60	10	1.36053867833683	1.564759154	0.8053784648	0.6724740109
-60	15	1.33156277908226	1.523319707	0.9009926082	0.6485489350
-60	20	1.30515546079612	1.478012386	0.9923644206	0.6223907411
-60	25	1.28129875256046	1.428906343	1.079786907	0.5940393541
-60	30	1.26000908521859	1.375998841	1.163493193	0.5634931934
-60	35	1.24133907140535	1.319227025	1.243649692	0.5307159702
-60	40	1.22537930551623	1.258479831	1.320350110	0.4956435618
-60	45	1.21225906272676	1.193609845	1.393609845	0.4581908578
-
-65	-45	1.88348809645966	1.664843123	-0.6648431229	0.5898060346
-65	-40	1.81936353996450	1.712489347	-0.5013093266	0.6120238335
-65	-35	1.75795010082006	1.745229875	-0.3419400992	0.6272909927
-65	-30	1.69956382165844	1.764780847	-0.1879565893	0.6364077605
-65	-25	1.64439865262512	1.772772163	-0.04013417246	0.6401341725
-65	-20	1.59255181589468	1.770692423	0.1011087577	0.6391643737
-65	-15	1.54404508988188	1.759856746	0.2356274832	0.6341116145
-65	-10	1.49885234049433	1.741401098	0.3634747945	0.6255056045
-65	-5	1.45691421790605	1.716281344	0.4848403044	0.6137920710
-65	0	1.41815187269206	1.685282085	0.6000000000	0.5993368793
-65	5	1.38248792327164	1.649039263	0.7092767759	0.5824365739
-65	10	1.34984462841131	1.608046328	0.8130111616	0.5633212541
-65	15	1.32016028744425	1.562679046	0.9115389115	0.5421661432
-65	20	1.29338926055419	1.513206391	1.005173991	0.5190966652
-65	25	1.26950920045146	1.459808027	1.094196599	0.4941965990
-65	30	1.24852353247389	1.402587242	1.178844014	0.4675141087
-65	35	1.23046055589179	1.341580935	1.259302069	0.4390664009
-65	40	1.21537628469153	1.276772778	1.335699715	0.4088458610
-65	45	1.20335429398762	1.208104074	1.408104074	0.3768251181
-
-70	-45	1.89030565824482	1.694464451	-0.6944644509	0.4711465294
-70	-40	1.82537917726575	1.746946150	-0.5302220176	0.4902483057
-70	-35	1.76276421052035	1.783777988	-0.3689317785	0.5036539985
-70	-30	1.70286997032626	1.806510546	-0.2120492421	0.5119279728
-70	-25	1.64599370823002	1.816689292	-0.06061306591	0.5156327334
-70	-20	1.59233542158062	1.815787605	0.08469545358	0.5153045464
-70	-15	1.54201335680718	1.805160727	0.2234883179	0.5114366790
-70	-10	1.49508709891903	1.786025018	0.3556063934	0.5044718505
-70	-5	1.45156805808667	1.759441374	0.4810642910	0.4947961954
-70	0	1.41143392707946	1.726314046	0.6000000000	0.4827388340
-70	5	1.37464818363726	1.687403374	0.7126332006	0.4685765076
-70	10	1.34116191703064	1.643328212	0.8192323097	0.4525344608
-70	15	1.31092847089849	1.594584467	0.9200879431	0.4347931882
-70	20	1.28390510490918	1.541554040	1.015491691	0.4154916915
-70	25	1.26006120794355	1.484521290	1.105720583	0.3947334681
-70	30	1.23938244614212	1.423686195	1.191025500	0.3725913042
-70	35	1.22186981642438	1.359173409	1.271620451	0.3491105702
-70	40	1.20754381402413	1.291045823	1.347676221	0.3243141569
-70	45	1.19644368065083	1.219313959	1.419313959	0.2982058935
-
-75	-45	1.89550961829435	1.716898845	-0.7168988448	0.3528619820
-75	-40	1.83002609075376	1.773250819	-0.5522942561	0.3679614481
-75	-35	1.76653421102334	1.813414012	-0.3896831460	0.3787231432
-75	-30	1.70550800527885	1.838783647	-0.2306821262	0.3855209164
-75	-25	1.64732243664352	1.850814191	-0.07652576779	0.3887444908
-75	-20	1.59225871563727	1.850946845	0.07189853699	0.3887800353
-75	-15	1.54051509858360	1.840555890	0.2140042125	0.3859957875
-75	-10	1.49222368029279	1.820915419	0.3494542743	0.3807331391
-75	-5	1.44745739667339	1.793170649	0.4781133619	0.3732989502
-75	0	1.40624429816934	1.758327686	0.6000000000	0.3639628064
-75	5	1.36858421657465	1.717255599	0.7152449319	0.3529575741
-75	10	1.33445114366907	1.670682292	0.8240555720	0.3404782939
-75	15	1.30381012698343	1.619209964	0.9266863253	0.3266863253
-75	20	1.27661898977550	1.563319928	1.023413827	0.3117106354
-75	25	1.25283759232328	1.503387241	1.114517920	0.2956517201
-75	30	1.23243191520743	1.439691916	1.200266408	0.2785846093
-75	35	1.21537819530312	1.372430967	1.280903494	0.2605620924
-75	40	1.20166485751176	1.301728811	1.356640312	0.2416175066
-75	45	1.19129252113208	1.227646417	1.427646417	0.2217671892
-
-80	-45	1.89917165820301	1.732599076	-0.7325990762	0.2349731716
-80	-40	1.83332556925840	1.791769787	-0.5678335154	0.2454065645
-80	-35	1.76923839812763	1.834389997	-0.4043706888	0.2529216574
-80	-30	1.70742677063712	1.861730557	-0.2439305307	0.2577425358
-80	-25	1.64831886996478	1.875166487	-0.08788142984	0.2601116527
-80	-20	1.59225408651707	1.876103968	0.06274209305	0.2602769559
-80	-15	1.53949024880950	1.865923280	0.2072070409	0.2584818259
-80	-10	1.49021462649054	1.845936662	0.3450423541	0.2549576459
-80	-5	1.44454786789073	1.817350842	0.4759978691	0.2499171946
-80	0	1.40255709959813	1.781249106	0.6000000000	0.2435514844
-80	5	1.36427064853692	1.738585031	0.7171110154	0.2360286570
-80	10	1.32968040991413	1.690172314	0.8274921888	0.2274921888
-80	15	1.29875880355238	1.636695566	0.9313715783	0.2180627953
-80	20	1.27146292480564	1.578713551	1.029016647	0.2078390015
-80	25	1.24774386553684	1.516671033	1.120712254	0.1968992316
-80	30	1.22755181529550	1.450908906	1.206742540	0.1853035943
-80	35	1.21084188867400	1.381676350	1.287377181	0.1730960269
-80	40	1.19757732174355	1.309141269	1.362860104	0.1603061350
-80	45	1.18772970135017	1.233398864	1.433398864	0.1469507054
-
-85	-45	1.90134668166666	1.741889789	-0.7418897887	0.1174001442
-85	-40	1.83529687003986	1.802772077	-0.5770655328	0.1227266543
-85	-35	1.77086487551823	1.846896646	-0.4131279387	0.1265870538
-85	-30	1.70859142133561	1.875454565	-0.2518540906	0.1290855480
-85	-25	1.64893556987622	1.889767278	-0.09468989039	0.1303377481
-85	-20	1.59227153644006	1.891214823	0.05724219140	0.1304643919
-85	-15	1.53889380491081	1.881177743	0.2031196198	0.1295862612
-85	-10	1.48902413943356	1.860989743	0.3423880898	0.1278200400
-85	-5	1.44281332523275	1.831894849	0.4747254334	0.1252745666
-85	0	1.40035323374024	1.795024467	0.6000000000	0.1220488262
-85	5	1.36169026782432	1.751385689	0.7182309279	0.1182309279
-85	10	1.32682749744854	1.701846836	0.8295507219	0.1138968398
-85	15	1.29574219302993	1.647145509	0.9341716320	0.1091110938
-85	20	1.26838965263093	1.587888754	1.032356148	0.1039267995
-85	25	1.24471508108852	1.524565345	1.124393432	0.09838671906
-85	30	1.22465815644874	1.457553869	1.210579011	0.09252397460
-85	35	1.20816032583320	1.387135240	1.291199536	0.08636314285
-85	40	1.19516889918322	1.313503198	1.366520196	0.07992117389
-85	45	1.18563749619195	1.236772623	1.436772623	0.07320811842
-
-90	-45	1.90206707171060	1.744964525	-0.7449645247	0.000000000
-90	-40	1.83595164596767	1.806420556	-0.5801269700	0.000000000
-90	-35	1.77140683169132	1.851051527	-0.4160372178	0.000000000
-90	-30	1.70898108116578	1.880021031	-0.2544905406	0.000000000
-90	-25	1.64914354959417	1.894631641	-0.09695818029	0.000000000
-90	-20	1.59228002853135	1.896253793	0.05540815643	0.000000000
-90	-15	1.53869737043600	1.886267529	0.2017558159	0.000000000
-90	-10	1.48862907949030	1.866013459	0.3415022731	0.000000000
-90	-5	1.44223624462396	1.836748100	0.4743008289	0.000000000
-90	0	1.39961921480482	1.799619215	0.6000000000	0.000000000
-90	5	1.36083059293026	1.755652222	0.7186042011	0.000000000
-90	10	1.32587728128990	1.705734226	0.8302361737	0.000000000
-90	15	1.29473814870166	1.650621016	0.9351028913	0.000000000
-90	20	1.26736775697709	1.590936129	1.033465302	0.000000000
-90	25	1.24370922459245	1.527183355	1.125614231	0.000000000
-90	30	1.22369864793121	1.459754116	1.211849324	0.000000000
-90	35	1.20727262618018	1.388939840	1.292463131	0.000000000
-90	40	1.19437300519998	1.314942804	1.367728169	0.000000000
-90	45	1.18494731832089	1.237884284	1.437884284	0.000000000
-
-
-### +y patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = 90 - dsigma = 90 - dphi
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
-45	45	1.25442443424764	1.124242285	1.324242285	0.7242422848
-40	45	1.25834143151544	1.042098419	1.365223098	0.7652230977
-35	45	1.26443885881685	0.9610474615	1.401258814	0.8012588139
-30	45	1.27242896862232	0.8809329446	1.433000295	0.8330002950
-25	45	1.28210397793725	0.8014852361	1.460987867	0.8609878673
-20	45	1.29332642774998	0.7223532952	1.485658400	0.8856583997
-15	45	1.30602202062678	0.6431248643	1.507354346	0.9073543461
-10	45	1.32017083994810	0.5633368569	1.526329347	0.9263293469
-5	45	1.33580275408927	0.4824801902	1.542752888	0.9427528881
-0	45	1.35299577997448	0.4000000000	1.556712491	0.9567124909
--5	45	1.37187439985689	0.3152925377	1.568210725	0.9682107247
--10	45	1.39261160596368	0.2277004796	1.577159138	0.9771591376
--15	45	1.41543052206533	0.1365080005	1.583365529	0.9833655294
--20	45	1.44060754711764	0.04093783290	1.586515196	0.9865151963
--25	45	1.46847684103486	-0.05984708058	1.586145247	0.9861452467
--30	45	1.49943109999260	-0.1667316855	1.581608074	0.9816080736
--35	45	1.53392245943112	-0.2806207323	1.572027142	0.9720271422
--40	45	1.57245159640214	-0.4023805454	1.556239898	0.9562398976
--45	45	1.61554953048743	-0.5327379563	1.532737956	0.9327379563
-
-45	50	1.23735767956813	1.152462450	1.352462450	0.6313909643
-40	50	1.23935278042430	1.070138130	1.398639524	0.6701381297
-35	50	1.24388890838689	0.9879664954	1.439703178	0.7045946273
-30	50	1.25069797660628	0.9058845021	1.476217660	0.7352339157
-25	50	1.25957808625337	0.8237151026	1.508659970	0.7624562456
-20	50	1.27038804202951	0.7411924454	1.537418539	0.7865875506
-15	50	1.28304512934092	0.6579805535	1.562796533	0.8078822156
-10	50	1.29751932714935	0.5736842412	1.585012280	0.8265234405
-5	50	1.31383064560159	0.4878561077	1.604199906	0.8426237706
-0	50	1.33204752238613	0.4000000000	1.620407602	0.8562236429
--5	50	1.35228451227085	0.3095724749	1.633591342	0.8672861137
--10	50	1.37470376999744	0.2159839501	1.643606878	0.8756901465
--15	50	1.39951400284951	0.1186011709	1.650194727	0.8812180083
--20	50	1.42697130013509	0.01675345545	1.652961227	0.8835393774
--25	50	1.45737942116999	-0.09025437780	1.651353906	0.8821906748
--30	50	1.49108396098855	-0.2031162449	1.644627979	0.8765469520
--35	50	1.52846823308857	-0.3224826142	1.631812105	0.8657931571
--40	50	1.56993215423075	-0.4488877535	1.611665030	0.8488877535
--45	50	1.61586695258375	-0.5826416614	1.582641661	0.8245342557
-
-45	55	1.22346386549917	1.175293482	1.375293482	0.5428663404
-40	55	1.22366453819364	1.093138634	1.426050458	0.5784067574
-35	55	1.22668416056544	1.010327887	1.471638555	0.6103278869
-30	55	1.23229105710311	0.9268476269	1.512526858	0.6389581845
-25	55	1.24030601309879	0.8425795646	1.549114939	0.6645774351
-20	55	1.25059889657458	0.7573189942	1.581725868	0.6874118534
-15	55	1.26309113076122	0.6707911571	1.610606357	0.7076341891
-10	55	1.27775251908077	0.5826612429	1.635923386	0.7253613640
-5	55	1.29459845330058	0.4925420151	1.657760073	0.7406515769
-0	55	1.31369020484625	0.4000000000	1.676112017	0.7535017462
--5	55	1.33513182686037	0.3045605304	1.690878129	0.7638410894
--10	55	1.35907126248121	0.2057138277	1.701851637	0.7715248219
--15	55	1.38569583087914	0.1029239076	1.708703071	0.7763222477
--20	55	1.41523233939715	-0.004357782108	1.710963876	0.7779052805
--25	55	1.44794269758014	-0.1166707586	1.708004017	0.7758327654
--30	55	1.48411395528226	-0.2345107439	1.699004846	0.7695314780
--35	55	1.52404968014543	-0.3582799637	1.682936019	0.7582799637
--40	55	1.56804432138920	-0.4882108336	1.658528452	0.7411896015
--45	55	1.61635375470721	-0.6242628050	1.624262805	0.7171965372
-
-45	60	1.21225908625096	1.193609861	1.393609861	0.4581908667
-40	60	1.21085113081272	1.111809593	1.448301640	0.4897671803
-35	60	1.21246785461077	1.028679608	1.497847530	0.5183725129
-30	60	1.21692331379819	0.9442246506	1.542624746	0.5442246506
-25	60	1.22406998628695	0.8583573908	1.582950597	0.5675067915
-20	60	1.23380037291552	0.7709131846	1.619075599	0.5883635716
-15	60	1.24604963109049	0.6816628208	1.651179958	0.6068990317
-10	60	1.26079479072877	0.5903217473	1.679368266	0.6231735587
-5	60	1.27805246580045	0.4965579605	1.703662539	0.6371998638
-0	60	1.29787941755938	0.4000000000	1.723996547	0.6489397088
--5	60	1.32036938139390	0.3002449602	1.740205322	0.6582978496
--10	60	1.34565348639562	0.1968685113	1.752015919	0.6651167010
--15	60	1.37389442942079	0.08943854976	1.759031111	0.6691669240
--20	60	1.40528367417206	-0.02246562276	1.760714759	0.6701389786
--25	60	1.44003422858440	-0.1392259748	1.756373835	0.6676327448
--30	60	1.47836941673305	-0.2611469023	1.745140026	0.6611469023
--35	60	1.52050735184632	-0.3884019051	1.725954609	0.6500701968
--40	60	1.56664065264071	-0.5209636244	1.697561708	0.6336775476
--45	60	1.61690533911456	-0.6585130154	1.658513015	0.6111327744
-
-45	65	1.20335430544162	1.208104081	1.408104081	0.3768251217
-40	65	1.20055884142163	1.126730321	1.466083471	0.4038613550
-35	65	1.20093526700157	1.043481908	1.518987404	0.4285308642
-30	65	1.20434404234457	0.9583613936	1.567110303	0.4509709404
-25	65	1.21067419741205	0.8712932136	1.610691558	0.4712932136
-20	65	1.21984686945759	0.7821357107	1.649909236	0.4895807173
-15	65	1.23181706428048	0.6906911767	1.684874241	0.5058851665
-10	65	1.24657497881809	0.5967147764	1.715624935	0.5202244508
-5	65	1.26414162682260	0.4999222625	1.742116687	0.5325777576
-0	65	1.28457285974867	0.4000000000	1.764218386	0.5428839491
--5	65	1.30795316669630	0.2966147171	1.781699191	0.5510353822
--10	65	1.33439622933648	0.1894266608	1.794220750	0.5568742814
--15	65	1.36403790561081	0.07810659936	1.801322526	0.5601858937
--20	65	1.39703164335198	-0.03764155430	1.802410288	0.5606931257
--25	65	1.43353911027628	-0.1580504281	1.796743005	0.5580504281
--30	65	1.47371900667670	-0.2832497769	1.783423328	0.5518393606
--35	65	1.51770817236576	-0.4132143146	1.761390403	0.5415652388
--40	65	1.56560727959558	-0.5477038871	1.729429512	0.5266616309
--45	65	1.61744913636923	-0.6861865390	1.686186539	0.5064971013
-
-45	70	1.19644369354089	1.219313968	1.419313968	0.2982058967
-40	70	1.19250170979532	1.138362585	1.479946264	0.3202742477
-35	70	1.19183294313247	1.055110199	1.535594325	0.3405284858
-30	70	1.19434039273577	0.9695462529	1.586483047	0.3590504658
-25	70	1.19994938126894	0.8815949391	1.632783680	0.3759025179
-20	70	1.20861110925547	0.7911253816	1.674608154	0.3911253816
-15	70	1.22030319855427	0.6979600714	1.712002125	0.4047356740
-10	70	1.23503037390438	0.6018835743	1.744938644	0.4167235866
-5	70	1.25282200138946	0.5026512481	1.773309135	0.4270496008
-0	70	1.27373517494848	0.4000000000	1.796919545	0.4356430871
--5	70	1.29784637264577	0.2936596341	1.815475944	0.4423970642
--10	70	1.32525274718509	0.1833682741	1.828579568	0.4471663933
--15	70	1.35606358147746	0.06889146724	1.835713867	0.4497630657
--20	70	1.39039505253607	-0.04995349735	1.836237074	0.4499534973
--25	70	1.42835954532178	-0.1732664552	1.829373881	0.4474554993
--30	70	1.47005561088217	-0.3010268344	1.814214095	0.4419377885
--35	70	1.51554816216089	-0.4330454904	1.789712257	0.4330198487
--40	70	1.56485872417015	-0.5689152843	1.754708271	0.4202794399
--45	70	1.61793792750879	-0.7079494588	1.707949459	0.4032606241
-
-45	75	1.19129252288036	1.227646419	1.427646419	0.2217671895
-40	75	1.18645501420019	1.147063282	1.490315351	0.2385592792
-35	75	1.18495751501039	1.063860611	1.548091209	0.2540402738
-30	75	1.18673856198917	0.9780110729	1.601144546	0.2682558725
-25	75	1.19175536671796	0.8894325461	1.649591482	0.2812371901
-20	75	1.19998652239194	0.7979972801	1.693488540	0.2929993713
-15	75	1.21143062305436	0.7035394575	1.732824677	0.3035394575
-10	75	1.22610817500290	0.6058646881	1.767516663	0.3128351469
-5	75	1.24405728962328	0.5047588420	1.797399043	0.3208421065
-0	75	1.26533733884820	0.4000000000	1.822222015	0.3274934018
--5	75	1.29001874464400	0.2913708630	1.841636718	0.3326955559
--10	75	1.31818413591640	0.1786756736	1.855192629	0.3363278512
--15	75	1.34991899892051	0.06176050629	1.862326976	0.3382394937
--20	75	1.38530633755316	-0.05946195577	1.862361349	0.3382487039
--25	75	1.42441545820801	-0.1849818712	1.854497671	0.3361416379
--30	75	1.46729357411904	-0.3146577689	1.837823566	0.3316738248
--35	75	1.51394698798613	-0.4481736774	1.811317547	0.3245715584
--40	75	1.56433330351017	-0.5849981316	1.773875062	0.3145388749
--45	75	1.61834081608009	-0.7243367644	1.724336764	0.3012651280
-
-45	80	1.18772970269343	1.233398865	1.433398865	0.1469507056
-40	80	1.18225152580270	1.153097529	1.497506685	0.1582546440
-35	80	1.18015458402577	1.069956448	1.556796965	0.1687091201
-30	80	1.18140391703335	0.9839329989	1.611401622	0.1783373944
-25	80	1.18598140900054	0.8949373585	1.661396590	0.1871528561
-20	80	1.19388761303125	0.8028412083	1.706797123	0.1951581950
-15	80	1.20513754821420	0.7074846002	1.747548150	0.2023437006
-10	80	1.21976557557374	0.6086870939	1.783523322	0.2086870939
-5	80	1.23781772844362	0.5062561092	1.814512886	0.2141513902
-0	80	1.25935570221924	0.4000000000	1.840223259	0.2186848227
--5	80	1.28444557582756	0.2897412872	1.860262854	0.2222183439
--10	80	1.31315862397120	0.1753344884	1.874141432	0.2246655116
--15	80	1.34556152476208	0.05668694990	1.881261746	0.2259210151
--20	80	1.38171121097286	-0.06621659163	1.880919558	0.2258606782
--25	80	1.42164362457496	-0.1932846290	1.872302993	0.2243413452
--30	80	1.46536696573506	-0.3242875316	1.854502804	0.2212026917
--35	80	1.51284417050761	-0.4588194464	1.826521280	0.2162687942
--40	80	1.56398639257471	-0.5962637065	1.787300851	0.2093531743
--45	80	1.61863875287591	-0.7357564744	1.735756474	0.2002645100
-
-45	85	1.18563749645482	1.236772623	1.436772623	0.07320811844
-40	85	1.17977498378546	1.156647326	1.501737170	0.07889177981
-35	85	1.17731591706276	1.073553169	1.561933615	0.08415828641
-30	85	1.17824157555750	0.9874370509	1.617470818	0.08901716208
-25	85	1.18254933363388	0.8982032542	1.668400327	0.09347291668
-20	85	1.19025368874991	0.8057219318	1.714711846	0.09752464965
-15	85	1.20138053419860	0.7098357805	1.756322875	0.1011651429
-10	85	1.21597321489319	0.6103721319	1.793079647	0.1043809438
-5	85	1.23408335277734	0.5071512541	1.824744438	0.1071512541
-0	85	1.25577441501427	0.4000000000	1.850995814	0.1094479519
--5	85	1.28110986188969	0.2887655943	1.871415075	0.1112344057
--10	85	1.31015373735520	0.1733339588	1.885486999	0.1124655395
--15	85	1.34296067939892	0.05365073060	1.892593071	0.1130872402
--20	85	1.37957099967003	-0.07025454858	1.892013754	0.1130365566
--25	85	1.41999958468017	-0.1982400852	1.882930003	0.1122418313
--30	85	1.46423030479627	-0.3300227305	1.864436460	0.1106238560
--35	85	1.51219947904077	-0.4651431074	1.835552404	0.1080968286
--40	85	1.56379017964686	-0.6029350297	1.795251425	0.1045709497
--45	85	1.61882216885800	-0.7424959788	1.742495979	0.09995544627
-
-45	90	1.18494731845266	1.237884284	1.437884284	0.000000000
-40	90	1.17895666377728	1.157818736	1.503133201	0.000000000
-35	90	1.17637638208515	1.074741773	1.563631118	0.000000000
-30	90	1.17719328032654	0.9885966402	1.619479286	0.000000000
-25	90	1.18140999647234	0.8992854391	1.670721079	0.000000000
-20	90	1.18904581598528	0.8066776204	1.717337579	0.000000000
-15	90	1.20013048911251	0.7106166272	1.759237034	0.000000000
-10	90	1.21471043859637	0.6109322541	1.796256258	0.000000000
-5	90	1.23283925924475	0.5074490213	1.828147934	0.000000000
-0	90	1.25458107461895	0.4000000000	1.854581075	0.000000000
--5	90	1.27999846682907	0.2884407829	1.875127686	0.000000000
--10	90	1.30915299583997	0.1726679680	1.889264020	0.000000000
--15	90	1.34209515430418	0.05264021373	1.896364371	0.000000000
--20	90	1.37885954683754	-0.07159773984	1.895704141	0.000000000
--25	90	1.41945386855198	-0.1998871265	1.886462094	0.000000000
--30	90	1.46385372941843	-0.3319268647	1.867734517	0.000000000
--35	90	1.51198648005716	-0.4672398170	1.838546816	0.000000000
--40	90	1.56372580607472	-0.6051435731	1.797883464	0.000000000
--45	90	1.61888309844004	-0.7447232169	1.744723217	0.000000000
-
-
-### -x patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = drho = dnu
-# dpy = 180 - dsigma = 180 - dphi
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--90	45	1.61888309128691	-0.7447232118	1.744723212	1.401881617e-16
--90	40	1.67719190967381	-0.8848035424	1.678078179	1.573430546e-16
--90	35	1.73830736458133	-1.023938031	1.597052143	1.743821152e-16
--90	30	1.80180631998544	-1.160410046	1.500903160	1.910951168e-16
--90	25	1.86718129155556	-1.292240944	1.389104912	2.072397456e-16
--90	20	1.93385448296568	-1.417228787	1.261417187	2.225463418e-16
--90	15	2.00117614494146	-1.532987721	1.117942499	2.367227226e-16
--90	10	2.06845103400579	-1.637026615	0.9591827526	2.494638124e-16
--90	5	2.13494143760183	-1.726817341	0.7860724067	2.604600049e-16
--90	-2.84217e-14	2.19988841481422	-1.799888415	0.6000000000	2.694086306e-16
--90	-5	2.26253662349835	-1.853926989	0.4028069401	2.760264472e-16
--90	-10	2.32214304272277	-1.886864472	0.1967640923	2.800601256e-16
--90	-15	2.37798237200803	-1.896954588	-0.01546712679	2.812958083e-16
--90	-20	2.42936396373755	-1.882855390	-0.2308914111	2.795691546e-16
--90	-25	2.47564505763255	-1.843696394	-0.4462528109	2.747735607e-16
--90	-30	2.51623861926761	-1.779126566	-0.6581193096	2.668660374e-16
--90	-35	2.55062184474868	-1.689347098	-0.8629765882	2.558712236e-16
--90	-40	2.57833536015139	-1.575119475	-1.057322023	2.418823743e-16
--90	-45	2.59900426734286	-1.437773542	-1.237773542	2.250623485e-16
-
--85	45	1.61882215800016	-0.7424959711	1.742495971	0.09995544560
--85	40	1.67697052515782	-0.8817585349	1.675523114	0.1121393412
--85	35	1.73786838356765	-1.019936648	1.594250345	0.1242283596
--85	30	1.80109236431186	-1.155333779	1.497972376	0.1360740736
--85	25	1.86614142151949	-1.286006704	1.386197838	0.1475064732
--85	20	1.93244534426665	-1.409798817	1.258712899	0.1583368797
--85	15	1.99936964613967	-1.524383483	1.115637000	0.1683617391
--85	10	2.06623757524872	-1.627335772	0.9574739956	0.1773688972
--85	5	2.13233146739048	-1.716195068	0.7851430783	0.1851430783
--85	-2.84217e-14	2.19691509426621	-1.788555169	0.6000000000	0.1914737668
--85	-5	2.25925236317567	-1.842155492	0.4038368126	0.1961631874
--85	-10	2.31861876890445	-1.874965294	0.1988622385	0.1990336731
--85	-15	2.37430531200305	-1.885257224	-0.01233282758	0.1999341003
--85	-20	2.42563218640244	-1.871684565	-0.2268255632	0.1987466465
--85	-25	2.47196098986895	-1.833347780	-0.4414271731	0.1953926124
--85	-30	2.51270275300759	-1.769845115	-0.6527606611	0.1898368491
--85	-35	2.54732613004648	-1.681309356	-0.8573485008	0.1820909740
--85	-40	2.57535950323318	-1.568423997	-1.051703850	0.1722147847
--85	-45	2.59640809904131	-1.432434636	-1.232434636	0.1603172573
-
--80	45	1.61863872811294	-0.7357564570	1.735756457	0.2002645069
--80	40	1.67630507717976	-0.8725676226	1.667811023	0.2243880066
--80	35	1.73655162513561	-1.007889566	1.585814887	0.2482489164
--80	30	1.79895608344171	-1.140088936	1.489170762	0.2715592321
--80	25	1.86303425363161	-1.267326477	1.377487105	0.2939946436
--80	20	1.92824184907662	-1.387582439	1.250626799	0.3151990143
--80	15	1.99398879217465	-1.498702894	1.108755907	0.3347925486
--80	10	2.05965047591249	-1.598453163	0.9523812123	0.3523812123
--80	5	2.12456880506710	-1.684568779	0.7823761365	0.3675657189
--80	-2.84217e-14	2.18807329454996	-1.754831545	0.6000000000	0.3799549402
--80	-5	2.24948479539952	-1.807132931	0.4069008897	0.3891770857
--80	-10	2.30813214577223	-1.839551828	0.2051065881	0.3948934119
--80	-15	2.36335313849086	-1.850416583	-0.002997305967	0.3968091614
--80	-20	2.41450070615980	-1.838370184	-0.2147001202	0.3946850562
--80	-25	2.46095142347059	-1.802433723	-0.4270117116	0.3883484886
--80	-30	2.50211311632306	-1.742062701	-0.6367204769	0.3777034485
--80	-35	2.53743271645595	-1.657194842	-0.8404633360	0.3627389552
--80	-40	2.56640335184550	-1.548286059	-1.034806113	0.3435353983
--80	-45	2.58857434954523	-1.416334912	-1.216334912	0.3202688510
-
--75	45	1.61834076717641	-0.7243367304	1.724336730	0.3012651189
--75	40	1.67520134311826	-0.8570703930	1.654807303	0.3368309966
--75	35	1.73436609818491	-0.9876761233	1.571661282	0.3718266966
--75	30	1.79541766510121	-1.114632338	1.474473388	0.4058445117
--75	25	1.85790097435397	-1.236272923	1.363006595	0.4384380084
--75	20	1.92131885465104	-1.350803122	1.237240222	0.4691262826
--75	15	1.98515057818152	-1.456340364	1.097404901	0.4974049014
--75	10	2.04884985114185	-1.550942331	0.9440037707	0.5227534220
--75	5	2.11185684534741	-1.632651861	0.7778339947	0.5446474247
--75	-2.84217e-14	2.17359518548396	-1.699531726	0.6000000000	0.5625678303
--75	-5	2.23348420837590	-1.749717602	0.4119240801	0.5760150953
--75	-10	2.29093447148628	-1.781458556	0.2153499993	0.5845200584
--75	-15	2.34535650936600	-1.793173658	0.01234088940	0.5876591106
--75	-20	2.39615749633875	-1.783500159	-0.1947290644	0.5850671043
--75	-25	2.44274372261386	-1.751350081	-0.4031910182	0.5764525169
--75	-30	2.48452574442321	-1.695970820	-0.6101093173	0.5616136887
--75	-35	2.52092688057961	-1.617007853	-0.8123241036	0.5404556254
--75	-40	2.55138565322474	-1.514558736	-1.006505529	0.5130044671
--75	-45	2.57537101253926	-1.389230231	-1.189230231	0.4794227953
-
--70	45	1.61793784017564	-0.7079493990	1.707949399	0.4032606023
--70	40	1.67366648903240	-0.8349974524	1.636285907	0.4495023121
--70	35	1.73132695635504	-0.9590995994	1.551651785	0.4946717996
--70	30	1.79051509610060	-1.078902329	1.453844658	0.5382764271
--70	25	1.85081804467435	-1.192979421	1.342818503	0.5797970931
--70	20	1.91180594775441	-1.299837313	1.218690185	0.6186901851
--70	15	1.97304707252291	-1.397940496	1.081756704	0.6543968234
--70	10	2.03409969400144	-1.485718275	0.9325030099	0.6863453223
--70	5	2.09452258064105	-1.561589496	0.7716168434	0.7139601883
--70	-2.84217e-14	2.15386276201062	-1.623968944	0.6000000000	0.7366644506
--70	-5	2.21165706453794	-1.671289804	0.4187856233	0.7538878352
--70	-10	2.26743050097893	-1.702028305	0.2293556956	0.7650757347
--70	-15	2.32068739365189	-1.714727976	0.03336034652	0.7696980370
--70	-20	2.37090994501245	-1.708038839	-0.1672633902	0.7672633902
--70	-25	2.41755269857679	-1.680761915	-0.3702752156	0.7573354016
--70	-30	2.46004759489609	-1.631912562	-0.5731252649	0.7395556914
--70	-35	2.49779710722336	-1.560782182	-0.7729544649	0.7136663503
--70	-40	2.53018438940945	-1.467021474	-0.9666170300	0.6795402432
--70	-45	2.55658706319554	-1.350728013	-1.150728013	0.6372128850
-
--65	45	1.61744897255616	-0.6861864290	1.686186429	0.5064970500
--65	40	1.67171600215909	-0.8059763731	1.611934330	0.5623560183
--65	35	1.72745937650056	-0.9218975671	1.525602641	0.6164109588
--65	30	1.78430386835112	-1.032828655	1.427244010	0.6681389746
--65	25	1.84189277118417	-1.137643636	1.317015003	0.7170150030
--65	20	1.89988278917729	-1.235208925	1.195167376	0.7625104446
--65	15	1.95794330709093	-1.324381258	1.062046565	0.8040921860
--65	10	2.01575627863584	-1.404005379	0.9180948217	0.8412215236
--65	5	2.07300880454719	-1.472905612	0.7638580089	0.8733502300
--65	-2.84217e-14	2.12938346234957	-1.529876814	0.6000000000	0.8999163374
--65	-5	2.18455427182009	-1.573683830	0.4273250395	0.9203438845
--65	-10	2.23817198060095	-1.603056786	0.2468070448	0.9340407189
--65	-15	2.28985716108930	-1.616701279	0.05962652098	0.9404032505
--65	-20	2.33918927334714	-1.613315347	-0.1327868587	0.9388243648
--65	-25	2.38569593826948	-1.591619835	-0.3287075812	0.9287075812
--65	-30	2.42884763659403	-1.550409094	-0.5260692156	0.9094906972
--65	-35	2.46805209080793	-1.488618684	-0.7224250393	0.8806773557
--65	-40	2.50265320523057	-1.405414695	-0.9149228044	0.8418786983
--65	-45	2.53194027154549	-1.300306599	-1.100306599	0.7928659885
-
--60	45	1.61690510382679	-0.6585128614	1.658512861	0.6111326855
--60	40	1.66937643388368	-0.7695366432	1.581357766	0.6752322958
--60	35	1.72280492699985	-0.8757584803	1.493295705	0.7365595020
--60	30	1.77686491281565	-0.9763536432	1.394638146	0.7946381464
--60	25	1.83127100173612	-1.070544122	1.285725986	0.8490190449
--60	20	1.88577651222548	-1.157584899	1.166914541	0.8992720608
--60	15	1.94016739065714	-1.236744657	1.038564409	0.9449749683
--60	10	1.99424853293132	-1.307279088	0.9010393667	0.9856980408
--60	5	2.04784416715100	-1.368416362	0.7547163841	1.020995663
--60	-2.84217e-14	2.10077106541745	-1.419321110	0.6000000000	1.050385533
--60	-5	2.15283864914185	-1.459084374	0.4373511927	1.073342864
--60	-10	2.20383403202848	-1.486705540	0.2673229086	1.089289951
--60	-15	2.25350574260899	-1.501080031	0.09060714088	1.097589068
--60	-20	2.30154957049071	-1.500998784	-0.09190697259	1.097542159
--60	-25	2.34759088115767	-1.485158433	-0.2790638141	1.088396729
--60	-30	2.39117231707028	-1.452194112	-0.4693647694	1.069364769
--60	-35	2.43174103403559	-1.400734487	-0.6608878620	1.039654541
--60	-40	2.46863727434534	-1.329485149	-0.8512103510	0.9985187166
--60	-45	2.50109279461054	-1.237349579	-1.037349579	0.9453242201
-
--55	45	1.61635342663128	-0.6242625971	1.624262597	0.7171963916
--55	40	1.66669229558330	-0.7251220335	1.544089483	0.7878189293
--55	35	1.71742948302889	-0.8203448950	1.454494695	0.8544946947
--55	30	1.76830790034336	-0.9094539982	1.356013618	0.9168895604
--55	25	1.81913333438591	-0.9920489024	1.249123064	0.9747231350
--55	20	1.86976302663284	-1.067772549	1.134225519	1.027745403
--55	15	1.92009826884139	-1.136281483	1.011645383	1.075715875
--55	10	1.97006796430112	-1.197210294	0.8816312687	1.118378688
--55	5	2.01961860951785	-1.250142500	0.7443687620	1.155442218
--55	-2.84217e-14	2.06869785111867	-1.294578074	0.6000000000	1.186556341
--55	-5	2.11724442063369	-1.329908303	0.4486526346	1.211294834
--55	-10	2.16517619325331	-1.355392081	0.2904770144	1.229138768
--55	-15	2.21237087431569	-1.370130448	0.1256949760	1.239458683
--55	-20	2.25865084228894	-1.373051268	-0.04533788532	1.241503863
--55	-25	2.30376464613982	-1.362901590	-0.2220545118	1.234396982
--55	-30	2.34736459198094	-1.338252682	-0.4035806538	1.217137631
--55	-35	2.38898384518016	-1.297527770	-0.5886217405	1.188621741
--55	-40	2.42801175103561	-1.239060507	-0.7753350667	1.147682522
--55	-45	2.46367565068949	-1.161199908	-0.9611999077	1.093163944
-
--50	45	1.61586642960502	-0.5826413434	1.582641343	0.8245339888
--50	40	1.66373195498114	-0.6721096663	1.499606826	0.8996068256
--50	35	1.71142612680998	-0.7553201806	1.408963900	0.9694287375
--50	30	1.75877891088497	-0.8321704930	1.311393966	1.033913806
--50	25	1.80569881646824	-0.9026316114	1.207427096	1.093037705
--50	20	1.85215307774756	-0.9667025942	1.097439063	1.146799643
--50	15	1.89815214239490	-1.024372580	0.9816594826	1.195190507
--50	10	1.94373423477979	-1.075586567	0.8601857241	1.238164144
--50	5	1.98895502056721	-1.120217580	0.7330018043	1.275614011
--50	-2.84217e-14	2.03387553110588	-1.158039049	0.6000000000	1.307349991
--50	-5	2.07854657957188	-1.188695078	0.4610071909	1.333073454
--50	-10	2.12300308359310	-1.211678580	0.3158175821	1.352358902
--50	-15	2.16724696365359	-1.226301223	0.1642339008	1.364628756
--50	-20	2.21123265947653	-1.231667192	0.006121709765	1.369131339
--50	-25	2.25484657929070	-1.226646928	-0.1585179197	1.364918837
--50	-30	2.29788094731208	-1.209856180	-0.3294508992	1.350829727
--50	-35	2.34000295302826	-1.179649038	-0.5060821639	1.325482925
--50	-40	2.38071757987289	-1.134135545	-0.6872925703	1.287292570
--50	-45	2.41933034005068	-1.071244140	-0.8712441400	1.234520415
-
--45	45	1.61554922552391	-0.5327377802	1.532737780	0.9327377802
--45	40	1.66060168475417	-0.6098457648	1.447361209	1.009845765
--45	35	1.70492498786558	-0.6803892683	1.356496710	1.080389268
--45	30	1.74846008637509	-0.7446358136	1.260855795	1.144635814
--45	25	1.79122409144460	-0.8028838822	1.160913966	1.202883882
--45	20	1.83328946290820	-0.8554202690	1.056935609	1.255420269
--45	15	1.87476448631005	-0.9024862351	0.9490001348	1.302486235
--45	10	1.91578024197312	-0.9442528850	0.8370280525	1.344252885
--45	5	1.95647989788794	-0.9808004727	0.7208043880	1.380800473
--45	-2.84217e-14	1.99701167387936	-1.012100497	0.6000000000	1.412100497
--45	-5	2.03751836448462	-1.037993983	0.4741918283	1.437993983
--45	-10	2.07813280568558	-1.058171432	0.3428850340	1.458171432
--45	-15	2.11896612504859	-1.072144491	0.2055400725	1.472144491
--45	-20	2.16009721360295	-1.079215301	0.06160966031	1.479215301
--45	-25	2.20155389868971	-1.078437965	-0.08940694519	1.478437965
--45	-30	2.24328795660552	-1.068576695	-0.2478831503	1.468576695
--45	-35	2.28514362210549	-1.048066433	-0.4139470323	1.448066433
--45	-40	2.32680914480939	-1.014980113	-0.5873092913	1.414980113
--45	-45	2.36775756373124	-0.9670254668	-0.7670254668	1.367025467
-
-
-### -y patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = 90 + dsigma = 90 + dphi
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--45	-90	2.59900427742893	-1.437773549	-1.237773549	2.250623494e-16
--40	-90	2.61233965422225	-1.279179562	-1.401168276	2.450724323e-16
--35	-90	2.61815032684788	-1.101709334	-1.544663192	2.626454914e-16
--30	-90	2.61635273429018	-0.9081763671	-1.665827933	2.774838926e-16
--25	-90	2.60697009894198	-0.7017531716	-1.762717301	2.893494180e-16
--20	-90	2.59012926964309	-0.4858763840	-1.833925362	2.980698903e-16
--15	-90	2.56606839309079	-0.2641473712	-1.878631733	3.035448418e-16
--10	-90	2.53511711623726	-0.04021846741	-1.896602991	3.057456862e-16
--5	-90	2.49768973316303	0.1823119962	-1.888185270	3.047148126e-16
--2.84217e-14	-90	2.45428235284180	0.4000000000	-1.854282353	3.005629028e-16
-5	-90	2.40546083089903	0.6096497254	-1.796307326	2.934630097e-16
-10	-90	2.35185031886087	0.8083945220	-1.716120428	2.836429469e-16
-15	-90	2.29412072015811	0.9937621341	-1.615950452	2.713756628e-16
-20	-90	2.23297728405060	1.163723211	-1.498312276	2.569691413e-16
-25	-90	2.16915617283978	1.316725011	-1.365923131	2.407561469e-16
-30	-90	2.10341141935138	1.451705710	-1.221607724	2.230826068e-16
-35	-90	2.03649055529910	1.568082995	-1.068195402	2.042950159e-16
-40	-90	1.96913589890970	1.665736158	-0.9084456131	1.847313092e-16
-45	-90	1.90206706706404	1.744964521	-0.7449645214	1.647106496e-16
-
--45	-85	2.59640811470584	-1.432434648	-1.232434648	0.1603172583
--40	-85	2.60924918448614	-1.273438958	-1.394326890	0.1744809942
--35	-85	2.61459616185291	-1.095834299	-1.536272773	0.1868996498
--30	-85	2.61239149960057	-0.9024625766	-1.655931358	0.1973684195
--25	-85	2.60267934469070	-0.6964982876	-1.751448166	0.2057250574
--20	-85	2.58560329653952	-0.4813549367	-1.821502787	0.2118540426
--15	-85	2.56141425917983	-0.2605881847	-1.865348668	0.2156900601
--10	-85	2.53044886697535	-0.03778589551	-1.882807190	0.2172174829
--5	-85	2.49312194969148	0.1835307130	-1.874255272	0.2164692870
--2.84217e-14	-85	2.44992235402670	0.4000000000	-1.840599660	0.2135248024
-5	-85	2.40140264687830	0.6085056123	-1.783230054	0.2085056123
-10	-85	2.34816970741017	0.8062502869	-1.703959866	0.2015703695
-15	-85	2.29087209341601	0.9908154185	-1.604953160	0.1929084051
-20	-85	2.23019280867525	1.160206117	-1.488649140	0.1827331218
-25	-85	2.16684522508912	1.312883135	-1.357684200	0.1712751743
-30	-85	2.10156092867562	1.447777281	-1.214803486	0.1587747315
-35	-85	2.03506794554761	1.564280924	-1.062765480	0.1454731296
-40	-85	1.96809358939158	1.662234556	-0.9042725664	0.1316067964
-45	-85	1.90134667492434	1.741889784	-0.7418897839	0.1174001438
-
--45	-80	2.58857438067890	-1.416334934	-1.216334934	0.3202688549
--40	-80	2.59994830077713	-1.256174340	-1.373751719	0.3480256813
--35	-80	2.60392731966050	-1.078211347	-1.511104589	0.3722446981
--30	-80	2.60052700504284	-0.8853635501	-1.626314975	0.3925593976
--25	-80	2.58985182971374	-0.6808048201	-1.717793416	0.4086895150
--20	-80	2.57209882187063	-0.4678768302	-1.784471994	0.4204467473
--15	-80	2.54754982191574	-0.2499941352	-1.825811137	0.4277359536
--10	-80	2.51655878602286	-0.03055268179	-1.841785597	0.4305526818
--5	-80	2.47953978682520	0.1871526281	-1.832856594	0.4289782577
--2.84217e-14	-80	2.43696019534973	0.4000000000	-1.799937294	0.4231736970
-5	-80	2.38933380360424	0.6051039566	-1.744348951	0.4133719723
-10	-80	2.33721538399071	0.7998692012	-1.667770931	0.3998692012
-15	-80	2.28119381976698	0.9820347816	-1.572183377	0.3830145363
-20	-80	2.22188531214002	1.149707890	-1.459805500	0.3631992847
-25	-80	2.15993770479271	1.301391754	-1.333040854	0.3408472573
-30	-80	2.09601760763945	1.435999483	-1.194403741	0.3164017939
-35	-80	2.03079606525632	1.552853140	-1.046444914	0.2903126606
-40	-80	1.96495562192763	1.651682227	-0.8916967909	0.2630263913
-45	-80	1.89917164712162	1.732599068	-0.7325990685	0.2349731702
-
--45	-75	2.57537105776154	-1.389230262	-1.189230262	0.4794228038
--40	-75	2.58435325862751	-1.227263912	-1.339297613	0.5196332294
--35	-75	2.58612776709168	-1.048852249	-1.469175451	0.5544338912
--30	-75	2.58081927487970	-0.8570098973	-1.577205008	0.5833803236
--25	-75	2.56863193908503	-0.6548910499	-1.662221157	0.6061603321
--20	-75	2.54983800119593	-0.4456999894	-1.723541624	0.6225911018
--15	-75	2.52476360347090	-0.2326118557	-1.760939587	0.6326118557
--10	-75	2.49378111420704	-0.01870813821	-1.774611852	0.6362753281
--5	-75	2.45729613620062	0.1930774573	-1.765135485	0.6337361432
--2.84217e-14	-75	2.41573978830206	0.4000000000	-1.733425451	0.6252394652
-5	-75	2.36956473270932	0.5995349084	-1.680694439	0.6111102332
-10	-75	2.31924948379053	0.7894041173	-1.608420491	0.5917444870
-15	-75	2.26528733271945	0.9675967529	-1.518299920	0.5675967529
-20	-75	2.20819331783456	1.132387338	-1.412217673	0.5391721004
-25	-75	2.14851295056743	1.282355719	-1.292217946	0.5070182706
-30	-75	2.08681066194465	1.416398816	-1.160454390	0.4717123322
-35	-75	2.02366846597034	1.533740044	-1.019148584	0.4338495555
-40	-75	1.95969594119800	1.633942176	-0.8705550214	0.3940340304
-45	-75	1.89550957350421	1.716898814	-0.7168988137	0.3528619736
-
--45	-70	2.55658717672489	-1.350728091	-1.150728091	0.6372129133
--40	-70	2.56233868020741	-1.186526037	-1.290748105	0.6881760306
--35	-70	2.56118214393595	-1.007795073	-1.410539727	0.7317766154
--30	-70	2.55338637662693	-0.8176358196	-1.509007105	0.7676158100
--25	-70	2.53927461319695	-0.6191278247	-1.585526673	0.7954666552
--20	-70	2.51919745478046	-0.4152515382	-1.639885192	0.8152515382
--15	-70	2.49352942585322	-0.2088422998	-1.672230397	0.8270242297
--10	-70	2.46265425070283	-0.002556449447	-1.683011073	0.8309480751
--5	-70	2.42695543267903	0.2011449319	-1.672923829	0.8272766184
--2.84217e-14	-70	2.38681260971028	0.4000000000	-1.642870197	0.8163379909
-5	-70	2.34260192236023	0.5919434772	-1.593923983	0.7985230262
-10	-70	2.29469944327769	0.7751018074	-1.527308061	0.7742768132
-15	-70	2.24348386121652	0.9477889530	-1.444376205	0.7440920861
-20	-70	2.18934934970501	1.108507553	-1.346608504	0.7085075533
-25	-70	2.13270982294050	1.255954654	-1.235600679	0.6681040091
-30	-70	2.07399884052755	1.389029824	-1.113049905	0.6234991752
-35	-70	2.01368484897604	1.506854354	-0.9807518398	0.5753466175
-40	-70	1.95227565578847	1.608792649	-0.8405829817	0.5243293253
-45	-70	1.89030556154181	1.694464385	-0.6944643847	0.4711465053
-
--45	-65	2.53194034216253	-1.300306647	-1.100306647	0.7928660106
--40	-65	2.53375133684844	-1.133747334	-1.227848895	0.8523399378
--35	-65	2.52910221068658	-0.9551367505	-1.335335849	0.9024619275
--30	-65	2.51842515138586	-0.7675993966	-1.422341478	0.9430333185
--25	-65	2.50215256243919	-0.5740420046	-1.488839820	0.9740420046
--20	-65	2.48071132898577	-0.3771208097	-1.535121877	0.9956236822
--15	-65	2.45450737348419	-0.1792285699	-1.561710452	1.008022139
--10	-65	2.42391671194842	0.01749574470	-1.569289429	1.011556273
--5	-65	2.38928407021397	0.2111424661	-1.558651490	1.006595721
--2.84217e-14	-65	2.35092291042882	0.4000000000	-1.530659740	0.9935429539
-5	-65	2.30911954369633	0.5825210438	-1.486225077	0.9728227300
-10	-65	2.26414065880608	0.7572909219	-1.426297510	0.9448780464
-15	-65	2.21624172759417	0.9230012915	-1.351867392	0.9101707128
-20	-65	2.16568131970875	1.078432835	-1.263978896	0.8691876337
-25	-65	2.11272795927555	1.222446164	-1.163741490	0.8224461639
-30	-65	2.05767410246398	1.353984691	-1.052349955	0.7705034379
-35	-65	2.00085336064228	1.472091871	-0.9311058688	0.7139663921
-40	-65	1.94264765735405	1.575936494	-0.8014265420	0.6534959289
-45	-65	1.88348792812449	1.664843010	-0.6648430099	0.5898059819
-
--45	-60	2.50109286287242	-1.237349623	-1.037349623	0.9453242459
--40	-60	2.49843468542816	-1.068727024	-1.150360707	1.010571225
--35	-60	2.48995328875806	-0.8910716375	-1.243841386	1.064542320
--30	-60	2.47622018913281	-0.7073993340	-1.318071911	1.107399334
--25	-60	2.45776706019874	-0.5203196790	-1.373631921	1.139476921
--20	-60	2.43506111954704	-0.3320440928	-1.411274615	1.161209940
--15	-60	2.40851009127890	-0.1444307589	-1.431843253	1.173085249
--10	-60	2.37845978391032	0.04096249020	-1.436202902	1.175602294
--5	-60	2.34519747547382	0.2228183183	-1.425195889	1.169247392
--2.84217e-14	-60	2.30895802334599	0.4000000000	-1.399616304	1.154479012
-5	-60	2.26993221119268	0.5714953264	-1.360200550	1.131722315
-10	-60	2.22827623759420	0.7363667349	-1.307630548	1.101371010
-15	-60	2.18412493454778	0.8937097004	-1.242549686	1.063796557
-20	-60	2.13760068710745	1.042619581	-1.165582787	1.019359698
-25	-60	2.08883266016881	1.182170871	-1.077370847	0.9684305099
-30	-60	2.03796979822818	1.311407801	-0.9786046177	0.9114078010
-35	-60	1.98520270194403	1.429352203	-0.8700672969	0.8487437496
-40	-60	1.93076606962282	1.535017985	-0.7526617617	0.7809596322
-45	-60	1.87497082631299	1.627456534	-0.6274565339	0.7086723603
-
--45	-55	2.46367554776604	-1.161199842	-0.9611998424	1.093163898
--40	-55	2.45626096979697	-0.9913366949	-1.058130505	1.161035479
--35	-55	2.44386872468898	-0.8159293178	-1.136527032	1.215929318
--30	-55	2.42717162593448	-0.6377009586	-1.197350783	1.258518567
--25	-55	2.40674226725419	-0.4588001135	-1.241702787	1.289574174
--20	-55	2.38305106208876	-0.2808813050	-1.270706011	1.309882451
--15	-55	2.35647124701088	-0.1051983663	-1.285425971	1.320189478
--10	-55	2.32728961344548	0.06730207369	-1.286823701	1.321168179
--5	-55	2.29571818118753	0.2358947625	-1.275731448	1.313401300
--2.84217e-14	-55	2.26190549995498	0.4000000000	-1.252844514	1.297375696
-5	-55	2.22594820636645	0.5591178578	-1.218725437	1.273485261
-10	-55	2.18789842110817	0.7127712441	-1.173813870	1.242037843
-15	-55	2.14777913158784	0.8604573512	-1.118450229	1.203271805
-20	-55	2.10559904427542	1.001608185	-1.052904905	1.157376474
-25	-55	2.06135911759420	1.135556718	-0.9774064731	1.104511903
-30	-55	2.01507567172594	1.261515491	-0.8921886027	1.044841708
-35	-55	1.96679176200217	1.378563104	-0.7975329467	0.9785631042
-40	-55	1.91659926906491	1.485648034	-0.6938249446	0.9059459793
-45	-55	1.86466715417752	1.581615846	-0.5816158463	0.8273763228
-
--45	-50	2.41933017837961	-1.071244042	-0.8712440416	1.234520333
--40	-50	2.40717193967277	-0.9015968713	-0.9511827475	1.301596871
--35	-50	2.39109010593981	-0.7302302483	-1.014136076	1.354420986
--30	-50	2.37178721234164	-0.5593446343	-1.061633649	1.394276182
--25	-50	2.34981416920079	-0.3904644918	-1.095156573	1.422405255
--20	-50	2.32558707066861	-0.2245908441	-1.116049241	1.439936285
--15	-50	2.29940671371459	-0.06233932311	-1.125473844	1.447844466
--10	-50	2.27147625963117	0.09594315680	-1.124392047	1.446936731
--5	-50	2.24191898677931	0.2500824467	-1.113565476	1.437852159
--2.84217e-14	-50	2.21079676252597	0.4000000000	-1.093568575	1.421072766
-5	-50	2.17811744379153	0.5456511319	-1.064800056	1.396933113
-10	-50	2.14384525988186	0.6869723244	-1.027500926	1.365635427
-15	-50	2.10791346573459	0.8238359743	-0.9817773903	1.327268825
-20	-50	2.07023454549492	0.9560099463	-0.9276247725	1.281829383
-25	-50	2.03070900026959	1.083119278	-0.8649540184	1.229242377
-30	-50	1.98923549420829	1.204609447	-0.7936244428	1.169389756
-35	-50	1.94572890312658	1.319715094	-0.7134892781	1.102148369
-40	-50	1.90014597379797	1.427439716	-0.6244549730	1.027439716
-45	-50	1.85249753411265	1.526541546	-0.5265415459	0.9452805957
-
--45	-45	2.36775744291210	-0.9670253970	-0.7670253970	1.367025397
--40	-45	2.35122736001826	-0.7997692621	-0.8298293283	1.429829328
--35	-45	2.33199740327236	-0.6347366456	-0.8777570780	1.477757078
--30	-45	2.31071106904199	-0.4733666915	-0.9127154833	1.512715483
--25	-45	2.28782498980576	-0.3164223589	-0.9363727067	1.536372707
--20	-45	2.26364796465542	-0.1641996985	-0.9501259317	1.550125932
--15	-45	2.23837347624955	-0.01668841645	-0.9551023411	1.555102341
--10	-45	2.21210448241511	0.1263095182	-0.9521758536	1.552175854
--5	-45	2.18487289006809	0.2650933074	-0.9419905528	1.541990553
--2.84217e-14	-45	2.15665706801251	0.4000000000	-0.9249868375	1.524986837
-5	-45	2.12739117119650	0.5313574388	-0.9014223954	1.501422395
-10	-45	2.09697099963402	0.6594457033	-0.8713897003	1.471389700
-15	-45	2.06526432425660	0.7844629728	-0.8348353480	1.434835348
-20	-45	2.03211334711647	0.9064911840	-0.7915730912	1.391573091
-25	-45	1.99734160491551	1.025458761	-0.7413006420	1.341300642
-30	-45	1.96076194580674	1.141098356	-0.6836200052	1.283620005
-35	-45	1.92218823347371	1.252899151	-0.6180662222	1.218066222
-40	-45	1.88144863157372	1.360053577	-0.5441472989	1.144147299
-45	-45	1.83841418408202	1.461408924	-0.4614089241	1.061408924
-
-
diff --git a/test/checkpoint2/h.t1.ah2.gp b/test/checkpoint2/h.t1.ah2.gp
deleted file mode 100644
index 08af807..0000000
--- a/test/checkpoint2/h.t1.ah2.gp
+++ /dev/null
@@ -1,1228 +0,0 @@
-# N_patches = 5
-# origin = 0 0 0
-
-### +z patch
-# N_rho = 19
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = dsigma = dnu
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--45	-45	1.86328023755528	-1.075765347	-1.075765347	1.075765347
--40	-45	1.85966093611595	-0.9489358906	-1.130897757	1.130897757
--35	-45	1.85651946617517	-0.8237610909	-1.176452760	1.176452760
--30	-45	1.85385171345408	-0.7006900859	-1.213630829	1.213630829
--25	-45	1.85164271339304	-0.5798337926	-1.243457581	1.243457581
--20	-45	1.84987041636384	-0.4610683054	-1.266774758	1.266774758
--15	-45	1.84851418293391	-0.3441134627	-1.284248926	1.284248926
--10	-45	1.84755557283663	-0.2285870215	-1.296381419	1.296381419
--5	-45	1.84698124548530	-0.1140433077	-1.303520971	1.303520971
-0	-45	1.84678244771638	0.000000000	-1.305872392	1.305872392
-5	-45	1.84695763668091	0.1140418499	-1.303504309	1.303504309
-10	-45	1.84750999097954	0.2285813819	-1.296349436	1.296349436
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-45	-45	1.86328023589512	1.075765346	-1.075765346	1.075765346
-
--45	-40	1.85962155188450	-1.130873806	-0.9489157939	1.130873806
--40	-40	1.85513767649728	-1.003103001	-1.003103001	1.195451605
--35	-40	1.85116354874129	-0.8750155555	-1.048582299	1.249651721
--30	-40	1.84772858400636	-0.7473724850	-1.086203662	1.294487116
--25	-40	1.84484172655623	-0.6205945546	-1.116731953	1.330869317
--20	-40	1.84249852628003	-0.4948461076	-1.140821824	1.359578507
--15	-40	1.84068977780595	-0.3701055846	-1.159008753	1.381252846
--10	-40	1.83940436061826	-0.2462202635	-1.171705722	1.396384504
--5	-40	1.83863342027133	-0.1229497700	-1.179205425	1.405322302
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-45	-40	1.85966093542650	1.130897756	-0.9489358903	1.130897756
-
--45	-35	1.85645368158410	-1.176411073	-0.8237319015	1.176411073
--40	-35	1.85113458551938	-1.048565893	-0.8750018650	1.249632169
--35	-35	1.84633320286101	-0.9186298139	-0.9186298139	1.311939338
--30	-35	1.84211619081088	-0.7875692500	-0.9551600737	1.364109955
--25	-35	1.83852227434850	-0.6560416374	-0.9851120647	1.406885832
--20	-35	1.83557264552341	-0.5244567010	-1.008952109	1.440932943
--15	-35	1.83327594752076	-0.3930317481	-1.027074537	1.466814453
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--5	-35	1.83064760697858	-0.1308605136	-1.047330184	1.495742515
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-45	-35	1.85651946578227	1.176452760	-0.8237610908	1.176452760
-
--45	-30	1.85377248864497	-1.213578964	-0.7006601417	1.213578964
--40	-30	1.84768126205758	-1.086175843	-0.7473533441	1.294453963
--35	-30	1.84209566503446	-0.9551494309	-0.7875604745	1.364094756
--30	-30	1.83711926669919	-0.8215847126	-0.8215847126	1.423026465
--25	-30	1.83282595186832	-0.6863082425	-0.8497399552	1.471792776
--20	-30	1.82926646023634	-0.5499261171	-0.8723240579	1.510909589
--15	-30	1.82647207539050	-0.4128641942	-0.8895987016	1.540830149
--10	-30	1.82446345619416	-0.2754096666	-0.9017783013	1.561925835
--5	-30	1.82325231863030	-0.1377482772	-0.9090206859	1.574470013
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-45	-30	1.85385171319170	1.213630829	-0.7006900858	1.213630829
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--45	-25	1.85155979550425	-1.243401898	-0.5798078272	1.243401898
--40	-25	1.84478573104636	-1.116698058	-0.6205757180	1.330828922
--35	-25	1.83849030536223	-0.9850949352	-0.6560302299	1.406861368
--30	-25	1.83281303468262	-0.8497339665	-0.6863034056	1.471782403
--25	-25	1.82786289599631	-0.7115534305	-0.7115534305	1.525931256
--20	-25	1.82372113289804	-0.5713085706	-0.7319432650	1.569657397
--15	-25	1.82044669086838	-0.4295993342	-0.7476247927	1.603286542
--10	-25	1.81808101235694	-0.2869008330	-0.7587270820	1.627095478
--5	-25	1.81665027864478	-0.1435945168	-0.7653474193	1.641292837
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--45	-20	1.84979352298900	-1.266722102	-0.4610491403	1.266722102
--40	-20	1.84244341196743	-1.140787698	-0.4948313054	1.359537838
--35	-20	1.83553717674921	-1.008932613	-0.5244465669	1.440905100
--30	-20	1.82924679616063	-0.8723146807	-0.5499202055	1.510893347
--25	-20	1.82371317927377	-0.7319400728	-0.5713060790	1.569650552
--20	-20	1.81904859181297	-0.5886724598	-0.5886724598	1.617364291
--15	-20	1.81533873950429	-0.4432492360	-0.6020899963	1.654228669
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--45	-15	1.84845019479342	-1.284204471	-0.3441015509	1.284204471
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--20	-15	1.81533508365190	-0.6020887838	-0.4432483434	1.654225338
--15	-15	1.81125849084186	-0.4538340118	-0.4538340118	1.693731590
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--45	-10	1.84750999110346	-1.296349436	-0.2285813819	1.296349436
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--35	-10	1.83160965250657	-1.039777935	-0.2618379465	1.484956785
--30	-10	1.82444724271197	-0.9017702874	-0.2754072191	1.561911955
--25	-10	1.81807195170556	-0.7587233007	-0.2868994032	1.627087369
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--15	-10	1.80828787582853	-0.4613752806	-0.3036131942	1.721875989
--10	-10	1.80510723090738	-0.3088319508	-0.3088319508	1.751473028
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--45	-5	1.84695763676769	-1.303504309	-0.1140418499	1.303504309
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--45	0	1.84678244776698	-1.305872392	0.000000000	1.305872392
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--45	5	1.84698124549889	-1.303520971	0.1140433077	1.303520971
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--45	10	1.84755557281038	-1.296381419	0.2285870215	1.296381419
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-15	10	1.80828787582846	0.4613752806	0.3036131942	1.721875989
-20	10	1.81264250879168	0.6116213038	0.2963026305	1.680415721
-25	10	1.81807195170552	0.7587233007	0.2868994032	1.627087369
-30	10	1.82444724271195	0.9017702874	0.2754072191	1.561911955
-35	10	1.83160965250656	1.039777935	0.2618379465	1.484956785
-40	10	1.83936938783202	1.171683445	0.2462155821	1.396357955
-45	10	1.84750999110345	1.296349436	0.2285813819	1.296349436
-
--45	15	1.84851418286356	-1.284248926	0.3441134627	1.284248926
--40	15	1.84068977771583	-1.159008753	0.3701055845	1.381252846
--35	15	1.83327594741900	-1.027074537	0.3930317481	1.466814453
--30	15	1.82647207528682	-0.8895987015	0.4128641942	1.540830149
--25	15	1.82044669077133	-0.7476247927	0.4295993341	1.603286542
--20	15	1.81533873942017	-0.6020899963	0.4432492360	1.654228669
--15	15	1.81125849077385	-0.4538340118	0.4538340118	1.693731590
--10	15	1.80828787577895	-0.3036131942	0.4613752806	1.721875989
--5	15	1.80648251687446	-0.1521192135	0.4658914513	1.738730567
-0	15	1.80587734001751	0.000000000	0.4673954487	1.744343562
-5	15	1.80648363351677	0.1521193076	0.4658917392	1.738731642
-10	15	1.80828908820508	0.3036133978	0.4613755900	1.721877143
-15	15	1.81125849084176	0.4538340118	0.4538340118	1.693731590
-20	15	1.81533508365183	0.6020887838	0.4432483434	1.654225338
-25	15	1.82043607202537	0.7476204318	0.4295968283	1.603277190
-30	15	1.82645156646589	0.8895887125	0.4128595583	1.540812848
-35	15	1.83324297087028	1.027056062	0.3930246784	1.466788068
-40	15	1.84064177675595	1.158978529	0.3700959330	1.381216826
-45	15	1.84845019479341	1.284204471	0.3441015509	1.284204471
-
--45	20	1.84987041624319	-1.266774758	0.4610683054	1.266774758
--40	20	1.84249852613187	-1.140821823	0.4948461076	1.359578507
--35	20	1.83557264536175	-1.008952109	0.5244567009	1.440932943
--30	20	1.82926646007723	-0.8723240579	0.5499261170	1.510909589
--25	20	1.82372113275415	-0.7319432649	0.5713085705	1.569657397
--20	20	1.81904859169166	-0.5886724598	0.5886724598	1.617364291
--15	20	1.81533508355592	-0.4432483434	0.6020887837	1.654225338
--10	20	1.81264250872234	-0.2963026305	0.6116213037	1.680415721
--5	20	1.81101098182971	-0.1483870314	0.6173195522	1.696071530
-0	20	1.81046539792599	0.000000000	0.6192156349	1.701280975
-5	20	1.81101364286272	0.1483872495	0.6173204593	1.696074022
-10	20	1.81264650179585	0.2963032832	0.6116226511	1.680419423
-15	20	1.81533873950418	0.4432492360	0.6020899963	1.654228669
-20	20	1.81904859181290	0.5886724598	0.5886724598	1.617364291
-25	20	1.82371317927371	0.7319400728	0.5713060790	1.569650552
-30	20	1.82924679616059	0.8723146807	0.5499202055	1.510893347
-35	20	1.83553717674918	1.008932613	0.5244465669	1.440905100
-40	20	1.84244341196741	1.140787698	0.4948313054	1.359537838
-45	20	1.84979352298898	1.266722102	0.4610491403	1.266722102
-
--45	25	1.85164271321161	-1.243457581	0.5798337925	1.243457581
--40	25	1.84484172633458	-1.116731953	0.6205945545	1.330869317
--35	25	1.83852227411282	-0.9851120646	0.6560416373	1.406885831
--30	25	1.83282595164553	-0.8497399551	0.6863082424	1.471792776
--25	25	1.82786289580251	-0.7115534304	0.7115534304	1.525931256
--20	25	1.82371317911464	-0.5713060789	0.7319400728	1.569650551
--15	25	1.82043607190127	-0.4295968282	0.7476204317	1.603277190
--10	25	1.81807195161637	-0.2868994031	0.7587233007	1.627087369
--5	25	1.81664495354530	-0.1435940959	0.7653451758	1.641288026
-0	25	1.81616955911947	0.000000000	0.7675464221	1.646008614
-5	25	1.81665027864456	0.1435945168	0.7653474193	1.641292837
-10	25	1.81808101235679	0.2869008330	0.7587270820	1.627095478
-15	25	1.82044669086828	0.4295993342	0.7476247927	1.603286542
-20	25	1.82372113289797	0.5713085706	0.7319432650	1.569657397
-25	25	1.82786289599626	0.7115534305	0.7115534305	1.525931256
-30	25	1.83281303468258	0.8497339665	0.6863034056	1.471782403
-35	25	1.83849030536220	0.9850949352	0.6560302299	1.406861368
-40	25	1.84478573104634	1.116698058	0.6205757180	1.330828922
-45	25	1.85155979550424	1.243401898	0.5798078272	1.243401898
-
--45	30	1.85385171319169	-1.213630829	0.7006900858	1.213630829
--40	30	1.84772858368183	-1.086203662	0.7473724849	1.294487116
--35	30	1.84211619048065	-0.9551600736	0.7875692498	1.364109955
--30	30	1.83711926640617	-0.8215847125	0.8215847125	1.423026465
--25	30	1.83281303443991	-0.6863034055	0.8497339664	1.471782403
--20	30	1.82924679596716	-0.5499202055	0.8723146806	1.510893347
--15	30	1.82645156631730	-0.4128595583	0.8895887124	1.540812848
--10	30	1.82444724260491	-0.2754072191	0.9017702874	1.561911954
--5	30	1.82324329702446	-0.1377475956	0.9090161880	1.574462222
-0	30	1.82284451657311	0.000000000	0.9114222583	1.578629659
-5	30	1.82325231863015	0.1377482772	0.9090206859	1.574470013
-10	30	1.82446345619406	0.2754096666	0.9017783013	1.561925835
-15	30	1.82647207539043	0.4128641942	0.8895987016	1.540830149
-20	30	1.82926646023628	0.5499261171	0.8723240579	1.510909589
-25	30	1.83282595186828	0.6863082425	0.8497399552	1.471792776
-30	30	1.83711926669915	0.8215847126	0.8215847126	1.423026465
-35	30	1.84209566503444	0.9551494309	0.7875604745	1.364094756
-40	30	1.84768126205757	1.086175843	0.7473533441	1.294453963
-45	30	1.85377248864496	1.213578964	0.7006601417	1.213578964
-
--45	35	1.85651946578225	-1.176452760	0.8237610908	1.176452760
--40	35	1.85116354825509	-1.048582298	0.8750155553	1.249651721
--35	35	1.84633320241733	-0.9186298137	0.9186298137	1.311939337
--30	35	1.84209566467852	-0.7875604743	0.9551494307	1.364094756
--25	35	1.83849030508362	-0.6560302298	0.9850949350	1.406861368
--20	35	1.83553717653257	-0.5244465668	1.008932613	1.440905100
--15	35	1.83324297070501	-0.3930246783	1.027056062	1.466788068
--10	35	1.83160965238662	-0.2618379464	1.039777935	1.484956785
--5	35	1.83063426218968	-0.1308595597	1.047322550	1.495731612
-0	35	1.83031389859581	0.000000000	1.049824923	1.499305372
-5	35	1.83064760697857	0.1308605136	1.047330184	1.495742515
-10	35	1.83163443774079	0.2618414896	1.039792005	1.484976880
-15	35	1.83327594752073	0.3930317481	1.027074537	1.466814453
-20	35	1.83557264552338	0.5244567010	1.008952109	1.440932943
-25	35	1.83852227434847	0.6560416374	0.9851120647	1.406885832
-30	35	1.84211619081086	0.7875692500	0.9551600737	1.364109955
-35	35	1.84633320286099	0.9186298139	0.9186298139	1.311939338
-40	35	1.85113458551936	1.048565893	0.8750018650	1.249632169
-45	35	1.85645368158409	1.176411073	0.8237319015	1.176411073
-
--45	40	1.85966093542649	-1.130897756	0.9489358903	1.130897756
--40	40	1.85513767576465	-1.003103000	1.003103000	1.195451604
--35	40	1.85113458499946	-0.8750018648	1.048565892	1.249632169
--30	40	1.84768126168041	-0.7473533440	1.086175843	1.294453963
--25	40	1.84478573075989	-0.6205757179	1.116698057	1.330828922
--20	40	1.84244341174552	-0.4948313053	1.140787698	1.359537838
--15	40	1.84064177658565	-0.3700959330	1.158978529	1.381216826
--10	40	1.83936938770644	-0.2462155821	1.171683445	1.396357955
--5	40	1.83861501713912	-0.1229485394	1.179193623	1.405308236
-0	40	1.83837051342795	0.000000000	1.181681788	1.408273516
-5	40	1.83863342027145	0.1229497700	1.179205425	1.405322302
-10	40	1.83940436061831	0.2462202635	1.171705722	1.396384504
-15	40	1.84068977780597	0.3701055846	1.159008753	1.381252846
-20	40	1.84249852628003	0.4948461076	1.140821824	1.359578507
-25	40	1.84484172655622	0.6205945546	1.116731953	1.330869317
-30	40	1.84772858400635	0.7473724850	1.086203662	1.294487116
-35	40	1.85116354874128	0.8750155555	1.048582299	1.249651721
-40	40	1.85513767649727	1.003103001	1.003103001	1.195451605
-45	40	1.85962155188449	1.130873806	0.9489157939	1.130873806
-
--45	45	1.86328023589511	-1.075765346	1.075765346	1.075765346
--40	45	1.85962155115010	-0.9489157935	1.130873806	1.130873806
--35	45	1.85645368112925	-0.8237319013	1.176411073	1.176411073
--30	45	1.85377248830966	-0.7006601416	1.213578964	1.213578964
--25	45	1.85155979524144	-0.5798078271	1.243401898	1.243401898
--20	45	1.84979352278024	-0.4610491402	1.266722102	1.266722102
--15	45	1.84845019462963	-0.3441015508	1.284204471	1.284204471
--10	45	1.84750999097960	-0.2285813819	1.296349436	1.296349436
--5	45	1.84695763668102	-0.1140418499	1.303504309	1.303504309
-0	45	1.84678244771656	0.000000000	1.305872392	1.305872392
-5	45	1.84698124548542	0.1140433077	1.303520971	1.303520971
-10	45	1.84755557283670	0.2285870215	1.296381419	1.296381419
-15	45	1.84851418293395	0.3441134627	1.284248926	1.284248926
-20	45	1.84987041636386	0.4610683054	1.266774758	1.266774758
-25	45	1.85164271339305	0.5798337926	1.243457581	1.243457581
-30	45	1.85385171345409	0.7006900859	1.213630829	1.213630829
-35	45	1.85651946617517	0.8237610909	1.176452760	1.176452760
-40	45	1.85966093611595	0.9489358906	1.130897757	1.130897757
-45	45	1.86328023755528	1.075765347	1.075765347	1.075765347
-
-
-### +x patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = drho = dnu
-# dpy = dsigma = dphi
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-45	1.86328011361551	1.075765275	-1.075765275	1.075765275
-45	-40	1.85966081890512	1.130897686	-0.9489358308	1.130897686
-45	-35	1.85651943994601	1.176452743	-0.8237610793	1.176452743
-45	-30	1.85385162873313	1.213630774	-0.7006900539	1.213630774
-45	-25	1.85164268270318	1.243457560	-0.5798337830	1.243457560
-45	-20	1.84987039960324	1.266774747	-0.4610683013	1.266774747
-45	-15	1.84851418005440	1.284248924	-0.3441134621	1.284248924
-45	-10	1.84755557277868	1.296381419	-0.2285870215	1.296381419
-45	-5	1.84698124596385	1.303520972	-0.1140433077	1.303520972
-45	0	1.84678244814816	1.305872392	0.000000000	1.305872392
-45	5	1.84695763745610	1.303504310	0.1140418500	1.303504310
-45	10	1.84750999217704	1.296349436	0.2285813821	1.296349436
-45	15	1.84845019170008	1.284204469	0.3441015503	1.284204469
-45	20	1.84979351801288	1.266722099	0.4610491390	1.266722099
-45	25	1.85155975832131	1.243401873	0.5798078156	1.243401873
-45	30	1.85377242766033	1.213578924	0.7006601187	1.213578924
-45	35	1.85645363290664	1.176411042	0.8237318799	1.176411042
-45	40	1.85962141818020	1.130873725	0.9489157257	1.130873725
-45	45	1.86328014627211	1.075765294	1.075765294	1.075765294
-
-50	-45	1.87060825632835	1.137555046	-1.137555046	0.9545220192
-50	-40	1.86740961166870	1.203359646	-1.009738635	1.009738635
-50	-35	1.86456408810590	1.258697928	-0.8813497772	1.056172967
-50	-30	1.86209563589210	1.304552428	-0.7531836952	1.094649461
-50	-25	1.86001492640561	1.341815268	-0.6256987351	1.125916696
-50	-20	1.85831993597061	1.371253115	-0.4990953175	1.150617983
-50	-15	1.85700632428916	1.393496775	-0.3733863356	1.169282630
-50	-10	1.85606776406605	1.409034533	-0.2484508049	1.182320357
-50	-5	1.85549986638464	1.418213829	-0.1240776325	1.190022701
-50	0	1.85529908168089	1.421241552	0.000000000	1.192563262
-50	5	1.85546606015049	1.418187990	0.1240753719	1.190001020
-50	10	1.85600290811243	1.408985298	0.2484421234	1.182279044
-50	15	1.85691565277468	1.393428736	0.3733681044	1.169225538
-50	20	1.85821246816193	1.371173815	0.4990664545	1.150551442
-50	25	1.85990016607603	1.341732480	0.6256601304	1.125847229
-50	30	1.86198740059327	1.304476600	0.7531399160	1.094585834
-50	35	1.86447649182077	1.258638795	0.8813083719	1.056123348
-50	40	1.86735810698765	1.203326456	1.009710785	1.009710785
-50	45	1.87060824591195	1.137555039	1.137555039	0.9545220139
-
-55	-45	1.87704334068148	1.189458478	-1.189458478	0.8328677928
-55	-40	1.87437510291444	1.265320979	-1.061730367	0.8859872878
-55	-35	1.87194900599122	1.330141025	-0.9313747727	0.9313747727
-55	-30	1.86980326553428	1.384612579	-0.7994064450	0.9695161651
-55	-25	1.86796034393548	1.429412620	-0.6665460516	1.000885492
-55	-20	1.86643585107752	1.465160701	-0.5332748837	1.025916568
-55	-15	1.86523828971730	1.492387704	-0.3998840800	1.044981120
-55	-10	1.86437253583391	1.511518922	-0.2665215678	1.058376943
-55	-5	1.86384274575098	1.522864819	-0.1332334077	1.066321426
-55	0	1.86365008320891	1.526612775	0.000000000	1.068945773
-55	5	1.86379727769197	1.522827669	0.1332301575	1.066295413
-55	10	1.86428581018585	1.511448610	0.2665091699	1.058327711
-55	15	1.86511711191982	1.492290749	0.3998581010	1.044913231
-55	20	1.86629306770494	1.465048616	0.5332340879	1.025838085
-55	25	1.86781043050388	1.429297903	0.6664925578	1.000805166
-55	30	1.86966315733827	1.384508827	0.7993465439	0.9694435173
-55	35	1.87183843271997	1.330062456	0.9313197577	0.9313197577
-55	40	1.87431159013116	1.265278104	1.061694390	0.8859572664
-55	45	1.87704329473302	1.189458449	1.189458449	0.8328677724
-
-60	-45	1.88255734875472	1.232423079	-1.232423079	0.7115397962
-60	-40	1.88046893610587	1.317424448	-1.105450369	0.7606153598
-60	-35	1.87853269683118	1.391076831	-0.9740424834	0.8031385829
-60	-30	1.87678564568094	1.453751910	-0.8393240566	0.8393240566
-60	-25	1.87525821674497	1.505866661	-0.7021971561	0.8694125220
-60	-20	1.87397689072748	1.547838828	-0.5633672608	0.8936451640
-60	-15	1.87295607737478	1.580044519	-0.4233716530	0.9122391286
-60	-10	1.87220860346736	1.602800525	-0.2826169773	0.9253773148
-60	-5	1.87174415727407	1.616345153	-0.1414118772	0.9331973092
-60	0	1.87156833149513	1.620825720	0.000000000	0.9357841657
-60	5	1.87168557079942	1.616294561	0.1414074510	0.9331680996
-60	10	1.87209758495368	1.602705482	0.2826002187	0.9253224416
-60	15	1.87280205243265	1.579914582	0.4233368365	0.9121641095
-60	20	1.87379718335092	1.547690396	0.5633132360	0.8935594668
-60	25	1.87507350205045	1.505718332	0.7021279890	0.8693268840
-60	30	1.87661405284380	1.453618995	0.8392473179	0.8392473179
-60	35	1.87839864222773	1.390977562	0.9739729744	0.8030812699
-60	40	1.88039414057751	1.317372048	1.105406399	0.7605851064
-60	45	1.88255737071487	1.232423093	1.232423093	0.7115398045
-
-65	-45	1.88715670218612	1.267306749	-1.267306749	0.5909548424
-65	-40	1.88564241799074	1.360302947	-1.141429701	0.6343196816
-65	-35	1.88421123206294	1.441848230	-1.009592999	0.6723448713
-65	-30	1.88289537151144	1.511999436	-0.8729532813	0.7050569160
-65	-25	1.88172763483038	1.570898463	-0.7325219833	0.7325219833
-65	-20	1.88073118847316	1.618725346	-0.5891678435	0.7548240254
-65	-15	1.87992414213412	1.655668959	-0.4436351604	0.7720511148
-65	-10	1.87932339742245	1.681904481	-0.2965651390	0.7842849398
-65	-5	1.87894269393128	1.697572296	-0.1485183314	0.7915909620
-65	0	1.87879068868771	1.702762631	0.000000000	0.7940112550
-65	5	1.87887139851999	1.697507883	0.1485126960	0.7915609256
-65	10	1.87918881929890	1.681784040	0.2965439020	0.7842287773
-65	15	1.87973775371719	1.655504804	0.4435911754	0.7719745684
-65	20	1.88051393194126	1.618538356	0.5890997845	0.7547368303
-65	25	1.88150624312276	1.570713641	0.7324357996	0.7324357996
-65	30	1.88269484091491	1.511838406	0.8728603107	0.7049818266
-65	35	1.88405576258252	1.441729260	1.009509696	0.6722893950
-65	40	1.88555668073885	1.360241096	1.141377802	0.6342908400
-65	45	1.88715671064439	1.267306755	1.267306755	0.5909548450
-
-70	-45	1.89086281764529	1.294845989	-1.294845989	0.4712853978
-70	-40	1.88987216039518	1.394535482	-1.170154208	0.5075694059
-70	-35	1.88891722066672	1.482808680	-1.038273815	0.5396982225
-70	-30	1.88802313959295	1.559440534	-0.9003434122	0.5675899366
-70	-25	1.88721457894338	1.624305531	-0.7574261085	0.5911988648
-70	-20	1.88651016686565	1.677346164	-0.6105040764	0.6105040764
-70	-15	1.88592833943050	1.718553491	-0.4604850199	0.6255023166
-70	-10	1.88548553620643	1.747945070	-0.3082098767	0.6361999767
-70	-5	1.88519635865387	1.765548583	-0.1544654859	0.6426071314
-70	0	1.88507011316506	1.771386475	0.000000000	0.6447319503
-70	5	1.88511375507396	1.765471222	0.1544587177	0.6425789743
-70	10	1.88533005350299	1.747800930	0.3081844608	0.6361475138
-70	15	1.88571397618842	1.718358152	0.4604326791	0.6254312191
-70	20	1.88625995560239	1.677123695	0.6104231041	0.6104231041
-70	25	1.88696021420508	1.624086602	0.7573240202	0.5911191811
-70	30	1.88779603263745	1.559252952	0.9002351115	0.5675216622
-70	35	1.88874378922987	1.482672535	1.038178486	0.5396486699
-70	40	1.88977717991692	1.394465396	1.170095399	0.5075438967
-70	45	1.89086281771190	1.294845989	1.294845989	0.4712853979
-
-75	-45	1.89370557865390	1.315645494	-1.315645494	0.3525261477
-75	-40	1.89315347096371	1.420621579	-1.192043043	0.3806544049
-75	-35	1.89260771946574	1.514286139	-1.060314570	0.4057517481
-75	-30	1.89208472146813	1.596181635	-0.9215558968	0.4276955802
-75	-25	1.89159799403373	1.665950243	-0.7768453563	0.4463900222
-75	-20	1.89116149899327	1.723322211	-0.6272379888	0.4617627947
-75	-15	1.89078812996130	1.768100800	-0.4737611814	0.4737611814
-75	-10	1.89049395855561	1.800153724	-0.3174156710	0.4823497366
-75	-5	1.89029234541360	1.819397116	-0.1591766221	0.4875059880
-75	0	1.89019210096486	1.825785367	0.000000000	0.4892177146
-75	5	1.89020071517017	1.819308922	0.1591689062	0.4874823565
-75	10	1.89032143138826	1.799989442	0.3173867035	0.4823057172
-75	15	1.89055088893990	1.767878953	0.4737017377	0.4737017377
-75	20	1.89088482161789	1.723070088	0.6271462237	0.4616952387
-75	25	1.89131734600021	1.665703073	0.7767300992	0.4463237933
-75	30	1.89183536862189	1.595971279	0.9214344474	0.4276392153
-75	35	1.89242034066504	1.514136216	1.060209593	0.4057115764
-75	40	1.89305134801277	1.420544946	1.191978741	0.3806338712
-75	45	1.89370557465834	1.315645492	1.315645492	0.3525261470
-
-80	-45	1.89571294065706	1.330172185	-1.330172185	0.2345452451
-80	-40	1.89549015392581	1.438962055	-1.207432530	0.2537278345
-80	-35	1.89525786309659	1.536558851	-1.075910091	0.2709367830
-80	-30	1.89502275034260	1.622331750	-0.9366536725	0.2860608592
-80	-25	1.89478978361933	1.695746156	-0.7907394190	0.2990057998
-80	-20	1.89456641045356	1.756363522	-0.6392640426	0.3096942769
-80	-15	1.89436121607475	1.803836179	-0.4833364474	0.3180649871
-80	-10	1.89418877549110	1.837907739	-0.3240727225	0.3240727225
-80	-5	1.89406008028590	1.858399925	-0.1625889258	0.3276860478
-80	0	1.89398232446037	1.865208477	0.000000000	0.3288865792
-80	5	1.89396257257856	1.858304254	0.1625805556	0.3276691783
-80	10	1.89400501480335	1.837729439	0.3240412833	0.3240412833
-80	15	1.89410850337424	1.803595542	0.4832719690	0.3180225564
-80	20	1.89427065469681	1.756089341	0.6391642488	0.3096459313
-80	25	1.89449017646863	1.695478022	0.7906143861	0.2989585205
-80	30	1.89475706530115	1.622104297	0.9365223523	0.2860207530
-80	35	1.89505932519681	1.536397889	1.075797384	0.2709084010
-80	40	1.89538287524546	1.438880614	1.207364193	0.2537134743
-80	45	1.89571293697476	1.330172182	1.330172182	0.2345452447
-
-85	-45	1.89690795938565	1.338757127	-1.338757127	0.1171260718
-85	-40	1.89688856376149	1.449848444	-1.216567295	0.1268453027
-85	-35	1.89685196687671	1.549835217	-1.085206302	0.1355930119
-85	-30	1.89679823959312	1.637980612	-0.9456885474	0.1433047346
-85	-25	1.89672758328917	1.713640448	-0.7990836640	0.1499241125
-85	-20	1.89664069814890	1.776266585	-0.6465081649	0.1554031895
-85	-15	1.89654480666974	1.825415079	-0.4891184964	0.1597031257
-85	-10	1.89645264050114	1.860747440	-0.3280999780	0.1627943067
-85	-5	1.89637267291846	1.882021890	-0.1646555799	0.1646555799
-85	0	1.89631028464589	1.889094252	0.000000000	0.1652743313
-85	5	1.89627201273390	1.881921992	0.1646468399	0.1646468399
-85	10	1.89626293326599	1.860561305	0.3280671573	0.1627780219
-85	15	1.89628372220108	1.825163787	0.4890511627	0.1596811404
-85	20	1.89633363763013	1.775979012	0.6464034971	0.1553780302
-85	25	1.89641508010772	1.713358110	0.7989520077	0.1498994112
-85	30	1.89652251538007	1.637742511	0.9455510793	0.1432839034
-85	35	1.89664645491337	1.549667303	1.085088727	0.1355783212
-85	40	1.89677823793983	1.449764119	1.216496537	0.1268379252
-85	45	1.89690795643056	1.338757125	1.338757125	0.1171260716
-
-90	-45	1.89730387139500	1.341596433	-1.341596433	0.000000000
-90	-40	1.89735328668661	1.453456942	-1.219595184	0.000000000
-90	-35	1.89738330499579	1.554245413	-1.088294354	0.000000000
-90	-30	1.89739163282930	1.643189355	-0.9486958164	0.000000000
-90	-25	1.89737673744831	1.719607312	-0.8018660586	0.000000000
-90	-20	1.89733700654017	1.782913584	-0.6489274749	0.000000000
-90	-15	1.89727908056833	1.832630864	-0.4910519599	0.000000000
-90	-10	1.89721501947646	1.868392060	-0.3294479308	0.000000000
-90	-5	1.89715222644554	1.889932989	-0.1653477114	0.000000000
-90	0	1.89709530261588	1.897095303	0.000000000	0.000000000
-90	5	1.89705057384327	1.889831724	0.1653388518	0.000000000
-90	10	1.89702348976693	1.868203440	0.3294146720	0.000000000
-90	15	1.89701542517315	1.832376192	0.4909837209	0.000000000
-90	20	1.89702628649866	1.782621603	0.6488212024	0.000000000
-90	25	1.89705995031391	1.719320205	0.8017321786	0.000000000
-90	30	1.89711256795921	1.642947678	0.9485562840	0.000000000
-90	35	1.89717544316135	1.554075143	1.088175130	0.000000000
-90	40	1.89724195635286	1.453371658	1.219523622	0.000000000
-90	45	1.89730386944125	1.341596432	1.341596432	0.000000000
-
-
-### +y patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = 90 - dsigma = 90 - dphi
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
-45	45	1.86328011413454	1.075765275	1.075765275	1.075765275
-40	45	1.85966081936152	0.9489358311	1.130897686	1.130897686
-35	45	1.85651944029104	0.8237610795	1.176452744	1.176452744
-30	45	1.85385162898460	0.7006900540	1.213630774	1.213630774
-25	45	1.85164268288181	0.5798337830	1.243457560	1.243457560
-20	45	1.84987039972312	0.4610683013	1.266774747	1.266774747
-15	45	1.84851418012456	0.3441134622	1.284248924	1.284248924
-10	45	1.84755557280493	0.2285870215	1.296381419	1.296381419
-5	45	1.84698124595036	0.1140433077	1.303520972	1.303520972
-0	45	1.84678244809775	0.000000000	1.305872392	1.305872392
--5	45	1.84695763736946	-0.1140418500	1.303504310	1.303504310
--10	45	1.84750999205329	-0.2285813821	1.296349436	1.296349436
--15	45	1.84845019153660	-0.3441015502	1.284204468	1.284204468
--20	45	1.84979351780511	-0.4610491390	1.266722099	1.266722099
--25	45	1.85155975806189	-0.5798078155	1.243401873	1.243401873
--30	45	1.85377242733772	-0.7006601186	1.213578924	1.213578924
--35	45	1.85645363250474	-0.8237318797	1.176411042	1.176411042
--40	45	1.85962141769018	-0.9489157254	1.130873725	1.130873725
--45	45	1.86328014575263	-1.075765294	1.075765294	1.075765294
-
-45	50	1.87060825669599	1.137555046	1.137555046	0.9545220194
-40	50	1.86740961203062	1.009738635	1.203359646	1.009738635
-35	50	1.86456408841139	0.8813497774	1.258697928	1.056172967
-30	50	1.86209563612915	0.7531836953	1.304552428	1.094649461
-25	50	1.86001492657880	0.6256987352	1.341815268	1.125916696
-20	50	1.85831993608804	0.4990953175	1.371253115	1.150617983
-15	50	1.85700632435738	0.3733863357	1.393496776	1.169282630
-10	50	1.85606776408963	0.2484508049	1.409034533	1.182320357
-5	50	1.85549986636736	0.1240776325	1.418213829	1.190022701
-0	50	1.85529908162561	0.000000000	1.421241552	1.192563262
--5	50	1.85546606005846	-0.1240753719	1.418187990	1.190001020
--10	50	1.85600290798295	-0.2484421234	1.408985298	1.182279044
--15	50	1.85691565260558	-0.3733681044	1.393428735	1.169225538
--20	50	1.85821246795001	-0.4990664545	1.371173814	1.150551442
--25	50	1.85990016581689	-0.6256601303	1.341732479	1.125847229
--30	50	1.86198740028231	-0.7531399159	1.304476600	1.094585834
--35	50	1.86447649145858	-0.8813083717	1.258638794	1.056123348
--40	50	1.86735810659446	-1.009710785	1.203326456	1.009710785
--45	50	1.87060824554370	-1.137555039	1.137555039	0.9545220137
-
-45	55	1.87704334097105	1.189458478	1.189458478	0.8328677929
-40	55	1.87437510320159	1.061730367	1.265320979	0.8859872880
-35	55	1.87194900624628	0.9313747728	1.330141025	0.9313747728
-30	55	1.86980326574189	0.7994064451	1.384612579	0.9695161652
-25	55	1.86796034409177	0.6665460516	1.429412621	1.000885492
-20	55	1.86643585118479	0.5332748837	1.465160701	1.025916568
-15	55	1.86523828977893	0.3998840800	1.492387704	1.044981120
-10	55	1.86437253585284	0.2665215678	1.511518922	1.058376943
-5	55	1.86384274573019	0.1332334077	1.522864819	1.066321426
-0	55	1.86365008315066	0.000000000	1.526612775	1.068945773
--5	55	1.86379727759762	-0.1332301575	1.522827669	1.066295413
--10	55	1.86428581005559	-0.2665091699	1.511448610	1.058327710
--15	55	1.86511711175264	-0.3998581010	1.492290749	1.044913231
--20	55	1.86629306749959	-0.5332340878	1.465048616	1.025838084
--25	55	1.86781043025980	-0.6664925577	1.429297903	1.000805166
--30	55	1.86966315705718	-0.7993465437	1.384508827	0.9694435171
--35	55	1.87183843241055	-0.9313197576	1.330062455	0.9313197576
--40	55	1.87431158981565	-1.061694390	1.265278104	0.8859572662
--45	55	1.87704329444321	-1.189458449	1.189458449	0.8328677723
-
-45	60	1.88255734899745	1.232423079	1.232423079	0.7115397963
-40	60	1.88046893634333	1.105450369	1.317424448	0.7606153599
-35	60	1.87853269704476	0.9740424835	1.391076831	0.8031385830
-30	60	1.87678564585830	0.8393240567	1.453751910	0.8393240567
-25	60	1.87525821688124	0.7021971561	1.505866661	0.8694125220
-20	60	1.87397689082149	0.5633672608	1.547838828	0.8936451640
-15	60	1.87295607742754	0.4233716530	1.580044519	0.9122391287
-10	60	1.87220860348064	0.2826169773	1.602800525	0.9253773148
-5	60	1.87174415724987	0.1414118772	1.616345153	0.9331973091
-0	60	1.87156833143524	0.000000000	1.620825720	0.9357841657
--5	60	1.87168557070541	-0.1414074510	1.616294560	0.9331680996
--10	60	1.87209758482609	-0.2826002186	1.602705482	0.9253224416
--15	60	1.87280205227205	-0.4233368364	1.579914582	0.9121641094
--20	60	1.87379718315828	-0.5633132359	1.547690396	0.8935594667
--25	60	1.87507350182701	-0.7021279889	1.505718331	0.8693268839
--30	60	1.87661405259465	-0.8392473178	1.453618995	0.8392473178
--35	60	1.87839864196313	-0.9739729743	1.390977562	0.8030812698
--40	60	1.88039414031442	-1.105406399	1.317372048	0.7605851063
--45	60	1.88255737047208	-1.232423093	1.232423093	0.7115398044
-
-45	65	1.88715670239810	1.267306749	1.267306749	0.5909548424
-40	65	1.88564241819475	1.141429701	1.360302947	0.6343196817
-35	65	1.88421123224634	1.009592999	1.441848230	0.6723448714
-30	65	1.88289537166476	0.8729532814	1.511999436	0.7050569161
-25	65	1.88172763494894	0.7325219833	1.570898463	0.7325219833
-20	65	1.88073118855437	0.5891678435	1.618725346	0.7548240254
-15	65	1.87992414217795	0.4436351604	1.655668959	0.7720511148
-10	65	1.87932339743062	0.2965651390	1.681904481	0.7842849398
-5	65	1.87894269390469	0.1485183314	1.697572296	0.7915909620
-0	65	1.87879068862736	0.000000000	1.702762631	0.7940112550
--5	65	1.87887139842766	-0.1485126960	1.697507883	0.7915609255
--10	65	1.87918881917545	-0.2965439020	1.681784040	0.7842287772
--15	65	1.87973775356453	-0.4435911754	1.655504804	0.7719745684
--20	65	1.88051393176186	-0.5890997845	1.618538356	0.7547368302
--25	65	1.88150624291858	-0.7324357995	1.570713641	0.7324357995
--30	65	1.88269484069252	-0.8728603106	1.511838406	0.7049818266
--35	65	1.88405576235137	-1.009509696	1.441729260	0.6722893949
--40	65	1.88555668051101	-1.141377802	1.360241096	0.6342908400
--45	65	1.88715671043239	-1.267306755	1.267306755	0.5909548449
-
-45	70	1.89086281783622	1.294845989	1.294845989	0.4712853979
-40	70	1.88987216057626	1.170154208	1.394535482	0.5075694060
-35	70	1.88891722082829	1.038273815	1.482808680	0.5396982225
-30	70	1.88802313972771	0.9003434123	1.559440534	0.5675899366
-25	70	1.88721457904736	0.7574261085	1.624305532	0.5911988648
-20	70	1.88651016693657	0.6105040764	1.677346164	0.6105040764
-15	70	1.88592833946719	0.4604850200	1.718553491	0.6255023166
-10	70	1.88548553620984	0.3082098767	1.747945070	0.6361999767
-5	70	1.88519635862471	0.1544654859	1.765548583	0.6426071314
-0	70	1.88507011310405	0.000000000	1.771386475	0.6447319503
--5	70	1.88511375498293	-0.1544587177	1.765471222	0.6425789743
--10	70	1.88533005338359	-0.3081844608	1.747800929	0.6361475138
--15	70	1.88571397604292	-0.4604326791	1.718358152	0.6254312190
--20	70	1.88625995543372	-0.6104231041	1.677123695	0.6104231041
--25	70	1.88696021401735	-0.7573240201	1.624086602	0.5911191811
--30	70	1.88779603243630	-0.9002351114	1.559252952	0.5675216621
--35	70	1.88874378902297	-1.038178486	1.482672535	0.5396486699
--40	70	1.88977717971342	-1.170095399	1.394465395	0.5075438967
--45	70	1.89086281752095	-1.294845989	1.294845989	0.4712853978
-
-45	75	1.89370557883031	1.315645495	1.315645495	0.3525261478
-40	75	1.89315347112903	1.192043043	1.420621579	0.3806544050
-35	75	1.89260771961172	1.060314570	1.514286139	0.4057517482
-30	75	1.89208472158913	0.9215558969	1.596181635	0.4276955802
-25	75	1.89159799412693	0.7768453564	1.665950243	0.4463900222
-20	75	1.89116149905691	0.6272379888	1.723322211	0.4617627947
-15	75	1.89078812999176	0.4737611815	1.768100800	0.4737611815
-10	75	1.89049395855442	0.3174156710	1.800153724	0.4823497366
-5	75	1.89029234538248	0.1591766221	1.819397116	0.4875059879
-0	75	1.89019210090354	0.000000000	1.825785367	0.4892177146
--5	75	1.89020071508033	-0.1591689062	1.819308922	0.4874823565
--10	75	1.89032143127185	-0.3173867035	1.799989441	0.4823057172
--15	75	1.89055088880019	-0.4737017376	1.767878952	0.4737017376
--20	75	1.89088482145853	-0.6271462237	1.723070088	0.4616952386
--25	75	1.89131734582566	-0.7767300991	1.665703073	0.4463237932
--30	75	1.89183536843655	-0.9214344473	1.595971279	0.4276392152
--35	75	1.89242034047539	-1.060209593	1.514136216	0.4057115764
--40	75	1.89305134782612	-1.191978740	1.420544946	0.3806338711
--45	75	1.89370557448193	-1.315645491	1.315645491	0.3525261470
-
-45	80	1.89571294082366	1.330172185	1.330172185	0.2345452452
-40	80	1.89549015408036	1.207432530	1.438962055	0.2537278345
-35	80	1.89525786323300	1.075910091	1.536558852	0.2709367830
-30	80	1.89502275045501	0.9366536726	1.622331750	0.2860608592
-25	80	1.89478978370526	0.7907394191	1.695746156	0.2990057998
-20	80	1.89456641051174	0.6392640427	1.756363522	0.3096942769
-15	80	1.89436121610135	0.4833364474	1.803836179	0.3180649871
-10	80	1.89418877548722	0.3240727225	1.837907739	0.3240727225
-5	80	1.89406008025335	0.1625889258	1.858399925	0.3276860478
-0	80	1.89398232439920	0.000000000	1.865208477	0.3288865792
--5	80	1.89396257249025	-0.1625805556	1.858304253	0.3276691783
--10	80	1.89400501469011	-0.3240412833	1.837729439	0.3240412833
--15	80	1.89410850323978	-0.4832719690	1.803595542	0.3180225564
--20	80	1.89427065454485	-0.6391642488	1.756089341	0.3096459313
--25	80	1.89449017630333	-0.7906143860	1.695478022	0.2989585205
--30	80	1.89475706512743	-0.9365223522	1.622104296	0.2860207530
--35	80	1.89505932501952	-1.075797384	1.536397889	0.2709084009
--40	80	1.89538287507002	-1.207364193	1.438880614	0.2537134743
--45	80	1.89571293680816	-1.330172182	1.330172182	0.2345452447
-
-45	85	1.89690795954680	1.338757127	1.338757127	0.1171260718
-40	85	1.89688856391006	1.216567295	1.449848444	0.1268453027
-35	85	1.89685196700808	1.085206302	1.549835217	0.1355930119
-30	85	1.89679823970132	0.9456885475	1.637980612	0.1433047347
-25	85	1.89672758337072	0.7990836641	1.713640448	0.1499241125
-20	85	1.89664069820300	0.6465081649	1.776266585	0.1554031895
-15	85	1.89654480669487	0.4891184964	1.825415079	0.1597031257
-10	85	1.89645264049683	0.3280999780	1.860747440	0.1627943067
-5	85	1.89637267288506	0.1646555799	1.882021890	0.1646555799
-0	85	1.89631028458475	0.000000000	1.889094251	0.1652743313
--5	85	1.89627201264713	-0.1646468399	1.881921992	0.1646468399
--10	85	1.89626293315627	-0.3280671572	1.860561304	0.1627780219
--15	85	1.89628372207138	-0.4890511627	1.825163787	0.1596811404
--20	85	1.89633363748327	-0.6464034971	1.775979012	0.1553780302
--25	85	1.89641507994772	-0.7989520076	1.713358110	0.1498994111
--30	85	1.89652251521288	-0.9455510792	1.637742510	0.1432839034
--35	85	1.89664645474300	-1.085088727	1.549667302	0.1355783212
--40	85	1.89677823777084	-1.216496537	1.449764118	0.1268379252
--45	85	1.89690795626940	-1.338757125	1.338757125	0.1171260716
-
-45	90	1.89730387155451	1.341596434	1.341596434	0.000000000
-40	90	1.89735328683335	1.219595184	1.453456942	0.000000000
-35	90	1.89738330512531	1.088294355	1.554245413	0.000000000
-30	90	1.89739163293616	0.9486958165	1.643189355	0.000000000
-25	90	1.89737673752793	0.8018660587	1.719607312	0.000000000
-20	90	1.89733700659260	0.6489274749	1.782913584	0.000000000
-15	90	1.89727908059270	0.4910519599	1.832630864	0.000000000
-10	90	1.89721501947174	0.3294479308	1.868392060	0.000000000
-5	90	1.89715222641190	0.1653477114	1.889932989	0.000000000
-0	90	1.89709530255464	0.000000000	1.897095303	0.000000000
--5	90	1.89705057375703	-0.1653388518	1.889831724	0.000000000
--10	90	1.89702348965893	-0.3294146720	1.868203440	0.000000000
--15	90	1.89701542504598	-0.4909837209	1.832376192	0.000000000
--20	90	1.89702628635408	-0.6488212024	1.782621603	0.000000000
--25	90	1.89705995015574	-0.8017321786	1.719320205	0.000000000
--30	90	1.89711256779356	-0.9485562839	1.642947678	0.000000000
--35	90	1.89717544299278	-1.088175130	1.554075143	0.000000000
--40	90	1.89724195618599	-1.219523622	1.453371658	0.000000000
--45	90	1.89730386928173	-1.341596432	1.341596432	0.000000000
-
-
-### -x patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = drho = dnu
-# dpy = 180 - dsigma = 180 - dphi
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--90	45	1.89730387139499	-1.341596433	1.341596433	1.642981778e-16
--90	40	1.89735328668660	-1.453456942	1.219595184	1.779971392e-16
--90	35	1.89738330499578	-1.554245413	1.088294354	1.903401670e-16
--90	30	1.89739163282930	-1.643189355	0.9486958164	2.012326584e-16
--90	25	1.89737673744831	-1.719607312	0.8018660586	2.105911591e-16
--90	20	1.89733700654017	-1.782913584	0.6489274749	2.183439414e-16
--90	15	1.89727908056833	-1.832630864	0.4910519599	2.244325521e-16
--90	10	1.89721501947645	-1.868392060	0.3294479308	2.288120356e-16
--90	5	1.89715222644554	-1.889932989	0.1653477114	2.314500386e-16
--90	-2.84217e-14	1.89709530261587	-1.897095303	-6.101523849e-16	2.323271690e-16
--90	-5	1.89705057384327	-1.889831724	-0.1653388518	2.314376371e-16
--90	-10	1.89702348976693	-1.868203440	-0.3294146720	2.287889363e-16
--90	-15	1.89701542517315	-1.832376192	-0.4909837209	2.244013638e-16
--90	-20	1.89702628649866	-1.782621603	-0.6488212024	2.183081840e-16
--90	-25	1.89705995031391	-1.719320205	-0.8017321786	2.105559986e-16
--90	-30	1.89711256795921	-1.642947678	-0.9485562840	2.012030615e-16
--90	-35	1.89717544316135	-1.554075143	-1.088175130	1.903193149e-16
--90	-40	1.89724195635286	-1.453371658	-1.219523622	1.779866949e-16
--90	-45	1.89730386944124	-1.341596432	-1.341596432	1.642981776e-16
-
--85	45	1.89690795938564	-1.338757127	1.338757127	0.1171260718
--85	40	1.89688856376149	-1.449848444	1.216567295	0.1268453027
--85	35	1.89685196687670	-1.549835217	1.085206302	0.1355930119
--85	30	1.89679823959311	-1.637980612	0.9456885474	0.1433047346
--85	25	1.89672758328917	-1.713640448	0.7990836640	0.1499241125
--85	20	1.89664069814889	-1.776266585	0.6465081649	0.1554031895
--85	15	1.89654480666973	-1.825415079	0.4891184964	0.1597031257
--85	10	1.89645264050114	-1.860747440	0.3280999780	0.1627943067
--85	5	1.89637267291846	-1.882021890	0.1646555799	0.1646555799
--85	-2.84217e-14	1.89631028464589	-1.889094252	-6.075790506e-16	0.1652743313
--85	-5	1.89627201273390	-1.881921992	-0.1646468399	0.1646468399
--85	-10	1.89626293326599	-1.860561305	-0.3280671573	0.1627780219
--85	-15	1.89628372220109	-1.825163787	-0.4890511627	0.1596811404
--85	-20	1.89633363763013	-1.775979012	-0.6464034971	0.1553780302
--85	-25	1.89641508010772	-1.713358110	-0.7989520077	0.1498994112
--85	-30	1.89652251538007	-1.637742511	-0.9455510793	0.1432839034
--85	-35	1.89664645491337	-1.549667303	-1.085088727	0.1355783212
--85	-40	1.89677823793983	-1.449764119	-1.216496537	0.1268379252
--85	-45	1.89690795643055	-1.338757125	-1.338757125	0.1171260716
-
--80	45	1.89571294065706	-1.330172185	1.330172185	0.2345452451
--80	40	1.89549015392581	-1.438962055	1.207432530	0.2537278345
--80	35	1.89525786309658	-1.536558851	1.075910091	0.2709367830
--80	30	1.89502275034260	-1.622331750	0.9366536725	0.2860608592
--80	25	1.89478978361933	-1.695746156	0.7907394190	0.2990057998
--80	20	1.89456641045356	-1.756363522	0.6392640426	0.3096942769
--80	15	1.89436121607475	-1.803836179	0.4833364474	0.3180649871
--80	10	1.89418877549109	-1.837907739	0.3240727225	0.3240727225
--80	5	1.89406008028590	-1.858399925	0.1625889258	0.3276860478
--80	-2.84217e-14	1.89398232446037	-1.865208477	-5.998967997e-16	0.3288865792
--80	-5	1.89396257257856	-1.858304254	-0.1625805556	0.3276691783
--80	-10	1.89400501480335	-1.837729439	-0.3240412833	0.3240412833
--80	-15	1.89410850337424	-1.803595542	-0.4832719690	0.3180225564
--80	-20	1.89427065469681	-1.756089341	-0.6391642488	0.3096459313
--80	-25	1.89449017646863	-1.695478022	-0.7906143861	0.2989585205
--80	-30	1.89475706530115	-1.622104297	-0.9365223523	0.2860207530
--80	-35	1.89505932519681	-1.536397889	-1.075797384	0.2709084010
--80	-40	1.89538287524545	-1.438880614	-1.207364193	0.2537134743
--80	-45	1.89571293697476	-1.330172182	-1.330172182	0.2345452447
-
--75	45	1.89370557865390	-1.315645494	1.315645494	0.3525261477
--75	40	1.89315347096370	-1.420621579	1.192043043	0.3806544049
--75	35	1.89260771946573	-1.514286139	1.060314570	0.4057517481
--75	30	1.89208472146812	-1.596181635	0.9215558968	0.4276955802
--75	25	1.89159799403372	-1.665950243	0.7768453563	0.4463900222
--75	20	1.89116149899327	-1.723322211	0.6272379888	0.4617627947
--75	15	1.89078812996129	-1.768100800	0.4737611814	0.4737611814
--75	10	1.89049395855560	-1.800153724	0.3174156710	0.4823497366
--75	5	1.89029234541359	-1.819397116	0.1591766221	0.4875059880
--75	-2.84217e-14	1.89019210096486	-1.825785367	-5.872173604e-16	0.4892177146
--75	-5	1.89020071517017	-1.819308922	-0.1591689062	0.4874823565
--75	-10	1.89032143138826	-1.799989442	-0.3173867035	0.4823057172
--75	-15	1.89055088893990	-1.767878953	-0.4737017377	0.4737017377
--75	-20	1.89088482161789	-1.723070088	-0.6271462237	0.4616952387
--75	-25	1.89131734600022	-1.665703073	-0.7767300992	0.4463237933
--75	-30	1.89183536862189	-1.595971279	-0.9214344474	0.4276392153
--75	-35	1.89242034066504	-1.514136216	-1.060209593	0.4057115764
--75	-40	1.89305134801277	-1.420544946	-1.191978741	0.3806338712
--75	-45	1.89370557465834	-1.315645492	-1.315645492	0.3525261470
-
--70	45	1.89086281764529	-1.294845989	1.294845989	0.4712853978
--70	40	1.88987216039518	-1.394535482	1.170154208	0.5075694059
--70	35	1.88891722066672	-1.482808680	1.038273815	0.5396982225
--70	30	1.88802313959294	-1.559440534	0.9003434122	0.5675899366
--70	25	1.88721457894338	-1.624305531	0.7574261085	0.5911988648
--70	20	1.88651016686565	-1.677346164	0.6105040764	0.6105040764
--70	15	1.88592833943050	-1.718553491	0.4604850199	0.6255023166
--70	10	1.88548553620642	-1.747945070	0.3082098767	0.6361999767
--70	5	1.88519635865387	-1.765548583	0.1544654859	0.6426071314
--70	-2.84217e-14	1.88507011316506	-1.771386475	-5.697213424e-16	0.6447319503
--70	-5	1.88511375507396	-1.765471222	-0.1544587177	0.6425789743
--70	-10	1.88533005350299	-1.747800930	-0.3081844608	0.6361475138
--70	-15	1.88571397618842	-1.718358152	-0.4604326791	0.6254312191
--70	-20	1.88625995560239	-1.677123695	-0.6104231041	0.6104231041
--70	-25	1.88696021420509	-1.624086602	-0.7573240202	0.5911191811
--70	-30	1.88779603263745	-1.559252952	-0.9002351115	0.5675216622
--70	-35	1.88874378922987	-1.482672535	-1.038178486	0.5396486699
--70	-40	1.88977717991692	-1.394465396	-1.170095399	0.5075438967
--70	-45	1.89086281771190	-1.294845989	-1.294845989	0.4712853979
-
--65	45	1.88715670218612	-1.267306749	1.267306749	0.5909548424
--65	40	1.88564241799074	-1.360302947	1.141429701	0.6343196816
--65	35	1.88421123206294	-1.441848230	1.009592999	0.6723448713
--65	30	1.88289537151143	-1.511999436	0.8729532813	0.7050569160
--65	25	1.88172763483037	-1.570898463	0.7325219833	0.7325219833
--65	20	1.88073118847315	-1.618725346	0.5891678435	0.7548240254
--65	15	1.87992414213412	-1.655668959	0.4436351604	0.7720511148
--65	10	1.87932339742245	-1.681904481	0.2965651390	0.7842849398
--65	5	1.87894269393127	-1.697572296	0.1485183314	0.7915909620
--65	-2.84217e-14	1.87879068868771	-1.702762631	-5.476502309e-16	0.7940112550
--65	-5	1.87887139851999	-1.697507883	-0.1485126960	0.7915609256
--65	-10	1.87918881929890	-1.681784040	-0.2965439020	0.7842287773
--65	-15	1.87973775371719	-1.655504804	-0.4435911754	0.7719745684
--65	-20	1.88051393194126	-1.618538356	-0.5890997845	0.7547368303
--65	-25	1.88150624312276	-1.570713641	-0.7324357996	0.7324357996
--65	-30	1.88269484091491	-1.511838406	-0.8728603107	0.7049818266
--65	-35	1.88405576258252	-1.441729260	-1.009509696	0.6722893950
--65	-40	1.88555668073885	-1.360241096	-1.141377802	0.6342908400
--65	-45	1.88715671064439	-1.267306755	-1.267306755	0.5909548450
-
--60	45	1.88255734875471	-1.232423079	1.232423079	0.7115397962
--60	40	1.88046893610586	-1.317424448	1.105450369	0.7606153598
--60	35	1.87853269683118	-1.391076831	0.9740424834	0.8031385829
--60	30	1.87678564568094	-1.453751910	0.8393240566	0.8393240566
--60	25	1.87525821674496	-1.505866661	0.7021971561	0.8694125220
--60	20	1.87397689072747	-1.547838828	0.5633672608	0.8936451640
--60	15	1.87295607737477	-1.580044519	0.4233716530	0.9122391286
--60	10	1.87220860346736	-1.602800525	0.2826169773	0.9253773148
--60	5	1.87174415727407	-1.616345153	0.1414118772	0.9331973092
--60	-2.84217e-14	1.87156833149513	-1.620825720	-5.212973103e-16	0.9357841657
--60	-5	1.87168557079943	-1.616294561	-0.1414074510	0.9331680996
--60	-10	1.87209758495369	-1.602705482	-0.2826002187	0.9253224416
--60	-15	1.87280205243266	-1.579914582	-0.4233368365	0.9121641095
--60	-20	1.87379718335093	-1.547690396	-0.5633132360	0.8935594668
--60	-25	1.87507350205046	-1.505718332	-0.7021279890	0.8693268840
--60	-30	1.87661405284381	-1.453618995	-0.8392473179	0.8392473179
--60	-35	1.87839864222773	-1.390977562	-0.9739729744	0.8030812699
--60	-40	1.88039414057751	-1.317372048	-1.105406399	0.7605851064
--60	-45	1.88255737071487	-1.232423093	-1.232423093	0.7115398045
-
--55	45	1.87704334068148	-1.189458478	1.189458478	0.8328677928
--55	40	1.87437510291444	-1.265320979	1.061730367	0.8859872878
--55	35	1.87194900599121	-1.330141025	0.9313747727	0.9313747727
--55	30	1.86980326553427	-1.384612579	0.7994064450	0.9695161651
--55	25	1.86796034393547	-1.429412620	0.6665460516	1.000885492
--55	20	1.86643585107752	-1.465160701	0.5332748837	1.025916568
--55	15	1.86523828971729	-1.492387704	0.3998840800	1.044981120
--55	10	1.86437253583390	-1.511518922	0.2665215678	1.058376943
--55	5	1.86384274575098	-1.522864819	0.1332334077	1.066321426
--55	-2.84217e-14	1.86365008320891	-1.526612775	-4.909961163e-16	1.068945773
--55	-5	1.86379727769197	-1.522827669	-0.1332301575	1.066295413
--55	-10	1.86428581018585	-1.511448610	-0.2665091699	1.058327711
--55	-15	1.86511711191982	-1.492290749	-0.3998581010	1.044913231
--55	-20	1.86629306770495	-1.465048616	-0.5332340879	1.025838085
--55	-25	1.86781043050389	-1.429297903	-0.6664925578	1.000805166
--55	-30	1.86966315733827	-1.384508827	-0.7993465439	0.9694435173
--55	-35	1.87183843271997	-1.330062456	-0.9313197577	0.9313197577
--55	-40	1.87431159013116	-1.265278104	-1.061694390	0.8859572664
--55	-45	1.87704329473302	-1.189458449	-1.189458449	0.8328677724
-
--50	45	1.87060825632834	-1.137555046	1.137555046	0.9545220192
--50	40	1.86740961166869	-1.203359646	1.009738635	1.009738635
--50	35	1.86456408810590	-1.258697928	0.8813497772	1.056172967
--50	30	1.86209563589209	-1.304552428	0.7531836952	1.094649461
--50	25	1.86001492640560	-1.341815268	0.6256987351	1.125916696
--50	20	1.85831993597060	-1.371253115	0.4990953175	1.150617983
--50	15	1.85700632428916	-1.393496775	0.3733863356	1.169282630
--50	10	1.85606776406604	-1.409034533	0.2484508049	1.182320357
--50	5	1.85549986638464	-1.418213829	0.1240776325	1.190022701
--50	-2.84217e-14	1.85529908168089	-1.421241552	-4.571061460e-16	1.192563262
--50	-5	1.85546606015049	-1.418187990	-0.1240753719	1.190001020
--50	-10	1.85600290811243	-1.408985298	-0.2484421234	1.182279044
--50	-15	1.85691565277468	-1.393428736	-0.3733681044	1.169225538
--50	-20	1.85821246816193	-1.371173815	-0.4990664545	1.150551442
--50	-25	1.85990016607604	-1.341732480	-0.6256601304	1.125847229
--50	-30	1.86198740059328	-1.304476600	-0.7531399160	1.094585834
--50	-35	1.86447649182078	-1.258638795	-0.8813083719	1.056123348
--50	-40	1.86735810698766	-1.203326456	-1.009710785	1.009710785
--50	-45	1.87060824591195	-1.137555039	-1.137555039	0.9545220139
-
--45	45	1.86328011361551	-1.075765275	1.075765275	1.075765275
--45	40	1.85966081890511	-1.130897686	0.9489358308	1.130897686
--45	35	1.85651943994600	-1.176452743	0.8237610793	1.176452743
--45	30	1.85385162873311	-1.213630774	0.7006900539	1.213630774
--45	25	1.85164268270317	-1.243457560	0.5798337830	1.243457560
--45	20	1.84987039960323	-1.266774747	0.4610683013	1.266774747
--45	15	1.84851418005439	-1.284248924	0.3441134621	1.284248924
--45	10	1.84755557277867	-1.296381419	0.2285870215	1.296381419
--45	5	1.84698124596385	-1.303520972	0.1140433077	1.303520972
--45	-2.84217e-14	1.84678244814817	-1.305872392	-4.200005944e-16	1.305872392
--45	-5	1.84695763745610	-1.303504310	-0.1140418500	1.303504310
--45	-10	1.84750999217705	-1.296349436	-0.2285813821	1.296349436
--45	-15	1.84845019170009	-1.284204469	-0.3441015503	1.284204469
--45	-20	1.84979351801289	-1.266722099	-0.4610491390	1.266722099
--45	-25	1.85155975832132	-1.243401873	-0.5798078156	1.243401873
--45	-30	1.85377242766035	-1.213578924	-0.7006601187	1.213578924
--45	-35	1.85645363290665	-1.176411042	-0.8237318799	1.176411042
--45	-40	1.85962141818021	-1.130873725	-0.9489157257	1.130873725
--45	-45	1.86328014627211	-1.075765294	-1.075765294	1.075765294
-
-
-### -y patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = 90 + dsigma = 90 + dphi
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--45	-90	1.89730387155451	-1.341596434	-1.341596434	1.642981778e-16
--40	-90	1.89735328683334	-1.219595184	-1.453456942	1.779971392e-16
--35	-90	1.89738330512530	-1.088294355	-1.554245413	1.903401670e-16
--30	-90	1.89739163293615	-0.9486958165	-1.643189355	2.012326584e-16
--25	-90	1.89737673752792	-0.8018660587	-1.719607312	2.105911591e-16
--20	-90	1.89733700659258	-0.6489274749	-1.782913584	2.183439414e-16
--15	-90	1.89727908059269	-0.4910519599	-1.832630864	2.244325521e-16
--10	-90	1.89721501947172	-0.3294479308	-1.868392060	2.288120356e-16
--5	-90	1.89715222641188	-0.1653477114	-1.889932989	2.314500386e-16
--2.84217e-14	-90	1.89709530255463	-6.101523849e-16	-1.897095303	2.323271690e-16
-5	-90	1.89705057375701	0.1653388518	-1.889831724	2.314376371e-16
-10	-90	1.89702348965892	0.3294146720	-1.868203440	2.287889363e-16
-15	-90	1.89701542504597	0.4909837209	-1.832376192	2.244013638e-16
-20	-90	1.89702628635407	0.6488212024	-1.782621603	2.183081840e-16
-25	-90	1.89705995015573	0.8017321786	-1.719320205	2.105559986e-16
-30	-90	1.89711256779355	0.9485562839	-1.642947678	2.012030614e-16
-35	-90	1.89717544299278	1.088175130	-1.554075143	1.903193149e-16
-40	-90	1.89724195618600	1.219523622	-1.453371658	1.779866949e-16
-45	-90	1.89730386928173	1.341596432	-1.341596432	1.642981776e-16
-
--45	-85	1.89690795954679	-1.338757127	-1.338757127	0.1171260718
--40	-85	1.89688856391005	-1.216567295	-1.449848444	0.1268453027
--35	-85	1.89685196700807	-1.085206302	-1.549835217	0.1355930119
--30	-85	1.89679823970131	-0.9456885475	-1.637980612	0.1433047347
--25	-85	1.89672758337071	-0.7990836641	-1.713640448	0.1499241125
--20	-85	1.89664069820299	-0.6465081649	-1.776266585	0.1554031895
--15	-85	1.89654480669486	-0.4891184964	-1.825415079	0.1597031257
--10	-85	1.89645264049681	-0.3280999780	-1.860747440	0.1627943067
--5	-85	1.89637267288505	-0.1646555799	-1.882021890	0.1646555799
--2.84217e-14	-85	1.89631028458473	-6.075790506e-16	-1.889094251	0.1652743313
-5	-85	1.89627201264712	0.1646468399	-1.881921992	0.1646468399
-10	-85	1.89626293315626	0.3280671572	-1.860561304	0.1627780219
-15	-85	1.89628372207137	0.4890511627	-1.825163787	0.1596811404
-20	-85	1.89633363748326	0.6464034971	-1.775979012	0.1553780302
-25	-85	1.89641507994771	0.7989520076	-1.713358110	0.1498994111
-30	-85	1.89652251521288	0.9455510792	-1.637742510	0.1432839034
-35	-85	1.89664645474300	1.085088727	-1.549667302	0.1355783212
-40	-85	1.89677823777085	1.216496537	-1.449764118	0.1268379252
-45	-85	1.89690795626941	1.338757125	-1.338757125	0.1171260716
-
--45	-80	1.89571294082365	-1.330172185	-1.330172185	0.2345452452
--40	-80	1.89549015408035	-1.207432530	-1.438962055	0.2537278345
--35	-80	1.89525786323299	-1.075910091	-1.536558852	0.2709367830
--30	-80	1.89502275045500	-0.9366536726	-1.622331750	0.2860608592
--25	-80	1.89478978370525	-0.7907394191	-1.695746156	0.2990057998
--20	-80	1.89456641051172	-0.6392640427	-1.756363522	0.3096942769
--15	-80	1.89436121610133	-0.4833364474	-1.803836179	0.3180649871
--10	-80	1.89418877548720	-0.3240727225	-1.837907739	0.3240727225
--5	-80	1.89406008025333	-0.1625889258	-1.858399925	0.3276860478
--2.84217e-14	-80	1.89398232439919	-5.998967997e-16	-1.865208477	0.3288865792
-5	-80	1.89396257249023	0.1625805556	-1.858304253	0.3276691783
-10	-80	1.89400501469010	0.3240412833	-1.837729439	0.3240412833
-15	-80	1.89410850323977	0.4832719690	-1.803595542	0.3180225564
-20	-80	1.89427065454484	0.6391642488	-1.756089341	0.3096459313
-25	-80	1.89449017630333	0.7906143860	-1.695478022	0.2989585205
-30	-80	1.89475706512742	0.9365223522	-1.622104296	0.2860207530
-35	-80	1.89505932501952	1.075797384	-1.536397889	0.2709084009
-40	-80	1.89538287507002	1.207364193	-1.438880614	0.2537134743
-45	-80	1.89571293680817	1.330172182	-1.330172182	0.2345452447
-
--45	-75	1.89370557883031	-1.315645495	-1.315645495	0.3525261478
--40	-75	1.89315347112902	-1.192043043	-1.420621579	0.3806544050
--35	-75	1.89260771961171	-1.060314570	-1.514286139	0.4057517482
--30	-75	1.89208472158912	-0.9215558969	-1.596181635	0.4276955802
--25	-75	1.89159799412691	-0.7768453564	-1.665950243	0.4463900222
--20	-75	1.89116149905690	-0.6272379888	-1.723322211	0.4617627947
--15	-75	1.89078812999174	-0.4737611815	-1.768100800	0.4737611815
--10	-75	1.89049395855440	-0.3174156710	-1.800153724	0.4823497366
--5	-75	1.89029234538246	-0.1591766221	-1.819397116	0.4875059879
--2.84217e-14	-75	1.89019210090352	-5.872173604e-16	-1.825785367	0.4892177146
-5	-75	1.89020071508031	0.1591689062	-1.819308922	0.4874823565
-10	-75	1.89032143127184	0.3173867035	-1.799989441	0.4823057172
-15	-75	1.89055088880017	0.4737017376	-1.767878952	0.4737017376
-20	-75	1.89088482145852	0.6271462237	-1.723070088	0.4616952386
-25	-75	1.89131734582566	0.7767300991	-1.665703073	0.4463237932
-30	-75	1.89183536843655	0.9214344473	-1.595971279	0.4276392152
-35	-75	1.89242034047539	1.060209593	-1.514136216	0.4057115764
-40	-75	1.89305134782612	1.191978740	-1.420544946	0.3806338711
-45	-75	1.89370557448194	1.315645491	-1.315645491	0.3525261470
-
--45	-70	1.89086281783622	-1.294845989	-1.294845989	0.4712853979
--40	-70	1.88987216057626	-1.170154208	-1.394535482	0.5075694060
--35	-70	1.88891722082828	-1.038273815	-1.482808680	0.5396982225
--30	-70	1.88802313972770	-0.9003434123	-1.559440534	0.5675899366
--25	-70	1.88721457904734	-0.7574261085	-1.624305532	0.5911988648
--20	-70	1.88651016693656	-0.6105040764	-1.677346164	0.6105040764
--15	-70	1.88592833946717	-0.4604850200	-1.718553491	0.6255023166
--10	-70	1.88548553620982	-0.3082098767	-1.747945070	0.6361999767
--5	-70	1.88519635862469	-0.1544654859	-1.765548583	0.6426071314
--2.84217e-14	-70	1.88507011310403	-5.697213423e-16	-1.771386475	0.6447319503
-5	-70	1.88511375498291	0.1544587177	-1.765471222	0.6425789743
-10	-70	1.88533005338357	0.3081844608	-1.747800929	0.6361475138
-15	-70	1.88571397604290	0.4604326791	-1.718358152	0.6254312190
-20	-70	1.88625995543371	0.6104231041	-1.677123695	0.6104231041
-25	-70	1.88696021401734	0.7573240201	-1.624086602	0.5911191811
-30	-70	1.88779603243629	0.9002351114	-1.559252952	0.5675216621
-35	-70	1.88874378902297	1.038178486	-1.482672535	0.5396486699
-40	-70	1.88977717971342	1.170095399	-1.394465395	0.5075438967
-45	-70	1.89086281752095	1.294845989	-1.294845989	0.4712853978
-
--45	-65	1.88715670239810	-1.267306749	-1.267306749	0.5909548424
--40	-65	1.88564241819474	-1.141429701	-1.360302947	0.6343196817
--35	-65	1.88421123224634	-1.009592999	-1.441848230	0.6723448714
--30	-65	1.88289537166475	-0.8729532814	-1.511999436	0.7050569161
--25	-65	1.88172763494893	-0.7325219833	-1.570898463	0.7325219833
--20	-65	1.88073118855435	-0.5891678435	-1.618725346	0.7548240254
--15	-65	1.87992414217793	-0.4436351604	-1.655668959	0.7720511148
--10	-65	1.87932339743060	-0.2965651390	-1.681904481	0.7842849398
--5	-65	1.87894269390467	-0.1485183314	-1.697572296	0.7915909620
--2.84217e-14	-65	1.87879068862734	-5.476502309e-16	-1.702762631	0.7940112550
-5	-65	1.87887139842763	0.1485126960	-1.697507883	0.7915609255
-10	-65	1.87918881917543	0.2965439020	-1.681784040	0.7842287772
-15	-65	1.87973775356452	0.4435911754	-1.655504804	0.7719745684
-20	-65	1.88051393176185	0.5890997845	-1.618538356	0.7547368302
-25	-65	1.88150624291857	0.7324357995	-1.570713641	0.7324357995
-30	-65	1.88269484069252	0.8728603106	-1.511838406	0.7049818266
-35	-65	1.88405576235137	1.009509696	-1.441729260	0.6722893949
-40	-65	1.88555668051101	1.141377802	-1.360241096	0.6342908400
-45	-65	1.88715671043239	1.267306755	-1.267306755	0.5909548449
-
--45	-60	1.88255734899744	-1.232423079	-1.232423079	0.7115397963
--40	-60	1.88046893634333	-1.105450369	-1.317424448	0.7606153599
--35	-60	1.87853269704475	-0.9740424835	-1.391076831	0.8031385830
--30	-60	1.87678564585829	-0.8393240567	-1.453751910	0.8393240567
--25	-60	1.87525821688122	-0.7021971561	-1.505866661	0.8694125220
--20	-60	1.87397689082147	-0.5633672608	-1.547838828	0.8936451640
--15	-60	1.87295607742751	-0.4233716530	-1.580044519	0.9122391287
--10	-60	1.87220860348062	-0.2826169773	-1.602800525	0.9253773148
--5	-60	1.87174415724984	-0.1414118772	-1.616345153	0.9331973091
--2.84217e-14	-60	1.87156833143520	-5.212973103e-16	-1.620825720	0.9357841657
-5	-60	1.87168557070538	0.1414074510	-1.616294560	0.9331680996
-10	-60	1.87209758482606	0.2826002186	-1.602705482	0.9253224416
-15	-60	1.87280205227203	0.4233368364	-1.579914582	0.9121641094
-20	-60	1.87379718315826	0.5633132359	-1.547690396	0.8935594667
-25	-60	1.87507350182701	0.7021279889	-1.505718331	0.8693268839
-30	-60	1.87661405259464	0.8392473178	-1.453618995	0.8392473178
-35	-60	1.87839864196313	0.9739729743	-1.390977562	0.8030812698
-40	-60	1.88039414031442	1.105406399	-1.317372048	0.7605851063
-45	-60	1.88255737047208	1.232423093	-1.232423093	0.7115398044
-
--45	-55	1.87704334097105	-1.189458478	-1.189458478	0.8328677929
--40	-55	1.87437510320159	-1.061730367	-1.265320979	0.8859872880
--35	-55	1.87194900624628	-0.9313747728	-1.330141025	0.9313747728
--30	-55	1.86980326574188	-0.7994064451	-1.384612579	0.9695161652
--25	-55	1.86796034409175	-0.6665460516	-1.429412621	1.000885492
--20	-55	1.86643585118477	-0.5332748837	-1.465160701	1.025916568
--15	-55	1.86523828977890	-0.3998840800	-1.492387704	1.044981120
--10	-55	1.86437253585280	-0.2665215678	-1.511518922	1.058376943
--5	-55	1.86384274573015	-0.1332334077	-1.522864819	1.066321426
--2.84217e-14	-55	1.86365008315061	-4.909961163e-16	-1.526612775	1.068945773
-5	-55	1.86379727759758	0.1332301575	-1.522827669	1.066295413
-10	-55	1.86428581005556	0.2665091699	-1.511448610	1.058327710
-15	-55	1.86511711175262	0.3998581010	-1.492290749	1.044913231
-20	-55	1.86629306749957	0.5332340878	-1.465048616	1.025838084
-25	-55	1.86781043025979	0.6664925577	-1.429297903	1.000805166
-30	-55	1.86966315705718	0.7993465437	-1.384508827	0.9694435171
-35	-55	1.87183843241055	0.9313197576	-1.330062455	0.9313197576
-40	-55	1.87431158981565	1.061694390	-1.265278104	0.8859572662
-45	-55	1.87704329444321	1.189458449	-1.189458449	0.8328677723
-
--45	-50	1.87060825669599	-1.137555046	-1.137555046	0.9545220194
--40	-50	1.86740961203062	-1.009738635	-1.203359646	1.009738635
--35	-50	1.86456408841138	-0.8813497774	-1.258697928	1.056172967
--30	-50	1.86209563612914	-0.7531836953	-1.304552428	1.094649461
--25	-50	1.86001492657878	-0.6256987352	-1.341815268	1.125916696
--20	-50	1.85831993608801	-0.4990953175	-1.371253115	1.150617983
--15	-50	1.85700632435735	-0.3733863357	-1.393496776	1.169282630
--10	-50	1.85606776408958	-0.2484508049	-1.409034533	1.182320357
--5	-50	1.85549986636730	-0.1240776325	-1.418213829	1.190022701
--2.84217e-14	-50	1.85529908162555	-4.571061460e-16	-1.421241552	1.192563262
-5	-50	1.85546606005840	0.1240753719	-1.418187990	1.190001020
-10	-50	1.85600290798291	0.2484421234	-1.408985298	1.182279044
-15	-50	1.85691565260556	0.3733681044	-1.393428735	1.169225538
-20	-50	1.85821246794999	0.4990664545	-1.371173814	1.150551442
-25	-50	1.85990016581689	0.6256601303	-1.341732479	1.125847229
-30	-50	1.86198740028231	0.7531399159	-1.304476600	1.094585834
-35	-50	1.86447649145858	0.8813083717	-1.258638794	1.056123348
-40	-50	1.86735810659446	1.009710785	-1.203326456	1.009710785
-45	-50	1.87060824554371	1.137555039	-1.137555039	0.9545220137
-
--45	-45	1.86328011413455	-1.075765275	-1.075765275	1.075765275
--40	-45	1.85966081936153	-0.9489358311	-1.130897686	1.130897686
--35	-45	1.85651944029105	-0.8237610795	-1.176452744	1.176452744
--30	-45	1.85385162898460	-0.7006900540	-1.213630774	1.213630774
--25	-45	1.85164268288180	-0.5798337830	-1.243457560	1.243457560
--20	-45	1.84987039972310	-0.4610683013	-1.266774747	1.266774747
--15	-45	1.84851418012452	-0.3441134622	-1.284248924	1.284248924
--10	-45	1.84755557280486	-0.2285870215	-1.296381419	1.296381419
--5	-45	1.84698124595027	-0.1140433077	-1.303520972	1.303520972
--2.84217e-14	-45	1.84678244809763	-4.200005944e-16	-1.305872392	1.305872392
-5	-45	1.84695763736937	0.1140418500	-1.303504310	1.303504310
-10	-45	1.84750999205324	0.2285813821	-1.296349436	1.296349436
-15	-45	1.84845019153657	0.3441015502	-1.284204468	1.284204468
-20	-45	1.84979351780510	0.4610491390	-1.266722099	1.266722099
-25	-45	1.85155975806189	0.5798078155	-1.243401873	1.243401873
-30	-45	1.85377242733772	0.7006601186	-1.213578924	1.213578924
-35	-45	1.85645363250475	0.8237318797	-1.176411042	1.176411042
-40	-45	1.85962141769018	0.9489157254	-1.130873725	1.130873725
-45	-45	1.86328014575264	1.075765294	-1.075765294	1.075765294
-
-
diff --git a/test/checkpointML.par b/test/checkpointML.par
index 557f7b1..ee6f998 100644
--- a/test/checkpointML.par
+++ b/test/checkpointML.par
@@ -43,38 +43,39 @@ CoordBase::boundary_size_z_upper = 3
 CoordBase::boundary_shiftout_x_lower = 1
 CoordBase::boundary_shiftout_z_lower = 1
 
-ActiveThorns = "ADMBase ADMCoupling StaticConformal CoordGauge SpaceMask Exact ADMMacros ML_BSSN_O2 ML_BSSN_O2_Helper GenericFD TmunuBase NewRad MoL"
+ActiveThorns = "ADMBase ADMCoupling StaticConformal CoordGauge SpaceMask Exact ADMMacros ML_BSSN ML_BSSN_Helper GenericFD TmunuBase NewRad MoL"
 ADMBase::initial_lapse = "exact"
 ADMBase::initial_shift = "exact"
 ADMBase::initial_data = "exact"
-ADMBase::lapse_evolution_method = "ML_BSSN_O2"
-ADMBase::dtlapse_evolution_method = "ML_BSSN_O2"
+ADMBase::lapse_evolution_method = "ML_BSSN"
+ADMBase::dtlapse_evolution_method = "ML_BSSN"
 ADMBase::shift_evolution_method = "static"
 ADMBase::metric_type = "physical"
-ADMBase::evolution_method = ML_BSSN_O2
+ADMBase::evolution_method = ML_BSSN
 Exact::exact_model = "Kerr/Kerr-Schild"
 Exact::Kerr_KerrSchild__mass = 1.0
 Exact::Kerr_KerrSchild__spin = 0.6
 
-ML_BSSN_O2::my_initial_boundary_condition = "extrapolate-gammas"
-ML_BSSN_O2::my_rhs_boundary_condition     = "NewRad"
+ML_BSSN::my_initial_boundary_condition = "extrapolate-gammas"
+ML_BSSN::my_rhs_boundary_condition     = "NewRad"
 # These are necessary
-ML_BSSN_O2::ML_log_confac_bound = "none"
-ML_BSSN_O2::ML_metric_bound     = "none"
-ML_BSSN_O2::ML_Gamma_bound      = "none"
-ML_BSSN_O2::ML_trace_curv_bound = "none"
-ML_BSSN_O2::ML_curv_bound       = "none"
-ML_BSSN_O2::ML_lapse_bound      = "none"
-ML_BSSN_O2::ML_dtlapse_bound    = "none"
-ML_BSSN_O2::ML_shift_bound      = "none"
-ML_BSSN_O2::ML_dtshift_bound    = "none"
-
-ML_BSSN_O2::harmonicN = 1   # 1+log
-ML_BSSN_O2::LapseAdvectionCoeff = 1
+ML_BSSN::ML_log_confac_bound = "none"
+ML_BSSN::ML_metric_bound     = "none"
+ML_BSSN::ML_Gamma_bound      = "none"
+ML_BSSN::ML_trace_curv_bound = "none"
+ML_BSSN::ML_curv_bound       = "none"
+ML_BSSN::ML_lapse_bound      = "none"
+ML_BSSN::ML_dtlapse_bound    = "none"
+ML_BSSN::ML_shift_bound      = "none"
+ML_BSSN::ML_dtshift_bound    = "none"
+
+ML_BSSN::harmonicN = 1   # 1+log
+ML_BSSN::LapseAdvectionCoeff = 1
 
 # the default of 3 fails in Recovery since Carpet tries to time-interpolate the
 # third timelevel for which is had allocated no metadata, see Carpet issue #626
-ML_BSSN_O2::timelevels = 2 # unigrid run
+ML_BSSN::timelevels = 2 # unigrid run
+ML_BSSN::fdOrder    = 2
 
 
 ActiveThorns = "Time"
@@ -86,7 +87,7 @@ NoExcision::radius[0] = 1.01
 
 ActiveThorns = "CarpetIOASCII"
 IOASCII::out1D_every = 1
-IOASCII::out1D_vars  = "ML_BSSN_O2::phi"
+IOASCII::out1D_vars  = "ML_BSSN::phi"
 
 ActiveThorns = "CarpetIOHDF5"
 IOHDF5::checkpoint   = yes
diff --git a/test/checkpointML/checkpoint.chkpt.it_1.h5 b/test/checkpointML/checkpoint.chkpt.it_1.h5
index 62e1a81..89c791c 100644
--- a/test/checkpointML/checkpoint.chkpt.it_1.h5
+++ b/test/checkpointML/checkpoint.chkpt.it_1.h5
diff --git a/test/recover/ADM_BS_phi.x.asc b/test/recover/ADM_BS_phi.x.asc
deleted file mode 100644
index 4caa2f7..0000000
--- a/test/recover/ADM_BS_phi.x.asc
+++ /dev/null
@@ -1,50 +0,0 @@
-# ADM_BSSN::ADM_BS_phi x (ADM_BS_phi)
-#
-# iteration 1
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: it	tl rl c ml	ix iy iz	time	x y z	data
-1	0 0 0 0	0 15 3	0.05	-0.6 0 0	1.55028350898262
-1	0 0 0 0	1 15 3	0.05	-0.4 0 0	3.06029820435403
-1	0 0 0 0	2 15 3	0.05	-0.2 0 0	2.9447736742607
-1	0 0 0 0	3 15 3	0.05	0 0 0	5.55111512312578e-17
-1	0 0 0 0	4 15 3	0.05	0.2 0 0	2.9447736742607
-1	0 0 0 0	5 15 3	0.05	0.4 0 0	3.06029820435403
-1	0 0 0 0	6 15 3	0.05	0.6 0 0	1.55028350898262
-1	0 0 0 0	7 15 3	0.05	0.8 0 0	0.130363851624392
-1	0 0 0 0	8 15 3	0.05	1 0 0	0.104396914041281
-1	0 0 0 0	9 15 3	0.05	1.2 0 0	0.101375751425694
-1	0 0 0 0	10 15 3	0.05	1.4 0 0	0.0784899103643417
-1	0 0 0 0	11 15 3	0.05	1.6 0 0	0.0710854749780764
-1	0 0 0 0	12 15 3	0.05	1.8 0 0	0.0648365375811699
-1	0 0 0 0	13 15 3	0.05	2 0 0	0.0597142640637997
-1	0 0 0 0	14 15 3	0.05	2.2 0 0	0.0554082209721993
-1	0 0 0 0	15 15 3	0.05	2.4 0 0	0.0517244520929427
-1	0 0 0 0	16 15 3	0.05	2.6 0 0	0.048529132257269
-1	0 0 0 0	17 15 3	0.05	2.8 0 0	0.0457263318069279
-1	0 0 0 0	18 15 3	0.05	3 0 0	0.0432533402490022
-
-
-# iteration 2
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: it	tl rl c ml	ix iy iz	time	x y z	data
-2	0 0 0 0	0 15 3	0.1	-0.6 0 0	1.55028350898262
-2	0 0 0 0	1 15 3	0.1	-0.4 0 0	3.06029820435403
-2	0 0 0 0	2 15 3	0.1	-0.2 0 0	2.9447736742607
-2	0 0 0 0	3 15 3	0.1	0 0 0	5.55111512312578e-17
-2	0 0 0 0	4 15 3	0.1	0.2 0 0	2.9447736742607
-2	0 0 0 0	5 15 3	0.1	0.4 0 0	3.06029820435403
-2	0 0 0 0	6 15 3	0.1	0.6 0 0	1.55028350898262
-2	0 0 0 0	7 15 3	0.1	0.8 0 0	0.130363851624392
-2	0 0 0 0	8 15 3	0.1	1 0 0	0.104396914041281
-2	0 0 0 0	9 15 3	0.1	1.2 0 0	0.112940034996573
-2	0 0 0 0	10 15 3	0.1	1.4 0 0	0.0773854354782523
-2	0 0 0 0	11 15 3	0.1	1.6 0 0	0.0710723906098092
-2	0 0 0 0	12 15 3	0.1	1.8 0 0	0.0647913338977468
-2	0 0 0 0	13 15 3	0.1	2 0 0	0.0596822122568569
-2	0 0 0 0	14 15 3	0.1	2.2 0 0	0.055384121705621
-2	0 0 0 0	15 15 3	0.1	2.4 0 0	0.0517060140340176
-2	0 0 0 0	16 15 3	0.1	2.6 0 0	0.0485148359478545
-2	0 0 0 0	17 15 3	0.1	2.8 0 0	0.0457159177002126
-2	0 0 0 0	18 15 3	0.1	3 0 0	0.0432533402490022
-
-
diff --git a/test/recover/ADM_BS_phi.y.asc b/test/recover/ADM_BS_phi.y.asc
deleted file mode 100644
index 0a4248d..0000000
--- a/test/recover/ADM_BS_phi.y.asc
+++ /dev/null
@@ -1,74 +0,0 @@
-# ADM_BSSN::ADM_BS_phi y (ADM_BS_phi)
-#
-# iteration 1
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: it	tl rl c ml	ix iy iz	time	x y z	data
-1	0 0 0 0	3 0 3	0.05	0 -3 0	0.0432533402490022
-1	0 0 0 0	3 1 3	0.05	0 -2.8 0	0.0457263318065289
-1	0 0 0 0	3 2 3	0.05	0 -2.6 0	0.0485291322573205
-1	0 0 0 0	3 3 3	0.05	0 -2.4 0	0.0517244520929351
-1	0 0 0 0	3 4 3	0.05	0 -2.2 0	0.0554082209725126
-1	0 0 0 0	3 5 3	0.05	0 -2 0	0.059714264063792
-1	0 0 0 0	3 6 3	0.05	0 -1.8 0	0.0648365375817624
-1	0 0 0 0	3 7 3	0.05	0 -1.6 0	0.0710854749766165
-1	0 0 0 0	3 8 3	0.05	0 -1.4 0	0.0784899103644064
-1	0 0 0 0	3 9 3	0.05	0 -1.2 0	0.101375751426601
-1	0 0 0 0	3 10 3	0.05	0 -1 0	0.104396914041281
-1	0 0 0 0	3 11 3	0.05	0 -0.8 0	0.130363851624392
-1	0 0 0 0	3 12 3	0.05	0 -0.6 0	3.12787572237206
-1	0 0 0 0	3 13 3	0.05	0 -0.4 0	3.06029820435403
-1	0 0 0 0	3 14 3	0.05	0 -0.2 0	2.9447736742607
-1	0 0 0 0	3 15 3	0.05	0 0 0	5.55111512312578e-17
-1	0 0 0 0	3 16 3	0.05	0 0.2 0	2.9447736742607
-1	0 0 0 0	3 17 3	0.05	0 0.4 0	3.06029820435403
-1	0 0 0 0	3 18 3	0.05	0 0.6 0	1.58846228922224
-1	0 0 0 0	3 19 3	0.05	0 0.8 0	0.130363851624392
-1	0 0 0 0	3 20 3	0.05	0 1 0	0.104396914041281
-1	0 0 0 0	3 21 3	0.05	0 1.2 0	0.101375751425644
-1	0 0 0 0	3 22 3	0.05	0 1.4 0	0.0784899103629492
-1	0 0 0 0	3 23 3	0.05	0 1.6 0	0.0710854749782824
-1	0 0 0 0	3 24 3	0.05	0 1.8 0	0.0648365375811426
-1	0 0 0 0	3 25 3	0.05	0 2 0	0.0597142640640769
-1	0 0 0 0	3 26 3	0.05	0 2.2 0	0.0554082209721188
-1	0 0 0 0	3 27 3	0.05	0 2.4 0	0.051724452093734
-1	0 0 0 0	3 28 3	0.05	0 2.6 0	0.048529132256278
-1	0 0 0 0	3 29 3	0.05	0 2.8 0	0.0457263318071654
-1	0 0 0 0	3 30 3	0.05	0 3 0	0.0432533402490022
-
-
-# iteration 2
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: it	tl rl c ml	ix iy iz	time	x y z	data
-2	0 0 0 0	3 0 3	0.1	0 -3 0	0.0432533402490022
-2	0 0 0 0	3 1 3	0.1	0 -2.8 0	0.0457159176994908
-2	0 0 0 0	3 2 3	0.1	0 -2.6 0	0.0485148359479053
-2	0 0 0 0	3 3 3	0.1	0 -2.4 0	0.0517060140340352
-2	0 0 0 0	3 4 3	0.1	0 -2.2 0	0.055384121706209
-2	0 0 0 0	3 5 3	0.1	0 -2 0	0.059682212256824
-2	0 0 0 0	3 6 3	0.1	0 -1.8 0	0.0647913338990909
-2	0 0 0 0	3 7 3	0.1	0 -1.6 0	0.0710723906072374
-2	0 0 0 0	3 8 3	0.1	0 -1.4 0	0.0773854354781461
-2	0 0 0 0	3 9 3	0.1	0 -1.2 0	0.112940034998306
-2	0 0 0 0	3 10 3	0.1	0 -1 0	0.104396914041281
-2	0 0 0 0	3 11 3	0.1	0 -0.8 0	0.130363851624392
-2	0 0 0 0	3 12 3	0.1	0 -0.6 0	3.12787572237206
-2	0 0 0 0	3 13 3	0.1	0 -0.4 0	3.06029820435403
-2	0 0 0 0	3 14 3	0.1	0 -0.2 0	2.9447736742607
-2	0 0 0 0	3 15 3	0.1	0 0 0	5.55111512312578e-17
-2	0 0 0 0	3 16 3	0.1	0 0.2 0	2.9447736742607
-2	0 0 0 0	3 17 3	0.1	0 0.4 0	3.06029820435403
-2	0 0 0 0	3 18 3	0.1	0 0.6 0	1.58846228922224
-2	0 0 0 0	3 19 3	0.1	0 0.8 0	0.130363851624392
-2	0 0 0 0	3 20 3	0.1	0 1 0	0.104396914041281
-2	0 0 0 0	3 21 3	0.1	0 1.2 0	0.112940034996289
-2	0 0 0 0	3 22 3	0.1	0 1.4 0	0.0773854354758123
-2	0 0 0 0	3 23 3	0.1	0 1.6 0	0.0710723906105014
-2	0 0 0 0	3 24 3	0.1	0 1.8 0	0.0647913338978438
-2	0 0 0 0	3 25 3	0.1	0 2 0	0.0596822122573704
-2	0 0 0 0	3 26 3	0.1	0 2.2 0	0.0553841217055707
-2	0 0 0 0	3 27 3	0.1	0 2.4 0	0.0517060140355346
-2	0 0 0 0	3 28 3	0.1	0 2.6 0	0.0485148359460328
-2	0 0 0 0	3 29 3	0.1	0 2.8 0	0.045715917700652
-2	0 0 0 0	3 30 3	0.1	0 3 0	0.0432533402490022
-
-
diff --git a/test/recover/ADM_BS_phi.z.asc b/test/recover/ADM_BS_phi.z.asc
deleted file mode 100644
index 27a05cb..0000000
--- a/test/recover/ADM_BS_phi.z.asc
+++ /dev/null
@@ -1,50 +0,0 @@
-# ADM_BSSN::ADM_BS_phi z (ADM_BS_phi)
-#
-# iteration 1
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: it	tl rl c ml	ix iy iz	time	x y z	data
-1	0 0 0 0	3 15 0	0.05	0 0 -0.6	0.0817357710843105
-1	0 0 0 0	3 15 1	0.05	0 0 -0.4	0.0776298503337453
-1	0 0 0 0	3 15 2	0.05	0 0 -0.2	0.0577622650466621
-1	0 0 0 0	3 15 3	0.05	0 0 0	5.55111512312578e-17
-1	0 0 0 0	3 15 4	0.05	0 0 0.2	0.0577622650466621
-1	0 0 0 0	3 15 5	0.05	0 0 0.4	0.0776298503337453
-1	0 0 0 0	3 15 6	0.05	0 0 0.6	0.0817357710843105
-1	0 0 0 0	3 15 7	0.05	0 0 0.8	0.0796259537522864
-1	0 0 0 0	3 15 8	0.05	0 0 1	0.075371356185596
-1	0 0 0 0	3 15 9	0.05	0 0 1.2	0.0829587683140772
-1	0 0 0 0	3 15 10	0.05	0 0 1.4	0.0655218378268591
-1	0 0 0 0	3 15 11	0.05	0 0 1.6	0.0616502726348815
-1	0 0 0 0	3 15 12	0.05	0 0 1.8	0.0577381679321618
-1	0 0 0 0	3 15 13	0.05	0 0 2	0.0542290473265031
-1	0 0 0 0	3 15 14	0.05	0 0 2.2	0.0510759026136498
-1	0 0 0 0	3 15 15	0.05	0 0 2.4	0.0482396956746853
-1	0 0 0 0	3 15 16	0.05	0 0 2.6	0.045682310360457
-1	0 0 0 0	3 15 17	0.05	0 0 2.8	0.043369299549159
-1	0 0 0 0	3 15 18	0.05	0 0 3	0.0412767864358354
-
-
-# iteration 2
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: it	tl rl c ml	ix iy iz	time	x y z	data
-2	0 0 0 0	3 15 0	0.1	0 0 -0.6	0.0817357710843105
-2	0 0 0 0	3 15 1	0.1	0 0 -0.4	0.0776298503337453
-2	0 0 0 0	3 15 2	0.1	0 0 -0.2	0.0577622650466621
-2	0 0 0 0	3 15 3	0.1	0 0 0	5.55111512312578e-17
-2	0 0 0 0	3 15 4	0.1	0 0 0.2	0.0577622650466621
-2	0 0 0 0	3 15 5	0.1	0 0 0.4	0.0776298503337453
-2	0 0 0 0	3 15 6	0.1	0 0 0.6	0.0817357710843105
-2	0 0 0 0	3 15 7	0.1	0 0 0.8	0.0796259537522864
-2	0 0 0 0	3 15 8	0.1	0 0 1	0.075371356185596
-2	0 0 0 0	3 15 9	0.1	0 0 1.2	0.0941184360401942
-2	0 0 0 0	3 15 10	0.1	0 0 1.4	0.0645743761175071
-2	0 0 0 0	3 15 11	0.1	0 0 1.6	0.0616641919080293
-2	0 0 0 0	3 15 12	0.1	0 0 1.8	0.0577147213265192
-2	0 0 0 0	3 15 13	0.1	0 0 2	0.0542107480786402
-2	0 0 0 0	3 15 14	0.1	0 0 2.2	0.0510608476939198
-2	0 0 0 0	3 15 15	0.1	0 0 2.4	0.0482273550023926
-2	0 0 0 0	3 15 16	0.1	0 0 2.6	0.045672209279059
-2	0 0 0 0	3 15 17	0.1	0 0 2.8	0.0433616332194261
-2	0 0 0 0	3 15 18	0.1	0 0 3	0.0412767864358354
-
-
diff --git a/test/recover/BH_diagnostics.ah1.gp b/test/recover/BH_diagnostics.ah1.gp
deleted file mode 100644
index ed273cf..0000000
--- a/test/recover/BH_diagnostics.ah1.gp
+++ /dev/null
@@ -1,43 +0,0 @@
-# apparent horizon 1/1
-#
-# column  1 = cctk_iteration
-# column  2 = cctk_time
-# column  3 = centroid_x
-# column  4 = centroid_y
-# column  5 = centroid_z
-# column  6 = min radius
-# column  7 = max radius
-# column  8 = mean radius
-# column  9 = quadrupole_xx
-# column 10 = quadrupole_xy
-# column 11 = quadrupole_xz
-# column 12 = quadrupole_yy
-# column 13 = quadrupole_yz
-# column 14 = quadrupole_zz
-# column 15 = min x
-# column 16 = max x
-# column 17 = min y
-# column 18 = max y
-# column 19 = min z
-# column 20 = max z
-# column 21 = xy-plane circumference
-# column 22 = xz-plane circumference
-# column 23 = yz-plane circumference
-# column 24 = ratio of xz/xy-plane circumferences
-# column 25 = ratio of yz/xy-plane circumferences
-# column 26 = area
-# column 27 = m_irreducible
-# column 28 = areal radius
-# column 29 = expansion Theta_(l)
-# column 30 = inner expansion Theta_(n)
-# column 31 = product of the expansions
-# column 32 = mean curvature
-# column 33 = gradient of the areal radius
-# column 34 = gradient of the expansion Theta_(l)
-# column 35 = gradient of the inner expansion Theta_(n)
-# column 36 = gradient of the product of the expansions
-# column 37 = gradient of the mean curvature
-# column 38 = minimum  of the mean curvature    
-# column 39 = maximum  of the mean curvature
-# column 40 = integral of the mean curvature
-2	0.100	0.000022	0.000023	0.000000	1.176443316	2.618210773	1.957478528	1.199896802	4.988653848e-06	0.000000000	1.199887745	0.000000000	1.079961476	-1.896821885	1.896108171	-1.896500208	1.896254245	-1.797239398	1.797239398	12.56261134	11.04891127	11.36763121	0.8795075301	0.9048780473	45.22376326	0.9485242134	1.897048427	-2.744063278e-15	-1.469888902	4.054193638e-15	0.7349444509	0.000000000	0.000000000	0.000000000	0.000000000	0.000000000
diff --git a/test/recover/h.ah1.dx b/test/recover/h.ah1.dx
deleted file mode 100644
index 42d895a..0000000
--- a/test/recover/h.ah1.dx
+++ /dev/null
@@ -1,15 +0,0 @@
-# list the size of each patch (N_rho x N_sigma)
-object "+z patch" class array type int rank 1 shape 2 items 1 data follows 19 19
-object "+x patch" class array type int rank 1 shape 2 items 1 data follows 10 19
-object "+y patch" class array type int rank 1 shape 2 items 1 data follows 10 19
-object "-x patch" class array type int rank 1 shape 2 items 1 data follows 10 19
-object "-y patch" class array type int rank 1 shape 2 items 1 data follows 10 19
-
-# collect all patch sizes into a single OpenDX group
-# for the ImportAHFinderDirectGnuplot macro to read
-object "patchsizes" class group
-member 0 value "+z patch"
-member 1 value "+x patch"
-member 2 value "+y patch"
-member 3 value "-x patch"
-member 4 value "-y patch"
diff --git a/test/recover/h.t2.ah1.gp b/test/recover/h.t2.ah1.gp
deleted file mode 100644
index c9fdec5..0000000
--- a/test/recover/h.t2.ah1.gp
+++ /dev/null
@@ -1,1228 +0,0 @@
-# N_patches = 5
-# origin = 0.4 0.6 0
-
-### +z patch
-# N_rho = 19
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = dsigma = dnu
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--45	-45	2.36781135187752	-0.9670565214	-0.7670565214	1.367056521
--40	-45	2.35127181217036	-0.7997919448	-0.8298563606	1.429856361
--35	-45	2.33202937709569	-0.6347508328	-0.8777773394	1.477777339
--30	-45	2.31073197725082	-0.4733745940	-0.9127291709	1.512729171
--25	-45	2.28783588362452	-0.3164257703	-0.9363800223	1.536380022
--20	-45	2.26365120688269	-0.1642005066	-0.9501281519	1.550128152
--15	-45	2.23837151961878	-0.01668805221	-0.9551009818	1.555100982
--10	-45	2.21209935921395	0.1263101521	-0.9521722588	1.552172259
--5	-45	2.18486806065426	0.2650936056	-0.9419871444	1.541987144
-0	-45	2.15665717479583	0.4000000000	-0.9249869130	1.524986913
-5	-45	2.12740086443281	0.5313580373	-0.9014292364	1.501429236
-10	-45	2.09699432889910	0.6594485897	-0.8714060698	1.471406070
-15	-45	2.06530736213235	0.7844709846	-0.8348652484	1.434865248
-20	-45	2.03217885782171	0.9065075121	-0.7916179523	1.391617952
-25	-45	1.99743112829967	1.025486795	-0.7413607608	1.341360761
-30	-45	1.96087513791895	1.141141138	-0.6836941068	1.283694107
-35	-45	1.92232230033080	1.252958638	-0.6181511787	1.218151179
-40	-45	1.88159683094880	1.360129199	-0.5442374220	1.144237422
-45	-45	1.83856667914639	1.461496967	-0.4614969671	1.061496967
-
--45	-40	2.32684012420019	-1.014998953	-0.5873250993	1.414998953
--40	-40	2.30880898078092	-0.8484104257	-0.6484104257	1.487797610
--35	-40	2.28800203000593	-0.6815021550	-0.6960272632	1.544545147
--30	-40	2.26504650708898	-0.5161699674	-0.7315277099	1.586852932
--25	-40	2.24041208531635	-0.3536622358	-0.7561812529	1.616233880
--20	-40	2.21443414738814	-0.1947381248	-0.7711136080	1.634029568
--15	-40	2.18733979430233	-0.03980614385	-0.7772804081	1.641378874
--10	-40	2.15926869033106	0.1109631154	-0.7754601951	1.639209629
--5	-40	2.13029318156851	0.2575468857	-0.7662610772	1.628246547
-0	-40	2.10043458660791	0.4000000000	-0.7501333272	1.609026243
-5	-40	2.06967168335069	0.5383993431	-0.7273815492	1.581911730
-10	-40	2.03795092242130	0.6727974468	-0.6981804377	1.547111200
-15	-40	2.00519600462669	0.8031826810	-0.6625917467	1.504698250
-20	-40	1.97131244882140	0.9294421017	-0.6205796806	1.454630219
-25	-40	1.93619936795448	1.051326760	-0.5720331727	1.396774744
-30	-40	1.89975558176758	1.168416456	-0.5167881946	1.330936343
-35	-40	1.86189258306296	1.280086999	-0.4546597062	1.256894494
-40	-40	1.82255045879382	1.385482564	-0.3854825640	1.174452386
-45	-40	1.78171557074131	1.483497590	-0.3091624280	1.083497590
-
--45	-35	2.28516026656640	-1.048076980	-0.4139544176	1.448076980
--40	-35	2.26519264392585	-0.8831070009	-0.4707205211	1.529147378
--35	-35	2.24248089767848	-0.7157302521	-0.5157302521	1.593427936
--30	-35	2.21763494508108	-0.5481166818	-0.5498712015	1.642186264
--25	-35	2.19112904831766	-0.3818626452	-0.5740448788	1.676709854
--20	-35	2.16332273692667	-0.2181009008	-0.5891052328	1.698218268
--15	-35	2.13446695518595	-0.05760338475	-0.5958137907	1.707799082
--10	-35	2.10473980875997	0.09911670393	-0.5948299187	1.706393967
--5	-35	2.07425268509290	0.2517258206	-0.5866988703	1.694781626
-0	-35	2.04306717448979	0.4000000000	-0.5718551892	1.673582653
-5	-35	2.01120579487800	0.5437673872	-0.5506291697	1.643268755
-10	-35	1.97866634402842	0.6828604509	-0.5232598620	1.604181333
-15	-35	1.94542195698181	0.8170744692	-0.4899032188	1.556543109
-20	-35	1.91143823738816	0.9461328891	-0.4506528552	1.500487781
-25	-35	1.87667491641958	1.069655681	-0.4055549109	1.436081242
-30	-35	1.84110275230876	1.187135969	-0.3546345933	1.363359492
-35	-35	1.80470178634447	1.297916402	-0.2979164019	1.282357520
-40	-35	1.76749092074360	1.401186359	-0.2354648356	1.193167440
-45	-35	1.72951707830156	1.495972963	-0.1674085304	1.095972963
-
--45	-30	2.24330195622864	-1.068585860	-0.2478884417	1.468585860
--40	-30	2.22103799780483	-0.9056569168	-0.2983693287	1.556021321
--35	-30	2.19614976025497	-0.7387308669	-0.3389310121	1.626276218
--30	-30	2.16923060671008	-0.5701094191	-0.3701094191	1.680278803
--25	-30	2.14075484480082	-0.4016133194	-0.3925028201	1.719065311
--20	-30	2.11110188111190	-0.2346533353	-0.4067231864	1.743695708
--15	-30	2.08055633433844	-0.07029857510	-0.4133525930	1.755178177
--10	-30	2.04932708267145	0.09064631763	-0.4129217382	1.754431915
--5	-30	2.01756242321605	0.2475714277	-0.4058980642	1.742266554
-0	-30	1.98536419786964	0.4000000000	-0.3926820989	1.719375831
-5	-30	1.95279554471039	0.5475353791	-0.3736071784	1.686337100
-10	-30	1.91989656394499	0.6898156555	-0.3489480626	1.643626258
-15	-30	1.88668079355955	0.8264740513	-0.3189238679	1.591622828
-20	-30	1.85316085837257	0.9571094082	-0.2837186026	1.530645519
-25	-30	1.81934110492228	1.081258793	-0.2434880723	1.460964197
-30	-30	1.78524181096564	1.198384409	-0.1983844091	1.382842361
-35	-30	1.75088008954184	1.307853025	-0.1485626182	1.296548487
-40	-30	1.71630930123805	1.408947669	-0.09421578396	1.202417009
-45	-30	1.68160417001451	1.500868343	-0.03558663393	1.100868343
-
--45	-25	2.20157516702496	-1.078452248	-0.08941360528	1.478452248
--40	-25	2.17675655128706	-0.9176488585	-0.1322488661	1.570312761
--35	-25	2.14950080443639	-0.7517397451	-0.1670083997	1.644854821
--30	-25	2.12038785724862	-0.5830602197	-0.1939868280	1.702710247
--25	-25	2.08990011665015	-0.4135597044	-0.2135597044	1.744684416
--20	-25	2.05843324548570	-0.2448357339	-0.2261440432	1.771671618
--15	-25	2.02630056285873	-0.07817789830	-0.2321652845	1.784584212
--10	-25	1.99374332907847	0.08537891439	-0.2320350127	1.784304843
--5	-25	1.96094402488835	0.2449999909	-0.2261377913	1.771658211
-0	-25	1.92803872021190	0.4000000000	-0.2148243725	1.747396506
-5	-25	1.89512538726828	0.5497974692	-0.1984086653	1.712192908
-10	-25	1.86227382076946	0.6938746441	-0.1771697588	1.666645926
-15	-25	1.82952977414173	0.8317428117	-0.1513550521	1.611286109
-20	-25	1.79693803310332	0.9629183545	-0.1211939738	1.546605468
-25	-25	1.76452942840218	1.086898876	-0.08689887555	1.473059392
-30	-25	1.73233793799928	1.203151418	-0.04868014580	1.391099062
-35	-25	1.70040360302183	1.311105689	-0.006756621657	1.301193774
-40	-25	1.66878235140888	1.410158513	0.03863084555	1.203860037
-45	-25	1.63754663214989	1.499682870	0.08720945603	1.099682870
-
--45	-20	2.16011992310042	-1.079230852	0.06160400011	1.479230852
--40	-20	2.13259808840676	-0.9204430861	0.02724086447	1.573642792
--35	-20	2.10287496641770	-0.7558791408	-0.0008298664463	1.650766491
--30	-20	2.07152794092858	-0.5878515235	-0.02275635711	1.711009029
--25	-20	2.03905004111663	-0.4183646708	-0.03876364830	1.754988700
--20	-20	2.00585468961151	-0.2491258230	-0.04912582299	1.783458541
--15	-20	1.97227769327115	-0.08156884539	-0.05414164485	1.797239398
--10	-20	1.93859337669993	0.08310887880	-0.05411960869	1.797178854
--5	-20	1.90501278184217	0.2439108352	-0.04936195816	1.784107317
-0	-20	1.87169435936332	0.4000000000	-0.04015717305	1.758817378
-5	-20	1.83876272990762	0.5506608992	-0.02677929422	1.722061958
-10	-20	1.80630896642884	0.6952673214	-0.009484241764	1.674544192
-15	-20	1.77440061491760	0.8332534198	0.01148787474	1.616923775
-20	-20	1.74309313411121	0.9640920906	0.03590790943	1.549830281
-25	-20	1.71242882110986	1.087276536	0.06355545025	1.473869287
-30	-20	1.68243573307851	1.202304748	0.09421510205	1.389632586
-35	-20	1.65315670339524	1.308684244	0.1276628724	1.297735592
-40	-20	1.62463331251856	1.405925981	0.1636666952	1.198815902
-45	-20	1.59691238372628	1.493551354	0.2019798575	1.093551354
-
--45	-15	2.11899230712381	-1.072162681	0.2055351985	1.472162681
--40	-15	2.08869881711435	-0.9151701289	0.1800274951	1.567358726
--35	-15	2.05649133858789	-0.7521287304	0.1591136256	1.645410350
--30	-15	2.02294860496957	-0.5852942602	0.1427233425	1.706579719
--25	-15	1.98857335773243	-0.4166713982	0.1307251815	1.751357465
--20	-15	1.95379446724167	-0.2480113479	0.1229441833	1.780396546
--15	-15	1.91896794265341	-0.08082199442	0.1191780056	1.794452113
--10	-15	1.88438632520653	0.08360980625	0.1192085944	1.794337954
--5	-15	1.85028093783982	0.2441926349	0.1228129454	1.780886332
-0	-15	1.81683059835383	0.4000000000	0.1297696394	1.754923597
-5	-15	1.78417313041545	0.5502405979	0.1398621347	1.717257892
-10	-15	1.75240903521012	0.6942310856	0.1528819160	1.668667407
-15	-15	1.72161459472928	0.8313725856	0.1686274144	1.609904406
-20	-15	1.69184386751476	0.9611306836	0.1869043692	1.541693883
-25	-15	1.66313150971406	1.083018270	0.2075247945	1.464737408
-30	-15	1.63550303213127	1.196585611	0.2303033314	1.379726750
-35	-15	1.60897578688169	1.301412613	0.2550554394	1.287350626
-40	-15	1.58357074506077	1.397111179	0.2815930727	1.188310830
-45	-15	1.55930012251366	1.483318444	0.3097256978	1.083318444
-
--45	-10	2.07817059192717	-1.058197946	0.3428803589	1.458197946
--40	-10	2.04511241174970	-0.9027423264	0.3262439256	1.552547848
--35	-10	2.01048179041106	-0.7413210242	0.3125913686	1.629975346
--30	-10	1.97485582052353	-0.5761127969	0.3018880366	1.690676958
--25	-10	1.93874599478163	-0.4090833584	0.2940577251	1.735084861
--20	-10	1.90258710638567	-0.2419703835	0.2889946244	1.763799133
--15	-10	1.86674710887431	-0.07629085101	0.2865714469	1.777541655
--10	-10	1.83152583064556	0.08664814725	0.2866481473	1.777106666
--5	-10	1.79716382311998	0.2457287926	0.2890777032	1.763327969
-0	-10	1.76385007419860	0.4000000000	0.2937106489	1.737053228
-5	-10	1.73172555593385	0.5486538895	0.3003989951	1.699121732
-10	-10	1.70088658313023	0.6910010622	0.3089989378	1.650349033
-15	-10	1.67140685212679	0.8264507968	0.3193692553	1.591536041
-20	-10	1.64333161135111	0.9544924704	0.3313736841	1.523455542
-25	-10	1.61668088239635	1.074678169	0.3448809549	1.446852002
-30	-10	1.59146591507425	1.186614511	0.3597621944	1.362456299
-35	-10	1.56767666713473	1.289947050	0.3758926206	1.270976106
-40	-10	1.54530955054170	1.384366506	0.3931468833	1.173122320
-45	-10	1.52434453301388	1.469592687	0.4114019510	1.069592687
-
--45	-5	2.03756887874280	-1.038029634	0.4741887092	1.438029634
--40	-5	2.00183021836521	-0.8838715038	0.4661372287	1.530058477
--35	-5	1.96491251149758	-0.7241443602	0.4595418039	1.605444527
--30	-5	1.92738943691627	-0.5609404305	0.4543840741	1.664397649
--25	-5	1.88977213189765	-0.3961533605	0.4506256712	1.707356391
--20	-5	1.85249083597301	-0.2314587955	0.4482142744	1.734918782
--15	-5	1.81591247147732	-0.06832343451	0.4470867144	1.747806852
--10	-5	1.78033364760559	0.09198944488	0.4471735198	1.746814662
--5	-5	1.74599020476849	0.2484016176	0.4484016176	1.732777440
-0	-5	1.71306563327313	0.4000000000	0.4506964924	1.706546901
-5	-5	1.68169303291444	0.5460156780	0.4539843220	1.668966836
-10	-5	1.65196210867346	0.6858013535	0.4581931231	1.620860020
-15	-5	1.62393168203639	0.8188116303	0.4632529194	1.563026283
-20	-5	1.59763029634222	0.9445844498	0.4690965326	1.496233479
-25	-5	1.57306349572103	1.062725292	0.4756594512	1.421218976
-30	-5	1.55021983860018	1.172894616	0.4828795609	1.338692744
-35	-5	1.52907073358864	1.274795306	0.4906971605	1.249337172
-40	-5	1.50958503261977	1.368170621	0.4990537589	1.153820816
-45	-5	1.49172101926194	1.452793382	0.5078925140	1.052793382
-
--45	0	1.99707344095350	-1.012144173	0.6000000000	1.412144173
--40	0	1.95880655229985	-0.8590965816	0.6000000000	1.500532875
--35	0	1.91980742987169	-0.7011563041	0.6000000000	1.572614181
--30	0	1.88064055494204	-0.5403202775	0.6000000000	1.628682496
--25	0	1.84180071724616	-0.3783786176	0.6000000000	1.669238332
--20	0	1.80370336980481	-0.2169028851	0.6000000000	1.694926747
--15	0	1.76669856202168	-0.05725523481	0.6000000000	1.706499768
--10	0	1.73106380292303	0.09940392520	0.6000000000	1.704765054
--5	0	1.69701528152563	0.2520953727	0.6000000000	1.690557626
-0	0	1.66471686132376	0.4000000000	0.6000000000	1.664716861
-5	0	1.63428673015205	0.5424374738	0.6000000000	1.628067776
-10	0	1.60579661645752	0.6788436562	0.6000000000	1.581400958
-15	0	1.57928681935876	0.8087495065	0.6000000000	1.525473926
-20	0	1.55476839172660	0.9317621082	0.6000000000	1.461004385
-25	0	1.53223173123397	1.047549111	0.6000000000	1.388673550
-30	0	1.51164687982985	1.155823440	0.6000000000	1.309124599
-35	0	1.49297234045020	1.256333755	0.6000000000	1.222971345
-40	0	1.47615671147890	1.348855244	0.6000000000	1.130801646
-45	0	1.46114598620504	1.433186235	0.6000000000	1.033186235
-
--45	5	1.95655120988116	-0.9808508017	0.7208087912	1.380850802
--40	5	1.91597081854869	-0.8288056767	0.7281213367	1.464433580
--35	5	1.87516004024812	-0.6727961532	0.7340424039	1.532111688
--30	5	1.83466174456950	-0.5147090945	0.7386102691	1.584322626
--25	5	1.79493814996016	-0.3562001872	0.7418783127	1.621676535
--20	5	1.75637440958823	-0.1986955766	0.7439103282	1.644902578
--15	5	1.71928336830341	-0.04340280966	0.7447763991	1.654801814
--10	5	1.68390654350944	0.1086720290	0.7445490346	1.652203025
--5	5	1.65042699144659	0.2566990459	0.7433009541	1.637937400
-0	5	1.61897881642493	0.4000000000	0.7411033012	1.612818113
-5	5	1.58965063496440	0.5380239501	0.7380239501	1.577620968
-10	5	1.56249257541067	0.6703224793	0.7341266795	1.533074962
-15	5	1.53752486021594	0.7965273296	0.7294709859	1.479860141
-20	5	1.51474402651907	0.9163309961	0.7241120963	1.418607753
-25	5	1.49412718484028	1.029469744	0.7181011412	1.349902221
-30	5	1.47563453728431	1.135708550	0.7114854555	1.274284588
-35	5	1.45921895170930	1.234832465	0.7043096120	1.192264320
-40	5	1.44482158646313	1.326634660	0.6966154971	1.104320185
-45	5	1.43238463394251	1.410916280	0.6884437142	1.010916280
-
--45	10	1.91585885501126	-0.9443080457	0.8370377788	1.344308046
--40	10	1.87324233379308	-0.7932606060	0.8507497704	1.422072614
--35	10	1.83095097614834	-0.6394040142	0.8617437853	1.484422771
--30	10	1.78948943065281	-0.4844916753	0.8701302050	1.531984521
--25	10	1.74926844442493	-0.3300100124	0.8760419202	1.565511524
--20	10	1.71061964310779	-0.1771967783	0.8796255177	1.585835115
--15	10	1.67380163795347	-0.02706181398	0.8810328315	1.593816388
--10	10	1.63900210448287	0.1195866214	0.8804133786	1.590303296
--5	10	1.60635831247527	0.2621078206	0.8779115680	1.576114823
-0	10	1.57596320203637	0.4000000000	0.8736631381	1.552020780
-5	10	1.54787028240904	0.5328714802	0.8677927172	1.518727968
-10	10	1.52210303853172	0.6604133664	0.8604133664	1.476877590
-15	10	1.49866352223395	0.7823762314	0.8516269811	1.427047523
-20	10	1.47753465475183	0.8985493099	0.8415244058	1.369752972
-25	10	1.45868746308280	1.008743876	0.8301870188	1.305455455
-30	10	1.44208204157964	1.112778483	0.8176877442	1.234568546
-35	10	1.42767428547441	1.210469752	0.8040933245	1.157470761
-40	10	1.41541251070666	1.301621728	0.7894652687	1.074510934
-45	10	1.40524540678158	1.386023945	0.7738626252	0.9860239452
-
--45	15	1.87484763093854	-0.9025439995	0.9490156128	1.302544000
--40	15	1.83053849121288	-0.7526168942	0.9680644759	1.373635324
--35	15	1.78715976583818	-0.6012384071	0.9831450077	1.429916635
--30	15	1.74515145506054	-0.4499908043	0.9944821051	1.472227259
--25	15	1.70485694785567	-0.3001541592	1.002321811	1.501485440
--20	15	1.66652904058273	-0.1527345624	1.006914538	1.518625729
--15	15	1.63035208102673	-0.008505593960	1.008505594	1.524563632
--10	15	1.59644834103294	0.1319548581	1.007325521	1.520159540
--5	15	1.56489644273547	0.2682241240	1.003586455	1.506205155
-0	15	1.53573934719296	0.4000000000	0.9974785914	1.483410298
-5	15	1.50899188611467	0.5270682981	0.9891686818	1.452397293
-10	15	1.48464992992905	0.6492740861	0.9788007359	1.413703592
-15	15	1.46269715353188	0.7664975047	0.9664975047	1.367787308
-20	15	1.44310870142823	0.8786331574	0.9523622426	1.315033792
-25	15	1.42585607718948	0.9855735076	0.9364816034	1.255766440
-30	15	1.41090828722752	1.087194837	0.9189282338	1.190256373
-35	15	1.39823420346294	1.183346746	0.8997641648	1.118735093
-40	15	1.38780292746838	1.273844012	0.8790440953	1.041406741
-45	15	1.37958183778568	1.358459778	0.8568185236	0.9584597783
-
--45	20	1.83337388828339	-0.8554780827	1.056956652	1.255478083
--40	20	1.78778356104114	-0.7069438988	1.080151123	1.319204368
--35	20	1.74376952440678	-0.5584910429	1.098226869	1.368867072
--30	20	1.70168019422313	-0.4114818724	1.111570294	1.405527832
--25	20	1.66176205316852	-0.2669416288	1.120572409	1.430260939
--20	20	1.62417419897657	-0.1256080707	1.125608071	1.444096306
--15	20	1.58900857813089	0.01201354713	1.127023496	1.447985155
--10	20	1.55630954979013	0.1455986985	1.125129512	1.442781476
--5	20	1.52608985502624	0.2749582716	1.120198450	1.429233495
-0	20	1.49833809564467	0.4000000000	1.112461810	1.407977252
-5	20	1.47302762259029	0.5206940203	1.102111120	1.379538964
-10	20	1.45012715992653	0.6370442544	1.089301481	1.344344771
-15	20	1.42960477150875	0.7490650031	1.074154334	1.302728327
-20	20	1.41143236038793	0.8567614979	1.056761498	1.254941901
-25	20	1.39558689609470	0.9601132821	1.037188965	1.201166810
-30	20	1.38205445628308	1.059061639	1.015482302	1.141528244
-35	20	1.37082733592033	1.153497354	0.9916704599	1.076105744
-40	20	1.36190545450449	1.243252487	0.9657715887	1.004949181
-45	20	1.35529164371257	1.328091627	0.9377977268	0.9280916267
-
--45	25	1.79130474405221	-0.8029380439	1.160939222	1.202938044
--40	25	1.74491999000389	-0.6562466582	1.186981435	1.258785750
--35	25	1.70078172657305	-0.5113082945	1.206891548	1.301483124
--30	25	1.65911583768687	-0.3692039804	1.221261868	1.332300376
--25	25	1.62004718469386	-0.2306545936	1.230654594	1.352443140
--20	25	1.58362134284919	-0.09609363482	1.235580164	1.363006060
--15	25	1.54982819669756	0.03426275282	1.236486633	1.364949989
--10	25	1.51862794654288	0.1603541207	1.233758420	1.359099318
--5	25	1.48996171938998	0.2822281120	1.227714850	1.346138839
-0	25	1.46376292455521	0.4000000000	1.218612943	1.326619737
-5	25	1.43996521164591	0.5138199857	1.206651523	1.300968390
-10	25	1.41851161465261	0.6238471009	1.191977569	1.269499994
-15	25	1.39935740022011	0.7302282953	1.174690976	1.232428776
-20	25	1.38247397536101	0.8330811419	1.154850463	1.189880658
-25	25	1.36784899806158	0.9324784747	1.132478475	1.141903774
-30	25	1.35549026623094	1.028436234	1.107568185	1.088483486
-35	25	1.34542088223903	1.120899802	1.080087803	1.029551615
-40	25	1.33768043575257	1.209733683	1.049988301	0.9650030258
-45	25	1.33232098570563	1.294710744	1.017210472	0.8947107441
-
--45	30	1.74853260867467	-0.7446832906	1.260883206	1.144683291
--40	30	1.70191816873627	-0.6004877139	1.288394834	1.192334827
--35	30	1.65822112935718	-0.4598082054	1.308947664	1.227933375
--30	30	1.61751465296166	-0.3233745437	1.323374544	1.252921463
--25	30	1.57977794635249	-0.1915535105	1.332421123	1.268590597
--20	30	1.54493013140151	-0.06444705940	1.336732319	1.276057808
--15	30	1.51285412570878	0.05802745741	1.336848422	1.276258904
--10	30	1.48342262796865	0.1760717377	1.333211911	1.269960283
--5	30	1.45650842669213	0.2899595385	1.326172826	1.257768230
-0	30	1.43199260398656	0.4000000000	1.315996302	1.240141973
-5	30	1.40977209923780	0.5065094918	1.302871450	1.217409062
-10	30	1.38976750285243	0.6097906665	1.286920954	1.189781993
-15	30	1.37192249330520	0.7101157047	1.268206476	1.157367566
-20	30	1.35621029974572	0.8077128621	1.246737311	1.120181882
-25	30	1.34263095417713	0.9027529698	1.222474363	1.078157223
-30	30	1.33121574412859	0.9953377793	1.195337779	1.031155281
-35	30	1.32202184368689	1.085484709	1.165210684	0.9789736213
-40	30	1.31513563633790	1.173114166	1.131948359	0.9213615853
-45	30	1.31066846802655	1.258033924	1.095386117	0.8580339237
-
--45	35	1.70498456367211	-0.6804270207	1.356523144	1.080427021
--40	35	1.65878903010227	-0.5396127183	1.384083181	1.119786833
--35	35	1.61615173652020	-0.4041046799	1.404104680	1.148380496
--30	35	1.57696177529304	-0.2742064419	1.417674223	1.167759812
--25	35	1.54103733992802	-0.1498898077	1.425714487	1.179242498
--20	35	1.50816509253990	-0.03091037061	1.428987267	1.183916513
--15	35	1.47812461815553	0.08310831578	1.428104552	1.182655866
--10	35	1.45070540195257	0.1926142599	1.423544179	1.176142978
--5	35	1.42571716982536	0.2980852020	1.415665790	1.164891472
-0	35	1.40299568741791	0.4000000000	1.404725267	1.149266785
-5	35	1.38240718017795	0.4988188622	1.390887750	1.129504764
-10	35	1.36385266964885	0.5949696988	1.374239157	1.105728108
-15	35	1.34726793154503	0.6888376248	1.354793401	1.077956691
-20	35	1.33262672177222	0.7807558452	1.332499770	1.046118087
-25	35	1.31994008743023	0.8709954665	1.307246751	1.010053037
-30	35	1.30926037652312	0.9597547092	1.278867731	0.9695235962
-35	35	1.30067980702683	1.047143889	1.247143889	0.9242172550
-40	35	1.29433193812231	1.133167828	1.211810113	0.8737553933
-45	35	1.29039105901079	1.217704393	1.172562780	0.8177043929
-
--45	40	1.66064353413996	-0.6098712142	1.447382563	1.009871214
--40	40	1.61559728508844	-0.4735796297	1.473579630	1.041091662
--35	40	1.57467783811372	-0.3443251593	1.491968356	1.063006493
--30	40	1.53756833357436	-0.2219183252	1.503873203	1.077194137
--25	40	1.50392112798315	-0.1059107506	1.510363613	1.084929106
--20	40	1.47339414866940	0.004285512832	1.512283063	1.087216618
--15	40	1.44567192514876	0.1093202454	1.510281806	1.084831613
--10	40	1.42047360328162	0.2098572601	1.504845658	1.078353064
--5	40	1.39755854703695	0.3065449915	1.496322564	1.068195635
-0	40	1.37672644252438	0.4000000000	1.484942699	1.054633641
-5	40	1.35781914652983	0.4907976272	1.470835745	1.037821628
-10	40	1.34072250381076	0.5794673620	1.454043985	1.017809987
-15	40	1.32536495336116	0.6664897566	1.434529317	0.9945533112
-20	40	1.31171937295117	0.7522929417	1.412178716	0.9679169025
-25	40	1.29980427233235	0.8372469691	1.386806230	0.9376791513
-30	40	1.28968719264110	0.9216549283	1.358154073	0.9035328399
-35	40	1.28148964737560	1.005739766	1.325893377	0.8650860401
-40	40	1.27538701683789	1.089622425	1.289622425	0.8218600027
-45	40	1.27161513379445	1.173295107	1.248871639	0.7732951069
-
--45	45	1.61556904344246	-0.5327492221	1.532749222	0.9327492221
--40	45	1.57247830038351	-0.4023941717	1.556256137	0.9562561368
--35	45	1.53396129597612	-0.2806379646	1.572051752	0.9720517524
--30	45	1.49948557092222	-0.1667522736	1.581643733	0.9816437332
--25	45	1.46854769125981	-0.05986926702	1.586192826	0.9861928257
--20	45	1.44069426840242	0.04091621818	1.586574582	0.9865745822
--15	45	1.41553228067790	0.1364890575	1.583436226	0.9834362259
--10	45	1.39272762012977	0.2276861259	1.577240542	0.9772405417
--5	45	1.37200367969704	0.3152845552	1.568301965	0.9683019649
-0	45	1.35313688115350	0.4000000000	1.556812265	0.9568122645
-5	45	1.33595380549087	0.4824895170	1.542859494	0.9428594938
-10	45	1.32032968377396	0.5633565097	1.526440803	0.9264408035
-15	45	1.30618629956350	0.6431554459	1.507468478	0.9074684783
-20	45	1.29349354993120	0.7223949493	1.485772843	0.8857728434
-25	45	1.28227046648777	0.8015373713	1.461099672	0.8610996716
-30	45	1.27259111488062	0.8809942301	1.433106445	0.8331064447
-35	45	1.26459257538052	0.9611156675	1.401356222	0.8013562221
-40	45	1.25848186214322	1.042170077	1.365308496	0.7653084964
-45	45	1.25454604135564	1.124312495	1.324312495	0.7243124947
-
-
-### +x patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = drho = dnu
-# dpy = dsigma = dphi
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-45	1.83856679508640	1.461497034	-0.4614970341	1.061497034
-45	-40	1.78171566785570	1.483497649	-0.3091624776	1.083497649
-45	-35	1.72951710055738	1.495972977	-0.1674085403	1.095972977
-45	-30	1.68160422886388	1.500868381	-0.03558665617	1.100868381
-45	-25	1.63754675568733	1.499682953	0.08720941735	1.099682953
-45	-20	1.59691242641016	1.493551383	0.2019798469	1.093551383
-45	-15	1.55930013792395	1.483318455	0.3097256950	1.083318455
-45	-10	1.52434453973357	1.469592691	0.4114019501	1.069592691
-45	-5	1.49172102792891	1.452793388	0.5078925135	1.052793388
-45	0	1.46114599092947	1.433186238	0.6000000000	1.033186238
-45	5	1.43238463423080	1.410916280	0.6884437143	1.010916280
-45	10	1.40524541241778	1.386023949	0.7738626259	0.9860239491
-45	15	1.37958183286549	1.358459775	0.8568185226	0.9584597748
-45	20	1.35529165976321	1.328091638	0.9377977308	0.9280916377
-45	25	1.33232100113161	1.294710754	1.017210477	0.8947107544
-45	30	1.31066850011333	1.258033945	1.095386129	0.8580339447
-45	35	1.29039107097355	1.217704400	1.172562785	0.8177044004
-45	40	1.27161516943999	1.173295129	1.248871657	0.7732951286
-45	45	1.25454604202647	1.124312495	1.324312495	0.7243124951
-
-50	-45	1.85265984912105	1.526640253	-0.5266402530	0.9453634207
-50	-40	1.79317175576913	1.555520736	-0.3695970232	0.9695970232
-50	-35	1.73786395052116	1.573167373	-0.2214606381	0.9844043100
-50	-30	1.68658562896085	1.581593112	-0.08219310108	0.9914743442
-50	-25	1.63908486229592	1.582436260	0.04862091666	0.9921818297
-50	-20	1.59506380125888	1.576996578	0.1716082796	0.9876173948
-50	-15	1.55421681338163	1.566283652	0.2874952373	0.9786281823
-50	-10	1.51624750105505	1.551059854	0.3970370913	0.9658538991
-50	-5	1.48088409353637	1.531883833	0.5009729962	0.9497633069
-50	0	1.44788230464670	1.509142194	0.6000000000	0.9306808057
-50	5	1.41703814368818	1.483084472	0.6947576129	0.9088157806
-50	10	1.38818579256105	1.453841761	0.7858207358	0.8842782326
-50	15	1.36120052788589	1.421444311	0.8736951784	0.8570935450
-50	20	1.33600043207242	1.385833881	0.9588141885	0.8272128457
-50	25	1.31255208722439	1.346875428	1.041535264	0.7945228227
-50	30	1.29087190042946	1.304362826	1.122134121	0.7588505137
-50	35	1.27103158572360	1.258026191	1.200796407	0.7199694606
-50	40	1.25316318840150	1.207538957	1.277605641	0.6776056410
-50	45	1.23746450381271	1.152527412	1.352527412	0.6314454739
-
-55	-45	1.86482882285505	1.581718294	-0.5817182937	0.8274480573
-55	-40	1.80331842829178	1.617353259	-0.4214806703	0.8523999283
-55	-35	1.74547696306562	1.640274446	-0.2684495168	0.8684495168
-55	-30	1.69134560563765	1.652462462	-0.1231095393	0.8769836569
-55	-25	1.64084148883461	1.655615270	0.01449698373	0.8791912774
-55	-20	1.59380614794659	1.651145134	0.1446204124	0.8760612544
-55	-15	1.55004316882177	1.640198305	0.2676898657	0.8683962021
-55	-10	1.50934249571333	1.623682337	0.3842317881	0.8568315969
-55	-5	1.47149741345499	1.602296517	0.4948126845	0.8418570846
-55	0	1.43631301859305	1.576558745	0.6000000000	0.8238353027
-55	5	1.40362358692781	1.546839767	0.7003354785	0.8030258497
-55	10	1.37329069311625	1.513379879	0.7963189124	0.7795969841
-55	15	1.34521257207875	1.476312186	0.8883969811	0.7536419063
-55	20	1.31932517418638	1.435676311	0.9769553496	0.7251883603
-55	25	1.29560612670096	1.391432048	1.062312356	0.6942081934
-55	30	1.27407642829102	1.343469445	1.144712338	0.6606244173
-55	35	1.25480437835659	1.291619791	1.224318899	0.6243188991
-55	40	1.23790736570360	1.235665261	1.301206412	0.5851391153
-55	45	1.22355505112660	1.175351265	1.375351265	0.5429068007
-
-60	-45	1.87512297786341	1.627556140	-0.6275561405	0.7087298682
-60	-40	1.81209279168245	1.669521288	-0.4652548447	0.7329584575
-60	-35	1.75222765502171	1.697546376	-0.3085517540	0.7491387497
-60	-30	1.69572778173124	1.713505092	-0.1583525183	0.7583525183
-60	-25	1.64265960936814	1.719085723	-0.01509977443	0.7615744973
-60	-20	1.59300112461134	1.715762753	0.1211015224	0.7596559799
-60	-15	1.54666892486406	1.704785407	0.2503838038	0.7533182061
-60	-10	1.50354514154935	1.687187196	0.3730341681	0.7431578742
-60	-5	1.46349714579445	1.663803340	0.4894315348	0.7296571987
-60	0	1.42638640947849	1.635286866	0.6000000000	0.7131932047
-60	5	1.39209069253029	1.602140279	0.7051736464	0.6940560137
-60	10	1.36050127803540	1.564727135	0.8053728191	0.6724555251
-60	15	1.33153695504557	1.523297921	0.9009867709	0.6485363572
-60	20	1.30514449969583	1.478003332	0.9923611254	0.6223855140
-60	25	1.28130499833631	1.428911358	1.079789246	0.5940422498
-60	30	1.26003349775153	1.376017750	1.163504111	0.5635041110
-60	35	1.24138192703751	1.319258760	1.243671913	0.5307342925
-60	40	1.22543971587768	1.258522154	1.320385623	0.4956679967
-60	45	1.21233515608051	1.193659660	1.393659660	0.4582196184
-
-65	-45	1.88362461918505	1.664934804	-0.6649348038	0.5898487861
-65	-40	1.81947627835714	1.712570676	-0.5013775702	0.6120617581
-65	-35	1.75802886541306	1.745290148	-0.3419823026	0.6273190984
-65	-30	1.69960506335600	1.764813965	-0.1879757098	0.6364232036
-65	-25	1.64440304220193	1.772775827	-0.04013588125	0.6401358812
-65	-20	1.59252267852540	1.770667345	0.1011178855	0.6391526796
-65	-15	1.54398871503791	1.759807096	0.2356407868	0.6340884624
-65	-10	1.49877667900940	1.741333384	0.3634867342	0.6254740292
-65	-5	1.45682724825591	1.716202769	0.4848471788	0.6137554310
-65	0	1.41806120073738	1.685199909	0.6000000000	0.5992985597
-65	5	1.38240093977273	1.648960676	0.7092699004	0.5823999281
-65	10	1.34976770776331	1.607977488	0.8129990232	0.5632891534
-65	15	1.32009831234762	1.562624464	0.9115242862	0.5421406911
-65	20	1.29334600503147	1.513169161	1.005160440	0.5190793047
-65	25	1.26948718787255	1.459789650	1.094188030	0.4941880299
-65	30	1.24852374422537	1.402587412	1.178844112	0.4675141880
-65	35	1.23048308467247	1.341598175	1.259314140	0.4390744398
-65	40	1.21541983286742	1.276804194	1.335726076	0.4088605104
-65	45	1.20341665511479	1.208145952	1.408145952	0.3768446462
-
-70	-45	1.89042377686486	1.694545337	-0.6945453375	0.4711759698
-70	-40	1.82547220435940	1.747014794	-0.5302796172	0.4902732903
-70	-35	1.76281953807951	1.783821420	-0.3689621902	0.5036698066
-70	-30	1.70288241854599	1.806520827	-0.2120551783	0.5119317150
-70	-25	1.64596370806727	1.816663471	-0.06060102546	0.5156233353
-70	-20	1.59226745521853	1.815727175	0.08471744855	0.5152825514
-70	-15	1.54191478970049	1.805070908	0.2235123849	0.5114039875
-70	-10	1.49496714891980	1.785913818	0.3556260010	0.5044313770
-70	-5	1.45143615398792	1.759317841	0.4810750987	0.4947512332
-70	0	1.41129925375255	1.726187494	0.6000000000	0.4826927730
-70	5	1.37451967723436	1.687283024	0.7126226713	0.4685327036
-70	10	1.34104661216873	1.643221319	0.8192134615	0.4524955546
-70	15	1.31083179654881	1.594496372	0.9200643383	0.4347611244
-70	20	1.28383129058366	1.541488410	1.015467804	0.4154678040
-70	25	1.26001279074815	1.484479618	1.105701151	0.3947183006
-70	30	1.23936057902783	1.423668134	1.191015072	0.3725847304
-70	35	1.22187421475906	1.359176861	1.271622869	0.3491118269
-70	40	1.20757262801513	1.291067085	1.347694062	0.3243218956
-70	45	1.19649427339575	1.219348604	1.419348604	0.2982185034
-
-75	-45	1.89561166813681	1.716969744	-0.7169697436	0.3528809792
-75	-40	1.83009968021790	1.773306041	-0.5523405924	0.3679762446
-75	-35	1.76656609635389	1.813439524	-0.3897010094	0.3787299790
-75	-30	1.70549250922263	1.838770575	-0.2306745787	0.3855174136
-75	-25	1.64725990921373	1.850759122	-0.07650008890	0.3887297353
-75	-20	1.59215425341072	1.850851654	0.07193318378	0.3887545289
-75	-15	1.54037688630345	1.840426646	0.2140388434	0.3859611566
-75	-10	1.49206237097643	1.820761818	0.3494813583	0.3806919818
-75	-5	1.44728411246923	1.793003863	0.4781279537	0.3732542603
-75	0	1.40606959236436	1.758158933	0.6000000000	0.3639175892
-75	5	1.36841823387010	1.717095842	0.7152309549	0.3529147672
-75	10	1.33430184124458	1.670540124	0.8240305040	0.3404402002
-75	15	1.30368309901950	1.619091179	0.9266544968	0.3266544968
-75	20	1.27651887629267	1.563228700	1.023380622	0.3116861908
-75	25	1.25276684338751	1.503324931	1.114488865	0.2956350243
-75	30	1.23239149812268	1.439657820	1.200246722	0.2785754733
-75	35	1.21536753037676	1.372422434	1.280897519	0.2605598059
-75	40	1.20168164711817	1.301741410	1.356650884	0.2416208825
-75	45	1.19133359330320	1.227674952	1.427674952	0.2217748350
-
-80	-45	1.89926003604939	1.732661089	-0.7326610887	0.2349841061
-80	-40	1.83338290766713	1.791813316	-0.5678700401	0.2454142397
-80	-35	1.76925084286507	1.834400087	-0.4043777535	0.2529234364
-80	-30	1.70738901727333	1.861698236	-0.2439118703	0.2577368367
-80	-25	1.64823098413382	1.875087833	-0.08784475306	0.2600977839
-80	-20	1.59212072666043	1.875980336	0.06278709129	0.2602551563
-80	-15	1.53931992033556	1.865761091	0.2072504994	0.2584532276
-80	-10	1.49001967176131	1.845747500	0.3450757085	0.2549242915
-80	-5	1.44434120461157	1.817148070	0.4760156093	0.2498814404
-80	0	1.40235041254643	1.781045559	0.6000000000	0.2435155936
-80	5	1.36407500805835	1.738393074	0.7170942213	0.2359948098
-80	10	1.32950450138611	1.690001632	0.8274620930	0.2274620930
-80	15	1.29860837260337	1.636552324	0.9313331966	0.2180375378
-80	20	1.27134266026260	1.578602059	1.028976068	0.2078193426
-80	25	1.24765620990407	1.516592585	1.120675673	0.1968853992
-80	30	1.22749735254048	1.450862280	1.206715620	0.1852953730
-80	35	1.21081958233281	1.381658266	1.287364518	0.1730928381
-80	40	1.19758509678948	1.309147171	1.362865056	0.1603071758
-80	45	1.18776372379436	1.233422737	1.433422737	0.1469549148
-
-85	-45	1.90142587640457	1.741945681	-0.7419456810	0.1174050342
-85	-40	1.83534333693668	1.802807593	-0.5770953343	0.1227297615
-85	-35	1.77086432466787	1.846896196	-0.4131276236	0.1265870145
-85	-30	1.70854068397672	1.875410751	-0.2518287944	0.1290817148
-85	-25	1.64883777452436	1.889678922	-0.09464868960	0.1303300180
-85	-20	1.59212063543040	1.891073500	0.05729362905	0.1304520277
-85	-15	1.53870071712209	1.880991897	0.2031694171	0.1295700018
-85	-10	1.48880710125542	1.860776791	0.3424256390	0.1278014092
-85	-5	1.44258499332144	1.831668245	0.4747452587	0.1252547413
-85	0	1.40012611138839	1.794798209	0.6000000000	0.1220290312
-85	5	1.36147560283541	1.751172649	0.7182122892	0.1182122892
-85	10	1.32663448973583	1.701657462	0.8295173302	0.1138802717
-85	15	1.29557751401798	1.646987006	0.9341291613	0.1090972266
-85	20	1.26825672437385	1.587764263	1.032310837	0.1039159079
-85	25	1.24461691421760	1.524476654	1.124352075	0.09837895960
-85	30	1.22459486344001	1.457499212	1.210547455	0.09251919276
-85	35	1.20813034082056	1.387110740	1.291182381	0.08636099943
-85	40	1.19517104382942	1.313504837	1.366521572	0.07992131731
-85	45	1.18566716682823	1.236793563	1.436793563	0.07320995046
-
-90	-45	1.90214304070827	1.745018243	-0.7450182429	0.000000000
-90	-40	1.83599422556111	1.806453174	-0.5801543396	0.000000000
-90	-35	1.77140150724474	1.851047166	-0.4160341639	0.000000000
-90	-30	1.70892641767153	1.879973691	-0.2544632088	0.000000000
-90	-25	1.64904794010455	1.894544989	-0.09691777397	0.000000000
-90	-20	1.59212506121324	1.896108171	0.05546115837	0.000000000
-90	-15	1.53849494995536	1.886072006	0.2018082062	0.000000000
-90	-10	1.48840429560035	1.865792090	0.3415413064	0.000000000
-90	-5	1.44200040883513	1.836513162	0.4743213833	0.000000000
-90	0	1.39938518199753	1.799385182	0.6000000000	0.000000000
-90	5	1.36060943456850	1.755431905	0.7185849259	0.000000000
-90	10	1.32567856901681	1.705538533	0.8302016677	0.000000000
-90	15	1.29456897712869	1.650457609	0.9350591065	0.000000000
-90	20	1.26723048980940	1.590807140	1.033418354	0.000000000
-90	25	1.24360749200229	1.527091154	1.125571237	0.000000000
-90	30	1.22363234831307	1.459696699	1.211816174	0.000000000
-90	35	1.20723998369574	1.388913101	1.292444408	0.000000000
-90	40	1.19437323797865	1.314942982	1.367728319	0.000000000
-90	45	1.18497552744154	1.237904231	1.437904231	0.000000000
-
-
-### +y patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = 90 - dsigma = 90 - dphi
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
-45	45	1.25454608414182	1.124312519	1.324312519	0.7243125194
-40	45	1.25848194222808	1.042170118	1.365308545	0.7653085451
-35	45	1.26459262551878	0.9611156898	1.401356254	0.8013562539
-30	45	1.27259117659454	0.8809942534	1.433106485	0.8331064851
-25	45	1.28227049143023	0.8015373791	1.461099688	0.8610996883
-20	45	1.29349355701422	0.7223949511	1.485772848	0.8857728483
-15	45	1.30618630740894	0.6431554474	1.507468484	0.9074684838
-10	45	1.32032968959495	0.5633565104	1.526440808	0.9264408075
-5	45	1.33595380935693	0.4824895172	1.542859497	0.9428594965
-0	45	1.35313688560206	0.4000000000	1.556812268	0.9568122677
--5	45	1.37200368892715	0.3152845546	1.568301971	0.9683019714
--10	45	1.39272763885291	0.2276861235	1.577240555	0.9772405548
--15	45	1.41553230663243	0.1364890526	1.583436244	0.9834362439
--20	45	1.44069431091441	0.04091620759	1.586574611	0.9865746114
--25	45	1.46854776504065	-0.05986929013	1.586192875	0.9861928752
--30	45	1.49948563456788	-0.1667522977	1.581643775	0.9816437748
--35	45	1.53396153916743	-0.2806380725	1.572051907	0.9720519065
--40	45	1.57247843600787	-0.4023942409	1.556256219	0.9562562193
--45	45	1.61556920355050	-0.5327493146	1.532749315	0.9327493146
-
-45	50	1.23746451983151	1.152527422	1.352527422	0.6314454821
-40	50	1.23948122193709	1.070207580	1.398722291	0.6702075801
-35	50	1.24403313278270	0.9880346680	1.439800539	0.7046763225
-30	50	1.25085260442011	0.9059470462	1.476325990	0.7353248150
-25	50	1.25973830857719	0.8237690005	1.508775554	0.7625532324
-20	50	1.27054956151006	0.7412358252	1.537537724	0.7866875588
-15	50	1.28320399570102	0.6580124965	1.562915746	0.8079822474
-10	50	1.29767203753228	0.5737046828	1.585128210	0.8266207175
-5	50	1.31397410328464	0.4878657007	1.604309555	0.8427157770
-0	50	1.33217895795659	0.4000000000	1.620508288	0.8563081281
--5	50	1.35240150641920	0.3095646515	1.633680764	0.8673611477
--10	50	1.37480435434915	0.2159704861	1.643683237	0.8757542190
--15	50	1.39959695200539	0.1185844924	1.650256972	0.8812702380
--20	50	1.42703592729273	0.01673609831	1.653008916	0.8835793927
--25	50	1.45742474957565	-0.09026962602	1.651386606	0.8822181133
--30	50	1.49110939841635	-0.2031265339	1.644645800	0.8765619056
--35	50	1.52847616503810	-0.3224863635	1.631817460	0.8657976501
--40	50	1.56992745423457	-0.4488852121	1.611662001	0.8488852121
--45	50	1.61585544300554	-0.5826346622	1.582634662	0.8245283827
-
-45	55	1.22355509158214	1.175351291	1.375351291	0.5429068186
-40	55	1.22377903176570	1.093203489	1.426127748	0.5784608767
-35	55	1.22681599536646	1.010393480	1.471732232	0.6103934803
-30	55	1.23243441356875	0.9269089168	1.512633015	0.6390325166
-25	55	1.24045563676060	0.8426329550	1.549229435	0.6646576060
-20	55	1.25074991618392	0.7573621433	1.581844419	0.6874948637
-15	55	1.26323901857003	0.6708228625	1.610724683	0.7077170418
-10	55	1.27789298316086	0.5826813230	1.636037266	0.7254411034
-5	55	1.29472759508142	0.4925512466	1.657865589	0.7407254600
-0	55	1.31380465864883	0.4000000000	1.676205772	0.7535673942
--5	55	1.33522880812064	0.3045535979	1.690957368	0.7638965732
--10	55	1.35914878010217	0.2057027462	1.701914483	0.7715688275
--15	55	1.38575211033146	0.1029118420	1.708748100	0.7763537777
--20	55	1.41526618203123	-0.004367451568	1.710990442	0.7779238826
--25	55	1.44795343785751	-0.1166745911	1.708012236	0.7758385202
--30	55	1.48410249884448	-0.2345058459	1.698996363	0.7695255377
--35	55	1.52402002764904	-0.3582652104	1.682914949	0.7582652104
--40	55	1.56800205406643	-0.4881868915	1.658499919	0.7411696224
--45	55	1.61630548989874	-0.6242322202	1.624232220	0.7171751215
-
-45	60	1.21233517875721	1.193659675	1.393659675	0.4582196269
-40	60	1.21095123496661	1.111868441	1.448371771	0.4898076706
-35	60	1.21258600496224	1.028740871	1.497935021	0.5184230263
-30	60	1.21705346302383	0.9442828551	1.542725559	0.5442828551
-25	60	1.22420641712047	0.8584084778	1.583060153	0.5675700440
-20	60	1.23393766095202	0.7709544571	1.619188994	0.5884290403
-15	60	1.24618266420367	0.6816928922	1.651292186	0.6069638266
-10	60	1.26091869049069	0.5903404505	1.679474336	0.6232347986
-5	60	1.27816284004087	0.4965662994	1.703757852	0.6372548932
-0	60	1.29797222348642	0.4000000000	1.724076919	0.6489861117
--5	60	1.32044130784120	0.3002395261	1.740267434	0.6583337101
--10	60	1.34570201943946	0.1968611850	1.752057468	0.6651406894
--15	60	1.37391774292660	0.08943327987	1.759050779	0.6691782791
--20	60	1.40528057665668	-0.02246469157	1.760712201	0.6701375015
--25	60	1.44000487469450	-0.1392149832	1.756350263	0.6676191356
--30	60	1.47831632328836	-0.2611231582	1.745098900	0.6611231582
--35	60	1.52043553919100	-0.3883646694	1.725901431	0.6500394944
--40	60	1.56655698146222	-0.5209144375	1.697503089	0.6336437041
--45	60	1.61681784648841	-0.6584557381	1.658455738	0.6110997053
-
-45	65	1.20341666557586	1.208145959	1.408145959	0.3768446495
-40	65	1.20064532167960	1.126782670	1.466145858	0.4038904465
-35	65	1.20103978989300	1.043537913	1.519067388	0.4285681612
-30	65	1.20446054242964	0.9584154057	1.567203854	0.4510145643
-25	65	1.21079649502792	0.8713408218	1.610793654	0.4713408218
-20	65	1.21996885987372	0.7821739261	1.650014232	0.4896296777
-15	65	1.23193304501722	0.6907185465	1.684976386	0.5059327977
-10	65	1.24668015770486	0.5967313740	1.715719065	0.5202683443
-5	65	1.26423074095552	0.4999293064	1.742197199	0.5326153010
-0	65	1.28464117640464	0.4000000000	1.764280302	0.5429128209
--5	65	1.30799684599597	0.2966112646	1.781738654	0.5510537841
--10	65	1.33441241474194	0.1894241067	1.794235235	0.5568810359
--15	65	1.36402476067409	0.07810970137	1.801310949	0.5601804953
--20	65	1.39698859623438	-0.03762806913	1.802373238	0.5606758489
--25	65	1.43346744595473	-0.1580225305	1.796683178	0.5580225305
--30	65	1.47362244630552	-0.2832050093	1.783345788	0.5518032033
--35	65	1.51759288763304	-0.4131525431	1.761302184	0.5415241016
--40	65	1.56548140800440	-0.5476276936	1.729338708	0.5266192884
--45	65	1.61732339601689	-0.6861020990	1.686102099	0.5064577263
-
-45	70	1.19649428489349	1.219348612	1.419348612	0.2982185063
-40	70	1.19257617648554	1.138408693	1.480001213	0.3202942475
-35	70	1.19192508681189	1.055160848	1.535666659	0.3405548129
-30	70	1.19444408638305	0.9695957014	1.586568695	0.3590816389
-25	70	1.20005813876547	0.8816385885	1.632877286	0.3759365878
-20	70	1.20871816148487	0.7911600254	1.674703337	0.3911600254
-15	70	1.22040278855664	0.6979843882	1.712092877	0.4047687048
-10	70	1.23511676904143	0.6018976968	1.745018737	0.4167527380
-5	70	1.25288948938256	0.5026567778	1.773372340	0.4270726055
-0	70	1.27377851695979	0.4000000000	1.796960273	0.4356579109
--5	70	1.29786143471616	0.2936584000	1.815490050	0.4424021984
--10	70	1.32523652985488	0.1833709251	1.828564534	0.4471609213
--15	70	1.35601439249957	0.06890347766	1.835669044	0.4497467513
--20	70	1.39031298264527	-0.04992693825	1.836164103	0.4499269383
--25	70	1.42824695762503	-0.1732212686	1.829276978	0.4474202295
--30	70	1.46991739368640	-0.3009609226	1.814099932	0.4418962367
--35	70	1.51539181488340	-0.4329595515	1.789589523	0.4329751775
--40	70	1.56469396995603	-0.5688132732	1.754586699	0.4202351913
--45	70	1.61777759908220	-0.7078396673	1.707839667	0.4032206632
-
-45	75	1.19133359745636	1.227674955	1.427674955	0.2217748358
-40	75	1.18651955487428	1.147103921	1.490363782	0.2385722563
-35	75	1.18503922448200	1.063906388	1.548156585	0.2540577913
-30	75	1.18683119799415	0.9780561920	1.601222694	0.2682768124
-25	75	1.19185231499241	0.8894723611	1.649676866	0.2812600685
-20	75	1.20008038935281	0.7980284128	1.693574076	0.2930222907
-15	75	1.21151548142913	0.7035607199	1.732904030	0.3035607199
-10	75	1.22617761503053	0.6058763471	1.767582784	0.3128528642
-5	75	1.24410508453758	0.5047628666	1.797445045	0.3208544328
-0	75	1.26535796546353	0.4000000000	1.822241938	0.3274987403
--5	75	1.29000807978916	0.2913717610	1.841626453	0.3326928054
--10	75	1.31813922353143	0.1786832144	1.855149863	0.3363163921
--15	75	1.34983834222423	0.06178071586	1.862251553	0.3382192841
--20	75	1.38519040214435	-0.05942350369	1.862255702	0.3382203961
--25	75	1.42426711065833	-0.1849209476	1.854367020	0.3361066300
--30	75	1.46711893882582	-0.3145727113	1.837676242	0.3316343494
--35	75	1.51375523351635	-0.4480662488	1.811164123	0.3245304486
--40	75	1.56413567786082	-0.5848736947	1.773726764	0.3144991385
--45	75	1.61815160199026	-0.7242053086	1.724205309	0.3012299046
-
-45	80	1.18776372496694	1.233422738	1.433422738	0.1469549150
-40	80	1.18230846626844	1.153133800	1.497549912	0.1582622660
-35	80	1.18022830608752	1.069998299	1.556856735	0.1687196590
-30	80	1.18148784304841	0.9839744811	1.611473472	0.1783500633
-25	80	1.18606869942802	0.8949737868	1.661474711	0.1871666309
-20	80	1.19397130836211	0.8028694487	1.706874713	0.1951718762
-15	80	1.20521080173304	0.7075032904	1.747617903	0.2023559999
-10	80	1.21982154022685	0.6086966688	1.783577624	0.2086966688
-5	80	1.23784980379365	0.5062588626	1.814544357	0.2141569395
-0	80	1.25935833468374	0.4000000000	1.840225852	0.2186852798
--5	80	1.28441505603925	0.2897439071	1.860232909	0.2222130638
--10	80	1.31309236368238	0.1753458247	1.874077140	0.2246541753
--15	80	1.34545751509508	0.05671348743	1.881162706	0.2259035518
--20	80	1.38156912041147	-0.06616864747	1.880787833	0.2258374514
--25	80	1.42146714671234	-0.1932109807	1.872145053	0.2243134963
--30	80	1.46516402664725	-0.3241872248	1.854329067	0.2211720573
--35	80	1.51262524645016	-0.4586951664	1.826343790	0.2162374978
--40	80	1.56376394588907	-0.5961220073	1.787131981	0.2093233979
--45	80	1.61842803598664	-0.7356086199	1.735608620	0.2002384392
-
-45	85	1.18566716692310	1.236793563	1.436793563	0.07320995047
-40	85	1.17982725138688	1.156680848	1.501777119	0.07889527496
-35	85	1.17738458116013	1.073592452	1.561989718	0.08416319473
-30	85	1.17831971944335	0.9874760112	1.617538300	0.08902306592
-25	85	1.18262954991479	0.8982370490	1.668472800	0.09347925726
-20	85	1.19033057124743	0.8057481388	1.714783849	0.09753094910
-15	85	1.20144636868163	0.7098527592	1.756386240	0.1011706867
-10	85	1.21602048925234	0.6103803107	1.793126031	0.1043850019
-5	85	1.23410517667477	0.5071531490	1.824766097	0.1071531490
-0	85	1.25576524068264	0.4000000000	1.850986675	0.1094471523
--5	85	1.28106693092612	0.2887693219	1.871372469	0.1112306781
--10	85	1.31007703875275	0.1733472282	1.885411744	0.1124589556
--15	85	1.34284674719004	0.05368011369	1.892483411	0.1130776463
--20	85	1.37941300886328	-0.07020069423	1.891865790	0.1130236114
--25	85	1.41980359234344	-0.1981575144	1.882752929	0.1122263394
--30	85	1.46400933512419	-0.3299125614	1.864245641	0.1106071615
--35	85	1.51196351889463	-0.4650081124	1.835359612	0.1080799614
--40	85	1.56355250414386	-0.6027825968	1.795069762	0.1045550563
--45	85	1.61859839496786	-0.7423380487	1.742338049	0.09994162917
-
-45	90	1.18497552745743	1.237904231	1.437904231	0.000000000
-40	90	1.17900735366192	1.157851319	1.503172032	0.000000000
-35	90	1.17644331622318	1.074780165	1.563685947	0.000000000
-30	90	1.17726939013079	0.9886346951	1.619545199	0.000000000
-25	90	1.18148759506899	0.8993182337	1.670791408	0.000000000
-20	90	1.18912029667929	0.8067030943	1.717407568	0.000000000
-15	90	1.20019379723084	0.7106330125	1.759298185	0.000000000
-10	90	1.21475469834722	0.6109399397	1.796299845	0.000000000
-5	90	1.23285746287338	0.5074506079	1.828166068	0.000000000
-0	90	1.25456762207234	0.4000000000	1.854567622	0.000000000
--5	90	1.27995122511708	0.2884449003	1.875080624	0.000000000
--10	90	1.30907457136249	0.1726815863	1.889186787	0.000000000
--15	90	1.34198114410656	0.05266972174	1.896254245	0.000000000
--20	90	1.37869671800001	-0.07154204909	1.895551132	0.000000000
--25	90	1.41925015901376	-0.1998010352	1.886277471	0.000000000
--30	90	1.46362657795095	-0.3318132890	1.867537798	0.000000000
--35	90	1.51174473847471	-0.4671011598	1.838348793	0.000000000
--40	90	1.56348309686528	-0.6049875626	1.797697538	0.000000000
--45	90	1.61865503855036	-0.7445619542	1.744561954	0.000000000
-
-
-### -x patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = drho = dnu
-# dpy = 180 - dsigma = 180 - dphi
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--90	45	1.61865502455858	-0.7445619443	1.744561944	1.401684121e-16
--90	40	1.67699590914022	-0.8846533973	1.677952192	1.573246671e-16
--90	35	1.73815414463081	-1.023812521	1.596964260	1.743667446e-16
--90	30	1.80170850781428	-1.160325338	1.500854254	1.910847431e-16
--90	25	1.86714168573371	-1.292205049	1.389088174	2.072353497e-16
--90	20	1.93387305520471	-1.417246240	1.261423540	2.225484790e-16
--90	15	2.00123747284198	-1.533046960	1.117958372	2.367299772e-16
--90	10	2.06853235547636	-1.637106701	0.9591968740	2.494736201e-16
--90	5	2.13501687508822	-1.726892491	0.7860789815	2.604692082e-16
--90	-2.84217e-14	2.19992976698590	-1.799929767	0.6000000000	2.694136947e-16
--90	-5	2.26252187175507	-1.853912293	0.4028082258	2.760246475e-16
--90	-10	2.32206881194722	-1.886791369	0.1967769824	2.800511730e-16
--90	-15	2.37784498822405	-1.896821885	-0.01543156925	2.812795570e-16
--90	-20	2.42915687138081	-1.882660787	-0.2308205813	2.795453226e-16
--90	-25	2.47541222285037	-1.843485374	-0.4461544107	2.747477182e-16
--90	-30	2.51601006730325	-1.778928634	-0.6580050337	2.668417978e-16
--90	-35	2.55042910095776	-1.689189212	-0.8628660349	2.558518881e-16
--90	-40	2.57820144287956	-1.575016889	-1.057235943	2.418698111e-16
--90	-45	2.59894412037031	-1.437731011	-1.237731011	2.250571401e-16
-
--85	45	1.61859837491569	-0.7423380345	1.742338035	0.09994162794
--85	40	1.67677853480685	-0.8816117910	1.675399981	0.1121265028
--85	35	1.73772087651252	-1.019816127	1.594165955	0.1242178154
--85	30	1.80100060409314	-1.155254539	1.497926627	0.1360671411
--85	25	1.86610936535320	-1.285977742	1.386184333	0.1475039394
--85	20	1.93247025119043	-1.409822143	1.258721389	0.1583389205
--85	15	1.99943754571214	-1.524448836	1.115654512	0.1683674567
--85	10	2.06632662936228	-1.627423150	0.9574894026	0.1773765418
--85	5	2.13241513505200	-1.716278103	0.7851503429	0.1851503429
--85	-2.84217e-14	2.19696710292216	-1.788606980	0.6000000000	0.1914782996
--85	-5	2.25925067234804	-1.842153814	0.4038369594	0.1961630406
--85	-10	2.31855355695656	-1.874901310	0.1988735206	0.1990280752
--85	-15	2.37417518575216	-1.885131978	-0.01229926805	0.1999231427
--85	-20	2.42544611815507	-1.871510306	-0.2267621381	0.1987314008
--85	-25	2.47174604351145	-1.833153582	-0.4413366170	0.1953756223
--85	-30	2.51248939037678	-1.769660865	-0.6526542847	0.1898207294
--85	-35	2.54714603757125	-1.681162211	-0.8572454682	0.1820781004
--85	-40	2.57523696969502	-1.568330341	-1.051625263	0.1722065909
--85	-45	2.59635651432183	-1.432398230	-1.232398230	0.1603140722
-
--80	45	1.61842800651293	-0.7356085992	1.735608599	0.2002384356
--80	40	1.67612701152274	-0.8724324439	1.667697594	0.2243641710
--80	35	1.73642057017522	-1.007783315	1.585740489	0.2482301814
--80	30	1.79888123854717	-1.140024861	1.489133768	0.2715479340
--80	25	1.86302033742265	-1.267314023	1.377481297	0.2939924475
--80	20	1.92828377420755	-1.387621306	1.250640946	0.3152058676
--80	15	1.99407400637066	-1.498784036	1.108777649	0.3348068561
--80	10	2.05975826339871	-1.598557748	0.9523996535	0.3523996535
--80	5	2.12467400121441	-1.684671995	0.7823851667	0.3675839186
--80	-2.84217e-14	2.18815287305543	-1.754909914	0.6000000000	0.3799687589
--80	-5	2.24951759023017	-1.807165108	0.4068980745	0.3891827595
--80	-10	2.30810606045812	-1.839526517	0.2051110510	0.3948889490
--80	-15	2.36326672422513	-1.850334298	-0.002975257815	0.3967946523
--80	-20	2.41436354246580	-1.838243026	-0.2146538385	0.3946626349
--80	-25	2.46078463327106	-1.802284454	-0.4269421062	0.3883221684
--80	-30	2.50194319589951	-1.741917232	-0.6366364903	0.3776777984
--80	-35	2.53728960489012	-1.657078816	-0.8403820937	0.3627184967
--80	-40	2.56631074044350	-1.548215753	-1.034747120	0.3435230014
--80	-45	2.58854517691410	-1.416314442	-1.216314442	0.3202652417
-
--75	45	1.61815156154398	-0.7242052805	1.724205280	0.3012298970
--75	40	1.67504747172555	-0.8569549280	1.654710416	0.3368000579
--75	35	1.73426083219026	-0.9875918994	1.571602308	0.3718041289
--75	30	1.79536904197491	-1.114591319	1.474449706	0.4058335207
--75	25	1.85791181968188	-1.236282475	1.363011049	0.4384405677
--75	20	1.92138417239792	-1.350862643	1.237261886	0.4691422311
--75	15	1.98525858207280	-1.456441360	1.097431963	0.4974319631
--75	10	2.04898177486430	-1.551067950	0.9440259208	0.5227870817
--75	5	2.11199095445025	-1.632780940	0.7778452877	0.5446820114
--75	-2.84217e-14	2.17370977490539	-1.699642410	0.6000000000	0.5625974883
--75	-5	2.23356146915098	-1.749791965	0.4119175741	0.5760350209
--75	-10	2.29096245365413	-1.781485201	0.2153453011	0.5845271979
--75	-15	2.34533211526144	-1.793150847	0.01234700165	0.5876529983
--75	-20	2.39608672797655	-1.783435671	-0.1947055928	0.5850498249
--75	-25	2.44264290835496	-1.751261293	-0.4031496156	0.5764287261
--75	-30	2.48441667047874	-1.695878804	-0.6100561919	0.5615890331
--75	-35	2.52083645585469	-1.616935504	-0.8122734440	0.5404362395
--75	-40	2.55133542388822	-1.514521044	-1.006473902	0.5129943676
--75	-45	2.57537376950807	-1.389232146	-1.189232146	0.4794233086
-
--70	45	1.61777752000887	-0.7078396131	1.707839613	0.4032206435
--70	40	1.67354447628536	-0.8349074192	1.636210360	0.4494695427
--70	35	1.73125407532597	-0.9590423875	1.551611724	0.4946509762
--70	30	1.79049773295083	-1.078887987	1.453836378	0.5382712072
--70	25	1.85085670879287	-1.193012699	1.342834021	0.5798092052
--70	20	1.91189557280872	-1.299917001	1.218719189	0.6187191892
--70	15	1.97317615717428	-1.398058124	1.081788222	0.6544396367
--70	10	2.03425291449734	-1.485860318	0.9325280560	0.6863970219
--70	5	2.09468117192540	-1.561738022	0.7716298377	0.7140142473
--70	-2.84217e-14	2.15400838182272	-1.624105782	0.6000000000	0.7367142555
--70	-5	2.21177382238994	-1.671399152	0.4187760566	0.7539276345
--70	-10	2.26750867159598	-1.702100774	0.2293429174	0.7651021110
--70	-15	2.32072316989058	-1.714760577	0.03335161108	0.7697099028
--70	-20	2.37090560896942	-1.708034984	-0.1672619869	0.7672619869
--70	-25	2.41751956582397	-1.680733398	-0.3702619179	0.7573250222
--70	-30	2.46000337568057	-1.631876039	-0.5731041780	0.7395423979
--70	-35	2.49776306119074	-1.560755456	-0.7729357509	0.7136566227
--70	-40	2.53018017637915	-1.467018365	-0.9666144214	0.6795391117
--70	-45	2.55662524433260	-1.350754159	-1.150754159	0.6372224014
-
--65	45	1.61732323033901	-0.6861019877	1.686101988	0.5064576744
--65	40	1.67163038326056	-0.8059146076	1.611882502	0.5623272166
--65	35	1.72742175741432	-0.9218687800	1.525582484	0.6163975352
--65	30	1.78431797487863	-1.032839983	1.427250550	0.6681442568
--65	25	1.84195711794499	-1.137697354	1.317040052	0.7170400520
--65	20	1.89999134130930	-1.235302355	1.195201381	0.7625540115
--65	15	1.95808596841680	-1.324506901	1.062080231	0.8041507744
--65	10	2.01592006388157	-1.404151959	0.9181206677	0.8412898749
--65	5	2.07317931655252	-1.473059665	0.7638714868	0.8734220660
--65	-2.84217e-14	2.12954508498223	-1.530023293	0.6000000000	0.8999846421
--65	-5	2.18469490376190	-1.573810887	0.4273139235	0.9204031321
--65	-10	2.23828284622685	-1.603156005	0.2467895497	0.9340869857
--65	-15	2.28993561070123	-1.616770370	0.05960800799	0.9404354684
--65	-20	2.33923549285675	-1.613355128	-0.1328013376	0.9388429148
--65	-25	2.38571639378664	-1.591636912	-0.3287155441	0.9287155441
--65	-30	2.42885633316163	-1.550416078	-0.5260732475	0.9094939537
--65	-35	2.46806538709044	-1.488628859	-0.7224321637	0.8806821002
--65	-40	2.50268946282041	-1.405440851	-0.9149447521	0.8418908951
--65	-45	2.53201004553589	-1.300353455	-1.100353455	0.7928878379
-
--60	45	1.61681758995042	-0.6584555701	1.658455570	0.6110996083
--60	40	1.66932870138949	-0.7695032027	1.581329706	0.6752129889
--60	35	1.72280150361740	-0.8757559453	1.493293930	0.7365580384
--60	30	1.77690651492929	-0.9763858680	1.394656751	0.7946567514
--60	25	1.83135471786778	-1.070611348	1.285757334	0.8490578576
--60	20	1.88589498070928	-1.157682750	1.166950155	0.8993285550
--60	15	1.94031192379724	-1.236866587	1.038597080	0.9450453644
--60	10	1.99440859430022	-1.307416116	0.9010635286	0.9857771544
--60	5	2.04800871688140	-1.368558459	0.7547288160	1.021077702
--60	-2.84217e-14	2.10092924977160	-1.419458102	0.6000000000	1.050464625
--60	-5	2.15298120271350	-1.459207477	0.4373404227	1.073413937
--60	-10	2.20395206988052	-1.486806593	0.2673050904	1.089348294
--60	-15	2.25360170892925	-1.501160989	0.09058544820	1.097635809
--60	-20	2.30162223369667	-1.501058801	-0.09192881708	1.097576810
--60	-25	2.34764101822658	-1.485198694	-0.2790825881	1.088419973
--60	-30	2.39121209645746	-1.452224925	-0.4693825593	1.069382559
--60	-35	2.43178620260593	-1.400767935	-0.6609112825	1.039673852
--60	-40	2.46869993224622	-1.329529046	-0.8512471850	0.9985440606
--60	-45	2.50118329618463	-1.237408826	-1.037408826	0.9453584264
-
--55	45	1.61630516592789	-0.6242320149	1.624232015	0.7171749777
--55	40	1.66668043191758	-0.7251140248	1.544082763	0.7878133215
--55	35	1.71745535558529	-0.8203632791	1.454507567	0.8545075674
--55	30	1.76836948106839	-0.9094995994	1.356039946	0.9169214908
--55	25	1.81922602470869	-0.9921198314	1.249156138	0.9747728001
--55	20	1.86988009956098	-1.067864452	1.134258969	1.027809754
--55	15	1.92023211925166	-1.136388578	1.011674079	1.075790864
--55	10	1.97021037481076	-1.197325752	0.8816516270	1.118459532
--55	5	2.01976154608534	-1.250259287	0.7443789795	1.155523993
--55	-2.84217e-14	2.06883405719674	-1.294689647	0.6000000000	1.186634466
--55	-5	2.11736777285570	-1.330009089	0.4486438169	1.211365405
--55	-10	2.16528225130438	-1.355478067	0.2904618528	1.229198975
--55	-15	2.21245978479023	-1.370201586	0.1256759147	1.239508494
--55	-20	2.25872366746186	-1.373108436	-0.04535869281	1.241543893
--55	-25	2.30382293445314	-1.362946193	-0.2220753109	1.234428214
--55	-30	2.34741514844142	-1.338290120	-0.4036022684	1.217163845
--55	-35	2.38903845020011	-1.297566570	-0.5886489089	1.188648909
--55	-40	2.42808173021787	-1.239107747	-0.7753747061	1.147715600
--55	-45	2.46377105378978	-1.161260363	-0.9612603634	1.093206276
-
--50	45	1.61585489004025	-0.5826343260	1.582634326	0.8245281005
--50	40	1.66375035577915	-0.6721215238	1.499616775	0.8996167752
--50	35	1.71147347323784	-0.7553521424	1.408986279	0.9694555566
--50	30	1.75885099608368	-0.8322209947	1.311423123	1.033956182
--50	25	1.80579032932801	-0.9026976288	1.207457881	1.093093100
--50	20	1.85225783968673	-0.9667798980	1.097467200	1.146864508
--50	15	1.89826432943126	-1.024456765	0.9816820399	1.195261146
--50	10	1.94384850335330	-1.075673314	0.8602010200	1.238236934
--50	5	1.98906498860049	-1.120301632	0.7330091579	1.275684538
--50	-2.84217e-14	2.03397725986540	-1.158116977	0.6000000000	1.307415381
--50	-5	2.07863674150019	-1.188763991	0.4610011618	1.333131279
--50	-10	2.12307963750339	-1.211736696	0.3158073347	1.352407667
--50	-15	2.16731069367930	-1.226349046	0.1642210866	1.364668884
--50	-20	2.21128650492436	-1.231706925	0.006107248309	1.369164679
--50	-25	2.25489173392200	-1.226679503	-0.1585331095	1.364946171
--50	-30	2.29792030567381	-1.209883754	-0.3294668189	1.350852864
--50	-35	2.34004624684521	-1.179678264	-0.5061026282	1.325507449
--50	-40	2.38077522952399	-1.134172695	-0.6873237424	1.287323742
--50	-45	2.41941348620408	-1.071294703	-0.8712947028	1.234562842
-
--45	45	1.61556888517595	-0.5327491308	1.532749131	0.9327491308
--45	40	1.66064320679577	-0.6098710152	1.447382396	1.009871015
--45	35	1.70498425406484	-0.6804268246	1.356523007	1.080426825
--45	30	1.74853234518870	-0.7446831181	1.260883106	1.144683118
--45	25	1.79130455937289	-0.8029379199	1.160939164	1.202937920
--45	20	1.83337378003900	-0.8554780086	1.056956625	1.255478009
--45	15	1.87484751935170	-0.9025439220	0.9490155920	1.302543922
--45	10	1.91585882540146	-0.9443080250	0.8370377752	1.344308025
--45	5	1.95655117805048	-0.9808507792	0.7208087892	1.380850779
--45	-2.84217e-14	1.99707341405276	-1.012144154	0.6000000000	1.412144154
--45	-5	2.03756885866643	-1.038029620	0.4741887105	1.438029620
--45	-10	2.07817060446881	-1.058197955	0.3428803574	1.458197955
--45	-15	2.11899240301722	-1.072162748	0.2055351807	1.472162748
--45	-20	2.16011990681310	-1.079230841	0.06160400417	1.479230841
--45	-25	2.20157497417845	-1.078452118	-0.08941354489	1.478452118
--45	-30	2.24330186760004	-1.068585802	-0.2478884082	1.468585802
--45	-35	2.28516009655304	-1.048076873	-0.4139543422	1.448076873
--45	-40	2.32683967546295	-1.014998680	-0.5873248703	1.414998680
--45	-45	2.36781104247974	-0.9670563428	-0.7670563428	1.367056343
-
-
-### -y patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = 90 + dsigma = 90 + dphi
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--45	-90	2.59894412419962	-1.437731014	-1.237731014	2.250571404e-16
--40	-90	2.61235062696648	-1.279186615	-1.401176681	2.450734617e-16
--35	-90	2.61821077338803	-1.101744005	-1.544712707	2.626515552e-16
--30	-90	2.61642922171375	-0.9082146109	-1.665894173	2.774920046e-16
--25	-90	2.60703211514603	-0.7017793808	-1.762773507	2.893563012e-16
--20	-90	2.59014294533241	-0.4858810614	-1.833938213	2.980714641e-16
--15	-90	2.56601797727132	-0.2641343226	-1.878583035	3.035388780e-16
--10	-90	2.53501274745509	-0.04020034396	-1.896500208	3.057330988e-16
--5	-90	2.49749966730417	0.1823285615	-1.887995927	3.046916248e-16
--2.84217e-14	-90	2.45406034197894	0.4000000000	-1.854060342	3.005357143e-16
-5	-90	2.40523387819267	0.6096299451	-1.796081237	2.934353218e-16
-10	-90	2.35164873165866	0.8083595168	-1.715921903	2.836186346e-16
-15	-90	2.29397043192326	0.9937232367	-1.615805285	2.713578850e-16
-20	-90	2.23289331692346	1.163694492	-1.498233373	2.569594784e-16
-25	-90	2.16913836812184	1.316717487	-1.365906994	2.407541708e-16
-30	-90	2.10344992132185	1.451724961	-1.221641067	2.230866902e-16
-35	-90	2.03656612380292	1.568126340	-1.068257304	2.043025967e-16
-40	-90	1.96922236671536	1.665791738	-0.9085118513	1.847394210e-16
-45	-90	1.90214303853574	1.745018241	-0.7450182413	1.647172284e-16
-
--45	-85	2.59635652162399	-1.432398235	-1.232398235	0.1603140727
--40	-85	2.60926791061117	-1.273450968	-1.394341203	0.1744822465
--35	-85	2.61466484794519	-1.095873595	-1.536328893	0.1869045597
--30	-85	2.61247905806706	-0.9025062307	-1.656006969	0.1973750346
--25	-85	2.60275137056923	-0.6965286318	-1.751513239	0.2057307506
--20	-85	2.58562958324005	-0.4813638970	-1.821527405	0.2118561964
--15	-85	2.56137684553550	-0.2605785357	-1.865312658	0.2156869096
--10	-85	2.53034500593030	-0.03776792680	-1.882705284	0.2172085673
--5	-85	2.49295624822722	0.1835451003	-1.874090825	0.2164548997
--2.84217e-14	-85	2.44972105034235	0.4000000000	-1.840399122	0.2135072577
-5	-85	2.40119494252831	0.6084875781	-1.783023922	0.2084875781
-10	-85	2.34798622911315	0.8062185438	-1.703779842	0.2015546195
-15	-85	2.29073684833529	0.9907805388	-1.604822987	0.1928970164
-20	-85	2.23012011836858	1.160181339	-1.488581063	0.1827271659
-25	-85	2.16683700944827	1.312879673	-1.357676777	0.1712745249
-30	-85	2.10160714922532	1.447800325	-1.214843399	0.1587782235
-35	-85	2.03514915389646	1.564327384	-1.062831832	0.1454789347
-40	-85	1.96818539363722	1.662293434	-0.9043427352	0.1316129354
-45	-85	1.90142587272432	1.741945678	-0.7419456784	0.1174050339
-
--45	-80	2.58854521041450	-1.416314466	-1.216314466	0.3202652458
--40	-80	2.59998843837124	-1.256199907	-1.373782190	0.3480310541
--35	-80	2.60401727236749	-1.078262412	-1.511177517	0.3722575573
--30	-80	2.60063734517382	-0.8854180879	-1.626409437	0.3925760539
--25	-80	2.58994975558400	-0.6808456868	-1.717881055	0.4087049681
--20	-80	2.57215706788833	-0.4678964836	-1.784525991	0.4204562684
--15	-80	2.54755036160628	-0.2499942729	-1.825811651	0.4277360442
--10	-80	2.51649775450202	-0.03054224004	-1.841726379	0.4305422400
--5	-80	2.47942582863275	0.1871624104	-1.832744781	0.4289585421
--2.84217e-14	-80	2.43681365150576	0.4000000000	-1.799792977	0.4231482499
-5	-80	2.38917977051011	0.6050907341	-1.744197818	0.4133453234
-10	-80	2.33708173655286	0.7998463357	-1.667641254	0.3998463357
-15	-80	2.28110082620844	0.9820110547	-1.572094827	0.3829989226
-20	-80	2.22184657906448	1.149694821	-1.459769593	0.3631929532
-25	-80	2.15995608904179	1.301399426	-1.333057307	0.3408501584
-30	-80	2.09608397276093	1.436032285	-1.194460557	0.3164118120
-35	-80	2.03089238082652	1.552907817	-1.046523001	0.2903264294
-40	-80	1.96506010437785	1.651748783	-0.8917761088	0.2630403772
-45	-80	1.89926002242193	1.732661079	-0.7326610791	0.2349841044
-
--45	-75	2.57537381680307	-1.389232179	-1.189232179	0.4794233174
--40	-75	2.58442298947597	-1.227307819	-1.339349939	0.5196472501
--35	-75	2.58624516434339	-1.048918020	-1.469269382	0.5544590597
--30	-75	2.58095662442590	-0.8570767946	-1.577320877	0.5834113707
--25	-75	2.56876109224407	-0.6549440908	-1.662334904	0.6061908104
--20	-75	2.54993451612440	-0.4457320003	-1.723629574	0.6226146678
--15	-75	2.52481243543047	-0.2326240912	-1.760985250	0.6326240912
--10	-75	2.49377906822872	-0.01870779469	-1.774609904	0.6362748060
--5	-75	2.45724916687183	0.1930814125	-1.765090277	0.6337240299
--2.84217e-14	-75	2.41566439378274	0.4000000000	-1.733352626	0.6252199517
-5	-75	2.36948184384315	0.5995279286	-1.680614659	0.6110888562
-10	-75	2.31918124529145	0.7893926599	-1.608355513	0.5917270763
-15	-75	2.26525180747007	0.9675878516	-1.518266700	0.5675878516
-20	-75	2.20820207215534	1.132390241	-1.412225650	0.5391742379
-25	-75	2.14856861089976	1.282378578	-1.292266967	0.5070314057
-30	-75	2.08690483344849	1.416444683	-1.160533834	0.4717336192
-35	-75	2.02378599775005	1.533805890	-1.019242622	0.4338747528
-40	-75	1.95981688330869	1.634018328	-0.8706457763	0.3940583481
-45	-75	1.89561160605689	1.716969700	-0.7169697004	0.3528809677
-
--45	-70	2.55662537030463	-1.350754245	-1.150754245	0.6372224328
--40	-70	2.56243798557197	-1.186587524	-1.290821382	0.6882027014
--35	-70	2.56132282152403	-1.007872398	-1.410650159	0.7318168095
--30	-70	2.55354459009518	-0.8177112670	-1.509137783	0.7676633731
--25	-70	2.53942676761748	-0.6191888913	-1.585657631	0.7955143199
--20	-70	2.51932400838313	-0.4152924929	-1.639997715	0.8152924929
--15	-70	2.49361782836622	-0.2088638849	-1.672310953	0.8270535500
--10	-70	2.46270343586517	-0.002564489473	-1.683056670	0.8309646712
--5	-70	2.42696964766815	0.2011437672	-1.672937141	0.8272814638
--2.84217e-14	-70	2.38680375233791	0.4000000000	-1.642861873	0.8163349615
-5	-70	2.34258756809741	0.5919423011	-1.593910540	0.7985181333
-10	-70	2.29469623188972	0.7751012824	-1.527305084	0.7742757297
-15	-70	2.24350610159217	0.9477943835	-1.444396471	0.7440994625
-20	-70	2.18940641763408	1.108526021	-1.346659245	0.7085260214
-25	-70	2.13280333731120	1.255992186	-1.235681166	0.6681333039
-30	-70	2.07412223034713	1.389088665	-1.113151821	0.6235362695
-35	-70	2.01382543240685	1.506931628	-0.9808621985	0.5753867847
-40	-70	1.95241538642255	1.608879166	-0.8406860889	0.5243668533
-45	-70	1.89042367083121	1.694545265	-0.6945452649	0.4711759433
-
--45	-65	2.53201007120344	-1.300353473	-1.100353473	0.7928878459
--40	-65	2.53387114821513	-1.133819859	-1.227935327	0.8523802416
--35	-65	2.52925392861508	-0.9552180436	-1.335451948	0.9025160652
--30	-65	2.51858882802720	-0.7676752808	-1.422472913	0.9430946078
--25	-65	2.50230986069968	-0.5741032379	-1.488971135	0.9741032379
--20	-65	2.48084829196567	-0.3771637154	-1.535239759	0.9956786518
--15	-65	2.45461627138892	-0.1792542682	-1.561806360	1.008066861
--10	-65	2.42399673110035	0.01748311735	-1.569361042	1.011589667
--5	-65	2.38933860911570	0.2111381552	-1.558700764	1.006618698
--2.84217e-14	-65	2.35096139490552	0.4000000000	-1.530694619	0.9935592181
-5	-65	2.30915522039572	0.5825238638	-1.486257310	0.9728377605
-10	-65	2.26418639236901	0.7572981388	-1.426338439	0.9448971321
-15	-65	2.21630890181704	0.9230171437	-1.351926553	0.9101983001
-20	-65	2.16577684840035	1.078462761	-1.264061116	0.8692259738
-25	-65	2.11285141265059	1.222494222	-1.163844551	0.8224942221
-30	-65	2.05782133764790	1.354052953	-1.052468187	0.7705585706
-35	-65	2.00101383280281	1.472177855	-0.9312286664	0.7140236535
-40	-65	1.94280532561616	1.576031935	-0.8015402839	0.6535489676
-45	-65	1.88362446664656	1.664934701	-0.6649347013	0.5898487383
-
--45	-60	2.50118335866938	-1.237408867	-1.037408867	0.9453584501
--40	-60	2.49856049278800	-1.068800981	-1.150448846	1.010622112
--35	-60	2.49009868699974	-0.8911470283	-1.243949055	1.064604483
--30	-60	2.47636929489378	-0.7074660162	-1.318187408	1.107466016
--25	-60	2.45790788635639	-0.5203724118	-1.373745007	1.139542211
--20	-60	2.43518493411312	-0.3320813147	-1.411376881	1.161268984
--15	-60	2.40861362638344	-0.1444541625	-1.431930597	1.173135677
--10	-60	2.37854346137945	0.04094985877	-1.436274538	1.175643653
--5	-60	2.34526398280677	0.2228132936	-1.425253321	1.169280550
--2.84217e-14	-60	2.30901469360079	0.4000000000	-1.399665382	1.154507347
-5	-60	2.26999063628580	0.5714997405	-1.360251003	1.131751444
-10	-60	2.22834652928316	0.7363773456	-1.307690725	1.101405754
-15	-60	2.18421615602894	0.8937303206	-1.242626642	1.063840988
-20	-60	2.13771501897075	1.042653952	-1.165677221	1.019414219
-25	-60	2.08897152344269	1.182222869	-1.077482357	0.9684948901
-30	-60	2.03812975498057	1.311479336	-0.9787285197	0.9114793358
-35	-60	1.98537486197015	1.429441470	-0.8701947836	0.8488173541
-40	-60	1.93093649032793	1.535118169	-0.7527811555	0.7810285643
-45	-60	1.87512266772088	1.627555937	-0.6275559375	0.7087297509
-
--45	-55	2.46377092865174	-1.161260284	-0.9612602841	1.093206220
--40	-55	2.45637466015852	-0.9914010942	-1.058207253	1.161089218
--35	-55	2.44398844430477	-0.8159888835	-1.136612100	1.215988883
--30	-55	2.42728754979099	-0.6377505201	-1.197436626	1.258578675
--25	-55	2.40684794678178	-0.4588378232	-1.241783656	1.289630799
--20	-55	2.38314112105161	-0.2809070365	-1.270776707	1.309931953
--15	-55	2.35654895846204	-0.1052150267	-1.285488148	1.320233015
--10	-55	2.32735639760225	0.06729252655	-1.286877845	1.321206091
--5	-55	2.29577152799733	0.2358909491	-1.275775035	1.313431820
--2.84217e-14	-55	2.26195233081857	0.4000000000	-1.252882876	1.297402557
-5	-55	2.22600346516378	0.5591218079	-1.218770587	1.273516875
-10	-55	2.18796819070343	0.7127812180	-1.173870435	1.242077450
-15	-55	2.14786902020435	0.8604766222	-1.118522150	1.203322164
-20	-55	2.10571210706499	1.001640489	-1.052993659	1.157438621
-25	-55	2.06149630275969	1.135605670	-0.9775114508	1.104585409
-30	-55	2.01523421778449	1.261583275	-0.8923060080	1.044923916
-35	-55	1.96696387160633	1.378648736	-0.7976552418	0.9786487361
-40	-55	1.91677369945816	1.485746839	-0.6939426961	0.9060284298
-45	-55	1.86482824926539	1.581717930	-0.5817179302	0.8274478027
-
--45	-50	2.41941338265627	-1.071294640	-0.8712946399	1.234562790
--40	-50	2.40725669421487	-0.9016426995	-0.9512373634	1.301642699
--35	-50	2.39116952529281	-0.7302677885	-1.014189689	1.354465973
--30	-50	2.37185705236171	-0.5593728833	-1.061682577	1.394317238
--25	-50	2.34987198362252	-0.3904839402	-1.095198280	1.422440252
--20	-50	2.32563417645200	-0.2246034955	-1.116084000	1.439965451
--15	-50	2.29944694252682	-0.06234741187	-1.125504032	1.447869797
--10	-50	2.27150968332896	0.09593868274	-1.124417421	1.446958022
--5	-50	2.24194575289917	0.2500806568	-1.113585934	1.437869325
--2.84217e-14	-50	2.21082348944883	0.4000000000	-1.093589049	1.421089946
-5	-50	2.17815390853276	0.5456535703	-1.064827927	1.396956499
-10	-50	2.14389665517146	0.6869792041	-1.027539943	1.365668166
-15	-50	2.10798506232147	0.8238503702	-0.9818311164	1.327313906
-20	-50	2.07032938890617	0.9560354187	-0.9276947574	1.281888107
-25	-50	2.03082880312315	1.083159579	-0.8650404442	1.229314896
-30	-50	1.98937720675052	1.204666767	-0.7937237242	1.169473063
-35	-50	1.94588775454308	1.319790180	-0.7135965128	1.102238349
-40	-50	1.90031307749097	1.427530072	-0.6245626547	1.027530072
-45	-50	1.85265941997111	1.526639992	-0.5266399920	0.9453632018
-
--45	-45	2.36781092965085	-0.9670562776	-0.7670562776	1.367056278
--40	-45	2.35127127957793	-0.7997916730	-0.8298560367	1.429856037
--35	-45	2.33202897325762	-0.6347506536	-0.8777770835	1.477777083
--30	-45	2.31073179450701	-0.4733745250	-0.9127290513	1.512729051
--25	-45	2.28783577812432	-0.3164257372	-0.9363799515	1.536379951
--20	-45	2.26365113416331	-0.1642004885	-0.9501281021	1.550128102
--15	-45	2.23837152529679	-0.01668805327	-0.9551009857	1.555100986
--10	-45	2.21209940101624	0.1263101469	-0.9521722882	1.552172288
--5	-45	2.18486806906375	0.2650936050	-0.9419871504	1.541987150
--2.84217e-14	-45	2.15665716987180	0.4000000000	-0.9249869095	1.524986910
-5	-45	2.12740085075180	0.5313580364	-0.9014292268	1.501429227
-10	-45	2.09699425298418	0.6594485803	-0.8714060166	1.471406017
-15	-45	2.06530727040457	0.7844709675	-0.8348651847	1.434865185
-20	-45	2.03217874166617	0.9065074832	-0.7916178728	1.391617873
-25	-45	1.99743095231876	1.025486740	-0.7413606427	1.341360643
-30	-45	1.96087470215859	1.141140973	-0.6836938216	1.283693822
-35	-45	1.92232178294847	1.252958408	-0.6181508508	1.218150851
-40	-45	1.88159652918457	1.360129045	-0.5442372385	1.144237239
-45	-45	1.83856636881734	1.461496788	-0.4614967880	1.061496788
-
-
diff --git a/test/recover2.par b/test/recover2.par
deleted file mode 100644
index 77a546c..0000000
--- a/test/recover2.par
+++ /dev/null
@@ -1,110 +0,0 @@
-# $Header$
-
-# This parameter file sets up Kerr/Kerr-Schild initial data, then
-# finds the apparent horizon in it.
-
-# flesh
-cactus::cctk_itlast = 2
-
-# create output directory
-ActiveThorns = "IOUtil"
-IO::out_dir = $parfile
-IO::parfile_write = "no"
-
-ActiveThorns = "Carpet CarpetLib"
-driver::ghost_size = 3
-driver::global_nx = 19
-driver::global_ny = 31
-driver::global_nz = 19
-
-ActiveThorns = "Boundary CartGrid3D CoordBase RotatingSymmetry180 Slab SymBase"
-grid::domain = "bitant"
-grid::avoid_origin = "false"
-grid::type = "byrange"
-grid::xmin = -0.6
-grid::ymin = -3.0
-grid::zmin = -0.6
-grid::xmax =  3.0
-grid::ymax =  3.0
-grid::zmax =  3.0
-
-ActiveThorns = "ADMBase ADMCoupling StaticConformal CoordGauge SpaceMask Exact ADMMacros BSSN_MoL MoL"
-ADMBase::initial_lapse = "exact"
-ADMBase::initial_shift = "exact"
-ADMBase::initial_data = "exact"
-ADMBase::lapse_evolution_method = "harmonic"
-ADMBase::shift_evolution_method = "static"
-ADMBase::metric_type = "physical"
-ADMBase::evolution_method = ADM_BSSN
-Exact::exact_model = "Kerr/Kerr-Schild"
-Exact::Kerr_KerrSchild__mass = 1.0
-Exact::Kerr_KerrSchild__spin = 0.6
-SpaceMask::use_mask = yes
-BSSN_MoL::excise       = yes
-BSSN_MoL::excisionType = lego
-
-ActiveThorns = "Time"
-Time::dtfac = 0.25
-
-ActiveThorns = "LegoExcision"
-LegoExcision::fixed_excision    = sphere
-LegoExcision::num_fixed_regions = 1
-LegoExcision::fixed_size        = 1.001
-
-ActiveThorns = "CarpetIOASCII"
-IOASCII::out1D_every    = 1
-IOASCII::out1D_vars     = "SpaceMask::emask ADM_BSSN::ADM_BSSN_phi"
-IOASCII::out1D_xline_yi = 15
-IOASCII::out1D_xline_zi = 3
-IOASCII::out1D_yline_xi = 3
-IOASCII::out1D_yline_zi = 3
-IOASCII::out1D_zline_xi = 3
-IOASCII::out1D_zline_yi = 15
-IOASCII::out1D_d        = no
-
-ActiveThorns = "CarpetIOHDF5"
-IOHDF5::checkpoint   = yes
-IO::checkpoint_dir   = $parfile
-IO::checkpoint_every =  0
-IO::checkpoint_keep  = -1
-IO::recover = "manual"
-IO::recover_dir = "../../../arrangements/AEIThorns/AHFinderDirect/test/checkpoint2"
-IO::recover_file = "checkpoint.chkpt.it_1"
-
-########################################
-
-ActiveThorns = "SphericalSurface"
-
-ActiveThorns = "LocalInterp AEILocalInterp CarpetInterp GSL LoopControl CarpetReduce AHFinderDirect"
-
-AHFinderDirect::print_timing_stats = "true"
-
-AHFinderDirect::h_base_file_name              = "h"
-AHFinderDirect::BH_diagnostics_base_file_name = "BH_diagnostics"
-AHFinderDirect::output_OpenDX_control_files   = "no"
-AHFinderDirect::Theta_norm_for_convergence = 1.0e-12
-
-AHFinderDirect::geometry_interpolator_name = "Lagrange polynomial interpolation"
-AHFinderDirect::geometry_interpolator_pars = "order=4"
-
-AHFinderDirect::N_horizons = 2
-
-AHFinderDirect::origin_x[1] = 0.5
-AHFinderDirect::origin_y[1] = 0.7
-AHFinderDirect::origin_z[1] = 0.0
-
-AHFinderDirect::initial_guess_method[1] = "coordinate sphere"
-AHFinderDirect::initial_guess__coord_sphere__x_center[1] = -0.2
-AHFinderDirect::initial_guess__coord_sphere__y_center[1] =  0.3
-AHFinderDirect::initial_guess__coord_sphere__z_center[1] =  0.0
-AHFinderDirect::initial_guess__coord_sphere__radius[1] = 2.0
-
-AHFinderDirect::origin_x[2] = 0.4
-AHFinderDirect::origin_y[2] = 0.6
-AHFinderDirect::origin_z[2] = 0.0
-
-AHFinderDirect::initial_guess_method[2] = "coordinate sphere"
-AHFinderDirect::initial_guess__coord_sphere__x_center[2] = -0.1
-AHFinderDirect::initial_guess__coord_sphere__y_center[2] =  0.2
-AHFinderDirect::initial_guess__coord_sphere__z_center[2] =  0.0
-AHFinderDirect::initial_guess__coord_sphere__radius[2] = 2.0
diff --git a/test/recover2/ADM_BS_phi.x.asc b/test/recover2/ADM_BS_phi.x.asc
deleted file mode 100644
index ba236fd..0000000
--- a/test/recover2/ADM_BS_phi.x.asc
+++ /dev/null
@@ -1,48 +0,0 @@
-# iteration 1
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: 1:it   2:tl 3:rl 4:c 5:ml      6:ix 7:iy 8:iz  9:time  10:x 11:y 12:z  13:data
-1	0 0 0 0	0 15 3	0.05	-0.6 0 0	0
-1	0 0 0 0	1 15 3	0.05	-0.4 0 0	0
-1	0 0 0 0	2 15 3	0.05	-0.2 0 0	0
-1	0 0 0 0	3 15 3	0.05	0 0 0	0
-1	0 0 0 0	4 15 3	0.05	0.2 0 0	0
-1	0 0 0 0	5 15 3	0.05	0.4 0 0	0
-1	0 0 0 0	6 15 3	0.05	0.6 0 0	0
-1	0 0 0 0	7 15 3	0.05	0.8 0 0	0.130363851624392
-1	0 0 0 0	8 15 3	0.05	1 0 0	0.104220488796629
-1	0 0 0 0	9 15 3	0.05	1.2 0 0	0.0892505608155271
-1	0 0 0 0	10 15 3	0.05	1.4 0 0	0.0789095857132584
-1	0 0 0 0	11 15 3	0.05	1.6 0 0	0.0710717753323479
-1	0 0 0 0	12 15 3	0.05	1.8 0 0	0.0648365375811699
-1	0 0 0 0	13 15 3	0.05	2 0 0	0.0597142640637997
-1	0 0 0 0	14 15 3	0.05	2.2 0 0	0.0554082209721993
-1	0 0 0 0	15 15 3	0.05	2.4 0 0	0.0517244520929427
-1	0 0 0 0	16 15 3	0.05	2.6 0 0	0.048529132257269
-1	0 0 0 0	17 15 3	0.05	2.8 0 0	0.0457263318069279
-1	0 0 0 0	18 15 3	0.05	3 0 0	0.0432533402490022
-
-
-# iteration 2
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: 1:it   2:tl 3:rl 4:c 5:ml      6:ix 7:iy 8:iz  9:time  10:x 11:y 12:z  13:data
-2	0 0 0 0	0 15 3	0.1	-0.6 0 0	0
-2	0 0 0 0	1 15 3	0.1	-0.4 0 0	0
-2	0 0 0 0	2 15 3	0.1	-0.2 0 0	0
-2	0 0 0 0	3 15 3	0.1	0 0 0	0
-2	0 0 0 0	4 15 3	0.1	0.2 0 0	0
-2	0 0 0 0	5 15 3	0.1	0.4 0 0	0
-2	0 0 0 0	6 15 3	0.1	0.6 0 0	0
-2	0 0 0 0	7 15 3	0.1	0.8 0 0	0.130363851624392
-2	0 0 0 0	8 15 3	0.1	1 0 0	0.104106304221948
-2	0 0 0 0	9 15 3	0.1	1.2 0 0	0.0891363762408464
-2	0 0 0 0	10 15 3	0.1	1.4 0 0	0.0788244977928251
-2	0 0 0 0	11 15 3	0.1	1.6 0 0	0.0710114533838618
-2	0 0 0 0	12 15 3	0.1	1.8 0 0	0.0647929665253498
-2	0 0 0 0	13 15 3	0.1	2 0 0	0.0596821808744584
-2	0 0 0 0	14 15 3	0.1	2.2 0 0	0.0553841224841849
-2	0 0 0 0	15 15 3	0.1	2.4 0 0	0.0517060140340176
-2	0 0 0 0	16 15 3	0.1	2.6 0 0	0.0485148359478545
-2	0 0 0 0	17 15 3	0.1	2.8 0 0	0.0457159177002126
-2	0 0 0 0	18 15 3	0.1	3 0 0	0.0432533402490022
-
-
diff --git a/test/recover2/ADM_BS_phi.y.asc b/test/recover2/ADM_BS_phi.y.asc
deleted file mode 100644
index cf7d80c..0000000
--- a/test/recover2/ADM_BS_phi.y.asc
+++ /dev/null
@@ -1,72 +0,0 @@
-# iteration 1
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: 1:it   2:tl 3:rl 4:c 5:ml      6:ix 7:iy 8:iz  9:time  10:x 11:y 12:z  13:data
-1	0 0 0 0	3 0 3	0.05	0 -3 0	0.0432533402490022
-1	0 0 0 0	3 1 3	0.05	0 -2.8 0	0.0457263318065289
-1	0 0 0 0	3 2 3	0.05	0 -2.6 0	0.0485291322573205
-1	0 0 0 0	3 3 3	0.05	0 -2.4 0	0.0517244520929351
-1	0 0 0 0	3 4 3	0.05	0 -2.2 0	0.0554082209725126
-1	0 0 0 0	3 5 3	0.05	0 -2 0	0.059714264063792
-1	0 0 0 0	3 6 3	0.05	0 -1.8 0	0.0648365375817624
-1	0 0 0 0	3 7 3	0.05	0 -1.6 0	0.071071775330888
-1	0 0 0 0	3 8 3	0.05	0 -1.4 0	0.0789095857133257
-1	0 0 0 0	3 9 3	0.05	0 -1.2 0	0.0892505608163802
-1	0 0 0 0	3 10 3	0.05	0 -1 0	0.104220488797482
-1	0 0 0 0	3 11 3	0.05	0 -0.8 0	0.130363851624392
-1	0 0 0 0	3 12 3	0.05	0 -0.6 0	0
-1	0 0 0 0	3 13 3	0.05	0 -0.4 0	0
-1	0 0 0 0	3 14 3	0.05	0 -0.2 0	0
-1	0 0 0 0	3 15 3	0.05	0 0 0	0
-1	0 0 0 0	3 16 3	0.05	0 0.2 0	0
-1	0 0 0 0	3 17 3	0.05	0 0.4 0	0
-1	0 0 0 0	3 18 3	0.05	0 0.6 0	0
-1	0 0 0 0	3 19 3	0.05	0 0.8 0	0.130363851624392
-1	0 0 0 0	3 20 3	0.05	0 1 0	0.104220488796584
-1	0 0 0 0	3 21 3	0.05	0 1.2 0	0.0892505608154827
-1	0 0 0 0	3 22 3	0.05	0 1.4 0	0.0789095857118638
-1	0 0 0 0	3 23 3	0.05	0 1.6 0	0.0710717753325539
-1	0 0 0 0	3 24 3	0.05	0 1.8 0	0.0648365375811426
-1	0 0 0 0	3 25 3	0.05	0 2 0	0.0597142640640769
-1	0 0 0 0	3 26 3	0.05	0 2.2 0	0.0554082209721188
-1	0 0 0 0	3 27 3	0.05	0 2.4 0	0.051724452093734
-1	0 0 0 0	3 28 3	0.05	0 2.6 0	0.048529132256278
-1	0 0 0 0	3 29 3	0.05	0 2.8 0	0.0457263318071654
-1	0 0 0 0	3 30 3	0.05	0 3 0	0.0432533402490022
-
-
-# iteration 2
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: 1:it   2:tl 3:rl 4:c 5:ml      6:ix 7:iy 8:iz  9:time  10:x 11:y 12:z  13:data
-2	0 0 0 0	3 0 3	0.1	0 -3 0	0.0432533402490022
-2	0 0 0 0	3 1 3	0.1	0 -2.8 0	0.0457159176994908
-2	0 0 0 0	3 2 3	0.1	0 -2.6 0	0.0485148359479053
-2	0 0 0 0	3 3 3	0.1	0 -2.4 0	0.0517060140340352
-2	0 0 0 0	3 4 3	0.1	0 -2.2 0	0.0553841224847729
-2	0 0 0 0	3 5 3	0.1	0 -2 0	0.0596821808744254
-2	0 0 0 0	3 6 3	0.1	0 -1.8 0	0.064792966526694
-2	0 0 0 0	3 7 3	0.1	0 -1.6 0	0.0710114533812901
-2	0 0 0 0	3 8 3	0.1	0 -1.4 0	0.0788244977927247
-2	0 0 0 0	3 9 3	0.1	0 -1.2 0	0.0891363762424142
-2	0 0 0 0	3 10 3	0.1	0 -1 0	0.104106304223516
-2	0 0 0 0	3 11 3	0.1	0 -0.8 0	0.130363851624392
-2	0 0 0 0	3 12 3	0.1	0 -0.6 0	0
-2	0 0 0 0	3 13 3	0.1	0 -0.4 0	0
-2	0 0 0 0	3 14 3	0.1	0 -0.2 0	0
-2	0 0 0 0	3 15 3	0.1	0 0 0	0
-2	0 0 0 0	3 16 3	0.1	0 0.2 0	0
-2	0 0 0 0	3 17 3	0.1	0 0.4 0	0
-2	0 0 0 0	3 18 3	0.1	0 0.6 0	0
-2	0 0 0 0	3 19 3	0.1	0 0.8 0	0.130363851624392
-2	0 0 0 0	3 20 3	0.1	0 1 0	0.104106304221705
-2	0 0 0 0	3 21 3	0.1	0 1.2 0	0.0891363762406031
-2	0 0 0 0	3 22 3	0.1	0 1.4 0	0.0788244977903712
-2	0 0 0 0	3 23 3	0.1	0 1.6 0	0.0710114533845545
-2	0 0 0 0	3 24 3	0.1	0 1.8 0	0.0647929665254468
-2	0 0 0 0	3 25 3	0.1	0 2 0	0.0596821808749719
-2	0 0 0 0	3 26 3	0.1	0 2.2 0	0.0553841224841346
-2	0 0 0 0	3 27 3	0.1	0 2.4 0	0.0517060140355346
-2	0 0 0 0	3 28 3	0.1	0 2.6 0	0.0485148359460328
-2	0 0 0 0	3 29 3	0.1	0 2.8 0	0.045715917700652
-2	0 0 0 0	3 30 3	0.1	0 3 0	0.0432533402490022
-
-
diff --git a/test/recover2/ADM_BS_phi.z.asc b/test/recover2/ADM_BS_phi.z.asc
deleted file mode 100644
index 403b83a..0000000
--- a/test/recover2/ADM_BS_phi.z.asc
+++ /dev/null
@@ -1,48 +0,0 @@
-# iteration 1
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: 1:it   2:tl 3:rl 4:c 5:ml      6:ix 7:iy 8:iz  9:time  10:x 11:y 12:z  13:data
-1	0 0 0 0	3 15 0	0.05	0 0 -0.6	0
-1	0 0 0 0	3 15 1	0.05	0 0 -0.4	0
-1	0 0 0 0	3 15 2	0.05	0 0 -0.2	0
-1	0 0 0 0	3 15 3	0.05	0 0 0	0
-1	0 0 0 0	3 15 4	0.05	0 0 0.2	0
-1	0 0 0 0	3 15 5	0.05	0 0 0.4	0
-1	0 0 0 0	3 15 6	0.05	0 0 0.6	0
-1	0 0 0 0	3 15 7	0.05	0 0 0.8	0.0796160463379387
-1	0 0 0 0	3 15 8	0.05	0 0 1	0.0753458414750121
-1	0 0 0 0	3 15 9	0.05	0 0 1.2	0.070582640321683
-1	0 0 0 0	3 15 10	0.05	0 0 1.4	0.0659345200664271
-1	0 0 0 0	3 15 11	0.05	0 0 1.6	0.0616364211560666
-1	0 0 0 0	3 15 12	0.05	0 0 1.8	0.0577381679321618
-1	0 0 0 0	3 15 13	0.05	0 0 2	0.0542290473265031
-1	0 0 0 0	3 15 14	0.05	0 0 2.2	0.0510759026136498
-1	0 0 0 0	3 15 15	0.05	0 0 2.4	0.0482396956746853
-1	0 0 0 0	3 15 16	0.05	0 0 2.6	0.045682310360457
-1	0 0 0 0	3 15 17	0.05	0 0 2.8	0.043369299549159
-1	0 0 0 0	3 15 18	0.05	0 0 3	0.0412767864358354
-
-
-# iteration 2
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: 1:it   2:tl 3:rl 4:c 5:ml      6:ix 7:iy 8:iz  9:time  10:x 11:y 12:z  13:data
-2	0 0 0 0	3 15 0	0.1	0 0 -0.6	0
-2	0 0 0 0	3 15 1	0.1	0 0 -0.4	0
-2	0 0 0 0	3 15 2	0.1	0 0 -0.2	0
-2	0 0 0 0	3 15 3	0.1	0 0 0	0
-2	0 0 0 0	3 15 4	0.1	0 0 0.2	0
-2	0 0 0 0	3 15 5	0.1	0 0 0.4	0
-2	0 0 0 0	3 15 6	0.1	0 0 0.6	0
-2	0 0 0 0	3 15 7	0.1	0 0 0.8	0.0796079896028402
-2	0 0 0 0	3 15 8	0.1	0 0 1	0.0753234682357545
-2	0 0 0 0	3 15 9	0.1	0 0 1.2	0.0705602670824255
-2	0 0 0 0	3 15 10	0.1	0 0 1.4	0.0659063866573531
-2	0 0 0 0	3 15 11	0.1	0 0 1.6	0.0616106063533713
-2	0 0 0 0	3 15 12	0.1	0 0 1.8	0.0577160977224629
-2	0 0 0 0	3 15 13	0.1	0 0 2	0.0542107222712016
-2	0 0 0 0	3 15 14	0.1	0 0 2.2	0.0510608484355226
-2	0 0 0 0	3 15 15	0.1	0 0 2.4	0.0482273550023926
-2	0 0 0 0	3 15 16	0.1	0 0 2.6	0.045672209279059
-2	0 0 0 0	3 15 17	0.1	0 0 2.8	0.0433616332194261
-2	0 0 0 0	3 15 18	0.1	0 0 3	0.0412767864358354
-
-
diff --git a/test/recover2/BH_diagnostics.ah1.gp b/test/recover2/BH_diagnostics.ah1.gp
deleted file mode 100644
index 0d63447..0000000
--- a/test/recover2/BH_diagnostics.ah1.gp
+++ /dev/null
@@ -1,44 +0,0 @@
-# apparent horizon 1/2
-#
-# column  1 = cctk_iteration
-# column  2 = cctk_time
-# column  3 = centroid_x
-# column  4 = centroid_y
-# column  5 = centroid_z
-# column  6 = min radius
-# column  7 = max radius
-# column  8 = mean radius
-# column  9 = quadrupole_xx
-# column 10 = quadrupole_xy
-# column 11 = quadrupole_xz
-# column 12 = quadrupole_yy
-# column 13 = quadrupole_yz
-# column 14 = quadrupole_zz
-# column 15 = min x
-# column 16 = max x
-# column 17 = min y
-# column 18 = max y
-# column 19 = min z
-# column 20 = max z
-# column 21 = xy-plane circumference
-# column 22 = xz-plane circumference
-# column 23 = yz-plane circumference
-# column 24 = ratio of xz/xy-plane circumferences
-# column 25 = ratio of yz/xy-plane circumferences
-# column 26 = area
-# column 27 = m_irreducible
-# column 28 = areal radius
-# column 29 = expansion Theta_(l)
-# column 30 = inner expansion Theta_(n)
-# column 31 = product of the expansions
-# column 32 = mean curvature
-# column 33 = gradient of the areal radius
-# column 34 = gradient of the expansion Theta_(l)
-# column 35 = gradient of the inner expansion Theta_(n)
-# column 36 = gradient of the product of the expansions
-# column 37 = gradient of the mean curvature
-# column 38 = minimum  of the mean curvature    
-# column 39 = maximum  of the mean curvature
-# column 40 = integral of the mean curvature
-1       0.050   0.000019        0.000024        0.000000        1.176376382     2.618150327     1.957464086     1.199886145     5.854922778e-06 0.000000000     1.199874876     0.000000000     1.079927681     -1.896954588    1.896253793     -1.896602991    1.896364371     -1.797350075    1.797350075     12.56415138     11.04966423     11.36846649     0.8794596541    0.9048336134    45.22900203     0.9485791509    1.897158302     -5.626879674e-15        -1.469716579    8.253042071e-15 0.7348582893    0.000000000     0.000000000     0.000000000     0.000000000     0.000000000
-2	0.100	0.000019	0.000024	0.000000	1.176438536	2.618207234	1.957468207	1.199888822	5.853386871e-06	0.000000000	1.199877425	0.000000000	1.079938129	-1.896802728	1.896088630	-1.896467806	1.896231804	-1.797215665	1.797215665	12.56254986	11.04882917	11.36752998	0.8795052986	0.9048744170	45.22324503	0.9485187788	1.897037558	-2.249266290e-15	-1.469883991	3.358670001e-15	0.7349419953	0.000000000	0.000000000	0.000000000	0.000000000	0.000000000
diff --git a/test/recover2/BH_diagnostics.ah2.gp b/test/recover2/BH_diagnostics.ah2.gp
deleted file mode 100644
index fab0651..0000000
--- a/test/recover2/BH_diagnostics.ah2.gp
+++ /dev/null
@@ -1,41 +0,0 @@
-# apparent horizon 2/2
-#
-# column  1 = cctk_iteration
-# column  2 = cctk_time
-# column  3 = centroid_x
-# column  4 = centroid_y
-# column  5 = centroid_z
-# column  6 = min radius
-# column  7 = max radius
-# column  8 = mean radius
-# column  9 = quadrupole_xx
-# column 10 = quadrupole_xy
-# column 11 = quadrupole_xz
-# column 12 = quadrupole_yy
-# column 13 = quadrupole_yz
-# column 14 = quadrupole_zz
-# column 15 = min x
-# column 16 = max x
-# column 17 = min y
-# column 18 = max y
-# column 19 = min z
-# column 20 = max z
-# column 21 = xy-plane circumference
-# column 22 = xz-plane circumference
-# column 23 = yz-plane circumference
-# column 24 = ratio of xz/xy-plane circumferences
-# column 25 = ratio of yz/xy-plane circumferences
-# column 26 = area
-# column 27 = m_irreducible
-# column 28 = areal radius
-# column 29 = expansion Theta_(l)
-# column 30 = inner expansion Theta_(n)
-# column 31 = product of the expansions
-# column 32 = mean curvature
-# column 33 = gradient of the areal radius
-# column 34 = gradient of the expansion Theta_(l)
-# column 35 = gradient of the inner expansion Theta_(n)
-# column 36 = gradient of the product of the expansions
-# column 37 = gradient of the mean curvature
-1       0.050   0.000000        0.000000        0.000000        1.799782609     1.897391633     1.865208933     1.199938339     1.483362260e-10 0.000000000     1.199938339     -0.000000000    1.079963746     -1.897095303    1.897095303     -1.897095303    1.897095303     -1.799782609    1.799782609     12.56441988     11.61622012     11.61622012     0.9245329455    0.9245329455    45.23086154     0.9485986503    1.897197301     -6.526645613e-17        -1.467342461    1.865090787e-16 0.7336712304    0.000000000     0.000000000     0.000000000     0.000000000     0.000000000
-2	0.100	0.000000	0.000000	0.000000	1.799644021	1.897465641	1.865212809	1.199940613	1.044877168e-10	0.000000000	1.199940613	0.000000000	1.079973796	-1.896947605	1.896947605	-1.896947605	1.896947605	-1.799644021	1.799644021	12.56281687	11.61521159	11.61521159	0.9245706362	0.9245706362	45.22509135	0.9485381411	1.897076282	-1.863312755e-15	-1.467524846	2.882159661e-15	0.7337624228	0.000000000	0.000000000	0.000000000	0.000000000	0.000000000
diff --git a/test/recover2/emask.x.asc b/test/recover2/emask.x.asc
deleted file mode 100644
index 5fa4d76..0000000
--- a/test/recover2/emask.x.asc
+++ /dev/null
@@ -1,48 +0,0 @@
-# iteration 1
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: 1:it   2:tl 3:rl 4:c 5:ml      6:ix 7:iy 8:iz  9:time  10:x 11:y 12:z  13:data
-1	0 0 0 0	0 15 3	0.05	-0.6 0 0	0
-1	0 0 0 0	1 15 3	0.05	-0.4 0 0	0
-1	0 0 0 0	2 15 3	0.05	-0.2 0 0	0
-1	0 0 0 0	3 15 3	0.05	0 0 0	0
-1	0 0 0 0	4 15 3	0.05	0.2 0 0	0
-1	0 0 0 0	5 15 3	0.05	0.4 0 0	0
-1	0 0 0 0	6 15 3	0.05	0.6 0 0	0
-1	0 0 0 0	7 15 3	0.05	0.8 0 0	0.5
-1	0 0 0 0	8 15 3	0.05	1 0 0	0.5
-1	0 0 0 0	9 15 3	0.05	1.2 0 0	1
-1	0 0 0 0	10 15 3	0.05	1.4 0 0	1
-1	0 0 0 0	11 15 3	0.05	1.6 0 0	1
-1	0 0 0 0	12 15 3	0.05	1.8 0 0	1
-1	0 0 0 0	13 15 3	0.05	2 0 0	1
-1	0 0 0 0	14 15 3	0.05	2.2 0 0	1
-1	0 0 0 0	15 15 3	0.05	2.4 0 0	1
-1	0 0 0 0	16 15 3	0.05	2.6 0 0	1
-1	0 0 0 0	17 15 3	0.05	2.8 0 0	1
-1	0 0 0 0	18 15 3	0.05	3 0 0	1
-
-
-# iteration 2
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: 1:it   2:tl 3:rl 4:c 5:ml      6:ix 7:iy 8:iz  9:time  10:x 11:y 12:z  13:data
-2	0 0 0 0	0 15 3	0.1	-0.6 0 0	0
-2	0 0 0 0	1 15 3	0.1	-0.4 0 0	0
-2	0 0 0 0	2 15 3	0.1	-0.2 0 0	0
-2	0 0 0 0	3 15 3	0.1	0 0 0	0
-2	0 0 0 0	4 15 3	0.1	0.2 0 0	0
-2	0 0 0 0	5 15 3	0.1	0.4 0 0	0
-2	0 0 0 0	6 15 3	0.1	0.6 0 0	0
-2	0 0 0 0	7 15 3	0.1	0.8 0 0	0.5
-2	0 0 0 0	8 15 3	0.1	1 0 0	0.5
-2	0 0 0 0	9 15 3	0.1	1.2 0 0	1
-2	0 0 0 0	10 15 3	0.1	1.4 0 0	1
-2	0 0 0 0	11 15 3	0.1	1.6 0 0	1
-2	0 0 0 0	12 15 3	0.1	1.8 0 0	1
-2	0 0 0 0	13 15 3	0.1	2 0 0	1
-2	0 0 0 0	14 15 3	0.1	2.2 0 0	1
-2	0 0 0 0	15 15 3	0.1	2.4 0 0	1
-2	0 0 0 0	16 15 3	0.1	2.6 0 0	1
-2	0 0 0 0	17 15 3	0.1	2.8 0 0	1
-2	0 0 0 0	18 15 3	0.1	3 0 0	1
-
-
diff --git a/test/recover2/emask.y.asc b/test/recover2/emask.y.asc
deleted file mode 100644
index 1ed0cee..0000000
--- a/test/recover2/emask.y.asc
+++ /dev/null
@@ -1,72 +0,0 @@
-# iteration 1
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: 1:it   2:tl 3:rl 4:c 5:ml      6:ix 7:iy 8:iz  9:time  10:x 11:y 12:z  13:data
-1	0 0 0 0	3 0 3	0.05	0 -3 0	1
-1	0 0 0 0	3 1 3	0.05	0 -2.8 0	1
-1	0 0 0 0	3 2 3	0.05	0 -2.6 0	1
-1	0 0 0 0	3 3 3	0.05	0 -2.4 0	1
-1	0 0 0 0	3 4 3	0.05	0 -2.2 0	1
-1	0 0 0 0	3 5 3	0.05	0 -2 0	1
-1	0 0 0 0	3 6 3	0.05	0 -1.8 0	1
-1	0 0 0 0	3 7 3	0.05	0 -1.6 0	1
-1	0 0 0 0	3 8 3	0.05	0 -1.4 0	1
-1	0 0 0 0	3 9 3	0.05	0 -1.2 0	1
-1	0 0 0 0	3 10 3	0.05	0 -1 0	0.5
-1	0 0 0 0	3 11 3	0.05	0 -0.8 0	0.5
-1	0 0 0 0	3 12 3	0.05	0 -0.6 0	0
-1	0 0 0 0	3 13 3	0.05	0 -0.4 0	0
-1	0 0 0 0	3 14 3	0.05	0 -0.2 0	0
-1	0 0 0 0	3 15 3	0.05	0 0 0	0
-1	0 0 0 0	3 16 3	0.05	0 0.2 0	0
-1	0 0 0 0	3 17 3	0.05	0 0.4 0	0
-1	0 0 0 0	3 18 3	0.05	0 0.6 0	0
-1	0 0 0 0	3 19 3	0.05	0 0.8 0	0.5
-1	0 0 0 0	3 20 3	0.05	0 1 0	0.5
-1	0 0 0 0	3 21 3	0.05	0 1.2 0	1
-1	0 0 0 0	3 22 3	0.05	0 1.4 0	1
-1	0 0 0 0	3 23 3	0.05	0 1.6 0	1
-1	0 0 0 0	3 24 3	0.05	0 1.8 0	1
-1	0 0 0 0	3 25 3	0.05	0 2 0	1
-1	0 0 0 0	3 26 3	0.05	0 2.2 0	1
-1	0 0 0 0	3 27 3	0.05	0 2.4 0	1
-1	0 0 0 0	3 28 3	0.05	0 2.6 0	1
-1	0 0 0 0	3 29 3	0.05	0 2.8 0	1
-1	0 0 0 0	3 30 3	0.05	0 3 0	1
-
-
-# iteration 2
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: 1:it   2:tl 3:rl 4:c 5:ml      6:ix 7:iy 8:iz  9:time  10:x 11:y 12:z  13:data
-2	0 0 0 0	3 0 3	0.1	0 -3 0	1
-2	0 0 0 0	3 1 3	0.1	0 -2.8 0	1
-2	0 0 0 0	3 2 3	0.1	0 -2.6 0	1
-2	0 0 0 0	3 3 3	0.1	0 -2.4 0	1
-2	0 0 0 0	3 4 3	0.1	0 -2.2 0	1
-2	0 0 0 0	3 5 3	0.1	0 -2 0	1
-2	0 0 0 0	3 6 3	0.1	0 -1.8 0	1
-2	0 0 0 0	3 7 3	0.1	0 -1.6 0	1
-2	0 0 0 0	3 8 3	0.1	0 -1.4 0	1
-2	0 0 0 0	3 9 3	0.1	0 -1.2 0	1
-2	0 0 0 0	3 10 3	0.1	0 -1 0	0.5
-2	0 0 0 0	3 11 3	0.1	0 -0.8 0	0.5
-2	0 0 0 0	3 12 3	0.1	0 -0.6 0	0
-2	0 0 0 0	3 13 3	0.1	0 -0.4 0	0
-2	0 0 0 0	3 14 3	0.1	0 -0.2 0	0
-2	0 0 0 0	3 15 3	0.1	0 0 0	0
-2	0 0 0 0	3 16 3	0.1	0 0.2 0	0
-2	0 0 0 0	3 17 3	0.1	0 0.4 0	0
-2	0 0 0 0	3 18 3	0.1	0 0.6 0	0
-2	0 0 0 0	3 19 3	0.1	0 0.8 0	0.5
-2	0 0 0 0	3 20 3	0.1	0 1 0	0.5
-2	0 0 0 0	3 21 3	0.1	0 1.2 0	1
-2	0 0 0 0	3 22 3	0.1	0 1.4 0	1
-2	0 0 0 0	3 23 3	0.1	0 1.6 0	1
-2	0 0 0 0	3 24 3	0.1	0 1.8 0	1
-2	0 0 0 0	3 25 3	0.1	0 2 0	1
-2	0 0 0 0	3 26 3	0.1	0 2.2 0	1
-2	0 0 0 0	3 27 3	0.1	0 2.4 0	1
-2	0 0 0 0	3 28 3	0.1	0 2.6 0	1
-2	0 0 0 0	3 29 3	0.1	0 2.8 0	1
-2	0 0 0 0	3 30 3	0.1	0 3 0	1
-
-
diff --git a/test/recover2/emask.z.asc b/test/recover2/emask.z.asc
deleted file mode 100644
index 7b84cb8..0000000
--- a/test/recover2/emask.z.asc
+++ /dev/null
@@ -1,48 +0,0 @@
-# iteration 1
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: 1:it   2:tl 3:rl 4:c 5:ml      6:ix 7:iy 8:iz  9:time  10:x 11:y 12:z  13:data
-1	0 0 0 0	3 15 0	0.05	0 0 -0.6	0
-1	0 0 0 0	3 15 1	0.05	0 0 -0.4	0
-1	0 0 0 0	3 15 2	0.05	0 0 -0.2	0
-1	0 0 0 0	3 15 3	0.05	0 0 0	0
-1	0 0 0 0	3 15 4	0.05	0 0 0.2	0
-1	0 0 0 0	3 15 5	0.05	0 0 0.4	0
-1	0 0 0 0	3 15 6	0.05	0 0 0.6	0
-1	0 0 0 0	3 15 7	0.05	0 0 0.8	0.5
-1	0 0 0 0	3 15 8	0.05	0 0 1	0.5
-1	0 0 0 0	3 15 9	0.05	0 0 1.2	1
-1	0 0 0 0	3 15 10	0.05	0 0 1.4	1
-1	0 0 0 0	3 15 11	0.05	0 0 1.6	1
-1	0 0 0 0	3 15 12	0.05	0 0 1.8	1
-1	0 0 0 0	3 15 13	0.05	0 0 2	1
-1	0 0 0 0	3 15 14	0.05	0 0 2.2	1
-1	0 0 0 0	3 15 15	0.05	0 0 2.4	1
-1	0 0 0 0	3 15 16	0.05	0 0 2.6	1
-1	0 0 0 0	3 15 17	0.05	0 0 2.8	1
-1	0 0 0 0	3 15 18	0.05	0 0 3	1
-
-
-# iteration 2
-# refinement level 0   multigrid level 0   map 0   component 0   time level 0
-# column format: 1:it   2:tl 3:rl 4:c 5:ml      6:ix 7:iy 8:iz  9:time  10:x 11:y 12:z  13:data
-2	0 0 0 0	3 15 0	0.1	0 0 -0.6	0
-2	0 0 0 0	3 15 1	0.1	0 0 -0.4	0
-2	0 0 0 0	3 15 2	0.1	0 0 -0.2	0
-2	0 0 0 0	3 15 3	0.1	0 0 0	0
-2	0 0 0 0	3 15 4	0.1	0 0 0.2	0
-2	0 0 0 0	3 15 5	0.1	0 0 0.4	0
-2	0 0 0 0	3 15 6	0.1	0 0 0.6	0
-2	0 0 0 0	3 15 7	0.1	0 0 0.8	0.5
-2	0 0 0 0	3 15 8	0.1	0 0 1	0.5
-2	0 0 0 0	3 15 9	0.1	0 0 1.2	1
-2	0 0 0 0	3 15 10	0.1	0 0 1.4	1
-2	0 0 0 0	3 15 11	0.1	0 0 1.6	1
-2	0 0 0 0	3 15 12	0.1	0 0 1.8	1
-2	0 0 0 0	3 15 13	0.1	0 0 2	1
-2	0 0 0 0	3 15 14	0.1	0 0 2.2	1
-2	0 0 0 0	3 15 15	0.1	0 0 2.4	1
-2	0 0 0 0	3 15 16	0.1	0 0 2.6	1
-2	0 0 0 0	3 15 17	0.1	0 0 2.8	1
-2	0 0 0 0	3 15 18	0.1	0 0 3	1
-
-
diff --git a/test/recover2/h.ah1.dx b/test/recover2/h.ah1.dx
deleted file mode 100644
index 42d895a..0000000
--- a/test/recover2/h.ah1.dx
+++ /dev/null
@@ -1,15 +0,0 @@
-# list the size of each patch (N_rho x N_sigma)
-object "+z patch" class array type int rank 1 shape 2 items 1 data follows 19 19
-object "+x patch" class array type int rank 1 shape 2 items 1 data follows 10 19
-object "+y patch" class array type int rank 1 shape 2 items 1 data follows 10 19
-object "-x patch" class array type int rank 1 shape 2 items 1 data follows 10 19
-object "-y patch" class array type int rank 1 shape 2 items 1 data follows 10 19
-
-# collect all patch sizes into a single OpenDX group
-# for the ImportAHFinderDirectGnuplot macro to read
-object "patchsizes" class group
-member 0 value "+z patch"
-member 1 value "+x patch"
-member 2 value "+y patch"
-member 3 value "-x patch"
-member 4 value "-y patch"
diff --git a/test/recover2/h.ah2.dx b/test/recover2/h.ah2.dx
deleted file mode 100644
index 42d895a..0000000
--- a/test/recover2/h.ah2.dx
+++ /dev/null
@@ -1,15 +0,0 @@
-# list the size of each patch (N_rho x N_sigma)
-object "+z patch" class array type int rank 1 shape 2 items 1 data follows 19 19
-object "+x patch" class array type int rank 1 shape 2 items 1 data follows 10 19
-object "+y patch" class array type int rank 1 shape 2 items 1 data follows 10 19
-object "-x patch" class array type int rank 1 shape 2 items 1 data follows 10 19
-object "-y patch" class array type int rank 1 shape 2 items 1 data follows 10 19
-
-# collect all patch sizes into a single OpenDX group
-# for the ImportAHFinderDirectGnuplot macro to read
-object "patchsizes" class group
-member 0 value "+z patch"
-member 1 value "+x patch"
-member 2 value "+y patch"
-member 3 value "-x patch"
-member 4 value "-y patch"
diff --git a/test/recover2/h.t2.ah1.gp b/test/recover2/h.t2.ah1.gp
deleted file mode 100644
index 3c61cd6..0000000
--- a/test/recover2/h.t2.ah1.gp
+++ /dev/null
@@ -1,1228 +0,0 @@
-# N_patches = 5
-# origin = 0.4 0.6 0
-
-### +z patch
-# N_rho = 19
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = dsigma = dnu
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--45	-45	2.36780114092420	-0.9670506261	-0.7670506261	1.367050626
--40	-45	2.35125989303909	-0.7997858628	-0.8298491123	1.429849112
--35	-45	2.33201651495163	-0.6347451257	-0.8777691888	1.477769189
--30	-45	2.31071669589907	-0.4733688182	-0.9127191669	1.512719167
--25	-45	2.28781854776532	-0.3164203416	-0.9363683806	1.536368381
--20	-45	2.26363192758486	-0.1641957014	-0.9501149496	1.550114950
--15	-45	2.23835106095368	-0.01668424369	-0.9550867682	1.555086768
--10	-45	2.21207950797246	0.1263126081	-0.9521583297	1.552158330
--5	-45	2.18484959587350	0.2650947457	-0.9419741128	1.541974113
-0	-45	2.15663992482467	0.4000000000	-0.9249747154	1.524974715
-5	-45	2.12738474119855	0.5313570417	-0.9014178573	1.501417857
-10	-45	2.09697973073295	0.6594467835	-0.8713958267	1.471395827
-15	-45	2.06529228881559	0.7844681786	-0.8348547763	1.434854776
-20	-45	2.03216382111544	0.9065037643	-0.7916076553	1.391607655
-25	-45	1.99741661629951	1.025482251	-0.7413510154	1.341351015
-30	-45	1.96086166545986	1.141136046	-0.6836852870	1.283685287
-35	-45	1.92231004356450	1.252953200	-0.6181434117	1.218143412
-40	-45	1.88158602334607	1.360123684	-0.5442308497	1.144230850
-45	-45	1.83855702990376	1.461491396	-0.4614913961	1.061491396
-
--45	-40	2.32683079880043	-1.014993282	-0.5873203408	1.414993282
--40	-40	2.30879720061965	-0.8484040560	-0.6484040560	1.487790019
--35	-40	2.28798677937430	-0.6814949463	-0.6960186245	1.544534852
--30	-40	2.26502843312020	-0.5161626568	-0.7315170850	1.586840270
--25	-40	2.24039142336830	-0.3536552852	-0.7561687456	1.616218975
--20	-40	2.21441135024114	-0.1947320020	-0.7710994927	1.634012746
--15	-40	2.18731557981384	-0.03980127507	-0.7772651612	1.641360704
--10	-40	2.15924457402934	0.1109663435	-0.7754448330	1.639191321
--5	-40	2.13026975154564	0.2575484525	-0.7662460504	1.628228639
-0	-40	2.10041209851633	0.4000000000	-0.7501188722	1.609009016
-5	-40	2.06965090261780	0.5383979535	-0.7273682215	1.581895847
-10	-40	2.03793184798257	0.6727948935	-0.6981682872	1.547096720
-15	-40	2.00517839142413	0.8031791395	-0.6625806564	1.504685033
-20	-40	1.97129663163709	0.9294378536	-0.6205698870	1.454618548
-25	-40	1.93618522954822	1.051322004	-0.5720246144	1.396764545
-30	-40	1.89974318346530	1.168411441	-0.5167809061	1.330927657
-35	-40	1.86188198812652	1.280081991	-0.4546537048	1.256887342
-40	-40	1.82254161794474	1.385477784	-0.3854777836	1.174446689
-45	-40	1.78170841729540	1.483493240	-0.3091587778	1.083493240
-
--45	-35	2.28515211076205	-1.048071812	-0.4139507988	1.448071812
--40	-35	2.26517881310958	-0.8830991665	-0.4707139835	1.529138041
--35	-35	2.24246314911873	-0.7157214214	-0.5157214214	1.593415324
--30	-35	2.21761420366881	-0.5481078142	-0.5498604468	1.642170905
--25	-35	2.19110624776655	-0.3818545093	-0.5740326619	1.676692406
--20	-35	2.16329541085500	-0.2180930933	-0.5890902126	1.698196817
--15	-35	2.13443863797643	-0.05759731389	-0.5957979262	1.707776425
--10	-35	2.10471134454565	0.09912077303	-0.5948137600	1.706370890
--5	-35	2.07422375518639	0.2517278886	-0.5866823192	1.694757989
-0	-35	2.04303900322662	0.4000000000	-0.5718390308	1.673559576
-5	-35	2.01118082312383	0.5437656021	-0.5506148831	1.643248352
-10	-35	1.97864319819611	0.6828571421	-0.5232467224	1.604162568
-15	-35	1.94540185762625	0.8170701601	-0.4898919583	1.556527028
-20	-35	1.91142123241542	0.9461280305	-0.4506435081	1.500474432
-25	-35	1.87666174718598	1.069650982	-0.4055478546	1.436071164
-30	-35	1.84109201758570	1.187131380	-0.3546290272	1.363351542
-35	-35	1.80469455442133	1.297912804	-0.2979128037	1.282352381
-40	-35	1.76748357565997	1.401182198	-0.2354613637	1.193162481
-45	-35	1.72951154314330	1.495969456	-0.1674060744	1.095969456
-
--45	-30	2.24329149146550	-1.068579009	-0.2478844864	1.468579009
--40	-30	2.22102271071833	-0.9056479302	-0.2983631454	1.556010611
--35	-30	2.19612974566349	-0.7387204891	-0.3389224552	1.626261397
--30	-30	2.16920530539174	-0.5700981040	-0.3700981040	1.680259204
--25	-30	2.14072795914791	-0.4016032520	-0.3924903553	1.719043721
--20	-30	2.11107323596290	-0.2346447239	-0.4067095264	1.743672048
--15	-30	2.08052644984856	-0.07029181987	-0.4133380375	1.755152966
--10	-30	2.04929657300466	0.09065092318	-0.4129066582	1.754405795
--5	-30	2.01753162285162	0.2475737546	-0.4058827080	1.742239957
-0	-30	1.98533395444008	0.4000000000	-0.3926669772	1.719349640
-5	-30	1.95276779085316	0.5475332823	-0.3735933411	1.686313133
-10	-30	1.91986927726325	0.6898115365	-0.3489345756	1.643602898
-15	-30	1.88665787650554	0.8264688710	-0.3189127060	1.591603495
-20	-30	1.85314256223800	0.9571039079	-0.2837098777	1.530630407
-25	-30	1.81932890985899	1.081254227	-0.2434824184	1.460954404
-30	-30	1.78523017820065	1.198379207	-0.1983792068	1.382833350
-35	-30	1.75087036654072	1.307847983	-0.1485584613	1.296541287
-40	-30	1.71630007841154	1.408942247	-0.09421205349	1.202410548
-45	-30	1.68159436428564	1.500861923	-0.03558292771	1.100861923
-
--45	-25	2.20155881177710	-1.078441264	-0.08940848370	1.478441264
--40	-25	2.17673935217441	-0.9176384475	-0.1322430804	1.570300354
--35	-25	2.14948003231617	-0.7517286150	-0.1670009875	1.644838926
--30	-25	2.12036269615698	-0.5830485544	-0.1939774063	1.702690043
--25	-25	2.08987242516347	-0.4135489246	-0.2135489246	1.744661299
--20	-25	2.05840457219913	-0.2448267515	-0.2261325353	1.771646939
--15	-25	2.02627134398522	-0.07817100306	-0.2321532848	1.784558478
--10	-25	1.99371325722761	0.08538365986	-0.2320224630	1.784277930
--5	-25	1.96091279660194	0.2450024593	-0.2261246350	1.771629997
-0	-25	1.92800679354630	0.4000000000	-0.2148108797	1.747367570
-5	-25	1.89509361302146	0.5497949577	-0.1983952790	1.712164201
-10	-25	1.86224225990066	0.6938696636	-0.1771565877	1.666617681
-15	-25	1.82950372558095	0.8317366646	-0.1513443544	1.611263168
-20	-25	1.79691636379576	0.9629115662	-0.1211852769	1.546586817
-25	-25	1.76451126530674	1.086891805	-0.08689180499	1.473044229
-30	-25	1.73232288853702	1.203144441	-0.04867451047	1.391086977
-35	-25	1.70039063332571	1.311098740	-0.006751993668	1.301183849
-40	-25	1.66877102305551	1.410151655	0.03863465635	1.203851864
-45	-25	1.63753393266612	1.499674342	0.08721343282	1.099674342
-
--45	-20	2.16010799770576	-1.079222686	0.06160697244	1.479222686
--40	-20	2.13258130284134	-0.9204326930	0.02724537262	1.573630406
--35	-20	2.10285382016539	-0.7558675174	-0.0008238245750	1.650749891
--30	-20	2.07150278259434	-0.5878395262	-0.02274879385	1.710988249
--25	-20	2.03902229559744	-0.4183535353	-0.03875495659	1.754964820
--20	-20	2.00582635041313	-0.2491166520	-0.04911665199	1.783433344
--15	-20	1.97225164791435	-0.08156248593	-0.05413300644	1.797215665
--10	-20	1.93856629597602	0.08311330553	-0.05411047112	1.797153749
--5	-20	1.90498147423008	0.2439134005	-0.04935128633	1.784077996
-0	-20	1.87166133721250	0.4000000000	-0.04014587881	1.758786347
-5	-20	1.83872935479987	0.5506581646	-0.02676791764	1.722030701
-10	-20	1.80627664418060	0.6952620379	-0.009473335601	1.674514227
-15	-20	1.77437242603329	0.8332465369	0.01149722410	1.616898088
-20	-20	1.74306887248609	0.9640842391	0.03591576087	1.549808710
-25	-20	1.71240569782336	1.087267255	0.06356269398	1.473849385
-30	-20	1.68241932556607	1.202296923	0.09422003458	1.389619034
-35	-20	1.65314343264887	1.308676950	0.1276666641	1.297725175
-40	-20	1.62462211388232	1.405919047	0.1636697029	1.198807639
-45	-20	1.59690139218667	1.493543827	0.2019825971	1.093543827
-
--45	-15	2.11898568622208	-1.072158081	0.2055364311	1.472158081
--40	-15	2.08868418531302	-0.9151609158	0.1800304371	1.567347746
--35	-15	2.05647142025482	-0.7521175713	0.1591178958	1.645394413
--30	-15	2.02292446672979	-0.5852825035	0.1427287988	1.706559356
--25	-15	1.98854624446369	-0.4166602633	0.1307315799	1.751333586
--20	-15	1.95376622189118	-0.2480019798	0.1229510799	1.780370807
--15	-15	1.91894039338288	-0.08081509160	0.1191849084	1.794426351
--10	-15	1.88435759134025	0.08361463069	0.1192159256	1.794310593
--5	-15	1.85024918860863	0.2441953084	0.1228211335	1.780855774
-0	-15	1.81679726348920	0.4000000000	0.1297782671	1.754891398
-5	-15	1.78413979967136	0.5502377912	0.1398707307	1.717225811
-10	-15	1.75237833716443	0.6942259314	0.1528897484	1.668638176
-15	-15	1.72158809113502	0.8313659448	0.1686340552	1.609879622
-20	-15	1.69182150862086	0.9611232679	0.1869098285	1.541673508
-25	-15	1.66311333967989	1.083010808	0.2075290823	1.464721405
-30	-15	1.63548905347153	1.196578802	0.2303064912	1.379714958
-35	-15	1.60896534820100	1.301406765	0.2550576773	1.287342274
-40	-15	1.58356151492541	1.397105368	0.2815949286	1.188303904
-45	-15	1.55929248675346	1.483313139	0.3097271193	1.083313139
-
--45	-10	2.07816268057197	-1.058192395	0.3428813377	1.458192395
--40	-10	2.04509869208279	-0.9027335869	0.3262457621	1.552537432
--35	-10	2.01046315677041	-0.7413104462	0.3125940324	1.629960239
--30	-10	1.97483407165174	-0.5761020471	0.3018913197	1.690658339
--25	-10	1.93871984236319	-0.4090724444	0.2940618521	1.735061456
--20	-10	1.90255863306319	-0.2419607761	0.2889992787	1.763772736
--15	-10	1.86671706715170	-0.07628318602	0.2865764909	1.777513049
--10	-10	1.83149457865750	0.08665349409	0.2866534941	1.777076342
--5	-10	1.79713154727308	0.2457315632	0.2890832871	1.763296301
-0	-10	1.76381671906624	0.4000000000	0.2937164410	1.737020380
-5	-10	1.73169126632481	0.5486509460	0.3004049275	1.699088088
-10	-10	1.70085606955400	0.6909958417	0.3090041583	1.650319427
-15	-10	1.67138196110946	0.8264444460	0.3193734345	1.591512339
-20	-10	1.64331168732250	0.9544857476	0.3313769410	1.523437071
-25	-10	1.61666665536012	1.074672232	0.3448832000	1.446839270
-30	-10	1.59145422230401	1.186608732	0.3597639595	1.362446289
-35	-10	1.56766896576620	1.289942679	0.3758937216	1.270969862
-40	-10	1.54530153196368	1.384361398	0.3931479567	1.173116233
-45	-10	1.52433777346319	1.469587944	0.4114027873	1.069587944
-
--45	-5	2.03755895409798	-1.038022629	0.4741893220	1.438022629
--40	-5	2.00181687213058	-0.8838629442	0.4661381212	1.530048276
--35	-5	1.96489508784751	-0.7241343920	0.4595430494	1.605430291
--30	-5	1.92736935892419	-0.5609304202	0.4543855911	1.664380310
--25	-5	1.88974667745474	-0.3961426366	0.4506276832	1.707333394
--20	-5	1.85246270417781	-0.2314492063	0.4482165794	1.734892436
--15	-5	1.81588234734399	-0.06831566551	0.4470892511	1.747777858
--10	-5	1.78030240064679	0.09199485083	0.4471762021	1.746784003
--5	-5	1.74595881811985	0.2484043428	0.4484043428	1.732746291
-0	-5	1.71303453978960	0.4000000000	0.4506992023	1.706515926
-5	-5	1.68166268472030	0.5460130429	0.4539869571	1.668936718
-10	-5	1.65193481877682	0.6857966321	0.4581954657	1.620833244
-15	-5	1.62390882491643	0.8188057355	0.4632548442	1.563004283
-20	-5	1.59761188879916	0.9445781752	0.4690980409	1.496216240
-25	-5	1.57304939884549	1.062719353	0.4756605655	1.421206239
-30	-5	1.55020825671653	1.172888842	0.4828804360	1.338682743
-35	-5	1.52906202703410	1.274790325	0.4906977829	1.249330059
-40	-5	1.50957644321799	1.368165112	0.4990543332	1.153814251
-45	-5	1.49171308734394	1.452787784	0.5078930038	1.052787784
-
--45	0	1.99706248343444	-1.012136424	0.6000000000	1.412136424
--40	0	1.95879324626778	-0.8590880286	0.6000000000	1.500522682
--35	0	1.91979082395914	-0.7011467793	0.6000000000	1.572600578
--30	0	1.88062057973966	-0.5403102899	0.6000000000	1.628665197
--25	0	1.84177602153916	-0.3783681807	0.6000000000	1.669215950
--20	0	1.80367682456054	-0.2168938060	0.6000000000	1.694901802
--15	0	1.76667007726455	-0.05724786241	0.6000000000	1.706472254
--10	0	1.73103423637964	0.09940905937	0.6000000000	1.704735937
--5	0	1.69698607140096	0.2520979185	0.6000000000	1.690528527
-0	0	1.66469000902959	0.4000000000	0.6000000000	1.664690009
-5	0	1.63426117262780	0.5424352463	0.6000000000	1.628042315
-10	0	1.60577330850048	0.6788396088	0.6000000000	1.581378004
-15	0	1.57926655807878	0.8087442625	0.6000000000	1.525454355
-20	0	1.55475117485234	0.9317562197	0.6000000000	1.460988206
-25	0	1.53221728407909	1.047543005	0.6000000000	1.388660456
-30	0	1.51163459458000	1.155817297	0.6000000000	1.309113960
-35	0	1.49296169669584	1.256327650	0.6000000000	1.222962626
-40	0	1.47614697825216	1.348848988	0.6000000000	1.130794190
-45	0	1.46113671560021	1.433179680	0.6000000000	1.033179680
-
--45	5	1.95653965947946	-0.9808426499	0.7208080780	1.380842650
--40	5	1.91595737982141	-0.8287970578	0.7281204381	1.464423308
--35	5	1.87514449299621	-0.6727872585	0.7340412926	1.532098985
--30	5	1.83464311420621	-0.5146998059	0.7386088616	1.584306538
--25	5	1.79491638080836	-0.3561910160	0.7418765920	1.621656867
--20	5	1.75635048349317	-0.1986874209	0.7439083678	1.644880170
--15	5	1.71925722595988	-0.04339606755	0.7447741977	1.654776652
--10	5	1.68387982035420	0.1086766523	0.7445467406	1.652176805
--5	5	1.65040115344844	0.2567012893	0.7432987107	1.637911758
-0	5	1.61895467084143	0.4000000000	0.7411011968	1.612794060
-5	5	1.58962821511948	0.5380220034	0.7380220034	1.577598718
-10	5	1.56247204154034	0.6703189268	0.7341249169	1.533054815
-15	5	1.53750665301301	0.7965226340	0.7294694527	1.479842616
-20	5	1.51472769157709	0.9163254280	0.7241107579	1.418592454
-25	5	1.49411275087119	1.029463663	0.7181000003	1.349889181
-30	5	1.47562175595236	1.135702177	0.7114844899	1.274273550
-35	5	1.45920731073387	1.234825805	0.7043087798	1.192254809
-40	5	1.44481090626480	1.326627810	0.6966147829	1.104312021
-45	5	1.43237452267911	1.410909144	0.6884430899	1.010909144
-
--45	10	1.91584698647098	-0.9442997179	0.8370363104	1.344299718
--40	10	1.87322942380926	-0.7932523823	0.8507480423	1.422062814
--35	10	1.83093706523255	-0.6393961172	0.8617417967	1.484411493
--30	10	1.78947270860620	-0.4844834101	0.8701276807	1.531970205
--25	10	1.74924933297554	-0.3300020368	0.8760389044	1.565494420
--20	10	1.71059834823102	-0.1771895930	0.8796220368	1.585815374
--15	10	1.67377761721135	-0.02705568522	0.8810287984	1.593793515
--10	10	1.63897849821064	0.1195906602	0.8804093398	1.590280391
--5	10	1.60633626792773	0.2621097129	0.8779077541	1.576093193
-0	10	1.57594253996670	0.4000000000	0.8736595502	1.552000432
-5	10	1.54785092094267	0.5328698182	0.8677893675	1.518708971
-10	10	1.52208492441240	0.6604102673	0.8604102673	1.476860015
-15	10	1.49864648360444	0.7823718840	0.8516241203	1.427031299
-20	10	1.47751877733675	0.8985439526	0.8415218104	1.369738252
-25	10	1.45867290457357	1.008737800	0.8301847214	1.305442426
-30	10	1.44206870110272	1.112771889	0.8176857304	1.234557125
-35	10	1.42766190519319	1.210462724	0.8040915547	1.157460723
-40	10	1.41540090083544	1.301614333	0.7894637146	1.074502120
-45	10	1.40523460261236	1.386016364	0.7738612884	0.9860163642
-
--45	15	1.87483566009123	-0.9025356828	0.9490133843	1.302535683
--40	15	1.83052608777277	-0.7526090842	0.9680619819	1.373626017
--35	15	1.78714664168225	-0.6012310544	0.9831421940	1.429906135
--30	15	1.74513748537662	-0.4499840003	0.9944789474	1.472215474
--25	15	1.70484063604457	-0.3001474603	1.002317962	1.501471074
--20	15	1.66651009777449	-0.1527282797	1.006909913	1.518608468
--15	15	1.63033119789198	-0.008500361423	1.008500361	1.524544104
--10	15	1.59642840721454	0.1319582050	1.007320435	1.520140559
--5	15	1.56487795902419	0.2682256805	1.003581688	1.506187364
-0	15	1.53572160646709	0.4000000000	0.9974739997	1.483393162
-5	15	1.50897478479995	0.5270668580	0.9891642714	1.452380833
-10	15	1.48463352901040	0.6492713323	0.9787965513	1.413687975
-15	15	1.46268134294887	0.7664935432	0.9664935432	1.367772524
-20	15	1.44309354719890	0.8786281313	0.9523585425	1.315019983
-25	15	1.42584172176697	0.9855676121	0.9364782157	1.255753797
-30	15	1.41089476777560	1.087188252	0.9189251778	1.190244967
-35	15	1.39822135569864	1.183339548	0.8997614104	1.118724814
-40	15	1.38779038150906	1.273836113	0.8790415727	1.041397327
-45	15	1.37957034910335	1.358451797	0.8568163849	0.9584517965
-
--45	20	1.83336182112752	-0.8554698193	1.056953644	1.255469819
--40	20	1.78777198508087	-0.7069367313	1.080148014	1.319195826
--35	20	1.74375751331781	-0.5584844408	1.098223437	1.368857644
--30	20	1.70166743478033	-0.4114757878	1.111566459	1.405517294
--25	20	1.66174762825168	-0.2669358394	1.120567890	1.430248523
--20	20	1.62415712056598	-0.1256025439	1.125602544	1.444081121
--15	20	1.58899022065741	0.01201802945	1.127017407	1.447968427
--10	20	1.55629278706371	0.1456014386	1.125123856	1.442765936
--5	20	1.52607433721155	0.2749595431	1.120193161	1.429218962
-0	20	1.49832273609998	0.4000000000	1.112456557	1.407962819
-5	20	1.47301245695528	0.5206927776	1.102105950	1.379524761
-10	20	1.45011233982875	0.6370418319	1.089296480	1.344331032
-15	20	1.42959004280884	0.7490614068	1.074149449	1.302714905
-20	20	1.41141759184485	0.8567567185	1.056756719	1.254928770
-25	20	1.39557289576295	0.9601076631	1.037184579	1.201154760
-30	20	1.38204104781298	1.059055245	1.015478272	1.141517169
-35	20	1.37081449318554	1.153490295	0.9916667905	1.076095663
-40	20	1.36189301327341	1.243244784	0.9657682473	1.004940000
-45	20	1.35527981658150	1.328083528	0.9377947790	0.9280835276
-
--45	25	1.79129379508296	-0.8029306912	1.160935794	1.202930691
--40	25	1.74490915431383	-0.6562400991	1.186977790	1.258777933
--35	25	1.70077095932716	-0.5113025252	1.206887706	1.301474885
--30	25	1.65910456292910	-0.3691987532	1.221257646	1.332291322
--25	25	1.62003424592886	-0.2306495567	1.230649557	1.352432339
--20	25	1.58360638918964	-0.09608895036	1.235574162	1.362993189
--15	25	1.54981290040003	0.03426636253	1.236480351	1.364936517
--10	25	1.51861376195827	0.1603563591	1.233752501	1.359086624
--5	25	1.48994829831622	0.2822291729	1.227709196	1.346126714
-0	25	1.46374940322445	0.4000000000	1.218607228	1.326607482
-5	25	1.43995157753738	0.5138189080	1.206645779	1.300956072
-10	25	1.41849798731668	0.6238449504	1.191971882	1.269487798
-15	25	1.39934377879124	0.7302250808	1.174685382	1.232416780
-20	25	1.38246037919810	0.8330768827	1.154845006	1.189868956
-25	25	1.36783567204036	0.9324732872	1.132473287	1.141892649
-30	25	1.35547717395881	1.028430164	1.107563283	1.088472973
-35	25	1.34540819188865	1.120893002	1.080083274	1.029541904
-40	25	1.33766810669080	1.209726220	1.049984154	0.9649941316
-45	25	1.33230898728274	1.294702687	1.017206715	0.8947026866
-
--45	30	1.74852284540215	-0.7446768991	1.260879516	1.144676899
--40	30	1.70190865159874	-0.6004821192	1.288390984	1.192328160
--35	30	1.65821189723802	-0.4598034184	1.308943717	1.227926538
--30	30	1.61750480456925	-0.3233701394	1.323370139	1.252913834
--25	30	1.57976625991991	-0.1915491345	1.332415705	1.268581213
--20	30	1.54491666683552	-0.06444301159	1.336725898	1.276046687
--15	30	1.51284086578115	0.05803045475	1.336841963	1.276247718
--10	30	1.48341062850036	0.1760735491	1.333205980	1.269950010
--5	30	1.45649685168685	0.2899604130	1.326167055	1.257758234
-0	30	1.43198056054908	0.4000000000	1.315990280	1.240131543
-5	30	1.40975970638860	0.5065085555	1.302865271	1.217398360
-10	30	1.38975491112783	0.6097887658	1.286914730	1.189771213
-15	30	1.37190984531027	0.7101128457	1.268200316	1.157356896
-20	30	1.35619763167889	0.8077090538	1.246731270	1.120171419
-25	30	1.34261838913894	0.9027482648	1.222468538	1.078147133
-30	30	1.33120334706670	0.9953322352	1.195332235	1.031145679
-35	30	1.32200965138724	1.085478388	1.165205471	0.9789645928
-40	30	1.31512362582046	1.173107106	1.131943501	0.9213531709
-45	30	1.31065644366818	1.258026052	1.095381572	0.8580260519
-
--45	35	1.70497602420756	-0.6804216094	1.356519355	1.080421609
--40	35	1.65878108839112	-0.5396082197	1.384079428	1.119781472
--35	35	1.61614408166144	-0.4041008713	1.404100871	1.148375056
--30	35	1.57695305208845	-0.2742027124	1.417669700	1.167753353
--25	35	1.54102704073715	-0.1498861326	1.425708968	1.179234617
--20	35	1.50815396123168	-0.03090719019	1.428981149	1.183907775
--15	35	1.47811354583321	0.08311068955	1.428098349	1.182647007
--10	35	1.45069461557790	0.1926158019	1.423538056	1.176134233
--5	35	1.42570638155896	0.2980859731	1.415659618	1.164882657
-0	35	1.40298452888273	0.4000000000	1.404718866	1.149257645
-5	35	1.38239571018941	0.4988180423	1.390881188	1.129495392
-10	35	1.36384104523197	0.5949680370	1.374232558	1.105718684
-15	35	1.34725622483487	0.6888351151	1.354786842	1.077947324
-20	35	1.33261493341065	0.7807524771	1.332493291	1.046108833
-25	35	1.31992830466663	0.8709912620	1.307240437	1.010044021
-30	35	1.30924866523225	0.9597497022	1.278861658	0.9695149238
-35	35	1.30066817739212	1.047138103	1.247138103	0.9242089914
-40	35	1.29432046403499	1.133161329	1.211804689	0.8737476476
-45	35	1.29037967431664	1.217697179	1.172557728	0.8176971785
-
--45	40	1.66063619993670	-0.6098667542	1.447378821	1.009866754
--40	40	1.61559129477885	-0.4735763906	1.473576391	1.041087802
--35	40	1.57467207963757	-0.3443224373	1.491965094	1.063002605
--30	40	1.53756044797758	-0.2219151356	1.503868568	1.077188613
--25	40	1.50391144819716	-0.1059074944	1.510357753	1.084922123
--20	40	1.47338380538239	0.004288290764	1.512276659	1.087208986
--15	40	1.44566199775990	0.1093222415	1.510275555	1.084824163
--10	40	1.42046399627847	0.2098585461	1.504839539	1.078345771
--5	40	1.39754873236741	0.3065456478	1.496316269	1.068188134
-0	40	1.37671598896062	0.4000000000	1.484935980	1.054625633
-5	40	1.35780834364029	0.4907969048	1.470828817	1.037813371
-10	40	1.34071164797357	0.5794659088	1.454037070	1.017801746
-15	40	1.32535402440872	0.6664875591	1.434522435	0.9945451102
-20	40	1.31170837332154	0.7522899875	1.412171905	0.9679087858
-25	40	1.29979329368716	0.8372432760	1.386799584	0.9376712313
-30	40	1.28967625382112	0.9216505038	1.358147642	0.9035251763
-35	40	1.28147870155723	1.005734593	1.325887177	0.8650786509
-40	40	1.27537607987457	1.089616511	1.289616511	0.8218529550
-45	40	1.27160433139715	1.173288538	1.248866127	0.7732885377
-
--45	45	1.61556236910744	-0.5327453687	1.532745369	0.9327453687
--40	45	1.57247198302766	-0.4023909481	1.556252295	0.9562522951
--35	45	1.53395441508082	-0.2806349114	1.572047392	0.9720473921
--30	45	1.49947726234264	-0.1667491333	1.581638294	0.9816382939
--25	45	1.46853839799945	-0.05986635688	1.586186585	0.9861865848
--20	45	1.44068480956417	0.04091857574	1.586568105	0.9865681049
--15	45	1.41552309382464	0.1364907677	1.583429843	0.9834298434
--10	45	1.39271858390099	0.2276872439	1.577234201	0.9772342012
--5	45	1.37199452473181	0.3152851205	1.568295504	0.9682955037
-0	45	1.35312746600398	0.4000000000	1.556805607	0.9568056070
-5	45	1.33594416169081	0.4824889215	1.542852688	0.9428526876
-10	45	1.32031986535741	0.5633552949	1.526433914	0.9264339141
-15	45	1.30617628102224	0.6431535809	1.507461518	0.9074615180
-20	45	1.29348323007888	0.7223923772	1.485765776	0.8857657765
-25	45	1.28226017170980	0.8015341475	1.461092758	0.8610927582
-30	45	1.27258091866288	0.8809903763	1.433099770	0.8330997697
-35	45	1.26458242150222	0.9611111621	1.401349788	0.8013497877
-40	45	1.25847170776402	1.042164896	1.365302321	0.7653023213
-45	45	1.25453589585781	1.124306637	1.324306637	0.7243066372
-
-
-### +x patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = drho = dnu
-# dpy = dsigma = dphi
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-45	1.83855710368077	1.461491439	-0.4614914387	1.061491439
-45	-40	1.78170853158578	1.483493309	-0.3091588361	1.083493309
-45	-35	1.72951164584203	1.495969521	-0.1674061200	1.095969521
-45	-30	1.68159442128726	1.500861961	-0.03558294926	1.100861961
-45	-25	1.63753399996246	1.499674387	0.08721341175	1.099674387
-45	-20	1.59690142182508	1.493543847	0.2019825897	1.093543847
-45	-15	1.55929251654012	1.483313160	0.3097271137	1.083313160
-45	-10	1.52433778672871	1.469587953	0.4114027856	1.069587953
-45	-5	1.49171309695831	1.452787791	0.5078930032	1.052787791
-45	0	1.46113672057138	1.433179683	0.6000000000	1.033179683
-45	5	1.43237452440768	1.410909145	0.6884430900	1.010909145
-45	10	1.40523460608306	1.386016367	0.7738612889	0.9860163666
-45	15	1.37957034623907	1.358451795	0.8568163843	0.9584517946
-45	20	1.35527982646349	1.328083534	0.9377947814	0.9280835344
-45	25	1.33230900482341	1.294702698	1.017206720	0.8947026984
-45	30	1.31065647503188	1.258026072	1.095381584	0.8580260724
-45	35	1.29037968724845	1.217697187	1.172557734	0.8176971867
-45	40	1.27160436703282	1.173288559	1.248866145	0.7732885594
-45	45	1.25453589649598	1.124306638	1.324306638	0.7243066376
-
-50	-45	1.85265029385819	1.526634442	-0.5266344422	0.9453585449
-50	-40	1.79316359383388	1.555515476	-0.3695926099	0.9695926099
-50	-35	1.73785671955745	1.573162492	-0.2214572202	0.9844002140
-50	-30	1.68657678655878	1.581586917	-0.08218952449	0.9914691461
-50	-25	1.63907421986389	1.582428583	0.04862449671	0.9921753875
-50	-20	1.59505351270153	1.576988986	0.1716110429	0.9876110244
-50	-15	1.55420796410954	1.566277012	0.2874970166	0.9786226103
-50	-10	1.51623918584347	1.551053542	0.3970382044	0.9658486023
-50	-5	1.48087536022509	1.531877158	0.5009735802	0.9497577058
-50	0	1.44787301660375	1.509135079	0.6000000000	0.9306748355
-50	5	1.41702857838521	1.483077160	0.6947569733	0.9088096459
-50	10	1.38817546610378	1.453833921	0.7858193535	0.8842716546
-50	15	1.36118931049052	1.421435894	0.8736929229	0.8570864819
-50	20	1.33598906678531	1.385825494	0.9588111361	0.8272058087
-50	25	1.31254069308444	1.346867209	1.041531431	0.7945159255
-50	30	1.29086074165762	1.304355008	1.122129607	0.7588439539
-50	35	1.27102091053359	1.258018985	1.200791361	0.7199634137
-50	40	1.25315299888039	1.207532391	1.277600131	0.6776001314
-50	45	1.23745505170122	1.152521664	1.352521664	0.6314406507
-
-55	-45	1.86481952356807	1.581712401	-0.5817124008	0.8274439310
-55	-40	1.80331006281718	1.617347611	-0.4214759317	0.8523959741
-55	-35	1.74546926420307	1.640268976	-0.2684456863	0.8684456863
-55	-30	1.69133707115326	1.652456142	-0.1231058905	0.8769792316
-55	-25	1.64083121441031	1.655607408	0.01450064997	0.8791857722
-55	-20	1.59379589306142	1.651137084	0.1446233424	0.8760556176
-55	-15	1.55003405597948	1.640191014	0.2676918194	0.8683910967
-55	-10	1.50933358065177	1.623675110	0.3842330626	0.8568265360
-55	-5	1.47148796197692	1.602288795	0.4948133602	0.8418516773
-55	0	1.43630314969611	1.576550661	0.6000000000	0.8238296421
-55	5	1.40361347915485	1.546831508	0.7003347559	0.8030200669
-55	10	1.37328017263025	1.513371350	0.7963174085	0.7795910118
-55	15	1.34520173134708	1.476303513	0.8883946570	0.7536358329
-55	20	1.31931422500717	1.435667716	0.9769522213	0.7251823419
-55	25	1.29559517653709	1.391423668	1.062308449	0.6942023261
-55	30	1.27406588188611	1.343461635	1.144707829	0.6606189489
-55	35	1.25479431893222	1.291612643	1.224313894	0.6243138941
-55	40	1.23789789212233	1.235658866	1.301201046	0.5851346373
-55	45	1.22354625700029	1.175345692	1.375345692	0.5429028986
-
-60	-45	1.87511391705615	1.627550209	-0.6275502088	0.7087264435
-60	-40	1.81208448781005	1.669515471	-0.4652499632	0.7329550987
-60	-35	1.75221960971500	1.697540419	-0.3085475824	0.7491353101
-60	-30	1.69571843810848	1.713497854	-0.1583483397	0.7583483397
-60	-25	1.64264892774743	1.719077146	-0.01509577466	0.7615695451
-60	-20	1.59299025808337	1.715753778	0.1211047892	0.7596507980
-60	-15	1.54665837575355	1.704776508	0.2503861884	0.7533130681
-60	-10	1.50353446340272	1.687178055	0.3730357800	0.7431525963
-60	-5	1.46348622805543	1.663793912	0.4894323597	0.7296517554
-60	0	1.42637574046236	1.635277627	0.6000000000	0.7131878702
-60	5	1.39208013161466	1.602131159	0.7051728485	0.6940507483
-60	10	1.36049052340316	1.564717928	0.8053711957	0.6724502094
-60	15	1.33152620442717	1.523288852	0.9009843407	0.6485311210
-60	20	1.30513380707419	1.477994500	0.9923579109	0.6223804150
-60	25	1.28129443043687	1.428902872	1.079785289	0.5940373503
-60	30	1.26002347008347	1.376009983	1.163499626	0.5634996265
-60	35	1.24137246504201	1.319251753	1.243667007	0.5307302471
-60	40	1.22543089762057	1.258515976	1.320380439	0.4956644299
-60	45	1.21232694867114	1.193654287	1.393654287	0.4582165163
-
-65	-45	1.88361611667965	1.664929094	-0.6649290940	0.5898461235
-65	-40	1.81946750395018	1.712564346	-0.5013722588	0.6120588065
-65	-35	1.75801973069737	1.745283158	-0.3419774081	0.6273158388
-65	-30	1.69959483155734	1.764805748	-0.1879709662	0.6364193723
-65	-25	1.64439165373974	1.772766320	-0.04013144793	0.6401314479
-65	-20	1.59251101615059	1.770657307	0.1011215389	0.6391479989
-65	-15	1.54397704126258	1.759796815	0.2356435417	0.6340836682
-65	-10	1.49876482988683	1.741322780	0.3634886041	0.6254690843
-65	-5	1.45681544751648	1.716192108	0.4848481116	0.6137504594
-65	0	1.41804980451932	1.685189580	0.6000000000	0.5992937434
-65	5	1.38238979244517	1.648950605	0.7092690192	0.5823952318
-65	10	1.34975664772610	1.607967589	0.8129972778	0.5632845378
-65	15	1.32008751751704	1.562614957	0.9115217388	0.5421362579
-65	20	1.29333549858907	1.513160119	1.005157149	0.5190750880
-65	25	1.26947700537737	1.459781150	1.094184066	0.4941840660
-65	30	1.24851421459390	1.402579759	1.178839694	0.4675106196
-65	35	1.23047416604054	1.341591350	1.259309361	0.4390712574
-65	40	1.21541161248317	1.276798264	1.335721100	0.4088577451
-65	45	1.20340895611117	1.208140781	1.408140781	0.3768422353
-
-70	-45	1.89041641440815	1.694540296	-0.6945402958	0.4711741347
-70	-40	1.82546321959612	1.747008165	-0.5302740541	0.4902708772
-70	-35	1.76280964995537	1.783813658	-0.3689567550	0.5036669814
-70	-30	1.70287154129959	1.806511843	-0.2120499913	0.5119284451
-70	-25	1.64595188738118	1.816653297	-0.06059628127	0.5156196323
-70	-20	1.59225501945511	1.815716118	0.08472147296	0.5152785270
-70	-15	1.54190209395873	1.805059339	0.2235154848	0.5113997767
-70	-10	1.49495428669766	1.785901894	0.3556281035	0.5044270370
-70	-5	1.45142350074719	1.759305991	0.4810761355	0.4947469201
-70	0	1.41128715681329	1.726176127	0.6000000000	0.4826886356
-70	5	1.37450776533321	1.687271868	0.7126216953	0.4685286432
-70	10	1.34103505920293	1.643210609	0.8192115730	0.4524916564
-70	15	1.31082090442204	1.594486447	0.9200616787	0.4347575118
-70	20	1.28382097328065	1.541479237	1.015464465	0.4154644652
-70	25	1.26000313631314	1.484471309	1.105697276	0.3947152762
-70	30	1.23935153432982	1.423660663	1.191010759	0.3725820113
-70	35	1.22186575766357	1.359170222	1.271618220	0.3491094106
-70	40	1.20756491471146	1.291061393	1.347689286	0.3243198240
-70	45	1.19648701381318	1.219343633	1.419343633	0.2982166940
-
-75	-45	1.89560358188232	1.716964126	-0.7169641257	0.3528794739
-75	-40	1.83009047990760	1.773299137	-0.5523347994	0.3679743947
-75	-35	1.76655590596355	1.813431371	-0.3896953004	0.3787277943
-75	-30	1.70548106695150	1.838760922	-0.2306690056	0.3855148272
-75	-25	1.64724730452264	1.850748021	-0.07649491238	0.3887267607
-75	-20	1.59214081766713	1.850839410	0.07193763999	0.3887512483
-75	-15	1.54036330883740	1.840413950	0.2140422454	0.3859577546
-75	-10	1.49204878001560	1.820748877	0.3494836402	0.3806885142
-75	-5	1.44727076249696	1.792991014	0.4781290779	0.3732508173
-75	0	1.40605689195242	1.758146665	0.6000000000	0.3639143021
-75	5	1.36840577969094	1.717083855	0.7152299062	0.3529115553
-75	10	1.33428978707439	1.670528646	0.8240284800	0.3404371246
-75	15	1.30367208586776	1.619080880	0.9266517374	0.3266517374
-75	20	1.27650861591858	1.563219350	1.023377219	0.3116836855
-75	25	1.25275745565764	1.503316663	1.114485010	0.2956328090
-75	30	1.23238285901597	1.439650532	1.200242515	0.2785735205
-75	35	1.21535951580160	1.372416022	1.280893029	0.2605580877
-75	40	1.20167437782538	1.301735955	1.356646307	0.2416194208
-75	45	1.19132678662913	1.227670223	1.427670223	0.2217735679
-
-80	-45	1.89925173714658	1.732655266	-0.7326552655	0.2349830793
-80	-40	1.83337359316774	1.791806245	-0.5678641067	0.2454129929
-80	-35	1.76924035796933	1.834391586	-0.4043718014	0.2529219375
-80	-30	1.70737624663940	1.861687304	-0.2439055581	0.2577349090
-80	-25	1.64821630045007	1.875074692	-0.08783862522	0.2600954668
-80	-20	1.59210544449680	1.875966169	0.06279224779	0.2602526582
-80	-15	1.53930540678781	1.865747271	0.2072542024	0.2584507908
-80	-10	1.49000560593100	1.845733852	0.3450781150	0.2549218850
-80	-5	1.44432734981270	1.817134476	0.4760167987	0.2498790434
-80	0	1.40233722059248	1.781032567	0.6000000000	0.2435133028
-80	5	1.36406208510749	1.738380394	0.7170931120	0.2359925740
-80	10	1.32949193789180	1.689989442	0.8274599435	0.2274599435
-80	15	1.29859703988388	1.636541533	0.9313303052	0.2180356350
-80	20	1.27133233411578	1.578592486	1.028972583	0.2078176546
-80	25	1.24764692855188	1.516584279	1.120671800	0.1968839346
-80	30	1.22748910284337	1.450855217	1.206711543	0.1852941276
-80	35	1.21081232895664	1.381652385	1.287360400	0.1730918012
-80	40	1.19757831956371	1.309142027	1.362860739	0.1603062686
-80	45	1.18775737025889	1.233418279	1.433418279	0.1469541288
-
-85	-45	1.90141766701521	1.741939887	-0.7419398871	0.1174045273
-85	-40	1.83533411681296	1.802800546	-0.5770894209	0.1227291450
-85	-35	1.77085382618272	1.846887618	-0.4131216173	0.1265862640
-85	-30	1.70852534395794	1.875397504	-0.2518211463	0.1290805558
-85	-25	1.64881497807079	1.889658326	-0.09463908554	0.1303282161
-85	-20	1.59210275361291	1.891056753	0.05729972443	0.1304505625
-85	-15	1.53868735601227	1.880979037	0.2031728629	0.1295688767
-85	-10	1.48879288589414	1.860762843	0.3424280983	0.1278001889
-85	-5	1.44257082295207	1.831654181	0.4747464890	0.1252535110
-85	0	1.40011240382768	1.794784553	0.6000000000	0.1220278365
-85	5	1.36146237751187	1.751159523	0.7182111409	0.1182111409
-85	10	1.32662171612369	1.701644929	0.8295151203	0.1138791752
-85	15	1.29556538945438	1.646975336	0.9341260344	0.1090962056
-85	20	1.26824633505670	1.587754533	1.032307295	0.1039150567
-85	25	1.24460763317992	1.524468269	1.124348165	0.09837822600
-85	30	1.22458696449154	1.457492391	1.210543517	0.09251859599
-85	35	1.20812406101435	1.387105609	1.291178789	0.08636055053
-85	40	1.19516468453354	1.313499976	1.366517493	0.07992089206
-85	45	1.18566116146766	1.236789325	1.436789325	0.07320957965
-
-90	-45	1.90213490743581	1.745012492	-0.7450124918	0.000000000
-90	-40	1.83598514961913	1.806446222	-0.5801485057	0.000000000
-90	-35	1.77139125527095	1.851038768	-0.4160282836	0.000000000
-90	-30	1.70890957096503	1.879959101	-0.2544547855	0.000000000
-90	-25	1.64901670086095	1.894516677	-0.09690457170	0.000000000
-90	-20	1.59210426616875	1.896088630	0.05546827070	0.000000000
-90	-15	1.53848342293054	1.886060872	0.2018111896	0.000000000
-90	-10	1.48839011494307	1.865778125	0.3415437689	0.000000000
-90	-5	1.44198613066850	1.836498938	0.4743226277	0.000000000
-90	0	1.39937115520189	1.799371155	0.6000000000	0.000000000
-90	5	1.36059605531513	1.755418577	0.7185837598	0.000000000
-90	10	1.32566556678831	1.705525728	0.8301994099	0.000000000
-90	15	1.29455620320659	1.650445270	0.9350558003	0.000000000
-90	20	1.26722010568657	1.590797382	1.033414802	0.000000000
-90	25	1.24359821704181	1.527082748	1.125567317	0.000000000
-90	30	1.22362459487473	1.459689984	1.211812297	0.000000000
-90	35	1.20723410637523	1.388908286	1.292441037	0.000000000
-90	40	1.19436704328397	1.314938237	1.367724337	0.000000000
-90	45	1.18496964630267	1.237900072	1.437900072	0.000000000
-
-
-### +y patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = 90 - dsigma = 90 - dphi
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
-45	45	1.25453593314896	1.124306659	1.324306659	0.7243066587
-40	45	1.25847179665140	1.042164941	1.365302375	0.7653023754
-35	45	1.26458247455989	0.9611111856	1.401349821	0.8013498213
-30	45	1.27258097801434	0.8809903987	1.433099809	0.8330998085
-25	45	1.28226019564128	0.8015341550	1.461092774	0.8610927742
-20	45	1.29348323725399	0.7223923790	1.485765781	0.8857657814
-15	45	1.30617628949730	0.6431535825	1.507461524	0.9074615239
-10	45	1.32031986988007	0.5633552955	1.526433917	0.9264339173
-5	45	1.33594416470411	0.4824889217	1.542852690	0.9428526897
-0	45	1.35312747000108	0.4000000000	1.556805610	0.9568056098
--5	45	1.37199453288963	0.3152851200	1.568295509	0.9682955095
--10	45	1.39271860314216	0.2276872415	1.577234215	0.9772342147
--15	45	1.41552311974411	0.1364907628	1.583429861	0.9834298614
--20	45	1.44068485444865	0.04091856455	1.586568136	0.9865681356
--25	45	1.46853847138171	-0.05986637986	1.586186634	0.9861866341
--30	45	1.49947735422727	-0.1667491680	1.581638354	0.9816383541
--35	45	1.53395458947413	-0.2806349888	1.572047503	0.9720475026
--40	45	1.57247212216943	-0.4023910191	1.556252380	0.9562523797
--45	45	1.61556257171606	-0.5327454857	1.532745486	0.9327454857
-
-45	50	1.23745507716645	1.152521679	1.352521679	0.6314406637
-40	50	1.23947181920476	1.070202496	1.398716232	0.6702024959
-35	50	1.24402374184178	0.9880302290	1.439794199	0.7046710030
-30	50	1.25084326938723	0.9059432704	1.476319450	0.7353193273
-25	50	1.25972903946348	0.8237658824	1.508768868	0.7625476216
-20	50	1.27054034880511	0.7412333509	1.537530926	0.7866818545
-15	50	1.28319492438818	0.6580106726	1.562908939	0.8079765356
-10	50	1.29766314686891	0.5737034927	1.585121460	0.8266150541
-5	50	1.31396538670640	0.4878651178	1.604302892	0.8427101867
-0	50	1.33217041917687	0.4000000000	1.620501747	0.8563026394
--5	50	1.35239315243702	0.3095652101	1.633674379	0.8673557899
--10	50	1.37479611053976	0.2159715896	1.643676978	0.8757489677
--15	50	1.39958844910452	0.1185862021	1.650250592	0.8812648841
--20	50	1.42702681317282	0.01673854612	1.653002190	0.8835737495
--25	50	1.45741572093148	-0.09026658884	1.651380093	0.8822126480
--30	50	1.49110175214138	-0.2031234411	1.644640443	0.8765574107
--35	50	1.52846954968746	-0.3224832366	1.631812994	0.8657939029
--40	50	1.56992067900889	-0.4488815487	1.611657635	0.8488815487
--45	50	1.61584828872881	-0.5826303116	1.582630312	0.8245247320
-
-45	55	1.22354629667482	1.175345718	1.375345718	0.5429029162
-40	55	1.22377029464923	1.093198540	1.426121850	0.5784567468
-35	55	1.22680730997176	1.010389159	1.471726061	0.6103891590
-30	55	1.23242591785390	0.9269052846	1.512626724	0.6390281115
-25	55	1.24044729182761	0.8426299773	1.549223049	0.6646531347
-20	55	1.25074164579137	0.7573597803	1.581837927	0.6874903178
-15	55	1.26323077555022	0.6708210953	1.610718087	0.7077124237
-10	55	1.27788486415052	0.5826801623	1.636030683	0.7254364943
-5	55	1.29471968345956	0.4925506811	1.657859125	0.7407209337
-0	55	1.31379689538845	0.4000000000	1.676199413	0.7535629413
--5	55	1.33522102144956	0.3045541545	1.690951006	0.7638921184
--10	55	1.35914054051316	0.2057039241	1.701907803	0.7715641500
--15	55	1.38574335499944	0.1029137190	1.708741095	0.7763488726
--20	55	1.41525709091258	-0.004364854069	1.710983306	0.7779188855
--25	55	1.44794473216123	-0.1166714846	1.708005574	0.7758338556
--30	55	1.48409466580381	-0.2345024970	1.698990562	0.7695214762
--35	55	1.52401227800232	-0.3582613546	1.682909442	0.7582613546
--40	55	1.56799399142215	-0.4881823245	1.658494476	0.7411658113
--45	55	1.61629787931661	-0.6242273975	1.624227397	0.7171717446
-
-45	60	1.21232697197081	1.193654302	1.393654302	0.4582165251
-40	60	1.21094315328632	1.111863690	1.448366110	0.4898044017
-35	60	1.21257804902638	1.028736746	1.497929130	0.5184196249
-30	60	1.21704573849957	0.9442794006	1.542719575	0.5442794006
-25	60	1.22419889944104	0.8584056627	1.583054116	0.5675665586
-20	60	1.23393024889089	0.7709522288	1.619182872	0.5884255057
-15	60	1.24617524036845	0.6816912141	1.651285923	0.6069602107
-10	60	1.26091124761864	0.5903393269	1.679467964	0.6232311198
-5	60	1.27815529249820	0.4965657291	1.703751335	0.6372511302
-0	60	1.29796455171107	0.4000000000	1.724070275	0.6489822759
--5	60	1.32043335937349	0.3002401266	1.740260570	0.6583297472
--10	60	1.34569353610744	0.1968624656	1.752050206	0.6651364964
--15	60	1.37390867289127	0.08943533010	1.759043127	0.6691738614
--20	60	1.40527134965582	-0.02246191769	1.760704579	0.6701331014
--25	60	1.43999600718485	-0.1392116627	1.756343142	0.6676150245
--30	60	1.47830774138762	-0.2611193203	1.745092253	0.6611193203
--35	60	1.52042680555544	-0.3883601409	1.725894964	0.6500357604
--40	60	1.56654812887056	-0.5209092334	1.697496887	0.6336401234
--45	60	1.61681013142320	-0.6584506874	1.658450687	0.6110967893
-
-45	65	1.20340896741194	1.208140789	1.408140789	0.3768422388
-40	65	1.20063781789213	1.126778127	1.466140444	0.4038879223
-35	65	1.20103255859640	1.043534038	1.519061854	0.4285655808
-30	65	1.20445351371466	0.9584121470	1.567198210	0.4510119323
-25	65	1.21078970212628	0.8713381775	1.610787984	0.4713381775
-20	65	1.21996235787624	0.7821718893	1.650008636	0.4896270681
-15	65	1.23192670824472	0.6907170511	1.684970805	0.5059301953
-10	65	1.24667324674071	0.5967302835	1.715712880	0.5202654602
-5	65	1.26422336308674	0.4999287232	1.742190533	0.5326121927
-0	65	1.28463345770582	0.4000000000	1.764273306	0.5429095589
--5	65	1.30798875777581	0.2966119039	1.781731346	0.5510503766
--10	65	1.33440384539292	0.1894254590	1.794227566	0.5568774597
--15	65	1.36401575949363	0.07811182552	1.801303022	0.5601767987
--20	65	1.39697940401513	-0.03762518953	1.802365326	0.5606721596
--25	65	1.43345826489738	-0.1580189565	1.796675514	0.5580189565
--30	65	1.47361321605595	-0.2832007300	1.783338376	0.5517997470
--35	65	1.51758359767676	-0.4131475654	1.761295075	0.5415207867
--40	65	1.56547264960960	-0.5476223920	1.729332390	0.5266163421
--45	65	1.61731558300850	-0.6860968522	1.686096852	0.5064552797
-
-45	70	1.19648702690860	1.219343642	1.419343642	0.2982166973
-40	70	1.19256916392280	1.138404351	1.479996038	0.3202923641
-35	70	1.19191847751917	1.055157215	1.535661470	0.3405529245
-30	70	1.19443767373663	0.9695926434	1.586563398	0.3590797111
-25	70	1.20005190476689	0.8816360865	1.632871921	0.3759346349
-20	70	1.20871235925274	0.7911581477	1.674698178	0.3911581477
-15	70	1.22039681467590	0.6979829296	1.712087433	0.4047667235
-10	70	1.23511020507068	0.6018966238	1.745012652	0.4167505232
-5	70	1.25288234078573	0.5026561921	1.773365645	0.4270701687
-0	70	1.27377095985675	0.4000000000	1.796953172	0.4356553263
--5	70	1.29785343340249	0.2936590556	1.815482557	0.4423994710
--10	70	1.32522802708746	0.1833723150	1.828556652	0.4471580523
--15	70	1.35600548539216	0.06890565250	1.835660927	0.4497437971
--20	70	1.39030378106625	-0.04992396048	1.836155922	0.4499239605
--25	70	1.42823749387753	-0.1732174704	1.829268832	0.4474172648
--30	70	1.46990771959437	-0.3009563093	1.814091942	0.4418933284
--35	70	1.51538219022342	-0.4329542612	1.789581968	0.4329724275
--40	70	1.56468515642353	-0.5688078161	1.754580195	0.4202328242
--45	70	1.61776956545668	-0.7078341659	1.707834166	0.4032186609
-
-45	75	1.19132678836086	1.227670225	1.427670225	0.2217735683
-40	75	1.18651302158554	1.147099807	1.490358879	0.2385709427
-35	75	1.18503319260069	1.063903009	1.548151759	0.2540564981
-30	75	1.18682539722227	0.9780533667	1.601217801	0.2682755011
-25	75	1.19184655087641	0.8894699938	1.649671789	0.2812587082
-20	75	1.20007514497410	0.7980266734	1.693569298	0.2930210101
-15	75	1.21150985368606	0.7035593098	1.732898767	0.3035593098
-10	75	1.22617136816253	0.6058752983	1.767576836	0.3128512703
-5	75	1.24409828223512	0.5047622938	1.797438498	0.3208526785
-0	75	1.26535070610725	0.4000000000	1.822234926	0.3274968615
--5	75	1.29000010081701	0.2913724329	1.841618773	0.3326907476
--10	75	1.31813039954986	0.1786846960	1.855141460	0.3363141407
--15	75	1.34982880844753	0.06178310467	1.862242637	0.3382168953
--20	75	1.38518045051446	-0.05942020305	1.862246634	0.3382179662
--25	75	1.42425716933605	-0.1849168648	1.854358265	0.3361042840
--30	75	1.46710903782158	-0.3145678889	1.837667889	0.3316321114
--35	75	1.51374540830848	-0.4480607444	1.811156262	0.3245283422
--40	75	1.56412669788084	-0.5848680403	1.773720025	0.3144973329
--45	75	1.61814335942214	-0.7241995821	1.724199582	0.3012283701
-
-45	80	1.18775737177606	1.233418280	1.433418280	0.1469541289
-40	80	1.18230255025539	1.153130031	1.497545421	0.1582614741
-35	80	1.18022286472721	1.069995210	1.556852323	0.1687188811
-30	80	1.18148279463991	0.9839719858	1.611469150	0.1783493012
-25	80	1.18606384008063	0.8949717588	1.661470362	0.1871658641
-20	80	1.19396640249399	0.8028677934	1.706870165	0.1951710743
-15	80	1.20520544668287	0.7075019241	1.747612804	0.2023551008
-10	80	1.21981559018379	0.6086956508	1.783571850	0.2086956508
-5	80	1.23784336698532	0.5062583101	1.814538042	0.2141558259
-0	80	1.25935127545454	0.4000000000	1.840218900	0.2186840540
--5	80	1.28440654823073	0.2897446374	1.860224561	0.2222115919
--10	80	1.31308192312348	0.1753476110	1.874067010	0.2246523890
--15	80	1.34544601231566	0.05671642230	1.881151753	0.2259016205
--20	80	1.38155813409937	-0.06616494047	1.880777648	0.2258356556
--25	80	1.42145704199194	-0.1932067638	1.872136010	0.2243119017
--30	80	1.46515403094324	-0.3241822842	1.854320510	0.2211705484
--35	80	1.51261524137642	-0.4586894867	1.826335679	0.2162360676
--40	80	1.56375467498930	-0.5961161017	1.787124943	0.2093221569
--45	80	1.61841942565501	-0.7356025782	1.735602578	0.2002373739
-
-45	85	1.18566116177574	1.236789325	1.436789325	0.07320957967
-40	85	1.17982171438206	1.156677297	1.501772887	0.07889490470
-35	85	1.17737961524696	1.073589611	1.561985660	0.08416283976
-30	85	1.17831547719936	0.9874738961	1.617534636	0.08902274542
-25	85	1.18262624076705	0.8982356549	1.668469810	0.09347899570
-20	85	1.19032622285903	0.8057466566	1.714779777	0.09753059281
-15	85	1.20144120293575	0.7098514270	1.756381268	0.1011702517
-10	85	1.21601479505099	0.6103793256	1.793120444	0.1043845131
-5	85	1.23409914611648	0.5071526253	1.824760112	0.1071526253
-0	85	1.25575856314322	0.4000000000	1.850980023	0.1094465703
--5	85	1.28105773189384	0.2887701206	1.871363339	0.1112298794
--10	85	1.31006229831383	0.1733497784	1.885397281	0.1124576902
--15	85	1.34282897690858	0.05368469664	1.892466308	0.1130761499
--20	85	1.37940059059480	-0.07019646122	1.891854160	0.1130225939
--25	85	1.41979502328051	-0.1981539043	1.882745187	0.1122256621
--30	85	1.46399940815547	-0.3299076121	1.864237069	0.1106064115
--35	85	1.51195335283331	-0.4650022963	1.835351305	0.1080792347
--40	85	1.56354278878113	-0.6027763659	1.795062337	0.1045544067
--45	85	1.61858928992674	-0.7423316227	1.742331623	0.09994106698
-
-45	90	1.18496964645972	1.237900073	1.437900073	0.000000000
-40	90	1.17900195506956	1.157847849	1.503167896	0.000000000
-35	90	1.17643853591678	1.074777423	1.563682032	0.000000000
-30	90	1.17726549831596	0.9886327492	1.619541829	0.000000000
-25	90	1.18148502743236	0.8993171486	1.670789081	0.000000000
-20	90	1.18911621807103	0.8067016993	1.717403735	0.000000000
-15	90	1.20018868595747	0.7106316896	1.759293248	0.000000000
-10	90	1.21474913007631	0.6109389728	1.796294361	0.000000000
-5	90	1.23285167660568	0.5074501036	1.828160304	0.000000000
-0	90	1.25456129773949	0.4000000000	1.854561298	0.000000000
--5	90	1.27994182401713	0.2884457197	1.875071259	0.000000000
--10	90	1.30905648904261	0.1726847262	1.889168980	0.000000000
--15	90	1.34195791078883	0.05267573496	1.896231804	0.000000000
--20	90	1.37868321319610	-0.07153743018	1.895538442	0.000000000
--25	90	1.41924316175037	-0.1997980780	1.886271129	0.000000000
--30	90	1.46361670377104	-0.3318083519	1.867529247	0.000000000
--35	90	1.51173450126016	-0.4670952879	1.838340407	0.000000000
--40	90	1.56347310503035	-0.6049811400	1.797689884	0.000000000
--45	90	1.61864565527610	-0.7445553192	1.744555319	0.000000000
-
-
-### -x patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = drho = dnu
-# dpy = 180 - dsigma = 180 - dphi
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--90	45	1.61864564809350	-0.7445553141	1.744555314	1.401676002e-16
--90	40	1.67698609100679	-0.8846458762	1.677945881	1.573237460e-16
--90	35	1.73814785541947	-1.023807369	1.596960653	1.743661137e-16
--90	30	1.80170377980948	-1.160321243	1.500851890	1.910842416e-16
--90	25	1.86713980525775	-1.292203345	1.389087379	2.072351410e-16
--90	20	1.93386960323120	-1.417242996	1.261422359	2.225480818e-16
--90	15	2.00123408540714	-1.533043688	1.117957495	2.367295765e-16
--90	10	2.06852973197637	-1.637104117	0.9591964184	2.494733037e-16
--90	5	2.13501350535426	-1.726889134	0.7860786878	2.604687971e-16
--90	-2.84217e-14	2.19992588910757	-1.799925889	0.6000000000	2.694132198e-16
--90	-5	2.26251705016845	-1.853907490	0.4028086460	2.760240593e-16
--90	-10	2.32205417657879	-1.886776956	0.1967795238	2.800494080e-16
--90	-15	2.37782515501177	-1.896802728	-0.01542643604	2.812772109e-16
--90	-20	2.42915271615398	-1.882656882	-0.2308191601	2.795448444e-16
--90	-25	2.47540576585471	-1.843479522	-0.4461516819	2.747470015e-16
--90	-30	2.51600384653883	-1.778923247	-0.6580019233	2.668411380e-16
--90	-35	2.55042375266283	-1.689184831	-0.8628629672	2.558513516e-16
--90	-40	2.57819900965373	-1.575015025	-1.057234379	2.418695828e-16
--90	-45	2.59894183102243	-1.437729393	-1.237729393	2.250569418e-16
-
--85	45	1.61858927901529	-0.7423316150	1.742331615	0.09994106630
--85	40	1.67676995815122	-0.8816052356	1.675394480	0.1121259292
--85	35	1.73771455208029	-1.019810959	1.594162336	0.1242173633
--85	30	1.80099567208534	-1.155250280	1.497924168	0.1360667685
--85	25	1.86610576228187	-1.285974487	1.386182815	0.1475036546
--85	20	1.93246627082131	-1.409818415	1.258720033	0.1583385944
--85	15	1.99943363604850	-1.524445073	1.115653503	0.1683671275
--85	10	2.06632308124082	-1.627419669	0.9574887888	0.1773762372
--85	5	2.13241180594968	-1.716274799	0.7851500538	0.1851500538
--85	-2.84217e-14	2.19696301335206	-1.788602906	0.6000000000	0.1914779432
--85	-5	2.25924577831613	-1.842148957	0.4038373844	0.1961626156
--85	-10	2.31854539913691	-1.874893306	0.1988749320	0.1990273750
--85	-15	2.37416538883663	-1.885122548	-0.01229674143	0.1999223177
--85	-20	2.42543914330383	-1.871503774	-0.2267597606	0.1987308293
--85	-25	2.47173947541886	-1.833147648	-0.4413338499	0.1953751032
--85	-30	2.51248402594472	-1.769656233	-0.6526516101	0.1898203241
--85	-35	2.54714152772978	-1.681158526	-0.8572428881	0.1820777780
--85	-40	2.57523363347546	-1.568327791	-1.051623123	0.1722063678
--85	-45	2.59635329554735	-1.432395958	-1.232395958	0.1603138735
-
--80	45	1.61841940063980	-0.7356025607	1.735602561	0.2002373708
--80	40	1.67611989982868	-0.8724270451	1.667693064	0.2243632190
--80	35	1.73641425452939	-1.007778194	1.585736904	0.2482292785
--80	30	1.79887611031947	-1.140020471	1.489131233	0.2715471598
--80	25	1.86301496777139	-1.267309217	1.377479057	0.2939916002
--80	20	1.92827877344088	-1.387616670	1.250639258	0.3152050501
--80	15	1.99406911582024	-1.498779379	1.108776401	0.3348060350
--80	10	2.05975404450823	-1.598553654	0.9523989317	0.3523989317
--80	5	2.12467092447190	-1.684668976	0.7823849026	0.3675833863
--80	-2.84217e-14	2.18814882495910	-1.754905928	0.6000000000	0.3799680559
--80	-5	2.24951274916086	-1.807160358	0.4068984901	0.3891819219
--80	-10	2.30810014771510	-1.839520780	0.2051120626	0.3948879374
--80	-15	2.36325998777891	-1.850327883	-0.002973539045	0.3967935213
--80	-20	2.41435709167199	-1.838237046	-0.2146516619	0.3946615804
--80	-25	2.46077847457346	-1.802278942	-0.4269395361	0.3883211965
--80	-30	2.50193862436822	-1.741913318	-0.6366342307	0.3776771083
--80	-35	2.53728548096555	-1.657075473	-0.8403797526	0.3627179072
--80	-40	2.56630677314225	-1.548212741	-1.034744592	0.3435224704
--80	-45	2.58854103294485	-1.416311535	-1.216311535	0.3202647290
-
--75	45	1.61814331018596	-0.7241995479	1.724199548	0.3012283610
--75	40	1.67504054933300	-0.8569497334	1.654706058	0.3367986660
--75	35	1.73425426823584	-0.9875866475	1.571598630	0.3718027216
--75	30	1.79536292577561	-1.114586159	1.474446727	0.4058321382
--75	25	1.85790553057203	-1.236276936	1.363008466	0.4384390836
--75	20	1.92137797101537	-1.350856992	1.237259829	0.4691407170
--75	15	1.98525243142957	-1.456435608	1.097430422	0.4974304220
--75	10	2.04897644495659	-1.551062875	0.9440250259	0.5227857218
--75	5	2.11198646655539	-1.632776621	0.7778449098	0.5446808540
--75	-2.84217e-14	2.17370565577693	-1.699638432	0.6000000000	0.5625964222
--75	-5	2.23355672221675	-1.749787396	0.4119179739	0.5760337967
--75	-10	2.29095686569620	-1.781479880	0.2153462393	0.5845257721
--75	-15	2.34532584179684	-1.793144981	0.01234857355	0.5876514265
--75	-20	2.39608092885610	-1.783430387	-0.1947036694	0.5850484089
--75	-25	2.44263764747289	-1.751256660	-0.4031474550	0.5764274846
--75	-30	2.48441309746751	-1.695875790	-0.6100544517	0.5615882254
--75	-35	2.52083254850763	-1.616932378	-0.8122712550	0.5404354018
--75	-40	2.55133108424869	-1.514517787	-1.006471169	0.5129934950
--75	-45	2.57536887998873	-1.389228749	-1.189228749	0.4794223983
-
--70	45	1.61776947772419	-0.7078341059	1.707834106	0.4032186390
--70	40	1.67353721216239	-0.8349020590	1.636205862	0.4494675917
--70	35	1.73124701931746	-0.9590368485	1.551607846	0.4946489601
--70	30	1.79049047832667	-1.078881995	1.453832918	0.5382690263
--70	25	1.85084940176328	-1.193006410	1.342831088	0.5798069162
--70	20	1.91188805601583	-1.299910318	1.218716757	0.6187167566
--70	15	1.97316910025423	-1.398051694	1.081786499	0.6544372961
--70	10	2.03424619350730	-1.485854088	0.9325269573	0.6863947541
--70	5	2.09467534791887	-1.561732567	0.7716293605	0.7140122621
--70	-2.84217e-14	2.15400334914439	-1.624101052	0.6000000000	0.7367125342
--70	-5	2.21176946549890	-1.671395071	0.4187764136	0.7539261494
--70	-10	2.26750380467076	-1.702096262	0.2293437130	0.7651004688
--70	-15	2.32071741659216	-1.714755335	0.03335301585	0.7697079946
--70	-20	2.37090049516274	-1.708030437	-0.1672603320	0.7672603320
--70	-25	2.41751523498760	-1.680729670	-0.3702601798	0.7573236655
--70	-30	2.45999987310106	-1.631873146	-0.5731025078	0.7395413449
--70	-35	2.49775951028475	-1.560752669	-0.7729337991	0.7136556081
--70	-40	2.53017563797718	-1.467015016	-0.9666116114	0.6795378928
--70	-45	2.55661960889354	-1.350750300	-1.150750300	0.6372209968
-
--65	45	1.61731541879742	-0.6860967419	1.686096742	0.5064552283
--65	40	1.67162292401815	-0.8059092265	1.611877987	0.5623247074
--65	35	1.72741422790781	-0.9218630182	1.525578450	0.6163948484
--65	30	1.78430995513868	-1.032833543	1.427246832	0.6681412538
--65	25	1.84194887216010	-1.137690470	1.317036842	0.7170368421
--65	20	1.89998306191376	-1.235295229	1.195198788	0.7625506886
--65	15	1.95807792887839	-1.324499820	1.062078334	0.8041474728
--65	10	2.01591240995214	-1.404145109	0.9181194598	0.8412866808
--65	5	2.07317196870968	-1.473053027	0.7638709060	0.8734189704
--65	-2.84217e-14	2.12953917738045	-1.530017939	0.6000000000	0.8999821455
--65	-5	2.18468993275338	-1.573806395	0.4273143164	0.9204010379
--65	-10	2.23827852612568	-1.603152139	0.2467902315	0.9340851828
--65	-15	2.28993036790899	-1.616765753	0.05960924522	0.9404333152
--65	-20	2.33923078057729	-1.613351072	-0.1327998614	0.9388410236
--65	-25	2.38571336128058	-1.591634380	-0.3287143636	0.9287143636
--65	-30	2.42885377759558	-1.550414026	-0.5260720627	0.9094929967
--65	-35	2.46806288270200	-1.488626942	-0.7224308218	0.8806812066
--65	-40	2.50268442127542	-1.405437214	-0.9149417003	0.8418891992
--65	-45	2.53200360416813	-1.300349130	-1.100349130	0.7928858208
-
--60	45	1.61680989782411	-0.6584505344	1.658450534	0.6110967010
--60	40	1.66932116290174	-0.7694979213	1.581325274	0.6752099397
--60	35	1.72279361528901	-0.8757501039	1.493289840	0.7365546659
--60	30	1.77689799805474	-0.9763792709	1.394652943	0.7946529425
--60	25	1.83134534328292	-1.070603820	1.285753823	0.8490535113
--60	20	1.88588581334072	-1.157675178	1.166947399	0.8993241834
--60	15	1.94030292767568	-1.236858997	1.038595046	0.9450409828
--60	10	1.99440003863962	-1.307408792	0.9010622371	0.9857729256
--60	5	2.04800078147804	-1.368551607	0.7547282164	1.021073746
--60	-2.84217e-14	2.10092225303199	-1.419452043	0.6000000000	1.050461127
--60	-5	2.15297530188825	-1.459202381	0.4373408685	1.073410995
--60	-10	2.20394948391251	-1.486804379	0.2673054807	1.089347016
--60	-15	2.25359660512338	-1.501156684	0.09058660189	1.097633323
--60	-20	2.30161663832770	-1.501054179	-0.09192713496	1.097574142
--60	-25	2.34763928788829	-1.485197304	-0.2790819402	1.088419171
--60	-30	2.39121112500968	-1.452224173	-0.4693821248	1.069382125
--60	-35	2.43178234559377	-1.400765079	-0.6609092825	1.039672203
--60	-40	2.46869409700689	-1.329524958	-0.8512437547	0.9985417003
--60	-45	2.50117592252576	-1.237403999	-1.037403999	0.9453556395
-
--55	45	1.61629755121710	-0.6242271896	1.624227190	0.7171715990
--55	40	1.66667305479767	-0.7251090448	1.544078584	0.7878098345
--55	35	1.71744737340574	-0.8203576073	1.454503596	0.8545035959
--55	30	1.76836064748120	-0.9094930581	1.356036170	0.9169169105
--55	25	1.81921638659003	-0.9921124561	1.249152699	0.9747676358
--55	20	1.86987008807648	-1.067856593	1.134256108	1.027804251
--55	15	1.92022202507066	-1.136380501	1.011671915	1.075785209
--55	10	1.97020064666261	-1.197317865	0.8816502363	1.118454010
--55	5	2.01975259974535	-1.250251978	0.7443783400	1.155518875
--55	-2.84217e-14	2.06882613413063	-1.294683157	0.6000000000	1.186629921
--55	-5	2.11736112301288	-1.330003655	0.4486442923	1.211361601
--55	-10	2.16527716683892	-1.355473944	0.2904625797	1.229196089
--55	-15	2.21245413938462	-1.370197069	0.1256771250	1.239505332
--55	-20	2.25871712049863	-1.373103297	-0.04535682222	1.241540294
--55	-25	2.30381767980989	-1.362942172	-0.2220734359	1.234425399
--55	-30	2.34741115038847	-1.338287159	-0.4036005591	1.217161772
--55	-35	2.38903334250666	-1.297562941	-0.5886463676	1.188646368
--55	-40	2.42807496617587	-1.239103181	-0.7753708746	1.147712403
--55	-45	2.46376258101707	-1.161254994	-0.9612549943	1.093202516
-
--50	45	1.61584776117642	-0.5826299908	1.582629991	0.8245244628
--50	40	1.66374352209459	-0.6721171202	1.499613080	0.8996130801
--50	35	1.71146537995184	-0.7553466790	1.408982454	0.9694509722
--50	30	1.75884169955808	-0.8322144817	1.311419363	1.033950717
--50	25	1.80577999286882	-0.9026901720	1.207454403	1.093086843
--50	20	1.85224701315187	-0.9667719091	1.097464292	1.146857805
--50	15	1.89825319579372	-1.024448411	0.9816798013	1.195254136
--50	10	1.94383704005728	-1.075664612	0.8601994855	1.238229631
--50	5	1.98905476130740	-1.120293815	0.7330084740	1.275677979
--50	-2.84217e-14	2.03396809254102	-1.158109955	0.6000000000	1.307409488
--50	-5	2.07862873991057	-1.188757875	0.4610016968	1.333126147
--50	-10	2.12307280359046	-1.211731508	0.3158082495	1.352403314
--50	-15	2.16730362257502	-1.226343739	0.1642225084	1.364664432
--50	-20	2.21127737767004	-1.231700190	0.006109699647	1.369159027
--50	-25	2.25488250682339	-1.226672846	-0.1585300055	1.364940585
--50	-30	2.29791345726638	-1.209878956	-0.3294640489	1.350848839
--50	-35	2.34003961149513	-1.179673785	-0.5060994918	1.325503690
--50	-40	2.38076759496348	-1.134167775	-0.6873196143	1.287319614
--50	-45	2.41940329395345	-1.071288505	-0.8712885047	1.234557642
-
--45	45	1.61556226658466	-0.5327453095	1.532745310	0.9327453095
--45	40	1.66063583595222	-0.6098665328	1.447378635	1.009866533
--45	35	1.70497573570273	-0.6804214266	1.356519227	1.080421427
--45	30	1.74852260200100	-0.7446767397	1.260879424	1.144676740
--45	25	1.79129362014386	-0.8029305738	1.160935739	1.202930574
--45	20	1.83336166568924	-0.8554697128	1.056953605	1.255469713
--45	15	1.87483557606993	-0.9025356244	0.9490133687	1.302535624
--45	10	1.91584695512168	-0.9442996959	0.8370363065	1.344299696
--45	5	1.95653963176089	-0.9808426303	0.7208080763	1.380842630
--45	-2.84217e-14	1.99706246175111	-1.012136409	0.6000000000	1.412136409
--45	-5	2.03755894459176	-1.038022623	0.4741893226	1.438022623
--45	-10	2.07816268369499	-1.058192397	0.3428813373	1.458192397
--45	-15	2.11898570375467	-1.072158093	0.2055364278	1.472158093
--45	-20	2.16010799349570	-1.079222683	0.06160697349	1.479222683
--45	-25	2.20155875377918	-1.078441225	-0.08940846554	1.478441225
--45	-30	2.24329137907486	-1.068578936	-0.2478844439	1.468578936
--45	-35	2.28515188556691	-1.048071670	-0.4139506989	1.448071670
--45	-40	2.32683028548632	-1.014992970	-0.5873200789	1.414992970
--45	-45	2.36780077389597	-0.9670504142	-0.7670504142	1.367050414
-
-
-### -y patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = 90 + dsigma = 90 + dphi
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--45	-90	2.59894184123571	-1.437729400	-1.237729400	2.250569427e-16
--40	-90	2.61234701688614	-1.279184295	-1.401173916	2.450731231e-16
--35	-90	2.61820723435607	-1.101741975	-1.544709808	2.626512002e-16
--30	-90	2.61642716302921	-0.9082135815	-1.665892390	2.774917863e-16
--25	-90	2.60702606300246	-0.7017768231	-1.762768022	2.893556295e-16
--20	-90	2.59013511043930	-0.4858783817	-1.833930850	2.980705625e-16
--15	-90	2.56600453986324	-0.2641308447	-1.878570055	3.035372885e-16
--10	-90	2.53497984559546	-0.04019463061	-1.896467806	3.057291307e-16
--5	-90	2.49749069773218	0.1823293432	-1.887986992	3.046905306e-16
--2.84217e-14	-90	2.45404604800721	0.4000000000	-1.854046048	3.005339638e-16
-5	-90	2.40521878890097	0.6096286300	-1.796066205	2.934334809e-16
-10	-90	2.35163414636902	0.8083569841	-1.715907540	2.836168755e-16
-15	-90	2.29395607173564	0.9937195200	-1.615791414	2.713561863e-16
-20	-90	2.23287923219811	1.163689675	-1.498220138	2.569578575e-16
-25	-90	2.16912691816512	1.316712648	-1.365896617	2.407528999e-16
-30	-90	2.10344068935238	1.451720345	-1.221633072	2.230857111e-16
-35	-90	2.03655811716862	1.568121747	-1.068250745	2.043017935e-16
-40	-90	1.96921632857131	1.665787857	-0.9085072258	1.847388546e-16
-45	-90	1.90213490278970	1.745012488	-0.7450124885	1.647165239e-16
-
--45	-85	2.59635331139603	-1.432395970	-1.232395970	0.1603138744
--40	-85	2.60926406619282	-1.273448502	-1.394338264	0.1744819894
--35	-85	2.61466059999611	-1.095871165	-1.536325422	0.1869042561
--30	-85	2.61247410158357	-0.9025037596	-1.656002689	0.1973746601
--25	-85	2.60274500645934	-0.6965259506	-1.751507490	0.2057302475
--20	-85	2.58562118498538	-0.4813610343	-1.821519540	0.2118555083
--15	-85	2.56136537517781	-0.2605755775	-1.865301618	0.2156859437
--10	-85	2.53032924023630	-0.03776519922	-1.882689816	0.2172072139
--5	-85	2.49294270589804	0.1835462761	-1.874077385	0.2164537239
--2.84217e-14	-85	2.44970675109414	0.4000000000	-1.840384877	0.2135060114
-5	-85	2.40118073703155	0.6084863446	-1.783009824	0.2084863446
-10	-85	2.34797185794800	0.8062160575	-1.703765742	0.2015533858
-15	-85	2.29072306365475	0.9907769838	-1.604809719	0.1928958557
-20	-85	2.23010727318116	1.160176960	-1.488569033	0.1827261134
-25	-85	2.16682549090758	1.312874821	-1.357666371	0.1712736144
-30	-85	2.10159718868339	1.447795359	-1.214834798	0.1587774710
-35	-85	2.03514063644800	1.564322511	-1.062824873	0.1454783258
-40	-85	1.96817793927548	1.662288653	-0.9043370376	0.1316124369
-45	-85	1.90141766027113	1.741939882	-0.7419398824	0.1174045268
-
--45	-80	2.58854106426170	-1.416311557	-1.216311557	0.3202647328
--40	-80	2.59998382584200	-1.256196969	-1.373778688	0.3480304366
--35	-80	2.60401188377333	-1.078259353	-1.511173148	0.3722567870
--30	-80	2.60063097835212	-0.8854149410	-1.626403987	0.3925750928
--25	-80	2.58994260596299	-0.6808427031	-1.717874657	0.4087038399
--20	-80	2.57214811312277	-0.4678934621	-1.784517690	0.4204548046
--15	-80	2.54754002055384	-0.2499916344	-1.825801804	0.4277343079
--10	-80	2.51648586800163	-0.03054020640	-1.841714845	0.4305402064
--5	-80	2.47941310178084	0.1871635029	-1.832732294	0.4289563402
--2.84217e-14	-80	2.43679982549560	0.4000000000	-1.799779361	0.4231458490
-5	-80	2.38916601140505	0.6050895530	-1.744184318	0.4133429430
-10	-80	2.33706711268853	0.7998438338	-1.667627065	0.3998438338
-15	-80	2.28108724773432	0.9820075903	-1.572081897	0.3829966428
-20	-80	2.22183397926025	1.149690570	-1.459757912	0.3631908936
-25	-80	2.15994414377710	1.301394441	-1.333046616	0.3408482734
-30	-80	2.09607323469451	1.436026978	-1.194451364	0.3164101910
-35	-80	2.03088310843939	1.552902553	-1.046515483	0.2903251039
-40	-80	1.96505110326009	1.651743049	-0.8917692756	0.2630391723
-45	-80	1.89925172602482	1.732655258	-0.7326552577	0.2349830779
-
--45	-75	2.57536892393365	-1.389228779	-1.189228779	0.4794224065
--40	-75	2.58441712253089	-1.227304125	-1.339345537	0.5196460704
--35	-75	2.58623826734217	-1.048914156	-1.469263863	0.5544575811
--30	-75	2.58094931488232	-0.8570732344	-1.577314711	0.5834097184
--25	-75	2.56875288570168	-0.6549407205	-1.662327676	0.6061888738
--20	-75	2.54992565641456	-0.4457290618	-1.723621500	0.6226125045
--15	-75	2.52480265716259	-0.2326216411	-1.760976107	0.6326216411
--10	-75	2.49376767462247	-0.01870588169	-1.774599055	0.6362718990
--5	-75	2.45723742271986	0.1930824015	-1.765078974	0.6337210010
--2.84217e-14	-75	2.41565184999555	0.4000000000	-1.733340509	0.6252167051
-5	-75	2.36946878769132	0.5995268291	-1.680602093	0.6110854890
-10	-75	2.31916768103902	0.7893903825	-1.608342597	0.5917236155
-15	-75	2.26523833620735	0.9675844762	-1.518254103	0.5675844762
-20	-75	2.20818885395350	1.132385857	-1.412213605	0.5391710105
-25	-75	2.14855563924473	1.282373251	-1.292255543	0.5070283446
-30	-75	2.08689348892072	1.416439158	-1.160524264	0.4717310548
-35	-75	2.02377612354782	1.533800358	-1.019234721	0.4338726359
-40	-75	1.95980783082842	1.634012629	-0.8706389833	0.3940565279
-45	-75	1.89560353640986	1.716964094	-0.7169640941	0.3528794655
-
--45	-70	2.55661972041193	-1.350750376	-1.150750376	0.6372210246
--40	-70	2.56243077492519	-1.186583060	-1.290816061	0.6882007648
--35	-70	2.56131502600104	-1.007868113	-1.410644040	0.7318145822
--30	-70	2.55353636864847	-0.8177073464	-1.509130993	0.7676609015
--25	-70	2.53941810211378	-0.6191854134	-1.585650172	0.7955116053
--20	-70	2.51931507415637	-0.4152896017	-1.639989771	0.8152896017
--15	-70	2.49360925389182	-0.2088617913	-1.672303140	0.8270507062
--10	-70	2.46269325184500	-0.002562824747	-1.683047229	0.8309612349
--5	-70	2.42695907043719	0.2011446339	-1.672927236	0.8272778584
--2.84217e-14	-70	2.38679308344985	0.4000000000	-1.642851848	0.8163313125
-5	-70	2.34257545997020	0.5919413090	-1.593899200	0.7985140060
-10	-70	2.29468313279818	0.7750991412	-1.527292940	0.7742713098
-15	-70	2.24349241862753	0.9477910425	-1.444384003	0.7440949243
-20	-70	2.18939245026995	1.108521501	-1.346646826	0.7085215013
-25	-70	2.13278987615286	1.255986783	-1.235669580	0.6681290870
-30	-70	2.07411034688226	1.389082998	-1.113142005	0.6235326970
-35	-70	2.01381497294351	1.506925879	-0.9808539877	0.5753837963
-40	-70	1.95240629377004	1.608873536	-0.8406793794	0.5243644112
-45	-70	1.89041631613435	1.694540228	-0.6945402285	0.4711741102
-
--45	-65	2.53200366498430	-1.300349171	-1.100349171	0.7928858398
--40	-65	2.53386326452337	-1.133815087	-1.227929640	0.8523775896
--35	-65	2.52924516975086	-0.9552133505	-1.335445245	0.9025129398
--30	-65	2.51857965680144	-0.7676710288	-1.422465548	0.9430911736
--25	-65	2.50230053514755	-0.5740996076	-1.488963350	0.9740996076
--20	-65	2.48083887299727	-0.3771607648	-1.535231652	0.9956748715
--15	-65	2.45460658541891	-0.1792519825	-1.561797829	1.008062883
--10	-65	2.42398611609243	0.01748479244	-1.569351542	1.011585237
--5	-65	2.38932817196578	0.2111389802	-1.558691335	1.006614301
--2.84217e-14	-65	2.35095091543867	0.4000000000	-1.530685122	0.9935547893
-5	-65	2.30914351421315	0.5825229385	-1.486246734	0.9728328287
-10	-65	2.26417336318950	0.7572960828	-1.426326778	0.9448916947
-15	-65	2.21629439062822	0.9230137193	-1.351913773	0.9101923406
-20	-65	2.16576146671170	1.078457943	-1.264047877	0.8692198004
-25	-65	2.11283759421470	1.222488843	-1.163833015	0.8224888428
-30	-65	2.05780891126506	1.354047192	-1.052458209	0.7705539175
-35	-65	2.00100271084572	1.472171896	-0.9312201556	0.7140196849
-40	-65	1.94279569204641	1.576026104	-0.8015333342	0.6535457269
-45	-65	1.88361594516363	1.664928979	-0.6649289788	0.5898460698
-
--45	-60	2.50117598097370	-1.237404037	-1.037404037	0.9453556616
--40	-60	2.49855150024165	-1.068795694	-1.150442546	1.010618475
--35	-60	2.49008853228810	-0.8911417629	-1.243941535	1.064600142
--30	-60	2.47635909151671	-0.7074614531	-1.318179504	1.107461453
--25	-60	2.45789741976135	-0.5203684926	-1.373736602	1.139537358
--20	-60	2.43517454155819	-0.3320781904	-1.411368298	1.161264028
--15	-60	2.40860261096954	-0.1444516725	-1.431921304	1.173130312
--10	-60	2.37853184656568	0.04095161207	-1.436264595	1.175637912
--5	-60	2.34525341414664	0.2228140921	-1.425244195	1.169275281
--2.84217e-14	-60	2.30900513393545	0.4000000000	-1.399657103	1.154502567
-5	-60	2.26997959172313	0.5714989060	-1.360241466	1.131745938
-10	-60	2.22833340615389	0.7363753647	-1.307679490	1.101399267
-15	-60	2.18420032701314	0.8937267425	-1.242613288	1.063833278
-20	-60	2.13769994321149	1.042649420	-1.165664769	1.019407030
-25	-60	2.08895744820061	1.182217599	-1.077471054	0.9684883645
-30	-60	2.03811677515936	1.311473531	-0.9787184656	0.9114735311
-35	-60	1.98536319771320	1.429435422	-0.8701861460	0.8488123672
-40	-60	1.93092628617672	1.535112170	-0.7527740066	0.7810244369
-45	-60	1.87511358227490	1.627549990	-0.6275499896	0.7087263170
-
--45	-55	2.46376246218477	-1.161254919	-0.9612549190	1.093202463
--40	-55	2.45636466256620	-0.9913954311	-1.058200504	1.161084493
--35	-55	2.44397762561219	-0.8159835007	-1.136604413	1.215983501
--30	-55	2.42727621144600	-0.6377456725	-1.197428230	1.258572796
--25	-55	2.40683589075226	-0.4588335213	-1.241774430	1.289624340
--20	-55	2.38313017110203	-0.2809039079	-1.270768112	1.309925934
--15	-55	2.35653524914505	-0.1052120876	-1.285477179	1.320225334
--10	-55	2.32734069545364	0.06729477125	-1.286865115	1.321197177
--5	-55	2.29576082266315	0.2358917143	-1.275766288	1.313425695
--2.84217e-14	-55	2.26194581266058	0.4000000000	-1.252877537	1.297398818
-5	-55	2.22599332725111	0.5591210832	-1.218762303	1.273511075
-10	-55	2.18795557512971	0.7127794145	-1.173860207	1.242070289
-15	-55	2.14785466866196	0.8604735454	-1.118510667	1.203314123
-20	-55	2.10569742808895	1.001636295	-1.052982136	1.157430552
-25	-55	2.06148187794471	1.135600523	-0.9775004125	1.104577680
-30	-55	2.01522050009858	1.261577411	-0.8922958499	1.044916803
-35	-55	1.96695182090540	1.378642740	-0.7976466790	0.9786427404
-40	-55	1.91676298714979	1.485740771	-0.6939354646	0.9060233663
-45	-55	1.86481896841500	1.581712049	-0.5817120490	0.8274436847
-
--45	-50	2.41940313041112	-1.071288405	-0.8712884053	1.234557558
--40	-50	2.40724577831399	-0.9016367971	-0.9512303292	1.301636797
--35	-50	2.39115796380041	-0.7302623236	-1.014181885	1.354459424
--30	-50	2.37184473462643	-0.5593679010	-1.061673948	1.394309997
--25	-50	2.34985937748476	-0.3904796996	-1.095189186	1.422432621
--20	-50	2.32562006072251	-0.2245997044	-1.116073584	1.439956711
--15	-50	2.29942933635174	-0.06234387182	-1.125490820	1.447858711
--10	-50	2.27149186005411	0.09594106854	-1.124403890	1.446946668
--5	-50	2.24193206936336	0.2500815718	-1.113575475	1.437860549
--2.84217e-14	-50	2.21081260943645	0.4000000000	-1.093580714	1.421082953
-5	-50	2.17814175131871	0.5456527574	-1.064818635	1.396948702
-10	-50	2.14388365512493	0.6869774639	-1.027530074	1.365659885
-15	-50	2.10797093584947	0.8238475298	-0.9818205159	1.327305011
-20	-50	2.07031478443349	0.9560314964	-0.9276839807	1.281879065
-25	-50	2.03081372868980	1.083154508	-0.8650295695	1.229305771
-30	-50	1.98936358819243	1.204661259	-0.7937141833	1.169465057
-35	-50	1.94587557139857	1.319784422	-0.7135882884	1.102231448
-40	-50	1.90030220136429	1.427524191	-0.6245556461	1.027524191
-45	-50	1.85264987644196	1.526634188	-0.5266341884	0.9453583319
-
--45	-45	2.36780064480585	-0.9670503397	-0.7670503397	1.367050340
--40	-45	2.35125928310199	-0.7997855516	-0.8298487414	1.429848741
--35	-45	2.33201609584795	-0.6347449398	-0.8777689232	1.477768923
--30	-45	2.31071647604195	-0.4733687351	-0.9127190230	1.512719023
--25	-45	2.28781845711032	-0.3164203132	-0.9363683197	1.536368320
--20	-45	2.26363189736417	-0.1641956938	-0.9501149289	1.550114929
--15	-45	2.23835107063425	-0.01668424550	-0.9550867749	1.555086775
--10	-45	2.21207952366980	0.1263126062	-0.9521583407	1.552158341
--5	-45	2.18484959414901	0.2650947458	-0.9419741116	1.541974112
--2.84217e-14	-45	2.15663991271126	0.4000000000	-0.9249747069	1.524974707
-5	-45	2.12738471690751	0.5313570402	-0.9014178402	1.501417840
-10	-45	2.09697967989888	0.6594467773	-0.8713957910	1.471395791
-15	-45	2.06529219068318	0.7844681603	-0.8348547081	1.434854708
-20	-45	2.03216369209095	0.9065037321	-0.7916075669	1.391607567
-25	-45	1.99741641774621	1.025482189	-0.7413508821	1.341350882
-30	-45	1.96086129924802	1.141135908	-0.6836850473	1.283685047
-35	-45	1.92230952684000	1.252952970	-0.6181430843	1.218143084
-40	-45	1.88158570675291	1.360123522	-0.5442306572	1.144230657
-45	-45	1.83855661111634	1.461491154	-0.4614911543	1.061491154
-
-
diff --git a/test/recover2/h.t2.ah2.gp b/test/recover2/h.t2.ah2.gp
deleted file mode 100644
index 8202058..0000000
--- a/test/recover2/h.t2.ah2.gp
+++ /dev/null
@@ -1,1228 +0,0 @@
-# N_patches = 5
-# origin = 0 0 0
-
-### +z patch
-# N_rho = 19
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = dsigma = dnu
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--45	-45	1.86338407450618	-1.075825297	-1.075825297	1.075825297
--40	-45	1.85977403351066	-0.9489936013	-1.130966534	1.130966534
--35	-45	1.85663472569950	-0.8238122330	-1.176525799	1.176525799
--30	-45	1.85396392723581	-0.7007324987	-1.213704290	1.213704290
--25	-45	1.85174826198128	-0.5798668446	-1.243528461	1.243528461
--20	-45	1.84996698710866	-0.4610923751	-1.266840889	1.266840889
--15	-45	1.84860052917144	-0.3441295366	-1.284308915	1.284308915
--10	-45	1.84763131910966	-0.2285963931	-1.296434568	1.296434568
--5	-45	1.84704675609212	-0.1140473527	-1.303567206	1.303567206
-0	-45	1.84683872919875	0.000000000	-1.305912189	1.305912189
-5	-45	1.84700629821872	0.1140448546	-1.303538652	1.303538652
-10	-45	1.84755321643850	0.2285867300	-1.296379766	1.296379766
-15	-45	1.84849073562048	0.3441090978	-1.284232636	1.284232636
-20	-45	1.84983467368504	0.4610593968	-1.266750282	1.266750282
-25	-45	1.85160534554668	0.5798220910	-1.243432487	1.243432487
-30	-45	1.85382660879841	0.7006805972	-1.213614394	1.213614394
-35	-45	1.85652069429419	0.8237616359	-1.176453538	1.176453538
-40	-45	1.85970549083907	0.9489586257	-1.130924851	1.130924851
-45	-45	1.86338407335912	1.075825296	-1.075825296	1.075825296
-
--45	-40	1.85970549135094	-1.130924852	-0.9489586260	1.130924852
--40	-40	1.85522820909427	-1.003151953	-1.003151953	1.195509944
--35	-40	1.85125402687834	-0.8750583231	-1.048633549	1.249712800
--30	-40	1.84781428546337	-0.7474071497	-1.086254042	1.294547157
--25	-40	1.84491955011765	-0.6206207340	-1.116779062	1.330925459
--20	-40	1.84256667244733	-0.4948644099	-1.140864018	1.359628792
--15	-40	1.84074754303340	-0.3701171994	-1.159045126	1.381296193
--10	-40	1.83945194977038	-0.2462266338	-1.171736037	1.396420632
--5	-40	1.83867180023273	-0.1229523365	-1.179230040	1.405351637
-0	-40	1.83840133063409	0.000000000	-1.181701597	1.408297124
-5	-40	1.83864054564745	0.1229502465	-1.179209995	1.405327748
-10	-40	1.83939249287280	0.2462186749	-1.171698163	1.396375495
-15	-40	1.84066587241123	0.3701007779	-1.158993701	1.381234907
-20	-40	1.84247239846176	0.4948390904	-1.140805646	1.359559227
-25	-40	1.84482387945157	0.6205885510	-1.116721150	1.330856442
-30	-40	1.84773297194859	0.7473742598	-1.086206241	1.294490190
-35	-40	1.85120405350914	0.8750347015	-1.048605242	1.249679065
-40	-40	1.85522820858527	1.003151953	-1.003151953	1.195509944
-45	-40	1.85977403303049	1.130966533	-0.9489936010	1.130966533
-
--45	-35	1.85652069461174	-1.176453539	-0.8237616360	1.176453539
--40	-35	1.85120405387108	-1.048605243	-0.8750347016	1.249679065
--35	-35	1.84639895972297	-0.9186625308	-0.9186625308	1.311986062
--30	-35	1.84217405979529	-0.7875939910	-0.9551900795	1.364152808
--25	-35	1.83856984415558	-0.6560586118	-0.9851375534	1.406922233
--20	-35	1.83560889596082	-0.5244670584	-1.008972035	1.440961400
--15	-35	1.83330095588091	-0.3930371096	-1.027088548	1.466834462
--10	-35	1.83164919220337	-0.2618435989	-1.039800381	1.484988842
--5	-35	1.83065383886020	-0.1308609591	-1.047333750	1.495747607
-0	-35	1.83031402001850	0.000000000	-1.049824993	1.499305471
-5	-35	1.83063131355476	0.1308593489	-1.047320863	1.495729203
-10	-35	1.83160722942770	0.2618376001	-1.039776560	1.484954821
-15	-35	1.83324516624011	0.3930251490	-1.027057292	1.466789825
-20	-35	1.83554848161164	0.5244497969	-1.008938827	1.440913975
-25	-35	1.83851541807370	0.6560391909	-0.9851083910	1.406880585
-30	-35	1.84213914443857	0.7875790634	-0.9551719755	1.364126953
-35	-35	1.84639895941448	0.9186625306	-0.9186625306	1.311986062
-40	-35	1.85125402654052	1.048633549	-0.8750583229	1.249712800
-45	-35	1.85663472542617	1.176525798	-0.8238122329	1.176525798
-
--45	-30	1.85382660903264	-1.213614394	-0.7006805973	1.213614394
--40	-30	1.84773297221160	-1.086206241	-0.7473742599	1.294490190
--35	-30	1.84213914468657	-0.9551719756	-0.7875790636	1.364126953
--30	-30	1.83715094732438	-0.8215988806	-0.8215988806	1.423051005
--25	-30	1.83284419250499	-0.6863150728	-0.8497484120	1.471807423
--20	-30	1.82927108217541	-0.5499275066	-0.8723262620	1.510913407
--15	-30	1.82646404870490	-0.4128623798	-0.8895947921	1.540823378
--10	-30	1.82444466180780	-0.2754068295	-0.9017690118	1.561909745
--5	-30	1.82322534748712	-0.1377462395	-0.9090072389	1.574446722
-0	-30	1.82281260812737	0.000000000	-0.9114063041	1.578602025
-5	-30	1.82321026300631	0.1377450999	-0.9089997182	1.574433696
-10	-30	1.82441740570945	0.2754027151	-0.9017555399	1.561886411
-15	-30	1.82642967024741	0.4128546088	-0.8895780478	1.540794376
-20	-30	1.82923786821977	0.5499175216	-0.8723104232	1.510885973
-25	-30	1.83282210743817	0.6863068030	-0.8497381729	1.471789689
-30	-30	1.83715094712051	0.8215988805	-0.8215988805	1.423051005
-35	-30	1.84217405956599	0.9551900794	-0.7875939909	1.364152808
-40	-30	1.84781428523827	1.086254042	-0.7474071496	1.294547157
-45	-30	1.85396392705374	1.213704290	-0.7007324987	1.213704290
-
--45	-25	1.85160534573084	-1.243432487	-0.5798220911	1.243432487
--40	-25	1.84482387965214	-1.116721150	-0.6205885510	1.330856442
--35	-25	1.83851541826858	-0.9851083911	-0.6560391910	1.406880585
--30	-25	1.83282210760753	-0.8497381729	-0.6863068030	1.471789689
--25	-25	1.82785503209129	-0.7115503692	-0.7115503692	1.525924691
--20	-25	1.82369701368237	-0.5713010149	-0.7319335848	1.569636638
--15	-25	1.82040820692898	-0.4295902525	-0.7476089881	1.603252649
--10	-25	1.81803094087622	-0.2868929315	-0.7587061860	1.627050666
--5	-25	1.81659208103455	-0.1435899166	-0.7653229008	1.641240257
-0	-25	1.81610727983723	0.000000000	-0.7675201017	1.645952170
-5	-25	1.81658313738405	0.1435892097	-0.7653191329	1.641232177
-10	-25	1.81801558160294	0.2868905077	-0.7586997762	1.627036921
-15	-25	1.82039047003080	0.4295860668	-0.7476017038	1.603237028
-20	-25	1.82368380477457	0.5712968770	-0.7319282835	1.569625269
-25	-25	1.82785503195632	0.7115503691	-0.7115503691	1.525924691
-30	-25	1.83284419235024	0.8497484119	-0.6863150727	1.471807423
-35	-25	1.83856984399226	0.9851375533	-0.6560586118	1.406922233
-40	-25	1.84491954996423	1.116779062	-0.6206207340	1.330925459
-45	-25	1.85174826185564	1.243528461	-0.5798668446	1.243528461
-
--45	-20	1.84983467383214	-1.266750282	-0.4610593968	1.266750282
--40	-20	1.84247239861819	-1.140805646	-0.4948390904	1.359559227
--35	-20	1.83554848176406	-1.008938827	-0.5244497970	1.440913975
--30	-20	1.82923786835558	-0.8723104233	-0.5499175216	1.510885973
--25	-20	1.82368380488601	-0.7319282835	-0.5712968770	1.569625269
--20	-20	1.81900027964306	-0.5886568253	-0.5886568253	1.617321335
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-
--45	-15	1.84849073573650	-1.284232636	-0.3441090978	1.284232636
--40	-15	1.84066587253211	-1.158993701	-0.3701007780	1.381234907
--35	-15	1.83324516635735	-1.027057292	-0.3930251490	1.466789825
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--20	-15	1.81526802284699	-0.6020665418	-0.4432319692	1.654164229
--15	-15	1.81117351581811	-0.4538127202	-0.4538127202	1.693652129
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-
--45	-10	1.84755321652678	-1.296379766	-0.2285867300	1.296379766
--40	-10	1.83939249296269	-1.171698163	-0.2462186749	1.396375495
--35	-10	1.83160722951368	-1.039776560	-0.2618376001	1.484954821
--30	-10	1.82441740578615	-0.9017555399	-0.2754027151	1.561886411
--25	-10	1.81801558166665	-0.7586997762	-0.2868905077	1.627036921
--20	-10	1.81256248578520	-0.6115943024	-0.2962895496	1.680341536
--15	-10	1.80818840915525	-0.4613499022	-0.3035964937	1.721781275
--10	-10	1.80499332337031	-0.3088124626	-0.3088124626	1.751362505
--5	-10	1.80304712290522	-0.1547762386	-0.3119401501	1.769100502
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-
--45	-5	1.84700629828123	-1.303538652	-0.1140448546	1.303538652
--40	-5	1.83864054570881	-1.179209995	-0.1229502465	1.405327748
--35	-5	1.83063131361141	-1.047320863	-0.1308593489	1.495729203
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--25	-5	1.81658313742358	-0.7653191329	-0.1435892097	1.641232177
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--45	0	1.84683872923622	-1.305912189	0.000000000	1.305912189
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--45	5	1.84704675610397	-1.303567206	0.1140473527	1.303567206
--40	5	1.83867180023735	-1.179230040	0.1229523365	1.405351637
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--45	10	1.84763131909342	-1.296434568	0.2285963931	1.296434568
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--45	15	1.84860052912368	-1.284308915	0.3441295366	1.284308915
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--45	20	1.84996698702538	-1.266840889	0.4610923751	1.266840889
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--45	25	1.85174826185566	-1.243528461	0.5798668446	1.243528461
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--45	30	1.85396392705378	-1.213704290	0.7007324987	1.213704290
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--45	35	1.85663472542622	-1.176525798	0.8238122329	1.176525798
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-10	35	1.83164919220373	0.2618435989	1.039800381	1.484988842
-15	35	1.83330095588122	0.3930371096	1.027088548	1.466834462
-20	35	1.83560889596110	0.5244670584	1.008972035	1.440961400
-25	35	1.83856984415582	0.6560586118	0.9851375534	1.406922233
-30	35	1.84217405979551	0.7875939910	0.9551900795	1.364152808
-35	35	1.84639895972316	0.9186625308	0.9186625308	1.311986062
-40	35	1.85120405387125	1.048605243	0.8750347016	1.249679065
-45	35	1.85652069461189	1.176453539	0.8237616360	1.176453539
-
--45	40	1.85977403303055	-1.130966533	0.9489936010	1.130966533
--40	40	1.85522820858535	-1.003151953	1.003151953	1.195509944
--35	40	1.85120405350926	-0.8750347015	1.048605242	1.249679065
--30	40	1.84773297194873	-0.7473742598	1.086206241	1.294490190
--25	40	1.84482387945176	-0.6205885510	1.116721150	1.330856442
--20	40	1.84247239846198	-0.4948390904	1.140805646	1.359559227
--15	40	1.84066587241150	-0.3701007779	1.158993701	1.381234907
--10	40	1.83939249287314	-0.2462186749	1.171698163	1.396375495
--5	40	1.83864054564789	-0.1229502465	1.179209995	1.405327748
-0	40	1.83840133063466	0.000000000	1.181701597	1.408297124
-5	40	1.83867180023319	0.1229523365	1.179230040	1.405351637
-10	40	1.83945194977077	0.2462266338	1.171736037	1.396420632
-15	40	1.84074754303373	0.3701171994	1.159045126	1.381296193
-20	40	1.84256667244761	0.4948644099	1.140864018	1.359628792
-25	40	1.84491955011790	0.6206207340	1.116779062	1.330925459
-30	40	1.84781428546360	0.7474071497	1.086254042	1.294547157
-35	40	1.85125402687855	0.8750583231	1.048633549	1.249712800
-40	40	1.85522820909446	1.003151953	1.003151953	1.195509944
-45	40	1.85970549135111	1.130924852	0.9489586260	1.130924852
-
--45	45	1.86338407335920	-1.075825296	1.075825296	1.075825296
--40	45	1.85970549083917	-0.9489586257	1.130924851	1.130924851
--35	45	1.85652069429432	-0.8237616359	1.176453538	1.176453538
--30	45	1.85382660879857	-0.7006805972	1.213614394	1.213614394
--25	45	1.85160534554687	-0.5798220910	1.243432487	1.243432487
--20	45	1.84983467368527	-0.4610593968	1.266750282	1.266750282
--15	45	1.84849073562075	-0.3441090978	1.284232636	1.284232636
--10	45	1.84755321643883	-0.2285867300	1.296379766	1.296379766
--5	45	1.84700629821910	-0.1140448546	1.303538652	1.303538652
-0	45	1.84683872919920	0.000000000	1.305912189	1.305912189
-5	45	1.84704675609253	0.1140473527	1.303567206	1.303567206
-10	45	1.84763131911001	0.2285963931	1.296434568	1.296434568
-15	45	1.84860052917175	0.3441295366	1.284308915	1.284308915
-20	45	1.84996698710895	0.4610923751	1.266840889	1.266840889
-25	45	1.85174826198154	0.5798668446	1.243528461	1.243528461
-30	45	1.85396392723604	0.7007324987	1.213704290	1.213704290
-35	45	1.85663472569971	0.8238122330	1.176525799	1.176525799
-40	45	1.85977403351085	0.9489936013	1.130966534	1.130966534
-45	45	1.86338407450635	1.075825297	1.075825297	1.075825297
-
-
-### +x patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = drho = dnu
-# dpy = dsigma = dphi
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-45	1.86338394519520	1.075825222	-1.075825222	1.075825222
-45	-40	1.85977391284639	1.130966460	-0.9489935397	1.130966460
-45	-35	1.85663469922808	1.176525782	-0.8238122213	1.176525782
-45	-30	1.85396384235652	1.213704235	-0.7007324667	1.213704235
-45	-25	1.85174823070994	1.243528440	-0.5798668349	1.243528440
-45	-20	1.84996697036535	1.266840877	-0.4610923709	1.266840877
-45	-15	1.84860052648869	1.284308913	-0.3441295361	1.284308913
-45	-10	1.84763131916241	1.296434568	-0.2285963931	1.296434568
-45	-5	1.84704675664033	1.303567206	-0.1140473527	1.303567206
-45	0	1.84683872964863	1.305912189	0.000000000	1.305912189
-45	5	1.84700629899394	1.303538653	0.1140448546	1.303538653
-45	10	1.84755321758801	1.296379767	0.2285867301	1.296379767
-45	15	1.84849073251853	1.284232634	0.3441090972	1.284232634
-45	20	1.84983466843334	1.266750278	0.4610593955	1.266750278
-45	25	1.85160530765092	1.243432461	0.5798220791	1.243432461
-45	30	1.85382654806771	1.213614355	0.7006805743	1.213614355
-45	35	1.85652064612480	1.176453508	0.8237616145	1.176453508
-45	40	1.85970535409978	1.130924768	0.9489585560	1.130924768
-45	45	1.86338397897839	1.075825242	1.075825242	1.075825242
-
-50	-45	1.87071350516659	1.137619050	-1.137619050	0.9545757249
-50	-40	1.86753406879208	1.203439846	-1.009805931	1.009805931
-50	-35	1.86469833981794	1.258788556	-0.8814132359	1.056249013
-50	-30	1.86223189492981	1.304647888	-0.7532388095	1.094729562
-50	-25	1.86014712079929	1.341910633	-0.6257432046	1.125996717
-50	-20	1.85844359025549	1.371344359	-0.4991285278	1.150694546
-50	-15	1.85711842432933	1.393580895	-0.3734088755	1.169353215
-50	-10	1.85616663086768	1.409109588	-0.2484640391	1.182383336
-50	-5	1.85558502018345	1.418278915	-0.1240833268	1.190077314
-50	0	1.85537111104318	1.421296730	0.000000000	1.192609562
-50	5	1.85552654431567	1.418234220	0.1240794165	1.190039811
-50	10	1.85605434448367	1.409024346	0.2484490086	1.182311809
-50	15	1.85696137839996	1.393463048	0.3733772984	1.169254330
-50	20	1.85825655304349	1.371206345	0.4990782945	1.150578738
-50	25	1.85994728326322	1.341766470	0.6256759804	1.125875750
-50	30	1.86204257609358	1.304515255	0.7531622335	1.094618269
-50	35	1.86454470582432	1.258684843	0.8813406155	1.056161988
-50	40	1.86744356231023	1.203381523	1.009756992	1.009756992
-50	45	1.87071349820314	1.137619045	1.137619045	0.9545757214
-
-55	-45	1.87713951241262	1.189519421	-1.189519421	0.8329104654
-55	-40	1.87449966735577	1.265405068	-1.061800926	0.8860461675
-55	-35	1.87209093848978	1.330241877	-0.9314453902	0.9314453902
-55	-30	1.86995251855518	1.384723102	-0.7994702559	0.9695935546
-55	-25	1.86810829317549	1.429525835	-0.6665988444	1.000964766
-55	-20	1.86657560088832	1.465270406	-0.5333148128	1.025993383
-55	-15	1.86536473509919	1.492488873	-0.3999111884	1.045051960
-55	-10	1.86448238793741	1.511607983	-0.2665372717	1.058439305
-55	-5	1.86393451169931	1.522939797	-0.1332399675	1.066373926
-55	0	1.86372388297437	1.526673229	0.000000000	1.068988103
-55	5	1.86385475194315	1.522874629	0.1332342660	1.066328295
-55	10	1.86433000102226	1.511484437	0.2665154873	1.058352797
-55	15	1.86515229832361	1.492318902	0.3998656445	1.044932944
-55	20	1.86632447534655	1.465073271	0.5332430616	1.025855348
-55	25	1.86784398907291	1.429323583	0.6665045326	1.000823147
-55	30	1.86970506392171	1.384539859	0.7993644604	0.9694652463
-55	35	1.87189455769093	1.330102336	0.9313476823	0.9313476823
-55	40	1.87438659004625	1.265328734	1.061736874	0.8859927176
-55	45	1.87713946829880	1.189519393	1.189519393	0.8329104458
-
-60	-45	1.88263655510030	1.232474931	-1.232474931	0.7115697334
-60	-40	1.88058391432841	1.317505000	-1.105517960	0.7606618664
-60	-35	1.87867151065318	1.391179625	-0.9741144601	0.8031979307
-60	-30	1.87693629096544	1.453868599	-0.8393914272	0.8393914272
-60	-25	1.87540964274484	1.505988259	-0.7022538581	0.8694827265
-60	-20	1.87411975787294	1.547956831	-0.5634102105	0.8937132932
-60	-15	1.87308306383821	1.580151646	-0.4234003576	0.9123009785
-60	-10	1.87231474420204	1.602891393	-0.2826329997	0.9254297770
-60	-5	1.87182686649129	1.616416577	-0.1414181260	0.9332385456
-60	0	1.87162736027442	1.620876840	0.000000000	0.9358136801
-60	5	1.87172284706838	1.616326751	0.1414102672	0.9331866845
-60	10	1.87211708748425	1.602722178	0.2826031626	0.9253320812
-60	15	1.87280947503798	1.579920844	0.4233385143	0.9121677247
-60	20	1.87379950260125	1.547692312	0.5633139332	0.8935605727
-60	25	1.87507835351008	1.505722227	0.7021298057	0.8693291333
-60	30	1.87662914497895	1.453630685	0.8392540673	0.8392540673
-60	35	1.87843097564530	1.391001505	0.9739897397	0.8030950936
-60	40	1.88044886772584	1.317410389	1.105438571	0.7606072425
-60	45	1.88263658017198	1.232474948	1.232474948	0.7115697429
-
-65	-45	1.88721437039500	1.267345476	-1.267345476	0.5909729009
-65	-40	1.88574097002596	1.360374042	-1.141489357	0.6343528339
-65	-35	1.88433821984269	1.441945404	-1.009661042	0.6723901845
-65	-30	1.88303721052187	1.512113335	-0.8730190411	0.7051100282
-65	-25	1.88187115960239	1.571018280	-0.7325778548	0.7325778548
-65	-20	1.88086465608213	1.618840220	-0.5892096542	0.7548775921
-65	-15	1.88003806463106	1.655769291	-0.4436620445	0.7720979007
-65	-10	1.87941113410003	1.681983001	-0.2965789842	0.7843215544
-65	-5	1.87900074872535	1.697624747	-0.1485229203	0.7916154203
-65	0	1.87881878933733	1.702788099	0.000000000	0.7940231309
-65	5	1.87887205795223	1.697508479	0.1485127481	0.7915612034
-65	10	1.87916749883469	1.681764959	0.2965405375	0.7842198798
-65	15	1.87970210024901	1.655473404	0.4435827617	0.7719599262
-65	20	1.88047308520188	1.618503199	0.5890869886	0.7547204366
-65	25	1.88147001649455	1.570683398	0.7324216972	0.7324216972
-65	30	1.88267275873053	1.511820674	0.8728500729	0.7049735579
-65	35	1.88405595273481	1.441729406	1.009509798	0.6722894628
-65	40	1.88558474144676	1.360261339	1.141394788	0.6343002795
-65	45	1.88721438052219	1.267345483	1.267345483	0.5909729041
-
-70	-45	1.89089770764524	1.294869881	-1.294869881	0.4712940940
-70	-40	1.88995088788590	1.394593575	-1.170202954	0.5075905501
-70	-35	1.88902701678737	1.482894870	-1.038334166	0.5397295932
-70	-30	1.88814917143381	1.559544632	-0.9004035131	0.5676278251
-70	-25	1.88734177389323	1.624415007	-0.7574771577	0.5912387106
-70	-20	1.88662460629926	1.677447915	-0.6105411108	0.6105411108
-70	-15	1.88601859938535	1.718635740	-0.4605070586	0.6255322529
-70	-10	1.88554349994344	1.747998806	-0.3082193517	0.6362195348
-70	-5	1.88521785251255	1.765568713	-0.1544672470	0.6426144580
-70	0	1.88505508602501	1.771372354	0.000000000	0.6447268107
-70	5	1.88506600087535	1.765426499	0.1544548049	0.6425626963
-70	10	1.88525682908391	1.747733047	0.3081724912	0.6361228064
-70	15	1.88562525154781	1.718277302	0.4604110153	0.6254017920
-70	20	1.88616736878219	1.677041374	0.6103931416	0.6103931416
-70	25	1.88687595557680	1.624014082	0.7572902033	0.5910927858
-70	30	1.88773147910999	1.559199633	0.9002043278	0.5675022557
-70	35	1.88870812256299	1.482644537	1.038158881	0.5396384793
-70	40	1.88977621919895	1.394464687	1.170094804	0.5075436387
-70	45	1.89089770819352	1.294869881	1.294869881	0.4712940941
-
-75	-45	1.89371946609289	1.315655143	-1.315655143	0.3525287330
-75	-40	1.89321244383849	1.420665833	-1.192080176	0.3806662625
-75	-35	1.89269878791241	1.514359004	-1.060365590	0.4057712721
-75	-30	1.89219208540587	1.596272209	-0.9216081893	0.4277198492
-75	-25	1.89170492014599	1.666044414	-0.7768892690	0.4464152552
-75	-20	1.89125224307001	1.723404901	-0.6272680857	0.4617849516
-75	-15	1.89084947818579	1.768158167	-0.4737765530	0.4737765530
-75	-10	1.89051671160334	1.800175390	-0.3174194913	0.4823555420
-75	-5	1.89027201389041	1.819377547	-0.1591749100	0.4875007445
-75	0	1.89012918870040	1.825724598	0.000000000	0.4892014317
-75	5	1.89010043848267	1.819212407	0.1591604621	0.4874564952
-75	10	1.89019309734601	1.799867240	0.3173651561	0.4822729735
-75	15	1.89040694253061	1.767744346	0.4736656701	0.4736656701
-75	20	1.89073948528267	1.722937650	0.6270980203	0.4616597521
-75	25	1.89118504744021	1.665586556	0.7766757666	0.4462925727
-75	30	1.89172908859227	1.595881620	0.9213826828	0.4276151913
-75	35	1.89235011894888	1.514080032	1.060170252	0.4056965218
-75	40	1.89302296441289	1.420523647	1.191960868	0.3806281641
-75	45	1.89371946197438	1.315655140	1.315655140	0.3525287322
-
-80	-45	1.89571003745605	1.330170147	-1.330170147	0.2345448859
-80	-40	1.89553259965541	1.438994278	-1.207459568	0.2537335163
-80	-35	1.89533248232792	1.536619348	-1.075952451	0.2709474502
-80	-30	1.89511295274615	1.622408972	-0.9366982569	0.2860744756
-80	-25	1.89487754652728	1.695824700	-0.7907760445	0.2990196492
-80	-20	1.89463453191464	1.756426674	-0.6392870282	0.3097054123
-80	-15	1.89439518023069	1.803868520	-0.4833451131	0.3180706897
-80	-10	1.89417863220230	1.837897897	-0.3240709871	0.3240709871
-80	-5	1.89400123851655	1.858342192	-0.1625838747	0.3276758678
-80	0	1.89387591766260	1.865103687	0.000000000	0.3288681018
-80	5	1.89381518853238	1.858159644	0.1625679039	0.3276436798
-80	10	1.89382789413867	1.837557581	0.3240109801	0.3240109801
-80	15	1.89391632739693	1.803412550	0.4832229363	0.3179902899
-80	20	1.89407987192084	1.755912475	0.6390998750	0.3096147451
-80	25	1.89431703563362	1.695323070	0.7905421304	0.2989311982
-80	30	1.89461582500208	1.621983381	0.9364525414	0.2859994323
-80	35	1.89496057481285	1.536317828	1.075741324	0.2708942841
-80	40	1.89533220597023	1.438842149	1.207331916	0.2537066918
-80	45	1.89571003354047	1.330170145	1.330170145	0.2345448855
-
-85	-45	1.89689427867493	1.338747472	-1.338747472	0.1171252271
-85	-40	1.89692010943756	1.449872555	-1.216587526	0.1268474121
-85	-35	1.89691542927617	1.549887070	-1.085242610	0.1355975483
-85	-30	1.89687651039300	1.638048203	-0.9457275710	0.1433106481
-85	-25	1.89680185417921	1.713707549	-0.7991149541	0.1499299832
-85	-20	1.89669269323541	1.776315280	-0.6465258885	0.1554074498
-85	-15	1.89655928832847	1.825429018	-0.4891222312	0.1597043451
-85	-10	1.89641921388467	1.860714643	-0.3280941949	0.1627914373
-85	-5	1.89628672988173	1.881936597	-0.1646481177	0.1646481177
-85	0	1.89617346594891	1.888957953	0.000000000	0.1652624068
-85	5	1.89609190745776	1.881743249	0.1646312020	0.1646312020
-85	10	1.89605218089542	1.860354520	0.3280306956	0.1627599306
-85	15	1.89605858403549	1.824947092	0.4889930996	0.1596621821
-85	20	1.89611209178345	1.775771527	0.6463279788	0.1553598776
-85	25	1.89621457007244	1.713176954	0.7988675336	0.1498835621
-85	30	1.89635810511244	1.637600534	0.9454691091	0.1432714821
-85	35	1.89652899390913	1.549571330	1.085021526	0.1355699247
-85	40	1.89671310667372	1.449714337	1.216454765	0.1268335698
-85	45	1.89689427555732	1.338747469	1.338747469	0.1171252269
-
-90	-45	1.89728648384518	1.341584139	-1.341584139	0.000000000
-90	-40	1.89738103488980	1.453478198	-1.219613020	0.000000000
-90	-35	1.89744282852728	1.554294172	-1.088328496	0.000000000
-90	-30	1.89746564130228	1.643253448	-0.9487328207	0.000000000
-90	-25	1.89744614565938	1.719670217	-0.8018953918	0.000000000
-90	-20	1.89738318437130	1.782956977	-0.6489432687	0.000000000
-90	-15	1.89728653602291	1.832638065	-0.4910538895	0.000000000
-90	-10	1.89717318215456	1.868350859	-0.3294406658	0.000000000
-90	-5	1.89705651405948	1.889837641	-0.1653393695	0.000000000
-90	0	1.89694760485563	1.896947605	0.000000000	0.000000000
-90	5	1.89685877007339	1.889640650	0.1653221350	0.000000000
-90	10	1.89680074227129	1.867984077	0.3293759923	0.000000000
-90	15	1.89677857502036	1.832147412	0.4909224196	0.000000000
-90	20	1.89679387577454	1.782403208	0.6487417133	0.000000000
-90	25	1.89684982451163	1.719129767	0.8016433756	0.000000000
-90	30	1.89694005020999	1.642798273	0.9484700251	0.000000000
-90	35	1.89705147100976	1.553973591	1.088104022	0.000000000
-90	40	1.89717182258600	1.453317932	1.219478541	0.000000000
-90	45	1.89728648176908	1.341584137	1.341584137	0.000000000
-
-
-### +y patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = 90 - dsigma = 90 - dphi
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
-45	45	1.86338394555680	1.075825223	1.075825223	1.075825223
-40	45	1.85977391316397	0.9489935399	1.130966460	1.130966460
-35	45	1.85663469946787	0.8238122214	1.176525782	1.176525782
-30	45	1.85396384253110	0.7007324667	1.213704235	1.213704235
-25	45	1.85174823083385	0.5798668349	1.243528440	1.243528440
-20	45	1.84996697044838	0.4610923709	1.266840877	1.266840877
-15	45	1.84860052653659	0.3441295361	1.284308913	1.284308913
-10	45	1.84763131917894	0.2285963931	1.296434568	1.296434568
-5	45	1.84704675662883	0.1140473527	1.303567206	1.303567206
-0	45	1.84683872961156	0.000000000	1.305912189	1.305912189
--5	45	1.84700629893176	-0.1140448546	1.303538653	1.303538653
--10	45	1.84755321750004	-0.2285867301	1.296379767	1.296379767
--15	45	1.84849073240289	-0.3441090972	1.284232634	1.284232634
--20	45	1.84983466828704	-0.4610593955	1.266750278	1.266750278
--25	45	1.85160530746921	-0.5798220791	1.243432461	1.243432461
--30	45	1.85382654784244	-0.7006805742	1.213614354	1.213614354
--35	45	1.85652064584448	-0.8237616144	1.176453508	1.176453508
--40	45	1.85970535375840	-0.9489585558	1.130924768	1.130924768
--45	45	1.86338397861656	-1.075825242	1.075825242	1.075825242
-
-45	50	1.87071350542383	1.137619050	1.137619050	0.9545757250
-40	50	1.86753406904451	1.009805931	1.203439846	1.009805931
-35	50	1.86469834003075	0.8814132360	1.258788556	1.056249013
-30	50	1.86223189509498	0.7532388096	1.304647888	1.094729562
-25	50	1.86014712091991	0.6257432046	1.341910633	1.125996717
-20	50	1.85844359033700	0.4991285278	1.371344360	1.150694546
-15	50	1.85711842437619	0.3734088755	1.393580895	1.169353215
-10	50	1.85616663088296	0.2484640391	1.409109588	1.182383336
-5	50	1.85558502016984	0.1240833268	1.418278915	1.190077314
-0	50	1.85537111100295	0.000000000	1.421296730	1.192609562
--5	50	1.85552654424983	-0.1240794165	1.418234220	1.190039811
--10	50	1.85605434439181	-0.2484490086	1.409024346	1.182311809
--15	50	1.85696137828058	-0.3733772984	1.393463048	1.169254330
--20	50	1.85825655289451	-0.4990782945	1.371206345	1.150578738
--25	50	1.85994728308168	-0.6256759803	1.341766470	1.125875750
--30	50	1.86204257587588	-0.7531622334	1.304515255	1.094618269
--35	50	1.86454470557095	-0.8813406154	1.258684843	1.056161988
--40	50	1.86744356203534	-1.009756992	1.203381523	1.009756992
--45	50	1.87071349794559	-1.137619045	1.137619045	0.9545757212
-
-45	55	1.87713951261612	1.189519421	1.189519421	0.8329104655
-40	55	1.87449966755671	1.061800926	1.265405068	0.8860461676
-35	55	1.87209093866783	0.9314453903	1.330241877	0.9314453903
-30	55	1.86995251870024	0.7994702560	1.384723103	0.9695935547
-25	55	1.86810829328458	0.6665988445	1.429525835	1.000964766
-20	55	1.86657560096290	0.5333148128	1.465270406	1.025993384
-15	55	1.86536473514147	0.3999111884	1.492488874	1.045051960
-10	55	1.86448238794975	0.2665372717	1.511607983	1.058439305
-5	55	1.86393451168388	0.1332399675	1.522939797	1.066373926
-0	55	1.86372388293253	0.000000000	1.526673229	1.068988103
--5	55	1.86385475187579	-0.1332342660	1.522874629	1.066328295
--10	55	1.86433000092997	-0.2665154872	1.511484437	1.058352797
--15	55	1.86515229820569	-0.3998656445	1.492318902	1.044932944
--20	55	1.86632447520210	-0.5332430616	1.465073271	1.025855348
--25	55	1.86784398890158	-0.6665045325	1.429323582	1.000823147
--30	55	1.86970506372449	-0.7993644603	1.384539859	0.9694652462
--35	55	1.87189455747366	-0.9313476822	1.330102336	0.9313476822
--40	55	1.87438658982468	-1.061736874	1.265328734	0.8859927175
--45	55	1.87713946809518	-1.189519393	1.189519393	0.8329104457
-
-45	60	1.88263655527178	1.232474932	1.232474932	0.7115697335
-40	60	1.88058391449578	1.105517960	1.317505000	0.7606618665
-35	60	1.87867151080306	0.9741144602	1.391179625	0.8031979308
-30	60	1.87693629108992	0.8393914273	1.453868599	0.8393914273
-25	60	1.87540964284059	0.7022538581	1.505988259	0.8694827266
-20	60	1.87411975793885	0.5634102105	1.547956831	0.8937132932
-15	60	1.87308306387453	0.4234003576	1.580151647	0.9123009785
-10	60	1.87231474421009	0.2826329997	1.602891393	0.9254297770
-5	60	1.87182686647280	0.1414181260	1.616416576	0.9332385456
-0	60	1.87162736023089	0.000000000	1.620876840	0.9358136801
--5	60	1.87172284700081	-0.1414102672	1.616326750	0.9331866845
--10	60	1.87211708739328	-0.2826031626	1.602722178	0.9253320811
--15	60	1.87280947492454	-0.4233385143	1.579920844	0.9121677247
--20	60	1.87379950246560	-0.5633139332	1.547692312	0.8935605727
--25	60	1.87507835335273	-0.7021298056	1.505722227	0.8693291332
--30	60	1.87662914480360	-0.8392540673	1.453630685	0.8392540673
--35	60	1.87843097545895	-0.9739897396	1.391001505	0.8030950935
--40	60	1.88044886754051	-1.105438571	1.317410388	0.7606072424
--45	60	1.88263658000051	-1.232474948	1.232474948	0.7115697428
-
-45	65	1.88721437054582	1.267345476	1.267345476	0.5909729010
-40	65	1.88574097017119	1.141489357	1.360374043	0.6343528340
-35	65	1.88433821997289	1.009661042	1.441945404	0.6723901845
-30	65	1.88303721063027	0.8730190411	1.512113335	0.7051100282
-25	65	1.88187115968623	0.7325778549	1.571018280	0.7325778549
-20	65	1.88086465613910	0.5892096542	1.618840220	0.7548775921
-15	65	1.88003806466115	0.4436620445	1.655769291	0.7720979007
-10	65	1.87941113410501	0.2965789842	1.681983001	0.7843215544
-5	65	1.87900074870564	0.1485229203	1.697624747	0.7916154203
-0	65	1.87881878929369	0.000000000	1.702788099	0.7940231309
--5	65	1.87887205788596	-0.1485127481	1.697508479	0.7915612034
--10	65	1.87916749874660	-0.2965405375	1.681764959	0.7842198797
--15	65	1.87970210014115	-0.4435827617	1.655473404	0.7719599261
--20	65	1.88047308507539	-0.5890869886	1.618503199	0.7547204366
--25	65	1.88147001634992	-0.7324216971	1.570683398	0.7324216971
--30	65	1.88267275857319	-0.8728500728	1.511820674	0.7049735578
--35	65	1.88405595257144	-1.009509798	1.441729406	0.6722894628
--40	65	1.88558474128553	-1.141394788	1.360261339	0.6343002795
--45	65	1.88721438037142	-1.267345483	1.267345483	0.5909729040
-
-45	70	1.89089770778195	1.294869881	1.294869881	0.4712940940
-40	70	1.88995088801574	1.170202954	1.394593575	0.5075905501
-35	70	1.88902701690296	1.038334166	1.482894870	0.5397295932
-30	70	1.88814917152949	0.9004035132	1.559544632	0.5676278251
-25	70	1.88734177396717	0.7574771577	1.624415007	0.5912387106
-20	70	1.88662460634912	0.6105411108	1.677447916	0.6105411108
-15	70	1.88601859941080	0.4605070586	1.718635740	0.6255322529
-10	70	1.88554349994559	0.3082193517	1.747998806	0.6362195348
-5	70	1.88521785249149	0.1544672470	1.765568713	0.6426144580
-0	70	1.88505508598108	0.000000000	1.771372354	0.6447268107
--5	70	1.88506600081010	-0.1544548049	1.765426499	0.6425626963
--10	70	1.88525682899896	-0.3081724912	1.747733047	0.6361228064
--15	70	1.88562525144483	-0.4604110153	1.718277301	0.6254017919
--20	70	1.88616736866289	-0.6103931416	1.677041373	0.6103931416
--25	70	1.88687595544362	-0.7572902033	1.624014082	0.5910927858
--30	70	1.88773147896741	-0.9002043277	1.559199633	0.5675022556
--35	70	1.88870812241634	-1.038158881	1.482644536	0.5396384793
--40	70	1.88977621905429	-1.170094804	1.394464687	0.5075436387
--45	70	1.89089770805686	-1.294869881	1.294869881	0.4712940941
-
-45	75	1.89371946621960	1.315655143	1.315655143	0.3525287330
-40	75	1.89321244395762	1.192080176	1.420665833	0.3806662626
-35	75	1.89269878801716	1.060365590	1.514359004	0.4057712721
-30	75	1.89219208549180	0.9216081894	1.596272209	0.4277198492
-25	75	1.89170492021250	0.7768892690	1.666044414	0.4464152552
-20	75	1.89125224311538	0.6272680857	1.723404901	0.4617849516
-15	75	1.89084947820713	0.4737765530	1.768158167	0.4737765530
-10	75	1.89051671160268	0.3174194913	1.800175390	0.4823555420
-5	75	1.89027201386843	0.1591749100	1.819377547	0.4875007445
-0	75	1.89012918865653	0.000000000	1.825724598	0.4892014317
--5	75	1.89010043841806	-0.1591604621	1.819212406	0.4874564952
--10	75	1.89019309726289	-0.3173651561	1.799867240	0.4822729734
--15	75	1.89040694243141	-0.4736656700	1.767744346	0.4736656700
--20	75	1.89073948516940	-0.6270980202	1.722937650	0.4616597520
--25	75	1.89118504731665	-0.7766757665	1.665586556	0.4462925727
--30	75	1.89172908846100	-0.9213826828	1.595881620	0.4276151912
--35	75	1.89235011881399	-1.060170252	1.514080032	0.4056965217
--40	75	1.89302296427970	-1.191960868	1.420523647	0.3806281641
--45	75	1.89371946184773	-1.315655140	1.315655140	0.3525287322
-
-45	80	1.89571003757581	1.330170148	1.330170148	0.2345448860
-40	80	1.89553259976724	1.207459568	1.438994278	0.2537335163
-35	80	1.89533248242683	1.075952451	1.536619348	0.2709474502
-30	80	1.89511295282694	0.9366982570	1.622408972	0.2860744756
-25	80	1.89487754658932	0.7907760445	1.695824700	0.2990196492
-20	80	1.89463453195672	0.6392870282	1.756426674	0.3097054123
-15	80	1.89439518024965	0.4833451131	1.803868520	0.3180706897
-10	80	1.89417863219976	0.3240709871	1.837897897	0.3240709871
-5	80	1.89400123849362	0.1625838747	1.858342192	0.3276758678
-0	80	1.89387591761938	0.000000000	1.865103687	0.3288681018
--5	80	1.89381518846947	-0.1625679039	1.858159644	0.3276436798
--10	80	1.89382789405794	-0.3240109801	1.837557581	0.3240109801
--15	80	1.89391632730148	-0.4832229363	1.803412550	0.3179902899
--20	80	1.89407987181286	-0.6390998749	1.755912475	0.3096147451
--25	80	1.89431703551691	-0.7905421304	1.695323069	0.2989311982
--30	80	1.89461582487941	-0.9364525413	1.621983380	0.2859994322
--35	80	1.89496057468672	-1.075741324	1.536317828	0.2708942841
--40	80	1.89533220584477	-1.207331916	1.438842149	0.2537066918
--45	80	1.89571003342075	-1.330170145	1.330170145	0.2345448854
-
-45	85	1.89689427879084	1.338747472	1.338747472	0.1171252271
-40	85	1.89692010954531	1.216587526	1.449872555	0.1268474121
-35	85	1.89691542937283	1.085242610	1.549887070	0.1355975484
-30	85	1.89687651047256	0.9457275710	1.638048203	0.1433106481
-25	85	1.89680185423892	0.7991149541	1.713707549	0.1499299832
-20	85	1.89669269327514	0.6465258885	1.776315280	0.1554074498
-15	85	1.89655928834741	0.4891222312	1.825429018	0.1597043451
-10	85	1.89641921388204	0.3280941949	1.860714643	0.1627914373
-5	85	1.89628672985817	0.1646481177	1.881936597	0.1646481177
-0	85	1.89617346590587	0.000000000	1.888957953	0.1652624068
--5	85	1.89609190739703	-0.1646312020	1.881743249	0.1646312020
--10	85	1.89605218081865	-0.3280306956	1.860354520	0.1627599306
--15	85	1.89605858394462	-0.4889930996	1.824947092	0.1596621821
--20	85	1.89611209167959	-0.6463279787	1.775771527	0.1553598776
--25	85	1.89621456995918	-0.7988675336	1.713176954	0.1498835621
--30	85	1.89635810499466	-0.9454691091	1.637600534	0.1432714821
--35	85	1.89652899378854	-1.085021526	1.549571330	0.1355699247
--40	85	1.89671310655297	-1.216454765	1.449714337	0.1268335698
--45	85	1.89689427544146	-1.338747469	1.338747469	0.1171252269
-
-45	90	1.89728648395996	1.341584139	1.341584139	0.000000000
-40	90	1.89738103499617	1.219613020	1.453478198	0.000000000
-35	90	1.89744282862298	1.088328496	1.554294172	0.000000000
-30	90	1.89746564138154	0.9487328207	1.643253448	0.000000000
-25	90	1.89744614571777	0.8018953918	1.719670217	0.000000000
-20	90	1.89738318440989	0.6489432687	1.782956977	0.000000000
-15	90	1.89728653604155	0.4910538895	1.832638065	0.000000000
-10	90	1.89717318215177	0.3294406658	1.868350859	0.000000000
-5	90	1.89705651403587	0.1653393695	1.889837641	0.000000000
-0	90	1.89694760481255	0.000000000	1.896947605	0.000000000
--5	90	1.89685877001345	-0.1653221350	1.889640650	0.000000000
--10	90	1.89680074219697	-0.3293759923	1.867984077	0.000000000
--15	90	1.89677857493240	-0.4909224195	1.832147412	0.000000000
--20	90	1.89679387567256	-0.6487417132	1.782403208	0.000000000
--25	90	1.89684982439958	-0.8016433756	1.719129767	0.000000000
--30	90	1.89694005009317	-0.9484700250	1.642798273	0.000000000
--35	90	1.89705147089080	-1.088104022	1.553973591	0.000000000
--40	90	1.89717182246692	-1.219478541	1.453317932	0.000000000
--45	90	1.89728648165435	-1.341584137	1.341584137	0.000000000
-
-
-### -x patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = drho = dnu
-# dpy = 180 - dsigma = 180 - dphi
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--90	45	1.89728648384523	-1.341584139	1.341584139	1.642966721e-16
--90	40	1.89738103488983	-1.453478198	1.219613020	1.779997423e-16
--90	35	1.89744282852730	-1.554294172	1.088328496	1.903461383e-16
--90	30	1.89746564130230	-1.643253448	0.9487328207	2.012405075e-16
--90	25	1.89744614565937	-1.719670217	0.8018953918	2.105988627e-16
--90	20	1.89738318437129	-1.782956977	0.6489432687	2.183492555e-16
--90	15	1.89728653602288	-1.832638065	0.4910538895	2.244334340e-16
--90	10	1.89717318215452	-1.868350859	0.3294406658	2.288069899e-16
--90	5	1.89705651405942	-1.889837641	0.1653393695	2.314383618e-16
--90	-2.84217e-14	1.89694760485557	-1.896947605	-6.101048817e-16	2.323090812e-16
--90	-5	1.89685877007331	-1.889640650	-0.1653221350	2.314142373e-16
--90	-10	1.89680074227120	-1.867984077	-0.3293759923	2.287620721e-16
--90	-15	1.89677857502027	-1.832147412	-0.4909224196	2.243733464e-16
--90	-20	1.89679387577443	-1.782403208	-0.6487417133	2.182814384e-16
--90	-25	1.89684982451151	-1.719129767	-0.8016433756	2.105326766e-16
--90	-30	1.89694005020987	-1.642798273	-0.9484700251	2.011847647e-16
--90	-35	1.89705147100962	-1.553973591	-1.088104022	1.903068784e-16
--90	-40	1.89717182258586	-1.453317932	-1.219478541	1.779801154e-16
--90	-45	1.89728648176893	-1.341584137	-1.341584137	1.642966719e-16
-
--85	45	1.89689427867498	-1.338747472	1.338747472	0.1171252271
--85	40	1.89692010943760	-1.449872555	1.216587526	0.1268474121
--85	35	1.89691542927619	-1.549887070	1.085242610	0.1355975483
--85	30	1.89687651039301	-1.638048203	0.9457275710	0.1433106481
--85	25	1.89680185417921	-1.713707549	0.7991149541	0.1499299832
--85	20	1.89669269323539	-1.776315280	0.6465258885	0.1554074498
--85	15	1.89655928832844	-1.825429018	0.4891222312	0.1597043451
--85	10	1.89641921388463	-1.860714643	0.3280941949	0.1627914373
--85	5	1.89628672988168	-1.881936597	0.1646481177	0.1646481177
--85	-2.84217e-14	1.89617346594885	-1.888957953	-6.075352138e-16	0.1652624068
--85	-5	1.89609190745768	-1.881743249	-0.1646312020	0.1646312020
--85	-10	1.89605218089533	-1.860354520	-0.3280306956	0.1627599306
--85	-15	1.89605858403539	-1.824947092	-0.4889930996	0.1596621821
--85	-20	1.89611209178334	-1.775771527	-0.6463279788	0.1553598776
--85	-25	1.89621457007232	-1.713176954	-0.7988675336	0.1498835621
--85	-30	1.89635810511231	-1.637600534	-0.9454691091	0.1432714821
--85	-35	1.89652899390900	-1.549571330	-1.085021526	0.1355699247
--85	-40	1.89671310667358	-1.449714337	-1.216454765	0.1268335698
--85	-45	1.89689427555717	-1.338747469	-1.338747469	0.1171252269
-
--80	45	1.89571003745610	-1.330170147	1.330170147	0.2345448859
--80	40	1.89553259965544	-1.438994278	1.207459568	0.2537335163
--80	35	1.89533248232794	-1.536619348	1.075952451	0.2709474502
--80	30	1.89511295274616	-1.622408972	0.9366982569	0.2860744756
--80	25	1.89487754652728	-1.695824700	0.7907760445	0.2990196492
--80	20	1.89463453191462	-1.756426674	0.6392870282	0.3097054123
--80	15	1.89439518023066	-1.803868520	0.4833451131	0.3180706897
--80	10	1.89417863220226	-1.837897897	0.3240709871	0.3240709871
--80	5	1.89400123851650	-1.858342192	0.1625838747	0.3276758678
--80	-2.84217e-14	1.89387591766253	-1.865103687	-5.998630966e-16	0.3288681018
--80	-5	1.89381518853230	-1.858159644	-0.1625679039	0.3276436798
--80	-10	1.89382789413858	-1.837557581	-0.3240109801	0.3240109801
--80	-15	1.89391632739684	-1.803412550	-0.4832229363	0.3179902899
--80	-20	1.89407987192073	-1.755912475	-0.6390998750	0.3096147451
--80	-25	1.89431703563351	-1.695323070	-0.7905421304	0.2989311982
--80	-30	1.89461582500196	-1.621983381	-0.9364525414	0.2859994323
--80	-35	1.89496057481271	-1.536317828	-1.075741324	0.2708942841
--80	-40	1.89533220597009	-1.438842149	-1.207331916	0.2537066918
--80	-45	1.89571003354032	-1.330170145	-1.330170145	0.2345448855
-
--75	45	1.89371946609294	-1.315655143	1.315655143	0.3525287330
--75	40	1.89321244383853	-1.420665833	1.192080176	0.3806662625
--75	35	1.89269878791243	-1.514359004	1.060365590	0.4057712721
--75	30	1.89219208540589	-1.596272209	0.9216081893	0.4277198492
--75	25	1.89170492014599	-1.666044414	0.7768892690	0.4464152552
--75	20	1.89125224307000	-1.723404901	0.6272680857	0.4617849516
--75	15	1.89084947818576	-1.768158167	0.4737765530	0.4737765530
--75	10	1.89051671160330	-1.800175390	0.3174194913	0.4823555420
--75	5	1.89027201389036	-1.819377547	0.1591749100	0.4875007445
--75	-2.84217e-14	1.89012918870034	-1.825724598	-5.871978157e-16	0.4892014317
--75	-5	1.89010043848260	-1.819212407	-0.1591604621	0.4874564952
--75	-10	1.89019309734592	-1.799867240	-0.3173651561	0.4822729735
--75	-15	1.89040694253052	-1.767744346	-0.4736656701	0.4736656701
--75	-20	1.89073948528256	-1.722937650	-0.6270980203	0.4616597521
--75	-25	1.89118504744009	-1.665586556	-0.7766757666	0.4462925727
--75	-30	1.89172908859215	-1.595881620	-0.9213826828	0.4276151913
--75	-35	1.89235011894875	-1.514080032	-1.060170252	0.4056965218
--75	-40	1.89302296441275	-1.420523647	-1.191960868	0.3806281641
--75	-45	1.89371946197423	-1.315655140	-1.315655140	0.3525287322
-
--70	45	1.89089770764530	-1.294869881	1.294869881	0.4712940940
--70	40	1.88995088788594	-1.394593575	1.170202954	0.5075905501
--70	35	1.88902701678740	-1.482894870	1.038334166	0.5397295932
--70	30	1.88814917143383	-1.559544632	0.9004035131	0.5676278251
--70	25	1.88734177389324	-1.624415007	0.7574771577	0.5912387106
--70	20	1.88662460629924	-1.677447915	0.6105411108	0.6105411108
--70	15	1.88601859938533	-1.718635740	0.4605070586	0.6255322529
--70	10	1.88554349994340	-1.747998806	0.3082193517	0.6362195348
--70	5	1.88521785251250	-1.765568713	0.1544672470	0.6426144580
--70	-2.84217e-14	1.88505508602495	-1.771372354	-5.697168007e-16	0.6447268107
--70	-5	1.88506600087528	-1.765426499	-0.1544548049	0.6425626963
--70	-10	1.88525682908382	-1.747733047	-0.3081724912	0.6361228064
--70	-15	1.88562525154772	-1.718277302	-0.4604110153	0.6254017920
--70	-20	1.88616736878208	-1.677041374	-0.6103931416	0.6103931416
--70	-25	1.88687595557669	-1.624014082	-0.7572902033	0.5910927858
--70	-30	1.88773147910986	-1.559199633	-0.9002043278	0.5675022557
--70	-35	1.88870812256285	-1.482644537	-1.038158881	0.5396384793
--70	-40	1.88977621919881	-1.394464687	-1.170094804	0.5075436387
--70	-45	1.89089770819337	-1.294869881	-1.294869881	0.4712940941
-
--65	45	1.88721437039506	-1.267345476	1.267345476	0.5909729009
--65	40	1.88574097002601	-1.360374042	1.141489357	0.6343528339
--65	35	1.88433821984272	-1.441945404	1.009661042	0.6723901845
--65	30	1.88303721052188	-1.512113335	0.8730190411	0.7051100282
--65	25	1.88187115960239	-1.571018280	0.7325778548	0.7325778548
--65	20	1.88086465608212	-1.618840220	0.5892096542	0.7548775921
--65	15	1.88003806463104	-1.655769291	0.4436620445	0.7720979007
--65	10	1.87941113410000	-1.681983001	0.2965789842	0.7843215544
--65	5	1.87900074872530	-1.697624747	0.1485229203	0.7916154203
--65	-2.84217e-14	1.87881878933727	-1.702788099	-5.476584220e-16	0.7940231309
--65	-5	1.87887205795216	-1.697508479	-0.1485127481	0.7915612034
--65	-10	1.87916749883460	-1.681764959	-0.2965405375	0.7842198798
--65	-15	1.87970210024891	-1.655473404	-0.4435827617	0.7719599262
--65	-20	1.88047308520177	-1.618503199	-0.5890869886	0.7547204366
--65	-25	1.88147001649443	-1.570683398	-0.7324216972	0.7324216972
--65	-30	1.88267275873040	-1.511820674	-0.8728500729	0.7049735579
--65	-35	1.88405595273468	-1.441729406	-1.009509798	0.6722894628
--65	-40	1.88558474144661	-1.360261339	-1.141394788	0.6343002795
--65	-45	1.88721438052204	-1.267345483	-1.267345483	0.5909729041
-
--60	45	1.88263655510036	-1.232474931	1.232474931	0.7115697334
--60	40	1.88058391432845	-1.317505000	1.105517960	0.7606618664
--60	35	1.87867151065322	-1.391179625	0.9741144601	0.8031979307
--60	30	1.87693629096546	-1.453868599	0.8393914272	0.8393914272
--60	25	1.87540964274485	-1.505988259	0.7022538581	0.8694827265
--60	20	1.87411975787293	-1.547956831	0.5634102105	0.8937132932
--60	15	1.87308306383820	-1.580151646	0.4234003576	0.9123009785
--60	10	1.87231474420200	-1.602891393	0.2826329997	0.9254297770
--60	5	1.87182686649124	-1.616416577	0.1414181260	0.9332385456
--60	-2.84217e-14	1.87162736027436	-1.620876840	-5.213137519e-16	0.9358136801
--60	-5	1.87172284706831	-1.616326751	-0.1414102672	0.9331866845
--60	-10	1.87211708748416	-1.602722178	-0.2826031626	0.9253320812
--60	-15	1.87280947503788	-1.579920844	-0.4233385143	0.9121677247
--60	-20	1.87379950260114	-1.547692312	-0.5633139332	0.8935605727
--60	-25	1.87507835350996	-1.505722227	-0.7021298057	0.8693291333
--60	-30	1.87662914497882	-1.453630685	-0.8392540673	0.8392540673
--60	-35	1.87843097564516	-1.391001505	-0.9739897397	0.8030950936
--60	-40	1.88044886772568	-1.317410389	-1.105438571	0.7606072425
--60	-45	1.88263658017182	-1.232474948	-1.232474948	0.7115697429
-
--55	45	1.87713951241269	-1.189519421	1.189519421	0.8329104654
--55	40	1.87449966735582	-1.265405068	1.061800926	0.8860461675
--55	35	1.87209093848981	-1.330241877	0.9314453902	0.9314453902
--55	30	1.86995251855521	-1.384723102	0.7994702559	0.9695935546
--55	25	1.86810829317550	-1.429525835	0.6665988444	1.000964766
--55	20	1.86657560088832	-1.465270406	0.5333148128	1.025993383
--55	15	1.86536473509917	-1.492488873	0.3999111884	1.045051960
--55	10	1.86448238793738	-1.511607983	0.2665372717	1.058439305
--55	5	1.86393451169926	-1.522939797	0.1332399675	1.066373926
--55	-2.84217e-14	1.86372388297431	-1.526673229	-4.910155596e-16	1.068988103
--55	-5	1.86385475194308	-1.522874629	-0.1332342660	1.066328295
--55	-10	1.86433000102217	-1.511484437	-0.2665154873	1.058352797
--55	-15	1.86515229832351	-1.492318902	-0.3998656445	1.044932944
--55	-20	1.86632447534644	-1.465073271	-0.5332430616	1.025855348
--55	-25	1.86784398907279	-1.429323583	-0.6665045326	1.000823147
--55	-30	1.86970506392157	-1.384539859	-0.7993644604	0.9694652463
--55	-35	1.87189455769078	-1.330102336	-0.9313476823	0.9313476823
--55	-40	1.87438659004609	-1.265328734	-1.061736874	0.8859927176
--55	-45	1.87713946829864	-1.189519393	-1.189519393	0.8329104458
-
--50	45	1.87071350516666	-1.137619050	1.137619050	0.9545757249
--50	40	1.86753406879214	-1.203439846	1.009805931	1.009805931
--50	35	1.86469833981798	-1.258788556	0.8814132359	1.056249013
--50	30	1.86223189492984	-1.304647888	0.7532388095	1.094729562
--50	25	1.86014712079930	-1.341910633	0.6257432046	1.125996717
--50	20	1.85844359025549	-1.371344359	0.4991285278	1.150694546
--50	15	1.85711842432932	-1.393580895	0.3734088755	1.169353215
--50	10	1.85616663086765	-1.409109588	0.2484640391	1.182383336
--50	5	1.85558502018341	-1.418278915	0.1240833268	1.190077314
--50	-2.84217e-14	1.85537111104312	-1.421296730	-4.571238925e-16	1.192609562
--50	-5	1.85552654431559	-1.418234220	-0.1240794165	1.190039811
--50	-10	1.85605434448358	-1.409024346	-0.2484490086	1.182311809
--50	-15	1.85696137839986	-1.393463048	-0.3733772984	1.169254330
--50	-20	1.85825655304338	-1.371206345	-0.4990782945	1.150578738
--50	-25	1.85994728326310	-1.341766470	-0.6256759804	1.125875750
--50	-30	1.86204257609344	-1.304515255	-0.7531622335	1.094618269
--50	-35	1.86454470582417	-1.258684843	-0.8813406155	1.056161988
--50	-40	1.86744356231007	-1.203381523	-1.009756992	1.009756992
--50	-45	1.87071349820297	-1.137619045	-1.137619045	0.9545757214
-
--45	45	1.86338394519528	-1.075825222	1.075825222	1.075825222
--45	40	1.85977391284645	-1.130966460	0.9489935397	1.130966460
--45	35	1.85663469922813	-1.176525782	0.8238122213	1.176525782
--45	30	1.85396384235655	-1.213704235	0.7007324667	1.213704235
--45	25	1.85174823070996	-1.243528440	0.5798668349	1.243528440
--45	20	1.84996697036536	-1.266840877	0.4610923709	1.266840877
--45	15	1.84860052648868	-1.284308913	0.3441295361	1.284308913
--45	10	1.84763131916239	-1.296434568	0.2285963931	1.296434568
--45	5	1.84704675664029	-1.303567206	0.1140473527	1.303567206
--45	-2.84217e-14	1.84683872964858	-1.305912189	-4.200133941e-16	1.305912189
--45	-5	1.84700629899387	-1.303538653	-0.1140448546	1.303538653
--45	-10	1.84755321758792	-1.296379767	-0.2285867301	1.296379767
--45	-15	1.84849073251843	-1.284232634	-0.3441090972	1.284232634
--45	-20	1.84983466843322	-1.266750278	-0.4610593955	1.266750278
--45	-25	1.85160530765079	-1.243432461	-0.5798220791	1.243432461
--45	-30	1.85382654806757	-1.213614355	-0.7006805743	1.213614355
--45	-35	1.85652064612465	-1.176453508	-0.8237616145	1.176453508
--45	-40	1.85970535409961	-1.130924768	-0.9489585560	1.130924768
--45	-45	1.86338397897821	-1.075825242	-1.075825242	1.075825242
-
-
-### -y patch
-# N_rho = 10
-# N_sigma = 19
-# ghosted_gfn=-3
-# dpx = 90 + dsigma = 90 + dphi
-# dpy = drho = dmu
-#
-# dpx	dpy	gridfn	global_x	global_y	global_z
--45	-90	1.89728648395981	-1.341584139	-1.341584139	1.642966721e-16
--40	-90	1.89738103499602	-1.219613020	-1.453478198	1.779997423e-16
--35	-90	1.89744282862283	-1.088328496	-1.554294172	1.903461383e-16
--30	-90	1.89746564138138	-0.9487328207	-1.643253448	2.012405076e-16
--25	-90	1.89744614571761	-0.8018953918	-1.719670217	2.105988627e-16
--20	-90	1.89738318440972	-0.6489432687	-1.782956977	2.183492555e-16
--15	-90	1.89728653604139	-0.4910538895	-1.832638065	2.244334340e-16
--10	-90	1.89717318215161	-0.3294406658	-1.868350859	2.288069899e-16
--5	-90	1.89705651403572	-0.1653393695	-1.889837641	2.314383618e-16
--2.84217e-14	-90	1.89694760481240	-6.101048817e-16	-1.896947605	2.323090812e-16
-5	-90	1.89685877001330	0.1653221350	-1.889640650	2.314142373e-16
-10	-90	1.89680074219683	0.3293759923	-1.867984077	2.287620721e-16
-15	-90	1.89677857493227	0.4909224195	-1.832147412	2.243733464e-16
-20	-90	1.89679387567245	0.6487417132	-1.782403208	2.182814384e-16
-25	-90	1.89684982439948	0.8016433756	-1.719129767	2.105326766e-16
-30	-90	1.89694005009308	0.9484700250	-1.642798273	2.011847646e-16
-35	-90	1.89705147089072	1.088104022	-1.553973591	1.903068784e-16
-40	-90	1.89717182246686	1.219478541	-1.453317932	1.779801154e-16
-45	-90	1.89728648165430	1.341584137	-1.341584137	1.642966719e-16
-
--45	-85	1.89689427879069	-1.338747472	-1.338747472	0.1171252271
--40	-85	1.89692010954515	-1.216587526	-1.449872555	0.1268474121
--35	-85	1.89691542937267	-1.085242610	-1.549887070	0.1355975484
--30	-85	1.89687651047240	-0.9457275710	-1.638048203	0.1433106481
--25	-85	1.89680185423875	-0.7991149541	-1.713707549	0.1499299832
--20	-85	1.89669269327497	-0.6465258885	-1.776315280	0.1554074498
--15	-85	1.89655928834724	-0.4891222312	-1.825429018	0.1597043451
--10	-85	1.89641921388187	-0.3280941949	-1.860714643	0.1627914373
--5	-85	1.89628672985801	-0.1646481177	-1.881936597	0.1646481177
--2.84217e-14	-85	1.89617346590572	-6.075352138e-16	-1.888957953	0.1652624068
-5	-85	1.89609190739688	0.1646312020	-1.881743249	0.1646312020
-10	-85	1.89605218081851	0.3280306956	-1.860354520	0.1627599306
-15	-85	1.89605858394450	0.4889930996	-1.824947092	0.1596621821
-20	-85	1.89611209167948	0.6463279787	-1.775771527	0.1553598776
-25	-85	1.89621456995908	0.7988675336	-1.713176954	0.1498835621
-30	-85	1.89635810499457	0.9454691091	-1.637600534	0.1432714821
-35	-85	1.89652899378847	1.085021526	-1.549571330	0.1355699247
-40	-85	1.89671310655290	1.216454765	-1.449714337	0.1268335698
-45	-85	1.89689427544141	1.338747469	-1.338747469	0.1171252269
-
--45	-80	1.89571003757566	-1.330170148	-1.330170148	0.2345448860
--40	-80	1.89553259976708	-1.207459568	-1.438994278	0.2537335163
--35	-80	1.89533248242667	-1.075952451	-1.536619348	0.2709474502
--30	-80	1.89511295282677	-0.9366982570	-1.622408972	0.2860744756
--25	-80	1.89487754658915	-0.7907760445	-1.695824700	0.2990196492
--20	-80	1.89463453195655	-0.6392870282	-1.756426674	0.3097054123
--15	-80	1.89439518024948	-0.4833451131	-1.803868520	0.3180706897
--10	-80	1.89417863219959	-0.3240709871	-1.837897897	0.3240709871
--5	-80	1.89400123849346	-0.1625838747	-1.858342192	0.3276758678
--2.84217e-14	-80	1.89387591761923	-5.998630966e-16	-1.865103687	0.3288681018
-5	-80	1.89381518846932	0.1625679039	-1.858159644	0.3276436798
-10	-80	1.89382789405780	0.3240109801	-1.837557581	0.3240109801
-15	-80	1.89391632730135	0.4832229363	-1.803412550	0.3179902899
-20	-80	1.89407987181274	0.6390998749	-1.755912475	0.3096147451
-25	-80	1.89431703551680	0.7905421304	-1.695323069	0.2989311982
-30	-80	1.89461582487932	0.9364525413	-1.621983380	0.2859994322
-35	-80	1.89496057468664	1.075741324	-1.536317828	0.2708942841
-40	-80	1.89533220584471	1.207331916	-1.438842149	0.2537066918
-45	-80	1.89571003342070	1.330170145	-1.330170145	0.2345448854
-
--45	-75	1.89371946621945	-1.315655143	-1.315655143	0.3525287330
--40	-75	1.89321244395746	-1.192080176	-1.420665833	0.3806662626
--35	-75	1.89269878801699	-1.060365590	-1.514359004	0.4057712721
--30	-75	1.89219208549163	-0.9216081894	-1.596272209	0.4277198492
--25	-75	1.89170492021233	-0.7768892690	-1.666044414	0.4464152552
--20	-75	1.89125224311520	-0.6272680857	-1.723404901	0.4617849516
--15	-75	1.89084947820695	-0.4737765530	-1.768158167	0.4737765530
--10	-75	1.89051671160250	-0.3174194913	-1.800175390	0.4823555420
--5	-75	1.89027201386825	-0.1591749100	-1.819377547	0.4875007445
--2.84217e-14	-75	1.89012918865636	-5.871978157e-16	-1.825724598	0.4892014317
-5	-75	1.89010043841790	0.1591604621	-1.819212406	0.4874564952
-10	-75	1.89019309726275	0.3173651561	-1.799867240	0.4822729734
-15	-75	1.89040694243127	0.4736656700	-1.767744346	0.4736656700
-20	-75	1.89073948516927	0.6270980202	-1.722937650	0.4616597520
-25	-75	1.89118504731654	0.7766757665	-1.665586556	0.4462925727
-30	-75	1.89172908846090	0.9213826828	-1.595881620	0.4276151912
-35	-75	1.89235011881391	1.060170252	-1.514080032	0.4056965217
-40	-75	1.89302296427963	1.191960868	-1.420523647	0.3806281641
-45	-75	1.89371946184768	1.315655140	-1.315655140	0.3525287322
-
--45	-70	1.89089770778180	-1.294869881	-1.294869881	0.4712940940
--40	-70	1.88995088801558	-1.170202954	-1.394593575	0.5075905501
--35	-70	1.88902701690280	-1.038334166	-1.482894870	0.5397295932
--30	-70	1.88814917152931	-0.9004035132	-1.559544632	0.5676278251
--25	-70	1.88734177396699	-0.7574771577	-1.624415007	0.5912387106
--20	-70	1.88662460634893	-0.6105411108	-1.677447916	0.6105411108
--15	-70	1.88601859941061	-0.4605070586	-1.718635740	0.6255322529
--10	-70	1.88554349994540	-0.3082193517	-1.747998806	0.6362195348
--5	-70	1.88521785249130	-0.1544672470	-1.765568713	0.6426144580
--2.84217e-14	-70	1.88505508598090	-5.697168007e-16	-1.771372354	0.6447268107
-5	-70	1.88506600080993	0.1544548049	-1.765426499	0.6425626963
-10	-70	1.88525682899880	0.3081724912	-1.747733047	0.6361228064
-15	-70	1.88562525144469	0.4604110153	-1.718277301	0.6254017919
-20	-70	1.88616736866275	0.6103931416	-1.677041373	0.6103931416
-25	-70	1.88687595544350	0.7572902033	-1.624014082	0.5910927858
-30	-70	1.88773147896731	0.9002043277	-1.559199633	0.5675022556
-35	-70	1.88870812241625	1.038158881	-1.482644536	0.5396384793
-40	-70	1.88977621905422	1.170094804	-1.394464687	0.5075436387
-45	-70	1.89089770805681	1.294869881	-1.294869881	0.4712940941
-
--45	-65	1.88721437054566	-1.267345476	-1.267345476	0.5909729010
--40	-65	1.88574097017103	-1.141489357	-1.360374043	0.6343528340
--35	-65	1.88433821997272	-1.009661042	-1.441945404	0.6723901845
--30	-65	1.88303721063009	-0.8730190411	-1.512113335	0.7051100282
--25	-65	1.88187115968604	-0.7325778549	-1.571018280	0.7325778549
--20	-65	1.88086465613890	-0.5892096542	-1.618840220	0.7548775921
--15	-65	1.88003806466095	-0.4436620445	-1.655769291	0.7720979007
--10	-65	1.87941113410481	-0.2965789842	-1.681983001	0.7843215544
--5	-65	1.87900074870543	-0.1485229203	-1.697624747	0.7916154203
--2.84217e-14	-65	1.87881878929349	-5.476584220e-16	-1.702788099	0.7940231309
-5	-65	1.87887205788577	0.1485127481	-1.697508479	0.7915612034
-10	-65	1.87916749874643	0.2965405375	-1.681764959	0.7842198797
-15	-65	1.87970210014099	0.4435827617	-1.655473404	0.7719599261
-20	-65	1.88047308507524	0.5890869886	-1.618503199	0.7547204366
-25	-65	1.88147001634980	0.7324216971	-1.570683398	0.7324216971
-30	-65	1.88267275857308	0.8728500728	-1.511820674	0.7049735578
-35	-65	1.88405595257135	1.009509798	-1.441729406	0.6722894628
-40	-65	1.88558474128546	1.141394788	-1.360261339	0.6343002795
-45	-65	1.88721438037136	1.267345483	-1.267345483	0.5909729040
-
--45	-60	1.88263655527162	-1.232474932	-1.232474932	0.7115697335
--40	-60	1.88058391449561	-1.105517960	-1.317505000	0.7606618665
--35	-60	1.87867151080288	-0.9741144602	-1.391179625	0.8031979308
--30	-60	1.87693629108973	-0.8393914273	-1.453868599	0.8393914273
--25	-60	1.87540964284038	-0.7022538581	-1.505988259	0.8694827266
--20	-60	1.87411975793863	-0.5634102105	-1.547956831	0.8937132932
--15	-60	1.87308306387431	-0.4234003576	-1.580151647	0.9123009785
--10	-60	1.87231474420986	-0.2826329997	-1.602891393	0.9254297770
--5	-60	1.87182686647257	-0.1414181260	-1.616416576	0.9332385456
--2.84217e-14	-60	1.87162736023066	-5.213137519e-16	-1.620876840	0.9358136801
-5	-60	1.87172284700059	0.1414102672	-1.616326750	0.9331866845
-10	-60	1.87211708739308	0.2826031626	-1.602722178	0.9253320811
-15	-60	1.87280947492436	0.4233385143	-1.579920844	0.9121677247
-20	-60	1.87379950246544	0.5633139332	-1.547692312	0.8935605727
-25	-60	1.87507835335259	0.7021298056	-1.505722227	0.8693291332
-30	-60	1.87662914480349	0.8392540673	-1.453630685	0.8392540673
-35	-60	1.87843097545885	0.9739897396	-1.391001505	0.8030950935
-40	-60	1.88044886754043	1.105438571	-1.317410388	0.7606072424
-45	-60	1.88263658000045	1.232474948	-1.232474948	0.7115697428
-
--45	-55	1.87713951261596	-1.189519421	-1.189519421	0.8329104655
--40	-55	1.87449966755653	-1.061800926	-1.265405068	0.8860461676
--35	-55	1.87209093866764	-0.9314453903	-1.330241877	0.9314453903
--30	-55	1.86995251870003	-0.7994702560	-1.384723103	0.9695935547
--25	-55	1.86810829328436	-0.6665988445	-1.429525835	1.000964766
--20	-55	1.86657560096267	-0.5333148128	-1.465270406	1.025993384
--15	-55	1.86536473514123	-0.3999111884	-1.492488874	1.045051960
--10	-55	1.86448238794949	-0.2665372717	-1.511607983	1.058439305
--5	-55	1.86393451168362	-0.1332399675	-1.522939797	1.066373926
--2.84217e-14	-55	1.86372388293226	-4.910155595e-16	-1.526673229	1.068988103
-5	-55	1.86385475187554	0.1332342660	-1.522874629	1.066328295
-10	-55	1.86433000092974	0.2665154872	-1.511484437	1.058352797
-15	-55	1.86515229820548	0.3998656445	-1.492318902	1.044932944
-20	-55	1.86632447520192	0.5332430616	-1.465073271	1.025855348
-25	-55	1.86784398890143	0.6665045325	-1.429323582	1.000823147
-30	-55	1.86970506372436	0.7993644603	-1.384539859	0.9694652462
-35	-55	1.87189455747355	0.9313476822	-1.330102336	0.9313476822
-40	-55	1.87438658982459	1.061736874	-1.265328734	0.8859927175
-45	-55	1.87713946809511	1.189519393	-1.189519393	0.8329104457
-
--45	-50	1.87071350542366	-1.137619050	-1.137619050	0.9545757250
--40	-50	1.86753406904433	-1.009805931	-1.203439846	1.009805931
--35	-50	1.86469834003054	-0.8814132360	-1.258788556	1.056249013
--30	-50	1.86223189509476	-0.7532388096	-1.304647888	1.094729562
--25	-50	1.86014712091967	-0.6257432046	-1.341910633	1.125996717
--20	-50	1.85844359033674	-0.4991285278	-1.371344360	1.150694546
--15	-50	1.85711842437592	-0.3734088755	-1.393580895	1.169353215
--10	-50	1.85616663088267	-0.2484640391	-1.409109588	1.182383336
--5	-50	1.85558502016953	-0.1240833268	-1.418278915	1.190077314
--2.84217e-14	-50	1.85537111100264	-4.571238925e-16	-1.421296730	1.192609562
-5	-50	1.85552654424953	0.1240794165	-1.418234220	1.190039811
-10	-50	1.85605434439155	0.2484490086	-1.409024346	1.182311809
-15	-50	1.85696137828035	0.3733772984	-1.393463048	1.169254330
-20	-50	1.85825655289431	0.4990782945	-1.371206345	1.150578738
-25	-50	1.85994728308151	0.6256759803	-1.341766470	1.125875750
-30	-50	1.86204257587574	0.7531622334	-1.304515255	1.094618269
-35	-50	1.86454470557083	0.8813406154	-1.258684843	1.056161988
-40	-50	1.86744356203525	1.009756992	-1.203381523	1.009756992
-45	-50	1.87071349794552	1.137619045	-1.137619045	0.9545757212
-
--45	-45	1.86338394555663	-1.075825223	-1.075825223	1.075825223
--40	-45	1.85977391316378	-0.9489935399	-1.130966460	1.130966460
--35	-45	1.85663469946765	-0.8238122214	-1.176525782	1.176525782
--30	-45	1.85396384253086	-0.7007324667	-1.213704235	1.213704235
--25	-45	1.85174823083359	-0.5798668349	-1.243528440	1.243528440
--20	-45	1.84996697044809	-0.4610923709	-1.266840877	1.266840877
--15	-45	1.84860052653628	-0.3441295361	-1.284308913	1.284308913
--10	-45	1.84763131917859	-0.2285963931	-1.296434568	1.296434568
--5	-45	1.84704675662845	-0.1140473527	-1.303567206	1.303567206
--2.84217e-14	-45	1.84683872961116	-4.200133941e-16	-1.305912189	1.305912189
-5	-45	1.84700629893139	0.1140448546	-1.303538653	1.303538653
-10	-45	1.84755321749972	0.2285867301	-1.296379767	1.296379767
-15	-45	1.84849073240262	0.3441090972	-1.284232634	1.284232634
-20	-45	1.84983466828681	0.4610593955	-1.266750278	1.266750278
-25	-45	1.85160530746902	0.5798220791	-1.243432461	1.243432461
-30	-45	1.85382654784228	0.7006805742	-1.213614354	1.213614354
-35	-45	1.85652064584435	0.8237616144	-1.176453508	1.176453508
-40	-45	1.85970535375829	0.9489585558	-1.130924768	1.130924768
-45	-45	1.86338397861648	1.075825242	-1.075825242	1.075825242
-
-
diff --git a/test/recoverML.par b/test/recoverML.par
index 54f0c79..2ecf9a3 100644
--- a/test/recoverML.par
+++ b/test/recoverML.par
@@ -43,38 +43,39 @@ CoordBase::boundary_size_z_upper = 3
 CoordBase::boundary_shiftout_x_lower = 1
 CoordBase::boundary_shiftout_z_lower = 1
 
-ActiveThorns = "ADMBase ADMCoupling StaticConformal CoordGauge SpaceMask Exact ADMMacros ML_BSSN_O2 ML_BSSN_O2_Helper GenericFD TmunuBase NewRad MoL"
+ActiveThorns = "ADMBase ADMCoupling StaticConformal CoordGauge SpaceMask Exact ADMMacros ML_BSSN ML_BSSN_Helper GenericFD TmunuBase NewRad MoL"
 ADMBase::initial_lapse = "exact"
 ADMBase::initial_shift = "exact"
 ADMBase::initial_data = "exact"
-ADMBase::lapse_evolution_method = "ML_BSSN_O2"
-ADMBase::dtlapse_evolution_method = "ML_BSSN_O2"
+ADMBase::lapse_evolution_method = "ML_BSSN"
+ADMBase::dtlapse_evolution_method = "ML_BSSN"
 ADMBase::shift_evolution_method = "static"
 ADMBase::metric_type = "physical"
-ADMBase::evolution_method = ML_BSSN_O2
+ADMBase::evolution_method = ML_BSSN
 Exact::exact_model = "Kerr/Kerr-Schild"
 Exact::Kerr_KerrSchild__mass = 1.0
 Exact::Kerr_KerrSchild__spin = 0.6
 
-ML_BSSN_O2::my_initial_boundary_condition = "extrapolate-gammas"
-ML_BSSN_O2::my_rhs_boundary_condition     = "NewRad"
+ML_BSSN::my_initial_boundary_condition = "extrapolate-gammas"
+ML_BSSN::my_rhs_boundary_condition     = "NewRad"
 # These are necessary
-ML_BSSN_O2::ML_log_confac_bound = "none"
-ML_BSSN_O2::ML_metric_bound     = "none"
-ML_BSSN_O2::ML_Gamma_bound      = "none"
-ML_BSSN_O2::ML_trace_curv_bound = "none"
-ML_BSSN_O2::ML_curv_bound       = "none"
-ML_BSSN_O2::ML_lapse_bound      = "none"
-ML_BSSN_O2::ML_dtlapse_bound    = "none"
-ML_BSSN_O2::ML_shift_bound      = "none"
-ML_BSSN_O2::ML_dtshift_bound    = "none"
-
-ML_BSSN_O2::harmonicN = 1   # 1+log
-ML_BSSN_O2::LapseAdvectionCoeff = 1
+ML_BSSN::ML_log_confac_bound = "none"
+ML_BSSN::ML_metric_bound     = "none"
+ML_BSSN::ML_Gamma_bound      = "none"
+ML_BSSN::ML_trace_curv_bound = "none"
+ML_BSSN::ML_curv_bound       = "none"
+ML_BSSN::ML_lapse_bound      = "none"
+ML_BSSN::ML_dtlapse_bound    = "none"
+ML_BSSN::ML_shift_bound      = "none"
+ML_BSSN::ML_dtshift_bound    = "none"
+
+ML_BSSN::harmonicN = 1   # 1+log
+ML_BSSN::LapseAdvectionCoeff = 1
 
 # the default of 3 fails in Recovery since Carpet tries to time-interpolate the
 # third timelevel for which is had allocated no metadata, see Carpet issue #626
-ML_BSSN_O2::timelevels = 2 # unigrid run
+ML_BSSN::timelevels = 2 # unigrid run
+ML_BSSN::fdOrder    = 2
 
 
 ActiveThorns = "Time"
@@ -86,7 +87,7 @@ NoExcision::radius[0] = 1.01
 
 ActiveThorns = "CarpetIOASCII"
 IOASCII::out1D_every = 1
-IOASCII::out1D_vars  = "ML_BSSN_O2::phi"
+IOASCII::out1D_vars  = "ML_BSSN::phi"
 
 IOASCII::out1D_xline_yi = 15
 IOASCII::out1D_xline_zi = 3
diff --git a/test/test.ccl b/test/test.ccl
index 641203a..0ca0edb 100644
--- a/test/test.ccl
+++ b/test/test.ccl
@@ -6,21 +6,6 @@ EXTENSIONS gp xg asc
 ABSTOL 1e-8
 RELTOL 1e-8
 
-TEST recover
-{
-  NPROCS 1
-}
-
-TEST recover2
-{
-  NPROCS 1
-}
-
-TEST checkpoint2
-{
-  NPROCS 1
-}
-
 TEST recoverML
 {
   NPROCS 1