update test suites for Carpet/Hg.

* use ReflectionSymmetry instead of the deprecated bitant symmetry
* set number of timelevels to minimum required by the prolongation order.
  Otherwise recovery fails inside CarpetLib.
* use CoordBase for domain description


git-svn-id: http://svn.einsteintoolkit.org/cactus/EinsteinAnalysis/AHFinderDirect/trunk@1559 f88db872-0e4f-0410-b76b-b9085cfa78c5

15 files changed, 7340 insertions, 3895 deletions

diff --git a/test/checkpointML.par b/test/checkpointML.par
index 1f6f264..557f7b1 100644
--- a/test/checkpointML.par
+++ b/test/checkpointML.par
@@ -12,21 +12,27 @@ IO::out_dir = $parfile
 IO::parfile_write = "no"
 
 ActiveThorns = "Carpet CarpetLib"
+carpet::domain_from_coordbase = "true"
 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 = "Boundary CartGrid3D CoordBase RotatingSymmetry180 Slab SymBase ReflectionSymmetry"
+grid::domain = "full"
+grid::avoid_origin  = "false"
+grid::type = "coordbase"
+CoordBase::domainsize = "minmax"
+CoordBase::spacing    = "numcells"
+CoordBase::xmin =  0.0
+CoordBase::ymin = -3.0
+CoordBase::zmin =  0.0
+CoordBase::xmax =  3.0
+CoordBase::ymax =  3.0
+CoordBase::zmax =  3.0
+CoordBase::ncells_x = 19
+CoordBase::ncells_y = 31
+CoordBase::ncells_z = 19
+
+ReflectionSymmetry::reflection_z   = "yes"
+ReflectionSymmetry::avoid_origin_z = "no"
 
 CoordBase::boundary_size_x_lower = 3
 CoordBase::boundary_size_y_lower = 3
@@ -34,6 +40,8 @@ CoordBase::boundary_size_z_lower = 3
 CoordBase::boundary_size_x_upper = 3
 CoordBase::boundary_size_y_upper = 3
 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"
 ADMBase::initial_lapse = "exact"
@@ -64,6 +72,10 @@ ML_BSSN_O2::ML_dtshift_bound    = "none"
 ML_BSSN_O2::harmonicN = 1   # 1+log
 ML_BSSN_O2::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
+
 
 ActiveThorns = "Time"
 Time::dtfac = 0.25
diff --git a/test/checkpointML/BH_diagnostics.ah1.gp b/test/checkpointML/BH_diagnostics.ah1.gp
index 35fecca..159fd38 100644
--- a/test/checkpointML/BH_diagnostics.ah1.gp
+++ b/test/checkpointML/BH_diagnostics.ah1.gp
@@ -40,5 +40,5 @@
 # column 38 = minimum  of the mean curvature
 # column 39 = maximum  of the mean curvature
 # column 40 = integral of the mean curvature
-0	0.000	0.000039	0.000009	0.000000	1.037097566	2.757422563	1.996522207	1.199884630	5.608259904e-06	0.000000000	1.199898683	-0.000000000	1.079940971	-1.896292631	1.896685600	-1.896795776	1.896404235	-1.799352046	1.799352046	12.56580448	10.83709549	11.22743052	0.8624275118	0.8934907859	45.23550422	0.9486473330	1.897294666	-2.321960643e-15	-1.470552981	3.482479992e-15	0.7352764906	0.000000000	0.000000000	0.000000000	0.000000000	0.000000000	0.7071576096	0.7479030617	33.19249532
-1	0.050	0.000040	0.000010	0.000000	1.036818938	2.757142124	1.996278316	1.199554582	5.605404179e-06	0.000000000	1.199568553	-0.000000000	1.079624797	-1.896076949	1.896472792	-1.896583218	1.896196977	-1.799123529	1.799123529	12.56660294	10.83701188	11.22758465	0.8623660611	0.8934462802	45.23557031	0.9486480260	1.897296052	1.115273995e-15	-1.469875643	-1.650491279e-15	0.7349378217	0.000000000	0.000000000	0.000000000	0.000000000	0.000000000	0.7069445463	0.7477415823	33.17759896
+0	0.000	-0.000013	0.000006	-0.000000	1.037135884	2.757513903	1.996587229	1.199991738	4.782791087e-06	-9.826110669e-18	1.199964130	-5.791800928e-16	1.079988034	-1.896499970	1.896708868	-1.896868468	1.896462442	-1.799386396	1.799386396	12.56628516	10.83751875	11.22768504	0.8624282043	0.8934768623	45.23820758	0.9486756791	1.897351358	-1.554363491e-15	-1.469619091	2.328815622e-15	0.7348095454	0.000000000	0.000000000	0.000000000	0.000000000	0.000000000	0.7071370360	0.7477874670	33.19280488
+1	0.039	-0.000012	0.000006	-0.000000	1.036975219	2.757353313	1.996428867	1.199743236	-1.570762805e-05	2.650327282e-16	1.199817836	4.712138528e-16	1.079749604	-1.896325177	1.896534332	-1.896791361	1.896388032	-1.799210554	1.799210554	12.56685856	10.83725895	11.22783347	0.8623681806	0.8934479067	45.23789492	0.9486724008	1.897344802	6.185674728e-16	-1.469213355	-9.275482797e-16	0.7346066777	0.000000000	0.000000000	0.000000000	0.000000000	0.000000000	0.7069973735	0.7478147961	33.18349746
diff --git a/test/checkpointML/checkpoint.chkpt.it_1.h5 b/test/checkpointML/checkpoint.chkpt.it_1.h5
index 3cd211d..62e1a81 100644
--- a/test/checkpointML/checkpoint.chkpt.it_1.h5
+++ b/test/checkpointML/checkpoint.chkpt.it_1.h5
diff --git a/test/checkpointML/h.t0.ah1.gp b/test/checkpointML/h.t0.ah1.gp
index daea0e7..2b7d7fe 100644
--- a/test/checkpointML/h.t0.ah1.gp
+++ b/test/checkpointML/h.t0.ah1.gp
@@ -1,4 +1,4 @@
-# N_patches = 5
+# N_patches = 6
 # origin = 0.5 0.7 0
 
 ### +z patch
@@ -9,1220 +9,2329 @@
 # dpy = drho = dmu
 #
 # dpx	dpy	gridfn	global_x	global_y	global_z
--45	-45	2.45802491541018	-0.9191413466	-0.7191413466	1.419141347
--40	-45	2.43566686790706	-0.7428565142	-0.7811787159	1.481178716
--35	-45	2.40997252826312	-0.5693351916	-0.8271689224	1.527168922
--30	-45	2.38174996935550	-0.4002168720	-0.8592213601	1.559221360
--25	-45	2.35157185757260	-0.2363844109	-0.8791814653	1.579181465
--20	-45	2.31982361755605	-0.07820111873	-0.8885945176	1.588594518
--15	-45	2.28674421913654	0.07430704142	-0.8887077498	1.588707750
--10	-45	2.25246249014905	0.2213162628	-0.8804940120	1.580494012
--5	-45	2.21702372783190	0.3631081286	-0.8646812495	1.564681250
-0	-45	2.18040227472808	0.5000000000	-0.8417772342	1.541777234
-5	-45	2.14252016761382	0.6322915905	-0.8120997989	1.512099799
-10	-45	2.10326112402331	0.7602239428	-0.7758033161	1.475803316
-15	-45	2.06247121752255	0.8839430170	-0.7328948466	1.432894847
-20	-45	2.01997840284031	1.003466627	-0.6832631896	1.383263190
-25	-45	1.97559549092000	1.118649061	-0.6266971928	1.326697193
-30	-45	1.92913141375350	1.229143138	-0.5629129613	1.262912961
-35	-45	1.88040827844769	1.334360858	-0.4915907964	1.191590796
-40	-45	1.82928915791395	1.433437974	-0.4124280588	1.112428059
-45	-45	1.77570740038163	1.525205146	-0.3252051456	1.025205146
-
--45	-40	2.41005340452878	-0.9656026462	-0.5297866399	1.465602646
--40	-40	2.38611257678522	-0.7902097326	-0.5902097326	1.537612084
--35	-40	2.35869482025579	-0.6149175122	-0.6360708393	1.592267223
--30	-40	2.32859130174834	-0.4418726770	-0.6688830820	1.631371331
--25	-40	2.29638956342793	-0.2724927498	-0.6900659149	1.656616048
--20	-40	2.26251014598771	-0.1076500595	-0.7008808766	1.669504817
--15	-40	2.22723898480568	0.05217136730	-0.7024033330	1.671319210
--10	-40	2.19075749770024	0.2067480648	-0.6955186535	1.663114369
--5	-40	2.15316625893404	0.3560173586	-0.6809306990	1.645729122
-0	-40	2.11449634365490	0.5000000000	-0.6591720504	1.619798174
-5	-40	2.07473269944684	0.6387377742	-0.6306274260	1.585780015
-10	-40	2.03382775453793	0.7722455249	-0.5955539682	1.543981096
-15	-40	1.99170255653833	0.9004695674	-0.5540954620	1.494572772
-20	-40	1.94826982564324	1.023253466	-0.5063123544	1.437627082
-25	-40	1.90344272647098	1.140307607	-0.4522047031	1.373144094
-30	-40	1.85714504589289	1.251181272	-0.3917392125	1.301084129
-35	-40	1.80932865447077	1.355240867	-0.3248851327	1.221410539
-40	-40	1.75999245997749	1.451656440	-0.2516564404	1.134139982
-45	-40	1.70921492304833	1.539408467	-0.1721672611	1.039408467
-
--45	-35	2.36085351224642	-0.9960428270	-0.3475404650	1.496042827
--40	-35	2.33480180387225	-0.8225367601	-0.4036236635	1.576137935
--35	-35	2.30528441768428	-0.6469776920	-0.4469776920	1.638053905
--30	-35	2.27306037927457	-0.4718129980	-0.4786099760	1.683229488
--25	-35	2.23872303247796	-0.2988456515	-0.4995465595	1.713130028
--20	-35	2.20272058635136	-0.1293575875	-0.5107608961	1.729145760
--15	-35	2.16538018313161	0.03576920052	-0.5131326178	1.732532930
--10	-35	2.12693205299529	0.1959442094	-0.5074281303	1.724386078
--5	-35	2.08752870158273	0.3507768087	-0.4942942004	1.705628882
-0	-35	2.04725692616592	0.5000000000	-0.4742583320	1.677014696
-5	-35	2.00616208978232	0.6434068471	-0.4477436200	1.639147763
-10	-35	1.96426165761216	0.7808012275	-0.4150825327	1.592502896
-15	-35	1.92154953637609	0.9119565167	-0.3765289336	1.537442651
-20	-35	1.87801259373983	1.036582571	-0.3322799111	1.474248497
-25	-35	1.83364498296943	1.154301269	-0.2824987275	1.403153599
-30	-35	1.78845681309139	1.264627985	-0.2273370214	1.324374519
-35	-35	1.74249168521894	1.366964213	-0.1669642132	1.238153213
-40	-35	1.69583124417090	1.460595094	-0.1015924466	1.144792655
-45	-35	1.64862495541345	1.544712654	-0.03151567574	1.044712654
-
--45	-30	2.31111867641322	-1.012982325	-0.1735207526	1.512982325
--40	-30	2.28252552764224	-0.8418029074	-0.2232399122	1.599098436
--35	-30	2.25059165347868	-0.6669596632	-0.2622068300	1.666591117
--30	-30	2.21604817852541	-0.4910468737	-0.2910468737	1.716543538
--25	-30	2.17949211264309	-0.3161186281	-0.3104623019	1.750172046
--20	-30	2.14139558347398	-0.1437604274	-0.3211693734	1.768717238
--15	-30	2.10212280112053	0.02482644102	-0.3238567234	1.773371865
--10	-30	2.06194865794217	0.1887410431	-0.3191602094	1.765237264
--5	-30	2.02107320712493	0.3473061849	-0.3076484391	1.745298293
-0	-30	1.97963522423739	0.5000000000	-0.2898176121	1.714414394
-5	-30	1.93773430063256	0.6463974892	-0.2660980793	1.673330958
-10	-30	1.89544350396440	0.7861243735	-0.2368616386	1.622691958
-15	-30	1.85281477338402	0.9188188195	-0.2024291358	1.563053114
-20	-30	1.80989528776506	1.044102628	-0.1630865083	1.494909684
-25	-30	1.76673521602827	1.161560330	-0.1190987812	1.418720706
-30	-30	1.72339800308375	1.270727017	-0.07072701744	1.334938353
-35	-30	1.67997641668163	1.371088591	-0.01824881245	1.244043436
-40	-30	1.63659063295399	1.462084342	0.03802896223	1.146567471
-45	-30	1.59340577622158	1.543128940	0.09774922550	1.043128940
-
--45	-25	2.26127842341922	-1.018545548	-0.008109418099	1.518545548
--40	-25	2.22982313836662	-0.8497714805	-0.05010017256	1.608595011
--35	-25	2.19524341573837	-0.6762494281	-0.08333077881	1.679858276
--30	-25	2.15825168775618	-0.5006147560	-0.1081650749	1.733115596
--25	-25	2.11944972476260	-0.3250628237	-0.1250628237	1.769352935
--20	-25	2.07933149491128	-0.1513824305	-0.1345314730	1.789658519
--15	-25	2.03829442614664	0.01899172182	-0.1370909489	1.795147333
--10	-25	1.99665298268499	0.1849197588	-0.1332492782	1.786908844
--5	-25	1.95464905190999	0.3454975680	-0.1234857446	1.765970878
-0	-25	1.91246573048640	0.5000000000	-0.1082429427	1.733282584
-5	-25	1.87024672109916	0.6478309707	-0.08792738383	1.689715727
-10	-25	1.82810730036886	0.7884830234	-0.06291128288	1.636068526
-15	-25	1.78613945097356	0.9215033171	-0.03353542487	1.573071795
-20	-25	1.74442865742023	1.046468988	-0.0001195435150	1.501411206
-25	-25	1.70305789090900	1.162969136	0.03703086419	1.421741900
-30	-25	1.66211356767413	1.270593797	0.07761562120	1.334707608
-35	-25	1.62170139562331	1.368935684	0.1213267612	1.240968765
-40	-25	1.58194143376140	1.457591387	0.1678436500	1.141212975
-45	-25	1.54298198949253	1.536178653	0.2168219590	1.036178653
-
--45	-20	2.21156658873575	-1.014461070	0.1487812495	1.514461070
--40	-20	2.17703975753386	-0.8479600829	0.1153050140	1.606436271
--35	-20	2.13968396926640	-0.6761118029	0.08865312773	1.679661727
--30	-20	2.10020042749190	-0.5015245997	0.06862393135	1.734691492
--25	-20	2.05919703656165	-0.3264505878	0.05492499688	1.772329005
--20	-20	2.01718711169780	-0.1527931713	0.04720682869	1.793534498
--15	-20	1.97459609756646	0.01786507241	0.04508941434	1.799352046
--10	-20	1.93177089778183	0.1842241116	0.04818243015	1.790854055
--5	-20	1.88898692780515	0.3452239299	0.05610077682	1.769098576
-0	-20	1.84646065738847	0.5000000000	0.06847326131	1.735105454
-5	-20	1.80436674017337	0.6478426287	0.08494527134	1.689848979
-10	-20	1.76284706422220	0.7881628450	0.1051806605	1.634252704
-15	-20	1.72201519105634	0.9204625293	0.1288624501	1.569187522
-20	-20	1.68197248340480	1.044312496	0.1556875041	1.495486292
-25	-20	1.64280980669343	1.159335220	0.1853646726	1.413948941
-30	-20	1.60461506990364	1.265194333	0.2176100618	1.325355463
-35	-20	1.56748122539946	1.361591336	0.2521419246	1.230479949
-40	-20	1.53150384368679	1.448262907	0.2886787940	1.130095726
-45	-20	1.49679255949083	1.524990192	0.3269340799	1.024990192
-
--45	-15	2.16207740272311	-1.002095904	0.2975146155	1.502095904
--40	-15	2.12437778567258	-0.8376357488	0.2728535619	1.594132209
--35	-15	2.08421562245781	-0.6676609835	0.2531698811	1.667592706
--30	-15	2.04228691595548	-0.4947131484	0.2383520212	1.722893712
--25	-15	1.99920507751221	-0.3210376548	0.2282162480	1.760720933
--20	-15	1.95549787462979	-0.1485763139	0.2225282642	1.781948777
--15	-15	1.91161073123478	0.02102144913	0.2210214491	1.787572288
--10	-15	1.86791278182323	0.1863757293	0.2234117336	1.778651625
--5	-15	1.82470146586585	0.3463466160	0.2294098857	1.756266216
-0	-15	1.78221286576185	0.5000000000	0.2387293679	1.721485435
-5	-15	1.74063755724414	0.6465745800	0.2510899496	1.675355116
-10	-15	1.70012794068079	0.7854530419	0.2662211663	1.618884647
-15	-15	1.66080203829891	0.9161352207	0.2838647793	1.553037787
-20	-15	1.62275812933930	1.038217146	0.3037729568	1.478739456
-25	-15	1.58607648383277	1.151373154	0.3257086765	1.396874236
-30	-15	1.55082772507949	1.255343785	0.3494437294	1.308293813
-35	-15	1.51707679410158	1.349927120	0.3747574498	1.213821722
-40	-15	1.48488443751368	1.434972357	0.4014358262	1.114256666
-45	-15	1.45431494251057	1.510380348	0.4292694017	1.010380348
-
--45	-10	2.11281183753420	-0.9825048019	0.4385944044	1.482504802
--40	-10	2.07193731725770	-0.8198298662	0.4226531788	1.572911985
--35	-10	2.02903354329761	-0.6518525822	0.4099393009	1.645015969
--30	-10	1.98479506451797	-0.4810254711	0.4003876701	1.699185959
--25	-10	1.93983669833108	-0.3095385341	0.3938856075	1.736060989
--20	-10	1.89469188001481	-0.1393063785	0.3902852133	1.756479839
--15	-10	1.84981417185223	0.02802950012	0.3894145025	1.761417885
--10	-10	1.80558115033704	0.1910869673	0.3910869673	1.751932866
--5	-10	1.76229755392766	0.3487217649	0.3951098191	1.729118140
-0	-10	1.72020319345734	0.5000000000	0.4012898502	1.694069442
-5	-10	1.67948898323901	0.6441698246	0.4094362988	1.647868636
-10	-10	1.64030263780472	0.7806358840	0.4193641160	1.591565187
-15	-10	1.60275167184531	0.9089337833	0.4308965231	1.526161656
-20	-10	1.56691771744944	1.028708917	0.4438646401	1.452615810
-25	-10	1.53285891335843	1.139697331	0.4581084143	1.371835352
-30	-10	1.50061912778663	1.241711632	0.4734758610	1.284682231
-35	-10	1.47022842843216	1.334627115	0.4898233436	1.191971050
-40	-10	1.44171002941606	1.418373321	0.5070145798	1.094474705
-45	-10	1.41508331088610	1.492926945	0.5249201897	0.9929269451
-
--45	-5	2.06370460308269	-0.9564751186	0.5725749384	1.456475119
--40	-5	2.01974295969396	-0.7953598198	0.5649394003	1.543749719
--35	-5	1.97425177863687	-0.6294874401	0.5588742034	1.613075236
--30	-5	1.92792326701213	-0.4612065827	0.5543437428	1.664858638
--25	-5	1.88136535222976	-0.2926116182	0.5512901730	1.699761100
--20	-5	1.83510417407019	-0.1255322018	0.5496388683	1.718635600
--15	-5	1.78958547344930	0.03846629260	0.5493036427	1.722467245
--10	-5	1.74517808810278	0.1980716101	0.5501913252	1.712320988
--5	-5	1.70217687955302	0.3522057794	0.5522057794	1.689295672
-0	-5	1.66080844217446	0.5000000000	0.5552510067	1.654488565
-5	-5	1.62124864394859	0.6407674976	0.5592325024	1.608979860
-10	-5	1.58362736025910	0.7739789494	0.5640590792	1.553811835
-15	-5	1.54802926981780	0.8992364146	0.5696444649	1.489970584
-20	-5	1.51451249702377	1.016252075	0.5759068743	1.418390918
-25	-5	1.48310774248902	1.124827297	0.5827698748	1.339946463
-30	-5	1.45382961192074	1.224837247	0.5901619253	1.255454939
-35	-5	1.42667455318436	1.316213518	0.5980167652	1.165673708
-40	-5	1.40163345479204	1.398936001	0.6062725016	1.071310209
-45	-5	1.37868833605128	1.473019712	0.6148718058	0.9730197117
-
--45	0	2.01464292282059	-0.9245676724	0.7000000000	1.424567672
--40	0	1.96776539192310	-0.7648552127	0.7000000000	1.507395744
--35	0	1.91992712907939	-0.6012249608	0.7000000000	1.572712233
--30	0	1.87180766531331	-0.4359038327	0.7000000000	1.621032989
--25	0	1.82399671906824	-0.2708543228	0.7000000000	1.653102430
--20	0	1.77699552511043	-0.1077682642	0.7000000000	1.669829582
--15	0	1.73122221913775	0.05192671838	0.7000000000	1.672232253
--10	0	1.68701716495269	0.2070525436	0.7000000000	1.661387584
--5	0	1.64464677343897	0.3566595889	0.7000000000	1.638388396
-0	0	1.60430838752383	0.5000000000	0.7000000000	1.604308388
-5	0	1.56614945112161	0.6364989187	0.7000000000	1.560189780
-10	0	1.53026952290189	0.7657285140	0.7000000000	1.507021290
-15	0	1.49672516556795	0.8873809781	0.7000000000	1.445725492
-20	0	1.46554799873359	1.001246937	0.7000000000	1.377164640
-25	0	1.43674120159085	1.107193069	0.7000000000	1.302129739
-30	0	1.41029341722479	1.205146709	0.7000000000	1.221349926
-35	0	1.38617489335603	1.295077255	0.7000000000	1.135487998
-40	0	1.36435276830755	1.376989055	0.7000000000	1.045154857
-45	0	1.34478421465557	1.450906037	0.7000000000	0.9509060374
-
--45	5	1.96549251481015	-0.8871611952	0.8213608791	1.387161195
--40	5	1.91595020421023	-0.7287924557	0.8281199582	1.464417824
--35	5	1.86608704145947	-0.5676054079	0.8333938371	1.524698535
--30	5	1.81655041586082	-0.4056793117	0.8372419427	1.568682583
--25	5	1.76789436155300	-0.2448067485	0.8397406752	1.597243227
--20	5	1.72057534581025	-0.08649274502	0.8409770954	1.611375574
--15	5	1.67496152040813	0.06802778535	0.8410441711	1.612142253
--10	5	1.63134378397227	0.2177657653	0.8400369693	1.600629884
--5	5	1.58994200772637	0.3619507510	0.8380492490	1.577910136
-0	5	1.55090912584251	0.5000000000	0.8351706368	1.545007448
-5	5	1.51435135530703	0.6314859701	0.8314859701	1.502891515
-10	5	1.48033195298396	0.7561080993	0.8270738899	1.452461207
-15	5	1.44887750701681	0.8736651964	0.8220062219	1.394537498
-20	5	1.41999336675014	0.9840333262	0.8163486044	1.329870634
-25	5	1.39365993271242	1.087143296	0.8101598513	1.259132862
-30	5	1.36984685368235	1.182965881	0.8034931053	1.182931606
-35	5	1.34851083692360	1.271495343	0.7963958438	1.101809536
-40	5	1.32960573777489	1.352741108	0.7889109911	1.016257279
-45	5	1.31307830038280	1.426714933	0.7810770510	0.9267149332
-
--45	10	1.91610181103449	-0.8444785216	0.9370678383	1.344478522
--40	10	1.86422641479840	-0.6875174404	0.9495429113	1.415228176
--35	10	1.81273760911646	-0.5290645529	0.9591400916	1.469656490
--30	10	1.76222896143945	-0.3710176320	0.9660151340	1.508646793
--25	10	1.71319088585760	-0.2149540163	0.9703487297	1.533223836
--20	10	1.66601265739258	-0.06214550231	0.9723338609	1.544482074
--15	10	1.62099034321634	0.08641271419	0.9721657666	1.543528764
--10	10	1.57834495690013	0.2299643236	0.9700356764	1.531448422
--5	10	1.53823239514280	0.3679558503	0.9661252932	1.509271537
-0	10	1.50074904987410	0.5000000000	0.9606023376	1.477949300
-5	10	1.46595271002001	0.6258395543	0.9536203866	1.438352688
-10	10	1.43386690223703	0.7453172338	0.9453172338	1.391263168
-15	10	1.40448862411379	0.8583479941	0.9358149292	1.337372921
-20	10	1.37779956986654	0.9648967268	0.9252212639	1.277293259
-25	10	1.35376566366797	1.064957592	0.9136299174	1.211555467
-30	10	1.33234722133202	1.158539808	0.9011228576	1.140624406
-35	10	1.31350059332297	1.245655021	0.8877716126	1.064905733
-40	10	1.29717895405747	1.326306622	0.8736386793	0.9847538852
-45	10	1.28333519369919	1.400482737	0.8587794023	0.9004827374
-
--45	15	1.86631504815478	-0.7966160167	1.047427215	1.296616017
--40	15	1.81252125919425	-0.6412721636	1.064441770	1.360115201
--35	15	1.75988009415302	-0.4859552435	1.077296583	1.408090016
--30	15	1.70890482299598	-0.3323365750	1.086288749	1.441649237
--25	15	1.65999260622770	-0.1817291791	1.091734469	1.461972943
--20	15	1.61343874743324	-0.03512620445	1.093951540	1.470247163
--15	15	1.56944650662489	0.1067550777	1.093244922	1.467610030
--10	15	1.52814874826010	0.2434224224	1.089899234	1.455123751
--5	15	1.48962451680811	0.3745625779	1.084173841	1.433756295
-0	15	1.45390540994569	0.5000000000	1.076298410	1.404364784
-5	15	1.42099669512405	0.6196584510	1.066474741	1.367702353
-10	15	1.39088130563042	0.7335302480	1.054876157	1.324415850
-15	15	1.36352869005764	0.8416495761	1.041649576	1.275053576
-20	15	1.33890250256376	0.9440712828	1.026918331	1.220075822
-25	15	1.31696301963241	1.040853083	1.010784402	1.159863179
-30	15	1.29767279734285	1.132042532	0.9933319600	1.094729778
-35	15	1.28099818003529	1.217666435	0.9746302076	1.024933888
-40	15	1.26690647699558	1.297720352	0.9547355714	0.9506860948
-45	15	1.25537303714131	1.372166137	0.9336962122	0.8721661375
-
--45	20	1.81598254682205	-0.7435686473	1.152621972	1.243568647
--40	20	1.76077533116352	-0.5902211836	1.172897431	1.299275012
--35	20	1.70753040560011	-0.4385716268	1.187872690	1.340419198
--30	20	1.65664855153437	-0.2900075896	1.198032586	1.368333284
--25	20	1.60840386405202	-0.1455265306	1.203857139	1.384336112
--20	20	1.56297071929172	-0.005801671342	1.205801671	1.389678671
--15	20	1.52044248695380	0.1287552532	1.204282309	1.385504257
--10	20	1.48085026217336	0.2579336102	1.199668061	1.372826715
--5	20	1.44418794404399	0.3816689882	1.192280535	1.352529654
-0	20	1.41041847464885	0.5000000000	1.182391529	1.325359833
-5	20	1.37949345630886	0.6130302030	1.170228116	1.291941132
-10	20	1.35135692012239	0.7208988304	1.155974456	1.252779521
-15	20	1.32595520899887	0.8237570050	1.139777078	1.208277592
-20	20	1.30323976899844	0.9217486900	1.121748690	1.158745002
-25	20	1.28317409378876	1.014996848	1.101973933	1.104414305
-30	20	1.26573104523421	1.103590382	1.080512393	1.045449209
-35	20	1.25089767350986	1.187576081	1.057404360	0.9819604095
-40	20	1.23867093282926	1.266949233	1.032674073	0.9140145043
-45	20	1.22906171383008	1.341650497	1.006335729	0.8416504969
-
--45	25	1.76497038685318	-0.6852533924	1.252692734	1.185253392
--40	25	1.70894808963212	-0.5344719065	1.274880687	1.232835611
--35	25	1.65572055838788	-0.3871637405	1.290812329	1.267001128
--30	25	1.60553865274957	-0.2443643743	1.301199699	1.289276916
--25	25	1.55852487790197	-0.1067050903	1.306705090	1.301083265
--20	25	1.51471019127134	0.02549383861	1.307922946	1.303694964
--15	25	1.47406349890287	0.1521421359	1.305371431	1.298223223
--10	25	1.43650842899737	0.2733129261	1.299488054	1.285606281
--5	25	1.40195112459287	0.3891847833	1.290636342	1.266623723
-0	25	1.37028672404754	0.5000000000	1.279108193	1.241901528
-5	25	1.34141607004415	0.6060303101	1.265133168	1.211931990
-10	25	1.31524826594143	0.7075517100	1.248883395	1.177084240
-15	25	1.29171151668091	0.8048254092	1.230482743	1.137623915
-20	25	1.27075135374730	0.8980823199	1.210011031	1.093722185
-25	25	1.25233822674601	0.9875122545	1.187512254	1.045473404
-30	25	1.23646252483959	1.073252255	1.162997821	0.9929020318
-35	25	1.22313988746785	1.155379528	1.136454160	0.9359789662
-40	25	1.21240920948003	1.233903665	1.107847753	0.8746323295
-45	25	1.20432809135463	1.308758020	1.077130058	0.8087580203
-
--45	30	1.71317783970813	-0.6215381613	1.347520359	1.121538161
--40	30	1.65703630777108	-0.4741035132	1.370240940	1.160891361
--35	30	1.60451783952488	-0.3319623841	1.385987625	1.188165421
--30	30	1.55567897602501	-0.1957207883	1.395720788	1.205023753
--25	30	1.51046713150562	-0.06559982761	1.400287047	1.212932745
--20	30	1.46875523648884	0.05845313863	1.400406724	1.213140031
--15	30	1.43038059831984	0.1766701549	1.396678991	1.206683409
--10	30	1.39516119086086	0.2893951358	1.389586894	1.194399537
--5	30	1.36291874507603	0.3970303193	1.379511727	1.176948836
-0	30	1.33348648478361	0.5000000000	1.366743242	1.154833171
-5	30	1.30672058219944	0.5987238613	1.351492955	1.128418898
-10	30	1.28250132899107	0.6935984315	1.333902458	1.097951265
-15	30	1.26074231050230	0.7849840220	1.314055226	1.063574850
-20	30	1.24138660560911	0.8731938078	1.291981226	1.025341560
-25	30	1.22441433707176	0.9584863341	1.267666440	0.9832271165
-30	30	1.20983865128289	1.041056293	1.241056293	0.9371369896
-35	30	1.19770914766926	1.121027036	1.212062648	0.8869185235
-40	30	1.18811037053096	1.198441235	1.180568958	0.8323698516
-45	30	1.18115700051789	1.273248766	1.146435383	0.7732487661
-
--45	35	1.66055548812803	-0.5522728810	1.436809404	1.052272881
--40	35	1.60508878442292	-0.4091944837	1.458699930	1.083535792
--35	35	1.55402628492269	-0.2731946080	1.473194608	1.104236338
--30	35	1.50719528132868	-0.1443788200	1.481499432	1.116096856
--25	35	1.46434685010710	-0.02252426784	1.484622394	1.120556909
--20	35	1.42519422639824	0.09279592445	1.483380992	1.118784003
--15	35	1.38944512860599	0.2021201044	1.478422754	1.111702905
--10	35	1.35682123544312	0.3060354806	1.470247515	1.100027453
--5	35	1.32706972183983	0.4051368353	1.459228686	1.084290934
-0	35	1.29997162420733	0.5000000000	1.445633092	1.064874413
-5	35	1.27534670476228	0.5911658389	1.429637476	1.042030307
-10	35	1.25305274000674	0.6791302835	1.411339662	1.015898320
-15	35	1.23299193925225	0.7643382618	1.390771418	0.9865238234
-20	35	1.21510722379384	0.8471783737	1.367903283	0.9538647423
-25	35	1.19938882440678	0.9279790456	1.342653297	0.9178040251
-30	35	1.18587225862749	1.007001963	1.314889462	0.8781531599
-35	35	1.17463915770229	1.084433270	1.284433270	0.8346572093
-40	35	1.16582121640343	1.160373575	1.251065140	0.7870025806
-45	35	1.15959713314728	1.234821947	1.214527866	0.7348219465
-
--45	40	1.60711921797504	-0.4773219856	1.520070518	0.9773219856
--40	40	1.55322178648444	-0.3398521869	1.539852187	1.000896861
--35	40	1.50440667654622	-0.2111090993	1.552163609	1.015569043
--30	40	1.46025137395837	-0.09064502629	1.558421742	1.023027195
--25	40	1.42030356845027	0.02221773402	1.559747671	1.024607376
--20	40	1.38412525340708	0.1282607642	1.557010344	1.021345156
--15	40	1.35130887756071	0.2282937255	1.550865168	1.014021621
--10	40	1.32149544426954	0.3231063471	1.541796294	1.003213758
--5	40	1.29437342004751	0.4134450007	1.530144901	0.9893281686
-0	40	1.26968500928296	0.5000000000	1.516137792	0.9726351459
-5	40	1.24722385150274	0.5834020986	1.499905580	0.9532903487
-10	40	1.22683225615647	0.6642221623	1.481495579	0.9313501634
-15	40	1.20840517282182	0.7429727748	1.460884419	0.9067867404
-20	40	1.19188600077170	0.8201088846	1.437981356	0.8794919323
-25	40	1.17727048268603	0.8960272799	1.412633256	0.8492832425
-30	40	1.16461027221053	0.9710635971	1.384626494	0.8159060837
-35	40	1.15401398645612	1.045484050	1.353685429	0.7790319584
-40	40	1.14565444348075	1.119473921	1.319473921	0.7382602705
-45	40	1.13977339952324	1.193119458	1.281596282	0.6931194584
-
--45	45	1.55298521464139	-0.3966164317	1.596616432	0.8966164317
--40	45	1.50163035034960	-0.2662423328	1.613172053	0.9131720529
--35	45	1.45587628221752	-0.1459906596	1.622570273	0.9225702729
--30	45	1.41504135606470	-0.03483536043	1.626362018	0.9263620180
--25	45	1.37848601139357	0.06833315293	1.625712541	0.9257125409
--20	45	1.34564042047020	0.1646077785	1.621482555	0.9214825552
--15	45	1.31600857899714	0.2550160701	1.614292473	0.9142924735
--10	45	1.28917281442797	0.3404983438	1.604578843	0.9045788432
--5	45	1.26478373796181	0.4219049347	1.592630681	0.8926306808
-0	45	1.24255988402256	0.5000000000	1.578622520	0.8786225200
-5	45	1.22227976072311	0.5754706238	1.562633178	0.8626331777
-10	45	1.20377677706443	0.6489361143	1.544658677	0.8446586775
-15	45	1.18694041641545	0.7209570153	1.524622808	0.8246228076
-20	45	1.17171276684869	0.7920418723	1.502378450	0.8023784496
-25	45	1.15809047218480	0.8626509508	1.477707474	0.7777074738
-30	45	1.14613271707187	0.9331974484	1.450319990	0.7503199903
-35	45	1.13596534594857	1.004042144	1.419846784	0.7198467837
-40	45	1.12778974642537	1.075481340	1.385831954	0.6858319544
-45	45	1.12189689028454	1.147727472	1.347727472	0.6477274716
+-45	-45	2.45808636899560	-0.9191768268	-0.7191768268	1.419176827
+-40	-45	2.43572407238597	-0.7428857041	-0.7812135031	1.481213503
+-35	-45	2.41002732396142	-0.5693595051	-0.8272036457	1.527203646
+-30	-45	2.38180163794617	-0.4002364009	-0.8592551852	1.559255185
+-25	-45	2.35161959484438	-0.2363993596	-0.8792135229	1.579213523
+-20	-45	2.31986751203082	-0.07821205915	-0.8886245762	1.588624576
+-15	-45	2.28678578582652	0.07429930350	-0.8887366282	1.588736628
+-10	-45	2.25250304545241	0.2213112452	-0.8805224686	1.580522469
+-5	-45	2.21706175095400	0.3631057809	-0.8647080846	1.564708085
+0	-45	2.18043721025013	0.5000000000	-0.8418019373	1.541801937
+5	-45	2.14255297997408	0.6322936165	-0.8121229565	1.512122956
+10	-45	2.10329144974208	0.7602276949	-0.7758245948	1.475824595
+15	-45	2.06250159597261	0.8839486721	-0.7329159519	1.432915952
+20	-45	2.02000943691949	1.003474362	-0.6832844414	1.383284441
+25	-45	1.97562589457855	1.118658582	-0.6267176102	1.326717610
+30	-45	1.92915972532906	1.229153839	-0.5629314956	1.262931496
+35	-45	1.88043551403121	1.334372943	-0.4916080552	1.191608055
+40	-45	1.82931593494329	1.433451637	-0.4124443425	1.112444342
+45	-45	1.77573259643321	1.525219693	-0.3252196926	1.025219693
+
+-45	-40	2.41011597828302	-0.9656406986	-0.5298185696	1.465640699
+-40	-40	2.38617203946709	-0.7902418850	-0.5902418850	1.537650402
+-35	-40	2.35875121631454	-0.6149441697	-0.6361027846	1.592305294
+-30	-40	2.32864139974635	-0.4418929407	-0.6689125325	1.631406429
+-25	-40	2.29643266888943	-0.2725072503	-0.6900920078	1.656647144
+-20	-40	2.26254806003976	-0.1076602422	-0.7009043519	1.669532794
+-15	-40	2.22727483574748	0.05216415878	-0.7024259069	1.671346113
+-10	-40	2.19079347157177	0.2067432494	-0.6955415690	1.663141678
+-5	-40	2.15320123352425	0.3560150199	-0.6809531300	1.645755854
+0	-40	2.11453103734671	0.5000000000	-0.6591943511	1.619824751
+5	-40	2.07476722125313	0.6387400827	-0.6306495666	1.585806401
+10	-40	2.03385950764829	0.7722497754	-0.5955741950	1.544005201
+15	-40	1.99173285673524	0.9004756598	-0.5541145408	1.494595510
+20	-40	1.94830006373848	1.023261587	-0.5063310770	1.437649395
+25	-40	1.90347307696060	1.140317817	-0.4522230750	1.373165989
+30	-40	1.85717428924843	1.251193100	-0.3917564035	1.301104616
+35	-40	1.80935539036428	1.355253504	-0.3249002772	1.221428587
+40	-40	1.76002013043028	1.451671402	-0.2516714022	1.134157813
+45	-40	1.70924115731241	1.539424420	-0.1721806478	1.039424420
+
+-45	-35	2.36091753678647	-0.9960833986	-0.3475688735	1.496083399
+-40	-35	2.33486273140253	-0.8225712722	-0.4036524630	1.576179065
+-35	-35	2.30533846926228	-0.6470045850	-0.4470045850	1.638092312
+-30	-35	2.27310532972745	-0.4718322159	-0.4786332834	1.683262774
+-25	-35	2.23876038535582	-0.2988589801	-0.4995665738	1.713158611
+-20	-35	2.20275329718102	-0.1293669336	-0.5107788762	1.729171439
+-15	-35	2.16541136807110	0.03576251486	-0.5131500889	1.732557881
+-10	-35	2.12696304383264	0.1959397791	-0.5074457233	1.724411203
+-5	-35	2.08755859028546	0.3507746721	-0.4943113000	1.705653302
+0	-35	2.04728793548724	0.5000000000	-0.4742761182	1.677040098
+5	-35	2.00619559910485	0.6434092425	-0.4477627910	1.639175142
+10	-35	1.96429487227669	0.7808059757	-0.4151013882	1.592529825
+15	-35	1.92158084181930	0.9119632282	-0.3765464722	1.537467698
+20	-35	1.87804260230078	1.036591145	-0.3322964057	1.474272054
+25	-35	1.83367457816960	1.154311829	-0.2825145852	1.403176246
+30	-35	1.78848722063214	1.264640985	-0.2273527881	1.324397036
+35	-35	1.74251904847059	1.366977828	-0.1669778276	1.238172656
+40	-35	1.69585858137464	1.460610580	-0.1016053685	1.144811109
+45	-35	1.64865240428564	1.544730048	-0.03152785515	1.044730048
+
+-45	-30	2.31118476137372	-1.013025588	-0.1735457304	1.513025588
+-40	-30	2.28258665211286	-0.8418388400	-0.2232646359	1.599141258
+-35	-30	2.25064287973067	-0.6669862247	-0.2622287311	1.666629051
+-30	-30	2.21608942597110	-0.4910653201	-0.2910653201	1.716575488
+-25	-30	2.17952666885823	-0.3161315678	-0.3104783229	1.750199795
+-20	-30	2.14142671901324	-0.1437697876	-0.3211842211	1.768742955
+-15	-30	2.10215278763663	0.02481966273	-0.3238713285	1.773397161
+-10	-30	2.06197745184600	0.1887366965	-0.3191744414	1.765261914
+-5	-30	2.02110000154446	0.3473041606	-0.3076617980	1.745321431
+0	-30	1.97966275276214	0.5000000000	-0.2898313764	1.714438235
+5	-30	1.93776532097014	0.6463998328	-0.2661135451	1.673357746
+10	-30	1.89547642532187	0.7861293431	-0.2368779107	1.622720142
+15	-30	1.85284762716488	0.9188262459	-0.2024451376	1.563080829
+20	-30	1.80992619189546	1.044111918	-0.1631012456	1.494935209
+25	-30	1.76676407425311	1.161571136	-0.1191121606	1.418743879
+30	-30	1.72342825381882	1.270740546	-0.07074054598	1.334961785
+35	-30	1.68000519967046	1.371103516	-0.01826111819	1.244064750
+40	-30	1.63661841823334	1.462100675	0.03801772359	1.146586936
+45	-30	1.59343298681927	1.543146754	0.09773894086	1.043146754
+
+-45	-25	2.26134523378650	-1.018590414	-0.008130339473	1.518590414
+-40	-25	2.22988355930207	-0.8498080550	-0.05012049783	1.608638599
+-35	-25	2.19529382843342	-0.6762764401	-0.08334876762	1.679896853
+-30	-25	2.15829340925054	-0.5006340990	-0.1081806977	1.733149099
+-25	-25	2.11948596132956	-0.3250769299	-0.1250769299	1.769383186
+-20	-25	2.07936506105190	-0.1513929456	-0.1345449446	1.789687409
+-15	-25	2.03832686359695	0.01898406705	-0.1371042704	1.795175901
+-10	-25	1.99668318779763	0.1849149923	-0.1332618835	1.786935876
+-5	-25	1.95467614463834	0.3454954265	-0.1234971587	1.765995356
+0	-25	1.91249223290609	0.5000000000	-0.1082541431	1.733306603
+5	-25	1.87027567286049	0.6478332592	-0.08793958109	1.689741885
+10	-25	1.82813867979887	0.7884879752	-0.06292437824	1.636096609
+15	-25	1.78617265868937	0.9215111537	-0.03354906268	1.573101041
+20	-25	1.74446131168692	1.046479218	-0.0001326491758	1.501439311
+25	-25	1.70308777522321	1.162980769	0.03701923078	1.421766848
+30	-25	1.66214333219590	1.270607596	0.07760447577	1.334731509
+35	-25	1.62172994852491	1.368950983	0.1213165727	1.240990615
+40	-25	1.58197033249466	1.457608880	0.1678339286	1.141233823
+45	-25	1.54301006755786	1.536197508	0.2168131665	1.036197508
+
+-45	-20	2.21163338242796	-1.014506810	0.1487646016	1.514506810
+-40	-20	2.17710115292424	-0.8479980971	0.1152885248	1.606481575
+-35	-20	2.13973717921488	-0.6761410506	0.08863792468	1.679703497
+-30	-20	2.10024644264174	-0.5015465430	0.06861009798	1.734729499
+-25	-20	2.05923831715302	-0.3264671556	0.05491206510	1.772364535
+-20	-20	2.01722606059968	-0.1528057758	0.04719422422	1.793569128
+-15	-20	1.97463379317684	0.01785586832	0.04507691191	1.799386396
+-10	-20	1.93180567751368	0.1842184264	0.04817069478	1.790886297
+-5	-20	1.88901771168608	0.3452214076	0.05609028351	1.769127406
+0	-20	1.84648954117010	0.5000000000	0.06846338248	1.735132596
+5	-20	1.80439616226948	0.6478450394	0.08493524222	1.689876533
+10	-20	1.76287741314178	0.7881678060	0.1051704202	1.634280839
+15	-20	1.72204725332886	0.9204703579	0.1288518160	1.569216739
+20	-20	1.68200491011582	1.044322990	0.1556770103	1.495515123
+25	-20	1.64284129624269	1.159347858	0.1853548080	1.413976044
+30	-20	1.60464629432844	1.265209223	0.2176006749	1.325381253
+35	-20	1.56750993463270	1.361607117	0.2521337218	1.230502486
+40	-20	1.53153211581040	1.448280412	0.2886712009	1.130116588
+45	-20	1.49682039559885	1.525009253	0.3269271419	1.025009253
+
+-45	-15	2.16214615196201	-1.002143667	0.2975018174	1.502143667
+-40	-15	2.12444280496376	-0.8376766888	0.2728404886	1.594181000
+-35	-15	2.08427392491981	-0.6676936468	0.2531573818	1.667639354
+-30	-15	2.04233820744800	-0.4947381304	0.2383404270	1.722936982
+-25	-15	1.99925150750974	-0.3210567227	0.2282052912	1.760761824
+-20	-15	1.95554196483177	-0.1485909372	0.2225174988	1.781988954
+-15	-15	1.91165350806106	0.02101073084	0.2210107308	1.787612289
+-10	-15	1.86795259643520	0.1863690444	0.2234015751	1.778689537
+-5	-15	1.82473715180387	0.3463436109	0.2294006823	1.756300564
+0	-15	1.78224640277830	0.5000000000	0.2387206879	1.721517829
+5	-15	1.74067077890238	0.6465773775	0.2510813818	1.675387092
+10	-15	1.70016036360781	0.7854584857	0.2662128938	1.618915520
+15	-15	1.66083401906145	0.9161432339	0.2838567661	1.553067692
+20	-15	1.62278937552129	1.038227510	0.3037653275	1.478767930
+25	-15	1.58610734494383	1.151385828	0.3257013937	1.396901416
+30	-15	1.55085876175205	1.255358902	0.3494367137	1.308319996
+35	-15	1.51710655023957	1.349943791	0.3747510704	1.213845530
+40	-15	1.48491443264237	1.434991244	0.4014297951	1.114279174
+45	-15	1.45434335273680	1.510400086	0.4292641130	1.010400086
+
+-45	-10	2.11288281778975	-0.9825546069	0.4385856224	1.482554607
+-40	-10	2.07200435056778	-0.8198725666	0.4226442058	1.572962873
+-35	-10	2.02909477382630	-0.6518873419	0.4099305477	1.645065611
+-30	-10	1.98484901888488	-0.4810521392	0.4003795255	1.699232150
+-25	-10	1.93988508812120	-0.3095587283	0.3938779714	1.736104295
+-20	-10	1.89473753168050	-0.1393217823	0.3902777509	1.756522161
+-15	-10	1.84985842574771	0.02801820897	0.3894070723	1.761460024
+-10	-10	1.80562281779341	0.1910798385	0.3910798385	1.751973295
+-5	-10	1.76233562723572	0.3487184966	0.3951032321	1.729155496
+0	-10	1.72024009401229	0.5000000000	0.4012834425	1.694105782
+5	-10	1.67952608134040	0.6441730092	0.4094298805	1.647905036
+10	-10	1.64033850054706	0.7806420197	0.4193579803	1.591599984
+15	-10	1.60278626950235	0.9089426107	0.4308907141	1.526194601
+20	-10	1.56695042173233	1.028719952	0.4438592941	1.452646129
+25	-10	1.53289060160111	1.139710555	0.4581034137	1.371863712
+30	-10	1.50064954510212	1.241726667	0.4734712693	1.284708272
+35	-10	1.47025757849518	1.334643663	0.4898191765	1.191994683
+40	-10	1.44173924919585	1.418391934	0.5070106685	1.094496887
+45	-10	1.41511151482034	1.492946735	0.5249167002	0.9929467351
+
+-45	-5	2.06377569999205	-0.9565252958	0.5725705485	1.456525296
+-40	-5	2.01980910088831	-0.7954022394	0.5649349774	1.543800273
+-35	-5	1.97431351413931	-0.6295227595	0.5588697904	1.613125678
+-30	-5	1.92797824457261	-0.4612339929	0.5543395892	1.664906114
+-25	-5	1.88141421464541	-0.2926322037	0.5512863107	1.699805246
+-20	-5	1.83514939380395	-0.1255476159	0.5496351632	1.718677949
+-15	-5	1.78962880583790	0.03845511718	0.5492999938	1.722508953
+-10	-5	1.74521893734679	0.1980645429	0.5501878186	1.712361069
+-5	-5	1.70221428807332	0.3522025313	0.5522025313	1.689332797
+0	-5	1.66084515514815	0.5000000000	0.5552478069	1.654525138
+5	-5	1.62128580120027	0.6407707238	0.5592292762	1.609016736
+10	-5	1.58366291680431	0.7739851009	0.5640560270	1.553846722
+15	-5	1.54806400816847	0.8992453736	0.5696415397	1.490004019
+20	-5	1.51454561702695	1.016263364	0.5759041605	1.418421936
+25	-5	1.48314068349808	1.124841175	0.5827672710	1.339976224
+30	-5	1.45386109059298	1.224852941	0.5901595470	1.255482122
+35	-5	1.42670573522514	1.316231357	0.5980145362	1.165699186
+40	-5	1.40166396045361	1.398955566	0.6062704617	1.071333525
+45	-5	1.37871812195005	1.473040733	0.6148699667	0.9730407333
+
+-45	0	2.01471681466707	-0.9246199218	0.7000000000	1.424619922
+-40	0	1.96783322764008	-0.7648988167	0.7000000000	1.507447709
+-35	0	1.91999123055872	-0.6012617278	0.7000000000	1.572764742
+-30	0	1.87186647885568	-0.4359332394	0.7000000000	1.621083923
+-25	0	1.82404927330726	-0.2708765332	0.7000000000	1.653150060
+-20	0	1.77704346584855	-0.1077846609	0.7000000000	1.669874632
+-15	0	1.73126757343072	0.05191497983	0.7000000000	1.672276061
+-10	0	1.68705988963043	0.2070451246	0.7000000000	1.661429659
+-5	0	1.64468583862530	0.3566561841	0.7000000000	1.638427312
+0	0	1.60434642429128	0.5000000000	0.7000000000	1.604346424
+5	0	1.56618687362962	0.6365021803	0.7000000000	1.560227060
+10	0	1.53030503576023	0.7657346807	0.7000000000	1.507056264
+15	0	1.49675973541870	0.8873899255	0.7000000000	1.445758884
+20	0	1.46558073498448	1.001258133	0.7000000000	1.377195402
+25	0	1.43677367300264	1.107206792	0.7000000000	1.302159168
+30	0	1.41032382041627	1.205161910	0.7000000000	1.221376256
+35	0	1.38620555784016	1.295094844	0.7000000000	1.135513117
+40	0	1.36438238731562	1.377008093	0.7000000000	1.045177546
+45	0	1.34481372234831	1.450926903	0.7000000000	0.9509269025
+
+-45	5	1.96556815382738	-0.8872145780	0.8213655495	1.387214578
+-40	5	1.91601949795357	-0.7288368972	0.8281245919	1.464470787
+-35	5	1.86615220479592	-0.5676426884	0.8333984952	1.524751777
+-30	5	1.81661211192684	-0.4057100716	0.8372466039	1.568735861
+-25	5	1.76795111413952	-0.2448306581	0.8397451611	1.597294501
+-20	5	1.72062729912156	-0.08651045435	0.8409813522	1.611424230
+-15	5	1.67501053862628	0.06801514356	0.8410482988	1.612189432
+-10	5	1.63139011363765	0.2177577500	0.8400409464	1.600675341
+-5	5	1.58998410430677	0.3619470959	0.8380529041	1.577951914
+0	5	1.55094953133440	0.5000000000	0.8351741584	1.545047700
+5	5	1.51439100724152	0.6314894129	0.8314894129	1.502930867
+10	5	1.48036980782812	0.7561146485	0.8270771394	1.452498350
+15	5	1.44891432411396	0.8736746915	0.8220093222	1.394572934
+20	5	1.42002818081925	0.9840451933	0.8163514570	1.329903238
+25	5	1.39369382041036	1.087157573	0.8101625299	1.259163479
+30	5	1.36987886695167	1.182981842	0.8034955239	1.182959251
+35	5	1.34854264457357	1.271513540	0.7963981175	1.101835525
+40	5	1.32963597420394	1.352760500	0.7889130130	1.016280389
+45	5	1.31310867549409	1.426736371	0.7810789265	0.9267363706
+
+-45	10	1.91617706801228	-0.8445313275	0.9370771494	1.344531327
+-40	10	1.86429532535156	-0.6875613366	0.9495521355	1.415280489
+-35	10	1.81280104422083	-0.5291005640	0.9591491599	1.469707919
+-30	10	1.76228851752801	-0.3710470688	0.9660241242	1.508697779
+-25	10	1.71324643760422	-0.2149771993	0.9703574960	1.533273552
+-20	10	1.66606341331105	-0.06216262836	0.9723421577	1.544529127
+-15	10	1.62103785973509	0.08640059060	0.9721737447	1.543574010
+-10	10	1.57838978641621	0.2299566538	0.9700433462	1.531491920
+-5	10	1.53827329542929	0.3679523394	0.9661323692	1.509311667
+0	10	1.50078845529856	0.5000000000	0.9606091803	1.477988106
+5	10	1.46599151379710	0.6258428853	0.9536270999	1.438390761
+10	10	1.43390422630635	0.7453236195	0.9453236195	1.391299383
+15	10	1.40452477983788	0.8583572191	0.9358209998	1.337407349
+20	10	1.37783382313717	0.9649082846	0.9252268631	1.277325014
+25	10	1.35379847692269	1.064971286	0.9136350955	1.211584833
+30	10	1.33237918287713	1.158555606	0.9011276824	1.140651768
+35	10	1.31353149765525	1.245672565	0.8877760305	1.064930788
+40	10	1.29720910702206	1.326325829	0.8736427156	0.9847767759
+45	10	1.28336581550803	1.400504224	0.8587831909	0.9005042239
+
+-45	15	1.86639008096919	-0.7966681455	1.047441182	1.296668145
+-40	15	1.81259138805392	-0.6413163209	1.064455870	1.360167826
+-35	15	1.75994404405297	-0.4859910708	1.077310293	1.408141182
+-30	15	1.70896381231309	-0.3323653063	1.086302083	1.441699001
+-25	15	1.66004798692739	-0.1817519230	1.091747538	1.462021717
+-20	15	1.61348977702221	-0.03514312933	1.093964000	1.470293664
+-15	15	1.56949409456563	0.1067431540	1.093256846	1.467654530
+-10	15	1.52819391761532	0.2434148384	1.089910759	1.455166762
+-5	15	1.48966624426330	0.3745590642	1.084184603	1.433796458
+0	15	1.45394598270109	0.5000000000	1.076308911	1.404403975
+5	15	1.42103679759005	0.6196618279	1.066485083	1.367740952
+10	15	1.39092001378190	0.7335367471	1.054886034	1.324452708
+15	15	1.36356584131189	0.8416588848	1.041658885	1.275088317
+20	15	1.33893794506362	0.9440830380	1.026926985	1.220108119
+25	15	1.31699691070382	1.040867001	1.010792400	1.159893027
+30	15	1.29770561344897	1.132058516	0.9933393779	1.094757462
+35	15	1.28102882641086	1.217683604	0.9746367778	1.024958408
+40	15	1.26693705854020	1.297739608	0.9547417204	0.9507090432
+45	15	1.25540346248594	1.372187275	0.9337018761	0.8721872754
+
+-45	20	1.81605571185797	-0.7436187500	1.152640208	1.243618750
+-40	20	1.76084400709654	-0.5902637058	1.172915875	1.299325688
+-35	20	1.70759353292820	-0.4386063257	1.187890726	1.340468753
+-30	20	1.65670605698981	-0.2900350123	1.198049873	1.368380781
+-25	20	1.60845749216676	-0.1455480540	1.203873939	1.384382269
+-20	20	1.56302102225274	-0.005817950164	1.205817950	1.389723396
+-15	20	1.52048927337507	0.1287438294	1.204297827	1.385546891
+-10	20	1.48089486562199	0.2579263192	1.199683111	1.372868065
+-5	20	1.44422940486705	0.3816655911	1.192294668	1.352568483
+0	20	1.41045848757268	0.5000000000	1.182405214	1.325397433
+5	20	1.37953231117657	0.6130333866	1.170241361	1.291977521
+10	20	1.35139417867826	0.7209049209	1.155987027	1.252814062
+15	20	1.32599069439514	0.8237656694	1.139788848	1.208309928
+20	20	1.30327457849525	0.9217599549	1.121759955	1.158775952
+25	20	1.28320760781209	1.015010299	1.101984432	1.104443151
+30	20	1.26576374344405	1.103605975	1.080522223	1.045476216
+35	20	1.25092927201497	1.187593450	1.057413389	0.9819852144
+40	20	1.23870273849546	1.266968927	1.032682615	0.9140379737
+45	20	1.22909302896613	1.341671941	1.006343534	0.8416719412
+
+-45	25	1.76504253694869	-0.6853018443	1.252715327	1.185301844
+-40	25	1.70901534711181	-0.5345126193	1.274903312	1.232884131
+-35	25	1.65578362048693	-0.3871975302	1.290834831	1.267049384
+-30	25	1.60559650673945	-0.2443911968	1.301221363	1.289323373
+-25	25	1.55857822414169	-0.1067258570	1.306725857	1.301127799
+-20	25	1.51476031610924	0.02547813624	1.307943063	1.303738106
+-15	25	1.47411003541979	0.1521311539	1.305390542	1.298264208
+-10	25	1.43655314501639	0.2733058697	1.299506715	1.285646300
+-5	25	1.40199320777547	0.3891814569	1.290654071	1.266661744
+0	25	1.37032732728301	0.5000000000	1.279125353	1.241938328
+5	25	1.34145531723489	0.6060334123	1.265149703	1.211967449
+10	25	1.31528645043417	0.7075577357	1.248899330	1.177118413
+15	25	1.29174807355932	0.8048340361	1.230497757	1.137656111
+20	25	1.27078665497812	0.8980933786	1.210025199	1.093752568
+25	25	1.25237121539256	0.9875250964	1.187525096	1.045500943
+30	25	1.23649433313896	1.073267002	1.163009732	0.9929275744
+35	25	1.22317160608510	1.155396523	1.136465478	0.9360032382
+40	25	1.21244043341660	1.233922566	1.107858257	0.8746548544
+45	25	1.20435929692004	1.308778976	1.077139830	0.8087789761
+
+-45	30	1.71324918923283	-0.6215848706	1.347547327	1.121584871
+-40	30	1.65710176615879	-0.4741419935	1.370267417	1.160937220
+-35	30	1.60457819867488	-0.3319936811	1.386013431	1.188210117
+-30	30	1.55573523954074	-0.1957459501	1.395745950	1.205067335
+-25	30	1.51051875788096	-0.06561915929	1.400310982	1.212974201
+-20	30	1.46880366722884	0.05843857906	1.400429819	1.213180033
+-15	30	1.43042572910887	0.1766599534	1.396700973	1.206721482
+-10	30	1.39520466367243	0.2893885734	1.389608382	1.194436754
+-5	30	1.36296021323553	0.3970271863	1.379532402	1.176984646
+0	30	1.33352668971864	0.5000000000	1.366763345	1.154867990
+5	30	1.30675933552167	0.5987267891	1.351512276	1.128452363
+10	30	1.28253902493186	0.6936041218	1.333921090	1.097983536
+15	30	1.26077831893362	0.7849921615	1.314072764	1.063605227
+20	30	1.24142158759486	0.8732043243	1.291997908	1.025370454
+25	30	1.22444841734321	0.9584990956	1.267682241	0.9832544836
+30	30	1.20987215759560	1.041071278	1.241071278	0.9371629435
+35	30	1.19774194451771	1.121044041	1.212076670	0.8869428100
+40	30	1.18814165337471	1.198459625	1.180581611	0.8323917678
+45	30	1.18118781987037	1.273268942	1.146447032	0.7732689421
+
+-45	35	1.66062445343006	-0.5523165834	1.436840004	1.052316583
+-40	35	1.60515404057008	-0.4092314477	1.458730775	1.083579844
+-35	35	1.55408691184508	-0.2732247725	1.473224772	1.104279418
+-30	35	1.50725212129422	-0.1444031210	1.481528904	1.116138946
+-25	35	1.46440019916678	-0.02254330444	1.484650980	1.120597733
+-20	35	1.42524456448125	0.09278154193	1.483408661	1.118823518
+-15	35	1.38949280115041	0.2021098840	1.478449462	1.111741048
+-10	35	1.35686674620563	0.3060289746	1.470273350	1.100064350
+-5	35	1.32711307982175	0.4051337359	1.459253491	1.084326360
+0	35	1.30001301081222	0.5000000000	1.445656830	1.064908315
+5	35	1.27538563601499	0.5911686218	1.429659749	1.042062116
+10	35	1.25308979967742	0.6791355813	1.411360700	1.015928366
+15	35	1.23302725950465	0.7643458340	1.390791206	0.9865520833
+20	35	1.21514196881241	0.8471883010	1.367922381	0.9538920173
+25	35	1.19942311282114	0.9279912808	1.342671669	0.9178302635
+30	35	1.18590558967274	1.007016213	1.314906745	0.8781778420
+35	35	1.17467225628454	1.084449738	1.284449738	0.8346807280
+40	35	1.16585392394815	1.160392102	1.251080600	0.7870246603
+45	35	1.15962908508780	1.234842194	1.214542044	0.7348421940
+
+-45	40	1.60718628652619	-0.4773627713	1.520104741	0.9773627713
+-40	40	1.55328428638306	-0.3398859816	1.539885982	1.000937136
+-35	40	1.50446577290797	-0.2111370332	1.552197084	1.015608936
+-30	40	1.46030662853135	-0.09066737576	1.558454224	1.023065905
+-25	40	1.42035593576474	0.02220011795	1.559779371	1.024645154
+-20	40	1.38417438815395	0.1282475679	1.557040767	1.021381413
+-15	40	1.35135553621814	0.2282843439	1.550894547	1.014056634
+-10	40	1.32153935660748	0.3231004690	1.541824266	1.003247094
+-5	40	1.29441568085896	0.4134421747	1.530172005	0.9893604698
+0	40	1.26972599412224	0.5000000000	1.516164137	0.9726665421
+5	40	1.24726351341556	0.5834047508	1.499931017	0.9533206634
+10	40	1.22687119005978	0.6642273739	1.481520380	0.9313797201
+15	40	1.20844281685328	0.7429803439	1.460908122	0.9068149885
+20	40	1.19192213146020	0.8201185884	1.438003727	0.8795185931
+25	40	1.17730529022100	0.8960389890	1.412654325	0.8493083527
+30	40	1.16464356591358	0.9710770638	1.384646066	0.8159294087
+35	40	1.15404652969889	1.045499432	1.353703863	0.7790539272
+40	40	1.14568727876028	1.119491675	1.319491675	0.7382814296
+45	40	1.13980643834444	1.193139550	1.281613141	0.6931395500
+
+-45	45	1.55305166694293	-0.3966547980	1.596654798	0.8966547980
+-40	45	1.50169228124946	-0.2662739345	1.613209714	0.9132097144
+-35	45	1.45593486907396	-0.1460166553	1.622607399	0.9226073986
+-30	45	1.41509676339795	-0.03485630243	1.626398291	0.9263982906
+-25	45	1.37853862053993	0.06831667861	1.625747870	0.9257478702
+-20	45	1.34568990399209	0.1645954451	1.621516441	0.9215164410
+-15	45	1.31605587113874	0.2550072663	1.614325330	0.9143253295
+-10	45	1.28921726352493	0.3404928443	1.604610032	0.9046100320
+-5	45	1.26482655597201	0.4219022909	1.592660900	0.8926608999
+0	45	1.24260111156610	0.5000000000	1.578651672	0.8786516723
+5	45	1.22231934195211	0.5754730678	1.562661112	0.8626611124
+10	45	1.20381547655889	0.6489409024	1.544685832	0.8446858319
+15	45	1.18697797234907	0.7209640066	1.524648899	0.8246488994
+20	45	1.17174911141215	0.7920509309	1.502403338	0.8024033381
+25	45	1.15812634979129	0.8626621858	1.477731567	0.7777315672
+30	45	1.14616805764167	0.9332108059	1.450343126	0.7503431262
+35	45	1.13599930171462	1.004057211	1.419868301	0.7198683010
+40	45	1.12782299227121	1.075498304	1.385852172	0.6858521719
+45	45	1.12193003005399	1.147746605	1.347746605	0.6477466049
 
 
 ### +x patch
-# N_rho = 10
+# N_rho = 19
 # N_sigma = 19
 # ghosted_gfn=-3
 # dpx = drho = dnu
 # dpy = dsigma = dphi
 #
 # dpx	dpy	gridfn	global_x	global_y	global_z
-45	-45	1.77570779125398	1.525205371	-0.3252053713	1.025205371
-45	-40	1.70921518762691	1.539408628	-0.1721673962	1.039408628
-45	-35	1.64862502143307	1.544712696	-0.03151570504	1.044712696
-45	-30	1.59340593042424	1.543129041	0.09774916722	1.043129041
-45	-25	1.54298204449930	1.536178690	0.2168219418	1.036178690
-45	-20	1.49679262035450	1.524990233	0.3269340647	1.024990233
-45	-15	1.45431498501642	1.510380378	0.4292693938	1.010380378
-45	-10	1.41508334433365	1.492926969	0.5249201856	0.9929269686
-45	-5	1.37868835035444	1.473019722	0.6148718050	0.9730197217
-45	0	1.34478422325742	1.450906043	0.7000000000	0.9509060435
-45	5	1.31307830620650	1.426714937	0.7810770513	0.9267149373
-45	10	1.28333520647936	1.400482746	0.8587794039	0.9004827464
-45	15	1.25537305271525	1.372166148	0.9336962151	0.8721661483
-45	20	1.22906172682623	1.341650506	1.006335732	0.8416505058
-45	25	1.20432810105187	1.308758027	1.077130061	0.8087580268
-45	30	1.18115701541548	1.273248776	1.146435389	0.7732487758
-45	35	1.15959715085503	1.234821958	1.214527874	0.7348219577
-45	40	1.13977344796030	1.193119488	1.281596307	0.6931194878
-45	45	1.12189691119835	1.147727484	1.347727484	0.6477274837
-
-50	-45	1.78955195711604	1.588263056	-0.3882630563	0.9131611292
-50	-40	1.71971037375955	1.608182186	-0.2298752637	0.9298752637
-50	-35	1.65532982861435	1.617451654	-0.08244807192	0.9376532710
-50	-30	1.59612937488742	1.618221004	0.05439480256	0.9382988317
-50	-25	1.54172753187784	1.612202656	0.1813713842	0.9332488382
-50	-20	1.49170661897069	1.600729378	0.2993672703	0.9236216154
-50	-15	1.44564277767354	1.584809741	0.4093261060	0.9102634533
-50	-10	1.40314138754036	1.565195306	0.5121773278	0.8938049884
-50	-5	1.36383947660113	1.542423145	0.6087997922	0.8746968767
-50	0	1.32742441872510	1.516866100	0.7000000000	0.8532519692
-50	5	1.29362654765364	1.488757312	0.7865050558	0.8296658957
-50	10	1.26222895088253	1.458221577	0.8689603176	0.8040433721
-50	15	1.23306450070471	1.425291090	0.9479310003	0.7764114122
-50	20	1.20601721585386	1.389919347	1.023904153	0.7467309959
-50	25	1.18102838311665	1.351994193	1.097291417	0.7149080130
-50	30	1.15809390481548	1.311340828	1.168427845	0.6807957895
-50	35	1.13726913756989	1.267728133	1.237569026	0.6442003934
-50	40	1.11867818861105	1.220876759	1.304887423	0.6048874226
-50	45	1.10251483506323	1.170461765	1.370461765	0.5625842199
-
-55	-45	1.80152318409974	1.641602316	-0.4416023160	0.7993585473
-55	-40	1.72903871539932	1.667209785	-0.2794052998	0.8172890899
-55	-35	1.66151392197557	1.680613267	-0.1266743092	0.8266743092
-55	-30	1.59889627712718	1.684002584	0.01641578960	0.8290475343
-55	-25	1.54099953137251	1.679213566	0.1501236836	0.8256942280
-55	-20	1.48755690754666	1.667738993	0.2749777650	0.8176596458
-55	-15	1.43826130527054	1.650761004	0.3916545183	0.8057715296
-55	-10	1.39280408951779	1.629200144	0.5008915480	0.7906744530
-55	-5	1.35088330171983	1.603747974	0.6034345649	0.7728526517
-55	0	1.31223065933152	1.574916427	0.7000000000	0.7526645852
-55	5	1.27660625747981	1.543059433	0.7912558757	0.7303580776
-55	10	1.24381430407587	1.508408363	0.8778096019	0.7060951371
-55	15	1.21370104492676	1.471089070	0.9602025320	0.6799638869
-55	20	1.18615807763547	1.431139530	1.038907073	0.6519909179
-55	25	1.16112933984499	1.388526856	1.114326878	0.6221532028
-55	30	1.13860638701868	1.343152194	1.186794146	0.5903815221
-55	35	1.11863258288634	1.294860910	1.256567601	0.5565676011
-55	40	1.10130979840444	1.243453320	1.323831406	0.5205716187
-55	45	1.08679409056754	1.188687585	1.388687585	0.4822242384
-
-60	-45	1.81166777349095	1.686014958	-0.4860149580	0.6847460553
-60	-40	1.73713351534870	1.717006098	-0.3211893682	0.7026387985
-60	-35	1.66704893709405	1.734470476	-0.1643855331	0.7127218617
-60	-30	1.60155783940394	1.740561368	-0.01623843976	0.7162384398
-60	-25	1.54065439809784	1.737173672	0.1230964423	0.7142825525
-60	-20	1.48422071324850	1.725913970	0.2538038053	0.7077817604
-60	-15	1.43207386319352	1.708111865	0.3762874015	0.6975037102
-60	-10	1.38399971056928	1.684844178	0.4910800035	0.6840701049
-60	-5	1.33976724317746	1.656956351	0.5987794351	0.6679690605
-60	0	1.29915866449711	1.625104407	0.7000000000	0.6495793322
-60	5	1.26196791356796	1.589772719	0.7953427588	0.6291805729
-60	10	1.22802101955482	1.551310592	0.8853744225	0.6069744533
-60	15	1.19717375778969	1.509947781	0.9706146924	0.5830936234
-60	20	1.16931865783485	1.465815977	1.051528267	0.5576141141
-60	25	1.14439250596688	1.418968122	1.128521873	0.5305664926
-60	30	1.12237081793026	1.369384697	1.201939489	0.5019394890
-60	35	1.10327332181112	1.316987620	1.272060890	0.4716880221
-60	40	1.08716605674291	1.261649988	1.339100224	0.4397388255
-60	45	1.07415588841692	1.203200095	1.403200095	0.4059927643
-
-65	-45	1.82006434291527	1.722251349	-0.5222513493	0.5699451644
-65	-40	1.74396779530103	1.758098836	-0.3556702694	0.5866611220
-65	-35	1.67184282556614	1.779338313	-0.1958023303	0.5965652525
-65	-30	1.60399388609959	1.788036440	-0.04364818524	0.6006212559
-65	-25	1.54056948991798	1.786093799	0.1002846123	0.5997153877
-65	-20	1.48159108933569	1.775189705	0.2358689044	0.5946307249
-65	-15	1.42699721595862	1.756771452	0.3632491042	0.5860421528
-65	-10	1.37666865791729	1.732052550	0.4827558937	0.5745155395
-65	-5	1.33044842626775	1.702023030	0.5948366116	0.5605125441
-65	0	1.28817160170902	1.667479954	0.7000000000	0.5444048431
-65	5	1.24966704588224	1.629039307	0.7987781400	0.5264796751
-65	10	1.21478128814875	1.587171104	0.8916975982	0.5069562114
-65	15	1.18337722184319	1.542212762	0.9792600679	0.4859917924
-65	20	1.15534352983700	1.494391898	1.061929052	0.4636925570
-65	25	1.13060258501565	1.443846405	1.140122807	0.4401228066
-65	30	1.10910594618237	1.390632369	1.214206838	0.4153086942
-65	35	1.09084208969887	1.334741195	1.284492077	0.3892462119
-65	40	1.07583449246758	1.276107292	1.351231342	0.3619047738
-65	45	1.06413816518476	1.214614466	1.414614466	0.3332301981
-
-70	-45	1.82679235339166	1.750971106	-0.5509711064	0.4553162466
-70	-40	1.74953362078676	1.790979761	-0.3832606416	0.4698782062
-70	-35	1.67582917788149	1.815533589	-0.2211465357	0.4788150685
-70	-30	1.60610670519862	1.826587501	-0.06590565073	0.4828383635
-70	-25	1.54063972704730	1.826012240	0.08167033783	0.4826289855
-70	-20	1.47957180485090	1.815526487	0.2211875165	0.4788124835
-70	-15	1.42295237034869	1.796666322	0.3525593062	0.4719479449
-70	-10	1.37075105434961	1.770758912	0.4759309179	0.4625184188
-70	-5	1.32288188068252	1.738922524	0.5916083242	0.4509309211
-70	0	1.27923100135839	1.702083932	0.7000000000	0.4375227704
-70	5	1.23966060830676	1.660983056	0.8015728560	0.4225632750
-70	10	1.20403515863816	1.616204436	0.8968169581	0.4062651902
-70	15	1.17222137926797	1.568187534	0.9862199872	0.3887884672
-70	20	1.14410061241216	1.517250163	1.070248780	0.3702487800
-70	25	1.11957684760535	1.463607894	1.149337741	0.3507245910
-70	30	1.09857460189451	1.407383881	1.223878328	0.3302607238
-70	35	1.08104875502446	1.348628230	1.294215884	0.3088754156
-70	40	1.06698121138917	1.287324767	1.360643921	0.2865627797
-70	45	1.05637913659343	1.223399009	1.423399009	0.2632957066
-
-75	-45	1.83193387974906	1.772729817	-0.5727298172	0.3410269267
-75	-40	1.75384228903309	1.816082526	-0.4043243623	0.3526432501
-75	-35	1.67896664383652	1.843350707	-0.2406242912	0.3599497370
-75	-30	1.60782315605860	1.856375730	-0.08310389261	0.3634397814
-75	-25	1.54078221089474	1.856983094	0.06722839133	0.3636025242
-75	-20	1.47808645993983	1.846907299	0.2097658350	0.3609027229
-75	-15	1.41987812465872	1.827746672	0.3442313514	0.3557686486
-75	-10	1.36620246877141	1.800916330	0.4706133514	0.3485794800
-75	-5	1.31703626960882	1.767640953	0.5890957872	0.3396633697
-75	0	1.27231047912645	1.728957551	0.7000000000	0.3292981833
-75	5	1.23191630082096	1.685713401	0.8037364807	0.3177109481
-75	10	1.19573281060152	1.638592833	0.9007646365	0.3050850301
-75	15	1.16362805240567	1.588123866	0.9915619112	0.2915619112
-75	20	1.13547532086680	1.534702664	1.076600971	0.2772477431
-75	25	1.11116012825627	1.478610408	1.156333528	0.2622178686
-75	30	1.09058108987566	1.420025138	1.231176761	0.2465199928
-75	35	1.07366186328624	1.359042929	1.301508334	0.2301798590
-75	40	1.06034773620125	1.295684501	1.367658572	0.2132030196
-75	45	1.05060548985824	1.229904582	1.429904582	0.1955773433
-
-80	-45	1.83555289040333	1.787959451	-0.5879594509	0.2271020013
-80	-40	1.75690386971604	1.833754226	-0.4191526790	0.2351768557
-80	-35	1.68122301241524	1.863032520	-0.2544056453	0.2403394088
-80	-30	1.60908487819616	1.877539919	-0.09532304313	0.2428974547
-80	-25	1.54092841732779	1.879057172	0.05693507955	0.2431649874
-80	-20	1.47706903849759	1.869321321	0.2016077982	0.2414482941
-80	-15	1.41771872909848	1.849970804	0.3382764131	0.2380362760
-80	-10	1.36298060155150	1.822483075	0.4668105524	0.2331894476
-80	-5	1.31287980783879	1.788161744	0.5873004506	0.2271376711
-80	0	1.26738278390931	1.748128392	0.7000000000	0.2200787108
-80	5	1.22640326155034	1.703313323	0.8052762745	0.2121766052
-80	10	1.18983110646807	1.654478280	0.9035656694	0.2035656694
-80	15	1.15753448309702	1.602219873	0.9953389248	0.1943511023
-80	20	1.12937888778801	1.546994115	1.081074693	0.1846133110
-80	25	1.10523411541027	1.489131628	1.161239653	0.1744105935
-80	30	1.08497759903675	1.428850910	1.236272323	0.1637814766
-80	35	1.06850805465382	1.366280806	1.306576351	0.1527486790
-80	40	1.05574245923756	1.301467280	1.372510899	0.1413203057
-80	45	1.04661722630234	1.234383931	1.434383931	0.1294917013
-
-85	-45	1.83770424448005	1.796973658	-0.5969736577	0.1134704919
-85	-40	1.75873574520126	1.844254129	-0.4279631436	0.1176069972
-85	-35	1.68258417555696	1.874766327	-0.2626217455	0.1202764686
-85	-30	1.60985751425690	1.890192874	-0.1026282302	0.1216261166
-85	-25	1.54103549324700	1.892282569	0.05076797575	0.1218089412
-85	-20	1.47647793864079	1.882770299	0.1967127704	0.1209767254
-85	-15	1.41643970436225	1.863316272	0.3347005059	0.1192747186
-85	-10	1.36106042301554	1.835435246	0.4645267352	0.1168354449
-85	-5	1.31039575989443	1.800479352	0.5862227996	0.1137772004
-85	0	1.26443455099484	1.759622996	0.7000000000	0.1102027324
-85	5	1.22310496034278	1.713849125	0.8061980376	0.1061980376
-85	10	1.18630342500090	1.663968461	0.9052390444	0.1018340450
-85	15	1.15389760489252	1.610620788	0.9975899433	0.09716672844
-85	20	1.12574753548632	1.554299706	1.083733711	0.09223927221
-85	25	1.10171290041992	1.495366865	1.164147192	0.08708331671
-85	30	1.08165734693778	1.434065483	1.239282958	0.08172014073
-85	35	1.06546356864454	1.370543928	1.309561421	0.07616272478
-85	40	1.05303071782324	1.304862751	1.375360037	0.07041636640
-85	45	1.04427646814681	1.237006009	1.437006009	0.06447967072
-
-90	-45	1.83841584184048	1.799956308	-0.5999563084	0.000000000
-90	-40	1.75934322711042	1.847735103	-0.4308840276	0.000000000
-90	-35	1.68303674979505	1.878662994	-0.2653502212	0.000000000
-90	-30	1.61011527382117	1.894400730	-0.1050576369	0.000000000
-90	-25	1.54107205083917	1.896685600	0.04871480866	0.000000000
-90	-20	1.47628183254396	1.887251144	0.1950818760	0.000000000
-90	-15	1.41601389295899	1.867764390	0.3335086364	0.000000000
-90	-10	1.36042036844144	1.839752526	0.4637654822	0.000000000
-90	-5	1.30956735290407	1.804584054	0.5858636847	0.000000000
-90	0	1.26345129257426	1.763451293	0.7000000000	0.000000000
-90	5	1.22200533857573	1.717355239	0.8065047829	0.000000000
-90	10	1.18512813992347	1.667123381	0.9057953418	0.000000000
-90	15	1.15268712124424	1.613410260	0.9983373800	0.000000000
-90	20	1.12454033146754	1.556722251	1.084615445	0.000000000
-90	25	1.10054391805591	1.497431523	1.165109958	0.000000000
-90	30	1.08055675387908	1.435789599	1.240278377	0.000000000
-90	35	1.06445601759355	1.371951323	1.310546889	0.000000000
-90	40	1.05213478613799	1.305982006	1.376299204	0.000000000
-90	45	1.04350440631358	1.237869042	1.437869042	0.000000000
+45	-45	1.77573276577477	1.525219790	-0.3252197903	1.025219790
+45	-40	1.70924130971895	1.539424513	-0.1721807256	1.039424513
+45	-35	1.64865264845479	1.544730203	-0.03152796350	1.044730203
+45	-30	1.59343305485586	1.543146798	0.09773891515	1.043146798
+45	-25	1.54301014455351	1.536197560	0.2168131424	1.036197560
+45	-20	1.49682045863912	1.525009297	0.3269271262	1.025009297
+45	-15	1.45434338898813	1.510400111	0.4292641062	1.010400111
+45	-10	1.41511153751220	1.492946751	0.5249166974	0.9929467510
+45	-5	1.37871814041423	1.473040746	0.6148699655	0.9730407463
+45	0	1.34481373360906	1.450926910	0.7000000000	0.9509269105
+45	5	1.31310868204765	1.426736375	0.7810789269	0.9267363753
+45	10	1.28336582336061	1.400504229	0.8587831919	0.9005042295
+45	15	1.25540346966400	1.372187280	0.9337018774	0.8721872804
+45	20	1.22909304697836	1.341671954	1.006343538	0.8416719536
+45	25	1.20435932426629	1.308778994	1.077139839	0.8087789945
+45	30	1.18118783612673	1.273268953	1.146447038	0.7732689527
+45	35	1.15962910308721	1.234842205	1.214542052	0.7348422054
+45	40	1.13980647540834	1.193139572	1.281613160	0.6931395725
+45	45	1.12193004826027	1.147746615	1.347746615	0.6477466154
+
+50	-45	1.78957689676086	1.588278223	-0.3882782226	0.9131738552
+50	-40	1.71973697888401	1.608199330	-0.2298896495	0.9298896495
+50	-35	1.65535666199342	1.617469769	-0.08246075563	0.9376684706
+50	-30	1.59615617456539	1.618239779	0.05438396258	0.9383145861
+50	-25	1.54175619293272	1.612223332	0.1813617428	0.9332661875
+50	-20	1.49173449380371	1.600749947	0.2993597838	0.9236388747
+50	-15	1.44567254422657	1.584832078	0.4093201209	0.9102821961
+50	-10	1.40317065592412	1.565217525	0.5121734100	0.8938236324
+50	-5	1.36387032421860	1.542446723	0.6087977294	0.8747166608
+50	0	1.32745423743285	1.516888942	0.7000000000	0.8532711362
+50	5	1.29365689932049	1.488780511	0.7865070854	0.8296853617
+50	10	1.26225897577705	1.458244371	0.8689643367	0.8040624981
+50	15	1.23309460174490	1.425313678	0.9479370527	0.7764303656
+50	20	1.20604891226665	1.389942736	1.023912666	0.7467506214
+50	25	1.18106008444829	1.352017062	1.097302081	0.7149272027
+50	30	1.15812566214000	1.311363077	1.168440691	0.6808144583
+50	35	1.13730226754858	1.267750498	1.237584686	0.6442191597
+50	40	1.11871127134431	1.220898078	1.304905311	0.6049053110
+50	45	1.10254789375169	1.170481869	1.370481869	0.5626010888
+
+55	-45	1.80154847091796	1.641618340	-0.4416183399	0.7993697674
+55	-40	1.72906440790719	1.667227129	-0.2794198532	0.8173012344
+55	-35	1.66153912724411	1.680631177	-0.1266868499	0.8266868499
+55	-30	1.59892307013346	1.684022424	0.01640433465	0.8290614268
+55	-25	1.54102720134307	1.679234740	0.1501138101	0.8257090541
+55	-20	1.48758346692257	1.667759843	0.2749701765	0.8176742446
+55	-15	1.43829018769346	1.650784113	0.3916483263	0.8057877107
+55	-10	1.39283260400329	1.629223262	0.5008874717	0.7906906403
+55	-5	1.35091441507271	1.603773395	0.6034323408	0.7728704520
+55	0	1.31226104194572	1.574941315	0.7000000000	0.7526820120
+55	5	1.27663773626683	1.543085153	0.7912581260	0.7303760869
+55	10	1.24384538284504	1.508433559	0.8778140448	0.7061127801
+55	15	1.21373224568765	1.471114034	0.9602092211	0.6799813668
+55	20	1.18619080948774	1.431165225	1.038916425	0.6520089095
+55	25	1.16116167772636	1.388551602	1.114338417	0.6221705300
+55	30	1.13863873615672	1.343176149	1.186807977	0.5903982955
+55	35	1.11866611539694	1.294884737	1.256584285	0.5565842849
+55	40	1.10134299077836	1.243475727	1.323850208	0.5205873082
+55	45	1.08682802504494	1.188709089	1.388709089	0.4822392956
+
+60	-45	1.81169499678622	1.686032780	-0.4860327798	0.6847563447
+60	-40	1.73715941309293	1.717024242	-0.3212045924	0.7026492736
+60	-35	1.66707537150199	1.734490051	-0.1643992397	0.7127331634
+60	-30	1.60158685474940	1.740583843	-0.01625141582	0.7162514158
+60	-25	1.54068248144526	1.737196223	0.1230859264	0.7142955726
+60	-20	1.48424819114657	1.725936665	0.2537955447	0.7077948638
+60	-15	1.43210341516511	1.708136795	0.3762807214	0.6975181038
+60	-10	1.38402868559370	1.684868983	0.4910756296	0.6840844264
+60	-5	1.33979944485307	1.656984158	0.5987770023	0.6679851153
+60	0	1.29919051021974	1.625131986	0.7000000000	0.6495952551
+60	5	1.26200131549464	1.589801564	0.7953452823	0.6291972261
+60	10	1.22805332792759	1.551338251	0.8853792996	0.6069904224
+60	15	1.19720570428210	1.509974732	0.9706219137	0.5831091832
+60	20	1.16935166447200	1.465843239	1.051538190	0.5576298540
+60	25	1.14442495680598	1.418994181	1.128534024	0.5305815375
+60	30	1.12240420992326	1.369410563	1.201954422	0.5019544223
+60	35	1.10330802493819	1.317013318	1.272078884	0.4717028589
+60	40	1.08720027534538	1.261673961	1.339120340	0.4397526663
+60	45	1.07419061723887	1.203222831	1.403222831	0.4060058906
+
+65	-45	1.82009152803382	1.722269605	-0.5222696053	0.5699536773
+65	-40	1.74399443892039	1.758118057	-0.3556863974	0.5866700848
+65	-35	1.67187186498803	1.779360534	-0.1958178902	0.5965756147
+65	-30	1.60402487980562	1.788061328	-0.04366255463	0.6006328616
+65	-25	1.54059804586340	1.786117638	0.1002734960	0.5997265040
+65	-20	1.48162019468126	1.775214755	0.2358597867	0.5946424062
+65	-15	1.42702759874190	1.756798211	0.3632419343	0.5860546305
+65	-10	1.37669785677126	1.732078682	0.4827512860	0.5745277248
+65	-5	1.33048084950465	1.702052323	0.5948340487	0.5605262039
+65	0	1.28820369207999	1.667509037	0.7000000000	0.5444184051
+65	5	1.24970122523304	1.629070187	0.7987808417	0.5264940747
+65	10	1.21481468990470	1.587200997	0.8917028692	0.5069701507
+65	15	1.18341078536713	1.542242322	0.9792679884	0.4860055763
+65	20	1.15537815425171	1.494421698	1.061939899	0.4637064534
+65	25	1.13063660905876	1.443874808	1.140136052	0.4401360515
+65	30	1.10914097059135	1.390660494	1.214223076	0.4153218092
+65	35	1.09087732317799	1.334768157	1.284510956	0.3892587843
+65	40	1.07586871024543	1.276131977	1.351252055	0.3619162844
+65	45	1.06417319641526	1.214637991	1.414637991	0.3332411679
+
+70	-45	1.82682099092573	1.750990717	-0.5509907171	0.4553233844
+70	-40	1.74956260162693	1.791001146	-0.3832785857	0.4698859896
+70	-35	1.67586065769768	1.815558301	-0.2211638391	0.4788240629
+70	-30	1.60613770091206	1.826613102	-0.06592043168	0.4828476816
+70	-25	1.54066777070614	1.826036377	0.08165908262	0.4826377706
+70	-20	1.47960247157748	1.815553753	0.2211775923	0.4788224077
+70	-15	1.42298458699179	1.796695679	0.3525514399	0.4719586301
+70	-10	1.37078264538194	1.770788198	0.4759257539	0.4625290782
+70	-5	1.32291677408181	1.738955202	0.5916054652	0.4509428152
+70	0	1.27926550168802	1.702116352	0.7000000000	0.4375345702
+70	5	1.23969726870791	1.661017390	0.8015758598	0.4225757715
+70	10	1.20407067339937	1.616237360	0.8968227635	0.4062771735
+70	15	1.17225652837110	1.568219564	0.9862285695	0.3888001250
+70	20	1.14413569004655	1.517281351	1.070260132	0.3702601316
+70	25	1.11961091092549	1.463637212	1.149351412	0.3507352619
+70	30	1.09860989959758	1.407413036	1.223895160	0.3302713352
+70	35	1.08108435492960	1.348656176	1.294235452	0.3088855871
+70	40	1.06701633433300	1.287350684	1.360665668	0.2865722128
+70	45	1.05641549622677	1.223423907	1.423423907	0.2633047690
+
+75	-45	1.83196241574145	1.772749642	-0.5727496425	0.3410322389
+75	-40	1.75387218670634	1.816104961	-0.4043431877	0.3526492616
+75	-35	1.67899829357462	1.843376030	-0.2406420226	0.3599565223
+75	-30	1.60785204144600	1.856400098	-0.08311796148	0.3634463108
+75	-25	1.54080842755502	1.857006183	0.06721762462	0.3636087109
+75	-20	1.47811686667637	1.846935007	0.2097557500	0.3609101473
+75	-15	1.41990983215367	1.827776323	0.3442234066	0.3557765934
+75	-10	1.36623415627309	1.800946503	0.4706080310	0.3485875649
+75	-5	1.31707133222530	1.767674701	0.5890928346	0.3396724124
+75	0	1.27234506288440	1.728990956	0.7000000000	0.3293071342
+75	5	1.23195332394971	1.685749035	0.8037395984	0.3177204964
+75	10	1.19576902939481	1.638627321	0.9007707177	0.3050942712
+75	15	1.16366466973138	1.588158108	0.9915710862	0.2915710862
+75	20	1.13551176492765	1.534735873	1.076613058	0.2772566416
+75	25	1.11119563038482	1.478641675	1.156348108	0.2622262466
+75	30	1.09061788816847	1.420056182	1.231194684	0.2465283109
+75	35	1.07369859435419	1.359072317	1.301528912	0.2301877337
+75	40	1.06038380771240	1.295711569	1.367681284	0.2132102724
+75	45	1.05064261921573	1.229930378	1.429930378	0.1955842552
+
+80	-45	1.83558423408500	1.787981444	-0.5879814440	0.2271058792
+80	-40	1.75693721570248	1.833779540	-0.4191739205	0.2351813193
+80	-35	1.68125643169150	1.863059614	-0.2544246169	0.2403441863
+80	-30	1.60911345448071	1.877564383	-0.09533716754	0.2429017684
+80	-25	1.54095504568374	1.879081003	0.05692396692	0.2431691895
+80	-20	1.47710126231914	1.869351194	0.2015969252	0.2414535615
+80	-15	1.41775213491425	1.850002614	0.3382678898	0.2380418849
+80	-10	1.36301454898638	1.822516014	0.4668047444	0.2331952556
+80	-5	1.31291754798402	1.788198774	0.5872972109	0.2271442004
+80	0	1.26742009373165	1.748165135	0.7000000000	0.2200851896
+80	5	1.22644281811716	1.703352135	0.8052796701	0.2121834487
+80	10	1.18986933878160	1.654515376	0.9035722104	0.2035722104
+80	15	1.15757281436063	1.602256372	0.9953487048	0.1943575381
+80	20	1.12941624688482	1.547028748	1.081087299	0.1846194179
+80	25	1.10527010031444	1.489163833	1.161254670	0.1744162720
+80	30	1.08501463646834	1.428882618	1.236290630	0.1637870675
+80	35	1.06854467416247	1.366310495	1.306597139	0.1527539139
+80	40	1.05577839723252	1.301494563	1.372533792	0.1413251163
+80	45	1.04665436923502	1.234409994	1.434409994	0.1294962968
+
+85	-45	1.83773583558102	1.796995953	-0.5969959534	0.1134724426
+85	-40	1.75876937019530	1.844279829	-0.4279847089	0.1176092457
+85	-35	1.68261649203576	1.874792731	-0.2626402340	0.1202787787
+85	-30	1.60988369253035	1.890215481	-0.1026412820	0.1216280944
+85	-25	1.54106035763205	1.892305033	0.05075750049	0.1218109066
+85	-20	1.47650923402584	1.882799608	0.1967021027	0.1209792896
+85	-15	1.41647220771187	1.863347556	0.3346921233	0.1192774556
+85	-10	1.36109386581002	1.835468059	0.4645209493	0.1168383157
+85	-5	1.31043333359412	1.800516641	0.5862195372	0.1137804628
+85	0	1.26447198501862	1.759660287	0.7000000000	0.1102059950
+85	5	1.22314470341632	1.713888567	0.8062014884	0.1062014884
+85	10	1.18634171572563	1.664006031	0.9052456689	0.1018373320
+85	15	1.15393621099601	1.610657946	0.9975998998	0.09716997936
+85	20	1.12578528827526	1.554335062	1.083746580	0.09224236552
+85	25	1.10174946945543	1.495399904	1.164162598	0.08708620726
+85	30	1.08169509787486	1.434098083	1.239301779	0.08172299285
+85	35	1.06550075780679	1.370574313	1.309582697	0.07616538318
+85	40	1.05306714547906	1.304890594	1.375383400	0.07041880232
+85	45	1.04431410934353	1.237032574	1.437032574	0.06448199490
+
+90	-45	1.83844876141383	1.799979586	-0.5999795861	0.000000000
+90	-40	1.75937821111847	1.847761902	-0.4309065149	0.000000000
+90	-35	1.68306998708457	1.878690221	-0.2653692853	0.000000000
+90	-30	1.61014199172531	1.894423869	-0.1050709959	0.000000000
+90	-25	1.54109772385209	1.896708868	0.04870395877	0.000000000
+90	-20	1.47631414707333	1.887281510	0.1950708238	0.000000000
+90	-15	1.41604738171251	1.867796737	0.3334999688	0.000000000
+90	-10	1.36045484754573	1.839786481	0.4637594949	0.000000000
+90	-5	1.30960596308710	1.804622517	0.5858603196	0.000000000
+90	0	1.26348979062171	1.763489791	0.7000000000	0.000000000
+90	5	1.22204608382236	1.717395830	0.8065083341	0.000000000
+90	10	1.18516729056093	1.667161936	0.9058021402	0.000000000
+90	15	1.15272654957912	1.613448345	0.9983475848	0.000000000
+90	20	1.12457885623706	1.556758453	1.084628622	0.000000000
+90	25	1.10058123708022	1.497465345	1.165125729	0.000000000
+90	30	1.08059521136927	1.435822904	1.240297606	0.000000000
+90	35	1.06449378566680	1.371982261	1.310568552	0.000000000
+90	40	1.05217169365875	1.306010279	1.376322928	0.000000000
+90	45	1.04354246436261	1.237895953	1.437895953	0.000000000
+
+95	-45	1.83773583558102	1.796995953	-0.5969959534	-0.1134724426
+95	-40	1.75876937019530	1.844279829	-0.4279847089	-0.1176092457
+95	-35	1.68261649203576	1.874792731	-0.2626402340	-0.1202787787
+95	-30	1.60988369253035	1.890215481	-0.1026412820	-0.1216280944
+95	-25	1.54106035763205	1.892305033	0.05075750049	-0.1218109066
+95	-20	1.47650923402584	1.882799608	0.1967021027	-0.1209792896
+95	-15	1.41647220771187	1.863347556	0.3346921233	-0.1192774556
+95	-10	1.36109386581002	1.835468059	0.4645209493	-0.1168383157
+95	-5	1.31043333359412	1.800516641	0.5862195372	-0.1137804628
+95	0	1.26447198501862	1.759660287	0.7000000000	-0.1102059950
+95	5	1.22314470341632	1.713888567	0.8062014884	-0.1062014884
+95	10	1.18634171572563	1.664006031	0.9052456689	-0.1018373320
+95	15	1.15393621099601	1.610657946	0.9975998998	-0.09716997936
+95	20	1.12578528827526	1.554335062	1.083746580	-0.09224236552
+95	25	1.10174946945543	1.495399904	1.164162598	-0.08708620726
+95	30	1.08169509787486	1.434098083	1.239301779	-0.08172299285
+95	35	1.06550075780679	1.370574313	1.309582697	-0.07616538318
+95	40	1.05306714547906	1.304890594	1.375383400	-0.07041880232
+95	45	1.04431410934353	1.237032574	1.437032574	-0.06448199490
+
+100	-45	1.83558423408500	1.787981444	-0.5879814440	-0.2271058792
+100	-40	1.75693721570248	1.833779540	-0.4191739205	-0.2351813193
+100	-35	1.68125643169150	1.863059614	-0.2544246169	-0.2403441863
+100	-30	1.60911345448071	1.877564383	-0.09533716754	-0.2429017684
+100	-25	1.54095504568374	1.879081003	0.05692396692	-0.2431691895
+100	-20	1.47710126231914	1.869351194	0.2015969252	-0.2414535615
+100	-15	1.41775213491425	1.850002614	0.3382678898	-0.2380418849
+100	-10	1.36301454898638	1.822516014	0.4668047444	-0.2331952556
+100	-5	1.31291754798402	1.788198774	0.5872972109	-0.2271442004
+100	0	1.26742009373165	1.748165135	0.7000000000	-0.2200851896
+100	5	1.22644281811716	1.703352135	0.8052796701	-0.2121834487
+100	10	1.18986933878160	1.654515376	0.9035722104	-0.2035722104
+100	15	1.15757281436063	1.602256372	0.9953487048	-0.1943575381
+100	20	1.12941624688482	1.547028748	1.081087299	-0.1846194179
+100	25	1.10527010031444	1.489163833	1.161254670	-0.1744162720
+100	30	1.08501463646834	1.428882618	1.236290630	-0.1637870675
+100	35	1.06854467416247	1.366310495	1.306597139	-0.1527539139
+100	40	1.05577839723252	1.301494563	1.372533792	-0.1413251163
+100	45	1.04665436923502	1.234409994	1.434409994	-0.1294962968
+
+105	-45	1.83196241574145	1.772749642	-0.5727496425	-0.3410322389
+105	-40	1.75387218670634	1.816104961	-0.4043431877	-0.3526492616
+105	-35	1.67899829357462	1.843376030	-0.2406420226	-0.3599565223
+105	-30	1.60785204144600	1.856400098	-0.08311796148	-0.3634463108
+105	-25	1.54080842755502	1.857006183	0.06721762462	-0.3636087109
+105	-20	1.47811686667637	1.846935007	0.2097557500	-0.3609101473
+105	-15	1.41990983215367	1.827776323	0.3442234066	-0.3557765934
+105	-10	1.36623415627309	1.800946503	0.4706080310	-0.3485875649
+105	-5	1.31707133222530	1.767674701	0.5890928346	-0.3396724124
+105	0	1.27234506288440	1.728990956	0.7000000000	-0.3293071342
+105	5	1.23195332394971	1.685749035	0.8037395984	-0.3177204964
+105	10	1.19576902939481	1.638627321	0.9007707177	-0.3050942712
+105	15	1.16366466973138	1.588158108	0.9915710862	-0.2915710862
+105	20	1.13551176492765	1.534735873	1.076613058	-0.2772566416
+105	25	1.11119563038482	1.478641675	1.156348108	-0.2622262466
+105	30	1.09061788816847	1.420056182	1.231194684	-0.2465283109
+105	35	1.07369859435419	1.359072317	1.301528912	-0.2301877337
+105	40	1.06038380771240	1.295711569	1.367681284	-0.2132102724
+105	45	1.05064261921573	1.229930378	1.429930378	-0.1955842552
+
+110	-45	1.82682099092573	1.750990717	-0.5509907171	-0.4553233844
+110	-40	1.74956260162693	1.791001146	-0.3832785857	-0.4698859896
+110	-35	1.67586065769768	1.815558301	-0.2211638391	-0.4788240629
+110	-30	1.60613770091206	1.826613102	-0.06592043168	-0.4828476816
+110	-25	1.54066777070614	1.826036377	0.08165908262	-0.4826377706
+110	-20	1.47960247157748	1.815553753	0.2211775923	-0.4788224077
+110	-15	1.42298458699179	1.796695679	0.3525514399	-0.4719586301
+110	-10	1.37078264538194	1.770788198	0.4759257539	-0.4625290782
+110	-5	1.32291677408181	1.738955202	0.5916054652	-0.4509428152
+110	0	1.27926550168802	1.702116352	0.7000000000	-0.4375345702
+110	5	1.23969726870791	1.661017390	0.8015758598	-0.4225757715
+110	10	1.20407067339937	1.616237360	0.8968227635	-0.4062771735
+110	15	1.17225652837110	1.568219564	0.9862285695	-0.3888001250
+110	20	1.14413569004655	1.517281351	1.070260132	-0.3702601316
+110	25	1.11961091092549	1.463637212	1.149351412	-0.3507352619
+110	30	1.09860989959758	1.407413036	1.223895160	-0.3302713352
+110	35	1.08108435492960	1.348656176	1.294235452	-0.3088855871
+110	40	1.06701633433300	1.287350684	1.360665668	-0.2865722128
+110	45	1.05641549622677	1.223423907	1.423423907	-0.2633047690
+
+115	-45	1.82009152803383	1.722269605	-0.5222696053	-0.5699536773
+115	-40	1.74399443892039	1.758118057	-0.3556863974	-0.5866700848
+115	-35	1.67187186498803	1.779360534	-0.1958178902	-0.5965756147
+115	-30	1.60402487980562	1.788061328	-0.04366255463	-0.6006328616
+115	-25	1.54059804586340	1.786117638	0.1002734960	-0.5997265040
+115	-20	1.48162019468126	1.775214755	0.2358597867	-0.5946424062
+115	-15	1.42702759874190	1.756798211	0.3632419343	-0.5860546305
+115	-10	1.37669785677126	1.732078682	0.4827512860	-0.5745277248
+115	-5	1.33048084950465	1.702052323	0.5948340487	-0.5605262039
+115	0	1.28820369207999	1.667509037	0.7000000000	-0.5444184051
+115	5	1.24970122523304	1.629070187	0.7987808417	-0.5264940747
+115	10	1.21481468990470	1.587200997	0.8917028692	-0.5069701507
+115	15	1.18341078536713	1.542242322	0.9792679884	-0.4860055763
+115	20	1.15537815425171	1.494421698	1.061939899	-0.4637064534
+115	25	1.13063660905876	1.443874808	1.140136052	-0.4401360515
+115	30	1.10914097059135	1.390660494	1.214223076	-0.4153218092
+115	35	1.09087732317799	1.334768157	1.284510956	-0.3892587843
+115	40	1.07586871024543	1.276131977	1.351252055	-0.3619162844
+115	45	1.06417319641526	1.214637991	1.414637991	-0.3332411679
+
+120	-45	1.81169499678622	1.686032780	-0.4860327798	-0.6847563447
+120	-40	1.73715941309293	1.717024242	-0.3212045924	-0.7026492736
+120	-35	1.66707537150199	1.734490051	-0.1643992397	-0.7127331634
+120	-30	1.60158685474940	1.740583843	-0.01625141582	-0.7162514158
+120	-25	1.54068248144526	1.737196223	0.1230859264	-0.7142955726
+120	-20	1.48424819114657	1.725936665	0.2537955447	-0.7077948638
+120	-15	1.43210341516511	1.708136795	0.3762807214	-0.6975181038
+120	-10	1.38402868559370	1.684868983	0.4910756296	-0.6840844264
+120	-5	1.33979944485307	1.656984158	0.5987770023	-0.6679851153
+120	0	1.29919051021974	1.625131986	0.7000000000	-0.6495952551
+120	5	1.26200131549464	1.589801564	0.7953452823	-0.6291972261
+120	10	1.22805332792759	1.551338251	0.8853792996	-0.6069904224
+120	15	1.19720570428210	1.509974732	0.9706219137	-0.5831091832
+120	20	1.16935166447200	1.465843239	1.051538190	-0.5576298540
+120	25	1.14442495680598	1.418994181	1.128534024	-0.5305815375
+120	30	1.12240420992326	1.369410563	1.201954422	-0.5019544223
+120	35	1.10330802493819	1.317013318	1.272078884	-0.4717028589
+120	40	1.08720027534538	1.261673961	1.339120340	-0.4397526663
+120	45	1.07419061723887	1.203222831	1.403222831	-0.4060058906
+
+125	-45	1.80154847091796	1.641618340	-0.4416183399	-0.7993697674
+125	-40	1.72906440790720	1.667227129	-0.2794198532	-0.8173012344
+125	-35	1.66153912724411	1.680631177	-0.1266868499	-0.8266868499
+125	-30	1.59892307013346	1.684022424	0.01640433465	-0.8290614268
+125	-25	1.54102720134308	1.679234740	0.1501138101	-0.8257090541
+125	-20	1.48758346692257	1.667759843	0.2749701765	-0.8176742446
+125	-15	1.43829018769346	1.650784113	0.3916483263	-0.8057877107
+125	-10	1.39283260400329	1.629223262	0.5008874717	-0.7906906403
+125	-5	1.35091441507271	1.603773395	0.6034323408	-0.7728704520
+125	0	1.31226104194572	1.574941315	0.7000000000	-0.7526820120
+125	5	1.27663773626683	1.543085153	0.7912581260	-0.7303760869
+125	10	1.24384538284504	1.508433559	0.8778140448	-0.7061127801
+125	15	1.21373224568765	1.471114034	0.9602092211	-0.6799813668
+125	20	1.18619080948774	1.431165225	1.038916425	-0.6520089095
+125	25	1.16116167772636	1.388551602	1.114338417	-0.6221705300
+125	30	1.13863873615672	1.343176149	1.186807977	-0.5903982955
+125	35	1.11866611539694	1.294884737	1.256584285	-0.5565842849
+125	40	1.10134299077836	1.243475727	1.323850208	-0.5205873082
+125	45	1.08682802504494	1.188709089	1.388709089	-0.4822392956
+
+130	-45	1.78957689676086	1.588278223	-0.3882782226	-0.9131738552
+130	-40	1.71973697888401	1.608199330	-0.2298896495	-0.9298896495
+130	-35	1.65535666199342	1.617469769	-0.08246075563	-0.9376684706
+130	-30	1.59615617456539	1.618239779	0.05438396258	-0.9383145861
+130	-25	1.54175619293272	1.612223332	0.1813617428	-0.9332661875
+130	-20	1.49173449380371	1.600749947	0.2993597838	-0.9236388747
+130	-15	1.44567254422657	1.584832078	0.4093201209	-0.9102821961
+130	-10	1.40317065592412	1.565217525	0.5121734100	-0.8938236324
+130	-5	1.36387032421860	1.542446723	0.6087977294	-0.8747166608
+130	0	1.32745423743285	1.516888942	0.7000000000	-0.8532711362
+130	5	1.29365689932049	1.488780511	0.7865070854	-0.8296853617
+130	10	1.26225897577705	1.458244371	0.8689643367	-0.8040624981
+130	15	1.23309460174490	1.425313678	0.9479370527	-0.7764303656
+130	20	1.20604891226665	1.389942736	1.023912666	-0.7467506214
+130	25	1.18106008444829	1.352017062	1.097302081	-0.7149272027
+130	30	1.15812566214000	1.311363077	1.168440691	-0.6808144583
+130	35	1.13730226754858	1.267750498	1.237584686	-0.6442191597
+130	40	1.11871127134431	1.220898078	1.304905311	-0.6049053110
+130	45	1.10254789375169	1.170481869	1.370481869	-0.5626010888
+
+135	-45	1.77573276577477	1.525219790	-0.3252197903	-1.025219790
+135	-40	1.70924130971895	1.539424513	-0.1721807256	-1.039424513
+135	-35	1.64865264845480	1.544730203	-0.03152796350	-1.044730203
+135	-30	1.59343305485586	1.543146798	0.09773891515	-1.043146798
+135	-25	1.54301014455351	1.536197560	0.2168131424	-1.036197560
+135	-20	1.49682045863912	1.525009297	0.3269271262	-1.025009297
+135	-15	1.45434338898813	1.510400111	0.4292641062	-1.010400111
+135	-10	1.41511153751220	1.492946751	0.5249166974	-0.9929467510
+135	-5	1.37871814041423	1.473040746	0.6148699655	-0.9730407463
+135	0	1.34481373360906	1.450926910	0.7000000000	-0.9509269105
+135	5	1.31310868204765	1.426736375	0.7810789269	-0.9267363753
+135	10	1.28336582336061	1.400504229	0.8587831919	-0.9005042295
+135	15	1.25540346966400	1.372187280	0.9337018774	-0.8721872804
+135	20	1.22909304697836	1.341671954	1.006343538	-0.8416719536
+135	25	1.20435932426629	1.308778994	1.077139839	-0.8087789945
+135	30	1.18118783612673	1.273268953	1.146447038	-0.7732689527
+135	35	1.15962910308721	1.234842205	1.214542052	-0.7348422054
+135	40	1.13980647540834	1.193139572	1.281613160	-0.6931395725
+135	45	1.12193004826027	1.147746615	1.347746615	-0.6477466154
 
 
 ### +y patch
-# N_rho = 10
+# N_rho = 19
 # 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	1.12189695421493	1.147727509	1.347727509	0.6477275085
-40	45	1.12778986264788	1.075481399	1.385832025	0.6858320251
-35	45	1.13596541713664	1.004042176	1.419846829	0.7198468288
-30	45	1.14613273111279	0.9331974537	1.450320000	0.7503199995
-25	45	1.15809047940611	0.8626509531	1.477707479	0.7777074787
-20	45	1.17171278040784	0.7920418757	1.502378459	0.8023784589
-15	45	1.18694041948016	0.7209570159	1.524622810	0.8246228097
-10	45	1.20377678621629	0.6489361155	1.544658684	0.8446586839
-5	45	1.22227976909944	0.5754706243	1.562633184	0.8626331836
-0	45	1.24255989506847	0.5000000000	1.578622528	0.8786225278
--5	45	1.26478375312941	0.4219049338	1.592630691	0.8926306915
--10	45	1.28917283997677	0.3404983406	1.604578861	0.9045788611
--15	45	1.31600861447709	0.2550160635	1.614292498	0.9142924981
--20	45	1.34564049333737	0.1646077604	1.621482605	0.9214826051
--25	45	1.37848609290628	0.06833312740	1.625712596	0.9257125956
--30	45	1.41504151914738	-0.03483542207	1.626362125	0.9263621247
--35	45	1.45587642915735	-0.1459907248	1.622570366	0.9225703660
--40	45	1.50163068102096	-0.2662425015	1.613172254	0.9131722540
--45	45	1.55298534487971	-0.3966165069	1.596616507	0.8966165069
-
-45	50	1.10251490754936	1.170461809	1.370461809	0.5625842569
-40	50	1.10627355680372	1.098180037	1.412883208	0.5981800372
-35	50	1.11270492907874	1.025957916	1.451145749	0.6302861208
-30	50	1.12153852659294	0.9536418622	1.485730754	0.6593063857
-25	50	1.13257850990463	0.8809931474	1.517042441	0.6855800112
-20	50	1.14569701954130	0.8077037526	1.545409112	0.7093824741
-15	50	1.16082833772153	0.7334065499	1.571085103	0.7309271887
-10	50	1.17796789523928	0.6576812428	1.594254766	0.7503688440
-5	50	1.19716633236038	0.5800547426	1.615029895	0.7678012477
-0	50	1.21852760749705	0.5000000000	1.633446303	0.7832544482
--5	50	1.24221269036176	0.4169329988	1.649460169	0.7966916775
--10	50	1.26843615441035	0.3302087943	1.662933778	0.8079973781
--15	50	1.29747012003392	0.2391190286	1.673621040	0.8169650555
--20	50	1.32964767674650	0.1428919926	1.681146187	0.8232794033
--25	50	1.36535806256028	0.04070109835	1.684969673	0.8264876895
--30	50	1.40505181196717	-0.06831781104	1.684355324	0.8259721890
--35	50	1.44922357424340	-0.1850249248	1.678316981	0.8209054179
--40	50	1.49840301504817	-0.3102107890	1.665571618	0.8102107890
--45	50	1.55311016708142	-0.4444779798	1.644477980	0.7925111245
-
-45	55	1.08679413043384	1.188687610	1.388687610	0.4822242561
-40	55	1.08856940243384	1.116614673	1.434852752	0.5145494362
-35	55	1.09331591537665	1.043971475	1.476871778	0.5439714751
-30	55	1.10080019937714	0.9706306756	1.515156242	0.5707785453
-25	55	1.11084947378144	0.8963854656	1.550051374	0.5952123800
-20	55	1.12334977402069	0.8209615909	1.581834724	0.6174673209
-15	55	1.13824251730256	0.7440251545	1.610714275	0.6376890005
-10	55	1.15552536596280	0.6651882477	1.636829106	0.6559748019
-5	55	1.17524916427314	0.5840105483	1.660244962	0.6723707606
-0	55	1.19751468902785	0.5000000000	1.680946606	0.6868662078
--5	55	1.22247734662486	0.4126134310	1.698833055	0.6993904343
--10	55	1.25034170328487	0.3212572731	1.713700378	0.7098006459
--15	55	1.28136397104572	0.2252913713	1.725226560	0.7178713654
--20	55	1.31585089942004	0.1240373143	1.732948990	0.7232786691
--25	55	1.35415171730442	0.01679676534	1.736232681	0.7255779344
--30	55	1.39665669127524	-0.09711969761	1.734241654	0.7241838028
--35	55	1.44377394539194	-0.2183393489	1.725894909	0.7183393489
--40	55	1.49591234071521	-0.3473520353	1.709834832	0.7070939619
--45	55	1.55343753559607	-0.4843935976	1.684393598	0.6892798176
-
-45	60	1.07415590984598	1.203200109	1.403200109	0.4059927724
-40	60	1.07416022240949	1.131454629	1.452538322	0.4344782029
-35	60	1.07735531091310	1.058622080	1.497795010	0.4606071639
-30	60	1.08355367627166	0.9845799355	1.539317069	0.4845799355
-25	60	1.09261627516558	0.9091340778	1.577390861	0.5065618499
-20	60	1.10445366928895	0.8320281277	1.612239783	0.5266818845
-15	60	1.11902422034019	0.7529494096	1.644020048	0.5450302290
-10	60	1.13633649976920	0.6715342971	1.672819340	0.5616575081
-5	60	1.15644712326110	0.5873705725	1.698650214	0.5765709696
-0	60	1.17945731903060	0.5000000000	1.721440001	0.5897286595
--5	60	1.20551791514426	0.4089220871	1.741025309	0.6010362421
--10	60	1.23482160968391	0.3135990027	1.757132587	0.6103357838
--15	60	1.26760457843463	0.2134647992	1.769363928	0.6173975514
--20	60	1.30414052686011	0.1079406955	1.777174086	0.6219067486
--25	60	1.34473134898162	-0.003539470205	1.779843879	0.6234481540
--30	60	1.38969858242795	-0.1214920997	1.776455893	0.6214920997
--35	60	1.43936041619129	-0.2463262134	1.765864294	0.6153770371
--40	60	1.49400595327938	-0.3782646711	1.746675077	0.6042981375
--45	60	1.55386084445558	-0.5172407056	1.717240706	0.5873041952
-
-45	65	1.06413818149931	1.214614477	1.414614477	0.3332302032
-40	65	1.06262128403836	1.143233035	1.466575280	0.3574599235
-35	65	1.06445033030707	1.070350916	1.514545523	0.3798288155
-30	65	1.06948524882430	0.9958377780	1.558816224	0.4004725821
-25	65	1.07762528688392	0.9194997181	1.599620049	0.4194997181
-20	65	1.08881133965086	0.8410868245	1.637128349	0.4369901256
-15	65	1.10302560609299	0.7602982380	1.671446249	0.4529928255
-10	65	1.12029279115040	0.6767869159	1.702608422	0.4675239852
-5	65	1.14067981344222	0.5901634005	1.730572383	0.4805637946
-0	65	1.16429134824054	0.5000000000	1.755206315	0.4920507858
--5	65	1.19127482368055	0.4058373895	1.776283563	0.5018792679
--10	65	1.22181034628277	0.3071931868	1.793461774	0.5098895992
--15	65	1.25611172257020	0.2035756321	1.806270802	0.5158625468
--20	65	1.29441625386890	0.09450428775	1.814090313	0.5195088449
--25	65	1.33697567731589	-0.02046005842	1.816130197	0.5204600584
--30	65	1.38404083145939	-0.1416729275	1.811410112	0.5182590467
--35	65	1.43584326757495	-0.2693496813	1.798745214	0.5123533076
--40	65	1.49256244126859	-0.4034878962	1.776734946	0.5020897512
--45	65	1.55430230531580	-0.5437807308	1.743780731	0.4867229482
-
-45	70	1.05637914466490	1.223399014	1.423399014	0.2632957086
-40	70	1.05360928435368	1.152364411	1.477457630	0.2829714357
-35	70	1.05429174282035	1.079508460	1.527623852	0.3012304474
-30	70	1.05832983785367	1.004686769	1.574143125	0.3181620781
-25	70	1.06565961699011	0.9276982733	1.617201907	0.3338341929
-20	70	1.07625390025411	0.8482925271	1.656925853	0.3482925271
-15	70	1.09012031724995	0.7661734624	1.693372885	0.3615581618
-10	70	1.10730240483638	0.6810045906	1.726528044	0.3736256527
-5	70	1.12787986486095	0.5924139868	1.756296703	0.3844605583
-0	70	1.15196284348725	0.5000000000	1.782490983	0.3939944968
--5	70	1.17969668004243	0.4033403496	1.804824859	0.4021233629
--10	70	1.21124948451429	0.3020037560	1.822892499	0.4086994459
--15	70	1.24681255479351	0.1955671686	1.836158794	0.4135279825
--20	70	1.28658720713890	0.08364033845	1.843938768	0.4163596616
--25	70	1.33077686243605	-0.03410203134	1.845385502	0.4168862297
--30	70	1.37956637786362	-0.1578751467	1.839473179	0.4147343200
--35	70	1.43310910380301	-0.2877315323	1.824997218	0.4094655009
--40	70	1.49149033183075	-0.4234876967	1.800569780	0.4005746407
--45	70	1.55471275067589	-0.5646534217	1.764653422	0.3875021553
-
-45	75	1.05060549333141	1.229904585	1.429904585	0.1955773440
-40	75	1.04685891888946	1.159165203	1.485562498	0.2104908371
-35	75	1.04663438912119	1.086366462	1.537418094	0.2243855019
-30	75	1.04987137806708	1.011348751	1.585682017	0.2373177813
-25	75	1.05653816728825	0.9339012685	1.630504273	0.2493278685
-20	75	1.06663648722307	0.8537693240	1.671973229	0.2604394418
-15	75	1.08019776084048	0.7706573832	1.710107105	0.2706573832
-10	75	1.09728388817885	0.6842349721	1.744848448	0.2799662977
-5	75	1.11798751973157	0.5941428332	1.776057507	0.2883287401
-0	75	1.14242497270940	0.5000000000	1.803497786	0.2956813405
--5	75	1.17074032004987	0.4014149901	1.826831819	0.3019336759
--10	75	1.20309057654393	0.2979999878	1.845598997	0.3069623260
--15	75	1.23964723687173	0.1893905085	1.859210403	0.3106094915
--20	75	1.28057967539843	0.07527253992	1.866929106	0.3126777116
--25	75	1.32604880108619	-0.04458445009	1.867865122	0.3129285163
--30	75	1.37618312939402	-0.1702816547	1.860961881	0.3110787986
--35	75	1.43107066586957	-0.3017430457	1.845007733	0.3068038973
--40	75	1.49072121447735	-0.4386475425	1.818636581	0.2997377685
--45	75	1.55505815187040	-0.5803713492	1.780371349	0.2894846305
-
-45	80	1.04661722850849	1.234383933	1.434383933	0.1294917016
-40	80	1.04217348616264	1.163867426	1.491166389	0.1395039807
-35	80	1.04129443316489	1.091127577	1.544217671	0.1488583529
-30	80	1.04394656922598	1.015991899	1.593724186	0.1575876873
-25	80	1.05012297124953	0.9382405032	1.639809792	0.1657138230
-20	80	1.05984815682815	0.8576136543	1.682535440	0.1732475076
-15	80	1.07317277374460	0.7738144718	1.721889521	0.1801866938
-10	80	1.09017394101522	0.6865155372	1.757782175	0.1865155372
-5	80	1.11095534572953	0.5953660542	1.790038987	0.1922032835
-0	80	1.13563901929496	0.5000000000	1.818386111	0.1972016462
--5	80	1.16436793726847	0.4000489298	1.842445961	0.2014440469
--10	80	1.19729089382724	0.2951580515	1.861716418	0.2048419485
--15	80	1.23456367940485	0.1850074749	1.875568108	0.2072843750
--20	80	1.27633060887370	0.06934090023	1.883226152	0.2086346949
--25	80	1.32271947583727	-0.05200130320	1.883770615	0.2087306984
--30	80	1.37381588352982	-0.1790365406	1.876125788	0.2073827092
--35	80	1.42965881608051	-0.3115963408	1.859079696	0.2043770233
--40	80	1.49020327062135	-0.4492636514	1.831288367	0.1994766620
--45	80	1.55531657760720	-0.5913249603	1.791324960	0.1924300352
-
-45	85	1.04427646917005	1.237006010	1.437006010	0.06447967078
-40	85	1.03941493673227	1.166627572	1.494455804	0.06950587650
-35	85	1.03814095078198	1.093929902	1.548219805	0.07420961715
-30	85	1.04043760842423	1.018731993	1.598470167	0.07860595412
-25	85	1.04631351889555	0.9408076562	1.645315069	0.08270435202
-20	85	1.05580770521754	0.8598933117	1.688798747	0.08650868090
-15	85	1.06898324649600	0.7756905486	1.728891134	0.09001631027
-10	85	1.08592724958442	0.6878732424	1.765482104	0.09321760530
-5	85	1.10675075703651	0.5960953985	1.798375431	0.09609539849
-0	85	1.13157975154101	0.5000000000	1.827273749	0.09862367372
--5	85	1.16055639497315	0.3992328412	1.851773895	0.1007671588
--10	85	1.19382434419468	0.2934597824	1.871347781	0.1024796519
--15	85	1.23152944271690	0.1823888225	1.885341052	0.1037039044
--20	85	1.27380007967209	0.06579959887	1.892955798	0.1043701084
--25	85	1.32074305775668	-0.05642371162	1.893254500	0.1043962415
--30	85	1.37241716549239	-0.1842473641	1.885151200	0.1036872945
--35	85	1.42883103464261	-0.3174472603	1.867435675	0.1021373870
--40	85	1.48990642341399	-0.4555497678	1.838779869	0.09963032876
--45	85	1.55547711300054	-0.5977897269	1.797789727	0.09604415604
-
-45	90	1.04350440696558	1.237869042	1.437869042	0.000000000
-40	90	1.03850363503090	1.167537269	1.495539939	0.000000000
-35	90	1.03709756552134	1.094854726	1.549540591	0.000000000
-30	90	1.03927488809790	1.019637444	1.600038455	0.000000000
-25	90	1.04504949604678	0.9416570015	1.647136496	0.000000000
-20	90	1.05446538435962	0.8606484019	1.690873341	0.000000000
-15	90	1.06758992734031	0.7763126056	1.731212683	0.000000000
-10	90	1.08451370994662	0.6883238294	1.768037510	0.000000000
-5	90	1.10535036386047	0.5963376320	1.801144172	0.000000000
-0	90	1.13022724916865	0.5000000000	1.830227249	0.000000000
--5	90	1.15928629014787	0.3989615423	1.854874856	0.000000000
--10	90	1.19266939462782	0.2928951331	1.874550067	0.000000000
--15	90	1.23051898217342	0.1815182521	1.888590065	0.000000000
--20	90	1.27295798203592	0.06462272854	1.896189222	0.000000000
--25	90	1.32008601522769	-0.05789245710	1.896404235	0.000000000
--30	90	1.37195275792065	-0.1859763790	1.888145941	0.000000000
--35	90	1.42855657692930	-0.3193863905	1.870205040	0.000000000
--40	90	1.48980811155370	-0.4576301949	1.841259225	0.000000000
--45	90	1.55553002338312	-0.5999258279	1.799925828	0.000000000
+45	45	1.12193007661169	1.147746632	1.347746632	0.6477466317
+40	45	1.12782303757573	1.075498328	1.385852199	0.6858521995
+35	45	1.13599936926416	1.004057241	1.419868344	0.7198683438
+30	45	1.14616810605958	0.9332108242	1.450343158	0.7503431579
+25	45	1.15812637345638	0.8626621932	1.477731583	0.7777315830
+20	45	1.17174912791736	0.7920509350	1.502403349	0.8024033494
+15	45	1.18697797888840	0.7209640079	1.524648904	0.8246489040
+10	45	1.20381548433786	0.6489409033	1.544685837	0.8446858374
+5	45	1.22231934838192	0.5754730682	1.562661117	0.8626611170
+0	45	1.24260112095658	0.5000000000	1.578651679	0.8786516789
+-5	45	1.26482657110581	0.4219022899	1.592660911	0.8926609106
+-10	45	1.28921728677031	0.3404928415	1.604610048	0.9046100483
+-15	45	1.31605591523496	0.2550072581	1.614325360	0.9143253602
+-20	45	1.34568995864774	0.1645954314	1.621516478	0.9215164785
+-25	45	1.37853871805239	0.06831664807	1.625747936	0.9257479357
+-30	45	1.41509691564112	-0.03485635998	1.626398390	0.9263983902
+-35	45	1.45593502503205	-0.1460167245	1.622607497	0.9226074975
+-40	45	1.50169252022623	-0.2662740565	1.613209860	0.9132098597
+-45	45	1.55305198729294	-0.3966549829	1.596654983	0.8966549829
+
+45	50	1.10254793828210	1.170481896	1.370481896	0.5626011116
+40	50	1.10630750296870	1.098198392	1.412905083	0.5981983924
+35	50	1.11274013194412	1.025974555	1.451169513	0.6303060613
+30	50	1.12157463991052	0.9536564694	1.485756054	0.6593276152
+25	50	1.13261486812095	0.8810053781	1.517068670	0.6856020198
+20	50	1.14573346687973	0.8077135413	1.545436006	0.7094050412
+15	50	1.16086567357333	0.7334140570	1.571113120	0.7309506976
+10	50	1.17800626197189	0.6576863785	1.594283892	0.7503932837
+5	50	1.19720579476633	0.5800573815	1.615060058	0.7678265569
+0	50	1.21856928831287	0.5000000000	1.633478232	0.7832812401
+-5	50	1.24225644705996	0.4169300727	1.649493613	0.7967197409
+-10	50	1.26848212042031	0.3302026413	1.662968673	0.8080266586
+-15	50	1.29751924254557	0.2391091516	1.673657901	0.8169959860
+-20	50	1.32969924363394	0.1428781431	1.681184238	0.8233113320
+-25	50	1.36541295465607	0.04068263295	1.685009272	0.8265209171
+-30	50	1.40510936664415	-0.06834109086	1.684395645	0.8260060230
+-35	50	1.44928483196288	-0.1850538804	1.678358334	0.8209401171
+-40	50	1.49846663172134	-0.3102451875	1.665612613	0.8102451875
+-45	50	1.55317818328720	-0.4445193418	1.644519342	0.7925458314
+
+45	55	1.08682805279973	1.188709106	1.388709106	0.4822393079
+40	55	1.08860434016971	1.116634463	1.434876337	0.5145659507
+35	55	1.09335121270965	1.043989037	1.476896859	0.5439890371
+30	55	1.10083593807763	0.9706459551	1.515182707	0.5707970762
+25	55	1.11088568286727	0.8963983861	1.550079082	0.5952317815
+20	55	1.12338653042404	0.8209720929	1.581863577	0.6174875246
+15	55	1.13828066924618	0.7440333338	1.610744801	0.6377103748
+10	55	1.15556522568736	0.6651939458	1.636861422	0.6559974297
+5	55	1.17529042952463	0.5840134981	1.660278678	0.6723943688
+0	55	1.19755837442633	0.5000000000	1.680982391	0.6868912647
+-5	55	1.22252328470179	0.4126101472	1.698870589	0.6994167159
+-10	55	1.25039024419369	0.3212503339	1.713739732	0.7098282019
+-15	55	1.28141558086683	0.2252803068	1.725267853	0.7179002793
+-20	55	1.31590522074593	0.1240217937	1.732991632	0.7233085277
+-25	55	1.35420934741004	0.01677620114	1.736276781	0.7256088136
+-30	55	1.39671708632609	-0.09714551861	1.734286378	0.7242151184
+-35	55	1.44383826801640	-0.2183713522	1.725940615	0.7183713522
+-40	55	1.49597988418424	-0.3473902950	1.709880428	0.7071258886
+-45	55	1.55350836012163	-0.4844384782	1.684438478	0.6893112433
+
+45	60	1.07419065140157	1.203222853	1.403222853	0.4060059035
+40	60	1.07419669526625	1.131476070	1.452563875	0.4344929555
+35	60	1.07739168039506	1.058640938	1.497821942	0.4606227131
+30	60	1.08358982530841	0.9845961018	1.539345070	0.4845961018
+25	60	1.09265265993961	0.9091477022	1.577420079	0.5065787187
+20	60	1.10449069265284	0.8320392579	1.612270363	0.5266995399
+15	60	1.11906305157940	0.7529581872	1.644052807	0.5450491420
+10	60	1.13637715687176	0.6715404344	1.672854147	0.5616776037
+5	60	1.15648927685140	0.5873737573	1.698686615	0.5765919862
+0	60	1.17950214968400	0.5000000000	1.721478825	0.5897510748
+-5	60	1.20556519981547	0.4089185147	1.741066141	0.6010598169
+-10	60	1.23487196218485	0.3135914018	1.757175694	0.6103606716
+-15	60	1.26765790175015	0.2134527458	1.769408912	0.6174235230
+-20	60	1.30419698917039	0.1079237215	1.777220722	0.6219336738
+-25	60	1.34479119295132	-0.003561878994	1.779891934	0.6234758990
+-30	60	1.38976156355790	-0.1215202657	1.776504678	0.6215202657
+-35	60	1.43942726255973	-0.2463608740	1.765913795	0.6154056162
+-40	60	1.49407730943463	-0.3783066185	1.746725068	0.6043269998
+-45	60	1.55393448345859	-0.5172889136	1.717288914	0.5873320281
+
+45	65	1.06417321459119	1.214638003	1.414638003	0.3332411736
+40	65	1.06265777861759	1.143255126	1.466601607	0.3574722001
+35	65	1.06448674845601	1.070370429	1.514573391	0.3798418106
+30	65	1.06952175248814	0.9958547019	1.558845537	0.4004862510
+25	65	1.07766271501069	0.9195142882	1.599651294	0.4195142882
+20	65	1.08885024597652	0.8410990126	1.637161835	0.4370057405
+15	65	1.10306640870467	0.7603078668	1.671482184	0.4530095824
+10	65	1.12033534089677	0.6767936304	1.702646502	0.4675417422
+5	65	1.14072354362926	0.5901668571	1.730611892	0.4805822180
+0	65	1.16433738195291	0.5000000000	1.755248036	0.4920702404
+-5	65	1.19132271783927	0.4058336037	1.776326834	0.5018994456
+-10	65	1.22186095605365	0.3071852004	1.793507068	0.5099107198
+-15	65	1.25616463849533	0.2035631447	1.806317405	0.5158842784
+-20	65	1.29447252003205	0.09448666151	1.814138741	0.5195314271
+-25	65	1.33703541845154	-0.02048331454	1.816180070	0.5204833145
+-30	65	1.38410455327955	-0.1417024704	1.811461282	0.5182829076
+-35	65	1.43591125571074	-0.2693861106	1.798797240	0.5123775679
+-40	65	1.49263662494970	-0.4035328016	1.776788462	0.5021147062
+-45	65	1.55437952820525	-0.5438325893	1.743832589	0.4867471302
+
+45	70	1.05641550883237	1.223423916	1.423423916	0.2633047722
+40	70	1.05364667664013	1.152387563	1.477485222	0.2829814783
+35	70	1.05432849357324	1.079528661	1.527652702	0.3012409478
+30	70	1.05836611080057	1.004704066	1.574173085	0.3181729827
+25	70	1.06569707064468	0.9277133051	1.617234143	0.3338459258
+20	70	1.07629304873891	0.8483051961	1.656960661	0.3483051961
+15	70	1.09016150002097	0.7661835180	1.693410413	0.3615718208
+10	70	1.10734565433578	0.6810116604	1.726568139	0.3736402460
+5	70	1.12792454993107	0.5924176481	1.756338552	0.3844757901
+0	70	1.15200993713382	0.5000000000	1.782535237	0.3940106038
+-5	70	1.17974533854538	0.4033363627	1.804870430	0.4021399491
+-10	70	1.21130063522965	0.3019953947	1.822939918	0.4087167051
+-15	70	1.24686568363288	0.1955541962	1.836207208	0.4135456036
+-20	70	1.28664430139443	0.08362186186	1.843989532	0.4163781381
+-25	70	1.33083779830729	-0.03412648771	1.845437949	0.4169053187
+-30	70	1.37963204813387	-0.1579064630	1.839527421	0.4147540622
+-35	70	1.43317891870087	-0.2877699072	1.825052023	0.4094854483
+-40	70	1.49156684643110	-0.4235350723	1.800626240	0.4005951905
+-45	70	1.55479315249976	-0.5647084802	1.764708480	0.3875221950
+
+45	75	1.05064262545511	1.229930382	1.429930382	0.1955842564
+40	75	1.04689712646397	1.159189261	1.485591169	0.2104985194
+35	75	1.04667201108879	1.086387539	1.537448195	0.2243935676
+30	75	1.04990866530149	1.011366912	1.585713473	0.2373262099
+25	75	1.05657713271279	0.9339172709	1.630538590	0.2493370638
+20	75	1.06667721697059	0.8537828327	1.672010344	0.2604493868
+15	75	1.08024046501225	0.7706680832	1.710147039	0.2706680832
+10	75	1.09732850592601	0.6842424634	1.744890933	0.2799776817
+5	75	1.11803313925797	0.5941466747	1.776101416	0.2883405053
+0	75	1.14247222958242	0.5000000000	1.803543432	0.2956935715
+-5	75	1.17078805011161	0.4014109709	1.826877759	0.3019459855
+-10	75	1.20314061729462	0.2979915859	1.845646646	0.3069750936
+-15	75	1.23969933252302	0.1893774553	1.859259119	0.3106225447
+-20	75	1.28063630844492	0.07525375655	1.866980713	0.3126915396
+-25	75	1.32610966701094	-0.04460944664	1.867918727	0.3129428798
+-30	75	1.37624951803305	-0.1703139899	1.861017888	0.3110938054
+-35	75	1.43114074216712	-0.3017823053	1.845063801	0.3068189208
+-40	75	1.49079828564627	-0.4386960712	1.818694415	0.2997532651
+-45	75	1.55514123631156	-0.5804290718	1.780429072	0.2895000973
+
+45	80	1.04665437267913	1.234409996	1.434409996	0.1294962972
+40	80	1.04221147735175	1.163891626	1.491195231	0.1395090661
+35	80	1.04133178120372	1.091148779	1.544247950	0.1488636920
+30	80	1.04398367632762	1.016010240	1.593755953	0.1575932887
+25	80	1.05016225401947	0.9382568968	1.639844948	0.1657200220
+20	80	1.05988942829821	0.8576275801	1.682573701	0.1732542540
+15	80	1.07321623408813	0.7738255605	1.721930904	0.1801939908
+10	80	1.09021951177046	0.6865233338	1.757826392	0.1865233338
+5	80	1.11100189794080	0.5953700503	1.790084663	0.1922113373
+0	80	1.13568678335331	0.5000000000	1.818433149	0.1972099403
+-5	80	1.16441600953859	0.4000448032	1.842493128	0.2014523637
+-10	80	1.19734186723401	0.2951493306	1.861765877	0.2048506694
+-15	80	1.23461709134396	0.1849938472	1.875618967	0.2072933429
+-20	80	1.27638914658637	0.06932114845	1.883280420	0.2086442637
+-25	80	1.32278260650226	-0.05202764908	1.883827114	0.2087406607
+-30	80	1.37388496832681	-0.1790706871	1.876184932	0.2073931378
+-35	80	1.42973096573816	-0.3116372991	1.859138191	0.2043873374
+-40	80	1.49028188456009	-0.4493137287	1.831348047	0.1994871852
+-45	80	1.55540217556115	-0.5913850222	1.791385022	0.1924406258
+
+45	85	1.04431411091113	1.237032575	1.437032575	0.06448199500
+40	85	1.03945334962736	1.166652208	1.494485164	0.06950844518
+35	85	1.03817875542672	1.093951530	1.548250694	0.07421231954
+30	85	1.04047527016352	1.018750770	1.598502690	0.07860879949
+25	85	1.04635353920432	0.9408245166	1.645351227	0.08270751537
+20	85	1.05584964272857	0.8599076070	1.688838023	0.08651211709
+15	85	1.06902722812486	0.7757018914	1.728933467	0.09002001385
+10	85	1.08597313323832	0.6878811806	1.765527124	0.09322154402
+5	85	1.10679723096819	0.5960994337	1.798421553	0.09609943366
+0	85	1.13162675994437	0.5000000000	1.827320578	0.09862777078
+-5	85	1.16060361683469	0.3992287411	1.851820760	0.1007712589
+-10	85	1.19387471638890	0.2934510676	1.871397205	0.1024839759
+-15	85	1.23158244539960	0.1823751531	1.885392066	0.1037083676
+-20	85	1.27385853072456	0.06577967465	1.893010539	0.1043748976
+-25	85	1.32080631225178	-0.05645036049	1.893311649	0.1044012413
+-30	85	1.37248662436597	-0.1842819943	1.885211181	0.1036925422
+-35	85	1.42890327107050	-0.3174885874	1.867494697	0.1021425507
+-40	85	1.48998485758370	-0.4556000715	1.838839818	0.09963557367
+-45	85	1.55556348466607	-0.5978506844	1.797850684	0.09604948913
+
+45	90	1.04354246535852	1.237895954	1.437895954	0.000000000
+40	90	1.03854249262460	1.167562246	1.495569705	0.000000000
+35	90	1.03713588355161	1.094876704	1.549571979	0.000000000
+30	90	1.03931315162516	1.019656576	1.600071592	0.000000000
+25	90	1.04509022940925	0.9416742161	1.647173413	0.000000000
+20	90	1.05450807863569	0.8606630042	1.690913460	0.000000000
+15	90	1.06763467385619	0.7763241868	1.731255905	0.000000000
+10	90	1.08456033997191	0.6883319266	1.768083431	0.000000000
+5	90	1.10539748933466	0.5963417392	1.801191118	0.000000000
+0	90	1.13027473556218	0.5000000000	1.830274736	0.000000000
+-5	90	1.15933404408257	0.3989573803	1.854922428	0.000000000
+-10	90	1.19272042486505	0.2928862718	1.874600322	0.000000000
+-15	90	1.23057274309121	0.1815043377	1.888641994	0.000000000
+-20	90	1.27301732239137	0.06460243294	1.896244984	0.000000000
+-25	90	1.32015023921396	-0.05791959933	1.896462442	0.000000000
+-30	90	1.37202326163511	-0.1860116308	1.888206999	0.000000000
+-35	90	1.42862975988282	-0.3194283665	1.870264988	0.000000000
+-40	90	1.48988733831903	-0.4576811209	1.841319916	0.000000000
+-45	90	1.55561741035595	-0.5999876198	1.799987620	0.000000000
+
+45	95	1.04431411091113	1.237032575	1.437032575	-0.06448199500
+40	95	1.03945334962736	1.166652208	1.494485164	-0.06950844518
+35	95	1.03817875542672	1.093951530	1.548250694	-0.07421231954
+30	95	1.04047527016352	1.018750770	1.598502690	-0.07860879949
+25	95	1.04635353920432	0.9408245166	1.645351227	-0.08270751537
+20	95	1.05584964272857	0.8599076070	1.688838023	-0.08651211709
+15	95	1.06902722812486	0.7757018914	1.728933467	-0.09002001385
+10	95	1.08597313323832	0.6878811806	1.765527124	-0.09322154402
+5	95	1.10679723096819	0.5960994337	1.798421553	-0.09609943366
+0	95	1.13162675994437	0.5000000000	1.827320578	-0.09862777078
+-5	95	1.16060361683469	0.3992287411	1.851820760	-0.1007712589
+-10	95	1.19387471638890	0.2934510676	1.871397205	-0.1024839759
+-15	95	1.23158244539960	0.1823751531	1.885392066	-0.1037083676
+-20	95	1.27385853072456	0.06577967465	1.893010539	-0.1043748976
+-25	95	1.32080631225178	-0.05645036049	1.893311649	-0.1044012413
+-30	95	1.37248662436597	-0.1842819943	1.885211181	-0.1036925422
+-35	95	1.42890327107050	-0.3174885874	1.867494697	-0.1021425507
+-40	95	1.48998485758370	-0.4556000715	1.838839818	-0.09963557367
+-45	95	1.55556348466607	-0.5978506844	1.797850684	-0.09604948913
+
+45	100	1.04665437267913	1.234409996	1.434409996	-0.1294962972
+40	100	1.04221147735174	1.163891626	1.491195231	-0.1395090661
+35	100	1.04133178120372	1.091148779	1.544247950	-0.1488636920
+30	100	1.04398367632762	1.016010240	1.593755953	-0.1575932887
+25	100	1.05016225401947	0.9382568968	1.639844948	-0.1657200220
+20	100	1.05988942829821	0.8576275801	1.682573701	-0.1732542540
+15	100	1.07321623408813	0.7738255605	1.721930904	-0.1801939908
+10	100	1.09021951177046	0.6865233338	1.757826392	-0.1865233338
+5	100	1.11100189794080	0.5953700503	1.790084663	-0.1922113373
+0	100	1.13568678335331	0.5000000000	1.818433149	-0.1972099403
+-5	100	1.16441600953859	0.4000448032	1.842493128	-0.2014523637
+-10	100	1.19734186723401	0.2951493306	1.861765877	-0.2048506694
+-15	100	1.23461709134396	0.1849938472	1.875618967	-0.2072933429
+-20	100	1.27638914658637	0.06932114845	1.883280420	-0.2086442637
+-25	100	1.32278260650226	-0.05202764908	1.883827114	-0.2087406607
+-30	100	1.37388496832681	-0.1790706871	1.876184932	-0.2073931378
+-35	100	1.42973096573816	-0.3116372991	1.859138191	-0.2043873374
+-40	100	1.49028188456009	-0.4493137287	1.831348047	-0.1994871852
+-45	100	1.55540217556115	-0.5913850222	1.791385022	-0.1924406258
+
+45	105	1.05064262545511	1.229930382	1.429930382	-0.1955842564
+40	105	1.04689712646397	1.159189261	1.485591169	-0.2104985194
+35	105	1.04667201108879	1.086387539	1.537448195	-0.2243935676
+30	105	1.04990866530149	1.011366912	1.585713473	-0.2373262099
+25	105	1.05657713271279	0.9339172709	1.630538590	-0.2493370638
+20	105	1.06667721697059	0.8537828327	1.672010344	-0.2604493868
+15	105	1.08024046501225	0.7706680832	1.710147039	-0.2706680832
+10	105	1.09732850592601	0.6842424634	1.744890933	-0.2799776817
+5	105	1.11803313925797	0.5941466747	1.776101416	-0.2883405053
+0	105	1.14247222958242	0.5000000000	1.803543432	-0.2956935715
+-5	105	1.17078805011161	0.4014109709	1.826877759	-0.3019459855
+-10	105	1.20314061729462	0.2979915859	1.845646646	-0.3069750936
+-15	105	1.23969933252302	0.1893774553	1.859259119	-0.3106225447
+-20	105	1.28063630844492	0.07525375655	1.866980713	-0.3126915396
+-25	105	1.32610966701094	-0.04460944664	1.867918727	-0.3129428798
+-30	105	1.37624951803305	-0.1703139899	1.861017888	-0.3110938054
+-35	105	1.43114074216712	-0.3017823053	1.845063801	-0.3068189208
+-40	105	1.49079828564627	-0.4386960712	1.818694415	-0.2997532651
+-45	105	1.55514123631156	-0.5804290718	1.780429072	-0.2895000973
+
+45	110	1.05641550883237	1.223423916	1.423423916	-0.2633047722
+40	110	1.05364667664013	1.152387563	1.477485222	-0.2829814783
+35	110	1.05432849357324	1.079528661	1.527652702	-0.3012409478
+30	110	1.05836611080057	1.004704066	1.574173085	-0.3181729827
+25	110	1.06569707064468	0.9277133051	1.617234143	-0.3338459258
+20	110	1.07629304873891	0.8483051961	1.656960661	-0.3483051961
+15	110	1.09016150002097	0.7661835180	1.693410413	-0.3615718208
+10	110	1.10734565433578	0.6810116604	1.726568139	-0.3736402460
+5	110	1.12792454993108	0.5924176481	1.756338552	-0.3844757901
+0	110	1.15200993713382	0.5000000000	1.782535237	-0.3940106038
+-5	110	1.17974533854539	0.4033363627	1.804870430	-0.4021399491
+-10	110	1.21130063522965	0.3019953947	1.822939918	-0.4087167051
+-15	110	1.24686568363288	0.1955541962	1.836207208	-0.4135456036
+-20	110	1.28664430139443	0.08362186186	1.843989532	-0.4163781381
+-25	110	1.33083779830729	-0.03412648771	1.845437949	-0.4169053187
+-30	110	1.37963204813387	-0.1579064630	1.839527421	-0.4147540622
+-35	110	1.43317891870087	-0.2877699072	1.825052023	-0.4094854483
+-40	110	1.49156684643110	-0.4235350723	1.800626240	-0.4005951905
+-45	110	1.55479315249976	-0.5647084802	1.764708480	-0.3875221950
+
+45	115	1.06417321459119	1.214638003	1.414638003	-0.3332411736
+40	115	1.06265777861759	1.143255126	1.466601607	-0.3574722001
+35	115	1.06448674845601	1.070370429	1.514573391	-0.3798418106
+30	115	1.06952175248814	0.9958547019	1.558845537	-0.4004862510
+25	115	1.07766271501069	0.9195142882	1.599651294	-0.4195142882
+20	115	1.08885024597652	0.8410990126	1.637161835	-0.4370057405
+15	115	1.10306640870467	0.7603078668	1.671482184	-0.4530095824
+10	115	1.12033534089677	0.6767936304	1.702646502	-0.4675417422
+5	115	1.14072354362926	0.5901668571	1.730611892	-0.4805822180
+0	115	1.16433738195292	0.5000000000	1.755248036	-0.4920702404
+-5	115	1.19132271783928	0.4058336037	1.776326834	-0.5018994456
+-10	115	1.22186095605365	0.3071852004	1.793507068	-0.5099107198
+-15	115	1.25616463849533	0.2035631447	1.806317405	-0.5158842784
+-20	115	1.29447252003205	0.09448666151	1.814138741	-0.5195314271
+-25	115	1.33703541845154	-0.02048331454	1.816180070	-0.5204833145
+-30	115	1.38410455327955	-0.1417024704	1.811461282	-0.5182829076
+-35	115	1.43591125571074	-0.2693861106	1.798797240	-0.5123775679
+-40	115	1.49263662494970	-0.4035328016	1.776788462	-0.5021147062
+-45	115	1.55437952820525	-0.5438325893	1.743832589	-0.4867471302
+
+45	120	1.07419065140157	1.203222853	1.403222853	-0.4060059035
+40	120	1.07419669526625	1.131476070	1.452563875	-0.4344929555
+35	120	1.07739168039506	1.058640938	1.497821942	-0.4606227131
+30	120	1.08358982530841	0.9845961018	1.539345070	-0.4845961018
+25	120	1.09265265993961	0.9091477022	1.577420079	-0.5065787187
+20	120	1.10449069265284	0.8320392579	1.612270363	-0.5266995399
+15	120	1.11906305157940	0.7529581872	1.644052807	-0.5450491420
+10	120	1.13637715687176	0.6715404344	1.672854147	-0.5616776037
+5	120	1.15648927685140	0.5873737573	1.698686615	-0.5765919862
+0	120	1.17950214968400	0.5000000000	1.721478825	-0.5897510748
+-5	120	1.20556519981547	0.4089185147	1.741066141	-0.6010598169
+-10	120	1.23487196218485	0.3135914018	1.757175694	-0.6103606716
+-15	120	1.26765790175015	0.2134527458	1.769408912	-0.6174235230
+-20	120	1.30419698917039	0.1079237215	1.777220722	-0.6219336738
+-25	120	1.34479119295132	-0.003561878994	1.779891934	-0.6234758990
+-30	120	1.38976156355790	-0.1215202657	1.776504678	-0.6215202657
+-35	120	1.43942726255973	-0.2463608740	1.765913795	-0.6154056162
+-40	120	1.49407730943463	-0.3783066185	1.746725068	-0.6043269998
+-45	120	1.55393448345859	-0.5172889136	1.717288914	-0.5873320281
+
+45	125	1.08682805279973	1.188709106	1.388709106	-0.4822393079
+40	125	1.08860434016971	1.116634463	1.434876337	-0.5145659507
+35	125	1.09335121270965	1.043989037	1.476896859	-0.5439890371
+30	125	1.10083593807763	0.9706459551	1.515182707	-0.5707970762
+25	125	1.11088568286727	0.8963983861	1.550079082	-0.5952317815
+20	125	1.12338653042404	0.8209720929	1.581863577	-0.6174875246
+15	125	1.13828066924618	0.7440333338	1.610744801	-0.6377103748
+10	125	1.15556522568736	0.6651939458	1.636861422	-0.6559974297
+5	125	1.17529042952464	0.5840134981	1.660278678	-0.6723943688
+0	125	1.19755837442633	0.5000000000	1.680982391	-0.6868912647
+-5	125	1.22252328470179	0.4126101472	1.698870589	-0.6994167159
+-10	125	1.25039024419370	0.3212503339	1.713739732	-0.7098282019
+-15	125	1.28141558086683	0.2252803068	1.725267853	-0.7179002793
+-20	125	1.31590522074593	0.1240217937	1.732991632	-0.7233085277
+-25	125	1.35420934741004	0.01677620114	1.736276781	-0.7256088136
+-30	125	1.39671708632609	-0.09714551861	1.734286378	-0.7242151184
+-35	125	1.44383826801640	-0.2183713522	1.725940615	-0.7183713522
+-40	125	1.49597988418424	-0.3473902950	1.709880428	-0.7071258886
+-45	125	1.55350836012163	-0.4844384782	1.684438478	-0.6893112433
+
+45	130	1.10254793828210	1.170481896	1.370481896	-0.5626011116
+40	130	1.10630750296870	1.098198392	1.412905083	-0.5981983924
+35	130	1.11274013194412	1.025974555	1.451169513	-0.6303060613
+30	130	1.12157463991052	0.9536564694	1.485756054	-0.6593276152
+25	130	1.13261486812095	0.8810053781	1.517068670	-0.6856020198
+20	130	1.14573346687973	0.8077135413	1.545436006	-0.7094050412
+15	130	1.16086567357333	0.7334140570	1.571113120	-0.7309506976
+10	130	1.17800626197189	0.6576863785	1.594283892	-0.7503932837
+5	130	1.19720579476633	0.5800573815	1.615060058	-0.7678265569
+0	130	1.21856928831288	0.5000000000	1.633478232	-0.7832812401
+-5	130	1.24225644705997	0.4169300727	1.649493613	-0.7967197409
+-10	130	1.26848212042031	0.3302026413	1.662968673	-0.8080266586
+-15	130	1.29751924254557	0.2391091516	1.673657901	-0.8169959860
+-20	130	1.32969924363394	0.1428781431	1.681184238	-0.8233113320
+-25	130	1.36541295465607	0.04068263295	1.685009272	-0.8265209171
+-30	130	1.40510936664415	-0.06834109086	1.684395645	-0.8260060230
+-35	130	1.44928483196288	-0.1850538804	1.678358334	-0.8209401171
+-40	130	1.49846663172134	-0.3102451875	1.665612613	-0.8102451875
+-45	130	1.55317818328720	-0.4445193418	1.644519342	-0.7925458314
+
+45	135	1.12193007661169	1.147746632	1.347746632	-0.6477466317
+40	135	1.12782303757573	1.075498328	1.385852199	-0.6858521995
+35	135	1.13599936926416	1.004057241	1.419868344	-0.7198683438
+30	135	1.14616810605958	0.9332108242	1.450343158	-0.7503431579
+25	135	1.15812637345638	0.8626621932	1.477731583	-0.7777315830
+20	135	1.17174912791736	0.7920509350	1.502403349	-0.8024033494
+15	135	1.18697797888840	0.7209640079	1.524648904	-0.8246489040
+10	135	1.20381548433786	0.6489409033	1.544685837	-0.8446858374
+5	135	1.22231934838192	0.5754730682	1.562661117	-0.8626611170
+0	135	1.24260112095658	0.5000000000	1.578651679	-0.8786516789
+-5	135	1.26482657110581	0.4219022899	1.592660911	-0.8926609106
+-10	135	1.28921728677031	0.3404928415	1.604610048	-0.9046100483
+-15	135	1.31605591523496	0.2550072581	1.614325360	-0.9143253602
+-20	135	1.34568995864774	0.1645954314	1.621516478	-0.9215164785
+-25	135	1.37853871805239	0.06831664807	1.625747936	-0.9257479357
+-30	135	1.41509691564112	-0.03485635998	1.626398390	-0.9263983902
+-35	135	1.45593502503205	-0.1460167245	1.622607497	-0.9226074975
+-40	135	1.50169252022623	-0.2662740565	1.613209860	-0.9132098597
+-45	135	1.55305198729294	-0.3966549829	1.596654983	-0.8966549829
 
 
 ### -x patch
-# N_rho = 10
+# N_rho = 19
 # 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	1.55553001232378	-0.5999258201	1.799925820	1.347020635e-16
--90	40	1.62544293702649	-0.7451615295	1.744814580	1.524883082e-16
--90	35	1.69913623128262	-0.8918509174	1.674584504	1.704525771e-16
--90	30	1.77608884226763	-1.038138057	1.588044421	1.883675848e-16
--90	25	1.85566169845394	-1.181800647	1.484236521	2.059611780e-16
--90	20	1.93708766429227	-1.320266984	1.362523001	2.229184135e-16
--90	15	2.01952552428226	-1.450711861	1.222691668	2.388933036e-16
--90	10	2.10204054348276	-1.570105824	1.065015510	2.535148472e-16
--90	5	2.18364815389740	-1.675338713	0.8903174768	2.664021592e-16
--90	-2.84217e-14	2.26333673362939	-1.763336734	0.7000000000	2.771788086e-16
--90	-5	2.34009217993321	-1.831187423	0.4960475280	2.854881215e-16
--90	-10	2.41291187729689	-1.876254324	0.2810022496	2.910072252e-16
--90	-15	2.48082468191216	-1.896292631	0.05791532476	2.934612100e-16
--90	-20	2.54292418452049	-1.889567091	-0.1697312941	2.926375690e-16
--90	-25	2.59838179906030	-1.854933658	-0.3981235993	2.883961967e-16
--90	-30	2.64645923664185	-1.791900929	-0.6232296183	2.806769137e-16
--90	-35	2.68651031995079	-1.700660421	-0.8409190155	2.695031740e-16
--90	-40	2.71799542780456	-1.582105294	-1.047093784	2.549843584e-16
--90	-45	2.74049339174097	-1.437821461	-1.237821461	2.373146850e-16
-
--85	45	1.55547709628153	-0.5977897151	1.797789715	0.09604415501
--85	40	1.62520122465397	-0.7421897162	1.742320933	0.1086775181
--85	35	1.69863372853795	-0.8878797186	1.671803841	0.1214237417
--85	30	1.77525322481329	-1.033020383	1.585089731	0.1341219045
--85	25	1.85442511865443	-1.175421351	1.481261807	0.1465803749
--85	20	1.93539484081614	-1.312561118	1.359718295	0.1585785497
--85	15	2.01733870961808	-1.441678619	1.220271218	0.1698748674
--85	10	2.09934325510315	-1.559818160	1.063201517	0.1802107379
--85	5	2.18045224242748	-1.663951690	0.8893212413	0.1893212413
--85	-2.84217e-14	2.25968079390659	-1.751082026	0.7000000000	0.1969441580
--85	-5	2.33604216131924	-1.818364184	0.4971694160	0.2028305840
--85	-10	2.40855956577743	-1.863212743	0.2833018323	0.2067543245
--85	-15	2.47628162795625	-1.883408928	0.06136750254	0.2085212617
--85	-20	2.53831455520056	-1.877215321	-0.1652356172	0.2079793913
--85	-25	2.59383471922733	-1.843457294	-0.3927720826	0.2050259467
--85	-30	2.64210054540591	-1.781586612	-0.6172746446	0.1996129634
--85	-35	2.68245655976602	-1.691718552	-0.8346578515	0.1917505269
--85	-40	2.71434360938100	-1.574653690	-1.040841146	0.1815086786
--85	-45	2.73731587267647	-1.431881363	-1.231881363	0.1690177185
-
--80	45	1.55531653584087	-0.5913249310	1.791324931	0.1924300301
--80	40	1.62447192226852	-0.7332184637	1.734793158	0.2174496883
--80	35	1.69712223290972	-0.8759226329	1.663431400	0.2426122835
--80	30	1.77274635159362	-1.017650746	1.576216067	0.2676027738
--80	25	1.85072402860885	-1.156309415	1.472349764	0.2920520383
--80	20	1.93033923522967	-1.289526828	1.351334499	0.3155418624
--80	15	2.01081922868322	-1.414729062	1.213050106	0.3376183943
--80	10	2.09131389093681	-1.529175780	1.057798439	0.3577984386
--80	5	2.17094747907815	-1.630074265	0.8863573507	0.3755895638
--80	-2.84217e-14	2.24881325045694	-1.714648724	0.7000000000	0.3905023229
--80	-5	2.32400315904817	-1.780248310	0.5005041228	0.4020692998
--80	-10	2.39561291783483	-1.824433329	0.2901396892	0.4098603108
--80	-15	2.46275237216289	-1.845065867	0.07164149467	0.4134983839
--80	-20	2.52456657795133	-1.840407083	-0.1518385144	0.4126769146
--80	-25	2.58024881724783	-1.809199180	-0.3767972618	0.4071741192
--80	-30	2.62905045756236	-1.750733944	-0.5994618486	0.3968651208
--80	-35	2.67028774926437	-1.664905556	-0.8158831895	0.3817312601
--80	-40	2.70335102180894	-1.552249933	-1.022042162	0.3618670344
--80	-45	2.72772399928148	-1.413972582	-1.213972582	0.3374850065
-
--75	45	1.55505808555465	-0.5803713031	1.780371303	0.2894846182
--75	40	1.62326270452850	-0.7180956601	1.722103619	0.3263877484
--75	35	1.69461388185227	-0.8558701502	1.649390500	0.3633043118
--75	30	1.76859450049017	-0.9920040472	1.561408938	0.3997812795
--75	25	1.84461149490549	-1.124568739	1.457548844	0.4353018817
--75	20	1.92201365664947	-1.251436261	1.337470666	0.4692959316
--75	15	2.00010749444492	-1.370326773	1.201152548	0.5011525483
--75	10	2.07815094975935	-1.478843230	1.048923452	0.5302294455
--75	5	2.15538514675264	-1.574547638	0.8814994003	0.5558733642
--75	-2.84217e-14	2.23103093950751	-1.655010404	0.7000000000	0.5774332974
--75	-5	2.30430015186117	-1.717877600	0.5059608529	0.5942785119
--75	-10	2.37439999852252	-1.760935551	0.3013360607	0.6058158551
--75	-15	2.44053731246177	-1.782178477	0.08849212019	0.6115078798
--75	-20	2.50192593228221	-1.779881719	-0.1298090833	0.6108924654
--75	-25	2.55779386876428	-1.752675954	-0.3504400489	0.6036027028
--75	-30	2.60738957365927	-1.699619978	-0.5699511865	0.5893863968
--75	-35	2.64999157930184	-1.620273249	-0.7846313118	0.5681255047
--75	-40	2.68492218498935	-1.514764494	-0.9905881437	0.5398545191
--75	-45	2.71155874316484	-1.383846192	-1.183846192	0.5047750658
-
--70	45	1.55471260430885	-0.5646533215	1.764653321	0.3875021188
--70	40	1.62157777737295	-0.6965612247	1.704034082	0.4355126693
--70	35	1.69112183527520	-0.8275383950	1.629552391	0.4831844606
--70	30	1.76283999948851	-0.9560436749	1.540647208	0.5299565575
--70	25	1.83618146849179	-1.080381876	1.436944171	0.5752119615
--70	20	1.91058028333545	-1.198747543	1.318293541	0.6182935410
--70	15	1.98544695271247	-1.309239895	1.184784369	0.6585094684
--70	10	2.06018559650627	-1.409901290	1.036767128	0.6951472198
--70	5	2.13417871644681	-1.498728775	0.8748661093	0.7274777805
--70	-2.84217e-14	2.20681191881917	-1.573724876	0.7000000000	0.7547741288
--70	-5	2.27745028228977	-1.632907323	0.5133947889	0.7763147781
--70	-10	2.34544250872353	-1.674349573	0.3166035048	0.7913985235
--70	-15	2.41012031588682	-1.696223788	0.1115236096	0.7993600866
--70	-20	2.47079365794268	-1.696848094	-0.09958731556	0.7995873156
--70	-25	2.52675028693127	-1.674747119	-0.3141012359	0.7915432182
--70	-30	2.57725656871350	-1.628723042	-0.5290188211	0.7747918241
--70	-35	2.62156342472158	-1.557939309	-0.7409846174	0.7490286524
--70	-40	2.65891672813125	-1.462012986	-0.9463243727	0.7141143261
--70	-45	2.68857146404411	-1.341109753	-1.141109753	0.6701091482
-
--65	45	1.55430212574563	-0.5437806102	1.743780610	0.4867228920
--65	40	1.61943591362105	-0.6682615032	1.680287796	0.5447692857
--65	35	1.68667572736694	-0.7906888410	1.603750056	0.6018580908
--65	30	1.75554219271208	-0.9097325030	1.513909440	0.6573690621
--65	25	1.82555522704920	-1.024004774	1.410655097	0.7106550973
--65	20	1.89624990158828	-1.132082138	1.294029318	0.7610523995
--65	15	1.96716535132749	-1.232503209	1.164222836	0.8078795141
--65	10	2.03785722898358	-1.323784672	1.021582445	0.8504447592
--65	5	2.10788184757947	-1.404412434	0.8666144986	0.8880421021
--65	-2.84217e-14	2.17679445103542	-1.472845762	0.7000000000	0.9199530871
--65	-5	2.24414001118401	-1.527517882	0.5226151702	0.9454471156
--65	-10	2.30943096835955	-1.566830169	0.3355620767	0.9637787358
--65	-15	2.37214526091455	-1.589173274	0.1402077085	0.9741974967
--65	-20	2.43171561139343	-1.592951783	-0.06177215087	0.9759594447
--65	-25	2.48752027796819	-1.576624538	-0.2683459252	0.9683459252
--65	-30	2.53887515562031	-1.538763205	-0.4770804854	0.9506908958
--65	-35	2.58502940360262	-1.478132815	-0.6851035087	0.9224184805
--65	-40	2.62516944062041	-1.393797940	-0.8890851528	0.8830924823
--65	-45	2.65843304247902	-1.285251926	-1.085251926	0.8324766447
-
--60	45	1.55386044194263	-0.5172404421	1.717240442	0.5873040431
--60	40	1.61686095657818	-0.6327451960	1.650486076	0.6539907438
--60	35	1.68131702613516	-0.7450361736	1.571783714	0.7188219700
--60	30	1.74679367426215	-0.8530605619	1.481189880	0.7811898797
--60	25	1.81290029984984	-0.9557921125	1.378847011	0.8405019681
--60	20	1.87928896124288	-1.052226411	1.264964210	0.8961783362
--60	15	1.94564843212040	-1.141368518	1.139803369	0.9476445560
--60	10	2.01169104307576	-1.222211646	1.003672380	0.9943193575
--60	5	2.07714088613166	-1.293715551	0.8569297763	1.035602156
--60	-2.84217e-14	2.14173665352864	-1.354798350	0.7000000000	1.070868327
--60	-5	2.20519716623895	-1.404298585	0.5333954618	1.099447301
--60	-10	2.26720738103985	-1.440959557	0.3577564616	1.120613523
--60	-15	2.32741119606207	-1.463427413	0.1739012104	1.133585345
--60	-20	2.38538939234425	-1.470247520	-0.01711145137	1.137522936
--60	-25	2.44064233377309	-1.459880452	-0.2139072638	1.131537507
--60	-30	2.49257302720091	-1.430738765	-0.4147125455	1.114712546
--60	-35	2.54047241348356	-1.381251426	-0.6172664297	1.086141017
--60	-40	2.58351231025597	-1.309964639	-0.8187406613	1.044983572
--60	-45	2.62074341226261	-1.215679295	-1.015679295	0.9905479027
-
--55	45	1.55343718421026	-0.4843933749	1.684393375	0.6892796617
--55	40	1.61389988499262	-0.5894838389	1.614185487	0.7628647968
--55	35	1.67510934237100	-0.6902736937	1.533438613	0.8334386129
--55	30	1.73670894532842	-0.7860545789	1.442503957	0.9005051107
--55	25	1.79841767116293	-0.8761967294	1.341731074	0.9636233240
--55	20	1.86001866419299	-0.9601231802	1.231441376	1.022389257
--55	15	1.92134154879402	-1.037276239	1.111911927	1.076412411
--55	10	1.98226241594082	-1.107096807	0.9833745278	1.125301299
--55	5	2.04266844040601	-1.168975514	0.8460164372	1.168629236
--55	-2.84217e-14	2.10245799774148	-1.222232767	0.7000000000	1.205920366
--55	-5	2.16151852746610	-1.266082749	0.5454877806	1.236624454
--55	-10	2.21970634514905	-1.299601784	0.3826816509	1.260094735
--55	-15	2.27683162605160	-1.321705860	0.2118753860	1.275572175
--55	-20	2.33263907492637	-1.331132370	0.03352232242	1.282172689
--55	-25	2.38677977355883	-1.326426959	-0.1516768780	1.278877925
--55	-30	2.43878781238839	-1.305952714	-0.3426672855	1.264541704
--55	-35	2.48805434745549	-1.267923779	-0.5379135569	1.237913557
--55	-40	2.53380100189811	-1.210474899	-0.7352588568	1.197687418
--55	-45	2.57505641474273	-1.131780480	-0.9317804804	1.142584993
-
--50	45	1.55310962044932	-0.4444776474	1.644477647	0.7925108456
--50	40	1.61061853507633	-0.5378833532	1.570887539	0.8708875389
--50	35	1.66814581011913	-0.6261032472	1.488505982	0.9449128194
--50	30	1.72544200442903	-0.7088152252	1.397909796	1.014316410
--50	25	1.78234828527652	-0.7857865319	1.299572107	1.078903005
--50	20	1.83878701070955	-0.8568397817	1.193849293	1.138523760
--50	15	1.89473115724734	-0.9218054745	1.080971629	1.193036449
--50	10	1.95019259168701	-0.9804894310	0.9610502313	1.242278136
--50	5	2.00520389936149	-1.032637082	0.8340883700	1.286035210
--50	-2.84217e-14	2.05980930223529	-1.077905470	0.7000000000	1.324019898
--50	-5	2.11404253483005	-1.115825694	0.5586335696	1.355838744
--50	-10	2.16791037921586	-1.145769970	0.4098063502	1.380964975
--50	-15	2.22138433459242	-1.166925883	0.2533485557	1.398716894
--50	-20	2.27437417158732	-1.178259275	0.08916357870	1.408226738
--50	-25	2.32670142725918	-1.178483035	-0.08268949319	1.408414495
--50	-30	2.37807187257027	-1.166036574	-0.2618866647	1.397970675
--50	-35	2.42803819942099	-1.139078361	-0.4476950242	1.375350048
--50	-40	2.47595627416599	-1.095507406	-0.6387896755	1.338789676
--50	-45	2.52093712510885	-1.033033299	-0.8330332990	1.286367676
-
--45	45	1.55298509546913	-0.3966163629	1.596616363	0.8966163629
--45	40	1.60711888912117	-0.4773217856	1.520070350	0.9773217856
--45	35	1.66055507823507	-0.5522726212	1.436809222	1.052272621
--45	30	1.71317754318718	-0.6215379672	1.347520247	1.121537967
--45	25	1.76497016832904	-0.6852532457	1.252692665	1.185253246
--45	20	1.81598239867673	-0.7435685458	1.152621935	1.243568546
--45	15	1.86631492507644	-0.7966159312	1.047427192	1.296615931
--45	10	1.91610173406250	-0.8444784676	0.9370678288	1.344478468
--45	5	1.96549247657791	-0.8871611682	0.8213608767	1.387161168
--45	-2.84217e-14	2.01464290477791	-0.9245676596	0.7000000000	1.424567660
--45	-5	2.06370458875555	-0.9564751085	0.5725749393	1.456475109
--45	-10	2.11281183998201	-0.9825048036	0.4385944041	1.482504804
--45	-15	2.16207738019201	-1.002095889	0.2975146197	1.502095889
--45	-20	2.21156659547374	-1.014461075	0.1487812479	1.514461075
--45	-25	2.26127847015451	-1.018545579	-0.008109432734	1.518545579
--45	-30	2.31111858849610	-1.012982267	-0.1735207194	1.512982267
--45	-35	2.36085308375741	-0.9960425555	-0.3475402748	1.496042555
--45	-40	2.41005265494178	-0.9656021904	-0.5297862574	1.465602190
--45	-45	2.45802425425618	-0.9191409649	-0.7191409649	1.419140965
+-135	45	1.55305148279789	-0.3966546917	1.596654692	-0.8966546917
+-135	40	1.60718598972629	-0.4773625908	1.520104589	-0.9773625908
+-135	35	1.66062407817212	-0.5523163456	1.436839838	-1.052316346
+-135	30	1.71324889497502	-0.6215846779	1.347547216	-1.121584678
+-135	25	1.76504231336755	-0.6853016942	1.252715257	-1.185301694
+-135	20	1.81605552205629	-0.7436186201	1.152640160	-1.243618620
+-135	15	1.86639000312663	-0.7966680914	1.047441168	-1.296668091
+-135	10	1.91617699916953	-0.8445312792	0.9370771409	-1.344531279
+-135	5	1.96556810823038	-0.8872145458	0.8213655466	-1.387214546
+-135	-2.84217e-14	2.01471678103651	-0.9246198980	0.7000000000	-1.424619898
+-135	-5	2.06377567868183	-0.9565252808	0.5725705498	-1.456525281
+-135	-10	2.11288280961074	-0.9825546012	0.4385856234	-1.482554601
+-135	-15	2.16214619676440	-1.002143699	0.2975018090	-1.502143699
+-135	-20	2.21163339171934	-1.014506816	0.1487645993	-1.514506816
+-135	-25	2.26134512786813	-1.018590342	-0.008130306305	-1.518590342
+-135	-30	2.31118458660358	-1.013025473	-0.1735456643	-1.513025473
+-135	-35	2.36091724455767	-0.9960832134	-0.3475687438	-1.496083213
+-135	-40	2.41011547055964	-0.9656403898	-0.5298183105	-1.465640390
+-135	-45	2.45808580238943	-0.9191764997	-0.7191764997	-1.419176500
+
+-130	45	1.55317765556004	-0.4445190209	1.644519021	-0.7925455621
+-130	40	1.61068934812201	-0.5379289851	1.570925829	-0.8709258286
+-130	35	1.66821870513824	-0.6261524559	1.488540439	-0.9449541104
+-130	30	1.72551524532529	-0.7088665366	1.397939420	-1.014359465
+-130	25	1.78242483405236	-0.7858417542	1.299597857	-1.078949342
+-130	20	1.83886481305915	-0.8568971920	1.193870189	-1.138571933
+-130	15	1.89481057876702	-0.9218650723	1.080987598	-1.193086458
+-130	10	1.95027209945615	-0.9805497894	0.9610608741	-1.242328782
+-130	5	2.00528652710389	-1.032700237	0.8340938953	-1.286088203
+-130	-2.84217e-14	2.05989172324258	-1.077968608	0.7000000000	-1.324072877
+-130	-5	2.11412167009518	-1.115886179	0.5586282778	-1.355889497
+-130	-10	2.16798859467882	-1.145829348	0.4097958804	-1.381014799
+-130	-15	2.22146122509502	-1.166983582	0.2533330954	-1.398765309
+-130	-20	2.27444797477725	-1.178313734	0.08914375713	-1.408272435
+-130	-25	2.32677307069948	-1.178534718	-0.08271359365	-1.408457863
+-130	-30	2.37814321742269	-1.166086557	-0.2619155224	-1.398012616
+-130	-35	2.42810982366510	-1.139126712	-0.4477288798	-1.375390619
+-130	-40	2.47602681900720	-1.095552865	-0.6388278203	-1.338827820
+-130	-45	2.52100403165377	-1.033073986	-0.8330739862	-1.286401816
+
+-125	45	1.55350801797368	-0.4844382614	1.684438261	-0.6893110915
+-125	40	1.61397369299025	-0.5895336639	1.614227296	-0.7628996846
+-125	35	1.67518507059467	-0.6903275035	1.533476291	-0.8334762909
+-125	30	1.73678677387557	-0.7861122119	1.442537232	-0.9005454657
+-125	25	1.79849802715692	-0.8762582199	1.341759748	-0.9636663801
+-125	20	1.86010007076534	-0.9601870847	1.231464635	-1.022434004
+-125	15	1.92142774697701	-1.037345206	1.111930407	-1.076460702
+-125	10	1.98234925625042	-1.107167212	0.9833869420	-1.125350597
+-125	5	2.04275725288145	-1.169048079	0.8460227858	-1.168680046
+-125	-2.84217e-14	2.10254738623212	-1.222305990	0.7000000000	-1.205971637
+-125	-5	2.16160623865407	-1.266154414	0.5454815107	-1.236674635
+-125	-10	2.21979320376258	-1.299672204	0.3826692340	-1.260144044
+-125	-15	2.27691912373991	-1.321775867	0.2118566276	-1.275621195
+-125	-20	2.33272591541648	-1.331200540	0.03349751050	-1.282220422
+-125	-25	2.38686486723700	-1.326492075	-0.1517072421	-1.278923519
+-125	-30	2.43887040200530	-1.306013873	-0.3427025955	-1.264584528
+-125	-35	2.48813250515921	-1.267979315	-0.5379524437	-1.237952444
+-125	-40	2.53387242989741	-1.210523117	-0.7352993168	-1.197721181
+-125	-45	2.57512413823360	-1.131823396	-0.9318233959	-1.142615043
+
+-120	45	1.55393413438278	-0.5172886851	1.717288685	-0.5873318962
+-120	40	1.61693748329811	-0.6327988093	1.650531063	-0.6540216975
+-120	35	1.68139596529527	-0.7450946291	1.571824645	-0.7188557193
+-120	30	1.74687504919233	-0.8531235947	1.481226272	-0.7812262716
+-120	25	1.81298436461595	-0.9558596181	1.378878489	-0.8405409424
+-120	20	1.87937794311935	-1.052299907	1.264990961	-0.8962207690
+-120	15	1.94573946755139	-1.141445317	1.139823947	-0.9476888956
+-120	10	2.01178349862412	-1.222290797	1.003686336	-0.9943650555
+-120	5	2.07724029694204	-1.293801398	0.8569372869	-1.035651720
+-120	-2.84217e-14	2.14183782683530	-1.354885969	0.7000000000	-1.070918913
+-120	-5	2.20529554030350	-1.404383536	0.5333880296	-1.099496347
+-120	-10	2.26730315442068	-1.441041549	0.3577420043	-1.120660861
+-120	-15	2.32750567854190	-1.463507119	0.1738798532	-1.133631364
+-120	-20	2.38548380230297	-1.470325499	-0.01713983351	-1.137567957
+-120	-25	2.44073671010595	-1.459956238	-0.2139426034	-1.131581262
+-120	-30	2.49266574904608	-1.430810587	-0.4147540120	-1.114754012
+-120	-35	2.54056016427750	-1.381316406	-0.6173119296	-1.086178534
+-120	-40	2.58359212708281	-1.310020558	-0.8187875823	-1.045015856
+-120	-45	2.62081451913600	-1.215725845	-1.015725845	-0.9905747786
+
+-115	45	1.55437930253303	-0.5438324377	1.743832438	-0.4867470595
+-115	40	1.61951454805120	-0.6683182301	1.680335396	-0.5447957379
+-115	35	1.68675808684732	-0.7907518646	1.603794186	-0.6018874792
+-115	30	1.75562753019164	-0.9098010305	1.513949004	-0.6574010170
+-115	25	1.82564415666033	-1.024079014	1.410689716	-0.7106897160
+-115	20	1.89634243313614	-1.132161779	1.294058305	-0.7610895367
+-115	15	1.96726272848249	-1.232588970	1.164245815	-0.8079195052
+-115	10	2.03795994168344	-1.323876595	1.021598653	-0.8504876236
+-115	5	2.10799366554109	-1.404513458	0.8666233371	-0.8880892105
+-115	-2.84217e-14	2.17691033260083	-1.472950786	0.7000000000	-0.9200020607
+-115	-5	2.24425261083121	-1.527619613	0.5226062699	-0.9454945534
+-115	-10	2.30953766574813	-1.566925658	0.3355452394	-0.9638232630
+-115	-15	2.37224725574075	-1.589263101	0.1401836392	-0.9742393841
+-115	-20	2.43181554555758	-1.593037796	-0.06180345678	-0.9759995529
+-115	-25	2.48761955051976	-1.576707412	-0.2683845701	-0.9683845701
+-115	-30	2.53897207043246	-1.538841030	-0.4771254173	-0.9507271859
+-115	-35	2.58512048990084	-1.478202517	-0.6851523144	-0.9224509830
+-115	-40	2.62525227058117	-1.393857693	-0.8891352920	-0.8831203459
+-115	-45	2.65850793795627	-1.285302221	-1.085302221	-0.8325000979
+
+-110	45	1.55479304248649	-0.5647084048	1.764708405	-0.3875221675
+-110	40	1.62166038183749	-0.6966221785	1.704085229	-0.4355348546
+-110	35	1.69120730481037	-0.8276054890	1.629599371	-0.4832088808
+-110	30	1.76292704872812	-0.9561155745	1.540688719	-0.5299827268
+-110	25	1.83627424813694	-1.080461730	1.436981408	-0.5752410261
+-110	20	1.91067895195749	-1.198835271	1.318325472	-0.6183254717
+-110	15	1.98555161036496	-1.309335264	1.184809923	-0.6585441800
+-110	10	2.06029770206294	-1.410005217	1.036785453	-0.6951850465
+-110	5	2.13430306453957	-1.498845231	0.8748762979	-0.7275201671
+-110	-2.84217e-14	2.20694172997079	-1.573846858	0.7000000000	-0.7548185268
+-110	-5	2.27757919766689	-1.633028057	0.5133842261	-0.7763587215
+-110	-10	2.34556865565217	-1.674466518	0.3165828842	-0.7914410880
+-110	-15	2.41024298112717	-1.696335567	0.1114936586	-0.7994007708
+-110	-20	2.47091329222782	-1.696954464	-0.09962603107	-0.7996260311
+-110	-25	2.52686686010418	-1.674847452	-0.3141480221	-0.7915797365
+-110	-30	2.57736704518635	-1.628814291	-0.5290715041	-0.7748250363
+-110	-35	2.62166350190121	-1.558017870	-0.7410396265	-0.7490572463
+-110	-40	2.65900424024557	-1.462077561	-0.9463785577	-0.7141378295
+-110	-45	2.68864882326694	-1.341162728	-1.141162728	-0.6701284295
+
+-105	45	1.55514116510750	-0.5804290224	1.780429022	-0.2895000840
+-105	40	1.62334699217879	-0.7181589096	1.722156692	-0.3264046961
+-105	35	1.69470197431865	-0.8559406335	1.649439853	-0.3633231977
+-105	30	1.76868639473570	-0.9920815701	1.561453696	-0.3998020517
+-105	25	1.84470830330278	-1.124653999	1.457588602	-0.4353247271
+-105	20	1.92211847365691	-1.251531775	1.337505431	-0.4693215247
+-105	15	2.00021605351234	-1.370428288	1.201179749	-0.5011797491
+-105	10	2.07827175481395	-1.478958262	1.048943735	-0.5302602683
+-105	5	2.15552153434244	-1.574678910	0.8815108851	-0.5559085385
+-105	-2.84217e-14	2.23117884027321	-1.655153265	0.7000000000	-0.5774715769
+-105	-5	2.30445572857915	-1.718027342	0.5059477522	-0.5943186351
+-105	-10	2.37455925161210	-1.761087194	0.3013093220	-0.6058564877
+-105	-15	2.44069662270315	-1.782327450	0.08845220297	-0.6115477970
+-105	-20	2.50208221866402	-1.780024135	-0.1298609185	-0.6109306257
+-105	-25	2.55794247728551	-1.752806836	-0.3505010798	-0.6036377723
+-105	-30	2.60752516946761	-1.699734368	-0.5700172296	-0.5894170475
+-105	-35	2.65010972919443	-1.620367781	-0.7846975041	-0.5681508346
+-105	-40	2.68502012232754	-1.514837986	-0.9906498110	-0.5398742112
+-105	-45	2.71164021988054	-1.383902798	-1.183902798	-0.5047902333
+
+-100	45	1.55540214440288	-0.5913850003	1.791385000	-0.1924406219
+-100	40	1.62456001253668	-0.7332853375	1.734849272	-0.2174614799
+-100	35	1.69721450249783	-0.8759974394	1.663483780	-0.2426254740
+-100	30	1.77284170116538	-1.017732375	1.576263195	-0.2676171672
+-100	25	1.85082049691812	-1.156395750	1.472390023	-0.2920672614
+-100	20	1.93044501551861	-1.289624892	1.351370191	-0.3155591537
+-100	15	2.01093294989607	-1.414837348	1.213079121	-0.3376374882
+-100	10	2.09144523249632	-1.529303219	1.057820910	-0.3578209095
+-100	5	2.17109908538543	-1.630223017	0.8863703648	-0.3756157928
+-100	-2.84217e-14	2.24898413530394	-1.714817013	0.7000000000	-0.3905319967
+-100	-5	2.32418826323937	-1.780429929	0.5004882332	-0.4021013242
+-100	-10	2.39580359119097	-1.824618337	0.2901070673	-0.4098929327
+-100	-15	2.46294362097376	-1.845247977	0.07159269852	-0.4135304948
+-100	-20	2.52475533769245	-1.840582074	-0.1519022057	-0.4127077702
+-100	-25	2.58042949222948	-1.809360875	-0.3768726616	-0.4072026305
+-100	-30	2.62921430738340	-1.750874216	-0.5995428348	-0.3968898545
+-100	-35	2.67042713184125	-1.665018558	-0.8159623150	-0.3817511856
+-100	-40	2.70346429164398	-1.552335922	-1.022114315	-0.3618821965
+-100	-45	2.72781423158011	-1.414035895	-1.214035895	-0.3374961704
+
+-95	45	1.55556347061542	-0.5978506745	1.797850674	-0.09604948826
+-95	40	1.62529013500867	-0.7422576730	1.742377955	-0.1086834636
+-95	35	1.69872691829657	-0.8879558599	1.671857156	-0.1214304032
+-95	30	1.77534991404185	-1.033103879	1.585137937	-0.1341292094
+-95	25	1.85452228584474	-1.175509139	1.481302743	-0.1465880553
+-95	20	1.93550376880176	-1.312663132	1.359755425	-0.1585874749
+-95	15	2.01746082617844	-1.441796155	1.220302712	-0.1698851505
+-95	10	2.09948668669600	-1.559958891	1.063226332	-0.1802230503
+-95	5	2.18061941220821	-1.664117595	0.8893357561	-0.1893357561
+-95	-2.84217e-14	2.25987056597259	-1.751271076	0.7000000000	-0.1969606977
+-95	-5	2.33624699164604	-1.818567464	0.4971516313	-0.2028483687
+-95	-10	2.40876839050277	-1.863417636	0.2832657041	-0.2067722503
+-95	-15	2.47649108712683	-1.883610531	0.06131348306	-0.2085388998
+-95	-20	2.53852243785926	-1.877410010	-0.1653064781	-0.2079964244
+-95	-25	2.59403497965529	-1.843638223	-0.3928564515	-0.2050417760
+-95	-30	2.64228280481359	-1.781744002	-0.6173655138	-0.1996267332
+-95	-35	2.68261229678846	-1.691845798	-0.8347469500	-0.1917616595
+-95	-40	2.71447146804644	-1.574751416	-1.040923148	-0.1815172286
+-95	-45	2.73741737367604	-1.431952998	-1.231952998	-0.1690239858
+
+-90	45	1.55561740086852	-0.5999876131	1.799987613	-3.537829990e-16
+-90	40	1.62553318507452	-0.7452306635	1.744872591	-4.004967268e-16
+-90	35	1.69923117419079	-0.8919286901	1.674638961	-4.476784106e-16
+-90	30	1.77618793671923	-1.038223875	1.588093968	-4.947305308e-16
+-90	25	1.85576168377089	-1.181891265	1.484278777	-5.409374875e-16
+-90	20	1.93720051337480	-1.320373027	1.362561597	-5.854766192e-16
+-90	15	2.01965304266047	-1.450835034	1.222724672	-6.274364008e-16
+-90	10	2.10218999565044	-1.570253006	1.065041462	-6.658441499e-16
+-90	5	2.18382175305081	-1.675511652	0.8903326069	-6.996979124e-16
+-90	-2.84217e-14	2.26353311867770	-1.763533119	0.7000000000	-7.280077753e-16
+-90	-5	2.34030270431848	-1.831397146	0.4960291796	-7.498345112e-16
+-90	-10	2.41312570527149	-1.876464904	0.2809651188	-7.643294075e-16
+-90	-15	2.48103933547452	-1.896499970	0.05785976833	-7.707731764e-16
+-90	-20	2.54313769368060	-1.889767724	-0.1698043185	-7.686079210e-16
+-90	-25	2.59858788405834	-1.855120435	-0.3982106945	-7.574645027e-16
+-90	-30	2.64664691319441	-1.792063462	-0.6233234566	-7.371838334e-16
+-90	-35	2.68667208670797	-1.700792932	-0.8410118011	-7.078289923e-16
+-90	-40	2.71812989288511	-1.582208300	-1.047180217	-6.696892658e-16
+-90	-45	2.74060113878635	-1.437897650	-1.237897650	-6.232754207e-16
+
+-85	45	1.55556347061542	-0.5978506745	1.797850674	0.09604948826
+-85	40	1.62529013500867	-0.7422576730	1.742377955	0.1086834636
+-85	35	1.69872691829657	-0.8879558599	1.671857156	0.1214304032
+-85	30	1.77534991404185	-1.033103879	1.585137937	0.1341292094
+-85	25	1.85452228584474	-1.175509139	1.481302743	0.1465880553
+-85	20	1.93550376880176	-1.312663132	1.359755425	0.1585874749
+-85	15	2.01746082617844	-1.441796155	1.220302712	0.1698851505
+-85	10	2.09948668669600	-1.559958891	1.063226332	0.1802230503
+-85	5	2.18061941220821	-1.664117595	0.8893357561	0.1893357561
+-85	-2.84217e-14	2.25987056597259	-1.751271076	0.7000000000	0.1969606977
+-85	-5	2.33624699164604	-1.818567464	0.4971516313	0.2028483687
+-85	-10	2.40876839050278	-1.863417636	0.2832657041	0.2067722503
+-85	-15	2.47649108712683	-1.883610531	0.06131348306	0.2085388998
+-85	-20	2.53852243785926	-1.877410010	-0.1653064781	0.2079964244
+-85	-25	2.59403497965529	-1.843638223	-0.3928564515	0.2050417760
+-85	-30	2.64228280481359	-1.781744002	-0.6173655138	0.1996267332
+-85	-35	2.68261229678846	-1.691845798	-0.8347469500	0.1917616595
+-85	-40	2.71447146804644	-1.574751416	-1.040923148	0.1815172286
+-85	-45	2.73741737367604	-1.431952998	-1.231952998	0.1690239858
+
+-80	45	1.55540214440288	-0.5913850003	1.791385000	0.1924406219
+-80	40	1.62456001253668	-0.7332853375	1.734849272	0.2174614799
+-80	35	1.69721450249783	-0.8759974394	1.663483780	0.2426254740
+-80	30	1.77284170116538	-1.017732375	1.576263195	0.2676171672
+-80	25	1.85082049691812	-1.156395750	1.472390023	0.2920672614
+-80	20	1.93044501551861	-1.289624892	1.351370191	0.3155591537
+-80	15	2.01093294989607	-1.414837348	1.213079121	0.3376374882
+-80	10	2.09144523249632	-1.529303219	1.057820910	0.3578209095
+-80	5	2.17109908538543	-1.630223017	0.8863703648	0.3756157928
+-80	-2.84217e-14	2.24898413530394	-1.714817013	0.7000000000	0.3905319967
+-80	-5	2.32418826323937	-1.780429929	0.5004882332	0.4021013242
+-80	-10	2.39580359119097	-1.824618337	0.2901070673	0.4098929327
+-80	-15	2.46294362097376	-1.845247977	0.07159269852	0.4135304948
+-80	-20	2.52475533769245	-1.840582074	-0.1519022057	0.4127077702
+-80	-25	2.58042949222948	-1.809360875	-0.3768726616	0.4072026305
+-80	-30	2.62921430738340	-1.750874216	-0.5995428348	0.3968898545
+-80	-35	2.67042713184125	-1.665018558	-0.8159623150	0.3817511856
+-80	-40	2.70346429164398	-1.552335922	-1.022114315	0.3618821965
+-80	-45	2.72781423158011	-1.414035895	-1.214035895	0.3374961704
+
+-75	45	1.55514116510750	-0.5804290224	1.780429022	0.2895000840
+-75	40	1.62334699217879	-0.7181589096	1.722156692	0.3264046961
+-75	35	1.69470197431865	-0.8559406335	1.649439853	0.3633231977
+-75	30	1.76868639473570	-0.9920815701	1.561453696	0.3998020517
+-75	25	1.84470830330278	-1.124653999	1.457588602	0.4353247271
+-75	20	1.92211847365691	-1.251531775	1.337505431	0.4693215247
+-75	15	2.00021605351234	-1.370428288	1.201179749	0.5011797491
+-75	10	2.07827175481395	-1.478958262	1.048943735	0.5302602683
+-75	5	2.15552153434244	-1.574678910	0.8815108851	0.5559085385
+-75	-2.84217e-14	2.23117884027321	-1.655153265	0.7000000000	0.5774715769
+-75	-5	2.30445572857915	-1.718027342	0.5059477522	0.5943186351
+-75	-10	2.37455925161210	-1.761087194	0.3013093220	0.6058564877
+-75	-15	2.44069662270315	-1.782327450	0.08845220297	0.6115477970
+-75	-20	2.50208221866402	-1.780024135	-0.1298609185	0.6109306257
+-75	-25	2.55794247728551	-1.752806836	-0.3505010798	0.6036377723
+-75	-30	2.60752516946761	-1.699734368	-0.5700172296	0.5894170475
+-75	-35	2.65010972919443	-1.620367781	-0.7846975041	0.5681508346
+-75	-40	2.68502012232754	-1.514837986	-0.9906498110	0.5398742112
+-75	-45	2.71164021988054	-1.383902798	-1.183902798	0.5047902333
+
+-70	45	1.55479304248649	-0.5647084048	1.764708405	0.3875221675
+-70	40	1.62166038183749	-0.6966221785	1.704085229	0.4355348546
+-70	35	1.69120730481037	-0.8276054890	1.629599371	0.4832088808
+-70	30	1.76292704872812	-0.9561155745	1.540688719	0.5299827268
+-70	25	1.83627424813694	-1.080461730	1.436981408	0.5752410261
+-70	20	1.91067895195749	-1.198835271	1.318325472	0.6183254717
+-70	15	1.98555161036496	-1.309335264	1.184809923	0.6585441800
+-70	10	2.06029770206294	-1.410005217	1.036785453	0.6951850465
+-70	5	2.13430306453957	-1.498845231	0.8748762979	0.7275201671
+-70	-2.84217e-14	2.20694172997079	-1.573846858	0.7000000000	0.7548185268
+-70	-5	2.27757919766689	-1.633028057	0.5133842261	0.7763587215
+-70	-10	2.34556865565217	-1.674466518	0.3165828842	0.7914410880
+-70	-15	2.41024298112717	-1.696335567	0.1114936586	0.7994007708
+-70	-20	2.47091329222782	-1.696954464	-0.09962603107	0.7996260311
+-70	-25	2.52686686010418	-1.674847452	-0.3141480221	0.7915797365
+-70	-30	2.57736704518635	-1.628814291	-0.5290715041	0.7748250363
+-70	-35	2.62166350190121	-1.558017870	-0.7410396265	0.7490572463
+-70	-40	2.65900424024557	-1.462077561	-0.9463785577	0.7141378295
+-70	-45	2.68864882326694	-1.341162728	-1.141162728	0.6701284295
+
+-65	45	1.55437930253303	-0.5438324377	1.743832438	0.4867470595
+-65	40	1.61951454805120	-0.6683182301	1.680335396	0.5447957379
+-65	35	1.68675808684732	-0.7907518646	1.603794186	0.6018874792
+-65	30	1.75562753019164	-0.9098010305	1.513949004	0.6574010170
+-65	25	1.82564415666033	-1.024079014	1.410689716	0.7106897160
+-65	20	1.89634243313613	-1.132161779	1.294058305	0.7610895367
+-65	15	1.96726272848249	-1.232588970	1.164245815	0.8079195052
+-65	10	2.03795994168344	-1.323876595	1.021598653	0.8504876236
+-65	5	2.10799366554109	-1.404513458	0.8666233371	0.8880892105
+-65	-2.84217e-14	2.17691033260083	-1.472950786	0.7000000000	0.9200020607
+-65	-5	2.24425261083121	-1.527619613	0.5226062699	0.9454945534
+-65	-10	2.30953766574813	-1.566925658	0.3355452394	0.9638232630
+-65	-15	2.37224725574075	-1.589263101	0.1401836392	0.9742393841
+-65	-20	2.43181554555758	-1.593037796	-0.06180345678	0.9759995529
+-65	-25	2.48761955051976	-1.576707412	-0.2683845701	0.9683845701
+-65	-30	2.53897207043246	-1.538841030	-0.4771254173	0.9507271859
+-65	-35	2.58512048990084	-1.478202517	-0.6851523144	0.9224509830
+-65	-40	2.62525227058117	-1.393857693	-0.8891352920	0.8831203459
+-65	-45	2.65850793795627	-1.285302221	-1.085302221	0.8325000979
+
+-60	45	1.55393413438278	-0.5172886851	1.717288685	0.5873318962
+-60	40	1.61693748329811	-0.6327988093	1.650531063	0.6540216975
+-60	35	1.68139596529527	-0.7450946291	1.571824645	0.7188557193
+-60	30	1.74687504919232	-0.8531235947	1.481226272	0.7812262716
+-60	25	1.81298436461594	-0.9558596181	1.378878489	0.8405409424
+-60	20	1.87937794311935	-1.052299907	1.264990961	0.8962207690
+-60	15	1.94573946755139	-1.141445317	1.139823947	0.9476888956
+-60	10	2.01178349862411	-1.222290797	1.003686336	0.9943650555
+-60	5	2.07724029694204	-1.293801398	0.8569372869	1.035651720
+-60	-2.84217e-14	2.14183782683530	-1.354885969	0.7000000000	1.070918913
+-60	-5	2.20529554030350	-1.404383536	0.5333880296	1.099496347
+-60	-10	2.26730315442068	-1.441041549	0.3577420043	1.120660861
+-60	-15	2.32750567854190	-1.463507119	0.1738798532	1.133631364
+-60	-20	2.38548380230297	-1.470325499	-0.01713983351	1.137567957
+-60	-25	2.44073671010595	-1.459956238	-0.2139426034	1.131581262
+-60	-30	2.49266574904608	-1.430810587	-0.4147540120	1.114754012
+-60	-35	2.54056016427750	-1.381316406	-0.6173119296	1.086178534
+-60	-40	2.58359212708281	-1.310020558	-0.8187875823	1.045015856
+-60	-45	2.62081451913600	-1.215725845	-1.015725845	0.9905747786
+
+-55	45	1.55350801797368	-0.4844382614	1.684438261	0.6893110915
+-55	40	1.61397369299025	-0.5895336639	1.614227296	0.7628996846
+-55	35	1.67518507059466	-0.6903275035	1.533476291	0.8334762909
+-55	30	1.73678677387556	-0.7861122119	1.442537232	0.9005454657
+-55	25	1.79849802715692	-0.8762582199	1.341759748	0.9636663801
+-55	20	1.86010007076534	-0.9601870847	1.231464635	1.022434004
+-55	15	1.92142774697700	-1.037345206	1.111930407	1.076460702
+-55	10	1.98234925625042	-1.107167212	0.9833869420	1.125350597
+-55	5	2.04275725288145	-1.169048079	0.8460227858	1.168680046
+-55	-2.84217e-14	2.10254738623212	-1.222305990	0.7000000000	1.205971637
+-55	-5	2.16160623865407	-1.266154414	0.5454815107	1.236674635
+-55	-10	2.21979320376258	-1.299672204	0.3826692340	1.260144044
+-55	-15	2.27691912373991	-1.321775867	0.2118566276	1.275621195
+-55	-20	2.33272591541648	-1.331200540	0.03349751050	1.282220422
+-55	-25	2.38686486723700	-1.326492075	-0.1517072421	1.278923519
+-55	-30	2.43887040200530	-1.306013873	-0.3427025955	1.264584528
+-55	-35	2.48813250515921	-1.267979315	-0.5379524437	1.237952444
+-55	-40	2.53387242989741	-1.210523117	-0.7352993168	1.197721181
+-55	-45	2.57512413823360	-1.131823396	-0.9318233959	1.142615043
+
+-50	45	1.55317765556004	-0.4445190209	1.644519021	0.7925455621
+-50	40	1.61068934812201	-0.5379289851	1.570925829	0.8709258286
+-50	35	1.66821870513823	-0.6261524559	1.488540439	0.9449541104
+-50	30	1.72551524532529	-0.7088665366	1.397939420	1.014359465
+-50	25	1.78242483405236	-0.7858417542	1.299597857	1.078949342
+-50	20	1.83886481305915	-0.8568971920	1.193870189	1.138571933
+-50	15	1.89481057876702	-0.9218650723	1.080987598	1.193086458
+-50	10	1.95027209945615	-0.9805497894	0.9610608741	1.242328782
+-50	5	2.00528652710389	-1.032700237	0.8340938953	1.286088203
+-50	-2.84217e-14	2.05989172324258	-1.077968608	0.7000000000	1.324072877
+-50	-5	2.11412167009518	-1.115886179	0.5586282778	1.355889497
+-50	-10	2.16798859467882	-1.145829348	0.4097958804	1.381014799
+-50	-15	2.22146122509503	-1.166983582	0.2533330954	1.398765309
+-50	-20	2.27444797477725	-1.178313734	0.08914375713	1.408272435
+-50	-25	2.32677307069948	-1.178534718	-0.08271359365	1.408457863
+-50	-30	2.37814321742269	-1.166086557	-0.2619155224	1.398012616
+-50	-35	2.42810982366510	-1.139126712	-0.4477288798	1.375390619
+-50	-40	2.47602681900720	-1.095552865	-0.6388278203	1.338827820
+-50	-45	2.52100403165377	-1.033073986	-0.8330739862	1.286401816
+
+-45	45	1.55305148279789	-0.3966546917	1.596654692	0.8966546917
+-45	40	1.60718598972628	-0.4773625908	1.520104589	0.9773625908
+-45	35	1.66062407817212	-0.5523163456	1.436839838	1.052316346
+-45	30	1.71324889497501	-0.6215846779	1.347547216	1.121584678
+-45	25	1.76504231336755	-0.6853016942	1.252715257	1.185301694
+-45	20	1.81605552205628	-0.7436186201	1.152640160	1.243618620
+-45	15	1.86639000312662	-0.7966680914	1.047441168	1.296668091
+-45	10	1.91617699916952	-0.8445312792	0.9370771409	1.344531279
+-45	5	1.96556810823038	-0.8872145458	0.8213655466	1.387214546
+-45	-2.84217e-14	2.01471678103651	-0.9246198980	0.7000000000	1.424619898
+-45	-5	2.06377567868183	-0.9565252808	0.5725705498	1.456525281
+-45	-10	2.11288280961074	-0.9825546012	0.4385856234	1.482554601
+-45	-15	2.16214619676440	-1.002143699	0.2975018090	1.502143699
+-45	-20	2.21163339171934	-1.014506816	0.1487645993	1.514506816
+-45	-25	2.26134512786814	-1.018590342	-0.008130306305	1.518590342
+-45	-30	2.31118458660358	-1.013025473	-0.1735456643	1.513025473
+-45	-35	2.36091724455767	-0.9960832134	-0.3475687438	1.496083213
+-45	-40	2.41011547055965	-0.9656403898	-0.5298183105	1.465640390
+-45	-45	2.45808580238943	-0.9191764997	-0.7191764997	1.419176500
 
 
 ### -y patch
-# N_rho = 10
+# N_rho = 19
 # 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	2.74049341208413	-1.437821475	-1.237821475	2.373146867e-16
--40	-90	2.75369728450443	-1.270042495	-1.409454503	2.583336705e-16
--35	-90	2.75742256293340	-1.081592607	-1.558748329	2.766168912e-16
--30	-90	2.75163938416818	-0.8758196921	-1.682989609	2.918320597e-16
--25	-90	2.73642583156351	-0.6564635283	-1.780044040	3.037177995e-16
--20	-90	2.71199148446312	-0.4275557162	-1.848438386	3.120936912e-16
--15	-90	2.67865603833334	-0.1932871980	-1.887383047	3.168630367e-16
--10	-90	2.63685553703444	0.04211484122	-1.896795776	3.180157636e-16
--5	-90	2.58714811496072	0.2745151844	-1.877303235	3.156286158e-16
--2.84217e-14	-90	2.53020139167013	0.5000000000	-1.830201392	3.098603036e-16
-5	-90	2.46677936563045	0.7149939878	-1.757392525	3.009437890e-16
-10	-90	2.39773274686277	0.9163619220	-1.661305799	2.891765588e-16
-15	-90	2.32398197845301	1.101490796	-1.544794213	2.749080047e-16
-20	-90	2.24650567811290	1.268350194	-1.411024808	2.585259774e-16
-25	-90	2.16631525432323	1.415524387	-1.263348384	2.404408314e-16
-30	-90	2.08441414402815	1.542207072	-1.105155601	2.210678028e-16
-35	-90	2.00182494583436	1.648199619	-0.9397989967	2.008174593e-16
-40	-90	1.91952079751705	1.733844185	-0.7704382404	1.800767484e-16
-45	-90	1.83841583955875	1.799956307	-0.5999563068	1.591987330e-16
-
--45	-85	2.73731590317244	-1.431881384	-1.231881384	0.1690177204
--40	-85	2.74992485846911	-1.263661139	-1.401849499	0.1838880036
--35	-85	2.75309604307464	-1.075071344	-1.549435000	0.1968000619
--30	-85	2.74683118570573	-0.8694903020	-1.672026784	0.2075254531
--25	-85	2.73123376507867	-0.6506577452	-1.767593498	0.2158864572
--20	-85	2.70653352800820	-0.4225764406	-1.834757938	0.2217625844
--15	-85	2.67306680166036	-0.1893833513	-1.872813693	0.2250920315
--10	-85	2.63127667657879	0.04477016658	-1.881736678	0.2258726915
--5	-85	2.58171965538914	0.2758380760	-1.862182515	0.2241619240
--2.84217e-14	-85	2.52505347883927	0.5000000000	-1.815444888	0.2200729114
-5	-85	2.46202510135697	0.7137692536	-1.743393749	0.2137692536
-10	-85	2.39346094542547	0.9140859976	-1.648398390	0.2054582365
-15	-85	2.32025526404353	1.098393332	-1.533234317	0.1953826858
-20	-85	2.24335573445496	1.264692965	-1.400976654	0.1838116396
-25	-85	2.16374376181533	1.411576501	-1.254882114	0.1710300235
-30	-85	2.08239530773998	1.538221859	-1.098253009	0.1573267524
-35	-85	2.00031072881836	1.644396003	-0.9343668707	0.1429885732
-40	-85	1.91844573266759	1.730392960	-0.7663252304	0.1282868347
-45	-85	1.83770424064343	1.796973655	-0.5969736550	0.1134704917
-
--45	-80	2.72772404431599	-1.413972613	-1.213972613	0.3374850121
--40	-80	2.73856836762153	-1.244475710	-1.378985194	0.3665811823
--35	-80	2.74010990023858	-1.055520201	-1.521513074	0.3917126929
--30	-80	2.73243359023885	-0.8505610721	-1.639240396	0.4124711961
--25	-80	2.71571865403571	-0.6333319449	-1.730438199	0.4285518295
--20	-80	2.69025441924857	-0.4077448572	-1.794008498	0.4397609883
--15	-80	2.65642026591534	-0.1777718648	-1.829479035	0.4460154011
--10	-80	2.61467906679985	0.05266012839	-1.836990481	0.4473398716
--5	-80	2.56558060024050	0.2797667571	-1.817277486	0.4438639386
--2.84217e-14	-80	2.50975277331966	0.5000000000	-1.771623989	0.4358139955
-5	-80	2.44789084271733	0.7101305796	-1.701803516	0.4235027622
-10	-80	2.38075276719142	0.9073179193	-1.610014711	0.4073179193
-15	-80	2.30915515980257	1.089168973	-1.498808540	0.3877092710
-20	-80	2.23395691928601	1.253781089	-1.370996520	0.3651725635
-25	-80	2.15605305342560	1.399770599	-1.229564277	0.3402342430
-30	-80	2.07634276756892	1.526274792	-1.077560082	0.3134318023
-35	-80	1.99575906302644	1.632963148	-0.9180390613	0.2853039423
-40	-80	1.91520515899606	1.719991043	-0.7539287085	0.2563668593
-45	-80	1.83555287560584	1.787959441	-0.5879594405	0.2271019994
-
--45	-75	2.71155878280916	-1.383846220	-1.183846220	0.5047750732
--40	-75	2.71953057970504	-1.212379666	-1.340734619	0.5468131931
--35	-75	2.71845270773119	-1.022985975	-1.475049385	0.5828027261
--30	-75	2.70853482920994	-0.8192148403	-1.584947129	0.6122497381
--25	-75	2.69007406974941	-0.6047651540	-1.669176518	0.6348189348
--20	-75	2.66344667460684	-0.3833803651	-1.727067606	0.6503308050
--15	-75	2.62908875599320	-0.1587518588	-1.758495407	0.6587518588
--10	-75	2.58748687303697	0.06555857887	-1.763839733	0.6601838668
--5	-75	2.53917466424823	0.2861826786	-1.743943167	0.6548525979
--2.84217e-14	-75	2.48472792034060	0.5000000000	-1.700062870	0.6430949077
-5	-75	2.42476150537768	0.7041828857	-1.633821062	0.6253454690
-10	-75	2.35992954180641	0.8962343363	-1.547156588	0.6021237930
-15	-75	2.29092326648310	1.074020164	-1.442272418	0.5740201645
-20	-75	2.21847185591165	1.235796401	-1.321583998	0.5416817996
-25	-75	2.14333440154149	1.380228982	-1.187657144	0.5057962073
-30	-75	2.06629439806374	1.506406196	-1.043146665	0.4670747411
-35	-75	1.98817031233071	1.613852558	-0.8907463103	0.4262391892
-40	-75	1.90977855792556	1.702511196	-0.7330970377	0.3839971939
-45	-75	1.83193382087844	1.772729776	-0.5727297763	0.3410269157
-
--45	-70	2.68857149250635	-1.341109773	-1.141109773	0.6701091553
--40	-70	2.69267063434630	-1.167223816	-1.286919972	0.7231797277
--35	-70	2.68812148044605	-0.9775693262	-1.410187688	0.7680455072
--30	-70	2.67529303274027	-0.7757695641	-1.509697704	0.8042641909
--25	-70	2.65462469049107	-0.5654231221	-1.584807259	0.8316018332
--20	-70	2.62658767844921	-0.3500046874	-1.635368685	0.8500046874
--15	-70	2.59167280607743	-0.1328058595	-1.661663619	0.8595752607
--10	-70	2.55037844199902	0.08310376292	-1.664336050	0.8605479460
--5	-70	2.50320613225243	0.2948972531	-1.644335124	0.8532682044
--2.84217e-14	-70	2.45066066674004	0.5000000000	-1.602867745	0.8381753125
-5	-70	2.39325356627543	0.6960936713	-1.541360919	0.8157886587
-10	-70	2.33150576209037	0.8811183325	-1.461429470	0.7866959905
-15	-70	2.26595749712716	1.053276316	-1.364855321	0.7515458748
-20	-70	2.19717891961013	1.211041324	-1.253569982	0.7110413241
-25	-70	2.12575776399637	1.353164473	-1.129617116	0.6659261702
-30	-70	2.05232641643900	1.478694874	-0.9951492469	0.6169838685
-35	-70	1.97755115269123	1.586992885	-0.8523867226	0.5650225591
-40	-70	1.90212859204785	1.677743036	-0.7035794949	0.5108611576
-45	-70	1.82679225398546	1.750971038	-0.5509710383	0.4553162219
-
--45	-65	2.65843323004833	-1.285252052	-1.085252052	0.8324767035
--40	-65	2.65782087512499	-1.108849938	-1.217352693	0.8940762443
--35	-65	2.64914180598457	-0.9194560439	-1.327193320	0.9452957696
--30	-65	2.63295870456534	-0.7206997666	-1.414314017	0.9859208177
--25	-65	2.60983668870433	-0.5159614558	-1.478736373	1.015961456
--20	-65	2.58033436450364	-0.3083292510	-1.520866365	1.035606994
--15	-65	2.54497627153961	-0.1005779335	-1.541387362	1.045176092
--10	-65	2.50424865782928	0.1048190257	-1.541182675	1.045080645
--5	-65	2.45860018616024	0.3056634731	-1.521276666	1.035798320
--2.84217e-14	-65	2.40844606401183	0.5000000000	-1.482793422	1.017853289
-5	-65	2.35417597848105	0.6860824651	-1.426932309	0.9918048239
-10	-65	2.29616638553545	0.8623447163	-1.354959002	0.9582431198
-15	-65	2.23479973611533	1.027380716	-1.268211626	0.9177921539
-20	-65	2.17046294081329	1.179930751	-1.168094386	0.8711067185
-25	-65	2.10356121411719	1.318877719	-1.056088934	0.8188777185
-30	-65	2.03454501990903	1.443261520	-0.9337768783	0.7618426701
-35	-65	1.96391044725700	1.552297219	-0.8028361752	0.7007840175
-40	-65	1.89221149913601	1.645406141	-0.6650418839	0.6365294842
-45	-65	1.82006405546775	1.722251156	-0.5222511563	0.5699450744
-
--45	-60	2.62074360135635	-1.215679419	-1.015679419	0.9905479742
--40	-60	2.61480217736609	-1.037134688	-1.131885786	1.057639752
--35	-60	2.60160495755600	-0.8489644114	-1.226520835	1.112277323
--30	-60	2.58188691717859	-0.6546549314	-1.299921006	1.154654931
--25	-60	2.55632311086426	-0.4572243451	-1.352774233	1.185169756
--20	-60	2.52551409894990	-0.2592366625	-1.385985586	1.204344340
--15	-60	2.48998166562276	-0.06284697032	-1.400573490	1.212766670
--10	-60	2.45017024063386	0.1301375252	-1.397594329	1.211046650
--5	-60	2.40645140585136	0.3181905313	-1.378091736	1.199786823
--2.84217e-14	-60	2.35913504045327	0.5000000000	-1.343070876	1.179567520
-5	-60	2.30848602695217	0.6744081003	-1.293493708	1.150944129
-10	-60	2.25473801329099	0.8403612401	-1.230284513	1.114450283
-15	-60	2.19810660609250	0.9968701821	-1.154344764	1.070606449
-20	-60	2.13880037754320	1.142980240	-1.066573689	1.019931795
-25	-60	2.07704300842357	1.277756194	-0.9679035407	0.9629645582
-30	-60	2.01310056047188	1.400285940	-0.8593409890	0.9002859398
-35	-60	1.94728514744662	1.509691481	-0.7419888761	0.8325326658
-40	-60	1.87998625029579	1.605166617	-0.6170862868	0.7604201222
-45	-60	1.81166752687866	1.686014797	-0.4860147966	0.6847459621
-
--45	-55	2.57505614052997	-1.131780307	-0.9317803067	1.142584871
--40	-55	2.56346105673671	-0.9520596459	-1.030497300	1.211707254
--35	-55	2.54567963004500	-0.7665846020	-1.108870275	1.266584602
--30	-55	2.52256341499449	-0.5784842925	-1.167989590	1.307980392
--25	-55	2.49483352181591	-0.3902337990	-1.209112543	1.336774994
--20	-55	2.46308522536512	-0.2037485303	-1.233533196	1.353874519
--15	-55	2.42779507069223	-0.02048931426	-1.242492566	1.360147937
--10	-55	2.38933023184929	0.1584330507	-1.237122430	1.356387728
--5	-55	2.34796388440618	0.3321600734	-1.218419139	1.343291543
--2.84217e-14	-55	2.30389087826184	0.5000000000	-1.187236923	1.321457520
-5	-55	2.25724826441518	0.6613552855	-1.144299353	1.291392309
-10	-55	2.20813464707075	0.8156641158	-1.090220161	1.253525652
-15	-55	2.15661756795467	0.9623522029	-1.025521912	1.208223450
-20	-55	2.10274264752126	1.100792061	-0.9506626201	1.155806410
-25	-55	2.04657374553093	1.230280840	-0.8660923156	1.096589645
-30	-55	1.98819744084403	1.350024105	-0.7722849383	1.030905012
-35	-55	1.92774223734171	1.459134294	-0.6697857300	0.9591342939
-40	-55	1.86541705226394	1.556656124	-0.5592737320	0.8817529598
-45	-55	1.80152249736349	1.641601881	-0.4416018808	0.7993582426
-
--45	-50	2.52093733419074	-1.033033426	-0.8330334261	1.286367782
--40	-50	2.50372609008399	-0.8538052649	-0.9134022882	1.353805265
--35	-50	2.48164976386234	-0.6730363577	-0.9752695361	1.405718050
--30	-50	2.45559194216848	-0.4932421178	-1.020345812	1.443541537
--25	-50	2.42624597626183	-0.3161757290	-1.050294499	1.468671469
--20	-50	2.39413386423668	-0.1430006900	-1.066629877	1.482378478
--15	-50	2.35963263917266	0.02555111252	-1.070667354	1.485766323
--10	-50	2.32300123374925	0.1890460911	-1.063507250	1.479758283
--5	-50	2.28440225056543	0.3472415826	-1.046036700	1.465098751
--2.84217e-14	-50	2.24391552068945	0.5000000000	-1.018939015	1.442361094
-5	-50	2.20156127695333	0.6472188255	-0.9827188758	1.411968788
-10	-50	2.15731765636842	0.7887757218	-0.9377285009	1.374217381
-15	-50	2.11112745935416	0.9244822087	-0.8841891698	1.329292548
-20	-50	2.06291274997430	1.054043507	-0.8222220241	1.277295939
-25	-50	2.01259362304291	1.177025365	-0.7518855804	1.218276655
-30	-50	1.96009675824049	1.292823360	-0.6732103416	1.152260291
-35	-50	1.90539355379918	1.400649216	-0.5862603827	1.079300613
-40	-50	1.84850468960130	1.499516437	-0.4911773048	0.9995164371
-45	-50	1.78955141856627	1.588262729	-0.3882627288	0.9131608544
-
--45	-45	2.45802385623833	-0.9191407351	-0.7191407351	1.419140735
--40	-45	2.43566590078447	-0.7428560207	-0.7811781277	1.481178128
--35	-45	2.40997204315991	-0.5693349763	-0.8271686150	1.527168615
--30	-45	2.38174971930332	-0.4002167775	-0.8592211964	1.559221196
--25	-45	2.35157179220481	-0.2363843904	-0.8791814214	1.579181421
--20	-45	2.31982362900568	-0.07820112159	-0.8885945255	1.588594525
--15	-45	2.28674421707272	0.07430704181	-0.8887077484	1.588707748
--10	-45	2.25246249615439	0.2213162621	-0.8804940163	1.580494016
--5	-45	2.21702371831663	0.3631081292	-0.8646812428	1.564681243
--2.84217e-14	-45	2.18040224832829	0.5000000000	-0.8417772155	1.541777216
-5	-45	2.14252012508272	0.6322915879	-0.8120997689	1.512099769
-10	-45	2.10326106383759	0.7602239354	-0.7758032738	1.475803274
-15	-45	2.06247110713927	0.8839429964	-0.7328947699	1.432894770
-20	-45	2.01997820664536	1.003466578	-0.6832630552	1.383263055
-25	-45	1.97559525677235	1.118648988	-0.6266970356	1.326697036
-30	-45	1.92913085743437	1.229142928	-0.5629125971	1.262912597
-35	-45	1.88040788343212	1.334360683	-0.4915905461	1.191590546
-40	-45	1.82928865835576	1.433437719	-0.4124277550	1.112427755
-45	-45	1.77570705783031	1.525204948	-0.3252049478	1.025204948
+-45	-135	2.45808595022459	-0.9191765851	-0.7191765851	-1.419176585
+-40	-135	2.43572336055868	-0.7428853409	-0.7812130702	-1.481213070
+-35	-135	2.41002674663261	-0.5693592490	-0.8272032799	-1.527203280
+-30	-135	2.38180134642379	-0.4002362907	-0.8592549943	-1.559254994
+-25	-135	2.35161950533907	-0.2363993316	-0.8792134628	-1.579213463
+-20	-135	2.31986750623408	-0.07821205771	-0.8886245722	-1.588624572
+-15	-135	2.28678579723431	0.07429930138	-0.8887366361	-1.588736636
+-10	-135	2.25250305823115	0.2213112436	-0.8805224776	-1.580522478
+-5	-135	2.21706174634792	0.3631057812	-0.8647080814	-1.564708081
+-2.84217e-14	-135	2.18043718792891	0.5000000000	-0.8418019215	-1.541801922
+5	-135	2.14255294353515	0.6322936143	-0.8121229308	-1.512122931
+10	-135	2.10329139411650	0.7602276880	-0.7758245558	-1.475824556
+15	-135	2.06250149067291	0.8839486525	-0.7329158788	-1.432915879
+20	-135	2.02000922943563	1.003474310	-0.6832842994	-1.383284299
+25	-135	1.97562555455678	1.118658475	-0.6267173819	-1.326717382
+30	-135	1.92915936451863	1.229153703	-0.5629312594	-1.262931259
+35	-135	1.88043502107832	1.334372724	-0.4916077429	-1.191607743
+40	-135	1.82931535053142	1.433451339	-0.4124439871	-1.112443987
+45	-135	1.77573236565022	1.525219559	-0.3252195593	-1.025219559
+
+-45	-130	2.52100357188079	-1.033073707	-0.8330737066	-1.286401582
+-40	-130	2.50378521650109	-0.8538372355	-0.9134403893	-1.353837236
+-35	-130	2.48170394199277	-0.6730619668	-0.9753061097	-1.405748739
+-30	-130	2.45564368689668	-0.4932630476	-1.020382064	-1.443571955
+-25	-130	2.42629510733494	-0.3161922564	-1.050329942	-1.468701209
+-20	-130	2.39418011998572	-0.1430131131	-1.066664009	-1.482407118
+-15	-130	2.35967656020091	0.02554228137	-1.070700312	-1.485793979
+-10	-130	2.32304258824193	0.1890405554	-1.063538645	-1.479784626
+-5	-130	2.28443844114415	0.3472391626	-1.046064362	-1.465121962
+-2.84217e-14	-130	2.24394712478224	0.5000000000	-1.018963226	-1.442381409
+5	-130	2.20159139730470	0.6472208397	-0.9827418977	-1.411988106
+10	-130	2.15734796429227	0.7887797788	-0.9377515092	-1.374236687
+15	-130	2.11115877255180	0.9244885048	-0.8842126672	-1.329312265
+20	-130	2.06294388095764	1.054051868	-0.8222449957	-1.277315214
+25	-130	2.01262162816423	1.177034786	-0.7519057833	-1.218293607
+30	-130	1.96012552843135	1.292834997	-0.6732304975	-1.152277204
+35	-130	1.90541917376265	1.400661326	-0.5862776777	-1.079315125
+40	-130	1.84852955507163	1.499529882	-0.4911933281	-0.9995298823
+45	-130	1.78957624779521	1.588277828	-0.3882778280	-0.9131735241
+
+-45	-125	2.57512441889516	-1.131823574	-0.9318235738	-1.142615167
+-40	-125	2.56352346237659	-0.9520949953	-1.030539427	-1.211736752
+-35	-125	2.54573495927608	-0.7666121307	-1.108909590	-1.266612131
+-30	-125	2.52261248510964	-0.5785052717	-1.168025927	-1.308005836
+-25	-125	2.49487974789323	-0.3902502939	-1.209147916	-1.336799762
+-20	-125	2.46312988696589	-0.2037612909	-1.233568256	-1.353899068
+-15	-125	2.42783649013132	-0.02049819408	-1.242525706	-1.360171142
+-10	-125	2.38936624406482	0.1584279026	-1.237151626	-1.356408171
+-5	-125	2.34799408397557	0.3321579147	-1.218443814	-1.343308820
+-2.84217e-14	-125	2.30391846722721	0.5000000000	-1.187259522	-1.321473344
+5	-125	2.25727797732226	0.6613574095	-1.144323630	-1.291409308
+10	-125	2.20816622155671	0.8156686296	-1.090245760	-1.253543576
+15	-125	2.15664666608190	0.9623584412	-1.025545194	-1.208239752
+20	-125	2.10277301966318	1.100800738	-0.9506864623	-1.155823104
+25	-125	2.04660481240633	1.230291926	-0.8661160888	-1.096606291
+30	-125	1.98822413745820	1.350035519	-0.7723047075	-1.030918855
+35	-125	1.92776920386107	1.459147711	-0.6698048915	-0.9591477109
+40	-125	1.86544202028043	1.556670267	-0.5592905870	-0.8817647618
+45	-125	1.80154783360807	1.641617936	-0.4416179361	-0.7993694846
+
+-45	-120	2.62081434671943	-1.215725732	-1.015725732	-0.9905747134
+-40	-120	2.61486597937555	-1.037172194	-1.131930485	-1.057665559
+-35	-120	2.60166502477592	-0.8489955570	-1.226565316	-1.112303004
+-30	-120	2.58193913878876	-0.6546782856	-1.299961457	-1.154678286
+-25	-120	2.55636867398282	-0.4572414064	-1.352810821	-1.185190880
+-20	-120	2.52555416782795	-0.2592487082	-1.386018682	-1.204363447
+-15	-120	2.49001611159593	-0.06285475664	-1.400602549	-1.212783447
+-10	-120	2.45019843151171	0.1301332697	-1.397618463	-1.211060584
+-5	-120	2.40647522269661	0.3181887319	-1.378112303	-1.199798698
+-2.84217e-14	-120	2.35916000383485	0.5000000000	-1.343092495	-1.179580002
+5	-120	2.30851588033868	0.6744103557	-1.293519488	-1.150959013
+10	-120	2.25477165757689	0.8403663188	-1.230313316	-1.114466913
+15	-120	2.19813865136068	0.9968774258	-1.154371798	-1.070622057
+20	-120	2.13883000535562	1.142989146	-1.066598161	-1.019945924
+25	-120	2.07707253093148	1.277767249	-0.9679272478	-0.9629782455
+30	-120	2.01312860238634	1.400298480	-0.8593627102	-0.9002984805
+35	-120	1.94731138367759	1.509705085	-0.7420083044	-0.8325438827
+40	-120	1.88001146712893	1.605181441	-0.6171039532	-0.7604303220
+45	-120	1.81169462538797	1.686032537	-0.4860325367	-0.6847562043
+
+-45	-115	2.65850808289243	-1.285302319	-1.085302319	-0.8325001433
+-40	-115	2.65789013823322	-1.108891865	-1.217402660	-0.8940995441
+-35	-115	2.64920289541617	-0.9194887767	-1.327240067	-0.9453175682
+-30	-115	2.63301017738693	-0.7207236306	-1.414355350	-0.9859400919
+-25	-115	2.60988344228864	-0.5159796561	-1.478775404	-1.015979656
+-20	-115	2.58037769049087	-0.3083428235	-1.520903655	-1.035624382
+-15	-115	2.54501519950233	-0.1005871200	-1.541421646	-1.045192079
+-10	-115	2.50428139881779	0.1048138590	-1.541211977	-1.045094308
+-5	-115	2.45862741269782	0.3056613210	-1.521301265	-1.035809791
+-2.84217e-14	-115	2.40847183190364	0.5000000000	-1.482816776	-1.017864179
+5	-115	2.35420464412778	0.6860847309	-1.426958207	-0.9918169006
+10	-115	2.29620238355100	0.8623503969	-1.354991219	-0.9582581426
+15	-115	2.23483701212221	1.027389512	-1.268244455	-0.9178074625
+20	-115	2.17049469441256	1.179940699	-1.168121716	-0.8711194626
+25	-115	2.10359103358734	1.318889327	-1.056113828	-0.8188893267
+30	-115	2.03457333365860	1.443274647	-0.9337996148	-0.7618532723
+35	-115	1.96393721053603	1.552311559	-0.8028566552	-0.7007935674
+40	-115	1.89223999568721	1.645423391	-0.6650624413	-0.6365390702
+45	-115	1.82009133493823	1.722269476	-0.5222694756	-0.5699536168
+
+-45	-110	2.68864897062598	-1.341162829	-1.141162829	-0.6701284662
+-40	-110	2.69274081575390	-1.167267270	-1.286971759	-0.7231985765
+-35	-110	2.68818357711140	-0.9776034586	-1.410236434	-0.7680632493
+-30	-110	2.67534975754243	-0.7757966145	-1.509744556	-0.8042812439
+-25	-110	2.65467647623599	-0.5654439061	-1.584851830	-0.8316180559
+-20	-110	2.62663669968175	-0.3500205514	-1.635412271	-0.8500205514
+-15	-110	2.59171944169454	-0.1328172465	-1.661706116	-0.8595907282
+-10	-110	2.55042008244271	0.08309695618	-1.664374653	-0.8605619963
+-5	-110	2.50324228553422	0.2948942909	-1.644368983	-0.8532805280
+-2.84217e-14	-110	2.45069554458071	0.5000000000	-1.602900519	-0.8381872414
+5	-110	2.39329062731709	0.6960967079	-1.541395628	-0.8158012917
+10	-110	2.33154627744341	0.8811249553	-1.461467030	-0.7867096612
+15	-110	2.26599903969958	1.053286459	-1.364893176	-0.7515596531
+20	-110	2.19721419041305	1.211052738	-1.253601342	-0.7110527383
+25	-110	2.12578953870922	1.353177225	-1.129644464	-0.6659361241
+30	-110	2.05235654889748	1.478709243	-0.9951741352	-0.6169929271
+35	-110	1.97757992516762	1.587008701	-0.8524093091	-0.5650307799
+40	-110	1.90215751338206	1.677760944	-0.7036008359	-0.5108689251
+45	-110	1.82682088025976	1.750990641	-0.5509906413	-0.4553233568
+
+-45	-105	2.71164030145072	-1.383902854	-1.183902854	-0.5047902485
+-40	-105	2.71960009131191	-1.212423435	-1.340786780	-0.5468271697
+-35	-105	2.71852223123938	-1.023024925	-1.475105011	-0.5828176311
+-30	-105	2.70860318790442	-0.8192481350	-1.585004798	-0.6122651902
+-25	-105	2.69014224268141	-0.6047931514	-1.669236559	-0.6348350227
+-20	-105	2.66350931564588	-0.3834011411	-1.727124688	-0.6503460999
+-15	-105	2.62914630095249	-0.1587662774	-1.758549218	-0.6587662774
+-10	-105	2.58754068714721	0.06554954343	-1.763890976	-0.6601975972
+-5	-105	2.53922438364248	0.2861784918	-1.743991022	-0.6548654206
+-2.84217e-14	-105	2.48477675157536	0.5000000000	-1.700110037	-0.6431075461
+5	-105	2.42481217799577	0.7041871527	-1.633869835	-0.6253585374
+10	-105	2.35998120116179	0.8962430100	-1.547205779	-0.6021369736
+15	-105	2.29097097306499	1.074032118	-1.442317029	-0.5740321180
+20	-105	2.21851203890879	1.235809729	-1.321620614	-0.5416916110
+25	-105	2.14336582670393	1.380241888	-1.187684820	-0.5058036232
+30	-105	2.06632680242513	1.506421979	-1.043174001	-0.4670820659
+35	-105	1.98820288496149	1.613870806	-0.8907723719	-0.4262461724
+40	-105	1.90980840990287	1.702529992	-0.7331194386	-0.3840031962
+45	-105	1.83196237102067	1.772749611	-0.5727496114	-0.3410322305
+
+-45	-100	2.72781427907065	-1.414035929	-1.214035929	-0.3374961763
+-40	-100	2.73864277683434	-1.244523109	-1.379041682	-0.3665911426
+-35	-100	2.74018911409833	-1.055565169	-1.521577296	-0.3917240169
+-30	-100	2.73251787260843	-0.8506027303	-1.639312550	-0.4124839188
+-25	-100	2.71580461985525	-0.6333678205	-1.730515134	-0.4285653952
+-20	-100	2.69033237084532	-0.4077711596	-1.794080763	-0.4397737306
+-15	-100	2.65648846403037	-0.1777892652	-1.829543975	-0.4460268516
+-10	-100	2.61474356030374	0.05264909434	-1.837053058	-0.4473509057
+-5	-100	2.56564284272024	0.2797614141	-1.817338556	-0.4438747070
+-2.84217e-14	-100	2.50981511995310	0.5000000000	-1.771685389	-0.4358248219
+5	-100	2.44795490490391	0.7101360788	-1.701866372	-0.4235138454
+10	-100	2.38081693850697	0.9073288983	-1.610076975	-0.4073288983
+15	-100	2.30921372304676	1.089183915	-1.498864305	-0.3877191038
+20	-100	2.23400487890010	1.253797271	-1.371040981	-0.3651804032
+25	-100	2.15608571650839	1.399784230	-1.229593509	-0.3402393974
+30	-100	2.07637536881845	1.526290906	-1.077587992	-0.3134367236
+35	-100	1.99579148554799	1.632981554	-0.9180653475	-0.2853085773
+40	-100	1.91523602878151	1.720010707	-0.7539521433	-0.2563709915
+45	-100	1.83558421848335	1.787981433	-0.5879814330	-0.2271058773
+
+-45	-95	2.73741740002533	-1.431953016	-1.231953016	-0.1690239874
+-40	-95	2.75000818540565	-1.263714581	-1.401913188	-0.1838935757
+-35	-95	2.75318412851409	-1.075121738	-1.549506971	-0.1968063585
+-30	-95	2.74692616249817	-0.8695376547	-1.672108801	-0.2075326287
+-25	-95	2.73132995111961	-0.6506982680	-1.767680399	-0.2158940601
+-20	-95	2.70661887588722	-0.4226055331	-1.834837869	-0.2217695774
+-15	-95	2.67314180685180	-0.1894026951	-1.872885885	-0.2250983475
+-10	-95	2.63134828966629	0.04475777700	-1.881806943	-0.2258788389
+-5	-95	2.58178833254480	0.2758321130	-1.862250673	-0.2241678870
+-2.84217e-14	-95	2.52512252372598	0.5000000000	-1.815513670	-0.2200789291
+5	-95	2.46209704179702	0.7137754999	-1.743465145	-0.2137754999
+10	-95	2.39353310006427	0.9140984808	-1.648469186	-0.2054644304
+15	-95	2.32032376592126	1.098410998	-1.533300250	-0.1953884541
+20	-95	2.24341307428999	1.264712510	-1.401030355	-0.1838163378
+25	-95	2.16378314866513	1.411593094	-1.254917699	-0.1710331368
+30	-95	2.08243065157254	1.538239480	-1.098283530	-0.1573294227
+35	-95	2.00034297130429	1.644414449	-0.9343932146	-0.1429908780
+40	-95	1.91847576570377	1.730412222	-0.7663481855	-0.1282888430
+45	-95	1.83773582873245	1.796995949	-0.5969959485	-0.1134724421
+
+-45	-90	2.74060115597000	-1.437897662	-1.237897662	-6.232754246e-16
+-40	-90	2.75378587918351	-1.270099443	-1.409522370	-6.784741407e-16
+-35	-90	2.75751390289414	-1.081644998	-1.558823151	-7.264929341e-16
+-30	-90	2.75173750486740	-0.8758687524	-1.683074584	-7.664552428e-16
+-25	-90	2.73652500686173	-0.6565054416	-1.780133923	-7.976719072e-16
+-20	-90	2.71207894299686	-0.4275856288	-1.848520570	-8.196667303e-16
+-15	-90	2.67873323674183	-0.1933071784	-1.887457615	-8.321898392e-16
+-10	-90	2.63692934970118	0.04210202379	-1.896868468	-8.352166002e-16
+-5	-90	2.58721868607313	0.2745090338	-1.877373538	-8.289465526e-16
+-2.84217e-14	-90	2.53027196521662	0.5000000000	-1.830271965	-8.137975314e-16
+5	-90	2.46685331513474	0.7150004329	-1.757466194	-7.903814093e-16
+10	-90	2.39780737685321	0.9163748814	-1.661379295	-7.594775057e-16
+15	-90	2.32405403238177	1.101509445	-1.544863812	-7.220032682e-16
+20	-90	2.24656737982666	1.268371297	-1.411082789	-6.789760096e-16
+25	-90	2.16635957768321	1.415543119	-1.263388555	-6.314739210e-16
+30	-90	2.08445323423521	1.542226617	-1.105189454	-5.805932095e-16
+35	-90	2.00185939358982	1.648219377	-0.9398272146	-5.274086571e-16
+40	-90	1.91955221712368	1.733864381	-0.7704623092	-4.729367490e-16
+45	-90	1.83844875681129	1.799979583	-0.5999795828	-4.181053222e-16
+
+-45	-85	2.73741740002533	-1.431953016	-1.231953016	0.1690239874
+-40	-85	2.75000818540565	-1.263714581	-1.401913188	0.1838935757
+-35	-85	2.75318412851409	-1.075121738	-1.549506971	0.1968063585
+-30	-85	2.74692616249817	-0.8695376547	-1.672108801	0.2075326287
+-25	-85	2.73132995111961	-0.6506982680	-1.767680399	0.2158940601
+-20	-85	2.70661887588722	-0.4226055331	-1.834837869	0.2217695774
+-15	-85	2.67314180685180	-0.1894026951	-1.872885885	0.2250983475
+-10	-85	2.63134828966629	0.04475777700	-1.881806943	0.2258788389
+-5	-85	2.58178833254480	0.2758321130	-1.862250673	0.2241678870
+-2.84217e-14	-85	2.52512252372598	0.5000000000	-1.815513670	0.2200789291
+5	-85	2.46209704179702	0.7137754999	-1.743465145	0.2137754999
+10	-85	2.39353310006428	0.9140984808	-1.648469186	0.2054644304
+15	-85	2.32032376592126	1.098410998	-1.533300250	0.1953884541
+20	-85	2.24341307428999	1.264712510	-1.401030355	0.1838163378
+25	-85	2.16378314866513	1.411593094	-1.254917699	0.1710331368
+30	-85	2.08243065157254	1.538239480	-1.098283530	0.1573294227
+35	-85	2.00034297130429	1.644414449	-0.9343932146	0.1429908780
+40	-85	1.91847576570377	1.730412222	-0.7663481855	0.1282888430
+45	-85	1.83773582873245	1.796995949	-0.5969959485	0.1134724421
+
+-45	-80	2.72781427907065	-1.414035929	-1.214035929	0.3374961763
+-40	-80	2.73864277683434	-1.244523109	-1.379041682	0.3665911426
+-35	-80	2.74018911409834	-1.055565169	-1.521577296	0.3917240169
+-30	-80	2.73251787260843	-0.8506027303	-1.639312550	0.4124839188
+-25	-80	2.71580461985525	-0.6333678205	-1.730515134	0.4285653952
+-20	-80	2.69033237084532	-0.4077711596	-1.794080763	0.4397737306
+-15	-80	2.65648846403037	-0.1777892652	-1.829543975	0.4460268516
+-10	-80	2.61474356030374	0.05264909434	-1.837053058	0.4473509057
+-5	-80	2.56564284272024	0.2797614141	-1.817338556	0.4438747070
+-2.84217e-14	-80	2.50981511995310	0.5000000000	-1.771685389	0.4358248219
+5	-80	2.44795490490391	0.7101360788	-1.701866372	0.4235138454
+10	-80	2.38081693850697	0.9073288983	-1.610076975	0.4073288983
+15	-80	2.30921372304677	1.089183915	-1.498864305	0.3877191038
+20	-80	2.23400487890010	1.253797271	-1.371040981	0.3651804032
+25	-80	2.15608571650839	1.399784230	-1.229593509	0.3402393974
+30	-80	2.07637536881845	1.526290906	-1.077587992	0.3134367236
+35	-80	1.99579148554799	1.632981554	-0.9180653475	0.2853085773
+40	-80	1.91523602878151	1.720010707	-0.7539521433	0.2563709915
+45	-80	1.83558421848335	1.787981433	-0.5879814330	0.2271058773
+
+-45	-75	2.71164030145072	-1.383902854	-1.183902854	0.5047902485
+-40	-75	2.71960009131191	-1.212423435	-1.340786780	0.5468271697
+-35	-75	2.71852223123938	-1.023024925	-1.475105011	0.5828176311
+-30	-75	2.70860318790442	-0.8192481350	-1.585004798	0.6122651902
+-25	-75	2.69014224268141	-0.6047931514	-1.669236559	0.6348350227
+-20	-75	2.66350931564588	-0.3834011411	-1.727124688	0.6503460999
+-15	-75	2.62914630095250	-0.1587662774	-1.758549218	0.6587662774
+-10	-75	2.58754068714721	0.06554954343	-1.763890976	0.6601975972
+-5	-75	2.53922438364248	0.2861784918	-1.743991022	0.6548654206
+-2.84217e-14	-75	2.48477675157536	0.5000000000	-1.700110037	0.6431075461
+5	-75	2.42481217799577	0.7041871527	-1.633869835	0.6253585374
+10	-75	2.35998120116179	0.8962430100	-1.547205779	0.6021369736
+15	-75	2.29097097306499	1.074032118	-1.442317029	0.5740321180
+20	-75	2.21851203890879	1.235809729	-1.321620614	0.5416916110
+25	-75	2.14336582670393	1.380241888	-1.187684820	0.5058036232
+30	-75	2.06632680242513	1.506421979	-1.043174001	0.4670820659
+35	-75	1.98820288496149	1.613870806	-0.8907723719	0.4262461724
+40	-75	1.90980840990287	1.702529992	-0.7331194386	0.3840031962
+45	-75	1.83196237102067	1.772749611	-0.5727496114	0.3410322305
+
+-45	-70	2.68864897062598	-1.341162829	-1.141162829	0.6701284662
+-40	-70	2.69274081575390	-1.167267270	-1.286971759	0.7231985765
+-35	-70	2.68818357711140	-0.9776034586	-1.410236434	0.7680632493
+-30	-70	2.67534975754243	-0.7757966145	-1.509744556	0.8042812439
+-25	-70	2.65467647623599	-0.5654439061	-1.584851830	0.8316180559
+-20	-70	2.62663669968175	-0.3500205514	-1.635412271	0.8500205514
+-15	-70	2.59171944169454	-0.1328172465	-1.661706116	0.8595907282
+-10	-70	2.55042008244272	0.08309695618	-1.664374653	0.8605619963
+-5	-70	2.50324228553422	0.2948942909	-1.644368983	0.8532805280
+-2.84217e-14	-70	2.45069554458071	0.5000000000	-1.602900519	0.8381872414
+5	-70	2.39329062731709	0.6960967079	-1.541395628	0.8158012917
+10	-70	2.33154627744341	0.8811249553	-1.461467030	0.7867096612
+15	-70	2.26599903969958	1.053286459	-1.364893176	0.7515596531
+20	-70	2.19721419041305	1.211052738	-1.253601342	0.7110527383
+25	-70	2.12578953870922	1.353177225	-1.129644464	0.6659361241
+30	-70	2.05235654889748	1.478709243	-0.9951741352	0.6169929271
+35	-70	1.97757992516762	1.587008701	-0.8524093091	0.5650307799
+40	-70	1.90215751338206	1.677760944	-0.7036008359	0.5108689251
+45	-70	1.82682088025976	1.750990641	-0.5509906413	0.4553233568
+
+-45	-65	2.65850808289243	-1.285302319	-1.085302319	0.8325001433
+-40	-65	2.65789013823322	-1.108891865	-1.217402660	0.8940995441
+-35	-65	2.64920289541617	-0.9194887767	-1.327240067	0.9453175682
+-30	-65	2.63301017738693	-0.7207236306	-1.414355350	0.9859400919
+-25	-65	2.60988344228864	-0.5159796561	-1.478775404	1.015979656
+-20	-65	2.58037769049087	-0.3083428235	-1.520903655	1.035624382
+-15	-65	2.54501519950234	-0.1005871200	-1.541421646	1.045192079
+-10	-65	2.50428139881779	0.1048138590	-1.541211977	1.045094308
+-5	-65	2.45862741269782	0.3056613210	-1.521301265	1.035809791
+-2.84217e-14	-65	2.40847183190364	0.5000000000	-1.482816776	1.017864179
+5	-65	2.35420464412778	0.6860847309	-1.426958207	0.9918169006
+10	-65	2.29620238355100	0.8623503969	-1.354991219	0.9582581426
+15	-65	2.23483701212221	1.027389512	-1.268244455	0.9178074625
+20	-65	2.17049469441256	1.179940699	-1.168121716	0.8711194626
+25	-65	2.10359103358734	1.318889327	-1.056113828	0.8188893267
+30	-65	2.03457333365860	1.443274647	-0.9337996148	0.7618532723
+35	-65	1.96393721053603	1.552311559	-0.8028566552	0.7007935674
+40	-65	1.89223999568721	1.645423391	-0.6650624413	0.6365390702
+45	-65	1.82009133493823	1.722269476	-0.5222694756	0.5699536168
+
+-45	-60	2.62081434671943	-1.215725732	-1.015725732	0.9905747134
+-40	-60	2.61486597937555	-1.037172194	-1.131930485	1.057665559
+-35	-60	2.60166502477592	-0.8489955570	-1.226565316	1.112303004
+-30	-60	2.58193913878876	-0.6546782856	-1.299961457	1.154678286
+-25	-60	2.55636867398282	-0.4572414064	-1.352810821	1.185190880
+-20	-60	2.52555416782796	-0.2592487082	-1.386018682	1.204363447
+-15	-60	2.49001611159593	-0.06285475664	-1.400602549	1.212783447
+-10	-60	2.45019843151171	0.1301332697	-1.397618463	1.211060584
+-5	-60	2.40647522269661	0.3181887319	-1.378112303	1.199798698
+-2.84217e-14	-60	2.35916000383485	0.5000000000	-1.343092495	1.179580002
+5	-60	2.30851588033868	0.6744103557	-1.293519488	1.150959013
+10	-60	2.25477165757689	0.8403663188	-1.230313316	1.114466913
+15	-60	2.19813865136068	0.9968774258	-1.154371798	1.070622057
+20	-60	2.13883000535562	1.142989146	-1.066598161	1.019945924
+25	-60	2.07707253093148	1.277767249	-0.9679272478	0.9629782455
+30	-60	2.01312860238634	1.400298480	-0.8593627102	0.9002984805
+35	-60	1.94731138367759	1.509705085	-0.7420083044	0.8325438827
+40	-60	1.88001146712893	1.605181441	-0.6171039532	0.7604303220
+45	-60	1.81169462538797	1.686032537	-0.4860325367	0.6847562043
+
+-45	-55	2.57512441889516	-1.131823574	-0.9318235738	1.142615167
+-40	-55	2.56352346237659	-0.9520949953	-1.030539427	1.211736752
+-35	-55	2.54573495927608	-0.7666121307	-1.108909590	1.266612131
+-30	-55	2.52261248510964	-0.5785052717	-1.168025927	1.308005836
+-25	-55	2.49487974789324	-0.3902502939	-1.209147916	1.336799762
+-20	-55	2.46312988696589	-0.2037612909	-1.233568256	1.353899068
+-15	-55	2.42783649013132	-0.02049819408	-1.242525706	1.360171142
+-10	-55	2.38936624406482	0.1584279026	-1.237151626	1.356408171
+-5	-55	2.34799408397557	0.3321579147	-1.218443814	1.343308820
+-2.84217e-14	-55	2.30391846722721	0.5000000000	-1.187259522	1.321473344
+5	-55	2.25727797732226	0.6613574095	-1.144323630	1.291409308
+10	-55	2.20816622155671	0.8156686296	-1.090245760	1.253543576
+15	-55	2.15664666608190	0.9623584412	-1.025545194	1.208239752
+20	-55	2.10277301966318	1.100800738	-0.9506864623	1.155823104
+25	-55	2.04660481240633	1.230291926	-0.8661160888	1.096606291
+30	-55	1.98822413745820	1.350035519	-0.7723047075	1.030918855
+35	-55	1.92776920386106	1.459147711	-0.6698048915	0.9591477109
+40	-55	1.86544202028043	1.556670267	-0.5592905870	0.8817647618
+45	-55	1.80154783360807	1.641617936	-0.4416179361	0.7993694846
+
+-45	-50	2.52100357188079	-1.033073707	-0.8330737066	1.286401582
+-40	-50	2.50378521650109	-0.8538372355	-0.9134403893	1.353837236
+-35	-50	2.48170394199277	-0.6730619668	-0.9753061097	1.405748739
+-30	-50	2.45564368689668	-0.4932630476	-1.020382064	1.443571955
+-25	-50	2.42629510733494	-0.3161922564	-1.050329942	1.468701209
+-20	-50	2.39418011998572	-0.1430131131	-1.066664009	1.482407118
+-15	-50	2.35967656020091	0.02554228137	-1.070700312	1.485793979
+-10	-50	2.32304258824193	0.1890405554	-1.063538645	1.479784626
+-5	-50	2.28443844114415	0.3472391626	-1.046064362	1.465121962
+-2.84217e-14	-50	2.24394712478224	0.5000000000	-1.018963226	1.442381409
+5	-50	2.20159139730470	0.6472208397	-0.9827418977	1.411988106
+10	-50	2.15734796429227	0.7887797788	-0.9377515092	1.374236687
+15	-50	2.11115877255180	0.9244885048	-0.8842126672	1.329312265
+20	-50	2.06294388095764	1.054051868	-0.8222449957	1.277315214
+25	-50	2.01262162816423	1.177034786	-0.7519057833	1.218293607
+30	-50	1.96012552843135	1.292834997	-0.6732304975	1.152277204
+35	-50	1.90541917376265	1.400661326	-0.5862776777	1.079315125
+40	-50	1.84852955507163	1.499529882	-0.4911933281	0.9995298823
+45	-50	1.78957624779521	1.588277828	-0.3882778280	0.9131735241
+
+-45	-45	2.45808595022459	-0.9191765851	-0.7191765851	1.419176585
+-40	-45	2.43572336055868	-0.7428853409	-0.7812130702	1.481213070
+-35	-45	2.41002674663261	-0.5693592490	-0.8272032799	1.527203280
+-30	-45	2.38180134642379	-0.4002362907	-0.8592549943	1.559254994
+-25	-45	2.35161950533907	-0.2363993316	-0.8792134628	1.579213463
+-20	-45	2.31986750623408	-0.07821205771	-0.8886245722	1.588624572
+-15	-45	2.28678579723432	0.07429930138	-0.8887366361	1.588736636
+-10	-45	2.25250305823116	0.2213112436	-0.8805224776	1.580522478
+-5	-45	2.21706174634792	0.3631057812	-0.8647080814	1.564708081
+-2.84217e-14	-45	2.18043718792891	0.5000000000	-0.8418019215	1.541801922
+5	-45	2.14255294353515	0.6322936143	-0.8121229308	1.512122931
+10	-45	2.10329139411650	0.7602276880	-0.7758245558	1.475824556
+15	-45	2.06250149067291	0.8839486525	-0.7329158788	1.432915879
+20	-45	2.02000922943563	1.003474310	-0.6832842994	1.383284299
+25	-45	1.97562555455678	1.118658475	-0.6267173819	1.326717382
+30	-45	1.92915936451863	1.229153703	-0.5629312594	1.262931259
+35	-45	1.88043502107832	1.334372724	-0.4916077429	1.191607743
+40	-45	1.82931535053142	1.433451339	-0.4124439871	1.112443987
+45	-45	1.77573236565022	1.525219559	-0.3252195593	1.025219559
+
+
+### -z patch
+# N_rho = 19
+# N_sigma = 19
+# ghosted_gfn=-3
+# dpx = dsigma = dnu
+# dpy = 180 - drho = 180 - dmu
+#
+# dpx	dpy	gridfn	global_x	global_y	global_z
+135	45	1.12193003005400	1.147746605	1.347746605	-0.6477466049
+140	45	1.12782299227121	1.075498304	1.385852172	-0.6858521719
+145	45	1.13599930171462	1.004057211	1.419868301	-0.7198683010
+150	45	1.14616805764167	0.9332108059	1.450343126	-0.7503431262
+155	45	1.15812634979129	0.8626621858	1.477731567	-0.7777315672
+160	45	1.17174911141216	0.7920509309	1.502403338	-0.8024033381
+165	45	1.18697797234907	0.7209640066	1.524648899	-0.8246488994
+170	45	1.20381547655889	0.6489409024	1.544685832	-0.8446858319
+175	45	1.22231934195211	0.5754730678	1.562661112	-0.8626611124
+180	45	1.24260111156610	0.5000000000	1.578651672	-0.8786516723
+185	45	1.26482655597201	0.4219022909	1.592660900	-0.8926608999
+190	45	1.28921726352493	0.3404928443	1.604610032	-0.9046100320
+195	45	1.31605587113874	0.2550072663	1.614325330	-0.9143253295
+200	45	1.34568990399209	0.1645954451	1.621516441	-0.9215164410
+205	45	1.37853862053993	0.06831667861	1.625747870	-0.9257478702
+210	45	1.41509676339795	-0.03485630243	1.626398291	-0.9263982906
+215	45	1.45593486907396	-0.1460166553	1.622607399	-0.9226073986
+220	45	1.50169228124946	-0.2662739345	1.613209714	-0.9132097144
+225	45	1.55305166694293	-0.3966547980	1.596654798	-0.8966547980
+
+135	40	1.13980643834444	1.193139550	1.281613141	-0.6931395500
+140	40	1.14568727876028	1.119491675	1.319491675	-0.7382814296
+145	40	1.15404652969889	1.045499432	1.353703863	-0.7790539272
+150	40	1.16464356591358	0.9710770638	1.384646066	-0.8159294087
+155	40	1.17730529022100	0.8960389890	1.412654325	-0.8493083527
+160	40	1.19192213146020	0.8201185884	1.438003727	-0.8795185931
+165	40	1.20844281685328	0.7429803439	1.460908122	-0.9068149885
+170	40	1.22687119005978	0.6642273739	1.481520380	-0.9313797201
+175	40	1.24726351341557	0.5834047508	1.499931017	-0.9533206634
+180	40	1.26972599412224	0.5000000000	1.516164137	-0.9726665421
+185	40	1.29441568085896	0.4134421747	1.530172005	-0.9893604698
+190	40	1.32153935660748	0.3231004690	1.541824266	-1.003247094
+195	40	1.35135553621814	0.2282843439	1.550894547	-1.014056634
+200	40	1.38417438815396	0.1282475679	1.557040767	-1.021381413
+205	40	1.42035593576474	0.02220011795	1.559779371	-1.024645154
+210	40	1.46030662853135	-0.09066737576	1.558454224	-1.023065905
+215	40	1.50446577290797	-0.2111370332	1.552197084	-1.015608936
+220	40	1.55328428638307	-0.3398859816	1.539885982	-1.000937136
+225	40	1.60718628652619	-0.4773627713	1.520104741	-0.9773627713
+
+135	35	1.15962908508780	1.234842194	1.214542044	-0.7348421940
+140	35	1.16585392394816	1.160392102	1.251080600	-0.7870246603
+145	35	1.17467225628455	1.084449738	1.284449738	-0.8346807280
+150	35	1.18590558967275	1.007016213	1.314906745	-0.8781778420
+155	35	1.19942311282114	0.9279912808	1.342671669	-0.9178302635
+160	35	1.21514196881242	0.8471883010	1.367922381	-0.9538920173
+165	35	1.23302725950465	0.7643458340	1.390791206	-0.9865520833
+170	35	1.25308979967742	0.6791355813	1.411360700	-1.015928366
+175	35	1.27538563601500	0.5911686218	1.429659749	-1.042062116
+180	35	1.30001301081223	0.5000000000	1.445656830	-1.064908315
+185	35	1.32711307982175	0.4051337359	1.459253491	-1.084326360
+190	35	1.35686674620564	0.3060289746	1.470273350	-1.100064350
+195	35	1.38949280115042	0.2021098840	1.478449462	-1.111741048
+200	35	1.42524456448125	0.09278154193	1.483408661	-1.118823518
+205	35	1.46440019916678	-0.02254330444	1.484650980	-1.120597733
+210	35	1.50725212129422	-0.1444031210	1.481528904	-1.116138946
+215	35	1.55408691184508	-0.2732247725	1.473224772	-1.104279418
+220	35	1.60515404057008	-0.4092314477	1.458730775	-1.083579844
+225	35	1.66062445343007	-0.5523165834	1.436840004	-1.052316583
+
+135	30	1.18118781987037	1.273268942	1.146447032	-0.7732689421
+140	30	1.18814165337471	1.198459625	1.180581611	-0.8323917678
+145	30	1.19774194451771	1.121044041	1.212076670	-0.8869428100
+150	30	1.20987215759560	1.041071278	1.241071278	-0.9371629435
+155	30	1.22444841734321	0.9584990956	1.267682241	-0.9832544836
+160	30	1.24142158759487	0.8732043243	1.291997908	-1.025370454
+165	30	1.26077831893362	0.7849921615	1.314072764	-1.063605227
+170	30	1.28253902493187	0.6936041218	1.333921090	-1.097983536
+175	30	1.30675933552167	0.5987267891	1.351512276	-1.128452363
+180	30	1.33352668971865	0.5000000000	1.366763345	-1.154867990
+185	30	1.36296021323553	0.3970271863	1.379532402	-1.176984646
+190	30	1.39520466367244	0.2893885734	1.389608382	-1.194436754
+195	30	1.43042572910887	0.1766599534	1.396700973	-1.206721482
+200	30	1.46880366722884	0.05843857906	1.400429819	-1.213180033
+205	30	1.51051875788096	-0.06561915929	1.400310982	-1.212974201
+210	30	1.55573523954074	-0.1957459501	1.395745950	-1.205067335
+215	30	1.60457819867489	-0.3319936811	1.386013431	-1.188210117
+220	30	1.65710176615879	-0.4741419935	1.370267417	-1.160937220
+225	30	1.71324918923283	-0.6215848706	1.347547327	-1.121584871
+
+135	25	1.20435929692004	1.308778976	1.077139830	-0.8087789761
+140	25	1.21244043341660	1.233922566	1.107858257	-0.8746548544
+145	25	1.22317160608510	1.155396523	1.136465478	-0.9360032382
+150	25	1.23649433313896	1.073267002	1.163009732	-0.9929275744
+155	25	1.25237121539256	0.9875250964	1.187525096	-1.045500943
+160	25	1.27078665497812	0.8980933786	1.210025199	-1.093752568
+165	25	1.29174807355932	0.8048340361	1.230497757	-1.137656111
+170	25	1.31528645043417	0.7075577357	1.248899330	-1.177118413
+175	25	1.34145531723489	0.6060334123	1.265149703	-1.211967449
+180	25	1.37032732728301	0.5000000000	1.279125353	-1.241938328
+185	25	1.40199320777547	0.3891814569	1.290654071	-1.266661744
+190	25	1.43655314501639	0.2733058697	1.299506715	-1.285646300
+195	25	1.47411003541979	0.1521311539	1.305390542	-1.298264208
+200	25	1.51476031610925	0.02547813624	1.307943063	-1.303738106
+205	25	1.55857822414170	-0.1067258570	1.306725857	-1.301127799
+210	25	1.60559650673945	-0.2443911968	1.301221363	-1.289323373
+215	25	1.65578362048694	-0.3871975302	1.290834831	-1.267049384
+220	25	1.70901534711181	-0.5345126193	1.274903312	-1.232884131
+225	25	1.76504253694870	-0.6853018443	1.252715327	-1.185301844
+
+135	20	1.22909302896613	1.341671941	1.006343534	-0.8416719412
+140	20	1.23870273849546	1.266968927	1.032682615	-0.9140379737
+145	20	1.25092927201497	1.187593450	1.057413389	-0.9819852144
+150	20	1.26576374344405	1.103605975	1.080522223	-1.045476216
+155	20	1.28320760781210	1.015010299	1.101984432	-1.104443151
+160	20	1.30327457849526	0.9217599549	1.121759955	-1.158775952
+165	20	1.32599069439514	0.8237656694	1.139788848	-1.208309928
+170	20	1.35139417867826	0.7209049209	1.155987027	-1.252814062
+175	20	1.37953231117658	0.6130333866	1.170241361	-1.291977521
+180	20	1.41045848757268	0.5000000000	1.182405214	-1.325397433
+185	20	1.44422940486706	0.3816655911	1.192294668	-1.352568483
+190	20	1.48089486562200	0.2579263192	1.199683111	-1.372868065
+195	20	1.52048927337507	0.1287438294	1.204297827	-1.385546891
+200	20	1.56302102225274	-0.005817950164	1.205817950	-1.389723396
+205	20	1.60845749216676	-0.1455480540	1.203873939	-1.384382269
+210	20	1.65670605698981	-0.2900350123	1.198049873	-1.368380781
+215	20	1.70759353292820	-0.4386063257	1.187890726	-1.340468753
+220	20	1.76084400709654	-0.5902637058	1.172915875	-1.299325688
+225	20	1.81605571185797	-0.7436187500	1.152640208	-1.243618750
+
+135	15	1.25540346248595	1.372187275	0.9337018761	-0.8721872754
+140	15	1.26693705854020	1.297739608	0.9547417204	-0.9507090432
+145	15	1.28102882641086	1.217683604	0.9746367778	-1.024958408
+150	15	1.29770561344897	1.132058516	0.9933393779	-1.094757462
+155	15	1.31699691070382	1.040867001	1.010792400	-1.159893027
+160	15	1.33893794506362	0.9440830380	1.026926985	-1.220108119
+165	15	1.36356584131189	0.8416588848	1.041658885	-1.275088317
+170	15	1.39092001378190	0.7335367471	1.054886034	-1.324452708
+175	15	1.42103679759006	0.6196618279	1.066485083	-1.367740952
+180	15	1.45394598270110	0.5000000000	1.076308911	-1.404403975
+185	15	1.48966624426330	0.3745590642	1.084184603	-1.433796458
+190	15	1.52819391761533	0.2434148384	1.089910759	-1.455166762
+195	15	1.56949409456563	0.1067431540	1.093256846	-1.467654530
+200	15	1.61348977702221	-0.03514312933	1.093964000	-1.470293664
+205	15	1.66004798692740	-0.1817519230	1.091747538	-1.462021717
+210	15	1.70896381231309	-0.3323653063	1.086302083	-1.441699001
+215	15	1.75994404405297	-0.4859910708	1.077310293	-1.408141182
+220	15	1.81259138805392	-0.6413163209	1.064455870	-1.360167826
+225	15	1.86639008096920	-0.7966681455	1.047441182	-1.296668145
+
+135	10	1.28336581550803	1.400504224	0.8587831909	-0.9005042239
+140	10	1.29720910702206	1.326325829	0.8736427156	-0.9847767759
+145	10	1.31353149765525	1.245672565	0.8877760305	-1.064930788
+150	10	1.33237918287713	1.158555606	0.9011276824	-1.140651768
+155	10	1.35379847692269	1.064971286	0.9136350955	-1.211584833
+160	10	1.37783382313717	0.9649082846	0.9252268631	-1.277325014
+165	10	1.40452477983788	0.8583572191	0.9358209998	-1.337407349
+170	10	1.43390422630635	0.7453236195	0.9453236195	-1.391299383
+175	10	1.46599151379710	0.6258428853	0.9536270999	-1.438390761
+180	10	1.50078845529856	0.5000000000	0.9606091803	-1.477988106
+185	10	1.53827329542929	0.3679523394	0.9661323692	-1.509311667
+190	10	1.57838978641621	0.2299566538	0.9700433462	-1.531491920
+195	10	1.62103785973509	0.08640059060	0.9721737447	-1.543574010
+200	10	1.66606341331105	-0.06216262836	0.9723421577	-1.544529127
+205	10	1.71324643760422	-0.2149771993	0.9703574960	-1.533273552
+210	10	1.76228851752801	-0.3710470688	0.9660241242	-1.508697779
+215	10	1.81280104422084	-0.5291005640	0.9591491599	-1.469707919
+220	10	1.86429532535157	-0.6875613366	0.9495521355	-1.415280489
+225	10	1.91617706801228	-0.8445313275	0.9370771494	-1.344531327
+
+135	5	1.31310867549409	1.426736371	0.7810789265	-0.9267363706
+140	5	1.32963597420394	1.352760500	0.7889130130	-1.016280389
+145	5	1.34854264457357	1.271513540	0.7963981175	-1.101835525
+150	5	1.36987886695167	1.182981842	0.8034955239	-1.182959251
+155	5	1.39369382041036	1.087157573	0.8101625299	-1.259163479
+160	5	1.42002818081925	0.9840451933	0.8163514570	-1.329903238
+165	5	1.44891432411396	0.8736746915	0.8220093222	-1.394572934
+170	5	1.48036980782812	0.7561146485	0.8270771394	-1.452498350
+175	5	1.51439100724152	0.6314894129	0.8314894129	-1.502930867
+180	5	1.55094953133440	0.5000000000	0.8351741584	-1.545047700
+185	5	1.58998410430678	0.3619470959	0.8380529041	-1.577951914
+190	5	1.63139011363765	0.2177577500	0.8400409464	-1.600675341
+195	5	1.67501053862628	0.06801514356	0.8410482988	-1.612189432
+200	5	1.72062729912156	-0.08651045435	0.8409813522	-1.611424230
+205	5	1.76795111413952	-0.2448306581	0.8397451611	-1.597294501
+210	5	1.81661211192684	-0.4057100716	0.8372466039	-1.568735861
+215	5	1.86615220479592	-0.5676426884	0.8333984952	-1.524751777
+220	5	1.91601949795357	-0.7288368972	0.8281245919	-1.464470787
+225	5	1.96556815382738	-0.8872145780	0.8213655495	-1.387214578
+
+135	-2.84217e-14	1.34481372234831	1.450926903	0.7000000000	-0.9509269025
+140	-2.84217e-14	1.36438238731562	1.377008093	0.7000000000	-1.045177546
+145	-2.84217e-14	1.38620555784016	1.295094844	0.7000000000	-1.135513117
+150	-2.84217e-14	1.41032382041627	1.205161910	0.7000000000	-1.221376256
+155	-2.84217e-14	1.43677367300264	1.107206792	0.7000000000	-1.302159168
+160	-2.84217e-14	1.46558073498448	1.001258133	0.7000000000	-1.377195402
+165	-2.84217e-14	1.49675973541870	0.8873899255	0.7000000000	-1.445758884
+170	-2.84217e-14	1.53030503576024	0.7657346807	0.7000000000	-1.507056264
+175	-2.84217e-14	1.56618687362962	0.6365021803	0.7000000000	-1.560227060
+180	-2.84217e-14	1.60434642429128	0.5000000000	0.7000000000	-1.604346424
+185	-2.84217e-14	1.64468583862530	0.3566561841	0.7000000000	-1.638427312
+190	-2.84217e-14	1.68705988963043	0.2070451246	0.7000000000	-1.661429659
+195	-2.84217e-14	1.73126757343073	0.05191497983	0.7000000000	-1.672276061
+200	-2.84217e-14	1.77704346584855	-0.1077846609	0.7000000000	-1.669874632
+205	-2.84217e-14	1.82404927330726	-0.2708765332	0.7000000000	-1.653150060
+210	-2.84217e-14	1.87186647885568	-0.4359332394	0.7000000000	-1.621083923
+215	-2.84217e-14	1.91999123055873	-0.6012617278	0.7000000000	-1.572764742
+220	-2.84217e-14	1.96783322764008	-0.7648988167	0.7000000000	-1.507447709
+225	-2.84217e-14	2.01471681466707	-0.9246199218	0.7000000000	-1.424619922
+
+135	-5	1.37871812195005	1.473040733	0.6148699667	-0.9730407333
+140	-5	1.40166396045361	1.398955566	0.6062704617	-1.071333525
+145	-5	1.42670573522514	1.316231357	0.5980145362	-1.165699186
+150	-5	1.45386109059298	1.224852941	0.5901595470	-1.255482122
+155	-5	1.48314068349809	1.124841175	0.5827672710	-1.339976224
+160	-5	1.51454561702695	1.016263364	0.5759041605	-1.418421936
+165	-5	1.54806400816847	0.8992453736	0.5696415397	-1.490004019
+170	-5	1.58366291680431	0.7739851009	0.5640560270	-1.553846722
+175	-5	1.62128580120027	0.6407707238	0.5592292762	-1.609016736
+180	-5	1.66084515514815	0.5000000000	0.5552478069	-1.654525138
+185	-5	1.70221428807332	0.3522025313	0.5522025313	-1.689332797
+190	-5	1.74521893734679	0.1980645429	0.5501878186	-1.712361069
+195	-5	1.78962880583791	0.03845511718	0.5492999938	-1.722508953
+200	-5	1.83514939380395	-0.1255476159	0.5496351632	-1.718677949
+205	-5	1.88141421464541	-0.2926322037	0.5512863107	-1.699805246
+210	-5	1.92797824457261	-0.4612339929	0.5543395892	-1.664906114
+215	-5	1.97431351413931	-0.6295227595	0.5588697904	-1.613125678
+220	-5	2.01980910088831	-0.7954022394	0.5649349774	-1.543800273
+225	-5	2.06377569999205	-0.9565252958	0.5725705485	-1.456525296
+
+135	-10	1.41511151482034	1.492946735	0.5249167002	-0.9929467351
+140	-10	1.44173924919585	1.418391934	0.5070106685	-1.094496887
+145	-10	1.47025757849519	1.334643663	0.4898191765	-1.191994683
+150	-10	1.50064954510212	1.241726667	0.4734712693	-1.284708272
+155	-10	1.53289060160111	1.139710555	0.4581034137	-1.371863712
+160	-10	1.56695042173233	1.028719952	0.4438592941	-1.452646129
+165	-10	1.60278626950235	0.9089426107	0.4308907141	-1.526194601
+170	-10	1.64033850054706	0.7806420197	0.4193579803	-1.591599984
+175	-10	1.67952608134040	0.6441730092	0.4094298805	-1.647905036
+180	-10	1.72024009401229	0.5000000000	0.4012834425	-1.694105782
+185	-10	1.76233562723572	0.3487184966	0.3951032321	-1.729155496
+190	-10	1.80562281779341	0.1910798385	0.3910798385	-1.751973295
+195	-10	1.84985842574771	0.02801820897	0.3894070723	-1.761460024
+200	-10	1.89473753168050	-0.1393217823	0.3902777509	-1.756522161
+205	-10	1.93988508812120	-0.3095587283	0.3938779714	-1.736104295
+210	-10	1.98484901888488	-0.4810521392	0.4003795255	-1.699232150
+215	-10	2.02909477382630	-0.6518873419	0.4099305477	-1.645065611
+220	-10	2.07200435056778	-0.8198725666	0.4226442058	-1.572962873
+225	-10	2.11288281778975	-0.9825546069	0.4385856224	-1.482554607
+
+135	-15	1.45434335273680	1.510400086	0.4292641130	-1.010400086
+140	-15	1.48491443264237	1.434991244	0.4014297951	-1.114279174
+145	-15	1.51710655023957	1.349943791	0.3747510704	-1.213845530
+150	-15	1.55085876175205	1.255358902	0.3494367137	-1.308319996
+155	-15	1.58610734494383	1.151385828	0.3257013937	-1.396901416
+160	-15	1.62278937552129	1.038227510	0.3037653275	-1.478767930
+165	-15	1.66083401906145	0.9161432339	0.2838567661	-1.553067692
+170	-15	1.70016036360781	0.7854584857	0.2662128938	-1.618915520
+175	-15	1.74067077890239	0.6465773775	0.2510813818	-1.675387092
+180	-15	1.78224640277830	0.5000000000	0.2387206879	-1.721517829
+185	-15	1.82473715180388	0.3463436109	0.2294006823	-1.756300564
+190	-15	1.86795259643520	0.1863690444	0.2234015751	-1.778689537
+195	-15	1.91165350806106	0.02101073084	0.2210107308	-1.787612289
+200	-15	1.95554196483178	-0.1485909372	0.2225174988	-1.781988954
+205	-15	1.99925150750974	-0.3210567227	0.2282052912	-1.760761824
+210	-15	2.04233820744801	-0.4947381304	0.2383404270	-1.722936982
+215	-15	2.08427392491981	-0.6676936468	0.2531573818	-1.667639354
+220	-15	2.12444280496376	-0.8376766888	0.2728404886	-1.594181000
+225	-15	2.16214615196201	-1.002143667	0.2975018174	-1.502143667
+
+135	-20	1.49682039559885	1.525009253	0.3269271419	-1.025009253
+140	-20	1.53153211581040	1.448280412	0.2886712009	-1.130116588
+145	-20	1.56750993463270	1.361607117	0.2521337218	-1.230502486
+150	-20	1.60464629432844	1.265209223	0.2176006749	-1.325381253
+155	-20	1.64284129624269	1.159347858	0.1853548080	-1.413976044
+160	-20	1.68200491011582	1.044322990	0.1556770103	-1.495515123
+165	-20	1.72204725332886	0.9204703579	0.1288518160	-1.569216739
+170	-20	1.76287741314178	0.7881678060	0.1051704202	-1.634280839
+175	-20	1.80439616226948	0.6478450394	0.08493524222	-1.689876533
+180	-20	1.84648954117010	0.5000000000	0.06846338248	-1.735132596
+185	-20	1.88901771168608	0.3452214076	0.05609028351	-1.769127406
+190	-20	1.93180567751368	0.1842184264	0.04817069478	-1.790886297
+195	-20	1.97463379317685	0.01785586832	0.04507691191	-1.799386396
+200	-20	2.01722606059968	-0.1528057758	0.04719422422	-1.793569128
+205	-20	2.05923831715302	-0.3264671556	0.05491206510	-1.772364535
+210	-20	2.10024644264174	-0.5015465430	0.06861009798	-1.734729499
+215	-20	2.13973717921488	-0.6761410506	0.08863792468	-1.679703497
+220	-20	2.17710115292424	-0.8479980971	0.1152885248	-1.606481575
+225	-20	2.21163338242796	-1.014506810	0.1487646016	-1.514506810
+
+135	-25	1.54301006755786	1.536197508	0.2168131665	-1.036197508
+140	-25	1.58197033249466	1.457608880	0.1678339286	-1.141233823
+145	-25	1.62172994852491	1.368950983	0.1213165727	-1.240990615
+150	-25	1.66214333219590	1.270607596	0.07760447577	-1.334731509
+155	-25	1.70308777522321	1.162980769	0.03701923078	-1.421766848
+160	-25	1.74446131168692	1.046479218	-0.0001326491758	-1.501439311
+165	-25	1.78617265868937	0.9215111537	-0.03354906268	-1.573101041
+170	-25	1.82813867979887	0.7884879752	-0.06292437824	-1.636096609
+175	-25	1.87027567286049	0.6478332592	-0.08793958109	-1.689741885
+180	-25	1.91249223290610	0.5000000000	-0.1082541431	-1.733306603
+185	-25	1.95467614463834	0.3454954265	-0.1234971587	-1.765995356
+190	-25	1.99668318779764	0.1849149923	-0.1332618835	-1.786935876
+195	-25	2.03832686359696	0.01898406705	-0.1371042704	-1.795175901
+200	-25	2.07936506105190	-0.1513929456	-0.1345449446	-1.789687409
+205	-25	2.11948596132956	-0.3250769299	-0.1250769299	-1.769383186
+210	-25	2.15829340925054	-0.5006340990	-0.1081806977	-1.733149099
+215	-25	2.19529382843342	-0.6762764401	-0.08334876762	-1.679896853
+220	-25	2.22988355930207	-0.8498080550	-0.05012049783	-1.608638599
+225	-25	2.26134523378650	-1.018590414	-0.008130339473	-1.518590414
+
+135	-30	1.59343298681928	1.543146754	0.09773894086	-1.043146754
+140	-30	1.63661841823334	1.462100675	0.03801772359	-1.146586936
+145	-30	1.68000519967046	1.371103516	-0.01826111819	-1.244064750
+150	-30	1.72342825381882	1.270740546	-0.07074054598	-1.334961785
+155	-30	1.76676407425312	1.161571136	-0.1191121606	-1.418743879
+160	-30	1.80992619189547	1.044111918	-0.1631012456	-1.494935209
+165	-30	1.85284762716488	0.9188262459	-0.2024451376	-1.563080829
+170	-30	1.89547642532187	0.7861293431	-0.2368779107	-1.622720142
+175	-30	1.93776532097014	0.6463998328	-0.2661135451	-1.673357746
+180	-30	1.97966275276214	0.5000000000	-0.2898313764	-1.714438235
+185	-30	2.02110000154446	0.3473041606	-0.3076617980	-1.745321431
+190	-30	2.06197745184600	0.1887366965	-0.3191744414	-1.765261914
+195	-30	2.10215278763663	0.02481966273	-0.3238713285	-1.773397161
+200	-30	2.14142671901324	-0.1437697876	-0.3211842211	-1.768742955
+205	-30	2.17952666885823	-0.3161315678	-0.3104783229	-1.750199795
+210	-30	2.21608942597110	-0.4910653201	-0.2910653201	-1.716575488
+215	-30	2.25064287973067	-0.6669862247	-0.2622287311	-1.666629051
+220	-30	2.28258665211286	-0.8418388400	-0.2232646359	-1.599141258
+225	-30	2.31118476137372	-1.013025588	-0.1735457304	-1.513025588
+
+135	-35	1.64865240428564	1.544730048	-0.03152785515	-1.044730048
+140	-35	1.69585858137464	1.460610580	-0.1016053685	-1.144811109
+145	-35	1.74251904847059	1.366977828	-0.1669778276	-1.238172656
+150	-35	1.78848722063214	1.264640985	-0.2273527881	-1.324397036
+155	-35	1.83367457816960	1.154311829	-0.2825145852	-1.403176246
+160	-35	1.87804260230078	1.036591145	-0.3322964057	-1.474272054
+165	-35	1.92158084181930	0.9119632282	-0.3765464722	-1.537467698
+170	-35	1.96429487227670	0.7808059757	-0.4151013882	-1.592529825
+175	-35	2.00619559910485	0.6434092425	-0.4477627910	-1.639175142
+180	-35	2.04728793548724	0.5000000000	-0.4742761182	-1.677040098
+185	-35	2.08755859028546	0.3507746721	-0.4943113000	-1.705653302
+190	-35	2.12696304383264	0.1959397791	-0.5074457233	-1.724411203
+195	-35	2.16541136807109	0.03576251486	-0.5131500889	-1.732557881
+200	-35	2.20275329718102	-0.1293669336	-0.5107788762	-1.729171439
+205	-35	2.23876038535582	-0.2988589801	-0.4995665738	-1.713158611
+210	-35	2.27310532972745	-0.4718322159	-0.4786332834	-1.683262774
+215	-35	2.30533846926228	-0.6470045850	-0.4470045850	-1.638092312
+220	-35	2.33486273140253	-0.8225712722	-0.4036524630	-1.576179065
+225	-35	2.36091753678647	-0.9960833986	-0.3475688735	-1.496083399
+
+135	-40	1.70924115731241	1.539424420	-0.1721806478	-1.039424420
+140	-40	1.76002013043028	1.451671402	-0.2516714022	-1.134157813
+145	-40	1.80935539036428	1.355253504	-0.3249002772	-1.221428587
+150	-40	1.85717428924843	1.251193100	-0.3917564035	-1.301104616
+155	-40	1.90347307696060	1.140317817	-0.4522230750	-1.373165989
+160	-40	1.94830006373848	1.023261587	-0.5063310770	-1.437649395
+165	-40	1.99173285673524	0.9004756598	-0.5541145408	-1.494595510
+170	-40	2.03385950764829	0.7722497754	-0.5955741950	-1.544005201
+175	-40	2.07476722125313	0.6387400827	-0.6306495666	-1.585806401
+180	-40	2.11453103734671	0.5000000000	-0.6591943511	-1.619824751
+185	-40	2.15320123352425	0.3560150199	-0.6809531300	-1.645755854
+190	-40	2.19079347157177	0.2067432494	-0.6955415690	-1.663141678
+195	-40	2.22727483574748	0.05216415878	-0.7024259069	-1.671346113
+200	-40	2.26254806003976	-0.1076602422	-0.7009043519	-1.669532794
+205	-40	2.29643266888942	-0.2725072503	-0.6900920078	-1.656647144
+210	-40	2.32864139974635	-0.4418929407	-0.6689125325	-1.631406429
+215	-40	2.35875121631454	-0.6149441697	-0.6361027846	-1.592305294
+220	-40	2.38617203946709	-0.7902418850	-0.5902418850	-1.537650402
+225	-40	2.41011597828302	-0.9656406986	-0.5298185696	-1.465640699
+
+135	-45	1.77573259643321	1.525219693	-0.3252196926	-1.025219693
+140	-45	1.82931593494329	1.433451637	-0.4124443425	-1.112444342
+145	-45	1.88043551403122	1.334372943	-0.4916080552	-1.191608055
+150	-45	1.92915972532907	1.229153839	-0.5629314956	-1.262931496
+155	-45	1.97562589457855	1.118658582	-0.6267176102	-1.326717610
+160	-45	2.02000943691949	1.003474362	-0.6832844414	-1.383284441
+165	-45	2.06250159597261	0.8839486721	-0.7329159519	-1.432915952
+170	-45	2.10329144974208	0.7602276949	-0.7758245948	-1.475824595
+175	-45	2.14255297997408	0.6322936165	-0.8121229565	-1.512122956
+180	-45	2.18043721025013	0.5000000000	-0.8418019373	-1.541801937
+185	-45	2.21706175095400	0.3631057809	-0.8647080846	-1.564708085
+190	-45	2.25250304545241	0.2213112452	-0.8805224686	-1.580522469
+195	-45	2.28678578582652	0.07429930350	-0.8887366282	-1.588736628
+200	-45	2.31986751203081	-0.07821205915	-0.8886245762	-1.588624576
+205	-45	2.35161959484437	-0.2363993596	-0.8792135229	-1.579213523
+210	-45	2.38180163794617	-0.4002364009	-0.8592551852	-1.559255185
+215	-45	2.41002732396142	-0.5693595051	-0.8272036457	-1.527203646
+220	-45	2.43572407238597	-0.7428857041	-0.7812135031	-1.481213503
+225	-45	2.45808636899560	-0.9191768268	-0.7191768268	-1.419176827
 
 
diff --git a/test/checkpointML/h.t1.ah1.gp b/test/checkpointML/h.t1.ah1.gp
index d19f4b4..59309c9 100644
--- a/test/checkpointML/h.t1.ah1.gp
+++ b/test/checkpointML/h.t1.ah1.gp
@@ -1,4 +1,4 @@
-# N_patches = 5
+# N_patches = 6
 # origin = 0.5 0.7 0
 
 ### +z patch
@@ -9,1220 +9,2329 @@
 # dpy = drho = dmu
 #
 # dpx	dpy	gridfn	global_x	global_y	global_z
--45	-45	2.45773568409563	-0.9189743588	-0.7189743588	1.418974359
--40	-45	2.43538044424928	-0.7427103597	-0.7810045358	1.481004536
--35	-45	2.40968927769250	-0.5692095097	-0.8269894301	1.526989430
--30	-45	2.38146968168268	-0.4001109332	-0.8590378688	1.559037869
--25	-45	2.35129413401348	-0.2362974430	-0.8789949620	1.578994962
--20	-45	2.31954763227066	-0.07813233118	-0.8884055254	1.588405525
--15	-45	2.28646783754646	0.07435849173	-0.8885157347	1.588515735
--10	-45	2.25218360897458	0.2213507671	-0.8802983284	1.580298328
--5	-45	2.21674134226704	0.3631255648	-0.8644819538	1.564481954
-0	-45	2.18011564641405	0.5000000000	-0.8415745574	1.541574557
-5	-45	2.14222881924231	0.6322736010	-0.8118941776	1.511894178
-10	-45	2.10296461126865	0.7601872571	-0.7755952608	1.475595261
-15	-45	2.06216964108489	0.8838868765	-0.7326853274	1.432685327
-20	-45	2.01967262973483	1.003390415	-0.6830537989	1.383053799
-25	-45	1.97528678759893	1.118552392	-0.6264898853	1.326489885
-30	-45	1.92882149278962	1.229025999	-0.5627100704	1.262710070
-35	-45	1.88009925741869	1.334223742	-0.4913949737	1.191394974
-40	-45	1.82898346594093	1.433281987	-0.4122421613	1.112242161
-45	-45	1.77540739196121	1.525031936	-0.3250319357	1.025031936
-
--45	-40	2.40976833302398	-0.9654292884	-0.5296411754	1.465429288
--40	-40	2.38583088654971	-0.7900574181	-0.5900574181	1.537430563
--35	-40	2.35841754148552	-0.6147864469	-0.6359137761	1.592080042
--30	-40	2.32831815360587	-0.4417621935	-0.6687225094	1.631179968
--25	-40	2.29611961433108	-0.2724019404	-0.6899025075	1.656421307
--20	-40	2.26224251764328	-0.1075781817	-0.7007151688	1.669307335
--15	-40	2.22697137402066	0.05222517552	-0.7022348292	1.671118395
--10	-40	2.19048701289811	0.2067842715	-0.6953463539	1.662909030
--5	-40	2.15289178396412	0.3560357128	-0.6807546648	1.645519332
-0	-40	2.11421689620162	0.5000000000	-0.6589924251	1.619584105
-5	-40	2.07444750695492	0.6387187033	-0.6304445182	1.585562034
-10	-40	2.03353662663856	0.7722065549	-0.5953685189	1.543760086
-15	-40	1.99140588196411	0.9004099153	-0.5539086579	1.494350148
-20	-40	1.94796858666950	1.023172561	-0.5061258360	1.437404798
-25	-40	1.90313830165583	1.140205200	-0.4520204266	1.372924482
-30	-40	1.85683947178771	1.251057673	-0.3915595781	1.300870049
-35	-40	1.80902408035494	1.355096899	-0.3247126083	1.221204932
-40	-40	1.75969127403321	1.451493584	-0.2514935843	1.133945897
-45	-40	1.70891919899764	1.539228631	-0.1720163610	1.039228631
-
--45	-35	2.36057085991172	-0.9958637138	-0.3474150486	1.495863714
--40	-35	2.33452371939339	-0.8223792406	-0.4034922174	1.575950211
--35	-35	2.30501226151807	-0.6468422827	-0.4468422827	1.637860520
--30	-35	2.27279440365711	-0.4716992841	-0.4784720644	1.683032530
--25	-35	2.23846131416904	-0.2987522623	-0.4994063263	1.712929754
--20	-35	2.20246127811527	-0.1292834984	-0.5106183632	1.728942202
--15	-35	2.16512110897322	0.03582474283	-0.5129874741	1.732325643
--10	-35	2.12667038019485	0.1959816168	-0.5072795825	1.724173929
--5	-35	2.08726287019060	0.3507958111	-0.4941421158	1.705411682
-0	-35	2.04698516774329	0.5000000000	-0.4741024578	1.676792085
-5	-35	2.00588321092446	0.6433869120	-0.4475840709	1.638919903
-10	-35	1.96397595145193	0.7807603844	-0.4149203416	1.592271263
-15	-35	1.92125756288499	0.9118939212	-0.3763653584	1.537209041
-20	-35	1.87771555649574	1.036497702	-0.3321166397	1.474015322
-25	-35	1.83334439622195	1.154194010	-0.2823376680	1.402923582
-30	-35	1.78815480113017	1.264498864	-0.2271804245	1.324150875
-35	-35	1.74219062846139	1.366814425	-0.1668144246	1.237939293
-40	-35	1.69553354599710	1.460426465	-0.1014517294	1.144591690
-45	-35	1.64833217384571	1.544527122	-0.03138576487	1.044527122
-
--45	-30	2.31083583754225	-1.012797163	-0.1734138495	1.512797163
--40	-30	2.28224918293084	-0.8416404558	-0.2231281358	1.598904833
--35	-30	2.25032265268813	-0.6668201830	-0.2620918228	1.666391919
--30	-30	2.21578670047978	-0.4909299372	-0.2909299372	1.716340998
--25	-30	2.17923570192357	-0.3160226142	-0.3103434240	1.749966143
--20	-30	2.14114151843841	-0.1436840487	-0.3210482172	1.768507389
--15	-30	2.10186897172358	0.02488381779	-0.3237330936	1.773157731
--10	-30	2.06169270538202	0.1887796801	-0.3190336996	1.765018142
--5	-30	2.02081333715308	0.3473258183	-0.3075188755	1.745073882
-0	-30	1.97936906211578	0.5000000000	-0.2896845311	1.714183891
-5	-30	1.93746030254758	0.6463767884	-0.2659614718	1.673094347
-10	-30	1.89516202528507	0.7860818833	-0.2367225120	1.622450983
-15	-30	1.85252643581662	0.9187536423	-0.2022886986	1.562809869
-20	-30	1.80960105952907	1.044014175	-0.1629461994	1.494666662
-25	-30	1.76643734105361	1.161448789	-0.1189606796	1.418481506
-30	-30	1.72309823506772	1.270592957	-0.07059295710	1.334706154
-35	-30	1.67967787263878	1.370933793	-0.01812117441	1.243822360
-40	-30	1.63629543479080	1.461910807	0.03814836450	1.146360660
-45	-30	1.59311518428121	1.542938703	0.09785905893	1.042938703
-
--45	-25	2.26099325551342	-1.018354045	-0.008020119020	1.518354045
--40	-25	2.22954625776488	-0.8496038773	-0.05000703145	1.608395269
--35	-25	2.19497581078089	-0.6761060408	-0.08323528908	1.679653498
--30	-25	2.15799207486657	-0.5004943935	-0.1080678620	1.732907122
--25	-25	2.11919532526793	-0.3249637907	-0.1249637907	1.769140558
--20	-25	2.07908002693675	-0.1513036543	-0.1344305473	1.789442083
--15	-25	2.03804347053710	0.01905094375	-0.1369878859	1.794926314
--10	-25	1.99639989495573	0.1849596971	-0.1331436588	1.786682342
--5	-25	1.95439174026501	0.3455179069	-0.1233773403	1.765738404
-0	-25	1.91220264625292	0.5000000000	-0.1081317585	1.733044149
-5	-25	1.86997612246171	0.6478095817	-0.08781338172	1.689471249
-10	-25	1.82782847225058	0.7884390231	-0.06279492148	1.635818988
-15	-25	1.78585351104112	0.9214358394	-0.03341799447	1.572819965
-20	-25	1.74413571094007	1.046377218	-1.970603574e-06	1.501159070
-25	-25	1.70276169062399	1.162853830	0.03714616952	1.421494627
-30	-25	1.66181557932747	1.270455642	0.07772720400	1.334468317
-35	-25	1.62140447157386	1.368776587	0.1214327129	1.240741551
-40	-25	1.58164751279895	1.457413469	0.1679425234	1.141000941
-45	-25	1.54269252389284	1.535984264	0.2169126039	1.035984264
-
--45	-20	2.21127934623239	-1.014264369	0.1488528429	1.514264369
--40	-20	2.17676072098380	-0.8477873115	0.1153799558	1.606230371
--35	-20	2.13941470397163	-0.6759637969	0.08873006175	1.679450353
--30	-20	2.09993980530120	-0.5014003166	0.06870228131	1.734476227
--25	-20	2.05894203251138	-0.3263482429	0.05500488080	1.772109526
--20	-20	2.01693544443508	-0.1527117279	0.04728827214	1.793310734
--15	-20	1.97434532431716	0.01792630344	0.04517258784	1.799123529
--10	-20	1.93151789488021	0.1842654686	0.04826779831	1.790619508
--5	-20	1.88872967656340	0.3452450081	0.05618846608	1.768857652
-0	-20	1.84619775529753	0.5000000000	0.06856317913	1.734858407
-5	-20	1.80409623727965	0.6478204648	0.08503747769	1.689595644
-10	-20	1.76256815266712	0.7881172529	0.1052747708	1.633994138
-15	-20	1.72172899067620	0.9203926480	0.1289573736	1.568926722
-20	-20	1.68168027132315	1.044217932	0.1557820685	1.495226478
-25	-20	1.64251409080787	1.159216535	0.1854573101	1.413694422
-30	-20	1.60431789728683	1.265052620	0.2176993997	1.325110009
-35	-20	1.56718479588895	1.361428399	0.2522266199	1.230247251
-40	-20	1.53121010349296	1.448081031	0.2887576848	1.129878975
-45	-20	1.49650304966038	1.524791938	0.3270062383	1.024791938
-
--45	-15	2.16178719337016	-1.001894282	0.2975686400	1.501894282
--40	-15	2.12409521996043	-0.8374578284	0.2729103771	1.593920172
--35	-15	2.08394224072216	-0.6675078241	0.2532284908	1.667373972
--30	-15	2.04202280534233	-0.4945845111	0.2384117220	1.722670906
--25	-15	1.99894718373931	-0.3209317424	0.2282771072	1.760493803
--20	-15	1.95524332420414	-0.1484918876	0.2225904175	1.781716818
--15	-15	1.91135687803318	0.02108505530	0.2210850553	1.787334906
--10	-15	1.86765703614329	0.1864186692	0.2234769858	1.778408100
--5	-15	1.82444179908447	0.3463684818	0.2294768537	1.756016288
-0	-15	1.78194710543609	0.5000000000	0.2387981517	1.721228730
-5	-15	1.74036389700375	0.6465515358	0.2511605265	1.675091719
-10	-15	1.69984667323724	0.7854058168	0.2662929302	1.618616820
-15	-15	1.66051395306561	0.9160630373	0.2839369627	1.552768394
-20	-15	1.62246500910756	1.038119928	0.3038445277	1.478472350
-25	-15	1.58578001995756	1.151251401	0.3257786377	1.396613137
-30	-15	1.55052995153510	1.255198752	0.3495110395	1.308042608
-35	-15	1.51677976920191	1.349760715	0.3748211282	1.213584071
-40	-15	1.48459000346036	1.434786964	0.4014950277	1.114035723
-45	-15	1.45402454111840	1.510178593	0.4293234619	1.010178593
-
--45	-10	2.11251758013676	-0.9822983292	0.4386308111	1.482298329
--40	-10	2.07165028226339	-0.8196470241	0.4226916009	1.572694082
--35	-10	2.02875538048652	-0.6516946733	0.4099790657	1.644790452
--30	-10	1.98452602795647	-0.4808924943	0.4004282822	1.698955637
--25	-10	1.93957406703452	-0.3094289320	0.3939270518	1.735825946
--20	-10	1.89443234939332	-0.1392188078	0.3903276373	1.756239241
--15	-10	1.84955512383938	0.02809559488	0.3894579969	1.761171216
--10	-10	1.80532053100428	0.1911315561	0.3911315561	1.751679990
--5	-10	1.76203318799072	0.3487444584	0.3951555563	1.728858751
-0	-10	1.71993262582812	0.5000000000	0.4013368338	1.693802985
-5	-10	1.67921092501280	0.6441459557	0.4094844049	1.647595813
-10	-10	1.64001771450680	0.7805871371	0.4194128629	1.591288730
-15	-10	1.60246071601464	0.9088595475	0.4309453748	1.525884604
-20	-10	1.56662231468259	1.028609242	0.4439129279	1.452341956
-25	-10	1.53256066233594	1.139572864	0.4581554795	1.371568432
-30	-10	1.50031990845764	1.241563737	0.4735210292	1.284426069
-35	-10	1.46993009851184	1.334457757	0.4898659914	1.191729183
-40	-10	1.44141424452030	1.418184905	0.5070541732	1.094250160
-45	-10	1.41479139443352	1.492722115	0.5249563068	0.9927221150
-
--45	-5	2.06340568723098	-0.9562641565	0.5725933952	1.456264157
--40	-5	2.01945116675495	-0.7951726788	0.5649589125	1.543526693
--35	-5	1.97396817219367	-0.6293251863	0.5588944765	1.612843514
--30	-5	1.92764758609445	-0.4610691362	0.5543645708	1.664620573
--25	-5	1.88109559102886	-0.2924979689	0.5513114959	1.699517379
--20	-5	1.83483820071788	-0.1254415394	0.5496606611	1.718386507
--15	-5	1.78932035047819	0.03853466775	0.5493259680	1.722212066
--10	-5	1.74491042605716	0.1981179176	0.5502143017	1.712058366
--5	-5	1.70190511090820	0.3522293761	0.5522293761	1.689025960
-0	-5	1.66053112083124	0.5000000000	0.5552751768	1.654212299
-5	-5	1.62096505969083	0.6407428749	0.5592571251	1.608698421
-10	-5	1.58333787667933	0.7739288666	0.5640839289	1.553527801
-15	-5	1.54773475897482	0.8991604603	0.5696692649	1.489687118
-20	-5	1.51421417407874	1.016150385	0.5759313177	1.418111528
-25	-5	1.48280712813866	1.124700649	0.5827936364	1.339674866
-30	-5	1.45352834826989	1.224687046	0.5901846860	1.255194783
-35	-5	1.42637432497112	1.316041754	0.5980382264	1.165428405
-40	-5	1.40133573762719	1.398745061	0.6062924100	1.071082655
-45	-5	1.37839438177393	1.472812251	0.6148899563	0.9728122512
-
--45	0	2.01433953780075	-0.9243531468	0.7000000000	1.424353147
--40	0	1.96746898412353	-0.7646646854	0.7000000000	1.507168682
--35	0	1.91963793026091	-0.6010590831	0.7000000000	1.572475335
--30	0	1.87152515150464	-0.4357625758	0.7000000000	1.620788325
--25	0	1.82371928445260	-0.2707370739	0.7000000000	1.652850989
--20	0	1.77672136997888	-0.1076744976	0.7000000000	1.669571961
--15	0	1.73094859880131	0.05199753654	0.7000000000	1.671967956
--10	0	1.68674110818889	0.2071004804	0.7000000000	1.661115721
--5	0	1.64436701592338	0.3566839714	0.7000000000	1.638109703
-0	0	1.60402402351290	0.5000000000	0.7000000000	1.604024024
-5	0	1.56586000950849	0.6364736922	0.7000000000	1.559901439
-10	0	1.52997532062011	0.7656774263	0.7000000000	1.506731558
-15	0	1.49642676449354	0.8873037463	0.7000000000	1.445437259
-20	0	1.46524648063440	1.001143811	0.7000000000	1.376881305
-25	0	1.43643792370949	1.107064898	0.7000000000	1.301854876
-30	0	1.40998982031167	1.204994910	0.7000000000	1.221087003
-35	0	1.38587249136907	1.294903805	0.7000000000	1.135240284
-40	0	1.36405290398872	1.376796306	0.7000000000	1.044925147
-45	0	1.34448804828007	1.450696616	0.7000000000	0.9506966162
-
--45	5	1.96518530493225	-0.8869443795	0.8213419101	1.386944379
--40	5	1.91564949353586	-0.7285995952	0.8280998497	1.464187981
--35	5	1.86579288980178	-0.5674371211	0.8333728102	1.524458197
--30	5	1.81626191888632	-0.4055354755	0.8372201465	1.568433452
--25	5	1.76761008063734	-0.2446869821	0.8397182046	1.596986387
--20	5	1.72029314769344	-0.08639655211	0.8409539732	1.611111286
--15	5	1.67467945774451	0.06810052925	0.8410204193	1.611870769
--10	5	1.63106009242214	0.2178148460	0.8400126168	1.600351534
--5	5	1.58965522902246	0.3619756510	0.8380243490	1.577625528
-0	5	1.55061850356466	0.5000000000	0.8351453074	1.544717932
-5	5	1.51405678581403	0.6314603936	0.8314603936	1.502599175
-10	5	1.48003341741642	0.7560564505	0.8270482631	1.452168292
-15	5	1.44857556222439	0.8735873249	0.8219807959	1.394246878
-20	5	1.41968892265199	0.9839295503	0.8163236595	1.329585512
-25	5	1.39335417554980	1.087014482	0.8101356832	1.258856619
-30	5	1.36954108401819	1.182813433	0.8034700041	1.182667559
-35	5	1.34820635858144	1.271321148	0.7963740787	1.101560760
-40	5	1.32930379213584	1.352547455	0.7888908000	1.016026493
-45	5	1.31277999042694	1.426504399	0.7810586316	0.9265043987
-
--45	10	1.91579169460386	-0.8442609210	0.9370294695	1.344260921
--40	10	1.86392240294622	-0.6873237840	0.9495022166	1.414997385
--35	10	1.81243968634422	-0.5288954265	0.9590975020	1.469414952
--30	10	1.76193605115769	-0.3708728551	0.9659709180	1.508396032
--25	10	1.71290096054548	-0.2148330237	0.9703029783	1.532964366
--20	10	1.66572369609641	-0.06204800107	0.9722866260	1.544214192
--15	10	1.62070144340644	0.08648642548	0.9721172601	1.543253670
--10	10	1.57805518461385	0.2300139001	0.9699860999	1.531167260
--5	10	1.53794037454604	0.3679809178	0.9660747715	1.508985014
-0	10	1.50045378215441	0.5000000000	0.9605510649	1.477658518
-5	10	1.46565393138935	0.6258139067	0.9535686958	1.438059534
-10	10	1.43356485706004	0.7452655575	0.9452655575	1.390970097
-15	10	1.40418384246337	0.8582702307	0.9357637561	1.337082704
-20	10	1.37749281463036	0.9647932216	0.9251711203	1.277008881
-25	10	1.35345798111110	1.064829189	0.9135813638	1.211280106
-30	10	1.33203971681366	1.158387818	0.9010764387	1.140361151
-35	10	1.31319438160577	1.245481190	0.8877278380	1.064657475
-40	10	1.29687515928732	1.326113104	0.8735980138	0.9845232593
-45	10	1.28303490830819	1.400272035	0.8587422498	0.9002720350
-
--45	15	1.86600325396900	-0.7963993988	1.047369172	1.296399399
--40	15	1.81221537019064	-0.6410795575	1.064380265	1.359885662
--35	15	1.75957959448996	-0.4857868916	1.077232159	1.407849584
--30	15	1.70860841764810	-0.3321922083	1.086221748	1.441399186
--25	15	1.65969854373389	-0.1816084129	1.091665075	1.461713959
--20	15	1.61314530274839	-0.03502887820	1.093879890	1.469979762
--15	15	1.56915287595681	0.1068286507	1.093171349	1.467335452
--10	15	1.52785423174551	0.2434718720	1.089824090	1.454843308
--5	15	1.48932813159673	0.3745875357	1.084097404	1.433471026
-0	15	1.45360647266219	0.5000000000	1.076221039	1.404076033
-5	15	1.42069499493562	0.6196330456	1.066396933	1.367411968
-10	15	1.39057698042065	0.7334791515	1.054798510	1.324126067
-15	15	1.36322213969559	0.8415727660	1.041572766	1.274766917
-20	15	1.33859439405533	0.9439690930	1.026843101	1.219795058
-25	15	1.31665418357889	1.040726249	1.010711521	1.159591184
-30	15	1.29736416818156	1.131892212	0.9932621961	1.094469416
-35	15	1.28069075774267	1.217494204	0.9745643001	1.024687918
-40	15	1.26660126758936	1.297528173	0.9546742032	0.9504570658
-45	15	1.25507109133157	1.371956362	0.9336400029	0.8719563617
-
--45	20	1.81567066951403	-0.7433550765	1.152544238	1.243355076
--40	20	1.76046915167345	-0.5900316062	1.172815199	1.299049083
--35	20	1.70722893293792	-0.4384059175	1.187786553	1.340182541
--30	20	1.65635043993616	-0.2898654289	1.197942966	1.368087054
--25	20	1.60810742203753	-0.1454075548	1.203764274	1.384080968
--20	20	1.56267464942469	-0.005705858522	1.205705859	1.389415427
--15	20	1.52014615633803	0.1288276079	1.204184026	1.385234226
--10	20	1.48055305505882	0.2579821930	1.199567778	1.372551189
--5	20	1.44388915681888	0.3816934696	1.192178687	1.352249830
-0	20	1.41011759139818	0.5000000000	1.182288621	1.325077095
-5	20	1.37919032750834	0.6130053658	1.170124789	1.291657242
-10	20	1.35105163279726	0.7208489268	1.155871446	1.252496503
-15	20	1.32564809070047	0.8236820163	1.139675217	1.207997730
-20	20	1.30293134823743	0.9216488802	1.121648880	1.158470777
-25	20	1.28286499828875	1.014872794	1.101877105	1.104148270
-30	20	1.26542207128522	1.103443041	1.080419508	1.045194007
-35	20	1.25058970248946	1.187406800	1.057316367	0.9817186508
-40	20	1.23836489436297	1.266759743	1.032591879	0.9137886787
-45	20	1.22875854918219	1.341442892	1.006260167	0.8414428924
-
--45	25	1.76466021631007	-0.6850450996	1.252595605	1.185045100
--40	25	1.70864341713222	-0.5342874801	1.274778197	1.232615820
--35	25	1.65541999803742	-0.3870026950	1.290705079	1.266771131
--30	25	1.60524080369294	-0.2442262847	1.301088169	1.289037737
--25	25	1.55822797695317	-0.1065895122	1.306589512	1.300835407
--20	25	1.51441318478512	0.02558688044	1.307803743	1.303439333
--15	25	1.47376638260762	0.1522122511	1.305249410	1.297961549
--10	25	1.43621067415721	0.2733599130	1.299363794	1.285339805
--5	25	1.40165196549298	0.3892084299	1.290510307	1.266353441
-0	25	1.36998575415013	0.5000000000	1.278980998	1.241628757
-5	25	1.34111316793835	0.6060063676	1.265005557	1.211658326
-10	25	1.31494349781385	0.7075036163	1.248756208	1.176811487
-15	25	1.29140510721337	0.8047531010	1.230356907	1.137354057
-20	25	1.27044370505642	0.8979859443	1.209887557	1.093457395
-25	25	1.25202984812875	0.9873922084	1.187392208	1.045215964
-30	25	1.23615407535314	1.073109251	1.162882321	0.9926543412
-35	25	1.22283214135313	1.155214632	1.136344346	0.9357434708
-40	25	1.21210296906977	1.233718290	1.107744736	0.8744114076
-45	25	1.20402423015081	1.308553964	1.077034906	0.8085539644
-
--45	30	1.71287127788732	-0.6213374695	1.347404490	1.121337470
--40	30	1.65673491867811	-0.4739263390	1.370119034	1.160680213
--35	30	1.60422004275902	-0.3318079728	1.385860307	1.187944898
--30	30	1.55538327601081	-0.1955885472	1.395588547	1.204794705
--25	30	1.51017219550317	-0.06548938776	1.400150308	1.212695906
--20	30	1.46846026579657	0.05854181466	1.400266061	1.212896396
--15	30	1.43008520162417	0.1767369278	1.396535116	1.206434210
--10	30	1.39486488087736	0.2894398649	1.389440437	1.194145866
--5	30	1.36262105958469	0.3970528097	1.379363310	1.176691770
-0	30	1.33318711391314	0.5000000000	1.366593557	1.154573909
-5	30	1.30641944667372	0.5987011102	1.351342817	1.128158852
-10	30	1.28219846667615	0.6935527133	1.333752762	1.097691984
-15	30	1.26043784660210	0.7849151996	1.313906934	1.063318001
-20	30	1.24108085492030	0.8731018910	1.291835422	1.025089021
-25	30	1.22410770289909	0.9583715139	1.267524278	0.9829808837
-30	30	1.20953167087535	1.040919007	1.240919007	0.9368992036
-35	30	1.19740244875121	1.120868009	1.211931524	0.8866914091
-40	30	1.18780465870340	1.198261520	1.180445303	0.8321556751
-45	30	1.18085307150992	1.273049798	1.146320509	0.7730497978
-
--45	35	1.66025428749563	-0.5520820140	1.436675757	1.052082014
--40	35	1.60479232755295	-0.4090265572	1.458559799	1.083335665
--35	35	1.55373291274000	-0.2730486428	1.473048643	1.104027878
--30	35	1.50690352459742	-0.1442540837	1.481348152	1.115880806
--25	35	1.46405553420872	-0.02242031732	1.484466302	1.120333986
--20	35	1.42490269550041	0.09287922016	1.483220748	1.118555150
--15	35	1.38915301957136	0.2021827290	1.478259103	1.111469187
--10	35	1.35652810173289	0.3060773855	1.470081107	1.099789798
--5	35	1.32677517729508	0.4051578903	1.459060174	1.084050274
-0	35	1.29967540922909	0.5000000000	1.445463190	1.064631768
-5	35	1.27504872517917	0.5911445384	1.429466999	1.041786841
-10	35	1.25275301709278	0.6790874365	1.411169513	1.015655323
-15	35	1.23269057256154	0.7642736525	1.390602580	0.9862826982
-20	35	1.21480444829840	0.8470918652	1.367736858	0.9536270622
-25	35	1.19908495394654	0.9278706152	1.342490478	0.9175714954
-30	35	1.18556767485569	1.006871743	1.314731532	0.8779276118
-35	35	1.17433436733210	1.084281624	1.284281624	0.8344406360
-40	35	1.16551683712911	1.160201161	1.250921264	0.7867971055
-45	35	1.15929388070227	1.234629779	1.214393309	0.7346297793
-
--45	40	1.60682491782062	-0.4771430156	1.519920344	0.9771430156
--40	40	1.55293160920380	-0.3396952833	1.539695283	1.000709871
--35	40	1.50411893344070	-0.2109730877	1.552000619	1.015374798
--30	40	1.45996465818936	-0.09052905499	1.558253193	1.022826327
--25	40	1.42001700746326	0.02231413155	1.559574208	1.024400651
--20	40	1.38383842199607	0.1283377995	1.556832746	1.021133504
--15	40	1.35102135241784	0.2283515379	1.550684125	1.013805862
--10	40	1.32120674805974	0.3231449916	1.541612394	1.002994594
--5	40	1.29408322636160	0.4134644060	1.529958786	0.9891063650
-0	40	1.26939310678364	0.5000000000	1.515950161	0.9724115356
-5	40	1.24693015516500	0.5833824590	1.499717218	0.9530658678
-10	40	1.22653678515239	0.6641826109	1.481307363	0.9311258565
-15	40	1.20810797852125	0.7429130183	1.460697288	0.9065637260
-20	40	1.19158721228758	0.8200286380	1.437796355	0.8792714565
-25	40	1.17697031355941	0.8959263047	1.412451555	0.8490667004
-30	40	1.16430899714866	0.9709417368	1.384449387	0.8156950156
-35	40	1.15371199265579	1.045341302	1.353514366	0.7788280936
-40	40	1.14535225353898	1.119310522	1.319310522	0.7380655392
-45	40	1.13947163313488	1.192935948	1.281442298	0.6929359481
-
--45	45	1.55269884673818	-0.3964510971	1.596451097	0.8964510971
--40	45	1.50134744848078	-0.2660979755	1.613000015	0.9130000145
--35	45	1.45559523005950	-0.1458659532	1.622392174	0.9223921737
--30	45	1.41476100691315	-0.03472939841	1.626178486	0.9261784864
--25	45	1.37820560599526	0.06842096065	1.625524237	0.9255242366
--20	45	1.34535944518580	0.1646778098	1.621290146	0.9212901458
--15	45	1.31572659340002	0.2550685636	1.614096565	0.9140965649
--10	45	1.28888946860817	0.3405334005	1.604380027	0.9043800268
--5	45	1.26449877961171	0.4219225297	1.592429569	0.8924295693
-0	45	1.24227316242221	0.5000000000	1.578419777	0.8784197772
-5	45	1.22199122655067	0.5754528081	1.562429542	0.8624295425
-10	45	1.20348642703463	0.6489001911	1.544454946	0.8444549464
-15	45	1.18664823751103	0.7209026243	1.524419817	0.8244198173
-20	45	1.17141880651034	0.7919686046	1.502177148	0.8021771482
-25	45	1.15779486599220	0.8625583831	1.477508962	0.7775089616
-30	45	1.14583565032921	0.9330851677	1.450125515	0.7501255145
-35	45	1.13566707763278	1.003909799	1.419657775	0.7196577749
-40	45	1.12749065554440	1.075328722	1.385650071	0.6856500712
-45	45	1.12159748768941	1.147554611	1.347554611	0.6475546114
+-45	-45	2.45787967573392	-0.9190574924	-0.7190574924	1.419057492
+-40	-45	2.43552101254946	-0.7427820880	-0.7810900182	1.481090018
+-35	-45	2.40982796595816	-0.5692710475	-0.8270773151	1.527077315
+-30	-45	2.38160544122417	-0.4001622455	-0.8591267443	1.559126744
+-25	-45	2.35142567091198	-0.2363386332	-0.8790832947	1.579083295
+-20	-45	2.31967481567629	-0.07816403082	-0.8884926194	1.588492619
+-15	-45	2.28659323766983	0.07433514765	-0.8886028560	1.588602856
+-10	-45	2.25230959399051	0.2213351798	-0.8803867288	1.580386729
+-5	-45	2.21686639462634	0.3631178433	-0.8645702104	1.564570210
+0	-45	2.18023911865809	0.5000000000	-0.8416618654	1.541661865
+5	-45	2.14235151011547	0.6322811766	-0.8119807676	1.511980768
+10	-45	2.10308620499494	0.7602023012	-0.7756805800	1.475680580
+15	-45	2.06229242964201	0.8839097344	-0.7327706343	1.432770634
+20	-45	2.01979646249834	1.003421280	-0.6831385985	1.383138598
+25	-45	1.97540949207179	1.118590816	-0.6265722866	1.326572287
+30	-45	1.92894056972377	1.229071006	-0.5627880245	1.262788025
+35	-45	1.88021455078104	1.334274899	-0.4914680336	1.191468034
+40	-45	1.82909431358587	1.433338550	-0.4123095700	1.112309570
+45	-45	1.77551166209305	1.525092136	-0.3250921361	1.025092136
+
+-45	-40	2.40990857819842	-0.9655145743	-0.5297127388	1.465514574
+-40	-40	2.38596807804691	-0.7901315998	-0.5901315998	1.537518969
+-35	-40	2.35855084643217	-0.6148494580	-0.6359892861	1.592170031
+-30	-40	2.32844416687967	-0.4418131636	-0.6687965874	1.631268251
+-25	-40	2.29623771167400	-0.2724416677	-0.6899739950	1.656506502
+-20	-40	2.26235432611729	-0.1076082104	-0.7007843974	1.669389838
+-15	-40	2.22708120604483	0.05220309171	-0.7023039860	1.671200813
+-10	-40	2.19059883983107	0.2067693025	-0.6954175880	1.662993924
+-5	-40	2.15300455146356	0.3560281720	-0.6808269881	1.645605524
+0	-40	2.11433143012047	0.5000000000	-0.6590660461	1.619671843
+5	-40	2.07456405055942	0.6387264966	-0.6305192633	1.585651112
+10	-40	2.03365241655417	0.7722220544	-0.5954422774	1.543847988
+15	-40	1.99152177059020	0.9004332169	-0.5539816283	1.494437111
+20	-40	1.94808520957031	1.023203883	-0.5061980455	1.437490854
+25	-40	1.90325496940788	1.140244446	-0.4520910487	1.373008646
+30	-40	1.85695372898188	1.251103888	-0.3916267452	1.300950095
+35	-40	1.80913344939433	1.355148596	-0.3247745598	1.221278763
+40	-40	1.75979804687586	1.451551318	-0.2515513181	1.134014702
+45	-40	1.70902027231399	1.539290096	-0.1720679360	1.039290096
+
+-45	-35	2.36070983677391	-0.9959517817	-0.3474767143	1.495951782
+-40	-35	2.33465862885492	-0.8224556594	-0.4035559869	1.576041283
+-35	-35	2.30513810386659	-0.6469048946	-0.4469048946	1.637949939
+-30	-35	2.27290822496843	-0.4717479467	-0.4785310821	1.683116816
+-25	-35	2.23856565490835	-0.2987894943	-0.4994622339	1.713009599
+-20	-35	2.20255984348120	-0.1293116603	-0.5106725412	1.729019577
+-15	-35	2.16521799528972	0.03580397160	-0.5130417537	1.732403163
+-10	-35	2.12676855108911	0.1959675828	-0.5073353126	1.724253520
+-5	-35	2.08736189511851	0.3507887325	-0.4941987689	1.705492591
+0	-35	2.04708812777853	0.5000000000	-0.4741615132	1.676876425
+5	-35	2.00599202487745	0.6433946903	-0.4476463243	1.639008811
+10	-35	1.96408718668974	0.7807762860	-0.4149834882	1.592361446
+15	-35	1.92136902856068	0.9119178180	-0.3764278059	1.537298225
+20	-35	1.87782698091524	1.036529538	-0.3321778860	1.474102790
+25	-35	1.83345578751623	1.154233758	-0.2823973533	1.403008822
+30	-35	1.78826616481914	1.264546476	-0.2272381679	1.324233341
+35	-35	1.74229688618231	1.366867292	-0.1668672924	1.238014796
+40	-35	1.69563661383609	1.460484847	-0.1015004480	1.144661267
+45	-35	1.64843195111611	1.544590350	-0.03143003730	1.044590350
+
+-45	-30	2.31097655623500	-1.012889285	-0.1734670362	1.512889285
+-40	-30	2.28238231718201	-0.8417187199	-0.2231819862	1.598998105
+-35	-30	2.25044256407445	-0.6668823585	-0.2621430891	1.666480714
+-30	-30	2.21589260685647	-0.4909773000	-0.2909773000	1.716423033
+-25	-30	2.17933241444133	-0.3160588286	-0.3103882621	1.750043805
+-20	-30	2.14123384084976	-0.1437118033	-0.3210922431	1.768583644
+-15	-30	2.10195999792874	0.02486324181	-0.3237774287	1.773234522
+-10	-30	2.06178346194925	0.1887659800	-0.3190785579	1.765095839
+-5	-30	2.02090366989544	0.3473189936	-0.3075639128	1.745151889
+0	-30	1.97946314199169	0.5000000000	-0.2897315710	1.714265367
+5	-30	1.93756177780642	0.6463844549	-0.2660120644	1.673181976
+10	-30	1.89526861885753	0.7860979740	-0.2367751981	1.622542238
+15	-30	1.85263558221288	0.9187783143	-0.2023418593	1.562901946
+20	-30	1.80971030393073	1.044047017	-0.1629982949	1.494756894
+25	-30	1.76654507696716	1.161489132	-0.1190106284	1.418568020
+30	-30	1.72320715145101	1.270641666	-0.07064166599	1.334790520
+35	-30	1.67978320214882	1.370988407	-0.01816620647	1.243900358
+40	-30	1.63639683550262	1.461970416	0.03810734976	1.146431699
+45	-30	1.59321311211376	1.543002812	0.09782204569	1.043002812
+
+-45	-25	2.26113626059120	-1.018450079	-0.008064900433	1.518450079
+-40	-25	2.22967866189586	-0.8496840251	-0.05005157147	1.608490786
+-35	-25	2.19509317746311	-0.6761689279	-0.08327716915	1.679743310
+-30	-25	2.15809648548360	-0.5005428006	-0.1081069589	1.732990966
+-25	-25	2.11929177810736	-0.3250013380	-0.1250013380	1.769221079
+-20	-25	2.07917237957603	-0.1513325852	-0.1344676127	1.789521570
+-15	-25	2.03813430277861	0.01902950864	-0.1370251891	1.795006311
+-10	-25	1.99648940191074	0.1849455725	-0.1331810122	1.786762447
+-5	-25	1.95447993110702	0.3455109359	-0.1234144947	1.765818082
+0	-25	1.91229263723948	0.5000000000	-0.1081697903	1.733125708
+5	-25	1.87007205160910	0.6478171642	-0.08785379628	1.689557918
+10	-25	1.82793073391824	0.7884551605	-0.06283759763	1.635910507
+15	-25	1.78596045511712	0.9214610767	-0.03346191448	1.572914152
+20	-25	1.74424530499998	1.046411551	-4.595574614e-05	1.501253397
+25	-25	1.70286876107563	1.162895511	0.03710448896	1.421584011
+30	-25	1.66192237312452	1.270505154	0.07768721469	1.334554075
+35	-25	1.62150828756346	1.368832213	0.1213956682	1.240820994
+40	-25	1.58174925279444	1.457475054	0.1679082986	1.141074336
+45	-25	1.54279079775395	1.536050259	0.2168818299	1.036050259
+
+-45	-20	2.21142351853933	-1.014363097	0.1488169089	1.514363097
+-40	-20	2.17689543373436	-0.8478707217	0.1153437755	1.606329775
+-35	-20	2.13953580377376	-0.6760303613	0.08869546132	1.679545416
+-30	-20	2.10004891356383	-0.5014523472	0.06866948047	1.734566347
+-25	-20	2.05904364814585	-0.3263890259	0.05497304815	1.772196985
+-20	-20	2.01703296440116	-0.1527432868	0.04725671316	1.793397441
+-15	-20	1.97444082493833	0.01790298516	0.04514091332	1.799210554
+-10	-20	1.93161146261813	0.1842501736	0.04823622672	1.790706250
+-5	-20	1.88882103288171	0.3452375227	0.05615732544	1.768943210
+0	-20	1.84628947792123	0.5000000000	0.06853180814	1.734944598
+5	-20	1.80419209314059	0.6478283188	0.08500480329	1.689685416
+10	-20	1.76266907721507	0.7881337504	0.1052407169	1.634087700
+15	-20	1.72183475649514	0.9204184728	0.1289222945	1.569023101
+20	-20	1.68178875256728	1.044253038	0.1557469622	1.495322932
+25	-20	1.64262231029972	1.159259969	0.1854234087	1.413787565
+30	-20	1.60442555308004	1.265103958	0.2176670355	1.325198928
+35	-20	1.56728866558344	1.361485493	0.2521969424	1.230328789
+40	-20	1.53131155281489	1.448143846	0.2887304382	1.129953834
+45	-20	1.49660169193212	1.524859487	0.3269816524	1.024859487
+
+-45	-15	2.16193544407006	-1.001997279	0.2975410421	1.501997279
+-40	-15	2.12423617826848	-0.8375465842	0.2728820348	1.594025947
+-35	-15	2.08407158075631	-0.6675802855	0.2532007619	1.667477458
+-30	-15	2.04213965670173	-0.4946414246	0.2383853084	1.722769483
+-25	-15	1.99905577373572	-0.3209763384	0.2282514815	1.760589439
+-20	-15	1.95534775233704	-0.1485265231	0.2225649194	1.781811978
+-15	-15	1.91145940693440	0.02105936537	0.2210593654	1.787430782
+-10	-15	1.86775727139028	0.1864018396	0.2234514113	1.778503545
+-5	-15	1.82453943246039	0.3463602604	0.2294516741	1.756110260
+0	-15	1.78204537812266	0.5000000000	0.2387727169	1.721323654
+5	-15	1.74046585277348	0.6465601212	0.2511342322	1.675189851
+10	-15	1.69995130215273	0.7854233841	0.2662662347	1.618716449
+15	-15	1.66062099650472	0.9160898584	0.2839101416	1.552868492
+20	-15	1.62257295673039	1.038155731	0.3038181702	1.478570718
+25	-15	1.58588836787628	1.151295898	0.3257530691	1.396708561
+30	-15	1.55063826025894	1.255251505	0.3494865569	1.308133978
+35	-15	1.51688568420288	1.349820053	0.3747984214	1.213668814
+40	-15	1.48469434600336	1.434852664	0.4014740477	1.114114021
+45	-15	1.45412511716754	1.510248467	0.4293047390	1.010248467
+
+-45	-10	2.11267148809517	-0.9824063224	0.4386117690	1.482406322
+-40	-10	2.07179693747397	-0.8197404439	0.4226719699	1.572805415
+-35	-10	2.02889145060545	-0.6517719183	0.4099596138	1.644900769
+-30	-10	1.98464929982388	-0.4809534239	0.4004096738	1.699061170
+-25	-10	1.93968801100293	-0.3094764834	0.3939090710	1.735927921
+-20	-10	1.89454181826452	-0.1392557448	0.3903097430	1.756340724
+-15	-10	1.84966274019980	0.02806813712	0.3894399280	1.761273690
+-10	-10	1.80542588574355	0.1911135312	0.3911135312	1.751782215
+-5	-10	1.76213636301434	0.3487356017	0.3951377063	1.728959984
+0	-10	1.72003766405877	0.5000000000	0.4013185941	1.693906427
+5	-10	1.67931997065332	0.6441553164	0.4094655392	1.647702806
+10	-10	1.64012854494346	0.7806060989	0.4193939011	1.591396267
+15	-10	1.60257267797083	0.9088881140	0.4309265763	1.525991216
+20	-10	1.56673373443833	1.028646837	0.4438947147	1.452445248
+25	-10	1.53267161737893	1.139619168	0.4581379704	1.371667732
+30	-10	1.50042924777945	1.241617780	0.4735045241	1.284519675
+35	-10	1.47003706155019	1.334518478	0.4898507005	1.191815902
+40	-10	1.44151958796782	1.418252009	0.5070400721	1.094330131
+45	-10	1.41489371077207	1.492793908	0.5249436478	0.9927939077
+
+-45	-5	2.06356418940260	-0.9563760206	0.5725836084	1.456376021
+-40	-5	2.01960127928035	-0.7952689533	0.5649488745	1.543641428
+-35	-5	1.97410949863598	-0.6294060404	0.5588843740	1.612958985
+-30	-5	1.92777754042960	-0.4611339276	0.5543547526	1.664732796
+-25	-5	1.88121586269181	-0.2925486388	0.5513019892	1.699626041
+-20	-5	1.83495216235187	-0.1254803856	0.5496513235	1.718493236
+-15	-5	1.78943146349567	0.03850601173	0.5493166115	1.722319012
+-10	-5	1.74502030844336	0.1980989071	0.5502048692	1.712166179
+-5	-5	1.70201340620808	0.3522199732	0.5522199732	1.689133435
+0	-5	1.66064128399369	0.5000000000	0.5552655755	1.654322043
+5	-5	1.62107850985602	0.6407527254	0.5592472746	1.608811013
+10	-5	1.58345210470682	0.7739486289	0.5640741234	1.553639879
+15	-5	1.54784990165424	0.8991901556	0.5696595691	1.489797943
+20	-5	1.51432874654405	1.016189440	0.5759219300	1.418218829
+25	-5	1.48292180999410	1.124748964	0.5827845716	1.339778478
+30	-5	1.45364114076055	1.224743281	0.5901761644	1.255292184
+35	-5	1.42648571187036	1.316105480	0.5980302641	1.165519414
+40	-5	1.40144484748622	1.398815038	0.6062851138	1.071166051
+45	-5	1.37850081970009	1.472887371	0.6148833842	0.9728873706
+
+-45	0	2.01450578875003	-0.9244707040	0.7000000000	1.424470704
+-40	0	1.96762564665030	-0.7647653862	0.7000000000	1.507288693
+-35	0	1.91978712608356	-0.6011446583	0.7000000000	1.572597549
+-30	0	1.87166531766140	-0.4358326588	0.7000000000	1.620909712
+-25	0	1.82385011682352	-0.2707923660	0.7000000000	1.652969563
+-20	0	1.77684514645976	-0.1077168317	0.7000000000	1.669688272
+-15	0	1.73106896264188	0.05196638408	0.7000000000	1.672084218
+-10	0	1.68685995146028	0.2070798434	0.7000000000	1.661232758
+-5	0	1.64448372303031	0.3566737997	0.7000000000	1.638225966
+0	0	1.60414151086640	0.5000000000	0.7000000000	1.604141511
+5	0	1.56597882177089	0.6364840473	0.7000000000	1.560019800
+10	0	1.53009379278212	0.7656979988	0.7000000000	1.506848230
+15	0	1.49654554484712	0.8873344889	0.7000000000	1.445551992
+20	0	1.46536410029107	1.001184040	0.7000000000	1.376991832
+25	0	1.43655529350721	1.107114501	0.7000000000	1.301961249
+30	0	1.41010453948554	1.205052270	0.7000000000	1.221186353
+35	0	1.38598627405443	1.294969068	0.7000000000	1.135333490
+40	0	1.36416399338086	1.376867713	0.7000000000	1.045010247
+45	0	1.34459702727123	1.450773676	0.7000000000	0.9507736759
+
+-45	5	1.96535849897351	-0.8870666125	0.8213526041	1.387066612
+-40	5	1.91581307153095	-0.7287045058	0.8281107881	1.464313009
+-35	5	1.86594892132098	-0.5675263881	0.8333839639	1.524585683
+-30	5	1.81641137214699	-0.4056099885	0.8372314378	1.568562512
+-25	5	1.76775199150693	-0.2447467685	0.8397294218	1.597114599
+-20	5	1.72042871639804	-0.08644276343	0.8409650811	1.611238250
+-15	5	1.67481148031106	0.06806648066	0.8410315366	1.611997840
+-10	5	1.63118967864542	0.2177924267	0.8400237407	1.600478680
+-5	5	1.58978156915806	0.3619646814	0.8380353186	1.577750912
+0	5	1.55074438960347	0.5000000000	0.8351562791	1.544843339
+5	5	1.51418299292607	0.6314713518	0.8314713518	1.502724427
+10	5	1.48015890778142	0.7560781612	0.8270590354	1.452291420
+15	5	1.44870078028814	0.8736196186	0.8219913402	1.394367399
+20	5	1.41981244724759	0.9839716561	0.8163337806	1.329701197
+25	5	1.39347652121490	1.087066026	0.8101453538	1.258967155
+30	5	1.36966074989886	1.182873095	0.8034790450	1.182770896
+35	5	1.34832450421998	1.271388740	0.7963825241	1.101657292
+40	5	1.32941861577697	1.352621097	0.7888984782	1.016114256
+45	5	1.31289283269684	1.426584038	0.7810655991	0.9265840380
+
+-45	10	1.91596991604742	-0.8443859744	0.9370515198	1.344385974
+-40	10	1.86409125056041	-0.6874313404	0.9495248184	1.415125566
+-35	10	1.81259980118278	-0.5289863213	0.9591203912	1.469544764
+-30	10	1.76208941540169	-0.3709486585	0.9659940689	1.508527327
+-25	10	1.71304856357401	-0.2148946219	0.9703262706	1.533096464
+-20	10	1.66586577588536	-0.06209594159	0.9723098510	1.544345907
+-15	10	1.62083956011155	0.08645118572	0.9721404500	1.543385186
+-10	10	1.57819005202582	0.2299908259	0.9700091741	1.531298120
+-5	10	1.53807151755874	0.3679696603	0.9660974602	1.509113688
+0	10	1.50058422729784	0.5000000000	0.9605737165	1.477786981
+5	10	1.46578463165274	0.6258251262	0.9535913078	1.438187774
+10	10	1.43369470160687	0.7452877724	0.9452877724	1.391096084
+15	10	1.40431283277944	0.8583031419	0.9357854137	1.337205530
+20	10	1.37761985080558	0.9648360861	0.9251918862	1.277126650
+25	10	1.35358301956010	1.064881371	0.9136010954	1.211392009
+30	10	1.33216288493861	1.158448696	0.9010950314	1.140466595
+35	10	1.31331505790248	1.245549696	0.8877450893	1.064755312
+40	10	1.29699323824384	1.326188320	0.8736138196	0.9846128990
+45	10	1.28315119173312	1.400353628	0.8587566368	0.9003536281
+
+-45	15	1.86618674845241	-0.7965268809	1.047403331	1.296526881
+-40	15	1.81239106104587	-0.6411901830	1.064415591	1.360017500
+-35	15	1.75974628758609	-0.4858802797	1.077267896	1.407982956
+-30	15	1.70876782210088	-0.3322698476	1.086257780	1.441533662
+-25	15	1.65985284582944	-0.1816717820	1.091701488	1.461849854
+-20	15	1.61329457866760	-0.03507838826	1.093916339	1.470115789
+-15	15	1.56929804648666	0.1067922763	1.093207724	1.467471203
+-10	15	1.52799635864201	0.2434480088	1.089860353	1.454978644
+-5	15	1.48946666845059	0.3745758699	1.084133132	1.433604367
+0	15	1.45374405637949	0.5000000000	1.076256648	1.404208929
+5	15	1.42083235959327	0.6196446127	1.066432359	1.367544181
+10	15	1.39071308088899	0.7335020029	1.054833236	1.324255664
+15	15	1.36335660013574	0.8416064568	1.041606457	1.274892653
+20	15	1.33872672519451	0.9440129831	1.026875412	1.219915645
+25	15	1.31678416648774	1.040779631	1.010742195	1.159705661
+30	15	1.29749188761926	1.131954419	0.9932910664	1.094577161
+35	15	1.28081472590003	1.217563656	0.9745908773	1.024787105
+40	15	1.26672320799823	1.297604954	0.9546987217	0.9505485698
+45	15	1.25519048754067	1.372039312	0.9336622294	0.8720393118
+
+-45	20	1.81585767930665	-0.7434831391	1.152590849	1.243483139
+-40	20	1.76064897806544	-0.5901429495	1.172863496	1.299181776
+-35	20	1.70740084776658	-0.4385004132	1.187835672	1.340317494
+-30	20	1.65651478096075	-0.2899437983	1.197992371	1.368222794
+-25	20	1.60826670792296	-0.1454714835	1.203814173	1.384218063
+-20	20	1.56282989800128	-0.005756099379	1.205756099	1.389553463
+-15	20	1.52029710514555	0.1287907509	1.204234091	1.385371778
+-10	20	1.48070108210237	0.2579579959	1.199617725	1.372688418
+-5	20	1.44403357641693	0.3816816365	1.192227916	1.352385083
+0	20	1.41026033001642	0.5000000000	1.182337440	1.325211226
+5	20	1.37933169094353	0.6130169486	1.170172975	1.291789633
+10	20	1.35119110871385	0.7208717261	1.155918508	1.252625805
+15	20	1.32578532237878	0.8237155240	1.139720732	1.208122783
+20	20	1.30306716448019	0.9216928325	1.121692832	1.158591535
+25	20	1.28299851830967	1.014926382	1.101918932	1.104263189
+30	20	1.26555342808269	1.103505682	1.080458997	1.045302503
+35	20	1.25071823997615	1.187477452	1.057353093	0.9818195533
+40	20	1.23849153376705	1.266838155	1.032625891	0.9138821259
+45	20	1.22888222445786	1.341527584	1.006290992	0.8415275842
+
+-45	25	1.76485135806070	-0.6851734595	1.252655460	1.185173459
+-40	25	1.70882718816048	-0.5343987216	1.274840016	1.232748393
+-35	25	1.65559758425078	-0.3870978488	1.290768448	1.266907025
+-30	25	1.60541155649370	-0.2443054496	1.301152108	1.289174855
+-25	25	1.55839344183514	-0.1066539246	1.306653925	1.300973540
+-20	25	1.51457491874671	0.02553621480	1.307868654	1.303578536
+-15	25	1.47392338282335	0.1521752013	1.305313888	1.298099821
+-10	25	1.43636473049950	0.2733356023	1.299428086	1.285477678
+-5	25	1.40180265677314	0.3891965187	1.290573793	1.266489586
+0	25	1.37013439604367	0.5000000000	1.279043817	1.241763472
+5	25	1.34125988360070	0.6060179646	1.265067367	1.211790880
+10	25	1.31508850982500	0.7075264998	1.248816725	1.176941266
+15	25	1.29154772746601	0.8047867573	1.230415478	1.137479664
+20	25	1.27058409878173	0.8980299247	1.209943904	1.093578230
+25	25	1.25216673402444	0.9874454955	1.187445496	1.045330239
+30	25	1.23628828181533	1.073171472	1.162932575	0.9927621114
+35	25	1.22296440479880	1.155285501	1.136391542	0.9358446823
+40	25	1.21223255917347	1.233796734	1.107788329	0.8745048939
+45	25	1.20415125964333	1.308639270	1.077074684	0.8086392702
+
+-45	30	1.71306644054683	-0.6214652335	1.347478254	1.121465233
+-40	30	1.65692200341166	-0.4740363184	1.370194706	1.160811282
+-35	30	1.60440029955858	-0.3319014382	1.385937373	1.188078381
+-30	30	1.55555809630415	-0.1956667293	1.395666729	1.204930120
+-25	30	1.51034145987398	-0.06555276941	1.400228782	1.212831828
+-20	30	1.46862547043233	0.05849214975	1.400344842	1.213032849
+-15	30	1.43024604503456	0.1767005700	1.396613456	1.206569899
+-10	30	1.39502303933454	0.2894159903	1.389518610	1.194281266
+-5	30	1.36277631314562	0.3970410801	1.379440715	1.176825839
+0	30	1.33334029271497	0.5000000000	1.366670146	1.154706565
+5	30	1.30657032496476	0.5987125092	1.351418041	1.128289143
+10	30	1.28234737650191	0.6935751918	1.333826364	1.097819466
+15	30	1.26058409048242	0.7849482572	1.313978163	1.063441374
+20	30	1.24122491163980	0.8731451983	1.291904119	1.025208007
+25	30	1.22424949225772	0.9584246074	1.267590015	0.9830947431
+30	30	1.20967124815643	1.040981428	1.240981428	0.9370073197
+35	30	1.19753938597374	1.120939012	1.211990069	0.8867928128
+40	30	1.18793784139890	1.198339813	1.180499173	0.8322489806
+45	30	1.18098320031944	1.273134987	1.146369693	0.7731349871
+
+-45	35	1.66045156795093	-0.5522070281	1.436763293	1.052207028
+-40	35	1.60498398694441	-0.4091351217	1.458650394	1.083465047
+-35	35	1.55391838350692	-0.2731409224	1.473140922	1.104159667
+-30	35	1.50708399933099	-0.1443312430	1.481441730	1.116014450
+-25	35	1.46423158745740	-0.02248313856	1.484560635	1.120468706
+-20	35	1.42507475524150	0.09283005954	1.483315323	1.118690217
+-15	35	1.38932124862528	0.2021466627	1.478353352	1.111603788
+-10	35	1.35669304174674	0.3060538065	1.470174741	1.099923521
+-5	35	1.32693692919653	0.4051463278	1.459152714	1.084182435
+0	35	1.29983421729793	0.5000000000	1.445554278	1.064761856
+5	35	1.27520408219914	0.5911556438	1.429555880	1.041913776
+10	35	1.25290543386055	0.6791092253	1.411256038	1.015778893
+15	35	1.23284009685980	0.7643057086	1.390686350	0.9864023334
+20	35	1.21495208179683	0.8471340468	1.367818007	0.9537429552
+25	35	1.19923062546624	0.9279225953	1.342568531	0.9176829671
+30	35	1.18571068717779	1.006932886	1.314805685	0.8780335142
+35	35	1.17447517763193	1.084351683	1.284351683	0.8345406909
+40	35	1.16565496771841	1.160279404	1.250986556	0.7868903523
+45	35	1.15942862111169	1.234715163	1.214453095	0.7347151626
+
+-45	40	1.60702443748216	-0.4772643476	1.520022154	0.9772643476
+-40	40	1.55312494914355	-0.3397998254	1.539799825	1.000834459
+-35	40	1.50430754861118	-0.2110622431	1.552107459	1.015502125
+-30	40	1.46014840099205	-0.09060337560	1.558361208	1.022955054
+-25	40	1.42019684657353	0.02225363467	1.559683070	1.024530387
+-20	40	1.38401378834969	0.1282907008	1.556941328	1.021262906
+-15	40	1.35119293142376	0.2283170387	1.550792162	1.013934615
+-10	40	1.32137438842837	0.3231225515	1.541719181	1.003121858
+-5	40	1.29424809356983	0.4134533813	1.530064523	0.9892323779
+0	40	1.26955560997558	0.5000000000	1.516054616	0.9725360203
+5	40	1.24709020945621	0.5833931619	1.499819869	0.9531882021
+10	40	1.22669489670553	0.6642037755	1.481408080	0.9312458869
+15	40	1.20826350872964	0.7429442906	1.460795219	0.9066804358
+20	40	1.19173982471124	0.8200696256	1.437890848	0.8793840691
+25	40	1.17712004194909	0.8959766725	1.412542190	0.8491747145
+30	40	1.16445547635432	0.9710009850	1.384535496	0.8157976364
+35	40	1.15385574632929	1.045409252	1.353595795	0.7789251364
+40	40	1.14549400472208	1.119387169	1.319387169	0.7381568837
+45	40	1.13961094565829	1.193020667	1.281513386	0.6930206669
+
+-45	45	1.55290165255610	-0.3965681871	1.596568187	0.8965681871
+-40	45	1.50154422665108	-0.2661983862	1.613119679	0.9131196793
+-35	45	1.45578737396331	-0.1459512099	1.622513933	0.9225139329
+-30	45	1.41494878286683	-0.03480037105	1.626301415	0.9263014146
+-25	45	1.37838938282525	0.06836341174	1.625647651	0.9256476507
+-20	45	1.34553884449675	0.1646330957	1.621412997	0.9214129969
+-15	45	1.31590257460957	0.2550358035	1.614218827	0.9142188273
+-10	45	1.28906143503311	0.3405121241	1.604500691	0.9045006912
+-5	45	1.26466797418368	0.4219120826	1.592548980	0.8925489796
+0	45	1.24243961027006	0.5000000000	1.578537474	0.8785374736
+5	45	1.22215480003691	0.5754629080	1.562544986	0.8625449857
+10	45	1.20364781051233	0.6489201581	1.544568185	0.8445681850
+15	45	1.18680712146139	0.7209322016	1.524530201	0.8245302013
+20	45	1.17157503837257	0.7920075443	1.502284134	0.8022841344
+25	45	1.15794904144983	0.8626066624	1.477612497	0.7776124970
+30	45	1.14598752876907	0.9331425724	1.450224942	0.7502249423
+35	45	1.13581561049406	1.003975705	1.419751898	0.7197518982
+40	45	1.12763623849407	1.075403009	1.385738603	0.6857386031
+45	45	1.12174037131858	1.147637105	1.347637105	0.6476371053
 
 
 ### +x patch
-# N_rho = 10
+# N_rho = 19
 # N_sigma = 19
 # ghosted_gfn=-3
 # dpx = drho = dnu
 # dpy = dsigma = dphi
 #
 # dpx	dpy	gridfn	global_x	global_y	global_z
-45	-45	1.77540777533544	1.525032157	-0.3250321570	1.025032157
-45	-40	1.70891947520895	1.539228799	-0.1720165019	1.039228799
-45	-35	1.64833223448056	1.544527161	-0.03138579178	1.044527161
-45	-30	1.59311532865782	1.542938798	0.09785900436	1.042938798
-45	-25	1.54269257883961	1.535984301	0.2169125867	1.035984301
-45	-20	1.49650311439302	1.524791982	0.3270062222	1.024791982
-45	-15	1.45402458487771	1.510178623	0.4293234538	1.010178623
-45	-10	1.41479142787655	1.492722138	0.5249563026	0.9927221385
-45	-5	1.37839439594437	1.472812261	0.6148899554	0.9728122612
-45	0	1.34448805690011	1.450696622	0.7000000000	0.9506966223
-45	5	1.31277999630212	1.426504403	0.7810586320	0.9265044028
-45	10	1.28303492119407	1.400272044	0.8587422513	0.9002720441
-45	15	1.25507110663116	1.371956372	0.9336400058	0.8719563723
-45	20	1.22875856149686	1.341442901	1.006260170	0.8414429009
-45	25	1.20402424018612	1.308553971	1.077034909	0.8085539711
-45	30	1.18085308567513	1.273049807	1.146320514	0.7730498071
-45	35	1.15929389952813	1.234629791	1.214393318	0.7346297912
-45	40	1.13947168187276	1.192935978	1.281442323	0.6929359777
-45	45	1.12159750821946	1.147554623	1.347554623	0.6475546233
-
-50	-45	1.78925414358021	1.588081950	-0.3880819498	0.9130091628
-50	-40	1.71941821133681	1.607993917	-0.2297172867	0.9297172867
-50	-35	1.65504173763561	1.617257175	-0.08231189590	0.9374900833
-50	-30	1.59584403828648	1.618021102	0.05451021601	0.9381310940
-50	-25	1.54144364435823	1.611997859	0.1814668824	0.9330769935
-50	-20	1.49142291390682	1.600520033	0.2994434659	0.9234459535
-50	-15	1.44535812455056	1.584596137	0.4093833409	0.9100842186
-50	-10	1.40285500493144	1.564977899	0.5122156626	0.8936225619
-50	-5	1.36355070919294	1.542202432	0.6088191021	0.8745116761
-50	0	1.32713294652547	1.516642819	0.7000000000	0.8530646144
-50	5	1.29333237873308	1.488532470	0.7864853846	0.8294772308
-50	10	1.26193228402218	1.457996363	0.8689206061	0.8038543945
-50	15	1.23276574242886	1.425066902	0.9478709293	0.7762232961
-50	20	1.20571693978111	1.389697774	1.023823507	0.7465450736
-50	25	1.18072722862796	1.351776940	1.097190110	0.7147257162
-50	30	1.15779259854549	1.311129738	1.168305973	0.6806186639
-50	35	1.13696851528442	1.267525194	1.237426927	0.6440301074
-50	40	1.11837910622066	1.220684030	1.304725704	0.6047257039
-50	45	1.10221818982110	1.170281369	1.370281369	0.5624328496
-
-55	-45	1.80122854647145	1.641415608	-0.4414156079	0.7992278129
-55	-40	1.72875097544195	1.667015542	-0.2792423110	0.8171530798
-55	-35	1.66123145053391	1.680412553	-0.1265337676	0.8265337676
-55	-30	1.59861731444891	1.683796008	0.01653505593	0.8289028887
-55	-25	1.54072237266483	1.679001477	0.1502225824	0.8255457216
-55	-20	1.48728004553726	1.667521655	0.2750568696	0.8175074641
-55	-15	1.43798339067860	1.650538643	0.3917140998	0.8056158308
-55	-10	1.39252410143471	1.628973147	0.5009315737	0.7905155079
-55	-5	1.35060037567433	1.603516808	0.6034547893	0.7726907872
-55	0	1.31194442997119	1.574681962	0.7000000000	0.7525004108
-55	5	1.27631675717336	1.542822895	0.7912351813	0.7301924518
-55	10	1.24352170788021	1.508171144	0.8777677738	0.7059290345
-55	15	1.21340585889109	1.470852890	0.9601392478	0.6797985119
-55	20	1.18586100691373	1.430906328	1.038822194	0.6518276282
-55	25	1.16083112334109	1.388298653	1.114220465	0.6219934132
-55	30	1.13830786141053	1.342931132	1.186666516	0.5902267329
-55	35	1.11833464424661	1.294649205	1.256419364	0.5564193638
-55	40	1.10101335775645	1.243253204	1.323663489	0.5204314959
-55	45	1.08650008861782	1.188501280	1.388501280	0.4820937860
-
-60	-45	1.81137698278169	1.685824591	-0.4858245908	0.6846361467
-60	-40	1.73685092060822	1.716808117	-0.3210232424	0.7025244940
-60	-35	1.66677284660155	1.734266028	-0.1642423768	0.7126038234
-60	-30	1.60128613821247	1.740350909	-0.01611693129	0.7161169313
-60	-25	1.54038488675777	1.736957249	0.1231973618	0.7141576009
-60	-20	1.48395151534723	1.725691622	0.2538847333	0.7076533877
-60	-15	1.43180339001360	1.707883691	0.3763485405	0.6973719740
-60	-10	1.38372671399489	1.684610465	0.4911212134	0.6839351708
-60	-5	1.33949066482946	1.656717511	0.5988003309	0.6678311666
-60	0	1.29887808759091	1.624861420	0.7000000000	0.6494390438
-60	5	1.26168335464489	1.589526988	0.7953212601	0.6290387001
-60	10	1.22773273843891	1.551063794	0.8853309054	0.6068319645
-60	15	1.19688236610095	1.509701960	0.9705488249	0.5829516986
-60	20	1.16902491494818	1.465573355	1.051439960	0.5574740366
-60	25	1.14409728033954	1.418731050	1.128411325	0.5304296192
-60	30	1.12207507288839	1.369155614	1.201807228	0.5018072278
-60	35	1.10297802013762	1.316768945	1.271907772	0.4715617703
-60	40	1.08687215760819	1.261444087	1.338927453	0.4396199487
-60	45	1.07386435406413	1.203009241	1.403009241	0.4058825747
-
-65	-45	1.81977783472172	1.722058947	-0.5220589468	0.5698554456
-65	-40	1.74369087372184	1.757899065	-0.3555026413	0.5865679671
-65	-35	1.67157357578393	1.779132275	-0.1956580616	0.5964691758
-65	-30	1.60372982241161	1.787824392	-0.04352575929	0.6005223763
-65	-25	1.54030809576998	1.785875583	0.1003863682	0.5996136318
-65	-20	1.48133007430958	1.774965052	0.2359506714	0.5945259676
-65	-15	1.42673464723794	1.756540205	0.3633110667	0.5859343206
-65	-10	1.37640301558783	1.731814813	0.4827978132	0.5744046808
-65	-5	1.33017842776649	1.701779094	0.5948579532	0.5603987949
-65	0	1.28789676700390	1.667230869	0.7000000000	0.5442886930
-65	5	1.24938744324196	1.628786694	0.7987560392	0.5263618797
-65	10	1.21449728499683	1.586916934	0.8916527813	0.5068376903
-65	15	1.18308959086868	1.541959442	0.9791921911	0.4858736675
-65	20	1.15505308524102	1.494141915	1.061838066	0.4635759882
-65	25	1.13031031386049	1.443602412	1.140009031	0.4400090308
-65	30	1.10881291347860	1.390397058	1.214070981	0.4151989670
-65	35	1.09054930659500	1.334517150	1.284335199	0.3891417378
-65	40	1.07554293432529	1.275896962	1.351054854	0.3618066952
-65	45	1.06384882202011	1.214420160	1.414420160	0.3331395915
-
-70	-45	1.82651027264031	1.750777940	-0.5507779400	0.4552459398
-70	-40	1.74926243154365	1.790779651	-0.3830927290	0.4698053719
-70	-35	1.67556664919864	1.815327503	-0.2210022326	0.4787400593
-70	-30	1.60585006976088	1.826375529	-0.06578326874	0.4827612120
-70	-25	1.54038620655128	1.825794037	0.08177208728	0.4825495663
-70	-20	1.47931875837012	1.815301496	0.2212694063	0.4787305937
-70	-15	1.42269751844168	1.796434088	0.3526215331	0.4718634186
-70	-10	1.37049260179141	1.770519312	0.4759731657	0.4624312118
-70	-5	1.32261833158575	1.738675701	0.5916299184	0.4508410851
-70	0	1.27896177856341	1.701830946	0.7000000000	0.4374306908
-70	5	1.23938583137462	1.660725719	0.8015503419	0.4224696118
-70	10	1.20375530752380	1.615944999	0.8967712124	0.4061707629
-70	15	1.17193733846735	1.567928702	0.9861506333	0.3886942599
-70	20	1.14381329912313	1.516994705	1.070155801	0.3701558009
-70	25	1.11928733104501	1.463358710	1.149221544	0.3506338955
-70	30	1.09828405503326	1.407143900	1.223739775	0.3301733777
-70	35	1.08075823640801	1.348400171	1.294056195	0.3087924091
-70	40	1.06669171321815	1.287111146	1.360464672	0.2864850282
-70	45	1.05609167896995	1.223202160	1.423202160	0.2632240596
-
-75	-45	1.83165602262442	1.772536777	-0.5725367769	0.3409752017
-75	-40	1.75357639813832	1.815883002	-0.4041569415	0.3525897877
-75	-35	1.67871028247821	1.843145590	-0.2404806673	0.3598947763
-75	-30	1.60757333003093	1.856164974	-0.08298221272	0.3633833095
-75	-25	1.54053588434350	1.856766152	0.06732955323	0.3635443946
-75	-20	1.47784068681345	1.846683338	0.2098473501	0.3608427128
-75	-15	1.41963033364584	1.827514960	0.3442934386	0.3557065614
-75	-10	1.36595057824638	1.800676476	0.4706556441	0.3485152114
-75	-5	1.31677861114281	1.767392958	0.5891174839	0.3395969196
-75	0	1.27204637593812	1.728702447	0.7000000000	0.3292298283
-75	5	1.23164588078314	1.685453123	0.8037137094	0.3176412069
-75	10	1.19545664931319	1.638329869	0.9007182688	0.3050145690
-75	15	1.16334716577706	1.587861205	0.9914915315	0.2914915315
-75	20	1.13519077479052	1.534443371	1.076506596	0.2771782658
-75	25	1.11087305770219	1.478357582	1.156215633	0.2621501241
-75	30	1.09029271398656	1.419781861	1.231036305	0.2464548070
-75	35	1.07337326547217	1.358812020	1.301346650	0.2301179872
-75	40	1.06005997884923	1.295468568	1.367477382	0.2131451605
-75	45	1.05031958074197	1.229705948	1.429705948	0.1955241194
-
-80	-45	1.83527860194843	1.787766990	-0.5877669899	0.2270680652
-80	-40	1.75664235285903	1.833555695	-0.4189860920	0.2351418494
-80	-35	1.68097168753760	1.862828761	-0.2542629718	0.2403034807
-80	-30	1.60884063865487	1.877330825	-0.09520232275	0.2428605859
-80	-25	1.54068798905528	1.878842000	0.05703541581	0.2431270468
-80	-20	1.47682918526447	1.869098964	0.2016887294	0.2414090866
-80	-15	1.41747668596526	1.849740328	0.3383381692	0.2379956367
-80	-10	1.36273408784280	1.822243886	0.4668527279	0.2331472721
-80	-5	1.31262698125109	1.787913678	0.5873221536	0.2270939302
-80	0	1.26712291840877	1.747872474	0.7000000000	0.2200335857
-80	5	1.22613644630976	1.703051532	0.8052533706	0.2121304442
-80	10	1.18955797515699	1.654213264	0.9035189399	0.2035189399
-80	15	1.15725617552684	1.601954865	0.9952679161	0.1943043742
-80	20	1.12909659453961	1.546732414	1.080979442	0.1845671661
-80	25	1.10494912319663	1.488876573	1.161120719	0.1743656205
-80	30	1.08469096932702	1.428605526	1.236130651	0.1637382087
-80	35	1.06822090609633	1.366048004	1.306413341	0.1527076296
-80	40	1.05545602704726	1.301249835	1.372328441	0.1412819643
-80	45	1.04633244677888	1.234184109	1.434184109	0.1294564673
-
-85	-45	1.83743239279094	1.796781796	-0.5967817963	0.1134537062
-85	-40	1.75847718564789	1.844056504	-0.4277973167	0.1175897072
-85	-35	1.68233621028589	1.874563725	-0.2624798823	0.1202587433
-85	-30	1.60961714988738	1.889985308	-0.1025083916	0.1216079569
-85	-25	1.54079923783248	1.892069119	0.05086750920	0.1217902667
-85	-20	1.47624212824021	1.882549455	0.1967931511	0.1209574041
-85	-15	1.41620154264672	1.863087042	0.3347619278	0.1192546636
-85	-10	1.36081753232712	1.835196928	0.4645687570	0.1168145948
-85	-5	1.31014619167236	1.800231672	0.5862444687	0.1137555313
-85	0	1.26417755199808	1.759366975	0.7000000000	0.1101803335
-85	5	1.22284057856352	1.713586744	0.8061750823	0.1061750823
-85	10	1.18603229011720	1.663702431	0.9051921361	0.1018107704
-85	15	1.15362095520418	1.610354514	0.9975185954	0.09714343249
-85	20	1.12546664652103	1.554036644	1.083637964	0.09221625728
-85	25	1.10142929930605	1.495110639	1.164027712	0.08706089987
-85	30	1.08137179508044	1.433818894	1.239140590	0.08169856704
-85	35	1.06517724907476	1.370309988	1.309397614	0.07614225774
-85	40	1.05274506811776	1.304644420	1.375176836	0.07039726495
-85	45	1.04399233907030	1.236805483	1.436805483	0.06446212695
-
-90	-45	1.83814475036706	1.799764618	-0.5997646178	0.000000000
-90	-40	1.75908560330552	1.847537751	-0.4307184302	0.000000000
-90	-35	1.68278983441928	1.878460733	-0.2652085964	0.000000000
-90	-30	1.60987620307373	1.894193689	-0.1049381015	0.000000000
-90	-25	1.54083724336683	1.896472792	0.04881404258	0.000000000
-90	-20	1.47604735401714	1.887030807	0.1951620724	0.000000000
-90	-15	1.41577698603176	1.867535555	0.3335699524	0.000000000
-90	-10	1.36017864181158	1.839514472	0.4638074575	0.000000000
-90	-5	1.30931883035586	1.804336477	0.5858853448	0.000000000
-90	0	1.26319520878894	1.763195209	0.7000000000	0.000000000
-90	5	1.22174173448250	1.717092638	0.8064818083	0.000000000
-90	10	1.18485762820675	1.666856978	0.9057483679	0.000000000
-90	15	1.15241098084735	1.613143529	0.9982659096	0.000000000
-90	20	1.12425986800019	1.556458702	1.084519521	0.000000000
-90	25	1.10026077812839	1.497174911	1.164990298	0.000000000
-90	30	1.08027153867581	1.435542595	1.240135769	0.000000000
-90	35	1.06416994332118	1.371716985	1.310382804	0.000000000
-90	40	1.05184937946695	1.305763372	1.376115748	0.000000000
-90	45	1.04322047768283	1.237668274	1.437668274	0.000000000
+45	-45	1.77551183125583	1.525092234	-0.3250922337	1.025092234
+45	-40	1.70902042316656	1.539290187	-0.1720680130	1.039290187
+45	-35	1.64843219559336	1.544590505	-0.03143014578	1.044590505
+45	-30	1.59321318017122	1.543002857	0.09782201997	1.043002857
+45	-25	1.54279087431543	1.536050311	0.2168818059	1.036050311
+45	-20	1.49660175559259	1.524859531	0.3269816365	1.024859531
+45	-15	1.45412515305062	1.510248492	0.4293047323	1.010248492
+45	-10	1.41489373335051	1.492793924	0.5249436450	0.9927939235
+45	-5	1.37850083824845	1.472887384	0.6148833830	0.9728873837
+45	0	1.34459703854378	1.450773684	0.7000000000	0.9507736839
+45	5	1.31289283931031	1.426584043	0.7810655995	0.9265840426
+45	10	1.28315119965372	1.400353634	0.8587566378	0.9003536336
+45	15	1.25519049465744	1.372039317	0.9336622307	0.8720393167
+45	20	1.22888224244064	1.341527596	1.006290996	0.8415275965
+45	25	1.20415128692613	1.308639288	1.077074693	0.8086392885
+45	30	1.18098321645213	1.273134998	1.146369699	0.7731349977
+45	35	1.15942863923983	1.234715174	1.214453103	0.7347151741
+45	40	1.13961098279922	1.193020689	1.281513405	0.6930206895
+45	45	1.12174038932128	1.147637116	1.347637116	0.6476371157
+
+50	-45	1.78935800355033	1.588145109	-0.3881451092	0.9130621598
+50	-40	1.71951810608641	1.608058289	-0.2297713014	0.9297713014
+50	-35	1.65513830517069	1.617322364	-0.08235754184	0.9375447835
+50	-30	1.59593851255781	1.618087289	0.05447200289	0.9381866316
+50	-25	1.54153926907655	1.612066843	0.1814347148	0.9331348777
+50	-20	1.49151823908013	1.600590373	0.2994178641	0.9235049761
+50	-15	1.44545683220693	1.584670207	0.4093634939	0.9101463709
+50	-10	1.40295537838989	1.565054097	0.5122022268	0.8936865001
+50	-5	1.36365550017891	1.542282527	0.6088120947	0.8745788837
+50	0	1.32723993163193	1.516724774	0.7000000000	0.8531333831
+50	5	1.29344337273167	1.488617306	0.7864928068	0.8295484166
+50	10	1.26204663942119	1.458083176	0.8689359136	0.8039272392
+50	15	1.23288393560234	1.425155594	0.9478946943	0.7762977176
+50	20	1.20584050748691	1.389788954	1.023856694	0.7466215832
+50	25	1.18085459309471	1.351868821	1.097232955	0.7148028133
+50	30	1.15792378070878	1.311221642	1.168359033	0.6806957805
+50	35	1.13710476023307	1.267617168	1.237491328	0.6441072827
+50	40	1.11851893914314	1.220774139	1.304801314	0.6048013138
+50	45	1.10236155224130	1.170368551	1.370368551	0.5625060037
+
+55	-45	1.80133231502383	1.641481365	-0.4414813647	0.7992738563
+55	-40	1.72884829895198	1.667081242	-0.2792974394	0.8171990831
+55	-35	1.66132363242487	1.680478054	-0.1265796320	0.8265796320
+55	-30	1.59870841387784	1.683863469	0.01649610773	0.8289501249
+55	-25	1.54081340921826	1.679071140	0.1501900977	0.8255945006
+55	-20	1.48737041679557	1.667592597	0.2750310488	0.8175571382
+55	-15	1.43807771724739	1.650614114	0.3916938773	0.8056686763
+55	-10	1.39262051980812	1.629051317	0.5009177902	0.7905702432
+55	-5	1.35070267020376	1.603600388	0.6034474770	0.7727493108
+55	0	1.31204964858952	1.574768152	0.7000000000	0.7525607618
+55	5	1.27642696371537	1.542912940	0.7912430593	0.7302555020
+55	10	1.24363568448150	1.508263549	0.8777840673	0.7059937374
+55	15	1.21352416011102	1.470947543	0.9601646101	0.6798647889
+55	20	1.18598499146501	1.431003656	1.038857619	0.6518957783
+55	25	1.16095882343307	1.388396373	1.114266032	0.6220618371
+55	30	1.13843957941336	1.343028671	1.186722830	0.5902950303
+55	35	1.11847144112014	1.294746408	1.256487426	0.5564874261
+55	40	1.10115358537190	1.243347866	1.323742920	0.5204977793
+55	45	1.08664465916228	1.188592892	1.388592892	0.4821579338
+
+60	-45	1.81148202452034	1.685893357	-0.4858933568	0.6846758488
+60	-40	1.73694655797506	1.716875119	-0.3210794637	0.7025631776
+60	-35	1.66686327059134	1.734332988	-0.1642892627	0.7126424828
+60	-30	1.60137575894034	1.740420329	-0.01615701090	0.7161570109
+60	-25	1.54047237259860	1.737027502	0.1231646024	0.7141981614
+60	-20	1.48403888498567	1.725763786	0.2538584677	0.7076950518
+60	-15	1.43189468729977	1.707960710	0.3763279033	0.6974164411
+60	-10	1.38382025281723	1.684690544	0.4911070934	0.6839814043
+60	-5	1.33959119074200	1.656804321	0.5987927360	0.6678812859
+60	0	1.29898237869515	1.624951739	0.7000000000	0.6494911893
+60	5	1.26179357620795	1.589622170	0.7953295874	0.6290936533
+60	10	1.22784646777013	1.551161158	0.8853480732	0.6068881775
+60	15	1.19700031886233	1.509801466	0.9705754875	0.5830091485
+60	20	1.16914847190135	1.465675409	1.051477105	0.5575329573
+60	25	1.14422470026774	1.418833371	1.128459037	0.5304886940
+60	30	1.12220766278069	1.369258318	1.201866524	0.5018665238
+60	35	1.10311598498611	1.316871110	1.271979309	0.4716207551
+60	40	1.08701350473286	1.261543113	1.339010545	0.4396771210
+60	45	1.07400985038942	1.203104491	1.403104491	0.4059375671
+
+65	-45	1.81988192227184	1.722128846	-0.5221288460	0.5698880402
+65	-40	1.74378508604061	1.757967030	-0.3555596706	0.5865996596
+65	-35	1.67166345379610	1.779201052	-0.1957062198	0.5965012471
+65	-30	1.60381765701697	1.787894925	-0.04356648142	0.6005552662
+65	-25	1.54039192701334	1.785945567	0.1003537342	0.5996462658
+65	-20	1.48141493037859	1.775038087	0.2359240889	0.5945600242
+65	-15	1.42682288135229	1.756617914	0.3632902447	0.5859705567
+65	-10	1.37649330462377	1.731895618	0.4827835652	0.5744423605
+65	-5	1.33027626626696	1.701867488	0.5948502197	0.5604400138
+65	0	1.28799895036099	1.667323478	0.7000000000	0.5443318775
+65	5	1.24949659724920	1.628885311	0.7987646672	0.5264078658
+65	10	1.21461069947481	1.587018435	0.8916706786	0.5068850208
+65	15	1.18320808192373	1.542063799	0.9792201533	0.4859223296
+65	20	1.15517751202200	1.494249008	1.061877044	0.4636259264
+65	25	1.13043880813036	1.443709681	1.140059051	0.4400590513
+65	30	1.10894682189784	1.390504589	1.214133064	0.4152491095
+65	35	1.09068763664433	1.334623004	1.284409319	0.3891910982
+65	40	1.07568423809825	1.275998898	1.351140389	0.3618542290
+65	45	1.06399464655549	1.214518087	1.414518087	0.3331852558
+
+70	-45	1.82661469666405	1.750849449	-0.5508494486	0.4552719668
+70	-40	1.74935675187744	1.790849250	-0.3831511294	0.4698307039
+70	-35	1.67565596591415	1.815397617	-0.2210513269	0.4787655787
+70	-30	1.60593438089864	1.826445167	-0.06582347427	0.4827865582
+70	-25	1.54046565862319	1.825862421	0.08174019950	0.4825744559
+70	-20	1.47940126341163	1.815374854	0.2212427064	0.4787572936
+70	-15	1.42278388051851	1.796512785	0.3526004462	0.4718920622
+70	-10	1.37058195860013	1.770602151	0.4759585590	0.4624613626
+70	-5	1.32271581912025	1.738767001	0.5916219306	0.4508743157
+70	0	1.27906408116319	1.701927079	0.7000000000	0.4374656804
+70	5	1.23949565360794	1.660828571	0.8015593403	0.4225070469
+70	10	1.20386941716485	1.616050785	0.8967898653	0.4062092657
+70	15	1.17205633013333	1.568037133	0.9861796874	0.3887337256
+70	20	1.14393738172845	1.517105030	1.070195956	0.3701959560
+70	25	1.11941531653489	1.463468866	1.149272911	0.3506739889
+70	30	1.09841786453355	1.407254422	1.223803585	0.3302136044
+70	35	1.08089669995800	1.348508866	1.294132304	0.3088319706
+70	40	1.06683380217597	1.287215993	1.360552650	0.2865231895
+70	45	1.05623877591074	1.223302891	1.423302891	0.2632607226
+
+75	-45	1.83175911651390	1.772608401	-0.5726084010	0.3409943933
+75	-40	1.75366954723699	1.815952901	-0.4042155937	0.3526085171
+75	-35	1.67879703294315	1.843215000	-0.2405292684	0.3599133745
+75	-30	1.60765232079454	1.856231611	-0.08302068584	0.3634011650
+75	-25	1.54061000588035	1.856831431	0.06729911284	0.3635618862
+75	-20	1.47791938396560	1.846755051	0.2098212488	0.3608619282
+75	-15	1.41971279588434	1.827592071	0.3442727766	0.3557272234
+75	-10	1.36603699631849	1.800758765	0.4706411344	0.3485372606
+75	-5	1.31687367556579	1.767484457	0.5891094788	0.3396214367
+75	0	1.27214664439103	1.728799299	0.7000000000	0.3292557797
+75	5	1.23175441427667	1.685557586	0.8037228487	0.3176691976
+75	10	1.19557020531700	1.638437998	0.9007373349	0.3050435422
+75	15	1.16346667156114	1.587972957	0.9915214752	0.2915214752
+75	20	1.13531547261871	1.534557002	1.076547954	0.2772087131
+75	25	1.11100190695354	1.478471061	1.156268549	0.2621805307
+75	30	1.09042760876746	1.419895660	1.231102007	0.2464852992
+75	35	1.07351259187563	1.358923496	1.301424706	0.2301478570
+75	40	1.06020282544477	1.295575760	1.367567327	0.2131738825
+75	45	1.05046733685127	1.229808601	1.429808601	0.1955516252
+
+80	-45	1.83538337928742	1.787840509	-0.5878405094	0.2270810287
+80	-40	1.75673722575866	1.833627718	-0.4190465263	0.2351545489
+80	-35	1.68105801916618	1.862898753	-0.2543119810	0.2403158222
+80	-30	1.60891672802726	1.877395966	-0.09523993147	0.2428720718
+80	-25	1.54075969259887	1.878906172	0.05700549227	0.2431383619
+80	-20	1.47690686778457	1.869170980	0.2016625178	0.2414217849
+80	-15	1.41755812845671	1.849817878	0.3383173896	0.2380093110
+80	-10	1.36282028908477	1.822327526	0.4668379799	0.2331620201
+80	-5	1.31272258970684	1.788007486	0.5873139464	0.2271104712
+80	0	1.26722411409014	1.747972132	0.7000000000	0.2200511581
+80	5	1.22624608454243	1.703159106	0.8052627822	0.2121494124
+80	10	1.18967245108223	1.654324338	0.9035385254	0.2035385254
+80	15	1.15737655012940	1.602069487	0.9952986290	0.1943245852
+80	20	1.12922152346280	1.546848229	1.081021595	0.1845875876
+80	25	1.10507781357590	1.488991745	1.161174425	0.1743859284
+80	30	1.08482568619290	1.428720858	1.236197237	0.1637585447
+80	35	1.06835990564633	1.366160696	1.306492249	0.1527275003
+80	40	1.05559855495192	1.301358035	1.372419232	0.1413010429
+80	45	1.04648012790423	1.234287733	1.434287733	0.1294747390
+
+85	-45	1.83753661410020	1.796855351	-0.5968553513	0.1134601415
+85	-40	1.75857116851288	1.844128338	-0.4278575925	0.1175959919
+85	-35	1.68242000879478	1.874632194	-0.2625278242	0.1202647335
+85	-30	1.60968898949951	1.890047345	-0.1025442087	0.1216133844
+85	-25	1.54086707907724	1.892130412	0.05083892796	0.1217956292
+85	-20	1.47631692430243	1.882619504	0.1967676553	0.1209635325
+85	-15	1.41628024104354	1.863162789	0.3347416315	0.1192612906
+85	-10	1.36090155282845	1.835279367	0.4645542209	0.1168218072
+85	-5	1.31024018186938	1.800324951	0.5862363079	0.1137636921
+85	0	1.26427763332028	1.759466675	0.7000000000	0.1101890562
+85	5	1.22294941406480	1.713694756	0.8061845321	0.1061845321
+85	10	1.18614610366657	1.663814102	0.9052118266	0.1018205403
+85	15	1.15374107825137	1.610470132	0.9975495751	0.09715354774
+85	20	1.12559157604455	1.554153645	1.083680549	0.09222649351
+85	25	1.10155809549112	1.495227003	1.164081973	0.08707108038
+85	30	1.08150697891518	1.433935632	1.239207989	0.08170878030
+85	35	1.06531674736956	1.370423966	1.309477423	0.07615222952
+85	40	1.05288799198031	1.304753661	1.375268500	0.07040682230
+85	45	1.04414048839799	1.236910040	1.436910040	0.06447127454
+
+90	-45	1.83825008589850	1.799839101	-0.5998391013	0.000000000
+90	-40	1.75918061242121	1.847610533	-0.4307795009	0.000000000
+90	-35	1.68287415719257	1.878529806	-0.2652569619	0.000000000
+90	-30	1.60994797301426	1.894255843	-0.1049739865	0.000000000
+90	-25	1.54090514522790	1.896534332	0.04878534602	0.000000000
+90	-20	1.47612254205234	1.887101460	0.1951363566	0.000000000
+90	-15	1.41585610334991	1.867611977	0.3335494753	0.000000000
+90	-10	1.36026318929826	1.839597735	0.4637927760	0.000000000
+90	-5	1.30941341660982	1.804430703	0.5858771011	0.000000000
+90	0	1.26329598215070	1.763295982	0.7000000000	0.000000000
+90	5	1.22185127394408	1.717201761	0.8064913553	0.000000000
+90	10	1.18497209970308	1.666969711	0.9057682457	0.000000000
+90	15	1.15253178863405	1.613260220	0.9982971770	0.000000000
+90	20	1.12438547490992	1.556576734	1.084562481	0.000000000
+90	25	1.10039016078305	1.497292171	1.165044977	0.000000000
+90	30	1.08040736286358	1.435660223	1.240203681	0.000000000
+90	35	1.06431002145314	1.371831730	1.310463149	0.000000000
+90	40	1.05199276361713	1.305873211	1.376207914	0.000000000
+90	45	1.04336904451150	1.237773327	1.437773327	0.000000000
+
+95	-45	1.83753661410020	1.796855351	-0.5968553513	-0.1134601415
+95	-40	1.75857116851288	1.844128338	-0.4278575925	-0.1175959919
+95	-35	1.68242000879478	1.874632194	-0.2625278242	-0.1202647335
+95	-30	1.60968898949951	1.890047345	-0.1025442087	-0.1216133844
+95	-25	1.54086707907724	1.892130412	0.05083892796	-0.1217956292
+95	-20	1.47631692430244	1.882619504	0.1967676553	-0.1209635325
+95	-15	1.41628024104354	1.863162789	0.3347416315	-0.1192612906
+95	-10	1.36090155282845	1.835279367	0.4645542209	-0.1168218072
+95	-5	1.31024018186938	1.800324951	0.5862363079	-0.1137636921
+95	0	1.26427763332028	1.759466675	0.7000000000	-0.1101890562
+95	5	1.22294941406480	1.713694756	0.8061845321	-0.1061845321
+95	10	1.18614610366657	1.663814102	0.9052118266	-0.1018205403
+95	15	1.15374107825137	1.610470132	0.9975495751	-0.09715354774
+95	20	1.12559157604455	1.554153645	1.083680549	-0.09222649351
+95	25	1.10155809549112	1.495227003	1.164081973	-0.08707108038
+95	30	1.08150697891518	1.433935632	1.239207989	-0.08170878030
+95	35	1.06531674736956	1.370423966	1.309477423	-0.07615222952
+95	40	1.05288799198031	1.304753661	1.375268500	-0.07040682230
+95	45	1.04414048839800	1.236910040	1.436910040	-0.06447127454
+
+100	-45	1.83538337928742	1.787840509	-0.5878405094	-0.2270810287
+100	-40	1.75673722575866	1.833627718	-0.4190465263	-0.2351545489
+100	-35	1.68105801916618	1.862898753	-0.2543119810	-0.2403158222
+100	-30	1.60891672802726	1.877395966	-0.09523993147	-0.2428720718
+100	-25	1.54075969259887	1.878906172	0.05700549227	-0.2431383619
+100	-20	1.47690686778457	1.869170980	0.2016625178	-0.2414217849
+100	-15	1.41755812845671	1.849817878	0.3383173896	-0.2380093110
+100	-10	1.36282028908477	1.822327526	0.4668379799	-0.2331620201
+100	-5	1.31272258970684	1.788007486	0.5873139464	-0.2271104712
+100	0	1.26722411409014	1.747972132	0.7000000000	-0.2200511581
+100	5	1.22624608454243	1.703159106	0.8052627822	-0.2121494124
+100	10	1.18967245108223	1.654324338	0.9035385254	-0.2035385254
+100	15	1.15737655012940	1.602069487	0.9952986290	-0.1943245852
+100	20	1.12922152346280	1.546848229	1.081021595	-0.1845875876
+100	25	1.10507781357590	1.488991745	1.161174425	-0.1743859284
+100	30	1.08482568619290	1.428720858	1.236197237	-0.1637585447
+100	35	1.06835990564633	1.366160696	1.306492249	-0.1527275003
+100	40	1.05559855495192	1.301358035	1.372419232	-0.1413010429
+100	45	1.04648012790423	1.234287733	1.434287733	-0.1294747390
+
+105	-45	1.83175911651390	1.772608401	-0.5726084010	-0.3409943933
+105	-40	1.75366954723699	1.815952901	-0.4042155937	-0.3526085171
+105	-35	1.67879703294315	1.843215000	-0.2405292684	-0.3599133745
+105	-30	1.60765232079454	1.856231611	-0.08302068584	-0.3634011650
+105	-25	1.54061000588035	1.856831431	0.06729911284	-0.3635618862
+105	-20	1.47791938396560	1.846755051	0.2098212488	-0.3608619282
+105	-15	1.41971279588434	1.827592071	0.3442727766	-0.3557272234
+105	-10	1.36603699631849	1.800758765	0.4706411344	-0.3485372606
+105	-5	1.31687367556579	1.767484457	0.5891094788	-0.3396214367
+105	0	1.27214664439103	1.728799299	0.7000000000	-0.3292557797
+105	5	1.23175441427667	1.685557586	0.8037228487	-0.3176691976
+105	10	1.19557020531700	1.638437998	0.9007373349	-0.3050435422
+105	15	1.16346667156114	1.587972957	0.9915214752	-0.2915214752
+105	20	1.13531547261871	1.534557002	1.076547954	-0.2772087131
+105	25	1.11100190695354	1.478471061	1.156268549	-0.2621805307
+105	30	1.09042760876746	1.419895660	1.231102007	-0.2464852992
+105	35	1.07351259187563	1.358923496	1.301424706	-0.2301478570
+105	40	1.06020282544477	1.295575760	1.367567327	-0.2131738825
+105	45	1.05046733685127	1.229808601	1.429808601	-0.1955516252
+
+110	-45	1.82661469666405	1.750849449	-0.5508494486	-0.4552719668
+110	-40	1.74935675187744	1.790849250	-0.3831511294	-0.4698307039
+110	-35	1.67565596591415	1.815397617	-0.2210513269	-0.4787655787
+110	-30	1.60593438089864	1.826445167	-0.06582347427	-0.4827865582
+110	-25	1.54046565862319	1.825862421	0.08174019950	-0.4825744559
+110	-20	1.47940126341163	1.815374854	0.2212427064	-0.4787572936
+110	-15	1.42278388051851	1.796512785	0.3526004462	-0.4718920622
+110	-10	1.37058195860013	1.770602151	0.4759585590	-0.4624613626
+110	-5	1.32271581912025	1.738767001	0.5916219306	-0.4508743157
+110	0	1.27906408116319	1.701927079	0.7000000000	-0.4374656804
+110	5	1.23949565360794	1.660828571	0.8015593403	-0.4225070469
+110	10	1.20386941716485	1.616050785	0.8967898653	-0.4062092657
+110	15	1.17205633013333	1.568037133	0.9861796874	-0.3887337256
+110	20	1.14393738172845	1.517105030	1.070195956	-0.3701959560
+110	25	1.11941531653489	1.463468866	1.149272911	-0.3506739889
+110	30	1.09841786453355	1.407254422	1.223803585	-0.3302136044
+110	35	1.08089669995800	1.348508866	1.294132304	-0.3088319706
+110	40	1.06683380217597	1.287215993	1.360552650	-0.2865231895
+110	45	1.05623877591074	1.223302891	1.423302891	-0.2632607226
+
+115	-45	1.81988192227184	1.722128846	-0.5221288460	-0.5698880402
+115	-40	1.74378508604062	1.757967030	-0.3555596706	-0.5865996596
+115	-35	1.67166345379610	1.779201052	-0.1957062198	-0.5965012471
+115	-30	1.60381765701697	1.787894925	-0.04356648142	-0.6005552662
+115	-25	1.54039192701334	1.785945567	0.1003537342	-0.5996462658
+115	-20	1.48141493037859	1.775038087	0.2359240889	-0.5945600242
+115	-15	1.42682288135229	1.756617914	0.3632902447	-0.5859705567
+115	-10	1.37649330462377	1.731895618	0.4827835652	-0.5744423605
+115	-5	1.33027626626696	1.701867488	0.5948502197	-0.5604400138
+115	0	1.28799895036099	1.667323478	0.7000000000	-0.5443318775
+115	5	1.24949659724920	1.628885311	0.7987646672	-0.5264078658
+115	10	1.21461069947480	1.587018435	0.8916706786	-0.5068850208
+115	15	1.18320808192373	1.542063799	0.9792201533	-0.4859223296
+115	20	1.15517751202200	1.494249008	1.061877044	-0.4636259264
+115	25	1.13043880813036	1.443709681	1.140059051	-0.4400590513
+115	30	1.10894682189784	1.390504589	1.214133064	-0.4152491095
+115	35	1.09068763664433	1.334623004	1.284409319	-0.3891910982
+115	40	1.07568423809825	1.275998898	1.351140389	-0.3618542290
+115	45	1.06399464655549	1.214518087	1.414518087	-0.3331852558
+
+120	-45	1.81148202452034	1.685893357	-0.4858933568	-0.6846758488
+120	-40	1.73694655797506	1.716875119	-0.3210794637	-0.7025631776
+120	-35	1.66686327059134	1.734332988	-0.1642892627	-0.7126424828
+120	-30	1.60137575894034	1.740420329	-0.01615701090	-0.7161570109
+120	-25	1.54047237259860	1.737027502	0.1231646024	-0.7141981614
+120	-20	1.48403888498567	1.725763786	0.2538584677	-0.7076950518
+120	-15	1.43189468729977	1.707960710	0.3763279033	-0.6974164411
+120	-10	1.38382025281723	1.684690544	0.4911070934	-0.6839814043
+120	-5	1.33959119074200	1.656804321	0.5987927360	-0.6678812859
+120	0	1.29898237869515	1.624951739	0.7000000000	-0.6494911893
+120	5	1.26179357620795	1.589622170	0.7953295874	-0.6290936533
+120	10	1.22784646777013	1.551161158	0.8853480732	-0.6068881775
+120	15	1.19700031886233	1.509801466	0.9705754875	-0.5830091485
+120	20	1.16914847190134	1.465675409	1.051477105	-0.5575329573
+120	25	1.14422470026774	1.418833371	1.128459037	-0.5304886940
+120	30	1.12220766278069	1.369258318	1.201866524	-0.5018665238
+120	35	1.10311598498611	1.316871110	1.271979309	-0.4716207551
+120	40	1.08701350473286	1.261543113	1.339010545	-0.4396771210
+120	45	1.07400985038942	1.203104491	1.403104491	-0.4059375671
+
+125	-45	1.80133231502383	1.641481365	-0.4414813647	-0.7992738563
+125	-40	1.72884829895198	1.667081242	-0.2792974394	-0.8171990831
+125	-35	1.66132363242487	1.680478054	-0.1265796320	-0.8265796320
+125	-30	1.59870841387784	1.683863469	0.01649610773	-0.8289501249
+125	-25	1.54081340921826	1.679071140	0.1501900977	-0.8255945006
+125	-20	1.48737041679557	1.667592597	0.2750310488	-0.8175571382
+125	-15	1.43807771724739	1.650614114	0.3916938773	-0.8056686763
+125	-10	1.39262051980812	1.629051317	0.5009177902	-0.7905702432
+125	-5	1.35070267020376	1.603600388	0.6034474770	-0.7727493108
+125	0	1.31204964858952	1.574768152	0.7000000000	-0.7525607618
+125	5	1.27642696371537	1.542912940	0.7912430593	-0.7302555020
+125	10	1.24363568448150	1.508263549	0.8777840673	-0.7059937374
+125	15	1.21352416011102	1.470947543	0.9601646101	-0.6798647889
+125	20	1.18598499146501	1.431003656	1.038857619	-0.6518957783
+125	25	1.16095882343307	1.388396373	1.114266032	-0.6220618371
+125	30	1.13843957941336	1.343028671	1.186722830	-0.5902950303
+125	35	1.11847144112014	1.294746408	1.256487426	-0.5564874261
+125	40	1.10115358537190	1.243347866	1.323742920	-0.5204977793
+125	45	1.08664465916228	1.188592892	1.388592892	-0.4821579338
+
+130	-45	1.78935800355033	1.588145109	-0.3881451092	-0.9130621598
+130	-40	1.71951810608642	1.608058289	-0.2297713014	-0.9297713014
+130	-35	1.65513830517069	1.617322364	-0.08235754184	-0.9375447835
+130	-30	1.59593851255781	1.618087289	0.05447200289	-0.9381866316
+130	-25	1.54153926907655	1.612066843	0.1814347148	-0.9331348777
+130	-20	1.49151823908013	1.600590373	0.2994178641	-0.9235049761
+130	-15	1.44545683220693	1.584670207	0.4093634939	-0.9101463709
+130	-10	1.40295537838989	1.565054097	0.5122022268	-0.8936865001
+130	-5	1.36365550017891	1.542282527	0.6088120947	-0.8745788837
+130	0	1.32723993163193	1.516724774	0.7000000000	-0.8531333831
+130	5	1.29344337273167	1.488617306	0.7864928068	-0.8295484166
+130	10	1.26204663942119	1.458083176	0.8689359136	-0.8039272392
+130	15	1.23288393560234	1.425155594	0.9478946943	-0.7762977176
+130	20	1.20584050748691	1.389788954	1.023856694	-0.7466215832
+130	25	1.18085459309471	1.351868821	1.097232955	-0.7148028133
+130	30	1.15792378070878	1.311221642	1.168359033	-0.6806957805
+130	35	1.13710476023307	1.267617168	1.237491328	-0.6441072827
+130	40	1.11851893914314	1.220774139	1.304801314	-0.6048013138
+130	45	1.10236155224130	1.170368551	1.370368551	-0.5625060037
+
+135	-45	1.77551183125583	1.525092234	-0.3250922337	-1.025092234
+135	-40	1.70902042316657	1.539290187	-0.1720680130	-1.039290187
+135	-35	1.64843219559336	1.544590505	-0.03143014578	-1.044590505
+135	-30	1.59321318017122	1.543002857	0.09782201997	-1.043002857
+135	-25	1.54279087431543	1.536050311	0.2168818059	-1.036050311
+135	-20	1.49660175559259	1.524859531	0.3269816365	-1.024859531
+135	-15	1.45412515305062	1.510248492	0.4293047323	-1.010248492
+135	-10	1.41489373335051	1.492793924	0.5249436450	-0.9927939235
+135	-5	1.37850083824845	1.472887384	0.6148833830	-0.9728873837
+135	0	1.34459703854378	1.450773684	0.7000000000	-0.9507736839
+135	5	1.31289283931031	1.426584043	0.7810655995	-0.9265840426
+135	10	1.28315119965372	1.400353634	0.8587566378	-0.9003536336
+135	15	1.25519049465744	1.372039317	0.9336622307	-0.8720393167
+135	20	1.22888224244064	1.341527596	1.006290996	-0.8415275965
+135	25	1.20415128692613	1.308639288	1.077074693	-0.8086392885
+135	30	1.18098321645212	1.273134998	1.146369699	-0.7731349977
+135	35	1.15942863923983	1.234715174	1.214453103	-0.7347151741
+135	40	1.13961098279922	1.193020689	1.281513405	-0.6930206895
+135	45	1.12174038932128	1.147637116	1.347637116	-0.6476371157
 
 
 ### +y patch
-# N_rho = 10
+# N_rho = 19
 # 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	1.12159755046146	1.147554648	1.347554648	0.6475546477
-40	45	1.12749077100989	1.075328781	1.385650141	0.6856501414
-35	45	1.13566714928085	1.003909831	1.419657820	0.7196578203
-30	45	1.14583566401652	0.9330851729	1.450125523	0.7501255235
-25	45	1.15779487379975	0.8625583855	1.477508967	0.7775089668
-20	45	1.17141882088386	0.7919686081	1.502177158	0.8021771580
-15	45	1.18664824008004	0.7209026247	1.524419819	0.8244198190
-10	45	1.20348643582064	0.6489001921	1.544454953	0.8444549526
-5	45	1.22199123497795	0.5754528086	1.562429548	0.8624295484
-0	45	1.24227317345081	0.5000000000	1.578419785	0.8784197850
--5	45	1.26449879459096	0.4219225288	1.592429580	0.8924295799
--10	45	1.28888949375792	0.3405333973	1.604380044	0.9043800445
--15	45	1.31572662787809	0.2550685572	1.614096589	0.9140965889
--20	45	1.34535951997180	0.1646777912	1.621290197	0.9212901970
--25	45	1.37820569123561	0.06842093396	1.625524294	0.9255242939
--30	45	1.41476116804538	-0.03472945931	1.626178592	0.9261785918
--35	45	1.45559537153022	-0.1458660160	1.622392263	0.9223922634
--40	45	1.50134778160089	-0.2660981454	1.613000217	0.9130002171
--45	45	1.55269896035689	-0.3964511627	1.596451163	0.8964511627
-
-45	50	1.10221826222884	1.170281413	1.370281413	0.5624328866
-40	50	1.10597747629822	1.098019942	1.412692414	0.5980199417
-35	50	1.11240993272662	1.025818476	1.450946608	0.6301190216
-30	50	1.12124502529397	0.9535231463	1.485525132	0.6591338483
-25	50	1.13228680465001	0.8808950194	1.516832005	0.6854034342
-20	50	1.14540729196591	0.8076259394	1.545195322	0.7092030832
-15	50	1.16054074123047	0.7333487232	1.570869291	0.7307461007
-10	50	1.17768255234096	0.6576430472	1.594038147	0.7501870798
-5	50	1.19688325881795	0.5800358135	1.614813534	0.7676196989
-0	50	1.21824677125558	0.5000000000	1.633231169	0.7830739301
--5	50	1.24193399423196	0.4169516352	1.649247153	0.7965129361
--10	50	1.26815939623001	0.3302458408	1.662723677	0.8078210824
--15	50	1.29719500065637	0.2391743466	1.673414590	0.8167918238
--20	50	1.32937375312335	0.1429655612	1.680944059	0.8231097977
--25	50	1.36508473082241	0.04079304563	1.684772492	0.8263222345
--30	50	1.40477827913943	-0.06820717201	1.684163691	0.8258113903
--35	50	1.44894874661638	-0.1848950182	1.678131455	0.8207497432
--40	50	1.49812543454621	-0.3100606967	1.665392745	0.8100606967
--45	50	1.55282791845561	-0.4443063386	1.644306339	0.7923671005
-
-45	55	1.08650012840104	1.188501305	1.388501305	0.4820938037
-40	55	1.08827624675033	1.116448616	1.434654853	0.5144108662
-35	55	1.09302415873761	1.043826314	1.476664466	0.5438263137
-30	55	1.10051027663189	0.9705067234	1.514941550	0.5706282167
-25	55	1.11056172947734	0.8962827895	1.549831185	0.5950582017
-20	55	1.12306444761315	0.8208800679	1.581610741	0.6173104866
-15	55	1.13795978962371	0.7439645412	1.610488063	0.6375306052
-10	55	1.15524536281169	0.6651482198	1.636602096	0.6558158482
-5	55	1.17497191885562	0.5839907300	1.660018436	0.6722121460
-0	55	1.19724016499464	0.5000000000	1.680721729	0.6867087473
--5	55	1.22220540645007	0.4126328701	1.698610864	0.6992348548
--10	55	1.25007207900065	0.3212958172	1.713481783	0.7096475842
--15	55	1.28109629599043	0.2253487575	1.725012391	0.7177214031
--20	55	1.31558461080987	0.1241133978	1.732739952	0.7231322993
--25	55	1.35388600524503	0.01689157963	1.736029351	0.7254355613
--30	55	1.39639041684148	-0.09700585595	1.734044475	0.7240457362
--35	55	1.44350567911921	-0.2182058750	1.725704289	0.7182058750
--40	55	1.49564033202298	-0.3471979573	1.709651209	0.7069653877
--45	55	1.55315961384649	-0.4842174821	1.684217482	0.6891565002
-
-45	60	1.07386437560951	1.203009255	1.403009255	0.4058825828
-40	60	1.07386984285104	1.131283926	1.452334887	0.4343607497
-35	60	1.07706666786987	1.058472415	1.497581266	0.4604837588
-30	60	1.08326722885180	0.9844518323	1.539095187	0.4844518323
-25	60	1.09233239652813	0.9090277784	1.577162901	0.5064302373
-20	60	1.10417268206353	0.8319436555	1.612007698	0.5265478899
-15	60	1.11874634057404	0.7528865963	1.643785626	0.5448948853
-10	60	1.13606188267148	0.6714928426	1.672584240	0.5615217730
-5	60	1.15617582302482	0.5873500755	1.698415932	0.5764357072
-0	60	1.17918930133015	0.5000000000	1.721207891	0.5895946507
--5	60	1.20525300048680	0.4089421016	1.740796541	0.6009041634
--10	60	1.23455943939750	0.3136385783	1.756908143	0.6102062008
--15	60	1.26734466328235	0.2135235516	1.769144660	0.6172709575
--20	60	1.30388211364594	0.1080183814	1.776960646	0.6217835188
--25	60	1.34447340131871	-0.003442880779	1.779636742	0.6233285636
--30	60	1.38943967984029	-0.1213763150	1.776255348	0.6213763150
--35	60	1.43909884601030	-0.2461905860	1.765670598	0.6152652066
--40	60	1.49373963155500	-0.3781081115	1.746488497	0.6041904152
--45	60	1.55358730152999	-0.5170616297	1.717061630	0.5872008057
-
-45	65	1.06384883816171	1.214420170	1.414420170	0.3331395966
-40	65	1.06233342358523	1.143058785	1.466367617	0.3573630889
-35	65	1.06416456960477	1.070197800	1.514326852	0.3797268472
-30	65	1.06920207394818	0.9957064917	1.558588829	0.4003665463
-25	65	1.07734511955371	0.9193906541	1.599386160	0.4193906541
-20	65	1.08853453111833	0.8410001100	1.636890102	0.4368790296
-15	65	1.10275241869919	0.7602337697	1.671205650	0.4528806323
-10	65	1.12002341620213	0.6767444074	1.702367344	0.4674115689
-5	65	1.14041433572733	0.5901424162	1.730332532	0.4804519499
-0	65	1.16402973740801	0.5000000000	1.754969215	0.4919402242
--5	65	1.19101683615774	0.4058577817	1.776050479	0.5017705788
--10	65	1.22155550547520	0.3072334018	1.793233704	0.5097832483
--15	65	1.25585937719709	0.2036351820	1.806048558	0.5157589131
--20	65	1.29416544751491	0.09458285668	1.813874447	0.5194081847
--25	65	1.33672517665887	-0.02036254311	1.815921075	0.5203625431
--30	65	1.38378898709940	-0.1415561667	1.811207877	0.5181647427
--35	65	1.43558810468623	-0.2692129606	1.798549957	0.5122622576
--40	65	1.49230154379899	-0.4033299680	1.776546735	0.5020019867
--45	65	1.55403294241438	-0.5435998421	1.743599842	0.4866385984
-
-45	70	1.05609168704337	1.223202166	1.423202166	0.2632240617
-40	70	1.05332360347938	1.152187525	1.477246826	0.2828947094
-35	70	1.05400850322615	1.079352773	1.527401508	0.3011495207
-30	70	1.05804955764996	1.004553111	1.573911624	0.3180778184
-25	70	1.06538278783358	0.9275871690	1.616963643	0.3337474719
-20	70	1.07598091147527	0.8482041836	1.656683132	0.3482041836
-15	70	1.08985147461933	0.7661078194	1.693127902	0.3614689953
-10	70	1.10703793067878	0.6809613585	1.726282863	0.3735364139
-5	70	1.12761985885033	0.5923926829	1.756053198	0.3843719300
-0	70	1.15170724515690	0.5000000000	1.782250800	0.3939070771
--5	70	1.17944514311989	0.4033609596	1.804589287	0.4020376215
--10	70	1.21100143347639	0.3020443035	1.822662542	0.4086157486
--15	70	1.24656721057993	0.1956270740	1.835935224	0.4134466096
--20	70	1.28634343438012	0.08371922711	1.843722024	0.4162807729
--25	70	1.33053324582288	-0.03400425677	1.845175824	0.4168099130
--30	70	1.37932105338583	-0.1577581586	1.839270550	0.4146605689
--35	70	1.43285985325964	-0.2875945278	1.824801555	0.4093942855
--40	70	1.49123445773593	-0.4233292668	1.800380971	0.4005059198
--45	70	1.55444725224493	-0.5644716108	1.764471611	0.3874359815
-
-45	75	1.05031958447146	1.229705950	1.429705950	0.1955241201
-40	75	1.04657502125522	1.158986444	1.485349462	0.2104337541
-35	75	1.04635321812951	1.086208939	1.537193127	0.2243252223
-30	75	1.04959352294218	1.011213419	1.585447616	0.2372549736
-25	75	1.05626416336640	0.9337887400	1.630262955	0.2492632075
-20	75	1.06636676153717	0.8536798645	1.671727442	0.2603735832
-15	75	1.07993265915078	0.7705909585	1.709859205	0.2705909585
-10	75	1.09702366104266	0.6841912797	1.744600656	0.2798999021
-5	75	1.11773225764373	0.5941213382	1.775811819	0.2882629080
-0	75	1.14217455248160	0.5000000000	1.803255898	0.2956165270
--5	75	1.17049433083458	0.4014357043	1.826595056	0.3018702353
--10	75	1.20284836004721	0.2980406562	1.845368355	0.3069005257
--15	75	1.23940790706742	0.1894504757	1.858986603	0.3105495243
--20	75	1.28034195134215	0.07535138542	1.866712480	0.3126196668
--25	75	1.32581110255931	-0.04448683157	1.867655778	0.3128724229
--30	75	1.37594340153180	-0.1701648933	1.860759645	0.3110246094
--35	75	1.43082647812407	-0.3016062420	1.844812357	0.3067515465
--40	75	1.49046965115222	-0.4384891432	1.818447808	0.2996871869
--45	75	1.55479598242322	-0.5801892079	1.780189208	0.2894358259
-
-45	80	1.04633244916645	1.234184111	1.434184111	0.1294564675
-40	80	1.04189088233406	1.163687406	1.490951851	0.1394661517
-35	80	1.04101475300769	1.090968806	1.543990923	0.1488183712
-30	80	1.04367054331805	1.015855468	1.593487880	0.1575460201
-25	80	1.04985114219600	0.9381270627	1.639566518	0.1656709273
-20	80	1.05958096138342	0.8575234973	1.682287736	0.1732038306
-15	80	1.07291059212920	0.7737475776	1.721639868	0.1801426733
-10	80	1.08991706730237	0.6864715892	1.757532934	0.1864715892
-5	80	1.11070384387928	0.5953444649	1.789792221	0.1921597718
-0	80	1.13539268670225	0.5000000000	1.818143521	0.1971588710
--5	80	1.16412631010624	0.4000696714	1.842208883	0.2014022436
--10	80	1.19705324995978	0.2951987095	1.861485835	0.2048012905
--15	80	1.23432907975253	0.1850673318	1.875344719	0.2072449855
--20	80	1.27609770575312	0.06941948633	1.883010239	0.2085966235
--25	80	1.32248651758954	-0.05190408436	1.883562128	0.2086939366
--30	80	1.37358059951351	-0.1789202467	1.875924361	0.2073471922
--35	80	1.42941863020829	-0.3114599908	1.858884968	0.2043426875
--40	80	1.48995513083466	-0.4491055857	1.831099992	0.1994434464
--45	80	1.55505709178890	-0.5911428859	1.791142886	0.1923979306
-
-45	85	1.04399234017328	1.236805483	1.436805483	0.06446212701
-40	85	1.03913306103476	1.166446791	1.494240358	0.06948702742
-35	85	1.03786208722860	1.093770361	1.547991958	0.07418968309
-30	85	1.04016265165753	1.018594907	1.598232728	0.07858518090
-25	85	1.04604299431678	0.9406936853	1.645070658	0.08268296880
-20	85	1.05554204046876	0.8598027545	1.688549944	0.08648691339
-15	85	1.06872285321291	0.7756233932	1.728640507	0.08999438322
-10	85	1.08567247953619	0.6878291654	1.765232131	0.09319573546
-5	85	1.10650162850322	0.5960737675	1.798128188	0.09607376751
-0	85	1.13133600585911	0.5000000000	1.827030931	0.09860242989
--5	85	1.16031753271560	0.3992535808	1.851536840	0.1007464192
--10	85	1.19358958817074	0.2935003969	1.871117445	0.1024595001
--15	85	1.23129787142918	0.1824485447	1.885118165	0.1036844044
--20	85	1.27357039186992	0.06587789258	1.892740687	0.1043512887
--25	85	1.32051329516803	-0.05632691357	1.893046916	0.1043780802
--30	85	1.37218478741661	-0.1841315071	1.884950529	0.1036697382
--35	85	1.42859342591602	-0.3173113222	1.867241536	0.1021204020
--40	85	1.48966047313002	-0.4553920279	1.838591882	0.09961388202
--45	85	1.55521934309424	-0.5976078039	1.797607804	0.09602823984
-
-45	90	1.04322047838534	1.237668275	1.437668275	0.000000000
-40	90	1.03822197745630	1.167356223	1.495324177	0.000000000
-35	90	1.03681893752137	1.094694911	1.549312352	0.000000000
-30	90	1.03900025906404	1.019500130	1.599800619	0.000000000
-25	90	1.04477937768891	0.9415428445	1.646891686	0.000000000
-20	90	1.05420019724670	0.8605577026	1.690624146	0.000000000
-15	90	1.06733009662844	0.7762453564	1.730961706	0.000000000
-10	90	1.08425961424093	0.6882797061	1.767787274	0.000000000
-5	90	1.10510199053558	0.5963159848	1.800896744	0.000000000
-0	90	1.12998433157096	0.5000000000	1.829984332	0.000000000
--5	90	1.15904831168322	0.3989822835	1.854637783	0.000000000
--10	90	1.19243555376053	0.2929357391	1.874319778	0.000000000
--15	90	1.23028838346998	0.1815779354	1.888367323	0.000000000
--20	90	1.27272937399350	0.06470091709	1.895974401	0.000000000
--25	90	1.31985733146921	-0.05779581117	1.896196977	0.000000000
--30	90	1.37172132019182	-0.1858606601	1.887945510	0.000000000
--35	90	1.42831978343949	-0.3192505714	1.870011071	0.000000000
--40	90	1.48956284395122	-0.4574725399	1.841071339	0.000000000
--45	90	1.55527278307144	-0.5997439315	1.799743932	0.000000000
+45	45	1.12174041775187	1.147637132	1.347637132	0.6476371321
+40	45	1.12763628374111	1.075403032	1.385738631	0.6857386306
+35	45	1.13581567783407	1.003975735	1.419751941	0.7197519409
+30	45	1.14598757703860	0.9331425906	1.450224974	0.7502249739
+25	45	1.15794906511408	0.8626066698	1.477612513	0.7776125129
+20	45	1.17157505487908	0.7920075485	1.502284146	0.8022841457
+15	45	1.18680712795677	0.7209322028	1.524530206	0.8245302059
+10	45	1.20364781829271	0.6489201590	1.544568190	0.8445681905
+5	45	1.22215480647622	0.5754629084	1.562544990	0.8625449903
+0	45	1.24243961968156	0.5000000000	1.578537480	0.8785374803
+-5	45	1.26466798937522	0.4219120817	1.592548990	0.8925489904
+-10	45	1.28906145829110	0.3405121212	1.604500708	0.9045007075
+-15	45	1.31590261850239	0.2550357954	1.614218858	0.9142188578
+-20	45	1.34553889903327	0.1646330821	1.621413034	0.9214130342
+-25	45	1.37838948027648	0.06836338123	1.625647716	0.9256477161
+-30	45	1.41494893501759	-0.03480042856	1.626301514	0.9263015142
+-35	45	1.45578752971526	-0.1459512790	1.622514032	0.9225140316
+-40	45	1.50154446598869	-0.2661985083	1.613119825	0.9131198249
+-45	45	1.55290197369370	-0.3965683725	1.596568373	0.8965683725
+
+45	50	1.10236159675067	1.170368578	1.370368578	0.5625060264
+40	50	1.10612459179627	1.098099489	1.412787215	0.5980994894
+35	50	1.11256085797568	1.025889816	1.451048492	0.6302045125
+30	50	1.12139914307056	0.9535854841	1.485633104	0.6592244478
+25	50	1.13244323240048	0.8809476408	1.516944852	0.6854981241
+20	50	1.14556573008824	0.8076684917	1.545312234	0.7093011835
+15	50	1.16070183823152	0.7333811148	1.570990178	0.7308475371
+10	50	1.17784629660392	0.6576649658	1.594162454	0.7502913853
+5	50	1.19704963005987	0.5800469387	1.614940696	0.7677264009
+0	50	1.21841681811591	0.5000000000	1.633361433	0.7831832341
+-5	50	1.24210750941060	0.4169400322	1.649379776	0.7966242199
+-10	50	1.26833648591509	0.3302221358	1.662858115	0.8079338890
+-15	50	1.29737659283909	0.2391378340	1.673550857	0.8169061651
+-20	50	1.32955915453512	0.1429157673	1.681080866	0.8232245929
+-25	50	1.36527484434443	0.04072909250	1.684909640	0.8264373153
+-30	50	1.40497245703006	-0.06828571342	1.684299729	0.8259255394
+-35	50	1.44914808464872	-0.1849892421	1.678266021	0.8208626572
+-40	50	1.49832868032853	-0.3101705950	1.665523717	0.8101705950
+-45	50	1.55303726138170	-0.4444336444	1.644433644	0.7924739226
+
+45	55	1.08664468692449	1.188592910	1.388592910	0.4821579461
+40	55	1.08842492809519	1.116532836	1.434755222	0.5144811455
+35	55	1.09317601687458	1.043901870	1.476772371	0.5439018696
+30	55	1.10066514034537	0.9705729331	1.515056229	0.5707085155
+25	55	1.11071940581542	0.8963390533	1.549951843	0.5951426874
+20	55	1.12322484259583	0.8209258957	1.581736652	0.6173986503
+15	55	1.13812359273761	0.7439996586	1.610619123	0.6376223742
+10	55	1.15541273733340	0.6651721468	1.636737793	0.6559108643
+5	55	1.17514245443671	0.5840029204	1.660157774	0.6723097109
+0	55	1.19741478005438	0.5000000000	1.680864765	0.6868089024
+-5	55	1.22238385757597	0.4126201139	1.698756669	0.6993369483
+-10	55	1.25025468374893	0.3212697130	1.713629828	0.7097512462
+-15	55	1.28128346022722	0.2253086318	1.725162142	0.7178262600
+-20	55	1.31577597060973	0.1240587228	1.732890170	0.7232374833
+-25	55	1.35408219618193	0.01682157263	1.736179481	0.7255406838
+-30	55	1.39659100789472	-0.09709161566	1.734193015	0.7241497451
+-35	55	1.44371193652946	-0.2183084969	1.725850848	0.7183084969
+-40	55	1.49585159693497	-0.3473176273	1.709793826	0.7070652493
+-45	55	1.55337598678942	-0.4843545949	1.684354595	0.6892525076
+
+45	60	1.07400988447446	1.203104513	1.403104513	0.4059375800
+40	60	1.07402038895343	1.131372426	1.452440357	0.4344216429
+35	60	1.07722015037549	1.058551998	1.497694922	0.4605493780
+30	60	1.08342329756063	0.9845216284	1.539216078	0.4845216284
+25	60	1.09249129586866	0.9090872788	1.577290501	0.5065039067
+20	60	1.10433459583972	0.8319923310	1.612141433	0.5266251019
+15	60	1.11891227149368	0.7529241041	1.643925607	0.5449757033
+10	60	1.13623168968422	0.6715184756	1.672729612	0.5616057036
+5	60	1.15634904091532	0.5873631623	1.698565514	0.5765220686
+0	60	1.17936698758639	0.5000000000	1.721361772	0.5896834938
+-5	60	1.20543484631613	0.4089283630	1.740953574	0.6009948264
+-10	60	1.23474604474183	0.3136104095	1.757067896	0.6102984343
+-15	60	1.26753588570762	0.2134803268	1.769305978	0.6173640940
+-20	60	1.30407813955239	0.1079594508	1.777122556	0.6218769979
+-25	60	1.34467452501637	-0.003518192268	1.779798248	0.6234218091
+-30	60	1.38964578886670	-0.1214684897	1.776414999	0.6214684897
+-35	60	1.43931073259981	-0.2463004518	1.765827503	0.6153557956
+-40	60	1.49395797395890	-0.3782364660	1.746641464	0.6042787307
+-45	60	1.55380991382095	-0.5172073637	1.717207364	0.5872849452
+
+45	65	1.06399466472334	1.214518099	1.414518099	0.3331852615
+40	65	1.06248415124039	1.143150024	1.466476352	0.3574137928
+35	65	1.06431841067021	1.070280231	1.514444575	0.3797817425
+30	65	1.06935897932612	0.9957792366	1.558714827	0.4004253001
+25	65	1.07750571273429	0.9194531701	1.599520226	0.4194531701
+20	65	1.08869915607757	0.8410516813	1.637031793	0.4369451012
+15	65	1.10292131200584	0.7602736261	1.671354396	0.4529499938
+10	65	1.12019624989387	0.6767716812	1.702522022	0.4674836963
+5	65	1.14059037426326	0.5901563309	1.730491578	0.4805261143
+0	65	1.16420995429603	0.5000000000	1.755132547	0.4920163872
+-5	65	1.19120071990534	0.4058432469	1.776216613	0.5018480483
+-10	65	1.22174394598770	0.3072036651	1.793402349	0.5098618888
+-15	65	1.25605196879533	0.2035897331	1.806218176	0.5158380070
+-20	65	1.29436327008545	0.09452088573	1.814044711	0.5194875800
+-25	65	1.33692837931942	-0.02044164617	1.816090712	0.5204416462
+-30	65	1.38399817190951	-0.1416531496	1.811375856	0.5182430727
+-35	65	1.43580357837202	-0.2693284152	1.798714843	0.5123391453
+-40	65	1.49252530071656	-0.4034654140	1.776708153	0.5020772573
+-45	65	1.55426185883373	-0.5437535693	1.743753569	0.4867102826
+
+45	70	1.05623878849709	1.223302899	1.423302899	0.2632607257
+40	70	1.05347528535430	1.152281442	1.477358752	0.2829354472
+35	70	1.05416284534203	1.079437610	1.527522667	0.3011936191
+30	70	1.05820652584248	1.004627965	1.574041274	0.3181250072
+25	70	1.06554379254672	0.9276517876	1.617102218	0.3337979091
+20	70	1.07614626194928	0.8482576936	1.656830149	0.3482576936
+15	70	1.09002131279451	0.7661492886	1.693282668	0.3615253252
+10	70	1.10721209733936	0.6809898286	1.726444324	0.3735951812
+5	70	1.12779754742850	0.5924072420	1.756219610	0.3844324987
+0	70	1.15188930023428	0.5000000000	1.782421875	0.3939693436
+-5	70	1.17963072165625	0.4033457540	1.804763087	0.4021008796
+-10	70	1.21119150145585	0.3020132342	1.822838746	0.4086798812
+-15	70	1.24676123474909	0.1955796994	1.836112029	0.4135109613
+-20	70	1.28654345424845	0.08365449757	1.843899867	0.4163455024
+-25	70	1.33073915138947	-0.03408689616	1.845353045	0.4168744161
+-30	70	1.37953380611351	-0.1578596142	1.839446276	0.4147245280
+-35	70	1.43307888380385	-0.2877149214	1.824973495	0.4094568665
+-40	70	1.49146241290675	-0.4234704101	1.800549179	0.4005671425
+-45	70	1.55468134718264	-0.5646319169	1.764631917	0.3874943282
+
+45	75	1.05046734307895	1.229808605	1.429808605	0.1955516264
+40	75	1.04672750592781	1.159082457	1.485463886	0.2104644140
+35	75	1.04650850754085	1.086295938	1.537317375	0.2243585145
+30	75	1.04975164239761	1.011290433	1.585581007	0.2372907157
+25	75	1.05642686647149	0.9338555592	1.630406249	0.2493016031
+20	75	1.06653393161702	0.8537353095	1.671879775	0.2604144010
+15	75	1.08010429343488	0.7706339637	1.710019703	0.2706339637
+10	75	1.09719949437962	0.6842208023	1.744768087	0.2799447651
+5	75	1.11791122588873	0.5941364087	1.775984075	0.2883090639
+0	75	1.14235723074395	0.5000000000	1.803432352	0.2956638076
+-5	75	1.17067956998896	0.4014201057	1.826773347	0.3019180085
+-10	75	1.20303801077509	0.2980088137	1.845548943	0.3069489141
+-15	75	1.23960169658904	0.1894019192	1.859167818	0.3105980808
+-20	75	1.28054242612822	0.07528489432	1.866895163	0.3126686165
+-25	75	1.32601796174512	-0.04457178493	1.867837961	0.3129212387
+-30	75	1.37615798841553	-0.1702694096	1.860940672	0.3110731156
+-35	75	1.43104696663326	-0.3017297685	1.844988771	0.3067988165
+-40	75	1.49069945419224	-0.4386338409	1.818620252	0.2997333932
+-45	75	1.55503419895634	-0.5803547080	1.780354708	0.2894801715
+
+45	80	1.04648013135345	1.234287736	1.434287736	0.1294747394
+40	80	1.04204314825998	1.163784400	1.491067443	0.1394865338
+35	80	1.04116985057065	1.091056853	1.544116667	0.1488405432
+30	80	1.04382854150768	1.015933562	1.593623142	0.1575698705
+25	80	1.05001421826155	0.9381951181	1.639712463	0.1656966614
+20	80	1.05974874517702	0.8575801108	1.682443280	0.1732312573
+15	80	1.07308305821483	0.7737915814	1.721804092	0.1801716305
+10	80	1.09009390378420	0.6865018438	1.757704516	0.1865018438
+5	80	1.11088381646374	0.5953599140	1.789968805	0.1921909084
+0	80	1.13557604903767	0.5000000000	1.818324097	0.1971907115
+-5	80	1.16431214703046	0.4000537189	1.842391221	0.2014343947
+-10	80	1.19724418012188	0.2951660437	1.861671093	0.2048339563
+-15	80	1.23452459685826	0.1850174466	1.875530893	0.2072778130
+-20	80	1.27630051729597	0.06935105372	1.883198256	0.2086297760
+-25	80	1.32269612776117	-0.05199155951	1.883749719	0.2087270139
+-30	80	1.37379847914033	-0.1790279381	1.876110889	0.2073800820
+-35	80	1.42964187062260	-0.3115867211	1.859065958	0.2043746008
+-40	80	1.49018721211946	-0.4492534221	1.831276176	0.1994745125
+-45	80	1.55529867454215	-0.5913123982	1.791312398	0.1924278202
+
+45	85	1.04414048996682	1.236910041	1.436910041	0.06447127464
+40	85	1.03928579716792	1.166544748	1.494357099	0.06949724092
+35	85	1.03801777901625	1.093859434	1.548119167	0.07420081244
+30	85	1.04032128932339	1.018673999	1.598369719	0.07859716611
+25	85	1.04620687755355	0.9407627286	1.645218722	0.08269592271
+20	85	1.05571057006354	0.8598602012	1.688707777	0.08650072203
+15	85	1.06889591527939	0.7756680259	1.728807079	0.09000895633
+10	85	1.08584965345009	0.6878598177	1.765405969	0.09321094433
+5	85	1.10668155536499	0.5960893899	1.798306753	0.09608938994
+0	85	1.13151870007371	0.5000000000	1.827212930	0.09861835274
+-5	85	1.16050265120553	0.3992375076	1.851720558	0.1007624924
+-10	85	1.19378011929090	0.2934674336	1.871304389	0.1024758556
+-15	85	1.23149318346005	0.1823981737	1.885306152	0.1037008511
+-20	85	1.27377320345295	0.06580876017	1.892930627	0.1043679062
+-25	85	1.32072311552134	-0.05641531004	1.893236483	0.1043946652
+-30	85	1.37240329508127	-0.1842404487	1.885139222	0.1036862466
+-35	85	1.42881710356349	-0.3174392902	1.867424293	0.1021363912
+-40	85	1.48989278227453	-0.4555410191	1.838769442	0.09962941658
+-45	85	1.55546216520579	-0.5977791774	1.797779177	0.09604323308
+
+45	90	1.04336904550817	1.237773327	1.437773327	0.000000000
+40	90	1.03837519294069	1.167454708	1.495441546	0.000000000
+35	90	1.03697521895838	1.094784551	1.549440370	0.000000000
+30	90	1.03915954905124	1.019579775	1.599938568	0.000000000
+25	90	1.04494401993179	0.9416124253	1.647040902	0.000000000
+20	90	1.05436953800136	0.8606156205	1.690783274	0.000000000
+15	90	1.06750397899687	0.7762903605	1.731129663	0.000000000
+10	90	1.08443756956668	0.6883106077	1.767962526	0.000000000
+5	90	1.10528261662946	0.5963317274	1.801076683	0.000000000
+0	90	1.13016756591658	0.5000000000	1.830167566	0.000000000
+-5	90	1.15923404549588	0.3989660957	1.854822810	0.000000000
+-10	90	1.19262686021841	0.2929025191	1.874508178	0.000000000
+-15	90	1.23048456146401	0.1815271608	1.888556817	0.000000000
+-20	90	1.27293309799749	0.06463123938	1.896165839	0.000000000
+-25	90	1.32006813714009	-0.05788490150	1.896388032	0.000000000
+-30	90	1.37194098401175	-0.1859704920	1.888135745	0.000000000
+-35	90	1.42854456421563	-0.3193795003	1.870195200	0.000000000
+-40	90	1.48979612105544	-0.4576224876	1.841250040	0.000000000
+-45	90	1.55551680281430	-0.5999164795	1.799916480	0.000000000
+
+45	95	1.04414048996682	1.236910041	1.436910041	-0.06447127464
+40	95	1.03928579716792	1.166544748	1.494357099	-0.06949724092
+35	95	1.03801777901625	1.093859434	1.548119167	-0.07420081244
+30	95	1.04032128932339	1.018673999	1.598369719	-0.07859716611
+25	95	1.04620687755355	0.9407627286	1.645218722	-0.08269592271
+20	95	1.05571057006354	0.8598602012	1.688707777	-0.08650072203
+15	95	1.06889591527940	0.7756680259	1.728807079	-0.09000895633
+10	95	1.08584965345009	0.6878598177	1.765405969	-0.09321094433
+5	95	1.10668155536499	0.5960893899	1.798306753	-0.09608938994
+0	95	1.13151870007371	0.5000000000	1.827212930	-0.09861835274
+-5	95	1.16050265120553	0.3992375076	1.851720558	-0.1007624924
+-10	95	1.19378011929090	0.2934674336	1.871304389	-0.1024758556
+-15	95	1.23149318346005	0.1823981737	1.885306152	-0.1037008511
+-20	95	1.27377320345296	0.06580876017	1.892930627	-0.1043679062
+-25	95	1.32072311552134	-0.05641531004	1.893236483	-0.1043946652
+-30	95	1.37240329508127	-0.1842404487	1.885139222	-0.1036862466
+-35	95	1.42881710356349	-0.3174392902	1.867424293	-0.1021363912
+-40	95	1.48989278227453	-0.4555410191	1.838769442	-0.09962941658
+-45	95	1.55546216520579	-0.5977791774	1.797779177	-0.09604323308
+
+45	100	1.04648013135345	1.234287736	1.434287736	-0.1294747394
+40	100	1.04204314825998	1.163784400	1.491067443	-0.1394865338
+35	100	1.04116985057065	1.091056853	1.544116667	-0.1488405432
+30	100	1.04382854150768	1.015933562	1.593623142	-0.1575698705
+25	100	1.05001421826155	0.9381951181	1.639712463	-0.1656966614
+20	100	1.05974874517702	0.8575801108	1.682443280	-0.1732312573
+15	100	1.07308305821483	0.7737915814	1.721804092	-0.1801716305
+10	100	1.09009390378420	0.6865018438	1.757704516	-0.1865018438
+5	100	1.11088381646374	0.5953599140	1.789968805	-0.1921909084
+0	100	1.13557604903767	0.5000000000	1.818324097	-0.1971907115
+-5	100	1.16431214703046	0.4000537189	1.842391221	-0.2014343947
+-10	100	1.19724418012188	0.2951660437	1.861671093	-0.2048339563
+-15	100	1.23452459685826	0.1850174466	1.875530893	-0.2072778130
+-20	100	1.27630051729597	0.06935105372	1.883198256	-0.2086297760
+-25	100	1.32269612776118	-0.05199155951	1.883749719	-0.2087270139
+-30	100	1.37379847914033	-0.1790279381	1.876110889	-0.2073800820
+-35	100	1.42964187062260	-0.3115867211	1.859065958	-0.2043746008
+-40	100	1.49018721211946	-0.4492534221	1.831276176	-0.1994745125
+-45	100	1.55529867454215	-0.5913123982	1.791312398	-0.1924278202
+
+45	105	1.05046734307895	1.229808605	1.429808605	-0.1955516264
+40	105	1.04672750592781	1.159082457	1.485463886	-0.2104644140
+35	105	1.04650850754085	1.086295938	1.537317375	-0.2243585145
+30	105	1.04975164239761	1.011290433	1.585581007	-0.2372907157
+25	105	1.05642686647149	0.9338555592	1.630406249	-0.2493016031
+20	105	1.06653393161702	0.8537353095	1.671879775	-0.2604144010
+15	105	1.08010429343488	0.7706339637	1.710019703	-0.2706339637
+10	105	1.09719949437962	0.6842208023	1.744768087	-0.2799447651
+5	105	1.11791122588873	0.5941364087	1.775984075	-0.2883090639
+0	105	1.14235723074395	0.5000000000	1.803432352	-0.2956638076
+-5	105	1.17067956998896	0.4014201057	1.826773347	-0.3019180085
+-10	105	1.20303801077509	0.2980088137	1.845548943	-0.3069489141
+-15	105	1.23960169658904	0.1894019192	1.859167818	-0.3105980808
+-20	105	1.28054242612822	0.07528489432	1.866895163	-0.3126686165
+-25	105	1.32601796174512	-0.04457178493	1.867837961	-0.3129212387
+-30	105	1.37615798841553	-0.1702694096	1.860940672	-0.3110731156
+-35	105	1.43104696663326	-0.3017297685	1.844988771	-0.3067988165
+-40	105	1.49069945419224	-0.4386338409	1.818620252	-0.2997333932
+-45	105	1.55503419895634	-0.5803547080	1.780354708	-0.2894801715
+
+45	110	1.05623878849709	1.223302899	1.423302899	-0.2632607257
+40	110	1.05347528535430	1.152281442	1.477358752	-0.2829354472
+35	110	1.05416284534203	1.079437610	1.527522667	-0.3011936191
+30	110	1.05820652584248	1.004627965	1.574041274	-0.3181250072
+25	110	1.06554379254672	0.9276517876	1.617102218	-0.3337979091
+20	110	1.07614626194929	0.8482576936	1.656830149	-0.3482576936
+15	110	1.09002131279452	0.7661492886	1.693282668	-0.3615253252
+10	110	1.10721209733936	0.6809898286	1.726444324	-0.3735951812
+5	110	1.12779754742851	0.5924072420	1.756219610	-0.3844324987
+0	110	1.15188930023428	0.5000000000	1.782421875	-0.3939693436
+-5	110	1.17963072165626	0.4033457540	1.804763087	-0.4021008796
+-10	110	1.21119150145585	0.3020132342	1.822838746	-0.4086798812
+-15	110	1.24676123474909	0.1955796994	1.836112029	-0.4135109613
+-20	110	1.28654345424845	0.08365449757	1.843899867	-0.4163455024
+-25	110	1.33073915138947	-0.03408689616	1.845353045	-0.4168744161
+-30	110	1.37953380611351	-0.1578596142	1.839446276	-0.4147245280
+-35	110	1.43307888380385	-0.2877149214	1.824973495	-0.4094568665
+-40	110	1.49146241290675	-0.4234704101	1.800549179	-0.4005671425
+-45	110	1.55468134718264	-0.5646319169	1.764631917	-0.3874943282
+
+45	115	1.06399466472334	1.214518099	1.414518099	-0.3331852615
+40	115	1.06248415124040	1.143150024	1.466476352	-0.3574137928
+35	115	1.06431841067021	1.070280231	1.514444575	-0.3797817425
+30	115	1.06935897932612	0.9957792366	1.558714827	-0.4004253001
+25	115	1.07750571273429	0.9194531701	1.599520226	-0.4194531701
+20	115	1.08869915607757	0.8410516813	1.637031793	-0.4369451012
+15	115	1.10292131200584	0.7602736261	1.671354396	-0.4529499938
+10	115	1.12019624989387	0.6767716812	1.702522022	-0.4674836963
+5	115	1.14059037426327	0.5901563309	1.730491578	-0.4805261143
+0	115	1.16420995429603	0.5000000000	1.755132547	-0.4920163872
+-5	115	1.19120071990534	0.4058432469	1.776216613	-0.5018480483
+-10	115	1.22174394598770	0.3072036651	1.793402349	-0.5098618888
+-15	115	1.25605196879533	0.2035897331	1.806218176	-0.5158380070
+-20	115	1.29436327008545	0.09452088573	1.814044711	-0.5194875800
+-25	115	1.33692837931942	-0.02044164617	1.816090712	-0.5204416462
+-30	115	1.38399817190951	-0.1416531496	1.811375856	-0.5182430727
+-35	115	1.43580357837202	-0.2693284152	1.798714843	-0.5123391453
+-40	115	1.49252530071656	-0.4034654140	1.776708153	-0.5020772573
+-45	115	1.55426185883373	-0.5437535693	1.743753569	-0.4867102826
+
+45	120	1.07400988447446	1.203104513	1.403104513	-0.4059375800
+40	120	1.07402038895343	1.131372426	1.452440357	-0.4344216429
+35	120	1.07722015037550	1.058551998	1.497694922	-0.4605493780
+30	120	1.08342329756064	0.9845216284	1.539216078	-0.4845216284
+25	120	1.09249129586866	0.9090872788	1.577290501	-0.5065039067
+20	120	1.10433459583972	0.8319923310	1.612141433	-0.5266251019
+15	120	1.11891227149368	0.7529241041	1.643925607	-0.5449757033
+10	120	1.13623168968422	0.6715184756	1.672729612	-0.5616057036
+5	120	1.15634904091532	0.5873631623	1.698565514	-0.5765220686
+0	120	1.17936698758639	0.5000000000	1.721361772	-0.5896834938
+-5	120	1.20543484631613	0.4089283630	1.740953574	-0.6009948264
+-10	120	1.23474604474183	0.3136104095	1.757067896	-0.6102984343
+-15	120	1.26753588570762	0.2134803268	1.769305978	-0.6173640940
+-20	120	1.30407813955239	0.1079594508	1.777122556	-0.6218769979
+-25	120	1.34467452501637	-0.003518192268	1.779798248	-0.6234218091
+-30	120	1.38964578886670	-0.1214684897	1.776414999	-0.6214684897
+-35	120	1.43931073259981	-0.2463004518	1.765827503	-0.6153557956
+-40	120	1.49395797395890	-0.3782364660	1.746641464	-0.6042787307
+-45	120	1.55380991382095	-0.5172073637	1.717207364	-0.5872849452
+
+45	125	1.08664468692449	1.188592910	1.388592910	-0.4821579461
+40	125	1.08842492809519	1.116532836	1.434755222	-0.5144811455
+35	125	1.09317601687459	1.043901870	1.476772371	-0.5439018696
+30	125	1.10066514034537	0.9705729331	1.515056229	-0.5707085155
+25	125	1.11071940581542	0.8963390533	1.549951843	-0.5951426874
+20	125	1.12322484259583	0.8209258957	1.581736652	-0.6173986503
+15	125	1.13812359273761	0.7439996586	1.610619123	-0.6376223742
+10	125	1.15541273733340	0.6651721468	1.636737793	-0.6559108643
+5	125	1.17514245443671	0.5840029204	1.660157774	-0.6723097109
+0	125	1.19741478005438	0.5000000000	1.680864765	-0.6868089024
+-5	125	1.22238385757597	0.4126201139	1.698756669	-0.6993369483
+-10	125	1.25025468374893	0.3212697130	1.713629828	-0.7097512462
+-15	125	1.28128346022722	0.2253086318	1.725162142	-0.7178262600
+-20	125	1.31577597060973	0.1240587228	1.732890170	-0.7232374833
+-25	125	1.35408219618193	0.01682157263	1.736179481	-0.7255406838
+-30	125	1.39659100789472	-0.09709161566	1.734193015	-0.7241497451
+-35	125	1.44371193652946	-0.2183084969	1.725850848	-0.7183084969
+-40	125	1.49585159693497	-0.3473176273	1.709793826	-0.7070652493
+-45	125	1.55337598678942	-0.4843545949	1.684354595	-0.6892525076
+
+45	130	1.10236159675067	1.170368578	1.370368578	-0.5625060264
+40	130	1.10612459179627	1.098099489	1.412787215	-0.5980994894
+35	130	1.11256085797568	1.025889816	1.451048492	-0.6302045125
+30	130	1.12139914307056	0.9535854841	1.485633104	-0.6592244478
+25	130	1.13244323240048	0.8809476408	1.516944852	-0.6854981241
+20	130	1.14556573008824	0.8076684917	1.545312234	-0.7093011835
+15	130	1.16070183823152	0.7333811148	1.570990178	-0.7308475371
+10	130	1.17784629660392	0.6576649658	1.594162454	-0.7502913853
+5	130	1.19704963005987	0.5800469387	1.614940696	-0.7677264009
+0	130	1.21841681811591	0.5000000000	1.633361433	-0.7831832341
+-5	130	1.24210750941060	0.4169400322	1.649379776	-0.7966242199
+-10	130	1.26833648591510	0.3302221358	1.662858115	-0.8079338890
+-15	130	1.29737659283909	0.2391378340	1.673550857	-0.8169061651
+-20	130	1.32955915453512	0.1429157673	1.681080866	-0.8232245929
+-25	130	1.36527484434443	0.04072909250	1.684909640	-0.8264373153
+-30	130	1.40497245703006	-0.06828571342	1.684299729	-0.8259255394
+-35	130	1.44914808464872	-0.1849892421	1.678266021	-0.8208626572
+-40	130	1.49832868032854	-0.3101705950	1.665523717	-0.8101705950
+-45	130	1.55303726138170	-0.4444336444	1.644433644	-0.7924739226
+
+45	135	1.12174041775187	1.147637132	1.347637132	-0.6476371321
+40	135	1.12763628374111	1.075403032	1.385738631	-0.6857386306
+35	135	1.13581567783407	1.003975735	1.419751941	-0.7197519409
+30	135	1.14598757703860	0.9331425906	1.450224974	-0.7502249739
+25	135	1.15794906511408	0.8626066698	1.477612513	-0.7776125129
+20	135	1.17157505487908	0.7920075485	1.502284146	-0.8022841457
+15	135	1.18680712795677	0.7209322028	1.524530206	-0.8245302059
+10	135	1.20364781829271	0.6489201590	1.544568190	-0.8445681905
+5	135	1.22215480647622	0.5754629084	1.562544990	-0.8625449903
+0	135	1.24243961968156	0.5000000000	1.578537480	-0.8785374803
+-5	135	1.26466798937522	0.4219120817	1.592548990	-0.8925489904
+-10	135	1.28906145829111	0.3405121212	1.604500708	-0.9045007075
+-15	135	1.31590261850239	0.2550357954	1.614218858	-0.9142188578
+-20	135	1.34553889903327	0.1646330821	1.621413034	-0.9214130342
+-25	135	1.37838948027648	0.06836338123	1.625647716	-0.9256477161
+-30	135	1.41494893501759	-0.03480042856	1.626301514	-0.9263015142
+-35	135	1.45578752971526	-0.1459512790	1.622514032	-0.9225140316
+-40	135	1.50154446598869	-0.2661985083	1.613119825	-0.9131198249
+-45	135	1.55290197369370	-0.3965683725	1.596568373	-0.8965683725
 
 
 ### -x patch
-# N_rho = 10
+# N_rho = 19
 # 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	1.55527277161563	-0.5997439234	1.799743923	1.346797876e-16
--90	40	1.62517141905583	-0.7449535347	1.744640052	1.524628361e-16
--90	35	1.69884929915786	-0.8916158763	1.674419927	1.704237929e-16
--90	30	1.77578830601796	-1.037877785	1.587894153	1.883357107e-16
--90	25	1.85535150999714	-1.181519521	1.484105430	2.059267499e-16
--90	20	1.93677165882584	-1.319970036	1.362414920	2.228820479e-16
--90	15	2.01921179375394	-1.450408820	1.222610468	2.388561919e-16
--90	10	2.10173546757241	-1.569805383	1.064962534	2.534780537e-16
--90	5	2.18335836985798	-1.675050032	0.8902922204	2.663668060e-16
--90	-2.84217e-14	2.26306604711738	-1.763066047	0.7000000000	2.771456591e-16
--90	-5	2.33984111070794	-1.830937309	0.4960694101	2.854574914e-16
--90	-10	2.41267721714441	-1.876023229	0.2810429979	2.909789242e-16
--90	-15	2.48060139143864	-1.896076949	0.05797311659	2.934347966e-16
--90	-20	2.54270399542360	-1.889360181	-0.1696559849	2.926122298e-16
--90	-25	2.59815652892927	-1.854729494	-0.3980283960	2.883711938e-16
--90	-30	2.64622075360117	-1.791694397	-0.6231103768	2.806516207e-16
--90	-35	2.68625444522248	-1.700450820	-0.8407722518	2.694775054e-16
--90	-40	2.71772295429866	-1.581896567	-1.046918642	2.549587967e-16
--90	-45	2.74021036063534	-1.437621328	-1.237621328	2.372901757e-16
-
--85	45	1.55521932578237	-0.5976077917	1.797607792	0.09602823877
--85	40	1.62492911868172	-0.7419817375	1.742146418	0.1086593223
--85	35	1.69834627792783	-0.8876448552	1.671639388	0.1214031938
--85	30	1.77495217501334	-1.032760412	1.584939636	0.1340991599
--85	25	1.85411406979033	-1.175140327	1.481130763	0.1465557884
--85	20	1.93507836659022	-1.312264729	1.359610418	0.1585526191
--85	15	2.01702402341989	-1.441375735	1.220190060	0.1698483684
--85	10	2.09903702430659	-1.559517694	1.063148537	0.1801844506
--85	5	2.18016043392360	-1.663662090	0.8892959046	0.1892959046
--85	-2.84217e-14	2.25940725668652	-1.750809530	0.7000000000	0.1969203176
--85	-5	2.33578773816194	-1.818111686	0.4971915067	0.2028084933
--85	-10	2.40832131564505	-1.862978978	0.2833430513	0.2067338728
--85	-15	2.47605424430433	-1.883190072	0.06142614473	0.2085021143
--85	-20	2.53809071913919	-1.877005691	-0.1651593181	0.2079610511
--85	-25	2.59360638005808	-1.843250996	-0.3926758842	0.2050078979
--85	-30	2.64185974293419	-1.781378667	-0.6171545874	0.1995947706
--85	-35	2.68219898706193	-1.691508100	-0.8345104918	0.1917321148
--85	-40	2.71407010886369	-1.574444645	-1.040665737	0.1814903896
--85	-45	2.73703188295268	-1.431680935	-1.231680935	0.1690001833
-
--80	45	1.55505704862442	-0.5911428556	1.791142856	0.1923979253
--80	40	1.62419793445551	-0.7330104658	1.734618627	0.2174130126
--80	35	1.69683303797399	-0.8756881714	1.663267228	0.2425709417
--80	30	1.77244357901942	-1.017391542	1.576066415	0.2675570691
--80	25	1.85041077192365	-1.156029065	1.472219035	0.2920026050
--80	20	1.93002065214649	-1.289231484	1.351227002	0.3154897854
--80	15	2.01050155166755	-1.414426565	1.212969052	0.3375650560
--80	10	2.09100360350601	-1.528874712	1.057745352	0.3577453522
--80	5	2.17064993352547	-1.629782321	0.8863318089	0.3755380863
--80	-2.84217e-14	2.24853211069624	-1.714371856	0.7000000000	0.3904535034
--80	-5	2.32373961454004	-1.779989728	0.5005267459	0.4020237047
--80	-10	2.39536471294769	-1.824192499	0.2901821540	0.4098178460
--80	-15	2.46251484148278	-1.844839687	0.07170209939	0.4134585023
--80	-20	2.52433319889028	-1.840190729	-0.1517597677	0.4126387655
--80	-25	2.58001215597297	-1.808987379	-0.3766984976	0.4071367731
--80	-30	2.62880321760419	-1.750522282	-0.5993396452	0.3968277990
--80	-35	2.67002545432958	-1.664692903	-0.8157342885	0.3816937637
--80	-40	2.70307406758750	-1.552039683	-1.021865741	0.3618299617
--80	-45	2.72743710365529	-1.413771274	-1.213771274	0.3374495106
-
--75	45	1.55479591574836	-0.5801891616	1.780189162	0.2894358135
--75	40	1.62298606645685	-0.7178880711	1.721929431	0.3263321251
--75	35	1.69432241480861	-0.8556369457	1.649227208	0.3632418248
--75	30	1.76828970411187	-0.9917469179	1.561260485	0.3997123820
--75	25	1.84429621438478	-1.124291068	1.457419364	0.4352274800
--75	20	1.92169264928778	-1.251143742	1.337364198	0.4692175516
--75	15	1.99978644181748	-1.370026552	1.201072104	0.5010721044
--75	10	2.07783572935617	-1.478543073	1.048870526	0.5301490186
--75	5	2.15508057117694	-1.574254485	0.8814737527	0.5557948142
--75	-2.84217e-14	2.23074036921053	-1.654729734	0.7000000000	0.5773580922
--75	-5	2.30402476443696	-1.717612541	0.5059840426	0.5942074895
--75	-10	2.37413850031921	-1.760686549	0.3013799665	0.6057491351
--75	-15	2.44028618189141	-1.781943641	0.08855504417	0.6114449558
--75	-20	2.50167963789068	-1.779657283	-0.1297273953	0.6108323280
--75	-25	2.55754598937686	-1.752457644	-0.3503382493	0.6035442068
--75	-30	2.60713372309858	-1.699404140	-0.5698265723	0.5893285631
--75	-35	2.64972311543774	-1.620058449	-0.7844809076	0.5680679494
--75	-40	2.68464072887115	-1.514553289	-0.9904109221	0.5397979270
--75	-45	2.71126827235541	-1.383644388	-1.183644388	0.5047209927
-
--70	45	1.55444710563718	-0.5644715104	1.764471510	0.3874359450
--70	40	1.62129808049425	-0.6963548366	1.703860902	0.4354375501
--70	35	1.69082791034788	-0.8273076626	1.629390831	0.4831004809
--70	30	1.76253321935398	-0.9557902853	1.540500913	0.5298643312
--70	25	1.83586462287713	-1.080109170	1.436817007	0.5751127048
--70	20	1.91025759362011	-1.198460631	1.318189114	0.6181891136
--70	15	1.98512341437574	-1.308945071	1.184705371	0.6584021611
--70	10	2.05986622437608	-1.409605215	1.036714922	0.6950394574
--70	5	2.13386787613197	-1.498437663	0.8748406403	0.7273718243
--70	-2.84217e-14	2.20651240618929	-1.573443426	0.7000000000	0.7546716894
--70	-5	2.27716342092047	-1.632638668	0.5134182932	0.7762169956
--70	-10	2.34516759365821	-1.674094712	0.3166484436	0.7913057617
--70	-15	2.40985487134895	-1.695981901	0.1115884229	0.7992720471
--70	-20	2.47053355408868	-1.696616829	-0.09950314190	0.7995031419
--70	-25	2.52649041346462	-1.674523448	-0.3139969367	0.7914618089
--70	-30	2.57699154223032	-1.628504139	-0.5288924376	0.7747121501
--70	-35	2.62128848362124	-1.557723479	-0.7408334916	0.7489500967
--70	-40	2.65863078678187	-1.461801990	-0.9461473261	0.7140375298
--70	-45	2.68827772594541	-1.340908604	-1.140908604	0.6700359359
-
--65	45	1.55403276472512	-0.5435997227	1.743599723	0.4866385428
--65	40	1.61915298228714	-0.6680573965	1.680116531	0.5446741091
--65	35	1.68637953726707	-0.7904621885	1.603591352	0.6017524010
--65	30	1.75523393940541	-0.9094849699	1.513766527	0.6572536355
--65	25	1.82523761678169	-1.023739628	1.410531458	0.7105314575
--65	20	1.89592657740165	-1.131803856	1.293928032	0.7609226346
--65	15	1.96684068052688	-1.232217268	1.164146218	0.8077461776
--65	10	2.03753537841434	-1.323496631	1.021531655	0.8503104436
--65	5	2.10756650174852	-1.404127527	0.8665895726	0.8879092481
--65	-2.84217e-14	2.17648810599748	-1.472568119	0.7000000000	0.9198236201
--65	-5	2.24384383586168	-1.527250296	0.5226385809	0.9453223382
--65	-10	2.30914479665152	-1.566574059	0.3356072358	0.9636593097
--65	-15	2.37186755246885	-1.588928693	0.1402732437	0.9740834468
--65	-20	2.43144343062305	-1.592717520	-0.06168688608	0.9758502060
--65	-25	2.48724960507432	-1.576398576	-0.2682405572	0.9682405572
--65	-30	2.53860170873825	-1.538543622	-0.4769537092	0.9505885026
--65	-35	2.58474862371023	-1.477917955	-0.6849530620	0.9223182896
--65	-40	2.62487999576300	-1.393589134	-0.8889099441	0.8829951147
--65	-45	2.65813679992246	-1.285052986	-1.085052986	0.8323838777
-
--60	45	1.55358690068111	-0.5170613673	1.717061367	0.5872006542
--60	40	1.61657481435526	-0.6325447296	1.650317865	0.6538750045
--60	35	1.68101878271177	-0.7448153207	1.571629071	0.7186944605
--60	30	1.74648463807176	-0.8528211835	1.481051674	0.7810516745
--60	25	1.81258296324226	-0.9555372854	1.378728183	0.8403548436
--60	20	1.87896645743070	-1.051960034	1.264867257	0.8960245435
--60	15	1.94532432368129	-1.141095097	1.139730106	0.9474866962
--60	10	2.01136878172935	-1.221935758	1.003623733	0.9941600732
--60	5	2.07682348467436	-1.293441459	0.8569057964	1.035443909
--60	-2.84217e-14	2.14142623587601	-1.354529521	0.7000000000	1.070713118
--60	-5	2.20489481598385	-1.404037491	0.5334183046	1.099296558
--60	-10	2.26691315174901	-1.440707667	0.3578008767	1.120468094
--60	-15	2.32712409237112	-1.463185209	0.1739661087	1.133445509
--60	-20	2.38510767273012	-1.470014829	-0.01702675897	1.137388592
--60	-25	2.44036298955545	-1.459656133	-0.2138026624	1.131407996
--60	-30	2.49229255083727	-1.430521509	-0.4145871127	1.114587113
--60	-35	2.54018732886967	-1.381040317	-0.6171186098	1.086019134
--60	-40	2.58322058457319	-1.309760261	-0.8185691678	1.044865574
--60	-45	2.62044589121405	-1.215484522	-1.015484522	0.9904354503
-
--55	45	1.55315926992843	-0.4842172642	1.684217264	0.6891563476
--55	40	1.61361070335192	-0.5892886231	1.614021682	0.7627281052
--55	35	1.67480956028258	-0.6900606791	1.533289458	0.8332894585
--55	30	1.73639993099267	-0.7858257499	1.442371843	0.9003448829
--55	25	1.79810164771364	-0.8759548999	1.341618307	0.9634539932
--55	20	1.85969837967603	-0.9598717554	1.231349865	1.022213208
--55	15	1.92101988445000	-1.037018873	1.111842966	1.076232201
--55	10	1.98194211003786	-1.106837123	0.9833287384	1.125119466
--55	5	2.04235185097979	-1.168716843	0.8459938064	1.168448112
--55	-2.84217e-14	2.10214682252827	-1.221977867	0.7000000000	1.205741883
--55	-5	2.16121368149371	-1.265833673	0.5455095719	1.236450049
--55	-10	2.21940797093208	-1.299359881	0.3827243050	1.259925353
--55	-15	2.27653892934435	-1.321471672	0.2119381366	1.275408195
--55	-20	2.33235052705942	-1.330905858	0.03360476583	1.282014084
--55	-25	2.38649463858131	-1.326208766	-0.1515751331	1.278725144
--55	-30	2.43850311616720	-1.305741893	-0.3425455679	1.264394085
--55	-35	2.48776717567889	-1.267719725	-0.5377706766	1.237770677
--55	-40	2.53350894028926	-1.210277739	-0.7350934200	1.197549365
--55	-45	2.57475933102332	-1.131592222	-0.9315922223	1.142453173
-
--50	45	1.55282737297981	-0.4443060069	1.644306007	0.7923668221
--50	40	1.61032659955354	-0.5376952298	1.570729685	0.8707296846
--50	35	1.66784497871849	-0.6259001671	1.488363784	0.9447424149
--50	30	1.72513378326245	-0.7085992908	1.397785126	1.014135219
--50	25	1.78203469054750	-0.7855603046	1.299466615	1.078713177
--50	20	1.83847033284702	-0.8566061053	1.193764242	1.138327683
--50	15	1.89441368038485	-0.9215672400	1.080907794	1.192836547
--50	10	1.94987644707675	-0.9802494297	0.9610079126	1.242076751
--50	5	2.00489088613397	-1.032397837	0.8340674387	1.285834460
--50	-2.84217e-14	2.05950071699256	-1.077669080	0.7000000000	1.323821543
--50	-5	2.11373897646269	-1.115593675	0.5586538686	1.355644057
--50	-10	2.16761210597642	-1.145543536	0.4098462767	1.380774974
--50	-15	2.22109088267267	-1.166705677	0.2534075598	1.398532119
--50	-20	2.27408459345070	-1.178045595	0.08924135169	1.408047440
--50	-25	2.32641473875770	-1.178276218	-0.08259305277	1.408240955
--50	-30	2.37778651599633	-1.165836658	-0.2617712432	1.397802926
--50	-35	2.42775173021410	-1.138884976	-0.4475596147	1.375187779
--50	-40	2.47566641307146	-1.095320619	-0.6386329429	1.338632943
--50	-45	2.52064269314772	-1.032854249	-0.8328542489	1.286217435
-
--45	45	1.55269872120951	-0.3964510247	1.596451025	0.8964510247
--45	40	1.60682460349267	-0.4771428245	1.519920184	0.9771428245
--45	35	1.66025388277128	-0.5520817575	1.436675577	1.052081757
--45	30	1.71287098401334	-0.6213372771	1.347404379	1.121337277
--45	25	1.76465999265082	-0.6850449494	1.252595535	1.185044949
--45	20	1.81567052021651	-0.7433549742	1.152544201	1.243354974
--45	15	1.86600312989668	-0.7963993126	1.047369149	1.296399313
--45	10	1.91579162009809	-0.8442608688	0.9370294603	1.344260869
--45	5	1.96518526708009	-0.8869443528	0.8213419078	1.386944353
--45	-2.84217e-14	2.01433952010682	-0.9243531343	0.7000000000	1.424353134
--45	-5	2.06340567129181	-0.9562641453	0.5725933962	1.456264145
--45	-10	2.11251757315006	-0.9822983243	0.4386308120	1.482298324
--45	-15	2.16178715920264	-1.001894258	0.2975686463	1.501894258
--45	-20	2.21127936380407	-1.014264381	0.1488528385	1.514264381
--45	-25	2.26099334313760	-1.018354104	-0.008020146460	1.518354104
--45	-30	2.31083573869643	-1.012797099	-0.1734138122	1.512797099
--45	-35	2.36057042375626	-0.9958634374	-0.3474148550	1.495863437
--45	-40	2.40976757495530	-0.9654288274	-0.5296407886	1.465428827
--45	-45	2.45773499475182	-0.9189739608	-0.7189739608	1.418973961
+-135	45	1.55290146873877	-0.3965680810	1.596568081	-0.8965680810
+-135	40	1.60702414154437	-0.4772641676	1.520022003	-0.9772641676
+-135	35	1.66045119458567	-0.5522067915	1.436763127	-1.052206791
+-135	30	1.71306614731503	-0.6214650415	1.347478144	-1.121465042
+-135	25	1.76485113470603	-0.6851733095	1.252655390	-1.185173309
+-135	20	1.81585748945665	-0.7434830091	1.152590802	-1.243483009
+-135	15	1.86618667044530	-0.7965268267	1.047403316	-1.296526827
+-135	10	1.91596984733040	-0.8443859262	0.9370515113	-1.344385926
+-135	5	1.96535845347529	-0.8870665804	0.8213526013	-1.387066580
+-135	-2.84217e-14	2.01450575522688	-0.9244706803	0.7000000000	-1.424470680
+-135	-5	2.06356416817192	-0.9563760056	0.5725836097	-1.456376006
+-135	-10	2.11267147985883	-0.9824063166	0.4386117700	-1.482406317
+-135	-15	2.16193548883482	-1.001997310	0.2975410338	-1.501997310
+-135	-20	2.21142352795429	-1.014363103	0.1488169065	-1.514363103
+-135	-25	2.26113615454639	-1.018450008	-0.008064867226	-1.518450008
+-135	-30	2.31097638115934	-1.012889171	-0.1734669700	-1.512889171
+-135	-35	2.36070954656283	-0.9959515978	-0.3474765856	-1.495951598
+-135	-40	2.40990806699343	-0.9655142635	-0.5297124780	-1.465514263
+-135	-45	2.45787910891999	-0.9190571652	-0.7190571652	-1.419057165
+
+-130	45	1.55303673364041	-0.4444333234	1.644433323	-0.7924736534
+-130	40	1.61053559442841	-0.5378299062	1.570842692	-0.8708426915
+-130	35	1.66805237182069	-0.6260401704	1.488461816	-0.9448598917
+-130	30	1.72533722358359	-0.7087418176	1.397867414	-1.014254813
+-130	25	1.78223649335725	-0.7857058852	1.299534500	-1.078835334
+-130	20	1.83866785164177	-0.8567518543	1.193817290	-1.138449981
+-130	15	1.89460683105784	-0.9217121801	1.080946631	-1.192958166
+-130	10	1.95006339305299	-0.9803913498	0.9610329370	-1.242195836
+-130	5	2.00507453863758	-1.032538208	0.8340797196	-1.285952245
+-130	-2.84217e-14	2.05967793367597	-1.077804836	0.7000000000	-1.323935456
+-130	-5	2.11390724828932	-1.115722290	0.5586426162	-1.355751978
+-130	-10	2.16777439286229	-1.145666736	0.4098245531	-1.380878351
+-130	-15	2.22124779559908	-1.166823424	0.2533760095	-1.398630921
+-130	-20	2.27423557472938	-1.178157004	0.08920080213	-1.408140923
+-130	-25	2.32656171598623	-1.178382247	-0.08264249509	-1.408329924
+-130	-30	2.37793272308236	-1.165939089	-0.2618303813	-1.397888875
+-130	-35	2.42789989476980	-1.138984997	-0.4476296498	-1.375271706
+-130	-40	2.47581737378968	-1.095417898	-0.6387145698	-1.338714570
+-130	-45	2.52079611346832	-1.032947547	-0.8329475469	-1.286295721
+
+-125	45	1.55337564486214	-0.4843543782	1.684354378	-0.6892523559
+-125	40	1.61382788568212	-0.5894352349	1.614144704	-0.7628307638
+-125	35	1.67502549854380	-0.6902141173	1.533396897	-0.8333968970
+-125	30	1.73661397228437	-0.7859842501	1.442463353	-0.9004558660
+-125	25	1.79831321160433	-0.8761167942	1.341693800	-0.9635673527
+-125	20	1.85990501259993	-0.9600339632	1.231408904	-1.022326787
+-125	15	1.92122450893228	-1.037182594	1.111886835	-1.076346840
+-125	10	1.98214002909116	-1.106997584	0.9833570319	-1.125231822
+-125	5	2.04254409696302	-1.168873918	0.8460075487	-1.168558098
+-125	-2.84217e-14	2.10233214929717	-1.222129678	0.7000000000	-1.205848182
+-125	-5	2.16139038457246	-1.265978049	0.5454969406	-1.236551143
+-125	-10	2.21957776964882	-1.299497543	0.3827000314	-1.260021745
+-125	-15	2.27670474583507	-1.321604342	0.2119025876	-1.275501092
+-125	-20	2.33251284579793	-1.331033279	0.03355838839	-1.282103305
+-125	-25	2.38665303541975	-1.326329976	-0.1516316540	-1.278810016
+-125	-30	2.43865949033153	-1.305857690	-0.3426124233	-1.264475167
+-125	-35	2.48792202279414	-1.267829753	-0.5378477197	-1.237847720
+-125	-40	2.53366261294216	-1.210381478	-0.7351804671	-1.197622004
+-125	-45	2.57491670074782	-1.131691945	-0.9316919455	-1.142523000
+
+-120	45	1.55380956626104	-0.5172071361	1.717207136	-0.5872848139
+-120	40	1.61679919733271	-0.6327019285	1.650449770	-0.6539657633
+-120	35	1.68124309601863	-0.7449814275	1.571745380	-0.7187903623
+-120	30	1.74670773839791	-0.8529939963	1.481151448	-0.7811514480
+-120	25	1.81280365427372	-0.9557145044	1.378810821	-0.8404571610
+-120	20	1.87918560247567	-1.052141040	1.264933138	-0.8961290474
+-120	15	1.94553780370548	-1.141275191	1.139778362	-0.9475906735
+-120	10	2.01157503056325	-1.222112328	1.003654867	-0.9942620159
+-120	5	2.07702749958986	-1.293617636	0.8569212099	-1.035545625
+-120	-2.84217e-14	2.14162291720483	-1.354699852	0.7000000000	-1.070811459
+-120	-5	2.20508026089225	-1.404197632	0.5334042941	-1.099389015
+-120	-10	2.26708870862772	-1.440857961	0.3577743757	-1.120554866
+-120	-15	2.32729271073507	-1.463327457	0.1739279934	-1.133527636
+-120	-20	2.38527246462256	-1.470150942	-0.01707629979	-1.137467177
+-120	-25	2.44052673748426	-1.459787626	-0.2138639784	-1.131483913
+-120	-30	2.49245654610422	-1.430648539	-0.4146604536	-1.114660454
+-120	-35	2.54035112446696	-1.381161610	-0.6172035399	-1.086089162
+-120	-40	2.58338371274198	-1.309874546	-0.8186650641	-1.044931556
+-120	-45	2.62060916927705	-1.215591412	-1.015591412	-0.9904971636
+
+-115	45	1.55426163399452	-0.5437534183	1.743753418	-0.4867102122
+-115	40	1.61938312137494	-0.6682234189	1.680255840	-0.5447515266
+-115	35	1.68661160235867	-0.7906397708	1.603715697	-0.6018352091
+-115	30	1.75546574873914	-0.9096711171	1.513873999	-0.6573404374
+-115	25	1.82546790676304	-1.023931878	1.410621105	-0.7106211052
+-115	20	1.89615352199898	-1.131999185	1.293999126	-0.7610137179
+-115	15	1.96706366066521	-1.232413649	1.164198838	-0.8078377516
+-115	10	2.03775357276985	-1.323691904	1.021566087	-0.8504015011
+-115	5	2.10778285752930	-1.404322999	0.8666066741	-0.8880003980
+-115	-2.84217e-14	2.17669769144879	-1.472758068	0.7000000000	-0.9199121947
+-115	-5	2.24404012813085	-1.527427641	0.5226230653	-0.9454050353
+-115	-10	2.30932662406404	-1.566736786	0.3355785427	-0.9637351905
+-115	-15	2.37203821884685	-1.589079000	0.1402329689	-0.9741535364
+-115	-20	2.43160844205448	-1.592859544	-0.06173857843	-0.9759164327
+-115	-25	2.48741378317606	-1.576535634	-0.2683044687	-0.9683044687
+-115	-30	2.53876660189447	-1.538676035	-0.4770301574	-0.9506502475
+-115	-35	2.58491459259760	-1.478044959	-0.6850419910	-0.9223775124
+-115	-40	2.62504673536052	-1.393709420	-0.8890108760	-0.8830512050
+-115	-45	2.65830590357385	-1.285166547	-1.085166547	-0.8324368318
+
+-110	45	1.55468123749094	-0.5646318418	1.764631842	-0.3874943009
+-110	40	1.62153498465040	-0.6965296480	1.704007586	-0.4355011763
+-110	35	1.69106662372740	-0.8274950537	1.629522044	-0.4831686857
+-110	30	1.76277053806773	-0.9559863022	1.540614084	-0.5299356755
+-110	25	1.83610257553197	-1.080313973	1.436912508	-0.5751872471
+-110	20	1.91049393113286	-1.198670765	1.318265596	-0.6182655961
+-110	15	1.98535595148192	-1.309156970	1.184762149	-0.6584792862
+-110	10	2.06009456816234	-1.409816902	1.036752248	-0.6951165051
+-110	5	2.13409572145382	-1.498651048	0.8748593090	-0.7274494900
+-110	-2.84217e-14	2.20673309909732	-1.573650809	0.7000000000	-0.7547471708
+-110	-5	2.27737146925712	-1.632833512	0.5134012465	-0.7762879130
+-110	-10	2.34536310767003	-1.674275964	0.3166164840	-0.7913717320
+-110	-15	2.41003999538036	-1.696150596	0.1115432214	-0.7993334469
+-110	-20	2.47071247010814	-1.696775908	-0.09956104191	-0.7995610419
+-110	-25	2.52666717233363	-1.674675583	-0.3140678782	-0.7915171813
+-110	-30	2.57716696124829	-1.628649029	-0.5289760899	-0.7747648857
+-110	-35	2.62146199296267	-1.557859685	-0.7409288638	-0.7489996715
+-110	-40	2.65880255402792	-1.461928737	-0.9462536794	-0.7140836619
+-110	-45	2.68845079491733	-1.341027120	-1.141027120	-0.6700790722
+
+-105	45	1.55503412806613	-0.5803546588	1.780354659	-0.2894801584
+-105	40	1.62322660273155	-0.7180685694	1.722080887	-0.3263804895
+-105	35	1.69456625957402	-0.8558320473	1.649363820	-0.3632941022
+-105	30	1.76853459651238	-0.9919535116	1.561379762	-0.3997677386
+-105	25	1.84454098762360	-1.124506642	1.457519888	-0.4352852429
+-105	20	1.92193745008945	-1.251366817	1.337445391	-0.4692773243
+-105	15	2.00002421097219	-1.370248893	1.201131681	-0.5011316805
+-105	10	2.07807258829237	-1.478768613	1.048910295	-0.5302094520
+-105	5	2.15531862684543	-1.574483613	0.8814937988	-0.5558562087
+-105	-2.84217e-14	2.23097538967834	-1.654956747	0.7000000000	-0.5774189200
+-105	-5	2.30425401395041	-1.717833193	0.5059647380	-0.5942666129
+-105	-10	2.37436046539660	-1.760897907	0.3013426983	-0.6058057684
+-105	-15	2.44050089643033	-1.782144424	0.08850124470	-0.6114987553
+-105	-20	2.50188877646764	-1.779847861	-0.1297967599	-0.6108833931
+-105	-25	2.55774981734550	-1.752637158	-0.3504219578	-0.6035923073
+-105	-30	2.60733128295500	-1.699570803	-0.5699227955	-0.5893732205
+-105	-35	2.64991325359016	-1.620210580	-0.7845874306	-0.5681087127
+-105	-40	2.68482274578376	-1.514689875	-0.9905255309	-0.5398345249
+-105	-45	2.71144639140051	-1.383768136	-1.183768136	-0.5047541508
+
+-100	45	1.55529864361744	-0.5913123765	1.791312377	-0.1924278164
+-100	40	1.62444341919950	-0.7331968256	1.734775002	-0.2174458729
+-100	35	1.69708268890874	-0.8758905730	1.663408951	-0.2426066305
+-100	30	1.77269374969550	-1.017605713	1.576190067	-0.2675948334
+-100	25	1.85065688073817	-1.156249321	1.472321742	-0.2920414421
+-100	20	1.93026759864693	-1.289460417	1.351310327	-0.3155301524
+-100	15	2.01074477696359	-1.414658168	1.213031110	-0.3376058938
+-100	10	2.09125007390533	-1.529113859	1.057787520	-0.3577875203
+-100	5	2.17090079231180	-1.630028457	0.8863533430	-0.3755814867
+-100	-2.84217e-14	2.24878606266704	-1.714621949	0.7000000000	-0.3904976017
+-100	-5	2.32399270306915	-1.780238051	0.5005050204	-0.4020674909
+-100	-10	2.39561160661316	-1.824432057	0.2901399135	-0.4098600865
+-100	-15	2.46275505957040	-1.845068426	0.07164080899	-0.4134988352
+-100	-20	2.52456907446593	-1.840409398	-0.1518393568	-0.4126773227
+-100	-25	2.58024359298514	-1.809194504	-0.3767950816	-0.4071732948
+-100	-30	2.62902634702422	-1.750713303	-0.5994499315	-0.3968614812
+-100	-35	2.67023551648624	-1.664863208	-0.8158535378	-0.3817237932
+-100	-40	2.70327101778789	-1.552189198	-1.021991199	-0.3618563252
+-100	-45	2.72762422395872	-1.413902572	-1.213902572	-0.3374726619
+
+-95	45	1.55546215130979	-0.5977791676	1.797779168	-0.09604323222
+-95	40	1.62517594695039	-0.7421703957	1.742304721	-0.1086758278
+-95	35	1.69859764223989	-0.8878502340	1.671783196	-0.1214211621
+-95	30	1.77520454059603	-1.032978342	1.585065458	-0.1341182263
+-95	25	1.85436123052176	-1.175363630	1.481234891	-0.1465753249
+-95	20	1.93532895717316	-1.312499415	1.359695837	-0.1585731515
+-95	15	2.01727545049953	-1.441617732	1.220254903	-0.1698695405
+-95	10	2.09929466217037	-1.559770482	1.063193110	-0.1802065666
+-95	5	2.18042477854751	-1.663924434	0.8893188567	-0.1893188567
+-95	-2.84217e-14	2.25967675279783	-1.751078001	0.7000000000	-0.1969438058
+-95	-5	2.33605627167833	-1.818378187	0.4971681909	-0.2028318091
+-95	-10	2.40858167397307	-1.863234435	0.2832980074	-0.2067562223
+-95	-15	2.47630801667861	-1.883434327	0.06136069689	-0.2085234839
+-95	-20	2.53834162209993	-1.877240670	-0.1652448435	-0.2079816091
+-95	-25	2.59385417426168	-1.843474871	-0.3927802789	-0.2050274845
+-95	-30	2.64209929887357	-1.781585535	-0.6172740231	-0.1996128692
+-95	-35	2.68242436406382	-1.691692246	-0.8346394320	-0.1917482255
+-95	-40	2.71428128282536	-1.574606052	-1.040801173	-0.1815045108
+-95	-45	2.73723014323897	-1.431820858	-1.231820858	-0.1690124251
+
+-90	45	1.55551679343664	-0.5999164729	1.799916473	-3.537601186e-16
+-90	40	1.62541979282454	-0.7451438000	1.744799703	-4.004687894e-16
+-90	35	1.69910274538201	-0.8918234873	1.674565298	-4.476445749e-16
+-90	30	1.77604343562851	-1.038098733	1.588021718	-4.946902821e-16
+-90	25	1.85560152195800	-1.181746109	1.484211090	-5.408908018e-16
+-90	20	1.93702664603290	-1.320209646	1.362502131	-5.854240716e-16
+-90	15	2.01946871420484	-1.450656986	1.222676964	-6.273791363e-16
+-90	10	2.10199917285749	-1.570065082	1.065008326	-6.657837090e-16
+-90	5	2.18362854140940	-1.675319176	0.8903157674	-6.996360073e-16
+-90	-2.84217e-14	2.26334096748998	-1.763340967	0.7000000000	-7.279459748e-16
+-90	-5	2.34011387293235	-1.831209033	0.4960456373	-7.497740095e-16
+-90	-10	2.41294103634449	-1.876283040	0.2809971862	-7.642709158e-16
+-90	-15	2.48085837653059	-1.896325177	0.05790660395	-7.707169587e-16
+-90	-20	2.54295896706519	-1.889599776	-0.1697431904	-7.685539048e-16
+-90	-25	2.59840902312262	-1.854958332	-0.3981351046	-7.574123664e-16
+-90	-30	2.64646510035533	-1.791906007	-0.6232325502	-7.371331922e-16
+-90	-35	2.68648555300115	-1.700640133	-0.8409048098	-7.077798482e-16
+-90	-40	2.71794086878992	-1.582063499	-1.047058714	-6.696426942e-16
+-90	-45	2.74041492745731	-1.437765978	-1.237765978	-6.232330720e-16
+
+-85	45	1.55546215130979	-0.5977791676	1.797779168	0.09604323222
+-85	40	1.62517594695039	-0.7421703957	1.742304721	0.1086758278
+-85	35	1.69859764223989	-0.8878502340	1.671783196	0.1214211621
+-85	30	1.77520454059603	-1.032978342	1.585065458	0.1341182263
+-85	25	1.85436123052176	-1.175363630	1.481234891	0.1465753249
+-85	20	1.93532895717316	-1.312499415	1.359695837	0.1585731515
+-85	15	2.01727545049952	-1.441617732	1.220254903	0.1698695405
+-85	10	2.09929466217037	-1.559770482	1.063193110	0.1802065666
+-85	5	2.18042477854751	-1.663924434	0.8893188567	0.1893188567
+-85	-2.84217e-14	2.25967675279783	-1.751078001	0.7000000000	0.1969438058
+-85	-5	2.33605627167833	-1.818378187	0.4971681909	0.2028318091
+-85	-10	2.40858167397307	-1.863234435	0.2832980074	0.2067562223
+-85	-15	2.47630801667861	-1.883434327	0.06136069689	0.2085234839
+-85	-20	2.53834162209993	-1.877240670	-0.1652448435	0.2079816091
+-85	-25	2.59385417426168	-1.843474871	-0.3927802789	0.2050274845
+-85	-30	2.64209929887357	-1.781585535	-0.6172740231	0.1996128692
+-85	-35	2.68242436406382	-1.691692246	-0.8346394320	0.1917482255
+-85	-40	2.71428128282536	-1.574606052	-1.040801173	0.1815045108
+-85	-45	2.73723014323897	-1.431820858	-1.231820858	0.1690124251
+
+-80	45	1.55529864361744	-0.5913123765	1.791312377	0.1924278164
+-80	40	1.62444341919950	-0.7331968256	1.734775002	0.2174458729
+-80	35	1.69708268890874	-0.8758905730	1.663408951	0.2426066305
+-80	30	1.77269374969550	-1.017605713	1.576190067	0.2675948334
+-80	25	1.85065688073817	-1.156249321	1.472321742	0.2920414421
+-80	20	1.93026759864693	-1.289460417	1.351310327	0.3155301524
+-80	15	2.01074477696359	-1.414658168	1.213031110	0.3376058938
+-80	10	2.09125007390533	-1.529113859	1.057787520	0.3577875203
+-80	5	2.17090079231180	-1.630028457	0.8863533430	0.3755814867
+-80	-2.84217e-14	2.24878606266704	-1.714621949	0.7000000000	0.3904976017
+-80	-5	2.32399270306915	-1.780238051	0.5005050204	0.4020674909
+-80	-10	2.39561160661316	-1.824432057	0.2901399135	0.4098600865
+-80	-15	2.46275505957039	-1.845068426	0.07164080899	0.4134988352
+-80	-20	2.52456907446593	-1.840409398	-0.1518393568	0.4126773227
+-80	-25	2.58024359298514	-1.809194504	-0.3767950816	0.4071732948
+-80	-30	2.62902634702422	-1.750713303	-0.5994499315	0.3968614812
+-80	-35	2.67023551648624	-1.664863208	-0.8158535378	0.3817237932
+-80	-40	2.70327101778789	-1.552189198	-1.021991199	0.3618563252
+-80	-45	2.72762422395871	-1.413902572	-1.213902572	0.3374726619
+
+-75	45	1.55503412806613	-0.5803546588	1.780354659	0.2894801584
+-75	40	1.62322660273155	-0.7180685694	1.722080887	0.3263804895
+-75	35	1.69456625957402	-0.8558320473	1.649363820	0.3632941022
+-75	30	1.76853459651238	-0.9919535116	1.561379762	0.3997677386
+-75	25	1.84454098762360	-1.124506642	1.457519888	0.4352852429
+-75	20	1.92193745008945	-1.251366817	1.337445391	0.4692773243
+-75	15	2.00002421097219	-1.370248893	1.201131681	0.5011316805
+-75	10	2.07807258829237	-1.478768613	1.048910295	0.5302094520
+-75	5	2.15531862684543	-1.574483613	0.8814937988	0.5558562087
+-75	-2.84217e-14	2.23097538967834	-1.654956747	0.7000000000	0.5774189200
+-75	-5	2.30425401395041	-1.717833193	0.5059647380	0.5942666129
+-75	-10	2.37436046539660	-1.760897907	0.3013426983	0.6058057684
+-75	-15	2.44050089643033	-1.782144424	0.08850124470	0.6114987553
+-75	-20	2.50188877646764	-1.779847861	-0.1297967599	0.6108833931
+-75	-25	2.55774981734550	-1.752637158	-0.3504219578	0.6035923073
+-75	-30	2.60733128295500	-1.699570803	-0.5699227955	0.5893732205
+-75	-35	2.64991325359015	-1.620210580	-0.7845874306	0.5681087127
+-75	-40	2.68482274578376	-1.514689875	-0.9905255309	0.5398345249
+-75	-45	2.71144639140051	-1.383768136	-1.183768136	0.5047541508
+
+-70	45	1.55468123749094	-0.5646318418	1.764631842	0.3874943009
+-70	40	1.62153498465040	-0.6965296480	1.704007586	0.4355011763
+-70	35	1.69106662372740	-0.8274950537	1.629522044	0.4831686857
+-70	30	1.76277053806773	-0.9559863022	1.540614084	0.5299356755
+-70	25	1.83610257553197	-1.080313973	1.436912508	0.5751872471
+-70	20	1.91049393113286	-1.198670765	1.318265596	0.6182655961
+-70	15	1.98535595148192	-1.309156970	1.184762149	0.6584792862
+-70	10	2.06009456816234	-1.409816902	1.036752248	0.6951165051
+-70	5	2.13409572145382	-1.498651048	0.8748593090	0.7274494900
+-70	-2.84217e-14	2.20673309909732	-1.573650809	0.7000000000	0.7547471708
+-70	-5	2.27737146925712	-1.632833512	0.5134012465	0.7762879130
+-70	-10	2.34536310767003	-1.674275964	0.3166164840	0.7913717320
+-70	-15	2.41003999538036	-1.696150596	0.1115432214	0.7993334469
+-70	-20	2.47071247010814	-1.696775908	-0.09956104191	0.7995610419
+-70	-25	2.52666717233363	-1.674675583	-0.3140678782	0.7915171813
+-70	-30	2.57716696124829	-1.628649029	-0.5289760899	0.7747648857
+-70	-35	2.62146199296266	-1.557859685	-0.7409288638	0.7489996715
+-70	-40	2.65880255402792	-1.461928737	-0.9462536794	0.7140836619
+-70	-45	2.68845079491733	-1.341027120	-1.141027120	0.6700790722
+
+-65	45	1.55426163399452	-0.5437534183	1.743753418	0.4867102122
+-65	40	1.61938312137494	-0.6682234189	1.680255840	0.5447515266
+-65	35	1.68661160235867	-0.7906397708	1.603715697	0.6018352091
+-65	30	1.75546574873914	-0.9096711171	1.513873999	0.6573404374
+-65	25	1.82546790676304	-1.023931878	1.410621105	0.7106211052
+-65	20	1.89615352199898	-1.131999185	1.293999126	0.7610137179
+-65	15	1.96706366066521	-1.232413649	1.164198838	0.8078377516
+-65	10	2.03775357276984	-1.323691904	1.021566087	0.8504015011
+-65	5	2.10778285752930	-1.404322999	0.8666066741	0.8880003980
+-65	-2.84217e-14	2.17669769144878	-1.472758068	0.7000000000	0.9199121947
+-65	-5	2.24404012813085	-1.527427641	0.5226230653	0.9454050353
+-65	-10	2.30932662406404	-1.566736786	0.3355785427	0.9637351905
+-65	-15	2.37203821884685	-1.589079000	0.1402329689	0.9741535364
+-65	-20	2.43160844205447	-1.592859544	-0.06173857843	0.9759164327
+-65	-25	2.48741378317605	-1.576535634	-0.2683044687	0.9683044687
+-65	-30	2.53876660189447	-1.538676035	-0.4770301574	0.9506502475
+-65	-35	2.58491459259760	-1.478044959	-0.6850419910	0.9223775124
+-65	-40	2.62504673536052	-1.393709420	-0.8890108760	0.8830512050
+-65	-45	2.65830590357385	-1.285166547	-1.085166547	0.8324368318
+
+-60	45	1.55380956626104	-0.5172071361	1.717207136	0.5872848139
+-60	40	1.61679919733271	-0.6327019285	1.650449770	0.6539657633
+-60	35	1.68124309601863	-0.7449814275	1.571745380	0.7187903623
+-60	30	1.74670773839791	-0.8529939963	1.481151448	0.7811514480
+-60	25	1.81280365427372	-0.9557145044	1.378810821	0.8404571610
+-60	20	1.87918560247567	-1.052141040	1.264933138	0.8961290474
+-60	15	1.94553780370548	-1.141275191	1.139778362	0.9475906735
+-60	10	2.01157503056325	-1.222112328	1.003654867	0.9942620159
+-60	5	2.07702749958986	-1.293617636	0.8569212099	1.035545625
+-60	-2.84217e-14	2.14162291720482	-1.354699852	0.7000000000	1.070811459
+-60	-5	2.20508026089225	-1.404197632	0.5334042941	1.099389015
+-60	-10	2.26708870862771	-1.440857961	0.3577743757	1.120554866
+-60	-15	2.32729271073507	-1.463327457	0.1739279934	1.133527636
+-60	-20	2.38527246462256	-1.470150942	-0.01707629979	1.137467177
+-60	-25	2.44052673748426	-1.459787626	-0.2138639784	1.131483913
+-60	-30	2.49245654610422	-1.430648539	-0.4146604536	1.114660454
+-60	-35	2.54035112446696	-1.381161610	-0.6172035399	1.086089162
+-60	-40	2.58338371274197	-1.309874546	-0.8186650641	1.044931556
+-60	-45	2.62060916927705	-1.215591412	-1.015591412	0.9904971636
+
+-55	45	1.55337564486214	-0.4843543782	1.684354378	0.6892523559
+-55	40	1.61382788568211	-0.5894352349	1.614144704	0.7628307638
+-55	35	1.67502549854380	-0.6902141173	1.533396897	0.8333968970
+-55	30	1.73661397228437	-0.7859842501	1.442463353	0.9004558660
+-55	25	1.79831321160433	-0.8761167942	1.341693800	0.9635673527
+-55	20	1.85990501259993	-0.9600339632	1.231408904	1.022326787
+-55	15	1.92122450893228	-1.037182594	1.111886835	1.076346840
+-55	10	1.98214002909116	-1.106997584	0.9833570319	1.125231822
+-55	5	2.04254409696302	-1.168873918	0.8460075487	1.168558098
+-55	-2.84217e-14	2.10233214929716	-1.222129678	0.7000000000	1.205848182
+-55	-5	2.16139038457246	-1.265978049	0.5454969406	1.236551143
+-55	-10	2.21957776964882	-1.299497543	0.3827000314	1.260021745
+-55	-15	2.27670474583507	-1.321604342	0.2119025876	1.275501092
+-55	-20	2.33251284579792	-1.331033279	0.03355838839	1.282103305
+-55	-25	2.38665303541974	-1.326329976	-0.1516316540	1.278810016
+-55	-30	2.43865949033153	-1.305857690	-0.3426124233	1.264475167
+-55	-35	2.48792202279413	-1.267829753	-0.5378477197	1.237847720
+-55	-40	2.53366261294216	-1.210381478	-0.7351804671	1.197622004
+-55	-45	2.57491670074782	-1.131691945	-0.9316919455	1.142523000
+
+-50	45	1.55303673364041	-0.4444333234	1.644433323	0.7924736534
+-50	40	1.61053559442841	-0.5378299062	1.570842692	0.8708426915
+-50	35	1.66805237182069	-0.6260401704	1.488461816	0.9448598917
+-50	30	1.72533722358359	-0.7087418176	1.397867414	1.014254813
+-50	25	1.78223649335725	-0.7857058852	1.299534500	1.078835334
+-50	20	1.83866785164177	-0.8567518543	1.193817290	1.138449981
+-50	15	1.89460683105784	-0.9217121801	1.080946631	1.192958166
+-50	10	1.95006339305299	-0.9803913498	0.9610329370	1.242195836
+-50	5	2.00507453863757	-1.032538208	0.8340797196	1.285952245
+-50	-2.84217e-14	2.05967793367596	-1.077804836	0.7000000000	1.323935456
+-50	-5	2.11390724828931	-1.115722290	0.5586426162	1.355751978
+-50	-10	2.16777439286229	-1.145666736	0.4098245531	1.380878351
+-50	-15	2.22124779559908	-1.166823424	0.2533760095	1.398630921
+-50	-20	2.27423557472937	-1.178157004	0.08920080213	1.408140923
+-50	-25	2.32656171598623	-1.178382247	-0.08264249509	1.408329924
+-50	-30	2.37793272308235	-1.165939089	-0.2618303813	1.397888875
+-50	-35	2.42789989476979	-1.138984997	-0.4476296498	1.375271706
+-50	-40	2.47581737378968	-1.095417898	-0.6387145698	1.338714570
+-50	-45	2.52079611346832	-1.032947547	-0.8329475469	1.286295721
+
+-45	45	1.55290146873876	-0.3965680810	1.596568081	0.8965680810
+-45	40	1.60702414154437	-0.4772641676	1.520022003	0.9772641676
+-45	35	1.66045119458566	-0.5522067915	1.436763127	1.052206791
+-45	30	1.71306614731503	-0.6214650415	1.347478144	1.121465042
+-45	25	1.76485113470603	-0.6851733095	1.252655390	1.185173309
+-45	20	1.81585748945665	-0.7434830091	1.152590802	1.243483009
+-45	15	1.86618667044530	-0.7965268267	1.047403316	1.296526827
+-45	10	1.91596984733040	-0.8443859262	0.9370515113	1.344385926
+-45	5	1.96535845347529	-0.8870665804	0.8213526013	1.387066580
+-45	-2.84217e-14	2.01450575522688	-0.9244706803	0.7000000000	1.424470680
+-45	-5	2.06356416817192	-0.9563760056	0.5725836097	1.456376006
+-45	-10	2.11267147985883	-0.9824063166	0.4386117700	1.482406317
+-45	-15	2.16193548883482	-1.001997310	0.2975410338	1.501997310
+-45	-20	2.21142352795428	-1.014363103	0.1488169065	1.514363103
+-45	-25	2.26113615454638	-1.018450008	-0.008064867226	1.518450008
+-45	-30	2.31097638115934	-1.012889171	-0.1734669700	1.512889171
+-45	-35	2.36070954656283	-0.9959515978	-0.3474765856	1.495951598
+-45	-40	2.40990806699342	-0.9655142635	-0.5297124780	1.465514263
+-45	-45	2.45787910891999	-0.9190571652	-0.7190571652	1.419057165
 
 
 ### -y patch
-# N_rho = 10
+# N_rho = 19
 # 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	2.74021038021193	-1.437621342	-1.237621342	2.372901774e-16
--40	-90	2.75341133816037	-1.269858693	-1.409235455	2.583068449e-16
--35	-90	2.75714212437870	-1.081431754	-1.558518608	2.765887584e-16
--30	-90	2.75137262698023	-0.8756863135	-1.682758590	2.918037681e-16
--25	-90	2.73617658915646	-0.6563581939	-1.779818149	3.036901359e-16
--20	-90	2.71175869988538	-0.4274760992	-1.848219640	3.120669025e-16
--15	-90	2.67843492246158	-0.1932299690	-1.887169466	3.168368805e-16
--10	-90	2.63663969971860	0.04215232098	-1.896583218	3.179897327e-16
--5	-90	2.58692804919565	0.2745343644	-1.877084007	3.156017680e-16
--2.84217e-14	-90	2.52996896896653	0.5000000000	-1.829968969	3.098318400e-16
-5	-90	2.46652721172610	0.7149720111	-1.757141331	3.009130266e-16
-10	-90	2.39745858604508	0.9163143145	-1.661035803	2.891434939e-16
-15	-90	2.32368923036452	1.101415028	-1.544511440	2.748733750e-16
-20	-90	2.24620066398980	1.268245873	-1.410738189	2.584908767e-16
-25	-90	2.16600521497660	1.415393359	-1.263067393	2.404064199e-16
-30	-90	2.08410624180553	1.542053121	-1.104888950	2.210351475e-16
-35	-90	2.00152630516873	1.648028325	-0.9395543646	2.007875005e-16
-40	-90	1.91923498891290	1.733660471	-0.7702192983	1.800499358e-16
-45	-90	1.83814474805810	1.799764616	-0.5997646162	1.591752577e-16
-
--45	-85	2.73703191238987	-1.431680955	-1.231680955	0.1690001851
--40	-85	2.74963780342585	-1.263477037	-1.401630094	0.1838688082
--35	-85	2.75281461643441	-1.074910337	-1.549205059	0.1967799446
--30	-85	2.74656240659333	-0.8693562965	-1.671794679	0.2075051466
--25	-85	2.73098143009113	-0.6505514375	-1.767365520	0.2158665118
--20	-85	2.70629711562684	-0.4224958547	-1.834536530	0.2217432137
--15	-85	2.67284167407638	-0.1893252909	-1.872597009	0.2250730741
--10	-85	2.63105601672085	0.04480834232	-1.881520173	0.2258537498
--5	-85	2.58149527656387	0.2758575581	-1.861959835	0.2241424419
--2.84217e-14	-85	2.52481717292673	0.5000000000	-1.815209481	0.2200523160
-5	-85	2.46176968015464	0.7137470762	-1.743140261	0.2137470762
-10	-85	2.39318449024113	0.9140381688	-1.648127139	0.2054345052
-15	-85	2.31996097435856	1.098317435	-1.532951065	0.1953579044
-20	-85	2.24304949829876	1.264588578	-1.400689854	0.1837865478
-25	-85	2.16343282529176	1.411445504	-1.254601192	0.1710054460
-30	-85	2.08208701374051	1.538068152	-1.097986781	0.1573034605
-35	-85	2.00001139584359	1.644224752	-0.9341222987	0.1429671760
-40	-85	1.91815920544591	1.730209196	-0.7661062291	0.1282676746
-45	-85	1.83743238887157	1.796781794	-0.5967817936	0.1134537060
-
--45	-80	2.72743714849318	-1.413771306	-1.213771306	0.3374495161
--40	-80	2.73827805526234	-1.244290780	-1.378764804	0.3665423214
--35	-80	2.73982453658584	-1.055358204	-1.521281719	0.3916718987
--30	-80	2.73215924844777	-0.8504254730	-1.639005531	0.4124297832
--25	-80	2.71545861082674	-0.6332234229	-1.730205473	0.4285107935
--20	-80	2.69000853186296	-0.4076618900	-1.793780547	0.4397207944
--15	-80	2.65618441540224	-0.1777116888	-1.829254455	0.4459758016
--10	-80	2.61444706191049	0.05269982161	-1.836765370	0.4473001784
--5	-80	2.56534508552605	0.2797869740	-1.817046405	0.4438231929
--2.84217e-14	-80	2.50950640082394	0.5000000000	-1.771381360	0.4357712133
-5	-80	2.44762716842785	0.7101079454	-1.701544806	0.4234571446
-10	-80	2.38047021115001	0.9072695774	-1.609740550	0.4072695774
-15	-80	2.30885633554707	1.089092729	-1.498523995	0.3876590981
-20	-80	2.23364722492136	1.253676592	-1.370709417	0.3651219394
-25	-80	2.15573935206305	1.399639684	-1.229283529	0.3401847396
-30	-80	2.07603226595226	1.526121320	-1.077294261	0.3133849309
-35	-80	1.99545737322119	1.632791883	-0.9177944697	0.2852608142
-40	-80	1.91491623302168	1.719806996	-0.7537093702	0.2563281841
-45	-80	1.83527858637437	1.787766979	-0.5877669790	0.2270680633
-
--45	-75	2.71126831191542	-1.383644416	-1.183644416	0.5047210001
--40	-75	2.71923649919107	-1.212194495	-1.340513941	0.5467540626
--35	-75	2.71816249244684	-1.022823385	-1.474817182	0.5827405076
--30	-75	2.70825380943445	-0.8190779672	-1.584710058	0.6121862151
--25	-75	2.68980479743656	-0.6046545687	-1.668939367	0.6347553904
--20	-75	2.66318869547902	-0.3832948016	-1.726832522	0.6502678145
--15	-75	2.62883894068998	-0.1586892644	-1.758261801	0.6586892644
--10	-75	2.58724013112917	0.06560000706	-1.763604782	0.6601209119
--5	-75	2.53892468317251	0.2862037288	-1.743702561	0.6547881279
--2.84217e-14	-75	2.48446866834808	0.5000000000	-1.699812451	0.6430278083
-5	-75	2.42448759948536	0.7041598208	-1.633557429	0.6252748287
-10	-75	2.35963941071545	0.8961856231	-1.546880321	0.6020497676
-15	-75	2.29061898371705	1.073943923	-1.441987880	0.5739439225
-20	-75	2.21815819842523	1.235692371	-1.321298177	0.5416052142
-25	-75	2.14301761471529	1.380098883	-1.187378146	0.5057214501
-30	-75	2.06598103698947	1.506253571	-1.042882310	0.4670039075
-35	-75	1.98786561205727	1.613681853	-0.8905025179	0.4261738652
-40	-75	1.90948628583504	1.702327164	-0.7328777168	0.3839384271
-45	-75	1.83165596278202	1.772536735	-0.5725367353	0.3409751906
-
--45	-70	2.68827775779989	-1.340908626	-1.140908626	0.6700359438
--40	-70	2.69237333874435	-1.167039739	-1.286700598	0.7230998820
--35	-70	2.68782697836886	-0.9774074484	-1.409956503	0.7679613625
--30	-70	2.67500588695892	-0.7756326326	-1.509460531	0.8041778672
--25	-70	2.65434670755056	-0.5653115548	-1.584568002	0.8315147508
--20	-70	2.62631822237745	-0.3499174872	-1.635129105	0.8499174872
--15	-70	2.59140905013908	-0.1327414585	-1.661423271	0.8594877812
--10	-70	2.55011664077930	0.08314655811	-1.664093346	0.8604596091
--5	-70	2.50294176206954	0.2949189146	-1.644087533	0.8531780885
--2.84217e-14	-70	2.45038872461734	0.5000000000	-1.602612203	0.8380823028
-5	-70	2.39296952804562	0.6960703983	-1.541094908	0.8156918386
-10	-70	2.33120822018020	0.8810696949	-1.461153633	0.7865955940
-15	-70	2.26564832044206	1.053200824	-1.364573583	0.7514433307
-20	-70	2.19686207895080	1.210938790	-1.253288271	0.7109387895
-25	-70	2.12543862860328	1.353036389	-1.129342439	0.6658261962
-30	-70	2.05201060401390	1.478544272	-0.9948883970	0.6168889269
-35	-70	1.97724346338453	1.586823759	-0.8521451851	0.5649346466
-40	-70	1.90183263158254	1.677559786	-0.7033611058	0.5107816704
-45	-70	1.82651017223316	1.750777871	-0.5507778712	0.4552459148
-
--45	-65	2.65813697936361	-1.285053107	-1.085053107	0.8323839339
--40	-65	2.65752151390322	-1.108668727	-1.217136734	0.8939755409
--35	-65	2.64884461044551	-0.9192968014	-1.326965898	0.9451897210
--30	-65	2.63266712942261	-0.7205645858	-1.414079876	0.9858116363
--25	-65	2.60955198676185	-0.5158506265	-1.478498699	1.015850627
--20	-65	2.58005569897185	-0.3082419548	-1.520626520	1.035495152
--15	-65	2.54470073724852	-0.1005129114	-1.541144696	1.045062935
--10	-65	2.50397422588363	0.1048623322	-1.540937072	1.044966118
--5	-65	2.45832370863036	0.3056853269	-1.521026877	1.035681842
--2.84217e-14	-65	2.40816326933419	0.5000000000	-1.482537123	1.017733775
-5	-65	2.35388338849035	0.6860593377	-1.426667962	0.9916815569
-10	-65	2.29586317826532	0.8622968689	-1.354687646	0.9581165845
-15	-65	2.23448727555221	1.027306979	-1.267936438	0.9176638320
-20	-65	2.17014438078432	1.179830958	-1.167820205	0.8709788656
-25	-65	2.10324088018236	1.318753018	-1.055821514	0.8187530184
-30	-65	2.03422764707800	1.443114379	-0.9335220221	0.7617238287
-35	-65	1.96360037290528	1.552131075	-0.8025988981	0.7006733733
-40	-65	1.89191210336564	1.645224909	-0.6648258997	0.6364287691
-45	-65	1.81977755147681	1.722058757	-0.5220587566	0.5698553569
-
--45	-60	2.62044608060182	-1.215484646	-1.015484646	0.9904355219
--40	-60	2.61450242529158	-1.036958476	-1.131675785	1.057518508
--35	-60	2.60130720476571	-0.8488100229	-1.226300346	1.112150023
--30	-60	2.58159358857932	-0.6545237509	-1.299693795	1.154523751
--25	-60	2.55603464111672	-0.4571163266	-1.352542586	1.185036015
--20	-60	2.52522962813732	-0.2591511430	-1.385750623	1.204208684
--15	-60	2.48969928292677	-0.06278313923	-1.400335269	1.212629133
--10	-60	2.44988797819730	0.1301801338	-1.397352684	1.210907136
--5	-60	2.40616667228846	0.3182120432	-1.377845855	1.199644863
--2.84217e-14	-60	2.35884495737414	0.5000000000	-1.342819657	1.179422479
-5	-60	2.30818820927467	0.6743855999	-1.293236527	1.150795646
-10	-60	2.25443181631263	0.8403150185	-1.230022377	1.114298939
-15	-60	2.19779309336065	0.9967993143	-1.154080282	1.070453750
-20	-60	2.13848192773881	1.142884505	-1.066310661	1.019779936
-25	-60	2.07672301423326	1.277636371	-0.9676465795	0.9628162016
-30	-60	2.01278291320903	1.400143884	-0.8590949405	0.9001438836
-35	-60	1.94697360037529	1.509529940	-0.7417581716	0.8323994685
-40	-60	1.87968388771073	1.604988871	-0.6168744567	0.7602978221
-45	-60	1.81137673847424	1.685824431	-0.4858244309	0.6846360544
-
--45	-55	2.57475906006893	-1.131592051	-0.9315920506	1.142453053
--40	-55	2.56316315396585	-0.9518909004	-1.030296197	1.211566440
--35	-55	2.54538392090787	-0.7664374740	-1.108660154	1.266437474
--30	-55	2.52227134168543	-0.5783594209	-1.167773306	1.307828948
--25	-55	2.49454511857590	-0.3901308878	-1.208891849	1.336620462
--20	-55	2.46279928745120	-0.2036668326	-1.233308733	1.353717349
--15	-55	2.42750991132928	-0.02042817961	-1.242264408	1.359988180
--10	-55	2.38904471606618	0.1584738666	-1.236890951	1.356225645
--5	-55	2.34767573959423	0.3321806709	-1.218183708	1.343126692
--2.84217e-14	-55	2.30359794911752	0.5000000000	-1.186996969	1.321289502
-5	-55	2.25694907342285	0.6613338984	-1.144054897	1.291221140
-10	-55	2.20782869146826	0.8156203779	-1.089972111	1.253351965
-15	-55	2.15630562112009	0.9622853253	-1.025272322	1.208048685
-20	-55	2.10242647513631	1.100701724	-0.9504144233	1.155632620
-25	-55	2.04625585246609	1.230167406	-0.8658490554	1.096419312
-30	-55	1.98788087507491	1.349888763	-0.7720505175	1.030740869
-35	-55	1.92743020052521	1.458979042	-0.6695640077	0.9589790422
-40	-55	1.86511246478907	1.556483592	-0.5590681163	0.8816089862
-45	-55	1.80122785621309	1.641415170	-0.4414151705	0.7992275066
-
--45	-50	2.52064290086322	-1.032854375	-0.8328543752	1.286217541
--40	-50	2.50343265839934	-0.8536466017	-0.9132132006	1.353646602
--35	-50	2.48135904350590	-0.6728989388	-0.9750732815	1.405553373
--30	-50	2.45530448344377	-0.4931258460	-1.020144424	1.443372551
--25	-50	2.42596134830559	-0.3160799817	-1.050089168	1.468499176
--20	-50	2.39385056912416	-0.1429246045	-1.066420833	1.482203070
--15	-50	2.35934933231562	0.02560807674	-1.070454760	1.485587936
--10	-50	2.32271723835756	0.1890841064	-1.063291655	1.479577377
--5	-50	2.28411537702142	0.3472607659	-1.045817434	1.464914765
--2.84217e-14	-50	2.24362416735139	0.5000000000	-1.018715826	1.442173816
-5	-50	2.20126449777616	0.6471989799	-0.9824920387	1.411778449
-10	-50	2.15701518575098	0.7887352335	-0.9374988802	1.374024706
-15	-50	2.11081968080785	0.9244203240	-0.8839582129	1.329098752
-20	-50	2.06260088869158	1.053959749	-0.8219919019	1.277102844
-25	-50	2.01227953605200	1.176919708	-0.7516589980	1.218086530
-30	-50	1.95978285374610	1.292696392	-0.6729904255	1.152075760
-35	-50	1.90508237602064	1.400502127	-0.5860503181	1.079124348
-40	-50	1.84819896434001	1.499351126	-0.4909802953	0.9993511265
-45	-50	1.78925360876848	1.588081625	-0.3880816246	0.9130088899
-
--45	-45	2.45773459865101	-0.9189737321	-0.7189737321	1.418973732
--40	-45	2.43537947678159	-0.7427098661	-0.7810039474	1.481003947
--35	-45	2.40968878665045	-0.5692092918	-0.8269891189	1.526989119
--30	-45	2.38146941802933	-0.4001108336	-0.8590376962	1.559037696
--25	-45	2.35129410163109	-0.2362974328	-0.8789949403	1.578994940
--20	-45	2.31954765583896	-0.07813233705	-0.8884055415	1.588405542
--15	-45	2.28646780152176	0.07435849844	-0.8885157096	1.588515710
--10	-45	2.25218361959025	0.2213507658	-0.8802983359	1.580298336
--5	-45	2.21674133655784	0.3631255651	-0.8644819498	1.564481950
--2.84217e-14	-45	2.18011562060363	0.5000000000	-0.8415745391	1.541574539
-5	-45	2.14222877815724	0.6322735985	-0.8118941486	1.511894149
-10	-45	2.10296455365423	0.7601872500	-0.7755952204	1.475595220
-15	-45	2.06216952775418	0.8838868554	-0.7326852487	1.432685249
-20	-45	2.01967243343773	1.003390366	-0.6830536645	1.383053664
-25	-45	1.97528656103149	1.118552321	-0.6264897332	1.326489733
-30	-45	1.92882093408462	1.229025788	-0.5627097046	1.262709705
-35	-45	1.88009885623778	1.334223564	-0.4913947195	1.191394719
-40	-45	1.82898296780026	1.433281733	-0.4122418584	1.112241858
-45	-45	1.77540706530278	1.525031747	-0.3250317471	1.025031747
+-45	-135	2.45787925876269	-0.9190572517	-0.7190572517	-1.419057252
+-40	-135	2.43552030104140	-0.7427817250	-0.7810895856	-1.481089586
+-35	-135	2.40982738859674	-0.5692707913	-0.8270769492	-1.527076949
+-30	-135	2.38160514900063	-0.4001621351	-0.8591265530	-1.559126553
+-25	-135	2.35142558114948	-0.2363386051	-0.8790832344	-1.579083234
+-20	-135	2.31967480993707	-0.07816402939	-0.8884926155	-1.588492615
+-15	-135	2.28659324925992	0.07433514549	-0.8886028640	-1.588602864
+-10	-135	2.25230960660890	0.2213351782	-0.8803867377	-1.580386738
+-5	-135	2.21686639000637	0.3631178436	-0.8645702072	-1.564570207
+-2.84217e-14	-135	2.18023909635535	0.5000000000	-0.8416618496	-1.541661850
+5	-135	2.14235147364238	0.6322811744	-0.8119807419	-1.511980742
+10	-135	2.10308614929662	0.7602022943	-0.7756805409	-1.475680541
+15	-135	2.06229232442751	0.8839097148	-0.7327705612	-1.432770561
+20	-135	2.01979625523952	1.003421228	-0.6831384565	-1.383138457
+25	-135	1.97540915283297	1.118590710	-0.6265720588	-1.326572059
+30	-135	1.92894020969864	1.229070870	-0.5627877889	-1.262787789
+35	-135	1.88021405829407	1.334274680	-0.4914677216	-1.191467722
+40	-135	1.82909373092151	1.433338253	-0.4123092157	-1.112309216
+45	-135	1.77551143021827	1.525092002	-0.3250920022	-1.025092002
+
+-45	-130	2.52079565233807	-1.032947266	-0.8329472665	-1.286295486
+-40	-130	2.50358093452538	-0.8537267770	-0.9133087498	-1.353726777
+-35	-130	2.48150405127880	-0.6729674817	-0.9751711709	-1.405635512
+-30	-130	2.45544806613791	-0.4931839226	-1.020245015	-1.443456958
+-25	-130	2.42610298382372	-0.3161276271	-1.050191344	-1.468584912
+-20	-130	2.39399031936124	-0.1429621377	-1.066523955	-1.482289599
+-15	-130	2.35948772159458	0.02558025095	-1.070558608	-1.485675075
+-10	-130	2.32285330719320	0.1890658924	-1.063394952	-1.479664054
+-5	-130	2.28424734936472	0.3472519409	-1.045918304	-1.464999405
+-2.84217e-14	-130	2.24375301741351	0.5000000000	-1.018814531	-1.442256639
+5	-130	2.20139333345532	0.6472075951	-0.9825905116	-1.411861078
+10	-130	2.15714537983408	0.7887526611	-0.9375977171	-1.374107640
+15	-130	2.11095149502884	0.9244468277	-0.8840571262	-1.329181750
+20	-130	2.06273214383044	1.053995001	-0.8220887550	-1.277184113
+25	-130	2.01240607014247	1.176962273	-0.7517502797	-1.218163124
+30	-130	1.95990711940245	1.292746655	-0.6730774839	-1.152148810
+35	-130	1.90519915877282	1.400557329	-0.5861291538	-1.079190499
+40	-130	1.84830937447572	1.499410827	-0.4910514436	-0.9994108270
+45	-130	1.78935735648949	1.588144716	-0.3881447157	-0.9130618296
+
+-45	-125	2.57491698089962	-1.131692123	-0.9316921230	-1.142523125
+-40	-125	2.56331977580304	-0.9519796181	-1.030401926	-1.211640473
+-35	-125	2.54553656633545	-0.7665134217	-1.108768619	-1.266513422
+-30	-125	2.52241978035949	-0.5784228837	-1.167883227	-1.307905916
+-25	-125	2.49469215272866	-0.3901833541	-1.209004363	-1.336699246
+-20	-125	2.46294610260835	-0.2037087804	-1.233423984	-1.353798048
+-15	-125	2.42765481899358	-0.02045924603	-1.242380349	-1.360069363
+-10	-125	2.38918481255693	0.1584538391	-1.237004533	-1.356305175
+-5	-125	2.34781099564333	0.3321710024	-1.218294220	-1.343204074
+-2.84217e-14	-125	2.30373193211188	0.5000000000	-1.187106722	-1.321366352
+5	-125	2.25708658632248	0.6613437282	-1.144167253	-1.291299812
+10	-125	2.20796913892113	0.8156404556	-1.090085977	-1.253431695
+15	-125	2.15644369379684	0.9623149264	-1.025382794	-1.208126039
+20	-125	2.10256455836649	1.100741177	-0.9505228193	-1.155708520
+25	-125	2.04639176952229	1.230215905	-0.8659530628	-1.096492139
+30	-125	1.98800787537850	1.349943060	-0.7721445628	-1.030806720
+35	-125	1.92755131625040	1.459039302	-0.6696500682	-0.9590393025
+40	-125	1.86522420203403	1.556546885	-0.5591435460	-0.8816618026
+45	-125	1.80133167837898	1.641480961	-0.4414809612	-0.7992735738
+
+-45	-120	2.62060899772704	-1.215591300	-1.015591300	-0.9904970988
+-40	-120	2.61466476660907	-1.037053910	-1.131789519	-1.057584172
+-35	-120	2.60147034939892	-0.8488946154	-1.226421156	-1.112219773
+-30	-120	2.58175206062429	-0.6545946217	-1.299816547	-1.154594622
+-25	-120	2.55618886689691	-0.4571740770	-1.352666432	-1.185107517
+-20	-120	2.52538020563736	-0.2591964106	-1.385874995	-1.204280490
+-15	-120	2.48984583394945	-0.06281626630	-1.400458901	-1.212700512
+-10	-120	2.45002930567175	0.1301587999	-1.397473674	-1.210976990
+-5	-120	2.40630459309692	0.3182016231	-1.377964956	-1.199713627
+-2.84217e-14	-120	2.35898526529853	0.5000000000	-1.342941167	-1.179492633
+5	-120	2.30833495729292	0.6743966868	-1.293363252	-1.150868810
+10	-120	2.25458332344353	0.8403378891	-1.230152083	-1.114373825
+15	-120	2.19794264977056	0.9968331207	-1.154206449	-1.070526593
+20	-120	2.13862693578759	1.142928098	-1.066430433	-1.019849086
+25	-120	2.07686369781947	1.277689051	-0.9677595510	-0.9628814257
+30	-120	2.01291578338959	1.400203305	-0.8591978613	-0.9002033049
+35	-120	1.94709662799601	1.509593731	-0.7418492751	-0.8324520671
+40	-120	1.87979672962478	1.605055206	-0.6169535118	-0.7603434645
+45	-120	1.81148165287181	1.685893113	-0.4858931135	-0.6846757083
+
+-45	-115	2.65830604520002	-1.285166642	-1.085166642	-0.8324368761
+-40	-115	2.65769297769338	-1.108772518	-1.217260428	-0.8940332203
+-35	-115	2.64901393179421	-0.9193875267	-1.327095467	-0.9452501401
+-30	-115	2.63283115624785	-0.7206406323	-1.414211593	-0.9858730568
+-25	-115	2.60971438244954	-0.5159138442	-1.478634270	-1.015913844
+-20	-115	2.58021704436616	-0.3082924987	-1.520765388	-1.035559908
+-15	-115	2.54486026945163	-0.1005505587	-1.541285198	-1.045128452
+-10	-115	2.50412877578538	0.1048379436	-1.541075387	-1.045030615
+-5	-115	2.45847342126582	0.3056734931	-1.521162138	-1.035744915
+-2.84217e-14	-115	2.40831287793263	0.5000000000	-1.482672715	-1.017797002
+5	-115	2.35403775927137	0.6860715397	-1.426807431	-0.9917465927
+10	-115	2.29602578836519	0.8623225295	-1.354833174	-0.9581844454
+15	-115	2.23465034473387	1.027345461	-1.268080055	-0.9177308016
+20	-115	2.17029883874870	1.179879344	-1.167953145	-0.8710408567
+25	-115	2.10338776927357	1.318810200	-1.055944140	-0.8188101996
+30	-115	2.03436499366475	1.443178056	-0.9336323139	-0.7617752586
+35	-115	1.96372628881424	1.552198543	-0.8026952523	-0.7007183040
+40	-115	1.89202880164665	1.645295550	-0.6649100859	-0.6364680257
+45	-115	1.81988172946131	1.722128717	-0.5221287166	-0.5698879798
+
+-45	-110	2.68845094056086	-1.341027220	-1.141027220	-0.6700791085
+-40	-110	2.69254876952472	-1.167148360	-1.286830048	-0.7231469980
+-35	-110	2.68800167189200	-0.9775034715	-1.410093638	-0.7680112757
+-30	-110	2.67518051233587	-0.7757159063	-1.509604766	-0.8042303642
+-25	-110	2.65452023055555	-0.5653811975	-1.584717351	-0.8315691095
+-20	-110	2.62649176785706	-0.3499736493	-1.635283408	-0.8499736493
+-15	-110	2.59158250028731	-0.1327838096	-1.661581328	-0.8595453091
+-10	-110	2.55028678420006	0.08311874571	-1.664251078	-0.8605170189
+-5	-110	2.50310782302967	0.2949053082	-1.644243054	-0.8532346937
+-2.84217e-14	-110	2.45055510900234	0.5000000000	-1.602768553	-0.8381392096
+5	-110	2.39314015567288	0.6960843789	-1.541254706	-0.8157500004
+10	-110	2.33138338627782	0.8810983284	-1.461316021	-0.7866546985
+15	-110	2.26582324596686	1.053243536	-1.364732984	-0.7515013480
+20	-110	2.19702668519870	1.210992059	-1.253434627	-0.7109920587
+25	-110	2.12559267961882	1.353098217	-1.129475029	-0.6658744550
+30	-110	2.05215326854276	1.478612305	-0.9950062328	-0.6169318156
+35	-110	1.97737319234544	1.586895067	-0.8522470229	-0.5649717126
+40	-110	1.90195001137628	1.677632464	-0.7034477203	-0.5108131955
+45	-110	1.82661458605682	1.750849373	-0.5508493729	-0.4552719393
+
+-45	-105	2.71144647165026	-1.383768192	-1.183768192	-0.5047541657
+-40	-105	2.71941348958566	-1.212305939	-1.340646755	-0.5467896499
+-35	-105	2.71834784584786	-1.022927227	-1.474965484	-0.5827802450
+-30	-105	2.70844422733802	-0.8191707119	-1.584870697	-0.6122292580
+-25	-105	2.68999936486443	-0.6047344741	-1.669110725	-0.6348013055
+-20	-105	2.66338066437930	-0.3833584716	-1.727007454	-0.6503146873
+-15	-105	2.62902792485733	-0.1587366168	-1.758438523	-0.6587366168
+-10	-105	2.58742727273203	0.06556858581	-1.763782981	-0.6601686601
+-5	-105	2.53910998251328	0.2861881253	-1.743880911	-0.6548359165
+-2.84217e-14	-105	2.48465535840402	0.5000000000	-1.699992780	-0.6430761273
+5	-105	2.42467855423528	0.7041759006	-1.633741222	-0.6253240759
+10	-105	2.35983233696000	0.8962180156	-1.547064028	-0.6020989917
+15	-105	2.29080630832840	1.073990859	-1.442163049	-0.5739908591
+20	-105	2.21833306578296	1.235750369	-1.321457525	-0.5416479114
+25	-105	2.14317547894830	1.380163715	-1.187517179	-0.5057587038
+30	-105	2.06612860731282	1.506325446	-1.043006802	-0.4670372650
+35	-105	1.98800029613482	1.613757308	-0.8906102794	-0.4262027398
+40	-105	1.90960441163667	1.702401543	-0.7329663584	-0.3839621785
+45	-105	1.83175907182279	1.772608370	-0.5726083700	-0.3409943850
+
+-45	-100	2.72762427062427	-1.413902605	-1.213902605	-0.3374726677
+-40	-100	2.73846117142340	-1.244407426	-1.378903816	-0.3665668331
+-35	-100	2.74002161734430	-1.055470084	-1.521441499	-0.3917000724
+-30	-100	2.73236822691432	-0.8505287649	-1.639184438	-0.4124613293
+-25	-100	2.71567377628733	-0.6333132164	-1.730398036	-0.4285447476
+-20	-100	2.69021835264392	-0.4077326877	-1.793975062	-0.4397550927
+-15	-100	2.65638683582546	-0.1777633353	-1.829447203	-0.4460097881
+-10	-100	2.61464799221399	0.05266544488	-1.836960330	-0.4473345551
+-5	-100	2.56554631352037	0.2797697003	-1.817243844	-0.4438580068
+-2.84217e-14	-100	2.50971056181106	0.5000000000	-1.771582419	-0.4358066655
+5	-100	2.44783616739480	0.7101258862	-1.701749870	-0.4234933029
+10	-100	2.38068047605131	0.9073055512	-1.609944568	-0.4073055512
+15	-100	2.30905892486815	1.089144419	-1.498716904	-0.3876931131
+20	-100	2.23383349302779	1.253739442	-1.370882097	-0.3651523877
+25	-100	2.15590114441497	1.399707204	-1.229428325	-0.3402102711
+30	-100	2.07618164641791	1.526195154	-1.077422146	-0.3134074804
+35	-100	1.99559249462614	1.632868589	-0.9179040178	-0.2852801305
+40	-100	1.91503499162377	1.719882646	-0.7537995259	-0.2563440810
+45	-100	1.83538336363316	1.787840498	-0.5878404984	-0.2270810267
+
+-45	-95	2.73723016914868	-1.431820877	-1.231820877	-0.1690124267
+-40	-95	2.74983023666396	-1.263600454	-1.401777176	-0.1838816762
+-35	-95	2.75302166077853	-1.075028789	-1.549374226	-0.1967947448
+-30	-95	2.74678326317167	-0.8694664092	-1.671985400	-0.2075218326
+-25	-95	2.73120771808963	-0.6506467717	-1.767569965	-0.2158843984
+-20	-95	2.70651540726971	-0.4225702638	-1.834740968	-0.2217610996
+-15	-95	2.67305202777748	-0.1893795411	-1.872799473	-0.2250907874
+-10	-95	2.63126532589702	0.04477213033	-1.881725541	-0.2258717172
+-5	-95	2.58170438660836	0.2758394017	-1.862167362	-0.2241605983
+-2.84217e-14	-95	2.52502985831656	0.5000000000	-1.815421357	-0.2200708528
+5	-95	2.46198879082648	0.7137661008	-1.743357713	-0.2137661008
+10	-95	2.39340542152825	0.9140763915	-1.648343911	-0.2054534703
+15	-95	2.32017597538839	1.098372883	-1.533158003	-0.1953760091
+20	-95	2.24324710189919	1.264655935	-1.400874916	-0.1838027387
+25	-95	2.16360268982396	1.411517068	-1.254754660	-0.1710188727
+30	-95	2.08224009067160	1.538144472	-1.098118971	-0.1573150256
+35	-95	2.00014649504914	1.644302043	-0.9342326824	-0.1429768333
+40	-95	1.91827675809197	1.730284588	-0.7661960781	-0.1282755353
+45	-95	1.83753660723828	1.796855346	-0.5968553465	-0.1134601410
+
+-45	-90	2.74041494435685	-1.437765990	-1.237765990	-6.232330758e-16
+-40	-90	2.75360928989155	-1.269985933	-1.409387095	-6.784306329e-16
+-35	-90	2.75735331281965	-1.081552887	-1.558691603	-7.264506251e-16
+-30	-90	2.75159712881428	-0.8757985644	-1.682953015	-7.664161432e-16
+-25	-90	2.73640599890505	-0.6564551467	-1.780026065	-7.976372175e-16
+-20	-90	2.71197936108105	-0.4275515698	-1.848426993	-8.196366338e-16
+-15	-90	2.67864785631958	-0.1932850803	-1.887375144	-8.321633144e-16
+-10	-90	2.63685105353961	0.04211561977	-1.896791361	-8.351918008e-16
+-5	-90	2.58713938638809	0.2745159452	-1.877294540	-8.289211449e-16
+-2.84217e-14	-90	2.53018363842091	0.5000000000	-1.830183638	-8.137691234e-16
+5	-90	2.46674891536064	0.7149913339	-1.757362191	-7.903479596e-16
+10	-90	2.39768293211773	0.9163532718	-1.661256741	-7.594380893e-16
+15	-90	2.32390881816770	1.101471861	-1.544723545	-7.219581551e-16
+20	-90	2.24640339126410	1.268315210	-1.410928690	-6.789264477e-16
+25	-90	2.16618061329495	1.415467485	-1.263226358	-6.314217545e-16
+30	-90	2.08426380595087	1.542131903	-1.105025404	-5.805404471e-16
+35	-90	2.00166379588469	1.648107187	-0.9396669904	-5.273571250e-16
+40	-90	1.91935390186178	1.733736907	-0.7703103909	-4.728878883e-16
+45	-90	1.83825008128748	1.799839098	-0.5998390980	-4.180601389e-16
+
+-45	-85	2.73723016914868	-1.431820877	-1.231820877	0.1690124267
+-40	-85	2.74983023666396	-1.263600454	-1.401777176	0.1838816762
+-35	-85	2.75302166077853	-1.075028789	-1.549374226	0.1967947448
+-30	-85	2.74678326317167	-0.8694664092	-1.671985400	0.2075218326
+-25	-85	2.73120771808963	-0.6506467717	-1.767569965	0.2158843984
+-20	-85	2.70651540726971	-0.4225702638	-1.834740968	0.2217610996
+-15	-85	2.67305202777748	-0.1893795411	-1.872799473	0.2250907874
+-10	-85	2.63126532589702	0.04477213033	-1.881725541	0.2258717172
+-5	-85	2.58170438660836	0.2758394017	-1.862167362	0.2241605983
+-2.84217e-14	-85	2.52502985831656	0.5000000000	-1.815421357	0.2200708528
+5	-85	2.46198879082647	0.7137661008	-1.743357713	0.2137661008
+10	-85	2.39340542152825	0.9140763915	-1.648343911	0.2054534703
+15	-85	2.32017597538839	1.098372883	-1.533158003	0.1953760091
+20	-85	2.24324710189919	1.264655935	-1.400874916	0.1838027387
+25	-85	2.16360268982395	1.411517068	-1.254754660	0.1710188727
+30	-85	2.08224009067160	1.538144472	-1.098118971	0.1573150256
+35	-85	2.00014649504914	1.644302043	-0.9342326824	0.1429768333
+40	-85	1.91827675809197	1.730284588	-0.7661960781	0.1282755353
+45	-85	1.83753660723828	1.796855346	-0.5968553465	0.1134601410
+
+-45	-80	2.72762427062427	-1.413902605	-1.213902605	0.3374726677
+-40	-80	2.73846117142340	-1.244407426	-1.378903816	0.3665668331
+-35	-80	2.74002161734430	-1.055470084	-1.521441499	0.3917000724
+-30	-80	2.73236822691432	-0.8505287649	-1.639184438	0.4124613293
+-25	-80	2.71567377628733	-0.6333132164	-1.730398036	0.4285447476
+-20	-80	2.69021835264392	-0.4077326877	-1.793975062	0.4397550927
+-15	-80	2.65638683582546	-0.1777633353	-1.829447203	0.4460097881
+-10	-80	2.61464799221399	0.05266544488	-1.836960330	0.4473345551
+-5	-80	2.56554631352037	0.2797697003	-1.817243844	0.4438580068
+-2.84217e-14	-80	2.50971056181106	0.5000000000	-1.771582419	0.4358066655
+5	-80	2.44783616739480	0.7101258862	-1.701749870	0.4234933029
+10	-80	2.38068047605131	0.9073055512	-1.609944568	0.4073055512
+15	-80	2.30905892486814	1.089144419	-1.498716904	0.3876931131
+20	-80	2.23383349302779	1.253739442	-1.370882097	0.3651523877
+25	-80	2.15590114441497	1.399707204	-1.229428325	0.3402102711
+30	-80	2.07618164641791	1.526195154	-1.077422146	0.3134074804
+35	-80	1.99559249462614	1.632868589	-0.9179040178	0.2852801305
+40	-80	1.91503499162377	1.719882646	-0.7537995259	0.2563440810
+45	-80	1.83538336363316	1.787840498	-0.5878404984	0.2270810267
+
+-45	-75	2.71144647165026	-1.383768192	-1.183768192	0.5047541657
+-40	-75	2.71941348958566	-1.212305939	-1.340646755	0.5467896499
+-35	-75	2.71834784584786	-1.022927227	-1.474965484	0.5827802450
+-30	-75	2.70844422733802	-0.8191707119	-1.584870697	0.6122292580
+-25	-75	2.68999936486443	-0.6047344741	-1.669110725	0.6348013055
+-20	-75	2.66338066437930	-0.3833584716	-1.727007454	0.6503146873
+-15	-75	2.62902792485733	-0.1587366168	-1.758438523	0.6587366168
+-10	-75	2.58742727273203	0.06556858581	-1.763782981	0.6601686601
+-5	-75	2.53910998251328	0.2861881253	-1.743880911	0.6548359165
+-2.84217e-14	-75	2.48465535840401	0.5000000000	-1.699992780	0.6430761273
+5	-75	2.42467855423528	0.7041759006	-1.633741222	0.6253240759
+10	-75	2.35983233695999	0.8962180156	-1.547064028	0.6020989917
+15	-75	2.29080630832840	1.073990859	-1.442163049	0.5739908591
+20	-75	2.21833306578295	1.235750369	-1.321457525	0.5416479114
+25	-75	2.14317547894830	1.380163715	-1.187517179	0.5057587038
+30	-75	2.06612860731282	1.506325446	-1.043006802	0.4670372650
+35	-75	1.98800029613481	1.613757308	-0.8906102794	0.4262027398
+40	-75	1.90960441163667	1.702401543	-0.7329663584	0.3839621785
+45	-75	1.83175907182279	1.772608370	-0.5726083700	0.3409943850
+
+-45	-70	2.68845094056086	-1.341027220	-1.141027220	0.6700791085
+-40	-70	2.69254876952472	-1.167148360	-1.286830048	0.7231469980
+-35	-70	2.68800167189200	-0.9775034715	-1.410093638	0.7680112757
+-30	-70	2.67518051233587	-0.7757159063	-1.509604766	0.8042303642
+-25	-70	2.65452023055555	-0.5653811975	-1.584717351	0.8315691095
+-20	-70	2.62649176785706	-0.3499736493	-1.635283408	0.8499736493
+-15	-70	2.59158250028731	-0.1327838096	-1.661581328	0.8595453091
+-10	-70	2.55028678420006	0.08311874571	-1.664251078	0.8605170189
+-5	-70	2.50310782302966	0.2949053082	-1.644243054	0.8532346937
+-2.84217e-14	-70	2.45055510900234	0.5000000000	-1.602768553	0.8381392096
+5	-70	2.39314015567288	0.6960843789	-1.541254706	0.8157500004
+10	-70	2.33138338627781	0.8810983284	-1.461316021	0.7866546985
+15	-70	2.26582324596686	1.053243536	-1.364732984	0.7515013480
+20	-70	2.19702668519870	1.210992059	-1.253434627	0.7109920587
+25	-70	2.12559267961881	1.353098217	-1.129475029	0.6658744550
+30	-70	2.05215326854276	1.478612305	-0.9950062328	0.6169318156
+35	-70	1.97737319234544	1.586895067	-0.8522470229	0.5649717126
+40	-70	1.90195001137628	1.677632464	-0.7034477203	0.5108131955
+45	-70	1.82661458605682	1.750849373	-0.5508493729	0.4552719393
+
+-45	-65	2.65830604520002	-1.285166642	-1.085166642	0.8324368761
+-40	-65	2.65769297769338	-1.108772518	-1.217260428	0.8940332203
+-35	-65	2.64901393179421	-0.9193875267	-1.327095467	0.9452501401
+-30	-65	2.63283115624785	-0.7206406323	-1.414211593	0.9858730568
+-25	-65	2.60971438244954	-0.5159138442	-1.478634270	1.015913844
+-20	-65	2.58021704436616	-0.3082924987	-1.520765388	1.035559908
+-15	-65	2.54486026945163	-0.1005505587	-1.541285198	1.045128452
+-10	-65	2.50412877578538	0.1048379436	-1.541075387	1.045030615
+-5	-65	2.45847342126582	0.3056734931	-1.521162138	1.035744915
+-2.84217e-14	-65	2.40831287793263	0.5000000000	-1.482672715	1.017797002
+5	-65	2.35403775927136	0.6860715397	-1.426807431	0.9917465927
+10	-65	2.29602578836519	0.8623225295	-1.354833174	0.9581844454
+15	-65	2.23465034473386	1.027345461	-1.268080055	0.9177308016
+20	-65	2.17029883874869	1.179879344	-1.167953145	0.8710408567
+25	-65	2.10338776927356	1.318810200	-1.055944140	0.8188101996
+30	-65	2.03436499366475	1.443178056	-0.9336323139	0.7617752586
+35	-65	1.96372628881424	1.552198543	-0.8026952523	0.7007183040
+40	-65	1.89202880164664	1.645295550	-0.6649100859	0.6364680257
+45	-65	1.81988172946131	1.722128717	-0.5221287166	0.5698879798
+
+-45	-60	2.62060899772704	-1.215591300	-1.015591300	0.9904970988
+-40	-60	2.61466476660906	-1.037053910	-1.131789519	1.057584172
+-35	-60	2.60147034939892	-0.8488946154	-1.226421156	1.112219773
+-30	-60	2.58175206062429	-0.6545946217	-1.299816547	1.154594622
+-25	-60	2.55618886689691	-0.4571740770	-1.352666432	1.185107517
+-20	-60	2.52538020563736	-0.2591964106	-1.385874995	1.204280490
+-15	-60	2.48984583394945	-0.06281626630	-1.400458901	1.212700512
+-10	-60	2.45002930567175	0.1301587999	-1.397473674	1.210976990
+-5	-60	2.40630459309692	0.3182016231	-1.377964956	1.199713627
+-2.84217e-14	-60	2.35898526529853	0.5000000000	-1.342941167	1.179492633
+5	-60	2.30833495729291	0.6743966868	-1.293363252	1.150868810
+10	-60	2.25458332344352	0.8403378891	-1.230152083	1.114373825
+15	-60	2.19794264977055	0.9968331207	-1.154206449	1.070526593
+20	-60	2.13862693578758	1.142928098	-1.066430433	1.019849086
+25	-60	2.07686369781946	1.277689051	-0.9677595510	0.9628814257
+30	-60	2.01291578338959	1.400203305	-0.8591978613	0.9002033049
+35	-60	1.94709662799600	1.509593731	-0.7418492751	0.8324520671
+40	-60	1.87979672962478	1.605055206	-0.6169535118	0.7603434645
+45	-60	1.81148165287181	1.685893113	-0.4858931135	0.6846757083
+
+-45	-55	2.57491698089961	-1.131692123	-0.9316921230	1.142523125
+-40	-55	2.56331977580304	-0.9519796181	-1.030401926	1.211640473
+-35	-55	2.54553656633545	-0.7665134217	-1.108768619	1.266513422
+-30	-55	2.52241978035949	-0.5784228837	-1.167883227	1.307905916
+-25	-55	2.49469215272866	-0.3901833541	-1.209004363	1.336699246
+-20	-55	2.46294610260835	-0.2037087804	-1.233423984	1.353798048
+-15	-55	2.42765481899358	-0.02045924603	-1.242380349	1.360069363
+-10	-55	2.38918481255693	0.1584538391	-1.237004533	1.356305175
+-5	-55	2.34781099564333	0.3321710024	-1.218294220	1.343204074
+-2.84217e-14	-55	2.30373193211187	0.5000000000	-1.187106722	1.321366352
+5	-55	2.25708658632248	0.6613437282	-1.144167253	1.291299812
+10	-55	2.20796913892113	0.8156404556	-1.090085977	1.253431695
+15	-55	2.15644369379684	0.9623149264	-1.025382794	1.208126039
+20	-55	2.10256455836649	1.100741177	-0.9505228193	1.155708520
+25	-55	2.04639176952228	1.230215905	-0.8659530628	1.096492139
+30	-55	1.98800787537850	1.349943060	-0.7721445628	1.030806720
+35	-55	1.92755131625040	1.459039302	-0.6696500682	0.9590393025
+40	-55	1.86522420203403	1.556546885	-0.5591435460	0.8816618026
+45	-55	1.80133167837898	1.641480961	-0.4414809612	0.7992735738
+
+-45	-50	2.52079565233807	-1.032947266	-0.8329472665	1.286295486
+-40	-50	2.50358093452538	-0.8537267770	-0.9133087498	1.353726777
+-35	-50	2.48150405127880	-0.6729674817	-0.9751711709	1.405635512
+-30	-50	2.45544806613791	-0.4931839226	-1.020245015	1.443456958
+-25	-50	2.42610298382372	-0.3161276271	-1.050191344	1.468584912
+-20	-50	2.39399031936124	-0.1429621377	-1.066523955	1.482289599
+-15	-50	2.35948772159458	0.02558025095	-1.070558608	1.485675075
+-10	-50	2.32285330719319	0.1890658924	-1.063394952	1.479664054
+-5	-50	2.28424734936472	0.3472519409	-1.045918304	1.464999405
+-2.84217e-14	-50	2.24375301741351	0.5000000000	-1.018814531	1.442256639
+5	-50	2.20139333345531	0.6472075951	-0.9825905116	1.411861078
+10	-50	2.15714537983407	0.7887526611	-0.9375977171	1.374107640
+15	-50	2.11095149502883	0.9244468277	-0.8840571262	1.329181750
+20	-50	2.06273214383043	1.053995001	-0.8220887550	1.277184113
+25	-50	2.01240607014247	1.176962273	-0.7517502797	1.218163124
+30	-50	1.95990711940244	1.292746655	-0.6730774839	1.152148810
+35	-50	1.90519915877282	1.400557329	-0.5861291538	1.079190499
+40	-50	1.84830937447571	1.499410827	-0.4910514436	0.9994108270
+45	-50	1.78935735648949	1.588144716	-0.3881447157	0.9130618296
+
+-45	-45	2.45787925876269	-0.9190572517	-0.7190572517	1.419057252
+-40	-45	2.43552030104140	-0.7427817250	-0.7810895856	1.481089586
+-35	-45	2.40982738859674	-0.5692707913	-0.8270769492	1.527076949
+-30	-45	2.38160514900063	-0.4001621351	-0.8591265530	1.559126553
+-25	-45	2.35142558114947	-0.2363386051	-0.8790832344	1.579083234
+-20	-45	2.31967480993707	-0.07816402939	-0.8884926155	1.588492615
+-15	-45	2.28659324925992	0.07433514549	-0.8886028640	1.588602864
+-10	-45	2.25230960660889	0.2213351782	-0.8803867377	1.580386738
+-5	-45	2.21686639000637	0.3631178436	-0.8645702072	1.564570207
+-2.84217e-14	-45	2.18023909635534	0.5000000000	-0.8416618496	1.541661850
+5	-45	2.14235147364238	0.6322811744	-0.8119807419	1.511980742
+10	-45	2.10308614929661	0.7602022943	-0.7756805409	1.475680541
+15	-45	2.06229232442751	0.8839097148	-0.7327705612	1.432770561
+20	-45	2.01979625523952	1.003421228	-0.6831384565	1.383138457
+25	-45	1.97540915283297	1.118590710	-0.6265720588	1.326572059
+30	-45	1.92894020969863	1.229070870	-0.5627877889	1.262787789
+35	-45	1.88021405829407	1.334274680	-0.4914677216	1.191467722
+40	-45	1.82909373092150	1.433338253	-0.4123092157	1.112309216
+45	-45	1.77551143021827	1.525092002	-0.3250920022	1.025092002
+
+
+### -z patch
+# N_rho = 19
+# N_sigma = 19
+# ghosted_gfn=-3
+# dpx = dsigma = dnu
+# dpy = 180 - drho = 180 - dmu
+#
+# dpx	dpy	gridfn	global_x	global_y	global_z
+135	45	1.12174037131858	1.147637105	1.347637105	-0.6476371053
+140	45	1.12763623849407	1.075403009	1.385738603	-0.6857386031
+145	45	1.13581561049406	1.003975705	1.419751898	-0.7197518982
+150	45	1.14598752876907	0.9331425724	1.450224942	-0.7502249423
+155	45	1.15794904144983	0.8626066624	1.477612497	-0.7776124970
+160	45	1.17157503837257	0.7920075443	1.502284134	-0.8022841344
+165	45	1.18680712146139	0.7209322016	1.524530201	-0.8245302013
+170	45	1.20364781051234	0.6489201581	1.544568185	-0.8445681850
+175	45	1.22215480003692	0.5754629080	1.562544986	-0.8625449857
+180	45	1.24243961027006	0.5000000000	1.578537474	-0.8785374736
+185	45	1.26466797418368	0.4219120826	1.592548980	-0.8925489796
+190	45	1.28906143503311	0.3405121241	1.604500691	-0.9045006912
+195	45	1.31590257460958	0.2550358035	1.614218827	-0.9142188273
+200	45	1.34553884449676	0.1646330957	1.621412997	-0.9214129969
+205	45	1.37838938282525	0.06836341174	1.625647651	-0.9256476507
+210	45	1.41494878286683	-0.03480037105	1.626301415	-0.9263014146
+215	45	1.45578737396331	-0.1459512099	1.622513933	-0.9225139329
+220	45	1.50154422665108	-0.2661983862	1.613119679	-0.9131196793
+225	45	1.55290165255610	-0.3965681871	1.596568187	-0.8965681871
+
+135	40	1.13961094565829	1.193020667	1.281513386	-0.6930206669
+140	40	1.14549400472208	1.119387169	1.319387169	-0.7381568837
+145	40	1.15385574632929	1.045409252	1.353595795	-0.7789251364
+150	40	1.16445547635432	0.9710009850	1.384535496	-0.8157976364
+155	40	1.17712004194909	0.8959766725	1.412542190	-0.8491747145
+160	40	1.19173982471124	0.8200696256	1.437890848	-0.8793840691
+165	40	1.20826350872964	0.7429442906	1.460795219	-0.9066804358
+170	40	1.22669489670553	0.6642037755	1.481408080	-0.9312458869
+175	40	1.24709020945622	0.5833931619	1.499819869	-0.9531882021
+180	40	1.26955560997558	0.5000000000	1.516054616	-0.9725360203
+185	40	1.29424809356984	0.4134533813	1.530064523	-0.9892323779
+190	40	1.32137438842837	0.3231225515	1.541719181	-1.003121858
+195	40	1.35119293142377	0.2283170387	1.550792162	-1.013934615
+200	40	1.38401378834969	0.1282907008	1.556941328	-1.021262906
+205	40	1.42019684657353	0.02225363467	1.559683070	-1.024530387
+210	40	1.46014840099205	-0.09060337560	1.558361208	-1.022955054
+215	40	1.50430754861118	-0.2110622431	1.552107459	-1.015502125
+220	40	1.55312494914355	-0.3397998254	1.539799825	-1.000834459
+225	40	1.60702443748216	-0.4772643476	1.520022154	-0.9772643476
+
+135	35	1.15942862111169	1.234715163	1.214453095	-0.7347151626
+140	35	1.16565496771841	1.160279404	1.250986556	-0.7868903523
+145	35	1.17447517763193	1.084351683	1.284351683	-0.8345406909
+150	35	1.18571068717779	1.006932886	1.314805685	-0.8780335142
+155	35	1.19923062546624	0.9279225953	1.342568531	-0.9176829671
+160	35	1.21495208179683	0.8471340468	1.367818007	-0.9537429552
+165	35	1.23284009685981	0.7643057086	1.390686350	-0.9864023334
+170	35	1.25290543386055	0.6791092253	1.411256038	-1.015778893
+175	35	1.27520408219914	0.5911556438	1.429555880	-1.041913776
+180	35	1.29983421729793	0.5000000000	1.445554278	-1.064761856
+185	35	1.32693692919653	0.4051463278	1.459152714	-1.084182435
+190	35	1.35669304174674	0.3060538065	1.470174741	-1.099923521
+195	35	1.38932124862528	0.2021466627	1.478353352	-1.111603788
+200	35	1.42507475524150	0.09283005954	1.483315323	-1.118690217
+205	35	1.46423158745740	-0.02248313856	1.484560635	-1.120468706
+210	35	1.50708399933099	-0.1443312430	1.481441730	-1.116014450
+215	35	1.55391838350692	-0.2731409224	1.473140922	-1.104159667
+220	35	1.60498398694441	-0.4091351217	1.458650394	-1.083465047
+225	35	1.66045156795094	-0.5522070281	1.436763293	-1.052207028
+
+135	30	1.18098320031944	1.273134987	1.146369693	-0.7731349871
+140	30	1.18793784139890	1.198339813	1.180499173	-0.8322489806
+145	30	1.19753938597374	1.120939012	1.211990069	-0.8867928128
+150	30	1.20967124815643	1.040981428	1.240981428	-0.9370073197
+155	30	1.22424949225772	0.9584246074	1.267590015	-0.9830947431
+160	30	1.24122491163980	0.8731451983	1.291904119	-1.025208007
+165	30	1.26058409048242	0.7849482572	1.313978163	-1.063441374
+170	30	1.28234737650191	0.6935751918	1.333826364	-1.097819466
+175	30	1.30657032496476	0.5987125092	1.351418041	-1.128289143
+180	30	1.33334029271497	0.5000000000	1.366670146	-1.154706565
+185	30	1.36277631314562	0.3970410801	1.379440715	-1.176825839
+190	30	1.39502303933455	0.2894159903	1.389518610	-1.194281266
+195	30	1.43024604503456	0.1767005700	1.396613456	-1.206569899
+200	30	1.46862547043233	0.05849214975	1.400344842	-1.213032849
+205	30	1.51034145987398	-0.06555276941	1.400228782	-1.212831828
+210	30	1.55555809630415	-0.1956667293	1.395666729	-1.204930120
+215	30	1.60440029955859	-0.3319014382	1.385937373	-1.188078381
+220	30	1.65692200341167	-0.4740363184	1.370194706	-1.160811282
+225	30	1.71306644054684	-0.6214652335	1.347478254	-1.121465233
+
+135	25	1.20415125964333	1.308639270	1.077074684	-0.8086392702
+140	25	1.21223255917347	1.233796734	1.107788329	-0.8745048939
+145	25	1.22296440479880	1.155285501	1.136391542	-0.9358446823
+150	25	1.23628828181533	1.073171472	1.162932575	-0.9927621114
+155	25	1.25216673402444	0.9874454955	1.187445496	-1.045330239
+160	25	1.27058409878173	0.8980299247	1.209943904	-1.093578230
+165	25	1.29154772746601	0.8047867573	1.230415478	-1.137479664
+170	25	1.31508850982500	0.7075264998	1.248816725	-1.176941266
+175	25	1.34125988360070	0.6060179646	1.265067367	-1.211790880
+180	25	1.37013439604367	0.5000000000	1.279043817	-1.241763472
+185	25	1.40180265677314	0.3891965187	1.290573793	-1.266489586
+190	25	1.43636473049950	0.2733356023	1.299428086	-1.285477678
+195	25	1.47392338282335	0.1521752013	1.305313888	-1.298099821
+200	25	1.51457491874671	0.02553621480	1.307868654	-1.303578536
+205	25	1.55839344183514	-0.1066539246	1.306653925	-1.300973540
+210	25	1.60541155649371	-0.2443054496	1.301152108	-1.289174855
+215	25	1.65559758425078	-0.3870978488	1.290768448	-1.266907025
+220	25	1.70882718816048	-0.5343987216	1.274840016	-1.232748393
+225	25	1.76485135806070	-0.6851734595	1.252655460	-1.185173459
+
+135	20	1.22888222445786	1.341527584	1.006290992	-0.8415275842
+140	20	1.23849153376705	1.266838155	1.032625891	-0.9138821259
+145	20	1.25071823997615	1.187477452	1.057353093	-0.9818195533
+150	20	1.26555342808269	1.103505682	1.080458997	-1.045302503
+155	20	1.28299851830967	1.014926382	1.101918932	-1.104263189
+160	20	1.30306716448019	0.9216928325	1.121692832	-1.158591535
+165	20	1.32578532237878	0.8237155240	1.139720732	-1.208122783
+170	20	1.35119110871385	0.7208717261	1.155918508	-1.252625805
+175	20	1.37933169094353	0.6130169486	1.170172975	-1.291789633
+180	20	1.41026033001642	0.5000000000	1.182337440	-1.325211226
+185	20	1.44403357641693	0.3816816365	1.192227916	-1.352385083
+190	20	1.48070108210237	0.2579579959	1.199617725	-1.372688418
+195	20	1.52029710514555	0.1287907509	1.204234091	-1.385371778
+200	20	1.56282989800128	-0.005756099379	1.205756099	-1.389553463
+205	20	1.60826670792296	-0.1454714835	1.203814173	-1.384218063
+210	20	1.65651478096075	-0.2899437983	1.197992371	-1.368222794
+215	20	1.70740084776658	-0.4385004132	1.187835672	-1.340317494
+220	20	1.76064897806544	-0.5901429495	1.172863496	-1.299181776
+225	20	1.81585767930665	-0.7434831391	1.152590849	-1.243483139
+
+135	15	1.25519048754067	1.372039312	0.9336622294	-0.8720393118
+140	15	1.26672320799823	1.297604954	0.9546987217	-0.9505485698
+145	15	1.28081472590003	1.217563656	0.9745908773	-1.024787105
+150	15	1.29749188761926	1.131954419	0.9932910664	-1.094577161
+155	15	1.31678416648774	1.040779631	1.010742195	-1.159705661
+160	15	1.33872672519451	0.9440129831	1.026875412	-1.219915645
+165	15	1.36335660013574	0.8416064568	1.041606457	-1.274892653
+170	15	1.39071308088899	0.7335020029	1.054833236	-1.324255664
+175	15	1.42083235959327	0.6196446127	1.066432359	-1.367544181
+180	15	1.45374405637949	0.5000000000	1.076256648	-1.404208929
+185	15	1.48946666845059	0.3745758699	1.084133132	-1.433604367
+190	15	1.52799635864201	0.2434480088	1.089860353	-1.454978644
+195	15	1.56929804648666	0.1067922763	1.093207724	-1.467471203
+200	15	1.61329457866760	-0.03507838826	1.093916339	-1.470115789
+205	15	1.65985284582944	-0.1816717820	1.091701488	-1.461849854
+210	15	1.70876782210088	-0.3322698476	1.086257780	-1.441533662
+215	15	1.75974628758609	-0.4858802797	1.077267896	-1.407982956
+220	15	1.81239106104587	-0.6411901830	1.064415591	-1.360017500
+225	15	1.86618674845241	-0.7965268809	1.047403331	-1.296526881
+
+135	10	1.28315119173312	1.400353628	0.8587566368	-0.9003536281
+140	10	1.29699323824384	1.326188320	0.8736138196	-0.9846128990
+145	10	1.31331505790248	1.245549696	0.8877450893	-1.064755312
+150	10	1.33216288493861	1.158448696	0.9010950314	-1.140466595
+155	10	1.35358301956010	1.064881371	0.9136010954	-1.211392009
+160	10	1.37761985080558	0.9648360861	0.9251918862	-1.277126650
+165	10	1.40431283277945	0.8583031419	0.9357854137	-1.337205530
+170	10	1.43369470160687	0.7452877724	0.9452877724	-1.391096084
+175	10	1.46578463165274	0.6258251262	0.9535913078	-1.438187774
+180	10	1.50058422729784	0.5000000000	0.9605737165	-1.477786981
+185	10	1.53807151755874	0.3679696603	0.9660974602	-1.509113688
+190	10	1.57819005202582	0.2299908259	0.9700091741	-1.531298120
+195	10	1.62083956011155	0.08645118572	0.9721404500	-1.543385186
+200	10	1.66586577588537	-0.06209594159	0.9723098510	-1.544345907
+205	10	1.71304856357401	-0.2148946219	0.9703262706	-1.533096464
+210	10	1.76208941540169	-0.3709486585	0.9659940689	-1.508527327
+215	10	1.81259980118278	-0.5289863213	0.9591203912	-1.469544764
+220	10	1.86409125056041	-0.6874313404	0.9495248184	-1.415125566
+225	10	1.91596991604743	-0.8443859744	0.9370515198	-1.344385974
+
+135	5	1.31289283269684	1.426584038	0.7810655991	-0.9265840380
+140	5	1.32941861577697	1.352621097	0.7888984782	-1.016114256
+145	5	1.34832450421998	1.271388740	0.7963825241	-1.101657292
+150	5	1.36966074989887	1.182873095	0.8034790450	-1.182770896
+155	5	1.39347652121490	1.087066026	0.8101453538	-1.258967155
+160	5	1.41981244724759	0.9839716561	0.8163337806	-1.329701197
+165	5	1.44870078028814	0.8736196186	0.8219913402	-1.394367399
+170	5	1.48015890778142	0.7560781612	0.8270590354	-1.452291420
+175	5	1.51418299292607	0.6314713518	0.8314713518	-1.502724427
+180	5	1.55074438960347	0.5000000000	0.8351562791	-1.544843339
+185	5	1.58978156915806	0.3619646814	0.8380353186	-1.577750912
+190	5	1.63118967864543	0.2177924267	0.8400237407	-1.600478680
+195	5	1.67481148031106	0.06806648066	0.8410315366	-1.611997840
+200	5	1.72042871639804	-0.08644276343	0.8409650811	-1.611238250
+205	5	1.76775199150693	-0.2447467685	0.8397294218	-1.597114599
+210	5	1.81641137214699	-0.4056099885	0.8372314378	-1.568562512
+215	5	1.86594892132098	-0.5675263881	0.8333839639	-1.524585683
+220	5	1.91581307153095	-0.7287045058	0.8281107881	-1.464313009
+225	5	1.96535849897351	-0.8870666125	0.8213526041	-1.387066612
+
+135	-2.84217e-14	1.34459702727123	1.450773676	0.7000000000	-0.9507736759
+140	-2.84217e-14	1.36416399338086	1.376867713	0.7000000000	-1.045010247
+145	-2.84217e-14	1.38598627405443	1.294969068	0.7000000000	-1.135333490
+150	-2.84217e-14	1.41010453948554	1.205052270	0.7000000000	-1.221186353
+155	-2.84217e-14	1.43655529350721	1.107114501	0.7000000000	-1.301961249
+160	-2.84217e-14	1.46536410029107	1.001184040	0.7000000000	-1.376991832
+165	-2.84217e-14	1.49654554484713	0.8873344889	0.7000000000	-1.445551992
+170	-2.84217e-14	1.53009379278212	0.7656979988	0.7000000000	-1.506848230
+175	-2.84217e-14	1.56597882177090	0.6364840473	0.7000000000	-1.560019800
+180	-2.84217e-14	1.60414151086640	0.5000000000	0.7000000000	-1.604141511
+185	-2.84217e-14	1.64448372303031	0.3566737997	0.7000000000	-1.638225966
+190	-2.84217e-14	1.68685995146028	0.2070798434	0.7000000000	-1.661232758
+195	-2.84217e-14	1.73106896264189	0.05196638408	0.7000000000	-1.672084218
+200	-2.84217e-14	1.77684514645976	-0.1077168317	0.7000000000	-1.669688272
+205	-2.84217e-14	1.82385011682352	-0.2707923660	0.7000000000	-1.652969563
+210	-2.84217e-14	1.87166531766140	-0.4358326588	0.7000000000	-1.620909712
+215	-2.84217e-14	1.91978712608357	-0.6011446583	0.7000000000	-1.572597549
+220	-2.84217e-14	1.96762564665030	-0.7647653862	0.7000000000	-1.507288693
+225	-2.84217e-14	2.01450578875003	-0.9244707040	0.7000000000	-1.424470704
+
+135	-5	1.37850081970009	1.472887371	0.6148833842	-0.9728873706
+140	-5	1.40144484748622	1.398815038	0.6062851138	-1.071166051
+145	-5	1.42648571187036	1.316105480	0.5980302641	-1.165519414
+150	-5	1.45364114076055	1.224743281	0.5901761644	-1.255292184
+155	-5	1.48292180999410	1.124748964	0.5827845716	-1.339778478
+160	-5	1.51432874654405	1.016189440	0.5759219300	-1.418218829
+165	-5	1.54784990165424	0.8991901556	0.5696595691	-1.489797943
+170	-5	1.58345210470683	0.7739486289	0.5640741234	-1.553639879
+175	-5	1.62107850985603	0.6407527254	0.5592472746	-1.608811013
+180	-5	1.66064128399369	0.5000000000	0.5552655755	-1.654322043
+185	-5	1.70201340620809	0.3522199732	0.5522199732	-1.689133435
+190	-5	1.74502030844336	0.1980989071	0.5502048692	-1.712166179
+195	-5	1.78943146349567	0.03850601173	0.5493166115	-1.722319012
+200	-5	1.83495216235188	-0.1254803856	0.5496513235	-1.718493236
+205	-5	1.88121586269182	-0.2925486388	0.5513019892	-1.699626041
+210	-5	1.92777754042960	-0.4611339276	0.5543547526	-1.664732796
+215	-5	1.97410949863599	-0.6294060404	0.5588843740	-1.612958985
+220	-5	2.01960127928035	-0.7952689533	0.5649488745	-1.543641428
+225	-5	2.06356418940260	-0.9563760206	0.5725836084	-1.456376021
+
+135	-10	1.41489371077207	1.492793908	0.5249436478	-0.9927939077
+140	-10	1.44151958796782	1.418252009	0.5070400721	-1.094330131
+145	-10	1.47003706155019	1.334518478	0.4898507005	-1.191815902
+150	-10	1.50042924777945	1.241617780	0.4735045241	-1.284519675
+155	-10	1.53267161737893	1.139619168	0.4581379704	-1.371667732
+160	-10	1.56673373443833	1.028646837	0.4438947147	-1.452445248
+165	-10	1.60257267797083	0.9088881140	0.4309265763	-1.525991216
+170	-10	1.64012854494347	0.7806060989	0.4193939011	-1.591396267
+175	-10	1.67931997065332	0.6441553164	0.4094655392	-1.647702806
+180	-10	1.72003766405878	0.5000000000	0.4013185941	-1.693906427
+185	-10	1.76213636301434	0.3487356017	0.3951377063	-1.728959984
+190	-10	1.80542588574355	0.1911135312	0.3911135312	-1.751782215
+195	-10	1.84966274019981	0.02806813712	0.3894399280	-1.761273690
+200	-10	1.89454181826452	-0.1392557448	0.3903097430	-1.756340724
+205	-10	1.93968801100293	-0.3094764834	0.3939090710	-1.735927921
+210	-10	1.98464929982389	-0.4809534239	0.4004096738	-1.699061170
+215	-10	2.02889145060546	-0.6517719183	0.4099596138	-1.644900769
+220	-10	2.07179693747397	-0.8197404439	0.4226719699	-1.572805415
+225	-10	2.11267148809518	-0.9824063224	0.4386117690	-1.482406322
+
+135	-15	1.45412511716754	1.510248467	0.4293047390	-1.010248467
+140	-15	1.48469434600336	1.434852664	0.4014740477	-1.114114021
+145	-15	1.51688568420288	1.349820053	0.3747984214	-1.213668814
+150	-15	1.55063826025894	1.255251505	0.3494865569	-1.308133978
+155	-15	1.58588836787628	1.151295898	0.3257530691	-1.396708561
+160	-15	1.62257295673040	1.038155731	0.3038181702	-1.478570718
+165	-15	1.66062099650472	0.9160898584	0.2839101416	-1.552868492
+170	-15	1.69995130215274	0.7854233841	0.2662662347	-1.618716449
+175	-15	1.74046585277348	0.6465601212	0.2511342322	-1.675189851
+180	-15	1.78204537812267	0.5000000000	0.2387727169	-1.721323654
+185	-15	1.82453943246040	0.3463602604	0.2294516741	-1.756110260
+190	-15	1.86775727139028	0.1864018396	0.2234514113	-1.778503545
+195	-15	1.91145940693440	0.02105936537	0.2210593654	-1.787430782
+200	-15	1.95534775233704	-0.1485265231	0.2225649194	-1.781811978
+205	-15	1.99905577373573	-0.3209763384	0.2282514815	-1.760589439
+210	-15	2.04213965670173	-0.4946414246	0.2383853084	-1.722769483
+215	-15	2.08407158075631	-0.6675802855	0.2532007619	-1.667477458
+220	-15	2.12423617826848	-0.8375465842	0.2728820348	-1.594025947
+225	-15	2.16193544407006	-1.001997279	0.2975410421	-1.501997279
+
+135	-20	1.49660169193212	1.524859487	0.3269816524	-1.024859487
+140	-20	1.53131155281489	1.448143846	0.2887304382	-1.129953834
+145	-20	1.56728866558344	1.361485493	0.2521969424	-1.230328789
+150	-20	1.60442555308004	1.265103958	0.2176670355	-1.325198928
+155	-20	1.64262231029972	1.159259969	0.1854234087	-1.413787565
+160	-20	1.68178875256728	1.044253038	0.1557469622	-1.495322932
+165	-20	1.72183475649514	0.9204184728	0.1289222945	-1.569023101
+170	-20	1.76266907721507	0.7881337504	0.1052407169	-1.634087700
+175	-20	1.80419209314060	0.6478283188	0.08500480329	-1.689685416
+180	-20	1.84628947792123	0.5000000000	0.06853180814	-1.734944598
+185	-20	1.88882103288171	0.3452375227	0.05615732544	-1.768943210
+190	-20	1.93161146261813	0.1842501736	0.04823622672	-1.790706250
+195	-20	1.97444082493833	0.01790298516	0.04514091332	-1.799210554
+200	-20	2.01703296440116	-0.1527432868	0.04725671316	-1.793397441
+205	-20	2.05904364814585	-0.3263890259	0.05497304815	-1.772196985
+210	-20	2.10004891356384	-0.5014523472	0.06866948047	-1.734566347
+215	-20	2.13953580377376	-0.6760303613	0.08869546132	-1.679545416
+220	-20	2.17689543373436	-0.8478707217	0.1153437755	-1.606329775
+225	-20	2.21142351853933	-1.014363097	0.1488169089	-1.514363097
+
+135	-25	1.54279079775395	1.536050259	0.2168818299	-1.036050259
+140	-25	1.58174925279444	1.457475054	0.1679082986	-1.141074336
+145	-25	1.62150828756346	1.368832213	0.1213956682	-1.240820994
+150	-25	1.66192237312452	1.270505154	0.07768721469	-1.334554075
+155	-25	1.70286876107563	1.162895511	0.03710448896	-1.421584011
+160	-25	1.74424530499998	1.046411551	-4.595574615e-05	-1.501253397
+165	-25	1.78596045511713	0.9214610767	-0.03346191448	-1.572914152
+170	-25	1.82793073391824	0.7884551605	-0.06283759763	-1.635910507
+175	-25	1.87007205160910	0.6478171642	-0.08785379628	-1.689557918
+180	-25	1.91229263723949	0.5000000000	-0.1081697903	-1.733125708
+185	-25	1.95447993110703	0.3455109359	-0.1234144947	-1.765818082
+190	-25	1.99648940191075	0.1849455725	-0.1331810122	-1.786762447
+195	-25	2.03813430277862	0.01902950864	-0.1370251891	-1.795006311
+200	-25	2.07917237957603	-0.1513325852	-0.1344676127	-1.789521570
+205	-25	2.11929177810736	-0.3250013380	-0.1250013380	-1.769221079
+210	-25	2.15809648548360	-0.5005428006	-0.1081069589	-1.732990966
+215	-25	2.19509317746311	-0.6761689279	-0.08327716915	-1.679743310
+220	-25	2.22967866189586	-0.8496840251	-0.05005157147	-1.608490786
+225	-25	2.26113626059121	-1.018450079	-0.008064900433	-1.518450079
+
+135	-30	1.59321311211376	1.543002812	0.09782204569	-1.043002812
+140	-30	1.63639683550262	1.461970416	0.03810734976	-1.146431699
+145	-30	1.67978320214882	1.370988407	-0.01816620647	-1.243900358
+150	-30	1.72320715145101	1.270641666	-0.07064166599	-1.334790520
+155	-30	1.76654507696716	1.161489132	-0.1190106284	-1.418568020
+160	-30	1.80971030393074	1.044047017	-0.1629982949	-1.494756894
+165	-30	1.85263558221288	0.9187783143	-0.2023418593	-1.562901946
+170	-30	1.89526861885753	0.7860979740	-0.2367751981	-1.622542238
+175	-30	1.93756177780642	0.6463844549	-0.2660120644	-1.673181976
+180	-30	1.97946314199170	0.5000000000	-0.2897315710	-1.714265367
+185	-30	2.02090366989544	0.3473189936	-0.3075639128	-1.745151889
+190	-30	2.06178346194925	0.1887659800	-0.3190785579	-1.765095839
+195	-30	2.10195999792874	0.02486324181	-0.3237774287	-1.773234522
+200	-30	2.14123384084977	-0.1437118033	-0.3210922431	-1.768583644
+205	-30	2.17933241444133	-0.3160588286	-0.3103882621	-1.750043805
+210	-30	2.21589260685647	-0.4909773000	-0.2909773000	-1.716423033
+215	-30	2.25044256407446	-0.6668823585	-0.2621430891	-1.666480714
+220	-30	2.28238231718202	-0.8417187199	-0.2231819862	-1.598998105
+225	-30	2.31097655623500	-1.012889285	-0.1734670362	-1.512889285
+
+135	-35	1.64843195111611	1.544590350	-0.03143003730	-1.044590350
+140	-35	1.69563661383609	1.460484847	-0.1015004480	-1.144661267
+145	-35	1.74229688618231	1.366867292	-0.1668672924	-1.238014796
+150	-35	1.78826616481914	1.264546476	-0.2272381679	-1.324233341
+155	-35	1.83345578751623	1.154233758	-0.2823973533	-1.403008822
+160	-35	1.87782698091524	1.036529538	-0.3321778860	-1.474102790
+165	-35	1.92136902856069	0.9119178180	-0.3764278059	-1.537298225
+170	-35	1.96408718668974	0.7807762860	-0.4149834882	-1.592361446
+175	-35	2.00599202487745	0.6433946903	-0.4476463243	-1.639008811
+180	-35	2.04708812777853	0.5000000000	-0.4741615132	-1.676876425
+185	-35	2.08736189511851	0.3507887325	-0.4941987689	-1.705492591
+190	-35	2.12676855108912	0.1959675828	-0.5073353126	-1.724253520
+195	-35	2.16521799528973	0.03580397160	-0.5130417537	-1.732403163
+200	-35	2.20255984348120	-0.1293116603	-0.5106725412	-1.729019577
+205	-35	2.23856565490836	-0.2987894943	-0.4994622339	-1.713009599
+210	-35	2.27290822496844	-0.4717479467	-0.4785310821	-1.683116816
+215	-35	2.30513810386660	-0.6469048946	-0.4469048946	-1.637949939
+220	-35	2.33465862885492	-0.8224556594	-0.4035559869	-1.576041283
+225	-35	2.36070983677391	-0.9959517817	-0.3474767143	-1.495951782
+
+135	-40	1.70902027231399	1.539290096	-0.1720679360	-1.039290096
+140	-40	1.75979804687587	1.451551318	-0.2515513181	-1.134014702
+145	-40	1.80913344939434	1.355148596	-0.3247745598	-1.221278763
+150	-40	1.85695372898189	1.251103888	-0.3916267452	-1.300950095
+155	-40	1.90325496940788	1.140244446	-0.4520910487	-1.373008646
+160	-40	1.94808520957031	1.023203883	-0.5061980455	-1.437490854
+165	-40	1.99152177059021	0.9004332169	-0.5539816283	-1.494437111
+170	-40	2.03365241655418	0.7722220544	-0.5954422774	-1.543847988
+175	-40	2.07456405055942	0.6387264966	-0.6305192633	-1.585651112
+180	-40	2.11433143012047	0.5000000000	-0.6590660461	-1.619671843
+185	-40	2.15300455146357	0.3560281720	-0.6808269881	-1.645605524
+190	-40	2.19059883983108	0.2067693025	-0.6954175880	-1.662993924
+195	-40	2.22708120604484	0.05220309171	-0.7023039860	-1.671200813
+200	-40	2.26235432611729	-0.1076082104	-0.7007843974	-1.669389838
+205	-40	2.29623771167401	-0.2724416677	-0.6899739950	-1.656506502
+210	-40	2.32844416687967	-0.4418131636	-0.6687965874	-1.631268251
+215	-40	2.35855084643217	-0.6148494580	-0.6359892861	-1.592170031
+220	-40	2.38596807804691	-0.7901315998	-0.5901315998	-1.537518969
+225	-40	2.40990857819842	-0.9655145743	-0.5297127388	-1.465514574
+
+135	-45	1.77551166209306	1.525092136	-0.3250921361	-1.025092136
+140	-45	1.82909431358587	1.433338550	-0.4123095700	-1.112309570
+145	-45	1.88021455078104	1.334274899	-0.4914680336	-1.191468034
+150	-45	1.92894056972377	1.229071006	-0.5627880245	-1.262788025
+155	-45	1.97540949207179	1.118590816	-0.6265722866	-1.326572287
+160	-45	2.01979646249834	1.003421280	-0.6831385985	-1.383138598
+165	-45	2.06229242964201	0.8839097344	-0.7327706343	-1.432770634
+170	-45	2.10308620499494	0.7602023012	-0.7756805800	-1.475680580
+175	-45	2.14235151011547	0.6322811766	-0.8119807676	-1.511980768
+180	-45	2.18023911865809	0.5000000000	-0.8416618654	-1.541661865
+185	-45	2.21686639462634	0.3631178433	-0.8645702104	-1.564570210
+190	-45	2.25230959399052	0.2213351798	-0.8803867288	-1.580386729
+195	-45	2.28659323766983	0.07433514765	-0.8886028560	-1.588602856
+200	-45	2.31967481567629	-0.07816403082	-0.8884926194	-1.588492619
+205	-45	2.35142567091198	-0.2363386332	-0.8790832947	-1.579083295
+210	-45	2.38160544122418	-0.4001622455	-0.8591267443	-1.559126744
+215	-45	2.40982796595816	-0.5692710475	-0.8270773151	-1.527077315
+220	-45	2.43552101254946	-0.7427820880	-0.7810900182	-1.481090018
+225	-45	2.45787967573393	-0.9190574924	-0.7190574924	-1.419057492
 
 
diff --git a/test/checkpointML/phi.d.asc b/test/checkpointML/phi.d.asc
index 97bd08a..c3d85b8 100644
--- a/test/checkpointML/phi.d.asc
+++ b/test/checkpointML/phi.d.asc
@@ -1,5 +1,5 @@
 # 1D ASCII output created by CarpetIOASCII
-# created on linux-hn3d.site by diener on Apr 11 2011 at 13:29:32-0500
+# created on horizon.tapir.caltech.edu by rhaas on Oct 18 2011 at 08:26:34-0700
 # parameter filename: "checkpointML.par"
 #
 # phi d (phi)
@@ -7,48 +7,60 @@
 # iteration 0
 # 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
-0	0 0 0 0	0 0 0	0	-0.6 -3 -0.6	0.0418461501069053
-0	0 0 0 0	1 1 1	0	-0.4 -2.8 -0.4	0.0449559832810808
-0	0 0 0 0	2 2 2	0	-0.2 -2.6 -0.2	0.0482974931098709
-0	0 0 0 0	3 3 3	0	0 -2.4 0	0.0517444047880428
-0	0 0 0 0	4 4 4	0	0.2 -2.2 0.2	0.0550354196212624
-0	0 0 0 0	5 5 5	0	0.4 -2 0.4	0.0577438892729511
-0	0 0 0 0	6 6 6	0	0.6 -1.8 0.6	0.0593604916161184
-0	0 0 0 0	7 7 7	0	0.8 -1.6 0.8	0.059539630236381
-0	0 0 0 0	8 8 8	0	1 -1.4 1	0.0583200986669331
-0	0 0 0 0	9 9 9	0	1.2 -1.2 1.2	0.0560589827984115
-0	0 0 0 0	10 10 10	0	1.4 -1 1.4	0.0531872351076006
-0	0 0 0 0	11 11 11	0	1.6 -0.8 1.6	0.0500525790414781
-0	0 0 0 0	12 12 12	0	1.8 -0.6 1.8	0.0468898909176895
-0	0 0 0 0	13 13 13	0	2 -0.4 2	0.043841654441818
-0	0 0 0 0	14 14 14	0	2.2 -0.2 2.2	0.0409845163085126
-0	0 0 0 0	15 15 15	0	2.4 0 2.4	0.03835159471018
-0	0 0 0 0	16 16 16	0	2.6 0.2 2.6	0.03594929782649
-0	0 0 0 0	17 17 17	0	2.8 0.4 2.8	0.0337690242705711
-0	0 0 0 0	18 18 18	0	3 0.6 3	0.0317947082562694
+0	0 0 0 0	0 0 0	0	-0.473684210526316 -3.38709677419355 -0.473684210526316	0.0385224547254099
+0	0 0 0 0	1 1 1	0	-0.315789473684211 -3.19354838709677 -0.315789473684211	0.0407617201494097
+0	0 0 0 0	2 2 2	0	-0.157894736842105 -3 -0.157894736842105	0.0431503360466634
+0	0 0 0 0	3 3 3	0	0 -2.80645161290323 0	0.0456532124216328
+0	0 0 0 0	4 4 4	0	0.157894736842105 -2.61290322580645 0.157894736842105	0.0482000927959825
+0	0 0 0 0	5 5 5	0	0.315789473684211 -2.41935483870968 0.315789473684211	0.0506712207335806
+0	0 0 0 0	6 6 6	0	0.473684210526316 -2.2258064516129 0.473684210526316	0.0528893818908836
+0	0 0 0 0	7 7 7	0	0.631578947368421 -2.03225806451613 0.631578947368421	0.0546338178970476
+0	0 0 0 0	8 8 8	0	0.789473684210526 -1.83870967741935 0.789473684210526	0.0556903984611607
+0	0 0 0 0	9 9 9	0	0.947368421052632 -1.64516129032258 0.947368421052632	0.0559267148338961
+0	0 0 0 0	10 10 10	0	1.10526315789474 -1.45161290322581 1.10526315789474	0.0553438005328095
+0	0 0 0 0	11 11 11	0	1.26315789473684 -1.25806451612903 1.26315789473684	0.0540632060270332
+0	0 0 0 0	12 12 12	0	1.42105263157895 -1.06451612903226 1.42105263157895	0.0522667022791265
+0	0 0 0 0	13 13 13	0	1.57894736842105 -0.870967741935484 1.57894736842105	0.0501382546569189
+0	0 0 0 0	14 14 14	0	1.73684210526316 -0.67741935483871 1.73684210526316	0.0478334037025984
+0	0 0 0 0	15 15 15	0	1.89473684210526 -0.483870967741935 1.89473684210526	0.0454709118855869
+0	0 0 0 0	16 16 16	0	2.05263157894737 -0.290322580645161 2.05263157894737	0.0431349095810428
+0	0 0 0 0	17 17 17	0	2.21052631578947 -0.0967741935483871 2.21052631578947	0.0408806630587269
+0	0 0 0 0	18 18 18	0	2.36842105263158 0.0967741935483871 2.36842105263158	0.0387411320420923
+0	0 0 0 0	19 19 19	0	2.52631578947368 0.290322580645161 2.52631578947368	0.0367330971165576
+0	0 0 0 0	20 20 20	0	2.68421052631579 0.483870967741935 2.68421052631579	0.0348622833774562
+0	0 0 0 0	21 21 21	0	2.84210526315789 0.67741935483871 2.84210526315789	0.0331273048498803
+0	0 0 0 0	22 22 22	0	3 0.870967741935484 3	0.0315225103002711
+0	0 0 0 0	23 23 23	0	3.1578947368421 1.06451612903226 3.1578947368421	0.0300399316847988
+0	0 0 0 0	24 24 24	0	3.31578947368421 1.25806451612903 3.31578947368421	0.0286705594694916
 
 
 # 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 0 0	0.05	-0.6 -3 -0.6	0.0417112063682171
-1	0 0 0 0	1 1 1	0.05	-0.4 -2.8 -0.4	0.0447963535591091
-1	0 0 0 0	2 2 2	0.05	-0.2 -2.6 -0.2	0.0481272141209426
-1	0 0 0 0	3 3 3	0.05	0 -2.4 0	0.0517254289333582
-1	0 0 0 0	4 4 4	0.05	0.2 -2.2 0.2	0.0550323627082798
-1	0 0 0 0	5 5 5	0.05	0.4 -2 0.4	0.0577465252800649
-1	0 0 0 0	6 6 6	0.05	0.6 -1.8 0.6	0.0593727676257279
-1	0 0 0 0	7 7 7	0.05	0.8 -1.6 0.8	0.0595671303695815
-1	0 0 0 0	8 8 8	0.05	1 -1.4 1	0.0583563592410557
-1	0 0 0 0	9 9 9	0.05	1.2 -1.2 1.2	0.0560944399742274
-1	0 0 0 0	10 10 10	0.05	1.4 -1 1.4	0.05321621292138
-1	0 0 0 0	11 11 11	0.05	1.6 -0.8 1.6	0.0500740131590542
-1	0 0 0 0	12 12 12	0.05	1.8 -0.6 1.8	0.0469049811992331
-1	0 0 0 0	13 13 13	0.05	2 -0.4 2	0.0438534969966013
-1	0 0 0 0	14 14 14	0.05	2.2 -0.2 2.2	0.040993453252921
-1	0 0 0 0	15 15 15	0.05	2.4 0 2.4	0.0383609033532783
-1	0 0 0 0	16 16 16	0.05	2.6 0.2 2.6	0.0358557087278534
-1	0 0 0 0	17 17 17	0.05	2.8 0.4 2.8	0.0336898595175759
-1	0 0 0 0	18 18 18	0.05	3 0.6 3	0.0317290034219846
+1	0 0 0 0	0 0 0	0.0394736842105263	-0.473684210526316 -3.38709677419355 -0.473684210526316	0.0384406247906555
+1	0 0 0 0	1 1 1	0.0394736842105263	-0.315789473684211 -3.19354838709677 -0.315789473684211	0.0406666370024992
+1	0 0 0 0	2 2 2	0.0394736842105263	-0.157894736842105 -3 -0.157894736842105	0.0430525505226901
+1	0 0 0 0	3 3 3	0.0394736842105263	0 -2.80645161290323 0	0.0456462065590836
+1	0 0 0 0	4 4 4	0.0394736842105263	0.157894736842105 -2.61290322580645 0.157894736842105	0.0482010619881774
+1	0 0 0 0	5 5 5	0.0394736842105263	0.315789473684211 -2.41935483870968 0.315789473684211	0.0506729792145525
+1	0 0 0 0	6 6 6	0.0394736842105263	0.473684210526316 -2.2258064516129 0.473684210526316	0.0528923922372765
+1	0 0 0 0	7 7 7	0.0394736842105263	0.631578947368421 -2.03225806451613 0.631578947368421	0.0546408107426088
+1	0 0 0 0	8 8 8	0.0394736842105263	0.789473684210526 -1.83870967741935 0.789473684210526	0.055702710072967
+1	0 0 0 0	9 9 9	0.0394736842105263	0.947368421052632 -1.64516129032258 0.947368421052632	0.0559437954599206
+1	0 0 0 0	10 10 10	0.0394736842105263	1.10526315789474 -1.45161290322581 1.10526315789474	0.0553631134254697
+1	0 0 0 0	11 11 11	0.0394736842105263	1.26315789473684 -1.25806451612903 1.26315789473684	0.0540817335899174
+1	0 0 0 0	12 12 12	0.0394736842105263	1.42105263157895 -1.06451612903226 1.42105263157895	0.0522824073867827
+1	0 0 0 0	13 13 13	0.0394736842105263	1.57894736842105 -0.870967741935484 1.57894736842105	0.0501504749871093
+1	0 0 0 0	14 14 14	0.0394736842105263	1.73684210526316 -0.67741935483871 1.73684210526316	0.0478424465064427
+1	0 0 0 0	15 15 15	0.0394736842105263	1.89473684210526 -0.483870967741935 1.89473684210526	0.0454774811497176
+1	0 0 0 0	16 16 16	0.0394736842105263	2.05263157894737 -0.290322580645161 2.05263157894737	0.0431397175709769
+1	0 0 0 0	17 17 17	0.0394736842105263	2.21052631578947 -0.0967741935483871 2.21052631578947	0.0408842695110191
+1	0 0 0 0	18 18 18	0.0394736842105263	2.36842105263158 0.0967741935483871 2.36842105263158	0.0387438868410849
+1	0 0 0 0	19 19 19	0.0394736842105263	2.52631578947368 0.290322580645161 2.52631578947368	0.0367357717167094
+1	0 0 0 0	20 20 20	0.0394736842105263	2.68421052631579 0.483870967741935 2.68421052631579	0.0348648154509921
+1	0 0 0 0	21 21 21	0.0394736842105263	2.84210526315789 0.67741935483871 2.84210526315789	0.0331344346165403
+1	0 0 0 0	22 22 22	0.0394736842105263	3 0.870967741935484 3	0.0314739539301232
+1	0 0 0 0	23 23 23	0.0394736842105263	3.1578947368421 1.06451612903226 3.1578947368421	0.0299969422192959
+1	0 0 0 0	24 24 24	0.0394736842105263	3.31578947368421 1.25806451612903 3.31578947368421	0.0286333051946211
 
 
diff --git a/test/checkpointML/phi.x.asc b/test/checkpointML/phi.x.asc
index ffc34e1..44d8f9f 100644
--- a/test/checkpointML/phi.x.asc
+++ b/test/checkpointML/phi.x.asc
@@ -1,5 +1,5 @@
 # 1D ASCII output created by CarpetIOASCII
-# created on linux-hn3d.site by diener on Apr 11 2011 at 13:29:32-0500
+# created on horizon.tapir.caltech.edu by rhaas on Oct 18 2011 at 08:26:34-0700
 # parameter filename: "checkpointML.par"
 #
 # phi x (phi)
@@ -7,48 +7,60 @@
 # iteration 0
 # 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
-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
-0	0 0 0 0	8 15 3	0	1 0 0	0
-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	0.0517444047880428
-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
+0	0 0 0 0	0 18 3	0	-0.473684210526316 0.0967741935483871 0	0
+0	0 0 0 0	1 18 3	0	-0.315789473684211 0.0967741935483871 0	0
+0	0 0 0 0	2 18 3	0	-0.157894736842105 0.0967741935483871 0	0
+0	0 0 0 0	3 18 3	0	0 0.0967741935483871 0	0
+0	0 0 0 0	4 18 3	0	0.157894736842105 0.0967741935483871 0	0
+0	0 0 0 0	5 18 3	0	0.315789473684211 0.0967741935483871 0	0
+0	0 0 0 0	6 18 3	0	0.473684210526316 0.0967741935483871 0	0
+0	0 0 0 0	7 18 3	0	0.631578947368421 0.0967741935483871 0	0
+0	0 0 0 0	8 18 3	0	0.789473684210526 0.0967741935483871 0	0
+0	0 0 0 0	9 18 3	0	0.947368421052632 0.0967741935483871 0	0
+0	0 0 0 0	10 18 3	0	1.10526315789474 0.0967741935483871 0	0.0954322327018386
+0	0 0 0 0	11 18 3	0	1.26315789473684 0.0967741935483871 0	0.0855778361054629
+0	0 0 0 0	12 18 3	0	1.42105263157895 0.0967741935483871 0	0.0779496974951371
+0	0 0 0 0	13 18 3	0	1.57894736842105 0.0967741935483871 0	0.0717805744971315
+0	0 0 0 0	14 18 3	0	1.73684210526316 0.0967741935483871 0	0.066642711739715
+0	0 0 0 0	15 18 3	0	1.89473684210526 0.0967741935483871 0	0.0622719761229837
+0	0 0 0 0	16 18 3	0	2.05263157894737 0.0967741935483871 0	0.0584933160934993
+0	0 0 0 0	17 18 3	0	2.21052631578947 0.0967741935483871 0	0.0551845481750153
+0	0 0 0 0	18 18 3	0	2.36842105263158 0.0967741935483871 0	0.0522569489898341
+0	0 0 0 0	19 18 3	0	2.52631578947368 0.0967741935483871 0	0.0496440522995598
+0	0 0 0 0	20 18 3	0	2.68421052631579 0.0967741935483871 0	0.0472947950689567
+0	0 0 0 0	21 18 3	0	2.84210526315789 0.0967741935483871 0	0.0451691234847827
+0	0 0 0 0	22 18 3	0	3 0.0967741935483871 0	0.0432350657386359
+0	0 0 0 0	23 18 3	0	3.1578947368421 0.0967741935483871 0	0.0414667183811882
+0	0 0 0 0	24 18 3	0	3.31578947368421 0.0967741935483871 0	0.0398428229591822
 
 
 # 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	-5.55861217568079e-06
-1	0 0 0 0	8 15 3	0.05	1 0 0	0.0128540488306166
-1	0 0 0 0	9 15 3	0.05	1.2 0 0	0.100181376469298
-1	0 0 0 0	10 15 3	0.05	1.4 0 0	0.0790557964651063
-1	0 0 0 0	11 15 3	0.05	1.6 0 0	0.0711580039993047
-1	0 0 0 0	12 15 3	0.05	1.8 0 0	0.064890882841865
-1	0 0 0 0	13 15 3	0.05	2 0 0	0.0597530390392576
-1	0 0 0 0	14 15 3	0.05	2.2 0 0	0.0554334185974614
-1	0 0 0 0	15 15 3	0.05	2.4 0 0	0.051725428933196
-1	0 0 0 0	16 15 3	0.05	2.6 0 0	0.0483718099653047
-1	0 0 0 0	17 15 3	0.05	2.8 0 0	0.0455714836620408
-1	0 0 0 0	18 15 3	0.05	3 0 0	0.0431061011045797
+1	0 0 0 0	0 18 3	0.0394736842105263	-0.473684210526316 0.0967741935483871 0	0
+1	0 0 0 0	1 18 3	0.0394736842105263	-0.315789473684211 0.0967741935483871 0	0
+1	0 0 0 0	2 18 3	0.0394736842105263	-0.157894736842105 0.0967741935483871 0	0
+1	0 0 0 0	3 18 3	0.0394736842105263	0 0.0967741935483871 0	0
+1	0 0 0 0	4 18 3	0.0394736842105263	0.157894736842105 0.0967741935483871 0	0
+1	0 0 0 0	5 18 3	0.0394736842105263	0.315789473684211 0.0967741935483871 0	0
+1	0 0 0 0	6 18 3	0.0394736842105263	0.473684210526316 0.0967741935483871 0	0
+1	0 0 0 0	7 18 3	0.0394736842105263	0.631578947368421 0.0967741935483871 0	0
+1	0 0 0 0	8 18 3	0.0394736842105263	0.789473684210526 0.0967741935483871 0	-2.03812640905219e-06
+1	0 0 0 0	9 18 3	0.0394736842105263	0.947368421052632 0.0967741935483871 0	0.0105872761869283
+1	0 0 0 0	10 18 3	0.0394736842105263	1.10526315789474 0.0967741935483871 0	0.107450238381489
+1	0 0 0 0	11 18 3	0.0394736842105263	1.26315789473684 0.0967741935483871 0	0.0856014999050578
+1	0 0 0 0	12 18 3	0.0394736842105263	1.42105263157895 0.0967741935483871 0	0.0779585526065015
+1	0 0 0 0	13 18 3	0.0394736842105263	1.57894736842105 0.0967741935483871 0	0.0717830053078323
+1	0 0 0 0	14 18 3	0.0394736842105263	1.73684210526316 0.0967741935483871 0	0.0666425334199812
+1	0 0 0 0	15 18 3	0.0394736842105263	1.89473684210526 0.0967741935483871 0	0.0622707708013313
+1	0 0 0 0	16 18 3	0.0394736842105263	2.05263157894737 0.0967741935483871 0	0.0584917706597429
+1	0 0 0 0	17 18 3	0.0394736842105263	2.21052631578947 0.0967741935483871 0	0.0551829645605512
+1	0 0 0 0	18 18 3	0.0394736842105263	2.36842105263158 0.0967741935483871 0	0.0522553774697564
+1	0 0 0 0	19 18 3	0.0394736842105263	2.52631578947368 0.0967741935483871 0	0.0496437292982971
+1	0 0 0 0	20 18 3	0.0394736842105263	2.68421052631579 0.0967741935483871 0	0.0472934540015869
+1	0 0 0 0	21 18 3	0.0394736842105263	2.84210526315789 0.0967741935483871 0	0.045161546439616
+1	0 0 0 0	22 18 3	0.0394736842105263	3 0.0967741935483871 0	0.0431387468321966
+1	0 0 0 0	23 18 3	0.0394736842105263	3.1578947368421 0.0967741935483871 0	0.0413694534038742
+1	0 0 0 0	24 18 3	0.0394736842105263	3.31578947368421 0.0967741935483871 0	0.0397529483430173
 
 
diff --git a/test/checkpointML/phi.y.asc b/test/checkpointML/phi.y.asc
index 7ed7256..22e2d4c 100644
--- a/test/checkpointML/phi.y.asc
+++ b/test/checkpointML/phi.y.asc
@@ -1,5 +1,5 @@
 # 1D ASCII output created by CarpetIOASCII
-# created on linux-hn3d.site by diener on Apr 11 2011 at 13:29:32-0500
+# created on horizon.tapir.caltech.edu by rhaas on Oct 18 2011 at 08:26:34-0700
 # parameter filename: "checkpointML.par"
 #
 # phi y (phi)
@@ -7,72 +7,82 @@
 # iteration 0
 # 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
-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	0.0517444047880428
-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
-0	0 0 0 0	3 11 3	0	0 -0.8 0	0
-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
-0	0 0 0 0	3 20 3	0	0 1 0	0
-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
+0	0 0 0 0	3 0 3	0	0 -3.38709677419355 0	0.0391651222127438
+0	0 0 0 0	3 1 3	0	0 -3.19354838709677 0	0.0411035200780633
+0	0 0 0 0	3 2 3	0	0 -3 0	0.0432533402490022
+0	0 0 0 0	3 3 3	0	0 -2.80645161290323 0	0.0456532124216328
+0	0 0 0 0	3 4 3	0	0 -2.61290322580645 0	0.0483524166720016
+0	0 0 0 0	3 5 3	0	0 -2.41935483870968 0	0.0514150876235368
+0	0 0 0 0	3 6 3	0	0 -2.2258064516129 0	0.0549267237371108
+0	0 0 0 0	3 7 3	0	0 -2.03225806451613 0	0.0590047255312973
+0	0 0 0 0	3 8 3	0	0 -1.83870967741935 0	0.0638164290276061
+0	0 0 0 0	3 9 3	0	0 -1.64516129032258 0	0.0696122261356655
+0	0 0 0 0	3 10 3	0	0 -1.45161290322581 0	0.0767923409029314
+0	0 0 0 0	3 11 3	0	0 -1.25806451612903 0	0.0860600001086798
+0	0 0 0 0	3 12 3	0	0 -1.06451612903226 0	0.0988470523532851
+0	0 0 0 0	3 13 3	0	0 -0.870967741935484 0	0
+0	0 0 0 0	3 14 3	0	0 -0.67741935483871 0	0
+0	0 0 0 0	3 15 3	0	0 -0.483870967741935 0	0
+0	0 0 0 0	3 16 3	0	0 -0.290322580645161 0	0
+0	0 0 0 0	3 17 3	0	0 -0.0967741935483871 0	0
+0	0 0 0 0	3 18 3	0	0 0.0967741935483871 0	0
+0	0 0 0 0	3 19 3	0	0 0.290322580645161 0	0
+0	0 0 0 0	3 20 3	0	0 0.483870967741935 0	0
+0	0 0 0 0	3 21 3	0	0 0.67741935483871 0	0
+0	0 0 0 0	3 22 3	0	0 0.870967741935484 0	0
+0	0 0 0 0	3 23 3	0	0 1.06451612903226 0	0.0988470523532852
+0	0 0 0 0	3 24 3	0	0 1.25806451612903 0	0.0860600001086799
+0	0 0 0 0	3 25 3	0	0 1.45161290322581 0	0.0767923409029314
+0	0 0 0 0	3 26 3	0	0 1.64516129032258 0	0.0696122261356655
+0	0 0 0 0	3 27 3	0	0 1.83870967741935 0	0.0638164290276061
+0	0 0 0 0	3 28 3	0	0 2.03225806451613 0	0.0590047255312973
+0	0 0 0 0	3 29 3	0	0 2.2258064516129 0	0.0549267237371108
+0	0 0 0 0	3 30 3	0	0 2.41935483870968 0	0.0514150876235368
+0	0 0 0 0	3 31 3	0	0 2.61290322580645 0	0.0483524166720016
+0	0 0 0 0	3 32 3	0	0 2.80645161290323 0	0.0456532124216328
+0	0 0 0 0	3 33 3	0	0 3 0	0.0432533402490022
+0	0 0 0 0	3 34 3	0	0 3.19354838709677 0	0.0411035200780633
+0	0 0 0 0	3 35 3	0	0 3.38709677419355 0	0.0391651222127438
 
 
 # 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	0.043106101104579
-1	0 0 0 0	3 1 3	0.05	0 -2.8 0	0.045571483662028
-1	0 0 0 0	3 2 3	0.05	0 -2.6 0	0.0483718099653387
-1	0 0 0 0	3 3 3	0.05	0 -2.4 0	0.0517254289333582
-1	0 0 0 0	3 4 3	0.05	0 -2.2 0	0.0554334185977719
-1	0 0 0 0	3 5 3	0.05	0 -2 0	0.0597530390392624
-1	0 0 0 0	3 6 3	0.05	0 -1.8 0	0.0648908828424791
-1	0 0 0 0	3 7 3	0.05	0 -1.6 0	0.0711580039990124
-1	0 0 0 0	3 8 3	0.05	0 -1.4 0	0.0790557964653602
-1	0 0 0 0	3 9 3	0.05	0 -1.2 0	0.10018137646976
-1	0 0 0 0	3 10 3	0.05	0 -1 0	0.0128540488306257
-1	0 0 0 0	3 11 3	0.05	0 -0.8 0	-5.55861217568079e-06
-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	-5.55861217568079e-06
-1	0 0 0 0	3 20 3	0.05	0 1 0	0.0128540488306539
-1	0 0 0 0	3 21 3	0.05	0 1.2 0	0.100181376469254
-1	0 0 0 0	3 22 3	0.05	0 1.4 0	0.0790557964652248
-1	0 0 0 0	3 23 3	0.05	0 1.6 0	0.0711580039995225
-1	0 0 0 0	3 24 3	0.05	0 1.8 0	0.064890882842076
-1	0 0 0 0	3 25 3	0.05	0 2 0	0.0597530390392854
-1	0 0 0 0	3 26 3	0.05	0 2.2 0	0.0554334185976853
-1	0 0 0 0	3 27 3	0.05	0 2.4 0	0.0517254289338113
-1	0 0 0 0	3 28 3	0.05	0 2.6 0	0.0483718099653985
-1	0 0 0 0	3 29 3	0.05	0 2.8 0	0.0455714836620504
-1	0 0 0 0	3 30 3	0.05	0 3 0	0.043106101104561
+1	0 0 0 0	3 0 3	0.0394736842105263	0 -3.38709677419355 0	0.039079593753753
+1	0 0 0 0	3 1 3	0.0394736842105263	0 -3.19354838709677 0	0.0410063856680393
+1	0 0 0 0	3 2 3	0.0394736842105263	0 -3 0	0.0431549548349733
+1	0 0 0 0	3 3 3	0.0394736842105263	0 -2.80645161290323 0	0.0456462065590836
+1	0 0 0 0	3 4 3	0.0394736842105263	0 -2.61290322580645 0	0.0483538723939487
+1	0 0 0 0	3 5 3	0.0394736842105263	0 -2.41935483870968 0	0.0514176216245251
+1	0 0 0 0	3 6 3	0.0394736842105263	0 -2.2258064516129 0	0.0549297828538674
+1	0 0 0 0	3 7 3	0.0394736842105263	0 -2.03225806451613 0	0.0590102024219774
+1	0 0 0 0	3 8 3	0.0394736842105263	0 -1.83870967741935 0	0.0638264270211436
+1	0 0 0 0	3 9 3	0.0394736842105263	0 -1.64516129032258 0	0.0696314782286944
+1	0 0 0 0	3 10 3	0.0394736842105263	0 -1.45161290322581 0	0.0768323518615093
+1	0 0 0 0	3 11 3	0.0394736842105263	0 -1.25806451612903 0	0.0861525120864187
+1	0 0 0 0	3 12 3	0.0394736842105263	0 -1.06451612903226 0	0.108088909124677
+1	0 0 0 0	3 13 3	0.0394736842105263	0 -0.870967741935484 0	0.00829179022201144
+1	0 0 0 0	3 14 3	0.0394736842105263	0 -0.67741935483871 0	-8.66921704726185e-07
+1	0 0 0 0	3 15 3	0.0394736842105263	0 -0.483870967741935 0	0
+1	0 0 0 0	3 16 3	0.0394736842105263	0 -0.290322580645161 0	0
+1	0 0 0 0	3 17 3	0.0394736842105263	0 -0.0967741935483871 0	0
+1	0 0 0 0	3 18 3	0.0394736842105263	0 0.0967741935483871 0	0
+1	0 0 0 0	3 19 3	0.0394736842105263	0 0.290322580645161 0	0
+1	0 0 0 0	3 20 3	0.0394736842105263	0 0.483870967741935 0	0
+1	0 0 0 0	3 21 3	0.0394736842105263	0 0.67741935483871 0	-8.66921704726187e-07
+1	0 0 0 0	3 22 3	0.0394736842105263	0 0.870967741935484 0	0.00829179022200187
+1	0 0 0 0	3 23 3	0.0394736842105263	0 1.06451612903226 0	0.108088909123963
+1	0 0 0 0	3 24 3	0.0394736842105263	0 1.25806451612903 0	0.0861525120865722
+1	0 0 0 0	3 25 3	0.0394736842105263	0 1.45161290322581 0	0.0768323518615977
+1	0 0 0 0	3 26 3	0.0394736842105263	0 1.64516129032258 0	0.0696314782291297
+1	0 0 0 0	3 27 3	0.0394736842105263	0 1.83870967741935 0	0.063826427020573
+1	0 0 0 0	3 28 3	0.0394736842105263	0 2.03225806451613 0	0.059010202422049
+1	0 0 0 0	3 29 3	0.0394736842105263	0 2.2258064516129 0	0.0549297828542039
+1	0 0 0 0	3 30 3	0.0394736842105263	0 2.41935483870968 0	0.0514176216244545
+1	0 0 0 0	3 31 3	0.0394736842105263	0 2.61290322580645 0	0.0483538723935835
+1	0 0 0 0	3 32 3	0.0394736842105263	0 2.80645161290323 0	0.0456462065593351
+1	0 0 0 0	3 33 3	0.0394736842105263	0 3 0	0.0431549548350325
+1	0 0 0 0	3 34 3	0.0394736842105263	0 3.19354838709677 0	0.0410063856680461
+1	0 0 0 0	3 35 3	0.0394736842105263	0 3.38709677419355 0	0.0390795937537454
 
 
diff --git a/test/checkpointML/phi.z.asc b/test/checkpointML/phi.z.asc
index 143469c..3e82580 100644
--- a/test/checkpointML/phi.z.asc
+++ b/test/checkpointML/phi.z.asc
@@ -1,5 +1,5 @@
 # 1D ASCII output created by CarpetIOASCII
-# created on linux-hn3d.site by diener on Apr 11 2011 at 13:29:32-0500
+# created on horizon.tapir.caltech.edu by rhaas on Oct 18 2011 at 08:26:34-0700
 # parameter filename: "checkpointML.par"
 #
 # phi z (phi)
@@ -7,48 +7,60 @@
 # iteration 0
 # 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
-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
-0	0 0 0 0	3 15 8	0	0 0 1	0
-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
+0	0 0 0 0	3 18 0	0	0 0.0967741935483871 -0.473684210526316	0
+0	0 0 0 0	3 18 1	0	0 0.0967741935483871 -0.315789473684211	0
+0	0 0 0 0	3 18 2	0	0 0.0967741935483871 -0.157894736842105	0
+0	0 0 0 0	3 18 3	0	0 0.0967741935483871 0	0
+0	0 0 0 0	3 18 4	0	0 0.0967741935483871 0.157894736842105	0
+0	0 0 0 0	3 18 5	0	0 0.0967741935483871 0.315789473684211	0
+0	0 0 0 0	3 18 6	0	0 0.0967741935483871 0.473684210526316	0
+0	0 0 0 0	3 18 7	0	0 0.0967741935483871 0.631578947368421	0
+0	0 0 0 0	3 18 8	0	0 0.0967741935483871 0.789473684210526	0
+0	0 0 0 0	3 18 9	0	0 0.0967741935483871 0.947368421052632	0
+0	0 0 0 0	3 18 10	0	0 0.0967741935483871 1.10526315789474	0.0728605034406997
+0	0 0 0 0	3 18 11	0	0 0.0967741935483871 1.26315789473684	0.0690836399681641
+0	0 0 0 0	3 18 12	0	0 0.0967741935483871 1.42105263157895	0.0654595927457506
+0	0 0 0 0	3 18 13	0	0 0.0967741935483871 1.57894736842105	0.0620634231951677
+0	0 0 0 0	3 18 14	0	0 0.0967741935483871 1.73684210526316	0.0589178530075244
+0	0 0 0 0	3 18 15	0	0 0.0967741935483871 1.89473684210526	0.0560204842413863
+0	0 0 0 0	3 18 16	0	0 0.0967741935483871 2.05263157894737	0.0533574608984126
+0	0 0 0 0	3 18 17	0	0 0.0967741935483871 2.21052631578947	0.0509103631062759
+0	0 0 0 0	3 18 18	0	0 0.0967741935483871 2.36842105263158	0.0486596609792315
+0	0 0 0 0	3 18 19	0	0 0.0967741935483871 2.52631578947368	0.0465863949183873
+0	0 0 0 0	3 18 20	0	0 0.0967741935483871 2.68421052631579	0.0446729349424924
+0	0 0 0 0	3 18 21	0	0 0.0967741935483871 2.84210526315789	0.0429032629826683
+0	0 0 0 0	3 18 22	0	0 0.0967741935483871 3	0.0412630124133166
+0	0 0 0 0	3 18 23	0	0 0.0967741935483871 3.1578947368421	0.0397393894108249
+0	0 0 0 0	3 18 24	0	0 0.0967741935483871 3.31578947368421	0.0383210424120719
 
 
 # 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	-2.98923381217742e-06
-1	0 0 0 0	3 15 8	0.05	0 0 1	0.0101336557200675
-1	0 0 0 0	3 15 9	0.05	0 0 1.2	0.0823024250963386
-1	0 0 0 0	3 15 10	0.05	0 0 1.4	0.065974846240459
-1	0 0 0 0	3 15 11	0.05	0 0 1.6	0.0616692745608533
-1	0 0 0 0	3 15 12	0.05	0 0 1.8	0.057763241739307
-1	0 0 0 0	3 15 13	0.05	0 0 2	0.054251486484966
-1	0 0 0 0	3 15 14	0.05	0 0 2.2	0.0510906564457798
-1	0 0 0 0	3 15 15	0.05	0 0 2.4	0.0482271970910749
-1	0 0 0 0	3 15 16	0.05	0 0 2.6	0.0454510902649566
-1	0 0 0 0	3 15 17	0.05	0 0 2.8	0.0431479470523085
-1	0 0 0 0	3 15 18	0.05	0 0 3	0.0410763717375216
+1	0 0 0 0	3 18 0	0.0394736842105263	0 0.0967741935483871 -0.473684210526316	0
+1	0 0 0 0	3 18 1	0.0394736842105263	0 0.0967741935483871 -0.315789473684211	0
+1	0 0 0 0	3 18 2	0.0394736842105263	0 0.0967741935483871 -0.157894736842105	0
+1	0 0 0 0	3 18 3	0.0394736842105263	0 0.0967741935483871 0	0
+1	0 0 0 0	3 18 4	0.0394736842105263	0 0.0967741935483871 0.157894736842105	0
+1	0 0 0 0	3 18 5	0.0394736842105263	0 0.0967741935483871 0.315789473684211	0
+1	0 0 0 0	3 18 6	0.0394736842105263	0 0.0967741935483871 0.473684210526316	0
+1	0 0 0 0	3 18 7	0.0394736842105263	0 0.0967741935483871 0.631578947368421	0
+1	0 0 0 0	3 18 8	0.0394736842105263	0 0.0967741935483871 0.789473684210526	-1.41495456420149e-06
+1	0 0 0 0	3 18 9	0.0394736842105263	0 0.0967741935483871 0.947368421052632	0.0105680824422223
+1	0 0 0 0	3 18 10	0.0394736842105263	0 0.0967741935483871 1.10526315789474	0.0846124156219452
+1	0 0 0 0	3 18 11	0.0394736842105263	0 0.0967741935483871 1.26315789473684	0.0690945541497338
+1	0 0 0 0	3 18 12	0.0394736842105263	0 0.0967741935483871 1.42105263157895	0.0654660179697771
+1	0 0 0 0	3 18 13	0.0394736842105263	0 0.0967741935483871 1.57894736842105	0.0620665261136459
+1	0 0 0 0	3 18 14	0.0394736842105263	0 0.0967741935483871 1.73684210526316	0.0589191376220504
+1	0 0 0 0	3 18 15	0.0394736842105263	0 0.0967741935483871 1.89473684210526	0.0560207768780707
+1	0 0 0 0	3 18 16	0.0394736842105263	0 0.0967741935483871 2.05263157894737	0.0533572231647079
+1	0 0 0 0	3 18 17	0.0394736842105263	0 0.0967741935483871 2.21052631578947	0.0509098556915988
+1	0 0 0 0	3 18 18	0.0394736842105263	0 0.0967741935483871 2.36842105263158	0.0486589283885526
+1	0 0 0 0	3 18 19	0.0394736842105263	0 0.0967741935483871 2.52631578947368	0.0465870443817107
+1	0 0 0 0	3 18 20	0.0394736842105263	0 0.0967741935483871 2.68421052631579	0.0446721257243426
+1	0 0 0 0	3 18 21	0.0394736842105263	0 0.0967741935483871 2.84210526315789	0.0428924594329335
+1	0 0 0 0	3 18 22	0.0394736842105263	0 0.0967741935483871 3	0.0411316971390557
+1	0 0 0 0	3 18 23	0.0394736842105263	0 0.0967741935483871 3.1578947368421	0.0396081268516033
+1	0 0 0 0	3 18 24	0.0394736842105263	0 0.0967741935483871 3.31578947368421	0.0382010380269472
 
 
diff --git a/test/recoverML.par b/test/recoverML.par
index 27a192c..54f0c79 100644
--- a/test/recoverML.par
+++ b/test/recoverML.par
@@ -12,21 +12,36 @@ IO::out_dir = $parfile
 IO::parfile_write = "no"
 
 ActiveThorns = "Carpet CarpetLib"
+carpet::domain_from_coordbase = "true"
 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 = "Boundary CartGrid3D CoordBase RotatingSymmetry180 Slab SymBase ReflectionSymmetry"
+grid::domain = "full"
+grid::avoid_origin  = "false"
+grid::type = "coordbase"
+CoordBase::domainsize = "minmax"
+CoordBase::spacing    = "numcells"
+CoordBase::xmin =  0.0
+CoordBase::ymin = -3.0
+CoordBase::zmin =  0.0
+CoordBase::xmax =  3.0
+CoordBase::ymax =  3.0
+CoordBase::zmax =  3.0
+CoordBase::ncells_x = 19
+CoordBase::ncells_y = 31
+CoordBase::ncells_z = 19
+
+ReflectionSymmetry::reflection_z   = "yes"
+ReflectionSymmetry::avoid_origin_z = "no"
+
+CoordBase::boundary_size_x_lower = 3
+CoordBase::boundary_size_y_lower = 3
+CoordBase::boundary_size_z_lower = 3
+CoordBase::boundary_size_x_upper = 3
+CoordBase::boundary_size_y_upper = 3
+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"
 ADMBase::initial_lapse = "exact"
@@ -41,6 +56,8 @@ 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"
 # These are necessary
 ML_BSSN_O2::ML_log_confac_bound = "none"
 ML_BSSN_O2::ML_metric_bound     = "none"
@@ -52,6 +69,14 @@ 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
+
+# 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
+
+
 ActiveThorns = "Time"
 Time::dtfac = 0.25
 
@@ -80,6 +105,7 @@ IO::recover = "manual"
 IO::recover_dir = "../../../arrangements/EinsteinAnalysis/AHFinderDirect/test/checkpointML"
 IO::recover_file = "checkpoint.chkpt.it_1"
 
+
 ########################################
 
 ActiveThorns = "SphericalSurface"
diff --git a/test/recoverML/BH_diagnostics.ah1.gp b/test/recoverML/BH_diagnostics.ah1.gp
index ee1e8cf..f4a3033 100644
--- a/test/recoverML/BH_diagnostics.ah1.gp
+++ b/test/recoverML/BH_diagnostics.ah1.gp
@@ -40,4 +40,4 @@
 # column 38 = minimum  of the mean curvature
 # column 39 = maximum  of the mean curvature
 # column 40 = integral of the mean curvature
-2	0.100	0.000040	0.000011	0.000000	1.036183212	2.756504825	1.995706450	1.198783043	5.603037915e-06	0.000000000	1.198796616	-0.000000000	1.078878092	-1.895491341	1.895887231	-1.896001049	1.895626797	-1.798539976	1.798539976	12.56741403	10.83674085	11.22768168	0.8622888386	0.8933963385	45.23657989	0.9486586121	1.897317224	-3.301036716e-14	-1.468460544	4.892824753e-14	0.7342302721	0.000000000	0.000000000	0.000000000	0.000000000	0.000000000	0.7064618973	0.7471938879	33.14710906
+2	0.079	-0.000012	0.000007	0.000000	1.036578161	2.756956588	1.996054140	1.199203895	-3.558143224e-05	4.810324948e-16	1.199376576	3.926199817e-17	1.079229930	-1.895911236	1.896119173	-1.896473699	1.896077216	-1.798803762	1.798803762	12.56740324	10.83681308	11.22788790	0.8622953262	0.8934135145	45.23771048	0.9486704668	1.897340934	-4.798152232e-15	-1.468339683	7.112813451e-15	0.7341698414	0.000000000	0.000000000	0.000000000	0.000000000	0.000000000	0.7067024755	0.7475914047	33.16386003
diff --git a/test/recoverML/h.t2.ah1.gp b/test/recoverML/h.t2.ah1.gp
index a06eab6..6039cfa 100644
--- a/test/recoverML/h.t2.ah1.gp
+++ b/test/recoverML/h.t2.ah1.gp
@@ -1,4 +1,4 @@
-# N_patches = 5
+# N_patches = 6
 # origin = 0.5 0.7 0
 
 ### +z patch
@@ -9,1220 +9,2329 @@
 # dpy = drho = dmu
 #
 # dpx	dpy	gridfn	global_x	global_y	global_z
--45	-45	2.45707970866597	-0.9185956312	-0.7185956312	1.418595631
--40	-45	2.43472653653106	-0.7423766879	-0.7806068812	1.480606881
--35	-45	2.40903745562385	-0.5689202881	-0.8265763788	1.526576379
--30	-45	2.38081956495878	-0.3998652122	-0.8586122675	1.558612267
--25	-45	2.35064490343711	-0.2360941393	-0.8785589758	1.578558976
--20	-45	2.31889805394155	-0.07797042796	-0.8879606999	1.587960700
--15	-45	2.28581616817828	0.07447980441	-0.8880629896	1.588062990
--10	-45	2.25152820174903	0.2214318568	-0.8798384463	1.579838446
--5	-45	2.21608112369455	0.3631663305	-0.8640159995	1.564016000
-0	-45	2.17944985081656	0.5000000000	-0.8411037688	1.541103769
-5	-45	2.14155714742829	0.6322321281	-0.8114201401	1.511420140
-10	-45	2.10228696007277	0.7601034154	-0.7751197707	1.475119771
-15	-45	2.06148622285814	0.8837596535	-0.7322105249	1.432210525
-20	-45	2.01898430092580	1.003218854	-0.6825824375	1.382582437
-25	-45	1.97459467900569	1.118335661	-0.6260251047	1.326025105
-30	-45	1.92812711253469	1.228763548	-0.5622554918	1.262255492
-35	-45	1.87940442372279	1.333915435	-0.4909546664	1.190954666
-40	-45	1.82829032151652	1.432928294	-0.4118206460	1.111820646
-45	-45	1.77471813253469	1.524633992	-0.3246339916	1.024633992
-
--45	-40	2.40911365607538	-0.9650311660	-0.5293071110	1.465031166
--40	-40	2.38517861459697	-0.7897047241	-0.5897047241	1.537010238
--35	-40	2.35776843624948	-0.6144796252	-0.6355460937	1.591641855
--30	-40	2.32767156446175	-0.4415006600	-0.6683424062	1.630726979
--25	-40	2.29547443959628	-0.2721849072	-0.6895119660	1.655955877
--20	-40	2.26159767053428	-0.1074049929	-0.7003158982	1.668831502
--15	-40	2.22632497255598	0.05235514679	-0.7018278160	1.670633336
--10	-40	2.18983668601916	0.2068713234	-0.6949320939	1.662415334
--5	-40	2.15223638913501	0.3560795392	-0.6803343281	1.645018395
-0	-40	2.11355570341972	0.5000000000	-0.6585674185	1.619077602
-5	-40	2.07377996086152	0.6386740644	-0.6300163883	1.585051809
-10	-40	2.03286250417846	0.7721163178	-0.5949391010	1.543248326
-15	-40	1.99072570402091	0.9002731526	-0.5534803770	1.493839743
-20	-40	1.94728328270327	1.022988507	-0.5057015156	1.436899113
-25	-40	1.90244916792896	1.139973379	-0.4516032756	1.372427341
-30	-40	1.85614822658731	1.250778077	-0.3911532234	1.300385774
-35	-40	1.80833261910125	1.354770057	-0.3243209335	1.220738152
-40	-40	1.75900171284494	1.451120727	-0.2511207273	1.133501544
-45	-40	1.70823353970680	1.538811668	-0.1716664871	1.038811668
-
--45	-35	2.35991622603876	-0.9954488807	-0.3471245793	1.495448881
--40	-35	2.33387243521431	-0.8220103239	-0.4031843657	1.575510553
--35	-35	2.30436513927677	-0.6465203116	-0.4465203116	1.637400698
--30	-35	2.27215116624740	-0.4714242775	-0.4781385378	1.682556204
--25	-35	2.23782011015937	-0.2985234608	-0.4990627581	1.712439088
--20	-35	2.20182044324183	-0.1291004002	-0.5102661180	1.728439144
--15	-35	2.16447886027946	0.03596243302	-0.5126276607	1.731811777
--10	-35	2.12602465696276	0.1960739263	-0.5069130149	1.723650416
--5	-35	2.08661239904311	0.3508423089	-0.4937699753	1.704880211
-0	-35	2.04632880919161	0.5000000000	-0.4737259860	1.676254427
-5	-35	2.00521979739672	0.6433394891	-0.4472045259	1.638377857
-10	-35	1.96330551849295	0.7806645425	-0.4145397466	1.591727718
-15	-35	1.92058069252986	0.9117488085	-0.3759861485	1.536667473
-20	-35	1.87703308211526	1.036302707	-0.3317415067	1.473479576
-25	-35	1.83265797648905	1.153949074	-0.2819698724	1.402398316
-30	-35	1.78746629786183	1.264204505	-0.2268234270	1.323641030
-35	-35	1.74150209739830	1.366471851	-0.1664718509	1.237450047
-40	-35	1.69484699851794	1.460037573	-0.1011272094	1.144128227
-45	-35	1.64764914713304	1.544094297	-0.03108269731	1.044094297
-
--45	-30	2.31017937135343	-1.012367405	-0.1731657287	1.512367405
--40	-30	2.28159734093304	-0.8412572646	-0.2228644776	1.598448164
--35	-30	2.24967600525413	-0.6664848883	-0.2618153583	1.665913068
--30	-30	2.21514445936407	-0.4906427182	-0.2906427182	1.715843520
--25	-30	2.17859578296874	-0.3157829943	-0.3100467430	1.749452277
--20	-30	2.14050189017189	-0.1434917595	-0.3207431971	1.767979079
--15	-30	2.10122802309011	0.02502870079	-0.3234209141	1.772617021
--10	-30	2.06104896393568	0.1888768553	-0.3187155173	1.764467034
--5	-30	2.02016551403293	0.3473747619	-0.3071958897	1.744514454
-0	-30	1.97871565143969	0.5000000000	-0.2893578257	1.713618021
-5	-30	1.93679981795745	0.6463268882	-0.2656321733	1.672523986
-10	-30	1.89449424300253	0.7859810790	-0.2363924470	1.621879294
-15	-30	1.85185185857576	0.9186011578	-0.2019601400	1.562240789
-20	-30	1.80892056873617	1.043809601	-0.1626216931	1.494104600
-25	-30	1.76575308138825	1.161192566	-0.1186434412	1.417932033
-30	-30	1.72241196930804	1.270286050	-0.07028604973	1.334174574
-35	-30	1.67899159996984	1.370577952	-0.01782776879	1.243314167
-40	-30	1.63561101233112	1.461508463	0.03842520089	1.145881165
-45	-30	1.59243397892851	1.542492750	0.09811653035	1.042492750
-
--45	-25	2.26033331355598	-1.017910866	-0.007813461092	1.517910866
--40	-25	2.22889196641217	-0.8492078173	-0.04978693146	1.607923263
--35	-25	2.19432814752997	-0.6757590116	-0.08300418279	1.679157889
--30	-25	2.15734911320475	-0.5001963018	-0.1078271027	1.732390812
--25	-25	2.11855459813495	-0.3247143674	-0.1247143674	1.768605668
--20	-25	2.07844087310732	-0.1511034296	-0.1341740255	1.788891971
--15	-25	2.03740393679903	0.01920186455	-0.1367252409	1.794363070
--10	-25	1.99575703340037	0.1850611434	-0.1328753779	1.786107012
--5	-25	1.95374427097206	0.3455690851	-0.1231045641	1.765153434
-0	-25	1.91155029599205	0.5000000000	-0.1078560633	1.732452919
-5	-25	1.86931723644161	0.6477575010	-0.08753579570	1.688875964
-10	-25	1.82716210084490	0.7883338669	-0.06251682935	1.635222618
-15	-25	1.78518014600423	0.9212769349	-0.03314145553	1.572226925
-20	-25	1.74345628399228	1.046164378	0.0002707147152	1.500574295
-25	-25	1.70207875188785	1.162587975	0.03741202502	1.420924498
-30	-25	1.66113065969025	1.270138098	0.07798367462	1.333918314
-35	-25	1.62071938963056	1.368409508	0.1216771714	1.240217308
-40	-25	1.58096406998584	1.456999762	0.1681724298	1.140507905
-45	-25	1.54201230641624	1.535527469	0.2171256110	1.035527469
-
--45	-20	2.21061556977450	-1.013809821	0.1490182849	1.513809821
--40	-20	2.17610272493094	-0.8473798994	0.1155566760	1.605744836
--35	-20	2.13876361976325	-0.6756059179	0.08891608843	1.678939248
--30	-20	2.09929405507759	-0.5010923771	0.06889641099	1.733942860
--25	-20	2.05829889180524	-0.3260901209	0.05520635448	1.771555981
--20	-20	2.01629464687335	-0.1525043558	0.04749564421	1.792740984
--15	-20	1.97370493778410	0.01808266590	0.04538498364	1.798539976
--10	-20	1.93087396095046	0.1843707289	0.04848507431	1.790022547
--5	-20	1.88808111248797	0.3452981488	0.05640954221	1.768250250
-0	-20	1.84554470936168	0.5000000000	0.06878653399	1.734244745
-5	-20	1.80343696772631	0.6477664469	0.08526220299	1.688978216
-10	-20	1.76190142339018	0.7880082663	0.1054997384	1.633376045
-15	-20	1.72105540179452	0.9202281786	0.1291807816	1.568312913
-20	-20	1.68100109616320	1.043998140	0.1560018601	1.494622606
-25	-20	1.64183132307155	1.158942509	0.1856711975	1.413106771
-30	-20	1.60363323660127	1.264726125	0.2179052269	1.324544503
-35	-20	1.56650004501944	1.361052015	0.2524222658	1.229709718
-40	-20	1.53052697437529	1.447658057	0.2889411551	1.129374894
-45	-20	1.49582316344893	1.524326358	0.3271756956	1.024326358
-
--45	-15	2.16111880246334	-1.001429920	0.2976930655	1.501429920
--40	-15	2.12343240082151	-0.8370404777	0.2730436495	1.593422793
--35	-15	2.08328606593208	-0.6671402087	0.2533691666	1.666848963
--30	-15	2.04137267363290	-0.4942678590	0.2385586808	1.722122448
--25	-15	1.99830037077637	-0.3206661080	0.2284297458	1.759924148
--20	-15	1.95459826328466	-0.1482779415	0.2227479213	1.781129006
--15	-15	1.91071172436659	0.02124670681	0.2212467068	1.786731614
--10	-15	1.86700969815217	0.1865273579	0.2236421507	1.777791696
--5	-15	1.82379091648952	0.3464232910	0.2296447162	1.755389817
-0	-15	1.78129153686786	0.5000000000	0.2389678254	1.720595500
-5	-15	1.73970206580625	0.6464958047	0.2513312127	1.674454710
-10	-15	1.69917807485771	0.7852935585	0.2664635196	1.617980172
-15	-15	1.65983921276869	0.9158939725	0.2841060275	1.552137436
-20	-15	1.62178516240370	1.037894444	0.3040105251	1.477852840
-25	-15	1.58509681581965	1.150970822	0.3259398641	1.396011432
-30	-15	1.54984500203342	1.254865141	0.3496658687	1.307464778
-35	-15	1.51609493317529	1.349377042	0.3749679486	1.213036130
-40	-15	1.48390687796859	1.434356827	0.4016323831	1.113523106
-45	-15	1.45334462778220	1.509706225	0.4294500324	1.009706225
-
--45	-10	2.11184369664237	-0.9818254828	0.4387141867	1.481825483
--40	-10	2.07098163065683	-0.8192210912	0.4227811058	1.572186475
--35	-10	2.02809335015976	-0.6513188484	0.4100737063	1.644253718
--30	-10	1.98387033524078	-0.4805684048	0.4005272615	1.698394297
--25	-10	1.93892223240999	-0.3091569064	0.3940299141	1.735242586
--20	-10	1.89378219107195	-0.1389994316	0.3904339151	1.755636509
--15	-10	1.84890486498089	0.02826150506	0.3895671760	1.760552031
--10	-10	1.80466896434764	0.1912430313	0.3912430313	1.751047783
--5	-10	1.76137864259164	0.3488006456	0.3952687974	1.728216529
-0	-10	1.71927337721257	0.5000000000	0.4014513111	1.693153751
-5	-10	1.67854562661331	0.6440888455	0.4095995063	1.646943040
-10	-10	1.63934640120698	0.7804722836	0.4195277164	1.590637363
-15	-10	1.60178404040349	0.9086868972	0.4310589893	1.525240265
-20	-10	1.56594122587444	1.028379429	0.4440242617	1.451710551
-25	-10	1.53187674420231	1.139287449	0.4582634047	1.370956358
-30	-10	1.49963462782742	1.241225023	0.4736244750	1.283839400
-35	-10	1.46924512648809	1.334068909	0.4899639117	1.191173849
-40	-10	1.44073101731004	1.417749688	0.5071456291	1.093731487
-45	-10	1.41411124518262	1.492244872	0.5250404576	0.9922448721
-
--45	-5	2.06272567962583	-0.9557842360	0.5726353828	1.455784236
--40	-5	2.01877634631934	-0.7947398834	0.5650040379	1.543010908
--35	-5	1.97329971358941	-0.6289427550	0.5589422601	1.612297345
--30	-5	1.92698515479465	-0.4607388671	0.5544146180	1.664048531
--25	-5	1.88043745965309	-0.2922207008	0.5513635169	1.698922775
--20	-5	1.83418278603582	-0.1252181281	0.5497143632	1.717772689
--15	-5	1.78866539627262	0.03870358030	0.5493811200	1.721581676
--10	-5	1.74425381342574	0.1982315163	0.5502706663	1.711414115
--5	-5	1.70124539979143	0.3522866566	0.5522866566	1.688371241
-0	-5	1.65986700995263	0.5000000000	0.5553330579	1.653550715
-5	-5	1.62029570785376	0.6406847574	0.5593152426	1.608034135
-10	-5	1.58266336966512	0.7738121721	0.5641418296	1.552865993
-15	-5	1.54705582793873	0.8989853642	0.5697264360	1.489033651
-20	-5	1.51353174905797	1.015917767	0.5759872328	1.417472415
-25	-5	1.48212245325626	1.124412199	0.5828477556	1.339056281
-30	-5	1.45284272702964	1.224345215	0.5902364853	1.254602714
-35	-5	1.42568914426255	1.315649756	0.5980872053	1.164868574
-40	-5	1.40065228310441	1.398306728	0.6063381127	1.070560270
-45	-5	1.37771383553780	1.472331951	0.6149319771	0.9723319505
-
--45	0	2.01365355124536	-0.9238680810	0.7000000000	1.423868081
--40	0	1.96678823200239	-0.7642271064	0.7000000000	1.506647196
--35	0	1.91896295167307	-0.6006719313	0.7000000000	1.571922425
--30	0	1.87085559145438	-0.4354277957	0.7000000000	1.620208469
--25	0	1.82305400790789	-0.2704559159	0.7000000000	1.652248044
--20	0	1.77605897310752	-0.1074479445	0.7000000000	1.668949511
--15	0	1.73028683259702	0.05216881423	0.7000000000	1.671328738
--10	0	1.68607789858805	0.2072156455	0.7000000000	1.660462587
--5	0	1.64370116299117	0.3567420043	0.7000000000	1.637446384
-0	0	1.60335463695131	0.5000000000	0.7000000000	1.603354637
-5	0	1.56518661441885	0.6364150019	0.7000000000	1.559230607
-10	0	1.52929793544860	0.7655597996	0.7000000000	1.506064463
-15	0	1.49574582505962	0.8871275062	0.7000000000	1.444779522
-20	0	1.46456285498747	1.000909998	0.7000000000	1.376238908
-25	0	1.43575258002671	1.106775260	0.7000000000	1.301233744
-30	0	1.40930392679604	1.204651963	0.7000000000	1.220493002
-35	0	1.38518717161258	1.294510722	0.7000000000	1.134678903
-40	0	1.36336932253282	1.376356908	0.7000000000	1.044401493
-45	0	1.34380722400701	1.450215201	0.7000000000	0.9502152007
-
--45	5	1.96449388998661	-0.8864564082	0.8212992182	1.386456408
--40	5	1.91496308093263	-0.7281593653	0.8280539491	1.463663336
--35	5	1.86511194325288	-0.5670475453	0.8333241340	1.523901825
--30	5	1.81558607021504	-0.4051985169	0.8371690856	1.567849822
--25	5	1.76693818876473	-0.2444039167	0.8396650959	1.596379351
--20	5	1.71962349411051	-0.08616828720	0.8408991044	1.610484133
--15	5	1.67401062811530	0.06827302027	0.8409640989	1.611227023
--10	5	1.63039083190164	0.2179306329	0.8399551665	1.599694873
--5	5	1.58898413989917	0.3620339194	0.8379660806	1.576959517
-0	5	1.54994470533753	0.5000000000	0.8350865820	1.544046698
-5	5	1.51338008755264	0.6314016382	0.8314016382	1.501927598
-10	5	1.47935376781678	0.7559388662	0.8269899210	1.451501439
-15	5	1.44789329137649	0.8734113674	0.8219233437	1.393590195
-20	5	1.41900464577070	0.9836963007	0.8162675926	1.328944664
-25	5	1.39266869853426	1.086725693	0.8100815006	1.258237310
-30	5	1.36885532116975	1.182471532	0.8034181941	1.182075368
-35	5	1.34752129202771	1.270929215	0.7963251080	1.101001022
-40	5	1.32862040075612	1.352109163	0.7888451014	1.015504156
-45	5	1.31209919815963	1.426023924	0.7810165955	0.9260239244
-
--45	10	1.91509568472229	-0.8437725491	0.9369433563	1.343772549
--40	10	1.86323139424350	-0.6868836095	0.9494097191	1.414472806
--35	10	1.81175407044263	-0.5285062124	0.9589994897	1.468859097
--30	10	1.76125532300429	-0.3705363913	0.9658681595	1.507813260
--25	10	1.71222363849212	-0.2145503617	0.9701960940	1.532358196
--20	10	1.66504815165262	-0.06182005907	0.9721761985	1.543587926
--15	10	1.62002707331358	0.08665848751	0.9720040327	1.542611525
--10	10	1.57738134392332	0.2301291861	0.9698708139	1.530513441
--5	10	1.53726570454397	0.3680388325	0.9659580487	1.508323047
-0	10	1.49977724084211	0.5000000000	0.9604335848	1.476992255
-5	10	1.46497517325510	0.6257556411	0.9534512657	1.437393555
-10	10	1.43288396867535	0.7451490658	0.9451490658	1.390309440
-15	10	1.40350104364695	0.8580960181	0.9356491136	1.336432534
-20	10	1.37680859328752	0.9645623518	0.9250592744	1.276374572
-25	10	1.35277299085745	1.064543327	0.9134732695	1.210667072
-30	10	1.33135463866298	1.158049204	0.9009730235	1.139774655
-35	10	1.31251002929988	1.245092693	0.8876300064	1.064102644
-40	10	1.29619232192614	1.325678134	0.8735066100	0.9840048831
-45	10	1.28235446903063	1.399794589	0.8586580631	0.8997945886
-
--45	15	1.86530385210570	-0.7959134917	1.047238974	1.295913492
--40	15	1.81152110909239	-0.6406424090	1.064240671	1.359364689
--35	15	1.75889051674749	-0.4854008426	1.077084429	1.407298249
--30	15	1.70792387054311	-0.3318587938	1.086067010	1.440821696
--25	15	1.65901755249739	-0.1813287420	1.091504371	1.461114202
--20	15	1.61246671643937	-0.03480381275	1.093714200	1.469361399
--15	15	1.56847549367501	0.1069983775	1.093001623	1.466702023
--10	15	1.52717724430201	0.2435855388	1.089651360	1.454198672
--5	15	1.48865087069978	0.3746445661	1.083922738	1.432819166
-0	15	1.45292826156446	0.5000000000	1.076045505	1.403420932
-5	15	1.42001545642490	0.6195758234	1.066221680	1.366757916
-10	15	1.38989603982525	0.7333648209	1.054624772	1.323477666
-15	15	1.36253993209657	0.8414018302	1.041401830	1.274128976
-20	15	1.33791120470740	0.9437425009	1.026676287	1.219172501
-25	15	1.31597046178023	1.040445457	1.010550173	1.158989023
-30	15	1.29668044767698	1.131559200	0.9931076447	1.093892622
-35	15	1.28000767738192	1.217111515	0.9744178561	1.024141381
-40	15	1.26591948816763	1.297098884	0.9545371185	0.9499454588
-45	15	1.25439140618355	1.371484153	0.9335134749	0.8714841527
-
--45	20	1.81496936878255	-0.7428748320	1.152369444	1.242874832
--40	20	1.75977328368844	-0.5896007448	1.172628307	1.298535602
--35	20	1.70653813134958	-0.4380262072	1.187589179	1.339640258
--30	20	1.65566415894564	-0.2895381614	1.197736651	1.367520210
--25	20	1.60742472618687	-0.1451335575	1.203550409	1.383493379
--20	20	1.56199441980257	-0.005485725620	1.205485726	1.388810617
--15	20	1.51946738157197	0.1289933436	1.203958898	1.384615692
--10	20	1.47987500823345	0.2580930296	1.199338991	1.371922603
--5	20	1.44321127577325	0.3817490125	1.191947618	1.351614972
-0	20	1.40943934597060	0.5000000000	1.182056647	1.324439753
-5	20	1.37851139186996	0.6129497365	1.169893360	1.291021396
-10	20	1.35037185675800	0.7207378076	1.155642076	1.251866315
-15	20	1.32496750615535	0.8235158387	1.139449489	1.207377547
-20	20	1.30225009637566	0.9214284165	1.121428416	1.157865058
-25	20	1.28218337134852	1.014599226	1.101663574	1.103561601
-30	20	1.26474044400162	1.103117993	1.080214592	1.044631007
-35	20	1.24990854369663	1.187032390	1.057121748	0.9811839380
-40	20	1.23768479256839	1.266338644	1.032409222	0.9132868320
-45	20	1.22808012842260	1.340978316	1.006091075	0.8409783160
-
--45	25	1.76395881876356	-0.6845740810	1.252375966	1.184574081
--40	25	1.70794777771722	-0.5338663910	1.274544187	1.232113986
--35	25	1.65472949634549	-0.3866327123	1.290458687	1.266242741
--30	25	1.60455490658625	-0.2439082871	1.300831332	1.288486950
--25	25	1.55754575671829	-0.1063239364	1.306323936	1.300265878
--20	25	1.51373342959043	0.02579982416	1.307530926	1.302854275
--15	25	1.47308816181653	0.1523723015	1.304970877	1.297364233
--10	25	1.43553342182909	0.2734667863	1.299081161	1.284733696
--5	25	1.40097524817423	0.3892619201	1.290225209	1.265742046
-0	25	1.36930911775775	0.5000000000	1.278695039	1.241015516
-5	25	1.34043627133582	0.6059528633	1.264720383	1.211046769
-10	25	1.31426614208410	0.7073967267	1.248473532	1.176205286
-15	25	1.29072722379990	0.8045931302	1.230078512	1.136757038
-20	25	1.26976533832585	0.8977734355	1.209615297	1.092873532
-25	25	1.25135113239588	0.9871279968	1.187127997	1.044649360
-30	25	1.23547526485321	1.072794539	1.162628138	0.9921092439
-35	25	1.22215359741915	1.154851056	1.136102221	0.9352242310
-40	25	1.21142513490221	1.233307978	1.107516716	0.8739224178
-45	25	1.20334760790262	1.308099584	1.076823024	0.8080995835
-
--45	30	1.71217183691441	-0.6208795779	1.347140126	1.120879578
--40	30	1.65604158647574	-0.4735187575	1.369838593	1.160194477
--35	30	1.60353203384797	-0.3314512316	1.385566159	1.187435419
--30	30	1.55469981026455	-0.1952828921	1.395282892	1.204265295
--25	30	1.50949225687327	-0.06523478231	1.399835072	1.212149902
--20	30	1.46778282004941	0.05874547285	1.399943006	1.212336850
--15	30	1.42940946033069	0.1768896755	1.396205990	1.205864148
--10	30	1.39419029080705	0.2895416969	1.389107007	1.193568348
--5	30	1.36194718472806	0.3971037215	1.379027336	1.176109845
-0	30	1.33251353451540	0.5000000000	1.366256767	1.153990572
-5	30	1.30574585907919	0.5986502201	1.351006986	1.127577176
-10	30	1.28152464940486	0.6934509980	1.333419714	1.097115128
-15	30	1.25976365692210	0.7847628026	1.313578564	1.062749248
-20	30	1.24040626293568	0.8728990908	1.291513729	1.024531832
-25	30	1.22343272639859	0.9581187665	1.267211343	0.9824388652
-30	30	1.20885646832019	1.040617048	1.240617048	0.9363761940
-35	30	1.19672723466114	1.120517902	1.211642846	0.8861914047
-40	30	1.18712973564442	1.197864761	1.180172309	0.8316828355
-45	30	1.18017883454442	1.272608406	1.146065671	0.7726084061
-
--45	35	1.65955895274036	-0.5516413892	1.436367228	1.051641389
--40	35	1.60410333730386	-0.4086362822	1.458234125	1.082870554
--35	35	1.55304936777039	-0.2727085499	1.472708550	1.103542175
--30	35	1.50622446431347	-0.1439637617	1.480996051	1.115377953
--25	35	1.46337987787748	-0.02217922223	1.484104274	1.119816956
--20	35	1.42422941269359	0.09307158938	1.482850667	1.118026620
--15	35	1.38848142285291	0.2023267110	1.477882848	1.110931839
--10	35	1.35585772552886	0.3061732192	1.469700544	1.099246298
--5	35	1.32610560607456	0.4052057534	1.458677106	1.083503197
-0	35	1.29900622946042	0.5000000000	1.445079364	1.064083608
-5	35	1.27437961841399	0.5910967085	1.429084197	1.041240143
-10	35	1.25208375310324	0.6789917618	1.410789582	1.015112725
-15	35	1.23202096288370	0.7641300964	1.390227438	0.9857469397
-20	35	1.21413441728926	0.8469004251	1.367368564	0.9531010848
-25	35	1.19841447424852	0.9276313673	1.342131223	0.9170584266
-30	35	1.18489678702895	1.006584915	1.314383668	0.8774308110
-35	35	1.17366316422294	1.083947671	1.283947671	0.8339637028
-40	35	1.16484550298089	1.159820887	1.250603935	0.7863439127
-45	35	1.15862270552493	1.234204464	1.214095500	0.7342044641
-
--45	40	1.60613595064102	-0.4767240406	1.519568782	0.9767240406
--40	40	1.55224909056985	-0.3393262345	1.539326234	1.000270055
--35	40	1.50344166760255	-0.2106529549	1.551616985	1.014917601
--30	40	1.45929148125027	-0.09025676721	1.557857460	1.022354710
--25	40	1.41934692995199	0.02253954192	1.559168592	1.023917257
--20	40	1.38317069433740	0.1285171334	1.556419309	1.020640788
--15	40	1.35035536131392	0.2284854480	1.550264777	1.013306103
--10	40	1.32054194165125	0.3232339817	1.541188910	1.002489906
--5	40	1.29341915192603	0.4135088128	1.529532883	0.9885987931
-0	40	1.26872938023976	0.5000000000	1.515523526	0.9719030916
-5	40	1.24626647779270	0.5833380788	1.499291569	0.9525585994
-10	40	1.22587294247876	0.6640937498	1.480884493	0.9306219000
-15	40	1.20744377746833	0.7427794680	1.460279067	0.9060653098
-20	40	1.19092251273817	0.8198501174	1.437384792	0.8787809751
-25	40	1.17630502706357	0.8957025060	1.412048839	0.8485867626
-30	40	1.16364307006469	0.9706723815	1.384057916	0.8152284784
-35	40	1.15304543483450	1.045026231	1.353136798	0.7783781252
-40	40	1.14468516636719	1.118949817	1.318949817	0.7376356679
-45	40	1.13880419894404	1.192530068	1.281101724	0.6925300677
-
--45	45	1.55201824165163	-0.3960581496	1.596058150	0.8960581496
--40	45	1.50067315223829	-0.2657538999	1.612589961	0.9125899612
--35	45	1.45492580634786	-0.1455689215	1.621967968	0.9219679684
--30	45	1.41409528970014	-0.03447778096	1.625742672	0.9257426721
--25	45	1.37754272245139	0.06862853972	1.625079082	0.9250790819
--20	45	1.34469870983720	0.1648424938	1.620837680	0.9208376801
--15	45	1.31506738753137	0.2551912793	1.613638584	0.9136385839
--10	45	1.28823125441262	0.3406148374	1.603918175	0.9039181752
--5	45	1.26384111918121	0.4219631375	1.591965420	0.8919654205
-0	45	1.24161572373720	0.5000000000	1.577954898	0.8779548979
-5	45	1.22133375962674	0.5754122122	1.561965530	0.8619655302
-10	45	1.20282872658431	0.6488188177	1.543993455	0.8439934552
-15	45	1.18599009145860	0.7207801059	1.523962573	0.8239625725
-20	45	1.17076003730276	0.7918044106	1.501726029	0.8017260289
-25	45	1.15713535039525	0.8623518586	1.477066069	0.7770660685
-30	45	1.14517529538395	0.9328355770	1.449693211	0.7496932107
-35	45	1.13500581555259	1.003616389	1.419238741	0.7192387415
-40	45	1.12682847487296	1.074990829	1.385247386	0.6852473856
-45	45	1.12093446930670	1.147171818	1.347171818	0.6471718176
+-45	-45	2.45743130283233	-0.9187986242	-0.7187986242	1.418798624
+-40	-45	2.43507598404417	-0.7425550017	-0.7808193873	1.480819387
+-35	-45	2.40938603626384	-0.5690749577	-0.8267972699	1.526797270
+-30	-45	2.38116585220616	-0.3999960965	-0.8588389657	1.558838966
+-25	-45	2.35098741226187	-0.2362013944	-0.8787889852	1.578788985
+-20	-45	2.31923679265407	-0.07805485640	-0.8881926652	1.588192665
+-15	-45	2.28615437980806	0.07441684402	-0.8882979610	1.588297961
+-10	-45	2.25186889283920	0.2213897051	-0.8800775003	1.580077500
+-5	-45	2.21642293986490	0.3631452248	-0.8642572389	1.564257239
+0	-45	2.17979216869931	0.5000000000	-0.8413458241	1.541345824
+5	-45	2.14190045331083	0.6322533258	-0.8116624309	1.511662431
+10	-45	2.10263064686392	0.7601459377	-0.7753609267	1.475360927
+15	-45	2.06183220623889	0.8838240607	-0.7324508957	1.432450896
+20	-45	2.01933163029718	1.003305423	-0.6828202855	1.382820286
+25	-45	1.97494033371188	1.118443901	-0.6262572266	1.326257227
+30	-45	1.92846764466056	1.228892257	-0.5624784224	1.262478422
+35	-45	1.87973866934506	1.334063744	-0.4911664736	1.191166474
+40	-45	1.82861647934462	1.433094724	-0.4120189893	1.112018989
+45	-45	1.77503309871377	1.524815837	-0.3248158374	1.024815837
+
+-45	-40	2.40945772594907	-0.9652404019	-0.5294826808	1.465240402
+-40	-40	2.38552033746015	-0.7898894992	-0.5898894992	1.537230445
+-35	-40	2.35810608933711	-0.6146392284	-0.6357373556	1.591869792
+-30	-40	2.32800175644635	-0.4416342167	-0.6685365125	1.630958305
+-25	-40	2.29579666332421	-0.2722933015	-0.6897070167	1.656188330
+-20	-40	2.26191354086750	-0.1074898272	-0.7005114759	1.669064583
+-15	-40	2.22663960242496	0.05229188449	-0.7020259259	1.670869434
+-10	-40	2.19015539687444	0.2068286612	-0.6951351136	1.662657284
+-5	-40	2.15255833822644	0.3560580104	-0.6805408098	1.645264470
+0	-40	2.11388161778686	0.5000000000	-0.6587769123	1.619327267
+5	-40	2.07411002343196	0.6386961357	-0.6302280735	1.585304086
+10	-40	2.03319382369333	0.7721606678	-0.5951501525	1.543499847
+15	-40	1.99105850829120	0.9003400692	-0.5536899305	1.494089479
+20	-40	1.94761744453810	1.023078254	-0.5059084189	1.437145691
+25	-40	1.90278311451927	1.140085717	-0.4518054223	1.372668250
+30	-40	1.85647846298820	1.250911651	-0.3913473558	1.300617132
+35	-40	1.80865571383483	1.354922778	-0.3245039489	1.220956262
+40	-40	1.75931895701369	1.451292266	-0.2512922664	1.133705976
+45	-40	1.70854108453996	1.538998692	-0.1718234191	1.038998692
+
+-45	-35	2.36025710725089	-0.9956648928	-0.3472758325	1.495664893
+-40	-35	2.33420900877275	-0.8222009743	-0.4033434587	1.575737761
+-35	-35	2.30469155811425	-0.6466827190	-0.4466827190	1.637632639
+-30	-35	2.27246413518580	-0.4715580827	-0.4783008161	1.682787962
+-25	-35	2.23812305862247	-0.2986315622	-0.4992250832	1.712670912
+-20	-35	2.20211764557423	-0.1291853163	-0.5104294800	1.728672449
+-15	-35	2.16477502343097	0.03589893930	-0.5127935832	1.732048738
+-10	-35	2.12632370199372	0.1960311763	-0.5070827783	1.723892864
+-5	-35	2.08691419496819	0.3508207356	-0.4939426355	1.705126795
+0	-35	2.04663674480702	0.5000000000	-0.4739026106	1.676506673
+5	-35	2.00553632877127	0.6433621157	-0.4473856164	1.638636481
+10	-35	1.96362683142765	0.7807104759	-0.4147221512	1.591988218
+15	-35	1.92090397472946	0.9118181162	-0.3761672641	1.536926133
+20	-35	1.87735748167064	1.036395393	-0.3319198181	1.473734231
+25	-35	1.83298238260552	1.154064833	-0.2821436948	1.402646560
+30	-35	1.78778963286741	1.264342742	-0.2269910802	1.323880463
+35	-35	1.74181826196165	1.366629156	-0.1666291563	1.237674702
+40	-35	1.69515710161842	1.460213230	-0.1012737902	1.144337566
+45	-35	1.64795281262700	1.544286726	-0.03121743752	1.044286726
+
+-45	-30	2.31052205709053	-1.012591746	-0.1732952517	1.512591746
+-40	-30	2.28193099408715	-0.8414534056	-0.2229994342	1.598681915
+-35	-30	2.24999445553134	-0.6666500087	-0.2619515070	1.666148885
+-30	-30	2.21544712790264	-0.4907780757	-0.2907780757	1.716077966
+-25	-30	2.17888861997655	-0.3158926481	-0.3101825089	1.749687430
+-20	-30	2.14079057046581	-0.1435785444	-0.3208808603	1.768217519
+-15	-30	2.10151603604497	0.02496359700	-0.3235611933	1.772859991
+-10	-30	2.06133764705657	0.1888332775	-0.3188582048	1.764714176
+-5	-30	2.02045499137190	0.3473528916	-0.3073402147	1.744764432
+0	-30	1.97901072478424	0.5000000000	-0.2895053624	1.713873562
+5	-30	1.93710500190317	0.6463499451	-0.2657843292	1.672787527
+10	-30	1.89480715915200	0.7860283149	-0.2365471122	1.622147182
+15	-30	1.85216943113428	0.9186729433	-0.2021148164	1.562508696
+20	-30	1.80923978953951	1.043905568	-0.1627739202	1.494368265
+25	-30	1.76607083377880	1.161311549	-0.1187907584	1.418187194
+30	-30	1.72273006395206	1.270428306	-0.07042830598	1.334420970
+35	-30	1.67930435940916	1.370740121	-0.01796148441	1.243545769
+40	-30	1.63591746662646	1.461688615	0.03830124572	1.146095862
+45	-30	1.59273447484772	1.542689470	0.09800295357	1.042689470
+
+-45	-25	2.26067995180054	-1.018143648	-0.007922009337	1.518143648
+-40	-25	2.22922560495594	-0.8494097776	-0.04989916562	1.608163950
+-35	-25	2.19464341466494	-0.6759279372	-0.08311667986	1.679399140
+-30	-25	2.15764952004809	-0.5003355773	-0.1079395911	1.732632044
+-25	-25	2.11884662022014	-0.3248280462	-0.1248280462	1.768849453
+-20	-25	2.07872790388267	-0.1511933464	-0.1342892241	1.789139015
+-15	-25	2.03768924918871	0.01913453491	-0.1368424136	1.794614347
+-10	-25	1.99604258815095	0.1850160816	-0.1329945465	1.786362570
+-5	-25	1.95403027748902	0.3455464782	-0.1232250575	1.765411833
+0	-25	1.91183927272976	0.5000000000	-0.1079781902	1.732714820
+5	-25	1.86961434878170	0.6477809858	-0.08766096793	1.689144397
+10	-25	1.82746843925396	0.7883822084	-0.06264467142	1.635496776
+15	-25	1.78549358006648	0.9213509008	-0.03327017728	1.572502970
+20	-25	1.74377422755812	1.046263978	0.0001431093223	1.500847945
+25	-25	1.70239417572510	1.162710764	0.03728923631	1.421187819
+30	-25	1.66144522887210	1.270283939	0.07786588306	1.334170919
+35	-25	1.62102971296603	1.368575785	0.1215664384	1.240454776
+40	-25	1.58127045307987	1.457185224	0.1680693642	1.140728930
+45	-25	1.54231296956364	1.535729377	0.2170314597	1.035729377
+
+-45	-20	2.21096538247180	-1.014049369	0.1489310963	1.514049369
+-40	-20	2.17644055434386	-0.8475890736	0.1154659440	1.605994120
+-35	-20	2.13908426979513	-0.6757821684	0.08882447285	1.679190960
+-30	-20	2.09960027786302	-0.5012384058	0.06880435228	1.734195789
+-25	-20	2.05859695315922	-0.3262097467	0.05511298219	1.771812520
+-20	-20	2.01658705392471	-0.1525989833	0.04740101674	1.793000970
+-15	-20	1.97399441487393	0.01801198461	0.04528897331	1.798803762
+-10	-20	1.93116336674228	0.1843234214	0.04838742309	1.790290841
+-5	-20	1.88837016687645	0.3452744649	0.05631101220	1.768520959
+0	-20	1.84583503139624	0.5000000000	0.06868723801	1.734517558
+5	-20	1.80373345938053	0.6477907402	0.08516113784	1.689255890
+10	-20	1.76220604371439	0.7880580609	0.1053969535	1.633658444
+15	-20	1.72136736184921	0.9203043495	0.1290773144	1.568597187
+20	-20	1.68131741995008	1.044100507	0.1558994928	1.494903857
+25	-20	1.64214776853725	1.159069513	0.1855720661	1.413379132
+30	-20	1.60394875637219	1.264876588	0.2178103733	1.324805111
+35	-20	1.56681072603617	1.361222785	0.2523334985	1.229953604
+40	-20	1.53083362639537	1.447847927	0.2888587966	1.129601173
+45	-20	1.49612489721511	1.524532982	0.3271004904	1.024532982
+
+-45	-15	2.16147558244156	-1.001677792	0.2976266485	1.501677792
+-40	-15	2.12377949805661	-0.8372590310	0.2729738590	1.593683254
+-35	-15	2.08361821773966	-0.6673262934	0.2532979573	1.667114719
+-30	-15	2.04168916356350	-0.4944220081	0.2384871399	1.722389442
+-25	-15	1.99860725892971	-0.3207921414	0.2283573246	1.760194428
+-20	-15	1.95490006200531	-0.1483780385	0.2226742315	1.781404020
+-15	-15	1.91101132912327	0.02117163700	0.2211716370	1.787011779
+-10	-15	1.86730765628270	0.1864773304	0.2235661282	1.778075416
+-5	-15	1.82408724598902	0.3463983378	0.2295682929	1.755675032
+0	-15	1.78158979963418	0.5000000000	0.2388906293	1.720883599
+5	-15	1.74000632036487	0.6465214252	0.2512527455	1.674747554
+10	-15	1.69948759246874	0.7853455268	0.2663845478	1.618274898
+15	-15	1.66015323821721	0.9159726556	0.2840273444	1.552431085
+20	-15	1.62210164168102	1.037999410	0.3039332507	1.478141232
+25	-15	1.58541421782329	1.151101173	0.3258649617	1.396290972
+30	-15	1.55016217584154	1.255019624	0.3495941732	1.307732349
+35	-15	1.51640870548236	1.349552830	0.3749006797	1.213287181
+40	-15	1.48421753270691	1.434552434	0.4015699200	1.113756221
+45	-15	1.45364950842872	1.509918040	0.4293932768	1.009918040
+
+-45	-10	2.11221013305239	-0.9820826016	0.4386688497	1.482082602
+-40	-10	2.07133863561698	-0.8194485044	0.4227333176	1.572457495
+-35	-10	2.02843634051741	-0.6515135590	0.4100246741	1.644531794
+-30	-10	1.98419694443516	-0.4807298381	0.4004779586	1.698673908
+-25	-10	1.93923758978524	-0.3092885123	0.3939801494	1.735524815
+-20	-10	1.89409222329463	-0.1391040426	0.3903832358	1.755923926
+-15	-10	1.84921286487283	0.02818292048	0.3895154625	1.760845313
+-10	-10	1.80497462156061	0.1911907371	0.3911907371	1.751344359
+-5	-10	1.76168274538885	0.3487745409	0.3952161854	1.728514907
+0	-10	1.71958091281282	0.5000000000	0.4013979081	1.693456615
+5	-10	1.67885962780045	0.6441157998	0.4095451818	1.647251130
+10	-10	1.63966442536100	0.7805266936	0.4194733064	1.590945938
+15	-10	1.60210494061854	0.9087687732	0.4310051098	1.525545830
+20	-10	1.56626282530312	1.028487943	0.4439716917	1.452008690
+25	-10	1.53219820865890	1.139421603	0.4582126763	1.371244053
+30	-10	1.49995418230278	1.241382969	0.4735762370	1.284112971
+35	-10	1.46956130609364	1.334248399	0.4899187122	1.191430188
+40	-10	1.44104412315347	1.417949137	0.5071037172	1.093969182
+45	-10	1.41441950331038	1.492461169	0.5250023186	0.9924611687
+
+-45	-5	2.06310175123799	-0.9560496514	0.5726121620	1.456049651
+-40	-5	2.01914173961656	-0.7949742280	0.5649796040	1.543290189
+-35	-5	1.97365297044284	-0.6291448565	0.5589170081	1.612585976
+-30	-5	1.92732361914049	-0.4609076156	0.5543890467	1.664340812
+-25	-5	1.88076373840629	-0.2923581607	0.5513377267	1.699217559
+-20	-5	1.83450085459679	-0.1253265482	0.5496883019	1.718070571
+-15	-5	1.78897994233019	0.03862245894	0.5493546329	1.721884425
+-10	-5	1.74456754419778	0.1981772386	0.5502437352	1.711721939
+-5	-5	1.70155851349282	0.3522594700	0.5522594700	1.688681985
+0	-5	1.66018362863823	0.5000000000	0.5553054627	1.653866129
+5	-5	1.62061766940995	0.6407127122	0.5592872878	1.608353660
+10	-5	1.58298794637377	0.7738683262	0.5641139675	1.553184459
+15	-5	1.54738256818524	0.8990696304	0.5696989220	1.489348136
+20	-5	1.51385865222731	1.016029198	0.5759604477	1.417778570
+25	-5	1.48244957180886	1.124550012	0.5828218990	1.339351824
+30	-5	1.45316753305906	1.224507154	0.5902119459	1.254883200
+35	-5	1.42601160169580	1.315834237	0.5980641550	1.165132039
+40	-5	1.40097111108230	1.398511208	0.6063167927	1.070803960
+45	-5	1.37802830107508	1.472553887	0.6149125602	0.9725538870
+
+-45	0	2.01404286578862	-0.9241433680	0.7000000000	1.424143368
+-40	0	1.96716547775931	-0.7644695953	0.7000000000	1.506936183
+-35	0	1.91932978467560	-0.6008823381	0.7000000000	1.572222917
+-30	0	1.87121038681157	-0.4356051934	0.7000000000	1.620515731
+-25	0	1.82339683944298	-0.2706008027	0.7000000000	1.652558754
+-20	0	1.77639259828903	-0.1075620511	0.7000000000	1.669263016
+-15	0	1.73061624369060	0.05208355637	0.7000000000	1.671646925
+-10	0	1.68640617664224	0.2071586406	0.7000000000	1.660785877
+-5	0	1.64402814176454	0.3567135062	0.7000000000	1.637772118
+0	0	1.60368353465141	0.5000000000	0.7000000000	1.603683535
+5	0	1.56551810177187	0.6364438929	0.7000000000	1.559560833
+10	0	1.52963021370010	0.7656174991	0.7000000000	1.506391694
+15	0	1.49607924652583	0.8872138020	0.7000000000	1.445101582
+20	0	1.46489544730856	1.001023751	0.7000000000	1.376551442
+25	0	1.43608482177506	1.106915671	0.7000000000	1.301534857
+30	0	1.40963292438409	1.204816462	0.7000000000	1.220777923
+35	0	1.38551426130560	1.294698333	0.7000000000	1.134946840
+40	0	1.36369234635333	1.376564544	0.7000000000	1.044648944
+45	0	1.34412646786331	1.450440940	0.7000000000	0.9504409402
+
+-45	5	1.96489589941447	-0.8867401294	0.8213240406	1.386740129
+-40	5	1.91535313336372	-0.7284095250	0.8280800320	1.463961465
+-35	5	1.86549165626264	-0.5672647826	0.8333512771	1.524212072
+-30	5	1.81595632456422	-0.4053831150	0.8371970586	1.568169556
+-25	5	1.76729847066325	-0.2445557020	0.8396935739	1.596704856
+-20	5	1.71997590735510	-0.08628841435	0.8409279798	1.610814180
+-15	5	1.67435855501339	0.06818328999	0.8409933969	1.611561901
+-10	5	1.63073586645634	0.2178709394	0.8399847848	1.600033412
+-5	5	1.58932622817277	0.3620042171	0.8379957829	1.577299016
+0	5	1.55028702921134	0.5000000000	0.8351164175	1.544387719
+5	5	1.51372330901013	0.6314314390	0.8314314390	1.502268222
+10	5	1.47969679921801	0.7559982131	0.8270193673	1.451838012
+15	5	1.44823636546761	0.8734998461	0.8219522331	1.393920402
+20	5	1.41934601752523	0.9838126642	0.8162955632	1.329264370
+25	5	1.39300851837637	1.086868858	0.8101083612	1.258544328
+30	5	1.36919173908959	1.182639260	0.8034436108	1.182365882
+35	5	1.34785510451434	1.271120193	0.7963489700	1.101273766
+40	5	1.32894948144604	1.352320219	0.7888671071	1.015755683
+45	5	1.31242457633800	1.426253562	0.7810366863	0.9262535625
+
+-45	10	1.91550868435325	-0.8440623402	0.9369944543	1.344062340
+-40	10	1.86363268129997	-0.6871392305	0.9494634349	1.414777443
+-35	10	1.81214379109014	-0.5287274511	0.9590552022	1.469175059
+-30	10	1.76163546755213	-0.3707242855	0.9659255438	1.508138702
+-25	10	1.71259603502053	-0.2147057713	0.9702548597	1.532691473
+-20	10	1.66541393317572	-0.06194348096	0.9722359907	1.543927025
+-15	10	1.62038766484756	0.08656648445	0.9720645763	1.542954886
+-10	10	1.57773744418335	0.2300682617	0.9699317383	1.530858960
+-5	10	1.53761765088628	0.3680086209	0.9660189380	1.508668367
+0	10	1.50012867878242	0.5000000000	0.9604946113	1.477338353
+5	10	1.46532712994628	0.6257858536	0.9535121567	1.437738886
+10	10	1.43323514973222	0.7452091486	0.9452091486	1.390650187
+15	10	1.40385129993349	0.8581853842	0.9357079219	1.336766052
+20	10	1.37715655443356	0.9646797608	0.9251161537	1.276697150
+25	10	1.35311830153734	1.064687433	0.9135277610	1.210976109
+30	10	1.33169718902595	1.158218516	0.9010247328	1.140067912
+35	10	1.31284888697883	1.245285057	0.8876784478	1.064377369
+40	10	1.29652713185266	1.325891409	0.8735514273	0.9842590542
+45	10	1.28268567145627	1.400026985	0.8586990408	0.9000269847
+
+-45	15	1.86572811875288	-0.7962082495	1.047317954	1.296208250
+-40	15	1.81193519245165	-0.6409031408	1.064323930	1.359675417
+-35	15	1.75929294712628	-0.4856263002	1.077170706	1.407620236
+-30	15	1.70831646480146	-0.3320500102	1.086155754	1.441152892
+-25	15	1.65940284637402	-0.1814869753	1.091595294	1.461453535
+-20	15	1.61284524377914	-0.03492935820	1.093806625	1.469706333
+-15	15	1.56884871901449	0.1069048611	1.093095139	1.467051031
+-10	15	1.52754646104324	0.2435235470	1.089745564	1.454550245
+-5	15	1.48901572263362	0.3746138429	1.084016834	1.433170334
+0	15	1.45329169712857	0.5000000000	1.076139569	1.403771983
+5	15	1.42037833561286	0.6196063805	1.066315266	1.367107185
+10	15	1.39025727748749	0.7334254731	1.054716940	1.323821642
+15	15	1.36289903791433	0.8414918087	1.041491809	1.274464780
+20	15	1.33826753811892	0.9438606853	1.026763293	1.219497210
+25	15	1.31632359948357	1.040590484	1.010633508	1.159300035
+30	15	1.29703026503579	1.131729581	0.9931867191	1.094187732
+35	15	1.28035244284663	1.217304667	0.9744917695	1.024417230
+40	15	1.26626069023167	1.297313725	0.9546057237	0.9502014967
+45	15	1.25472817652456	1.371718123	0.9335761670	0.8717181228
+
+-45	20	1.81540307014213	-0.7431718268	1.152477541	1.243171827
+-40	20	1.76019732598897	-0.5898632996	1.172742194	1.298848503
+-35	20	1.70695175810439	-0.4382535639	1.187707359	1.339964957
+-30	20	1.65606762804324	-0.2897305641	1.197857945	1.367853461
+-25	20	1.60782085529884	-0.1452925423	1.203674503	1.383834323
+-20	20	1.56238468885261	-0.005612022764	1.205612023	1.389157616
+-15	20	1.51985194389201	0.1288994454	1.204086445	1.384966124
+-10	20	1.48025545081053	0.2580308408	1.199467360	1.372275294
+-5	20	1.44358704897930	0.3817182232	1.192075708	1.351966896
+0	20	1.40981257063849	0.5000000000	1.182184297	1.324790469
+5	20	1.37888245193063	0.6129801397	1.170019843	1.291368906
+10	20	1.35074025596373	0.7207980277	1.155766381	1.252207841
+15	20	1.32533282605726	0.8236050385	1.139570654	1.207710445
+20	20	1.30261308115612	0.9215458840	1.121545884	1.158187798
+25	20	1.28254299335355	1.014743559	1.101776232	1.103871124
+30	20	1.26509668266133	1.103287873	1.080321687	1.044925248
+35	20	1.25026055485639	1.187225878	1.057222324	0.9814602684
+40	20	1.23803322813607	1.266554385	1.032502803	0.9135439424
+45	20	1.22842366148330	1.341213564	1.006176698	0.8412135643
+
+-45	25	1.76440230157447	-0.6848718988	1.252514840	1.184871899
+-40	25	1.70838133328640	-0.5341288338	1.274690033	1.232426753
+-35	25	1.65515437101747	-0.3868603675	1.290610296	1.266567866
+-30	25	1.60497027613902	-0.2441008620	1.300986869	1.288820499
+-25	25	1.55795340916078	-0.1064826280	1.306482628	1.300606193
+-20	25	1.51413549508868	0.02567387099	1.307692293	1.303200329
+-15	25	1.47348400751047	0.1522788875	1.305133444	1.297712859
+-10	25	1.43592492264700	0.2734050058	1.299244544	1.285084071
+-5	25	1.40136201669632	0.3892313485	1.290388153	1.266091480
+0	25	1.36969260330661	0.5000000000	1.278857107	1.241363072
+5	25	1.34081669451651	0.6059829333	1.264880654	1.211390471
+10	25	1.31464376354957	0.7074563170	1.248631122	1.176543239
+15	25	1.29110134360282	0.8046814171	1.230232156	1.137086529
+20	25	1.27013606549396	0.8978895715	1.209764087	1.093192613
+25	25	1.25171711389680	0.9872704667	1.187270467	1.044954888
+30	25	1.23583719406899	1.072962338	1.162763664	0.9923998797
+35	25	1.22251202594172	1.155043109	1.136230119	0.9354985100
+40	25	1.21177912257953	1.233522257	1.107635796	0.8741777846
+45	25	1.20369703665195	1.308334240	1.076932446	0.8083342399
+
+-45	30	1.71262455795604	-0.6211759534	1.347311239	1.121175953
+-40	30	1.65648355971438	-0.4737785754	1.370017364	1.160504116
+-35	30	1.60396454172116	-0.3316754923	1.385751071	1.187755697
+-30	30	1.55512423141796	-0.1954726990	1.395472699	1.204594050
+-25	30	1.50990876720609	-0.06539074609	1.400028176	1.212484368
+-20	30	1.46819331497121	0.05862206717	1.400138760	1.212675904
+-15	30	1.42981388499625	0.1767982574	1.396402969	1.206205324
+-10	30	1.39459041796758	0.2894812962	1.389304778	1.193910898
+-5	30	1.36234285042045	0.3970738286	1.379224603	1.176451522
+0	30	1.33290567589908	0.5000000000	1.366452838	1.154330176
+5	30	1.30613430249947	0.5986795673	1.351200652	1.127912616
+10	30	1.28190976534061	0.6935091327	1.333610066	1.097444826
+15	30	1.26014477022508	0.7848489512	1.313764189	1.063070759
+20	30	1.24078381496573	0.8730125929	1.291693772	1.024843676
+25	30	1.22380659706078	0.9582587637	1.267384678	0.9827390902
+30	30	1.20922658057848	1.040782567	1.240782567	0.9366628817
+35	30	1.19709303421341	1.120707573	1.211799238	0.8864622838
+40	30	1.18748994277664	1.198076512	1.180318006	0.8319351905
+45	30	1.18053393539318	1.272840874	1.146199887	0.7728408742
+
+-45	35	1.66001842116691	-0.5519325485	1.436571100	1.051932548
+-40	35	1.60455445886761	-0.4088918177	1.458447363	1.083175089
+-35	35	1.55349152420385	-0.2729285416	1.472928542	1.103856356
+-30	35	1.50665892925228	-0.1441495106	1.481221326	1.115699680
+-25	35	1.46380755511882	-0.02233183070	1.484333431	1.120144226
+-20	35	1.42465112926803	0.09295109724	1.483082470	1.118357669
+-15	35	1.38889750014786	0.2022375092	1.478115951	1.111264744
+-10	35	1.35626872860938	0.3061144643	1.469933865	1.099579514
+-5	35	1.32651168775308	0.4051767254	1.458909429	1.083834989
+0	35	1.29940774389792	0.5000000000	1.445309663	1.064412510
+5	35	1.27477613277709	0.5911250526	1.429311047	1.041564117
+10	35	1.25247580857042	0.6790478082	1.411012146	1.015430579
+15	35	1.23240863658475	0.7642132089	1.390444628	0.9860571196
+20	35	1.21451866977323	0.8470102131	1.367579775	0.9534027247
+25	35	1.19879517504282	0.9277672131	1.342335209	0.9173497489
+30	35	1.18527315821297	1.006745827	1.314578821	0.8777095186
+35	35	1.17403556336079	1.084132956	1.284132956	0.8342283165
+40	35	1.16521330066399	1.160029224	1.250777787	0.7865921993
+45	35	1.15898498939648	1.234434039	1.214256250	0.7344340388
+
+-45	40	1.60660146740329	-0.4770071309	1.519806323	0.9770071309
+-40	40	1.55270561233709	-0.3395730832	1.539573083	1.000564238
+-35	40	1.50389072495364	-0.2108652172	1.551871351	1.015220743
+-30	40	1.45973315785901	-0.09043541734	1.558117104	1.022664141
+-25	40	1.41978243111669	0.02239304174	1.559432213	1.024231427
+-20	40	1.38359958473519	0.1284019448	1.556684865	1.020957266
+-15	40	1.35077843338285	0.2284003814	1.550531169	1.013623576
+-10	40	1.32095917987149	0.3231781307	1.541454692	1.002806653
+-5	40	1.29383182817067	0.4134812171	1.529797552	0.9889142138
+0	40	1.26913800205905	0.5000000000	1.515786183	0.9722161140
+5	40	1.24667101152216	0.5833651300	1.499551017	0.9528677966
+10	40	1.22627389621619	0.6641474210	1.481139902	0.9309262842
+15	40	1.20784052786293	0.7428592422	1.460528885	0.9063630311
+20	40	1.19131470838239	0.8199554507	1.437627628	0.8790703760
+25	40	1.17669265814930	0.8958329030	1.412283483	0.8488663997
+30	40	1.16402571510568	0.9708271544	1.384282857	0.8154965530
+35	40	1.15342352135362	1.045204946	1.353350963	0.7786333574
+40	40	1.14505925908537	1.119152095	1.319152095	0.7378767334
+45	40	1.13917366288394	1.192754746	1.281290252	0.6927547463
+
+-45	45	1.55249003601765	-0.3963305402	1.596330540	0.8963305402
+-40	45	1.50113601970573	-0.2659900889	1.612871440	0.9128714404
+-35	45	1.45538136529343	-0.1457710587	1.622256650	0.9222566503
+-30	45	1.41454403034542	-0.03464738898	1.626036442	0.9260364418
+-25	45	1.37798515627383	0.06848999351	1.625376195	0.9253761952
+-20	45	1.34513456663275	0.1647338593	1.621136151	0.9211361510
+-15	45	1.31549777909677	0.2551111590	1.613937597	0.9139375970
+-10	45	1.28865574680553	0.3405623175	1.604216030	0.9042160304
+-5	45	1.26426108466191	0.4219372064	1.592261814	0.8922618143
+0	45	1.24203125687582	0.5000000000	1.578248724	0.8782487242
+5	45	1.22174474500807	0.5754375889	1.562255586	0.8622555863
+10	45	1.20323584308969	0.6488691878	1.544279118	0.8442791182
+15	45	1.18639305000229	0.7208551194	1.524242527	0.8242425266
+20	45	1.17115868078138	0.7919037699	1.501999016	0.8019990164
+25	45	1.15753021983906	0.8624755103	1.477331240	0.7773312403
+30	45	1.14556607423745	0.9329832775	1.449949036	0.7499490355
+35	45	1.13539137335821	1.003787465	1.419483065	0.7194830646
+40	45	1.12720907350837	1.075185038	1.385478835	0.6854788354
+45	45	1.12131015450006	1.147388720	1.347388720	0.6473887195
 
 
 ### +x patch
-# N_rho = 10
+# N_rho = 19
 # N_sigma = 19
 # ghosted_gfn=-3
 # dpx = drho = dnu
 # dpy = dsigma = dphi
 #
 # dpx	dpy	gridfn	global_x	global_y	global_z
-45	-45	1.77471849651766	1.524634202	-0.3246342017	1.024634202
-45	-40	1.70823383447431	1.538811847	-0.1716666375	1.038811847
-45	-35	1.64764921209802	1.544094338	-0.03108272613	1.044094338
-45	-30	1.59243411085484	1.542492836	0.09811648049	1.042492836
-45	-25	1.54201235975121	1.535527505	0.2171255943	1.035527505
-45	-20	1.49582323044640	1.524326404	0.3271756789	1.024326404
-45	-15	1.45334467282832	1.509706256	0.4294500240	1.009706256
-45	-10	1.41411127934161	1.492244896	0.5250404534	0.9922448960
-45	-5	1.37771384980895	1.472331961	0.6149319763	0.9723319606
-45	0	1.34380723276650	1.450215207	0.7000000000	0.9502152069
-45	5	1.31209920420265	1.426023929	0.7810165959	0.9260239286
-45	10	1.28235448213493	1.399794598	0.8586580647	0.8997945978
-45	15	1.25439142126872	1.371484163	0.9335134777	0.8714841632
-45	20	1.22808013995761	1.340978324	1.006091078	0.8409783239
-45	25	1.20334761798026	1.308099590	1.076823028	0.8080995903
-45	30	1.18017884838134	1.272608415	1.146065676	0.7726084152
-45	35	1.15862272552824	1.234204477	1.214095509	0.7342044768
-45	40	1.13880424829913	1.192530098	1.281101750	0.6925300977
-45	45	1.12093448900214	1.147171829	1.347171829	0.6471718290
-
-50	-45	1.78856632314225	1.587663672	-0.3876636722	0.9126581862
-50	-40	1.71873515748863	1.607553756	-0.2293479484	0.9293479484
-50	-35	1.65436212993876	1.616798397	-0.08199065615	0.9371051229
-50	-30	1.59516683512325	1.617546665	0.05478413233	0.9377329941
-50	-25	1.54076788689048	1.611510368	0.1816942035	0.9326679395
-50	-20	1.49074773946815	1.600021822	0.2996247998	0.9230279050
-50	-15	1.44468286664123	1.584089424	0.4095191144	0.9096590357
-50	-10	1.40217930458081	1.564464940	0.5123061110	0.8931921389
-50	-5	1.36287431192219	1.541685441	0.6088643329	0.8740778695
-50	0	1.32645593388068	1.516124197	0.7000000000	0.8526294391
-50	5	1.29265509085405	1.488014798	0.7864400943	0.8290428530
-50	10	1.26125511218551	1.457482287	0.8688299608	0.8034230342
-50	15	1.23208919653712	1.424559222	0.9477348969	0.7757973022
-50	20	1.20504164857643	1.389199477	1.023642142	0.7461269528
-50	25	1.18005381629731	1.351291140	1.096963578	0.7143180817
-50	30	1.15712172806681	1.310659737	1.168034618	0.6802242867
-50	35	1.13630089645192	1.267074510	1.237111354	0.6436519381
-50	40	1.11771538939600	1.220256331	1.304366821	0.6043668215
-50	45	1.10155899212509	1.169880498	1.369880498	0.5620964784
-
-55	-45	1.80054300057247	1.640981186	-0.4409811862	0.7989236275
-55	-40	1.72807122011780	1.666556665	-0.2788572670	0.8168317703
-55	-35	1.66055613487159	1.679932697	-0.1261977691	0.8261977691
-55	-30	1.59794512240507	1.683298242	0.01682244159	0.8285543488
-55	-25	1.54005203378355	1.678488516	0.1504617801	0.8251865424
-55	-20	1.48661050751703	1.666996065	0.2752481688	0.8171394418
-55	-15	1.43731376679910	1.650002873	0.3918576589	0.8052406807
-55	-10	1.39185381737579	1.628429722	0.5010273942	0.7901349975
-55	-5	1.34992900872019	1.602968263	0.6035027808	0.7723066920
-55	0	1.31127201641867	1.574131153	0.7000000000	0.7521147303
-55	5	1.27564364433742	1.542272923	0.7911870651	0.7298073579
-55	10	1.24284830490219	1.507625190	0.8776715074	0.7055467536
-55	15	1.21273282799410	1.470314394	0.9599949582	0.6794214530
-55	20	1.18518911452664	1.430378889	1.038630222	0.6514583117
-55	25	1.16016108643287	1.387785923	1.113981375	0.6216343958
-55	30	1.13764040839350	1.342436875	1.186381156	0.5898806502
-55	35	1.11767048804632	1.294177279	1.256088918	0.5560889177
-55	40	1.10035313480585	1.242807512	1.323289509	0.5201194190
-55	45	1.08584439483827	1.188085775	1.388085775	0.4818028464
-
-60	-45	1.81069410839406	1.685377545	-0.4853775446	0.6843780445
-60	-40	1.73617472857219	1.716334389	-0.3206257369	0.7022509867
-60	-35	1.66610194964451	1.733769220	-0.1638945084	0.7123169914
-60	-30	1.60061902302296	1.739834164	-0.01581858831	0.7158185883
-60	-25	1.53972009254744	1.736423408	0.1234462964	0.7138493872
-60	-20	1.48328780232314	1.725143418	0.2540842631	0.7073368823
-60	-15	1.43113969178863	1.707323788	0.3764985659	0.6970487141
-60	-10	1.38306225494432	1.684041621	0.4912215160	0.6836067484
-60	-5	1.33882480852894	1.656142511	0.5988506369	0.6674991899
-60	0	1.29821075251258	1.624283491	0.7000000000	0.6491053763
-60	5	1.26101481393135	1.588949670	0.7952707513	0.6287053851
-60	10	1.22706346057982	1.550490824	0.8852298753	0.6065011603
-60	15	1.19621311036524	1.509137370	0.9703975432	0.5826257319
-60	20	1.16835651580503	1.465021281	1.051239022	0.5571552965
-60	25	1.14343058995882	1.418195686	1.128161680	0.5301205264
-60	30	1.12141092507207	1.368641167	1.201510212	0.5015102118
-60	35	1.10231713403773	1.316279551	1.271565095	0.4712792183
-60	40	1.08621515668614	1.260983804	1.338541229	0.4393542038
-60	45	1.07321180845823	1.202582050	1.402582050	0.4056359356
-
-65	-45	1.81909779962790	1.721602274	-0.5216022740	0.5696424956
-65	-40	1.74301833169860	1.757413893	-0.3550955337	0.5863417277
-65	-35	1.67090686963887	1.778622094	-0.1953008290	0.5962312745
-65	-30	1.60306722108880	1.787292311	-0.04321856219	0.6002742628
-65	-25	1.53964821338767	1.785324702	0.1006432483	0.5993567517
-65	-20	1.48067166156237	1.774398363	0.2361569293	0.5942617162
-65	-15	1.42607649655697	1.755960565	0.3634663808	0.5856640299
-65	-10	1.37574415766011	1.731225167	0.4829017837	0.5741297242
-65	-5	1.32951799277469	1.701182409	0.5949101564	0.5601205563
-65	0	1.28723449501668	1.666630647	0.7000000000	0.5440088047
-65	5	1.24872351949249	1.628186857	0.7987035603	0.5260821713
-65	10	1.21383216396807	1.586321683	0.8915478224	0.5065601200
-65	15	1.18242410986678	1.541373346	0.9790351472	0.4856003664
-65	20	1.15438812107051	1.493569587	1.061629755	0.4633091075
-65	25	1.12964684999553	1.443048541	1.139750757	0.4397507565
-65	30	1.10815188018745	1.389866236	1.213764511	0.4149514407
-65	35	1.08989142284035	1.334013720	1.283982694	0.3889069845
-65	40	1.07488879520950	1.275425066	1.350658887	0.3615866464
-65	45	1.06319898708484	1.213983767	1.413983767	0.3329360986
-
-70	-45	1.82583300254455	1.750314151	-0.5503141515	0.4550771346
-70	-40	1.74859313046062	1.790285774	-0.3826783171	0.4696256155
-70	-35	1.67490341741035	1.814806863	-0.2206376765	0.4785505618
-70	-30	1.60519121431975	1.825831338	-0.06546907971	0.4825631426
-70	-25	1.53973038024883	1.825229575	0.08203530057	0.4823441187
-70	-20	1.47866470488708	1.814719960	0.2214810682	0.4785189318
-70	-15	1.42204401338296	1.795838581	0.3527810987	0.4716466718
-70	-10	1.36983857577116	1.769912996	0.4760800757	0.4622105305
-70	-5	1.32196277611586	1.738061752	0.5916836320	0.4506176258
-70	0	1.27830421287024	1.701213036	0.7000000000	0.4372057901
-70	5	1.23872630190082	1.660108048	0.8014963026	0.4222447979
-70	10	1.20309419343409	1.615332112	0.8966631437	0.4059476899
-70	15	1.17127544629825	1.567325552	0.9859890198	0.3884747313
-70	20	1.14315155297275	1.516406329	1.069941650	0.3699416495
-70	25	1.11862681070073	1.462790208	1.148956447	0.3504269774
-70	30	1.09762579891784	1.406600203	1.223425871	0.3299754884
-70	35	1.08010297532202	1.347885788	1.293696020	0.3086051890
-70	40	1.06604002498823	1.286630266	1.360061166	0.2863100021
-70	45	1.05544411286302	1.222758713	1.422758713	0.2630626580
-
-75	-45	1.83098127164421	1.772067996	-0.5720679959	0.3408495922
-75	-40	1.75290985515213	1.815382828	-0.4037372460	0.3524557666
-75	-35	1.67805003527208	1.842617323	-0.2401107704	0.3597532274
-75	-30	1.60691771879354	1.855611894	-0.08266289172	0.3632351122
-75	-25	1.53988355429373	1.856191638	0.06759745347	0.3633904541
-75	-20	1.47719032643236	1.846090696	0.2100630539	0.3606839150
-75	-15	1.41898068466572	1.826907465	0.3444562164	0.3555437836
-75	-10	1.36530056851971	1.800057528	0.4707647813	0.3483493648
-75	-5	1.31612714587928	1.766765926	0.5891723421	0.3394289069
-75	0	1.27139284148962	1.728071181	0.7000000000	0.3290606812
-75	5	1.23099016523487	1.684822000	0.8036584933	0.3174720980
-75	10	1.19479903089671	1.637703675	0.9006078540	0.3048467811
-75	15	1.16268839506689	1.587245180	0.9913264680	0.2913264680
-75	20	1.13453184835374	1.533842924	1.076288051	0.2770173765
-75	25	1.11021511171434	1.477778122	1.155945426	0.2619948583
-75	30	1.08963682849172	1.419228550	1.230716851	0.2463065476
-75	35	1.07272018836159	1.358289489	1.300980770	0.2299779755
-75	40	1.05941031388159	1.294981060	1.367068314	0.2130145330
-75	45	1.04967382429979	1.229257311	1.429257311	0.1954039075
-
-80	-45	1.83460589592043	1.787294970	-0.5872949697	0.2269848353
-80	-40	1.75597799799792	1.833051350	-0.4185628961	0.2350529197
-80	-35	1.68031382361078	1.862295405	-0.2538895121	0.2402094357
-80	-30	1.60818775342895	1.876771889	-0.09487962090	0.2427620304
-80	-25	1.54003866910993	1.878260890	0.05730639197	0.2430245814
-80	-20	1.47618187913202	1.868498877	0.2019071432	0.2413032750
-80	-15	1.41683007796373	1.849124619	0.3385031479	0.2378870707
-80	-10	1.36208713862317	1.821616159	0.4669634130	0.2330365870
-80	-5	1.31197861129623	1.787277515	0.5873778106	0.2269817576
-80	0	1.26647252939597	1.747231966	0.7000000000	0.2199206468
-80	5	1.22548377773675	1.702411151	0.8051973446	0.2120175278
-80	10	1.18890314914082	1.653577894	0.9034069071	0.2034069071
-80	15	1.15659990947844	1.601329959	0.9951004732	0.1941941865
-80	20	1.12843995606858	1.546123675	1.080757879	0.1844598291
-80	25	1.10429333118549	1.488289671	1.160847042	0.1742621338
-80	30	1.08403693674382	1.428045608	1.235807382	0.1636394800
-80	35	1.06756945497798	1.365519847	1.306043521	0.1526145014
-80	40	1.05480787451842	1.300757790	1.371915566	0.1411952034
-80	45	1.04568797840438	1.233731903	1.433731903	0.1293767310
-
-85	-45	1.83676098041773	1.796307942	-0.5963079420	0.1134122494
-85	-40	1.75781420781305	1.843549770	-0.4273721166	0.1175453738
-85	-35	1.68167982405211	1.874027421	-0.2621043578	0.1202118227
-85	-30	1.60896618370895	1.889423166	-0.1021838387	0.1215587758
-85	-25	1.54015229762114	1.891484626	0.05114006250	0.1217391303
-85	-20	1.47559710661215	1.881945371	0.1970130197	0.1209045535
-85	-15	1.41555699841786	1.862466672	0.3349281556	0.1192003882
-85	-10	1.36017255171591	1.834564091	0.4646803433	0.1167592287
-85	-5	1.30949976202472	1.799590135	0.5863005960	0.1136994040
-85	0	1.26352912988323	1.758721020	0.7000000000	0.1101238198
-85	5	1.22218991006470	1.712940999	0.8061185869	0.1061185869
-85	10	1.18537924802853	1.663061684	0.9050791551	0.1017547123
-85	15	1.15296626370468	1.609724377	0.9973497506	0.09708830261
-85	20	1.12481144389726	1.553423025	1.083414625	0.09216257259
-85	25	1.10077494494437	1.494519448	1.163752035	0.08700917737
-85	30	1.08071888698113	1.433255075	1.238815069	0.08164923928
-85	35	1.06452673541788	1.369778482	1.309025450	0.07609575696
-85	40	1.05209781212180	1.304149703	1.374761719	0.07035398282
-85	45	1.04334860949018	1.236351166	1.436351166	0.06442237936
-
-90	-45	1.83747367806209	1.799290098	-0.5992900980	0.000000000
-90	-40	1.75842298152504	1.847030154	-0.4302925051	0.000000000
-90	-35	1.68213381354120	1.877923352	-0.2648323182	0.000000000
-90	-30	1.60922580948238	1.893630431	-0.1046129047	0.000000000
-90	-25	1.54019114857684	1.895887231	0.04908709404	0.000000000
-90	-20	1.47540312989386	1.886425434	0.1953824101	0.000000000
-90	-15	1.41513308312522	1.866913593	0.3337366067	0.000000000
-90	-10	1.35953424099441	1.838879861	0.4639193566	0.000000000
-90	-5	1.30867296833032	1.803693073	0.5859416354	0.000000000
-90	0	1.26254735835398	1.762547358	0.7000000000	0.000000000
-90	5	1.22109169978445	1.716445077	0.8064251541	0.000000000
-90	10	1.18420514065352	1.666214404	0.9056350647	0.000000000
-90	15	1.15175677454483	1.612511614	0.9980965886	0.000000000
-90	20	1.12360511540350	1.555843436	1.084295583	0.000000000
-90	25	1.09960690994214	1.496582305	1.164713961	0.000000000
-90	30	1.07961898483541	1.434977467	1.239809492	0.000000000
-90	35	1.06351971643297	1.371184350	1.310009849	0.000000000
-90	40	1.05120240878871	1.305267764	1.375699884	0.000000000
-90	45	1.04257697933725	1.237213252	1.437213252	0.000000000
+45	-45	1.77503326751969	1.524815935	-0.3248159348	1.024815935
+45	-40	1.70854123358711	1.538998783	-0.1718234952	1.038998783
+45	-35	1.64795305731231	1.544286881	-0.03121754609	1.044286881
+45	-30	1.59273454324687	1.542689515	0.09800292772	1.042689515
+45	-25	1.54231304556072	1.535729428	0.2170314359	1.035729428
+45	-20	1.49612496155085	1.524533026	0.3271004744	1.024533026
+45	-15	1.45364954382282	1.509918065	0.4293932702	1.009918065
+45	-10	1.41441952584061	1.492461185	0.5250023159	0.9924611845
+45	-5	1.37802831975111	1.472553900	0.6149125591	0.9725539002
+45	0	1.34412647917176	1.450440948	0.7000000000	0.9504409482
+45	5	1.31242458302894	1.426253567	0.7810366867	0.9262535672
+45	10	1.28268567947912	1.400026990	0.8586990418	0.9000269903
+45	15	1.25472818354476	1.371718128	0.9335761683	0.8717181277
+45	20	1.22842367954307	1.341213577	1.006176703	0.8412135767
+45	25	1.20369706380496	1.308334258	1.076932455	0.8083342582
+45	30	1.18053395136999	1.272840885	1.146199893	0.7728408847
+45	35	1.15898500772203	1.234434050	1.214256258	0.7344340504
+45	40	1.13917370004493	1.192754769	1.281290271	0.6927547689
+45	45	1.12131017226278	1.147388730	1.347388730	0.6473887298
+
+50	-45	1.78888079652322	1.587854910	-0.3878549098	0.9128186536
+50	-40	1.71904012846423	1.607750280	-0.2295128512	0.9295128512
+50	-35	1.65466033662966	1.616999705	-0.08213161371	0.9372740406
+50	-30	1.59546105209616	1.617752788	0.05466512693	0.9379059522
+50	-25	1.54106268958070	1.611723038	0.1815950335	0.9328463914
+50	-20	1.49104278548939	1.600239536	0.2995455583	0.9232105889
+50	-15	1.44498267325383	1.584314399	0.4094588325	0.9098478120
+50	-10	1.40248270917757	1.564695270	0.5122654977	0.8933854084
+50	-5	1.36318460771513	1.541922609	0.6088435834	0.8742768773
+50	0	1.32677109437175	1.516365624	0.7000000000	0.8528320204
+50	5	1.29297698498491	1.488260832	0.7864616194	0.8292492994
+50	10	1.26158319220082	1.457731349	0.8688738772	0.8036320220
+50	15	1.23242394927905	1.424810420	0.9478022053	0.7760080826
+50	20	1.20538457647780	1.389452523	1.023734243	0.7463392839
+50	25	1.18040333926263	1.351543286	1.097081156	0.7145296573
+50	30	1.15747783419987	1.310909219	1.168178656	0.6804336269
+50	35	1.13666477915312	1.267320153	1.237283356	0.6438580576
+50	40	1.11808557470048	1.220494878	1.304566987	0.6045669866
+50	45	1.10193542331399	1.170109413	1.370109413	0.5622885613
+
+55	-45	1.80085712568802	1.641180243	-0.4411802432	0.7990630088
+55	-40	1.72837227272735	1.666759894	-0.2790277967	0.8169740731
+55	-35	1.66084760300223	1.680139804	-0.1263427870	0.8263427870
+55	-30	1.59823293773562	1.683511373	0.01669939045	0.8287035846
+55	-25	1.54033887858446	1.678708017	0.1503594250	0.8253402388
+55	-20	1.48689706637916	1.667221015	0.2751662937	0.8172969535
+55	-15	1.43760573200489	1.650236476	0.3917950651	0.8054042513
+55	-10	1.39215005701592	1.628669895	0.5009850453	0.7903031684
+55	-5	1.35023399796450	1.603217456	0.6034809792	0.7724811791
+55	0	1.31158304341067	1.574385931	0.7000000000	0.7522931280
+55	5	1.27596286170014	1.542533742	0.7912098838	0.7299899850
+55	10	1.24317463368243	1.507889757	0.8777181578	0.7057320056
+55	15	1.21306673698473	1.470581556	0.9600665442	0.6796085222
+55	20	1.18553183410164	1.430647926	1.038728144	0.6516466931
+55	25	1.16051056939407	1.388053357	1.114106081	0.6218216549
+55	30	1.13799685850946	1.342700831	1.186533551	0.5900654740
+55	35	1.11803488713660	1.294436209	1.256270222	0.5562702218
+55	40	1.10072378810414	1.243057726	1.323499464	0.5202946209
+55	45	1.08622214518494	1.188325150	1.388325150	0.4819704590
+
+60	-45	1.81100929092675	1.685583880	-0.4855838800	0.6844971723
+60	-40	1.73647297833417	1.716543337	-0.3208010657	0.7023716233
+60	-35	1.66638973424619	1.733982328	-0.1640437283	0.7124400294
+60	-30	1.60090285913105	1.740054022	-0.01594552368	0.7159455237
+60	-25	1.54000048574596	1.736648568	0.1233413021	0.7139793839
+60	-20	1.48356821812776	1.725375032	0.2539999626	0.7074706044
+60	-15	1.43142541349420	1.707564826	0.3764339801	0.6971878773
+60	-10	1.38335248548447	1.684290087	0.4911777046	0.6837502007
+60	-5	1.33912517737452	1.656401895	0.5988279437	0.6676489451
+60	0	1.29851837160090	1.624549897	0.7000000000	0.6492591858
+60	5	1.26133204383487	1.589223614	0.7952947183	0.6288635467
+60	10	1.22738800706087	1.550768669	0.8852788669	0.6066615740
+60	15	1.19654555588018	1.509417824	0.9704726907	0.5827876523
+60	20	1.16869808586590	1.465303406	1.051341707	0.5573181813
+60	25	1.14377934656495	1.418475744	1.128292273	0.5302822179
+60	30	1.12176797329758	1.368917736	1.201669889	0.5016698887
+60	35	1.10268256387750	1.316550156	1.271754575	0.4714354524
+60	40	1.08658687100792	1.261244220	1.338759744	0.4395045555
+60	45	1.07359045296662	1.202829931	1.402829931	0.4057790498
+
+65	-45	1.81941184319391	1.721813168	-0.5218131678	0.5697408370
+65	-40	1.74331423399296	1.757627357	-0.3552746512	0.5864412676
+65	-35	1.67119276161102	1.778840866	-0.1954540148	0.5963332896
+65	-30	1.60334771881011	1.787517556	-0.04334860733	0.6003792962
+65	-25	1.53992306960723	1.785554157	0.1005362518	0.5994637482
+65	-20	1.48094732420461	1.774635623	0.2360705737	0.5943723523
+65	-15	1.42635666177798	1.756207310	0.3634002659	0.5857790887
+65	-10	1.37602852857072	1.731479665	0.4828569088	0.5742483988
+65	-5	1.32981314694981	1.701449073	0.5948868263	0.5602449035
+65	0	1.28753771005128	1.666905453	0.7000000000	0.5441369489
+65	5	1.24903773739927	1.628470744	0.7987283972	0.5262145500
+65	10	1.21415486502577	1.586610485	0.8915987460	0.5066947906
+65	15	1.18275594469986	1.541665597	0.9791134554	0.4857366450
+65	20	1.15472978418145	1.493863653	1.061736787	0.4634462326
+65	25	1.12999615206648	1.443340144	1.139886733	0.4398867334
+65	30	1.10850987209568	1.390153710	1.213930484	0.4150854921
+65	35	1.09025697107304	1.334293447	1.284178561	0.3890374234
+65	40	1.07526032705936	1.275693089	1.350883785	0.3617116277
+65	45	1.06357787545675	1.214238207	1.414238207	0.3330547458
+
+70	-45	1.82614726781936	1.750529358	-0.5505293575	0.4551554632
+70	-40	1.74888869095999	1.790503868	-0.3828613197	0.4697049952
+70	-35	1.67518822478840	1.815030438	-0.2207942255	0.4786319365
+70	-30	1.60546752426647	1.826059560	-0.06560084390	0.4826462087
+70	-25	1.53999994209455	1.825461584	0.08192711299	0.4824285631
+70	-20	1.47893683663477	1.814961920	0.2213930021	0.4786069979
+70	-15	1.42232082068279	1.796090822	0.3527135110	0.4717384800
+70	-10	1.37012025368135	1.770174126	0.4760340314	0.4623055742
+70	-5	1.32225563088172	1.738336020	0.5916596366	0.4507174513
+70	0	1.27860559984579	1.701496247	0.7000000000	0.4373088705
+70	5	1.23903940579167	1.660401280	0.8015219571	0.4223515256
+70	10	1.20341608671637	1.615630524	0.8967157618	0.4060563031
+70	15	1.17160662889150	1.567627343	0.9860698843	0.3885845740
+70	20	1.14349205959537	1.516709082	1.070051843	0.3700518428
+70	25	1.11897505136396	1.463089935	1.149096212	0.3505360691
+70	30	1.09798329284346	1.406895481	1.223596350	0.3300829606
+70	35	1.08046837709876	1.348172630	1.293896869	0.3087095910
+70	40	1.06641215640586	1.286904861	1.360291579	0.2864099467
+70	45	1.05582414453116	1.223018955	1.423018955	0.2631573784
+
+75	-45	1.83129410372937	1.772285335	-0.5722853350	0.3409078280
+75	-40	1.75320407435055	1.815603610	-0.4039225041	0.3525149249
+75	-35	1.67833205785933	1.842842971	-0.2402687707	0.3598136896
+75	-30	1.60718836369282	1.855840212	-0.08279471161	0.3632962900
+75	-25	1.54014724442560	1.856423872	0.06748916067	0.3634526812
+75	-20	1.47745793718840	1.846334557	0.2099742959	0.3607492572
+75	-15	1.41925268326853	1.827161814	0.3443880637	0.3556119363
+75	-10	1.36557814619185	1.800321841	0.4707181757	0.3484201873
+75	-5	1.31641619524617	1.767044135	0.5891480020	0.3395034527
+75	0	1.27169068446213	1.728358875	0.7000000000	0.3291377686
+75	5	1.23130052414350	1.685120719	0.8036846278	0.3175521395
+75	10	1.19511909938285	1.638008449	0.9006615938	0.3049284449
+75	15	1.16301909209558	1.587554419	0.9914093284	0.2914093284
+75	20	1.13487220111392	1.534153070	1.076400935	0.2771004800
+75	25	1.11056363625529	1.478085072	1.156088559	0.2620771051
+75	30	1.08999497831987	1.419530689	1.230891291	0.2463875054
+75	35	1.07308614253291	1.358582291	1.301185792	0.2300564315
+75	40	1.05978296095426	1.295260694	1.367302955	0.2130894608
+75	45	1.05005436280347	1.229521689	1.429521689	0.1954747473
+
+80	-45	1.83492034342063	1.787515609	-0.5875156093	0.2270237400
+80	-40	1.75627389471522	1.833275980	-0.4187513832	0.2350925280
+80	-35	1.68059536071996	1.862523658	-0.2540493366	0.2402496828
+80	-30	1.60845520741932	1.877000857	-0.09501181549	0.2428024036
+80	-25	1.54029941560889	1.878494246	0.05719757645	0.2430657283
+80	-20	1.47644791857982	1.868745509	0.2018173763	0.2413467630
+80	-15	1.41710047233334	1.849382092	0.3384341582	0.2379324701
+80	-10	1.36236380550599	1.821884605	0.4669160787	0.2330839213
+80	-5	1.31226733660534	1.787560804	0.5873530260	0.2270317091
+80	0	1.26677020381077	1.747525118	0.7000000000	0.2199723374
+80	5	1.22579408174304	1.702715613	0.8052239816	0.2120712127
+80	10	1.18922309849237	1.653888337	0.9034616466	0.2034616466
+80	15	1.15693061953714	1.601644866	0.9951848522	0.1942497130
+80	20	1.12877981929380	1.546438746	1.080872556	0.1845153846
+80	25	1.10464104361570	1.488600857	1.160992150	0.1743170042
+80	30	1.08439449441039	1.428351714	1.235984112	0.1636934547
+80	35	1.06793482705607	1.365816068	1.306250938	0.1526667332
+80	40	1.05517997574730	1.301040271	1.372152596	0.1412450124
+80	45	1.04606833334772	1.233998788	1.433998788	0.1294237901
+
+85	-45	1.83707488088059	1.796529480	-0.5965294796	0.1134316314
+85	-40	1.75810926667703	1.843775292	-0.4275613523	0.1175651044
+85	-35	1.68195890680135	1.874255447	-0.2622640235	0.1202317724
+85	-30	1.60922909525845	1.889650203	-0.1023149188	0.1215786390
+85	-25	1.54040846233487	1.891716064	0.05103214134	0.1217593785
+85	-20	1.47585964658595	1.882191248	0.1969235276	0.1209260650
+85	-15	1.41582422701469	1.862723878	0.3348592374	0.1192228908
+85	-10	1.36044664517280	1.834833024	0.4646329232	0.1167827573
+85	-5	1.30978640493421	1.799874608	0.5862757078	0.1137242922
+85	0	1.26382507402587	1.759015838	0.7000000000	0.1101496130
+85	5	1.22249864241557	1.713247395	0.8061453931	0.1061453931
+85	10	1.18569788202014	1.663374319	0.9051342811	0.1017820643
+85	15	1.15329619796988	1.610041937	0.9974348406	0.09711608552
+85	20	1.12515085613040	1.553740896	1.083530321	0.09219038268
+85	25	1.10112225462149	1.494833233	1.163898355	0.08703662996
+85	30	1.08107666585562	1.433564035	1.238993447	0.08167626978
+85	35	1.06489249351460	1.370077327	1.309234703	0.07612190251
+85	40	1.05247017663132	1.304434313	1.375000535	0.07037888290
+85	45	1.04372938802460	1.236619903	1.436619903	0.06444589083
+
+90	-45	1.83778877515284	1.799512905	-0.5995129053	0.000000000
+90	-40	1.75871917915169	1.847257054	-0.4304828973	0.000000000
+90	-35	1.68241356698891	1.878152513	-0.2649927782	0.000000000
+90	-30	1.60948861181162	1.893858025	-0.1047443059	0.000000000
+90	-25	1.54044706813684	1.896119173	0.04897893776	0.000000000
+90	-20	1.47566581334839	1.886672276	0.1952925670	0.000000000
+90	-15	1.41540062932428	1.867172022	0.3336673607	0.000000000
+90	-10	1.35980879887433	1.839150248	0.4638716801	0.000000000
+90	-5	1.30896012278461	1.803979134	0.5859166083	0.000000000
+90	0	1.26284386348782	1.762843863	0.7000000000	0.000000000
+90	5	1.22140090207210	1.716753103	0.8064521028	0.000000000
+90	10	1.18452424401961	1.666528659	0.9056904764	0.000000000
+90	15	1.15208724758654	1.612830827	0.9981821213	0.000000000
+90	20	1.12394507265599	1.556162891	1.084411855	0.000000000
+90	25	1.09995461977741	1.496897437	1.164860909	0.000000000
+90	30	1.07997733363519	1.435287806	1.239988667	0.000000000
+90	35	1.06388603422138	1.371484420	1.310219960	0.000000000
+90	40	1.05157519539529	1.305553335	1.375939506	0.000000000
+90	45	1.04295816884849	1.237482794	1.437482794	0.000000000
+
+95	-45	1.83707488088059	1.796529480	-0.5965294796	-0.1134316314
+95	-40	1.75810926667703	1.843775292	-0.4275613523	-0.1175651044
+95	-35	1.68195890680135	1.874255447	-0.2622640235	-0.1202317724
+95	-30	1.60922909525845	1.889650203	-0.1023149188	-0.1215786390
+95	-25	1.54040846233487	1.891716064	0.05103214134	-0.1217593785
+95	-20	1.47585964658595	1.882191248	0.1969235276	-0.1209260650
+95	-15	1.41582422701469	1.862723878	0.3348592374	-0.1192228908
+95	-10	1.36044664517280	1.834833024	0.4646329232	-0.1167827573
+95	-5	1.30978640493421	1.799874608	0.5862757078	-0.1137242922
+95	0	1.26382507402587	1.759015838	0.7000000000	-0.1101496130
+95	5	1.22249864241557	1.713247395	0.8061453931	-0.1061453931
+95	10	1.18569788202014	1.663374319	0.9051342811	-0.1017820643
+95	15	1.15329619796988	1.610041937	0.9974348406	-0.09711608552
+95	20	1.12515085613040	1.553740896	1.083530321	-0.09219038268
+95	25	1.10112225462149	1.494833233	1.163898355	-0.08703662996
+95	30	1.08107666585562	1.433564035	1.238993447	-0.08167626978
+95	35	1.06489249351460	1.370077327	1.309234703	-0.07612190251
+95	40	1.05247017663132	1.304434313	1.375000535	-0.07037888290
+95	45	1.04372938802460	1.236619903	1.436619903	-0.06444589083
+
+100	-45	1.83492034342063	1.787515609	-0.5875156093	-0.2270237400
+100	-40	1.75627389471522	1.833275980	-0.4187513832	-0.2350925280
+100	-35	1.68059536071995	1.862523658	-0.2540493366	-0.2402496828
+100	-30	1.60845520741932	1.877000857	-0.09501181549	-0.2428024036
+100	-25	1.54029941560889	1.878494246	0.05719757645	-0.2430657283
+100	-20	1.47644791857981	1.868745509	0.2018173763	-0.2413467630
+100	-15	1.41710047233334	1.849382092	0.3384341582	-0.2379324701
+100	-10	1.36236380550599	1.821884605	0.4669160787	-0.2330839213
+100	-5	1.31226733660533	1.787560804	0.5873530260	-0.2270317091
+100	0	1.26677020381076	1.747525118	0.7000000000	-0.2199723374
+100	5	1.22579408174304	1.702715613	0.8052239816	-0.2120712127
+100	10	1.18922309849237	1.653888337	0.9034616466	-0.2034616466
+100	15	1.15693061953714	1.601644866	0.9951848522	-0.1942497130
+100	20	1.12877981929380	1.546438746	1.080872556	-0.1845153846
+100	25	1.10464104361570	1.488600857	1.160992150	-0.1743170042
+100	30	1.08439449441039	1.428351714	1.235984112	-0.1636934547
+100	35	1.06793482705607	1.365816068	1.306250938	-0.1526667332
+100	40	1.05517997574730	1.301040271	1.372152596	-0.1412450124
+100	45	1.04606833334772	1.233998788	1.433998788	-0.1294237901
+
+105	-45	1.83129410372937	1.772285335	-0.5722853350	-0.3409078280
+105	-40	1.75320407435055	1.815603610	-0.4039225041	-0.3525149249
+105	-35	1.67833205785933	1.842842971	-0.2402687707	-0.3598136896
+105	-30	1.60718836369282	1.855840212	-0.08279471161	-0.3632962900
+105	-25	1.54014724442560	1.856423872	0.06748916067	-0.3634526812
+105	-20	1.47745793718840	1.846334557	0.2099742959	-0.3607492572
+105	-15	1.41925268326853	1.827161814	0.3443880637	-0.3556119363
+105	-10	1.36557814619185	1.800321841	0.4707181757	-0.3484201873
+105	-5	1.31641619524617	1.767044135	0.5891480020	-0.3395034527
+105	0	1.27169068446213	1.728358875	0.7000000000	-0.3291377686
+105	5	1.23130052414350	1.685120719	0.8036846278	-0.3175521395
+105	10	1.19511909938285	1.638008449	0.9006615938	-0.3049284449
+105	15	1.16301909209558	1.587554419	0.9914093284	-0.2914093284
+105	20	1.13487220111392	1.534153070	1.076400935	-0.2771004800
+105	25	1.11056363625529	1.478085072	1.156088559	-0.2620771051
+105	30	1.08999497831987	1.419530689	1.230891291	-0.2463875054
+105	35	1.07308614253291	1.358582291	1.301185792	-0.2300564315
+105	40	1.05978296095426	1.295260694	1.367302955	-0.2130894608
+105	45	1.05005436280347	1.229521689	1.429521689	-0.1954747473
+
+110	-45	1.82614726781936	1.750529358	-0.5505293575	-0.4551554632
+110	-40	1.74888869095999	1.790503868	-0.3828613197	-0.4697049952
+110	-35	1.67518822478839	1.815030438	-0.2207942255	-0.4786319365
+110	-30	1.60546752426647	1.826059560	-0.06560084390	-0.4826462087
+110	-25	1.53999994209455	1.825461584	0.08192711299	-0.4824285631
+110	-20	1.47893683663476	1.814961920	0.2213930021	-0.4786069979
+110	-15	1.42232082068279	1.796090822	0.3527135110	-0.4717384800
+110	-10	1.37012025368135	1.770174126	0.4760340314	-0.4623055742
+110	-5	1.32225563088172	1.738336020	0.5916596366	-0.4507174513
+110	0	1.27860559984579	1.701496247	0.7000000000	-0.4373088705
+110	5	1.23903940579167	1.660401280	0.8015219571	-0.4223515256
+110	10	1.20341608671637	1.615630524	0.8967157618	-0.4060563031
+110	15	1.17160662889150	1.567627343	0.9860698843	-0.3885845740
+110	20	1.14349205959537	1.516709082	1.070051843	-0.3700518428
+110	25	1.11897505136396	1.463089935	1.149096212	-0.3505360691
+110	30	1.09798329284346	1.406895481	1.223596350	-0.3300829606
+110	35	1.08046837709876	1.348172630	1.293896869	-0.3087095910
+110	40	1.06641215640586	1.286904861	1.360291579	-0.2864099467
+110	45	1.05582414453116	1.223018955	1.423018955	-0.2631573784
+
+115	-45	1.81941184319391	1.721813168	-0.5218131678	-0.5697408370
+115	-40	1.74331423399296	1.757627357	-0.3552746512	-0.5864412676
+115	-35	1.67119276161102	1.778840866	-0.1954540148	-0.5963332896
+115	-30	1.60334771881010	1.787517556	-0.04334860733	-0.6003792962
+115	-25	1.53992306960723	1.785554157	0.1005362518	-0.5994637482
+115	-20	1.48094732420460	1.774635623	0.2360705737	-0.5943723523
+115	-15	1.42635666177798	1.756207310	0.3634002659	-0.5857790887
+115	-10	1.37602852857072	1.731479665	0.4828569088	-0.5742483988
+115	-5	1.32981314694981	1.701449073	0.5948868263	-0.5602449035
+115	0	1.28753771005128	1.666905453	0.7000000000	-0.5441369489
+115	5	1.24903773739926	1.628470744	0.7987283972	-0.5262145500
+115	10	1.21415486502577	1.586610485	0.8915987460	-0.5066947906
+115	15	1.18275594469986	1.541665597	0.9791134554	-0.4857366450
+115	20	1.15472978418145	1.493863653	1.061736787	-0.4634462326
+115	25	1.12999615206648	1.443340144	1.139886733	-0.4398867334
+115	30	1.10850987209568	1.390153710	1.213930484	-0.4150854921
+115	35	1.09025697107304	1.334293447	1.284178561	-0.3890374234
+115	40	1.07526032705936	1.275693089	1.350883785	-0.3617116277
+115	45	1.06357787545675	1.214238207	1.414238207	-0.3330547458
+
+120	-45	1.81100929092675	1.685583880	-0.4855838800	-0.6844971723
+120	-40	1.73647297833417	1.716543337	-0.3208010657	-0.7023716233
+120	-35	1.66638973424618	1.733982328	-0.1640437283	-0.7124400294
+120	-30	1.60090285913105	1.740054022	-0.01594552368	-0.7159455237
+120	-25	1.54000048574596	1.736648568	0.1233413021	-0.7139793839
+120	-20	1.48356821812776	1.725375032	0.2539999626	-0.7074706044
+120	-15	1.43142541349420	1.707564826	0.3764339801	-0.6971878773
+120	-10	1.38335248548447	1.684290087	0.4911777046	-0.6837502007
+120	-5	1.33912517737452	1.656401895	0.5988279437	-0.6676489451
+120	0	1.29851837160090	1.624549897	0.7000000000	-0.6492591858
+120	5	1.26133204383487	1.589223614	0.7952947183	-0.6288635467
+120	10	1.22738800706087	1.550768669	0.8852788669	-0.6066615740
+120	15	1.19654555588018	1.509417824	0.9704726907	-0.5827876523
+120	20	1.16869808586590	1.465303406	1.051341707	-0.5573181813
+120	25	1.14377934656495	1.418475744	1.128292273	-0.5302822179
+120	30	1.12176797329758	1.368917736	1.201669889	-0.5016698887
+120	35	1.10268256387750	1.316550156	1.271754575	-0.4714354524
+120	40	1.08658687100792	1.261244220	1.338759744	-0.4395045555
+120	45	1.07359045296662	1.202829931	1.402829931	-0.4057790498
+
+125	-45	1.80085712568802	1.641180243	-0.4411802432	-0.7990630088
+125	-40	1.72837227272735	1.666759894	-0.2790277967	-0.8169740731
+125	-35	1.66084760300223	1.680139804	-0.1263427870	-0.8263427870
+125	-30	1.59823293773562	1.683511373	0.01669939045	-0.8287035846
+125	-25	1.54033887858446	1.678708017	0.1503594250	-0.8253402388
+125	-20	1.48689706637915	1.667221015	0.2751662937	-0.8172969535
+125	-15	1.43760573200489	1.650236476	0.3917950651	-0.8054042513
+125	-10	1.39215005701592	1.628669895	0.5009850453	-0.7903031684
+125	-5	1.35023399796450	1.603217456	0.6034809792	-0.7724811791
+125	0	1.31158304341067	1.574385931	0.7000000000	-0.7522931280
+125	5	1.27596286170014	1.542533742	0.7912098838	-0.7299899850
+125	10	1.24317463368243	1.507889757	0.8777181578	-0.7057320056
+125	15	1.21306673698472	1.470581556	0.9600665442	-0.6796085222
+125	20	1.18553183410163	1.430647926	1.038728144	-0.6516466931
+125	25	1.16051056939407	1.388053357	1.114106081	-0.6218216549
+125	30	1.13799685850946	1.342700831	1.186533551	-0.5900654740
+125	35	1.11803488713660	1.294436209	1.256270222	-0.5562702218
+125	40	1.10072378810414	1.243057726	1.323499464	-0.5202946209
+125	45	1.08622214518494	1.188325150	1.388325150	-0.4819704590
+
+130	-45	1.78888079652321	1.587854910	-0.3878549098	-0.9128186536
+130	-40	1.71904012846423	1.607750280	-0.2295128512	-0.9295128512
+130	-35	1.65466033662966	1.616999705	-0.08213161371	-0.9372740406
+130	-30	1.59546105209616	1.617752788	0.05466512693	-0.9379059522
+130	-25	1.54106268958070	1.611723038	0.1815950335	-0.9328463914
+130	-20	1.49104278548938	1.600239536	0.2995455583	-0.9232105889
+130	-15	1.44498267325383	1.584314399	0.4094588325	-0.9098478120
+130	-10	1.40248270917757	1.564695270	0.5122654977	-0.8933854084
+130	-5	1.36318460771513	1.541922609	0.6088435834	-0.8742768773
+130	0	1.32677109437175	1.516365624	0.7000000000	-0.8528320204
+130	5	1.29297698498491	1.488260832	0.7864616194	-0.8292492994
+130	10	1.26158319220082	1.457731349	0.8688738772	-0.8036320220
+130	15	1.23242394927905	1.424810420	0.9478022053	-0.7760080826
+130	20	1.20538457647780	1.389452523	1.023734243	-0.7463392839
+130	25	1.18040333926263	1.351543286	1.097081156	-0.7145296573
+130	30	1.15747783419986	1.310909219	1.168178656	-0.6804336269
+130	35	1.13666477915312	1.267320153	1.237283356	-0.6438580576
+130	40	1.11808557470048	1.220494878	1.304566987	-0.6045669866
+130	45	1.10193542331398	1.170109413	1.370109413	-0.5622885613
+
+135	-45	1.77503326751968	1.524815935	-0.3248159348	-1.024815935
+135	-40	1.70854123358711	1.538998783	-0.1718234952	-1.038998783
+135	-35	1.64795305731231	1.544286881	-0.03121754609	-1.044286881
+135	-30	1.59273454324687	1.542689515	0.09800292772	-1.042689515
+135	-25	1.54231304556072	1.535729428	0.2170314359	-1.035729428
+135	-20	1.49612496155085	1.524533026	0.3271004744	-1.024533026
+135	-15	1.45364954382282	1.509918065	0.4293932702	-1.009918065
+135	-10	1.41441952584061	1.492461185	0.5250023159	-0.9924611845
+135	-5	1.37802831975111	1.472553900	0.6149125591	-0.9725539002
+135	0	1.34412647917176	1.450440948	0.7000000000	-0.9504409482
+135	5	1.31242458302894	1.426253567	0.7810366867	-0.9262535672
+135	10	1.28268567947912	1.400026990	0.8586990418	-0.9000269903
+135	15	1.25472818354476	1.371718128	0.9335761683	-0.8717181277
+135	20	1.22842367954307	1.341213577	1.006176703	-0.8412135767
+135	25	1.20369706380496	1.308334258	1.076932455	-0.8083342582
+135	30	1.18053395136999	1.272840885	1.146199893	-0.7728408847
+135	35	1.15898500772203	1.234434050	1.214256258	-0.7344340504
+135	40	1.13917370004493	1.192754769	1.281290271	-0.6927547689
+135	45	1.12131017226278	1.147388730	1.347388730	-0.6473887298
 
 
 ### +y patch
-# N_rho = 10
+# N_rho = 19
 # 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	1.12093452996405	1.147171853	1.347171853	0.6471718526
-40	45	1.12682859005267	1.074990887	1.385247456	0.6852474556
-35	45	1.13500588783370	1.003616421	1.419238787	0.7192387873
-30	45	1.14517530931082	0.9328355823	1.449693220	0.7496932198
-25	45	1.15713535850255	0.8623518612	1.477066074	0.7770660740
-20	45	1.17076005182312	0.7918044142	1.501726039	0.8017260389
-15	45	1.18599009354349	0.7207801063	1.523962574	0.8239625740
-10	45	1.20282873505755	0.6488188187	1.543993461	0.8439934612
-5	45	1.22133376811805	0.5754122128	1.561965536	0.8619655362
-0	45	1.24161573471382	0.5000000000	1.577954906	0.8779549056
--5	45	1.26384113402235	0.4219631365	1.591965431	0.8919654309
--10	45	1.28823127973000	0.3406148342	1.603918193	0.9039181929
--15	45	1.31506742243320	0.2551912728	1.613638608	0.9136386082
--20	45	1.34469878638237	0.1648424748	1.620837733	0.9208377325
--25	45	1.37754280872270	0.06862851271	1.625079140	0.9250791398
--30	45	1.41409544891441	-0.03447784113	1.625742776	0.9257427764
--35	45	1.45492594646064	-0.1455689836	1.621968057	0.9219680572
--40	45	1.50067348736558	-0.2657540709	1.612590165	0.9125901650
--45	45	1.55201833649053	-0.3960582044	1.596058204	0.8960582044
-
-45	50	1.10155906449619	1.169880542	1.369880542	0.5620965154
-40	50	1.10531956613638	1.097664199	1.412268456	0.5976641990
-35	50	1.11175335059296	1.025508120	1.450503374	0.6297471040
-30	50	1.12058975039503	0.9532580995	1.485066057	0.6587486391
-25	50	1.13163275491313	0.8806750007	1.516360173	0.6850075204
-20	50	1.14475433808652	0.8074505734	1.544713508	0.7087987930
-15	50	1.15988873786550	0.7332176255	1.570380028	0.7303355603
-10	50	1.17703130949988	0.6575558727	1.593543756	0.7497722363
-5	50	1.19623250258710	0.5799922973	1.614316141	0.7672023371
-0	50	1.21759618503601	0.5000000000	1.632732792	0.7826557413
--5	50	1.24128321443068	0.4169951530	1.648749743	0.7960955592
--10	50	1.26750798395219	0.3303330380	1.662229157	0.8074061310
--15	50	1.29654242580670	0.2393055591	1.672924899	0.8163809235
--20	50	1.32871938476121	0.1431413072	1.680461201	0.8227046317
--25	50	1.36442783694344	0.04101402110	1.684298608	0.8259245991
--30	50	1.40411797094769	-0.06794008939	1.683701090	0.8254232222
--35	50	1.44828390349420	-0.1845807574	1.677682644	0.8203731461
--40	50	1.49745468104011	-0.3096980094	1.664960512	0.8096980094
--45	50	1.55214962676492	-0.4438938556	1.643893856	0.7920209861
-
-45	55	1.08584443463736	1.188085800	1.388085800	0.4818028641
-40	55	1.08762230463235	1.116078194	1.434213401	0.5141017582
-35	55	1.09237200861874	1.043501841	1.476201071	0.5435018411
-30	55	1.09985989941637	0.9702286644	1.514459938	0.5702909881
-25	55	1.10991304047982	0.8960513172	1.549334791	0.5947106229
-20	55	1.12241731071026	0.8206951691	1.581102736	0.6169547774
-15	55	1.13731402022361	0.7438260962	1.609971379	0.6371688193
-10	55	1.15460068990912	0.6650560605	1.636079435	0.6554498769
-5	55	1.17432797059645	0.5839446985	1.659492294	0.6718437373
-0	55	1.19659651679557	0.5000000000	1.680194483	0.6863395659
--5	55	1.22156156803066	0.4126788937	1.698084812	0.6988665090
--10	55	1.24942748750727	0.3213879649	1.712959188	0.7092816590
--15	55	1.28045033497921	0.2254872436	1.724495554	0.7173595099
--20	55	1.31493655066337	0.1242985604	1.732231222	0.7227760826
--25	55	1.35323499018933	0.01712388194	1.735531177	0.7250867361
--30	55	1.39573537652768	-0.09672580325	1.733559409	0.7237060897
--35	55	1.44284532011382	-0.2178773181	1.725235061	0.7178773181
--40	55	1.49497314436809	-0.3468200322	1.709200816	0.7066500187
--45	55	1.55248384083983	-0.4837892534	1.683789253	0.6888566512
-
-45	60	1.07321183005832	1.202582064	1.402582064	0.4056359438
-40	60	1.07321951859129	1.130901628	1.451879281	0.4340977054
-35	60	1.07641861354318	1.058136391	1.497101374	0.4602066929
-30	60	1.08262143806120	0.9841630259	1.538594960	0.4841630259
-25	60	1.09168878089776	0.9087867742	1.576646066	0.5061318424
-20	60	1.10353109044618	0.8317507760	1.611477766	0.5262419335
-15	60	1.11810650572354	0.7527419651	1.643245855	0.5445832483
-10	60	1.13542347381875	0.6713964724	1.672037698	0.5612062264
-5	60	1.15553840112203	0.5873019178	1.697865486	0.5761179071
-0	60	1.17855234155000	0.5000000000	1.720656267	0.5892761708
--5	60	1.20461586494066	0.4089902377	1.740246343	0.6005865061
--10	60	1.23392140143474	0.3137348925	1.756361918	0.6098908375
--15	60	1.26670495103615	0.2136681551	1.768604993	0.6169593803
--20	60	1.30323983808655	0.1082114665	1.776430149	0.6214772362
--25	60	1.34382761435591	-0.003201063537	1.779118163	0.6230291620
--30	60	1.38878928644880	-0.1210854502	1.775751556	0.6210854502
--35	60	1.43844252847576	-0.2458502772	1.765184587	0.6149846079
--40	60	1.49307575699056	-0.3777178470	1.746023397	0.6039218901
--45	60	1.55291396762809	-0.5166208292	1.716620829	0.5869463094
-
-45	65	1.06319900299684	1.213983778	1.413983778	0.3329361036
-40	65	1.06168627412207	1.142667048	1.465900763	0.3571453914
-35	65	1.06352017453366	1.069852522	1.513833744	0.3794969071
-30	65	1.06856044654326	0.9954090186	1.558073591	0.4001262866
-25	65	1.07670618324385	0.9191419280	1.598852765	0.4191419280
-20	65	1.08789806566571	0.8408007275	1.636342303	0.4366235867
-15	65	1.10211806978501	0.7600840724	1.670646972	0.4526201166
-10	65	1.11939079219056	0.6766445766	1.701801176	0.4671475603
-5	65	1.13978292693063	0.5900925074	1.729762071	0.4801859400
-0	65	1.16339887775870	0.5000000000	1.754397462	0.4916736114
--5	65	1.19038569244201	0.4059076696	1.775480258	0.5015046805
--10	65	1.22092318718493	0.3073331843	1.792667809	0.5095193673
--15	65	1.25522498946424	0.2037848884	1.805489846	0.5154983814
--20	65	1.29352804257021	0.09478253354	1.813325839	0.5191523648
--25	65	1.33608377827352	-0.02011285851	1.815385625	0.5201128585
--30	65	1.38314246821501	-0.1412564258	1.810688710	0.5179226514
--35	65	1.43493514343988	-0.2688630927	1.798050293	0.5120292608
--40	65	1.49164043890970	-0.4029297835	1.776069813	0.5017795947
--45	65	1.55336176572338	-0.5431491181	1.743149118	0.4864284224
-
-45	70	1.05544412093325	1.222758718	1.422758718	0.2630626600
-40	70	1.05267912543307	1.151788483	1.476771266	0.2827216198
-35	70	1.05336721702846	1.079000280	1.526898095	0.3009662935
-30	70	1.05741150433077	1.004248842	1.573384614	0.3178860026
-25	70	1.06474792656083	0.9273323699	1.616417225	0.3335485919
-20	70	1.07534895507552	0.8479996727	1.656121243	0.3479996727
-15	70	1.08922199031910	0.7659541190	1.692554284	0.3612602154
-10	70	1.10641045473835	0.6808587885	1.725701159	0.3733246912
-5	70	1.12699376599222	0.5923413834	1.755466842	0.3841585136
-0	70	1.15108167303781	0.5000000000	1.781662954	0.3936931188
--5	70	1.17881907562703	0.4034122570	1.804002954	0.4018242138
--10	70	1.21037391403666	0.3021468807	1.822080799	0.4084040111
--15	70	1.24593731419335	0.1957808751	1.835361231	0.4132376931
--20	70	1.28571016625434	0.08392416254	1.843158968	0.4160758375
--25	70	1.32989559635569	-0.03374833868	1.844627006	0.4166101596
--30	70	1.37867785646304	-0.1574514367	1.838739292	0.4144672068
--35	70	1.43220976432167	-0.2872371959	1.824291232	0.4092085431
--40	70	1.49057579494986	-0.4229214419	1.799894944	0.4003290205
--45	70	1.55377800432041	-0.5640133158	1.764013316	0.3872691758
-
-45	75	1.04967382824983	1.229257313	1.429257313	0.1954039082
-40	75	1.04593267236904	1.158581982	1.484867443	0.2103045976
-35	75	1.04571442292338	1.085851060	1.536682023	0.2241882725
-30	75	1.04895836476035	1.010904060	1.584911790	0.2371113996
-25	75	1.05563260810441	0.9335293716	1.629706738	0.2491141695
-20	75	1.06573849632061	0.8534714890	1.671154934	0.2602201804
-15	75	1.07930719991634	0.7704342417	1.709274330	0.2704342417
-10	75	1.09640045544542	0.6840866429	1.744007231	0.2797408945
-5	75	1.11711051877709	0.5940689832	1.775213398	0.2881025617
-0	75	1.14155322604339	0.5000000000	1.802655743	0.2954557159
--5	75	1.16987234669001	0.4014880799	1.825996399	0.3017098257
--10	75	1.20222473850332	0.2981453628	1.844774534	0.3067414119
--15	75	1.23878170325379	0.1896073791	1.858401032	0.3103926209
--20	75	1.27971213985928	0.07556027381	1.866138564	0.3124658864
--25	75	1.32517662583854	-0.04422626337	1.867096988	0.3127226955
--30	75	1.37530302443016	-0.1698529922	1.860219416	0.3108798556
--35	75	1.43017880048758	-0.3012433871	1.844294146	0.3066126924
--40	75	1.48981299199741	-0.4380756711	1.817955051	0.2995551531
--45	75	1.55412833992776	-0.5797253655	1.779725366	0.2893115397
-
-45	80	1.04568798090850	1.233731904	1.433731904	0.1293767313
-40	80	1.04125004841341	1.163279193	1.490465361	0.1393803705
-35	80	1.04037773307368	1.090607180	1.543474466	0.1487273060
-30	80	1.04303749263257	1.015542570	1.592945924	0.1574504587
-25	80	1.04922198602947	0.9378645013	1.639003453	0.1655716438
-20	80	1.05895539958692	0.8573124204	1.681707807	0.1731015735
-15	80	1.07228815771018	0.7735887667	1.721047178	0.1800381660
-10	80	1.08929710861340	0.6863655218	1.756931396	0.1863655218
-5	80	1.11008537599631	0.5952913747	1.789185397	0.1920527724
-0	80	1.13477452987608	0.5000000000	1.817534755	0.1970515292
--5	80	1.16350737282434	0.4001228019	1.841601598	0.2012951630
--10	80	1.19643254780307	0.2953049041	1.860883576	0.2046950959
--15	80	1.23370571160479	0.1852263810	1.874751139	0.2071403214
--20	80	1.27547070620676	0.06963104834	1.882428977	0.2084941314
--25	80	1.32185475188329	-0.05164043398	1.882996728	0.2085942413
--30	80	1.37294261299982	-0.1786049088	1.875378180	0.2072508857
--35	80	1.42877291184549	-0.3110934259	1.858361460	0.2042503787
--40	80	1.48930005643451	-0.4486883015	1.830602692	0.1993557590
--45	80	1.55439071299482	-0.5906753054	1.790675305	0.1923154835
-
-45	85	1.04334861062558	1.236351166	1.436351166	0.06442237943
-40	85	1.03849308382439	1.166036343	1.493751204	0.06944423202
-35	85	1.03722606058511	1.093406485	1.547472288	0.07414421789
-30	85	1.03953080969044	1.018279889	1.597687101	0.07853744469
-25	85	1.04541519693977	0.9404291968	1.644503460	0.08263334545
-20	85	1.05491802560081	0.8595900465	1.687965533	0.08643578409
-15	85	1.06810222552209	0.7754633335	1.728043156	0.08994212177
-10	85	1.08505449118179	0.6877222489	1.764625777	0.09314268643
-5	85	1.10588510382626	0.5960202368	1.797516328	0.09602023677
-0	85	1.13071972956079	0.5000000000	1.826417000	0.09854871787
--5	85	1.15970039589676	0.3993071647	1.850924374	0.1006928353
--10	85	1.19297060033952	0.2936074862	1.870510111	0.1024063653
--15	85	1.23067623081898	0.1826088657	1.884519839	0.1036320577
--20	85	1.27294527166816	0.06609097738	1.892155242	0.1043000688
--25	85	1.31988349329811	-0.05606158059	1.892477908	0.1043282984
--30	85	1.37154850528989	-0.1838142753	1.884401068	0.1036216665
--35	85	1.42794898699952	-0.3169426328	1.866714993	0.1020743354
--40	85	1.48900636888349	-0.4549725189	1.838091930	0.09957014194
--45	85	1.55455372313083	-0.5971380376	1.797138038	0.09598714061
-
-45	90	1.04257698005837	1.237213253	1.437213253	0.000000000
-40	90	1.03758226397497	1.166945023	1.494834128	0.000000000
-35	90	1.03618321172463	1.094330274	1.548791596	0.000000000
-30	90	1.03836878964145	1.019184395	1.599253750	0.000000000
-25	90	1.04415199098197	0.9412776994	1.646323080	0.000000000
-20	90	1.05357665203716	0.8603444375	1.690038205	0.000000000
-15	90	1.06671003806386	0.7760848735	1.730362775	0.000000000
-10	90	1.08364224830152	0.6881725017	1.767179288	0.000000000
-5	90	1.10448605179575	0.5962623022	1.800283149	0.000000000
-0	90	1.12936862335653	0.5000000000	1.829368623	0.000000000
--5	90	1.15843170722607	0.3990360241	1.854023525	0.000000000
--10	90	1.19181706069732	0.2930431393	1.873710682	0.000000000
--15	90	1.22966725430311	0.1817386954	1.887767359	0.000000000
--20	90	1.27210485753867	0.06491451430	1.895387547	0.000000000
--25	90	1.31922820695072	-0.05752993166	1.895626797	0.000000000
--30	90	1.37108561370117	-0.1855428069	1.887394972	0.000000000
--35	90	1.42767573101313	-0.3188811581	1.869483494	0.000000000
--40	90	1.48890900736773	-0.4570522619	1.840570471	0.000000000
--45	90	1.55460736933711	-0.5992734129	1.799273413	0.000000000
+45	45	1.12131020077241	1.147388746	1.347388746	0.6473887463
+40	45	1.12720911865604	1.075185061	1.385478863	0.6854788628
+35	45	1.13539144041882	1.003787495	1.419483107	0.7194831071
+30	45	1.14556612251357	0.9329832958	1.449949067	0.7499490671
+25	45	1.15753024346044	0.8624755177	1.477331256	0.7773312562
+20	45	1.17115869720900	0.7919037740	1.501999028	0.8019990277
+15	45	1.18639305645985	0.7208551206	1.524242531	0.8242425311
+10	45	1.20323585093784	0.6488691888	1.544279124	0.8442791238
+5	45	1.22174475145422	0.5754375893	1.562255591	0.8622555908
+0	45	1.24203126631068	0.5000000000	1.578248731	0.8782487309
+-5	45	1.26426109985072	0.4219372054	1.592261825	0.8922618250
+-10	45	1.28865576988271	0.3405623146	1.604216047	0.9042160466
+-15	45	1.31549782282801	0.2551111508	1.613937627	0.9139376274
+-20	45	1.34513462114583	0.1647338458	1.621136188	0.9211361883
+-25	45	1.37798525369256	0.06848996301	1.625376261	0.9253762606
+-30	45	1.41454418274571	-0.03464744658	1.626036542	0.9260365416
+-35	45	1.45538152142169	-0.1457711280	1.622256749	0.9222567493
+-40	45	1.50113626022524	-0.2659902117	1.612871587	0.9128715866
+-45	45	1.55249035807960	-0.3963307262	1.596330726	0.8963307262
+
+45	50	1.10193546775305	1.170109440	1.370109440	0.5622885840
+40	50	1.10570215560514	1.097871071	1.412514997	0.5978710713
+35	50	1.11214200026611	1.025691828	1.450765737	0.6299672526
+30	50	1.12098371692842	0.9534174518	1.485342064	0.6589802359
+25	50	1.13203106389825	0.8808089896	1.516647514	0.6852486275
+20	50	1.14515663225835	0.8075586189	1.545010361	0.7090478819
+15	50	1.16029561007103	0.7332994349	1.570685345	0.7305917514
+10	50	1.17744271668270	0.6576109431	1.593856076	0.7500343038
+5	50	1.19664845967792	0.5800201124	1.614634070	0.7674691107
+0	50	1.21801779941583	0.5000000000	1.633055767	0.7829267498
+-5	50	1.24171034365921	0.4169665908	1.649076210	0.7963694981
+-10	50	1.26794081544938	0.3302750997	1.662557741	0.8076818458
+-15	50	1.29698199467303	0.2392171755	1.673254751	0.8166577024
+-20	50	1.32916512872952	0.1430215922	1.680790115	0.8229806235
+-25	50	1.36488077842605	0.04086165409	1.684625360	0.8261987767
+-30	50	1.40457759137526	-0.06812599747	1.684023093	0.8256934142
+-35	50	1.44875146741453	-0.1848017675	1.677998279	0.8206379954
+-40	50	1.49792911332675	-0.3099545426	1.665266236	0.8099545426
+-45	50	1.55263324316894	-0.4441879526	1.644187953	0.7922677628
+
+45	55	1.08622217282505	1.188325168	1.388325168	0.4819704713
+40	55	1.08800674231453	1.116295957	1.434472921	0.5142834757
+35	55	1.09276206552844	1.043695911	1.476478232	0.5436959111
+30	55	1.10025527957427	0.9703977033	1.514752722	0.5704959976
+25	55	1.11031346204605	0.8961942000	1.549641204	0.5949251757
+20	55	1.12282261225398	0.8208109711	1.581420899	0.6171775579
+15	55	1.13772485201571	0.7439141735	1.610300088	0.6373989837
+10	55	1.15501723778867	0.6651156082	1.636417147	0.6556863450
+5	55	1.17474991750243	0.5839748606	1.659837049	0.6720851370
+0	55	1.19702488120747	0.5000000000	1.680545379	0.6865852656
+-5	55	1.22199621466739	0.4126478238	1.698439943	0.6991151743
+-10	55	1.24986884825384	0.3213248701	1.713317016	0.7095322130
+-15	55	1.28089889262681	0.2253910784	1.724854448	0.7176108098
+-20	55	1.31539204140179	0.1241684184	1.732588784	0.7230264504
+-25	55	1.35369813220162	0.01695861854	1.735885585	0.7253348956
+-30	55	1.39620583796769	-0.09692694201	1.733907792	0.7239500298
+-35	55	1.44332446134076	-0.2181157114	1.725575522	0.7181157114
+-40	55	1.49546033454271	-0.3470959987	1.709529700	0.7068803058
+-45	55	1.55297915761783	-0.4841031293	1.684103129	0.6890764295
+
+45	60	1.07359048701734	1.202829953	1.402829953	0.4057790627
+40	60	1.07360593092957	1.131128784	1.452149995	0.4342540022
+35	60	1.07681056019508	1.058339620	1.497391615	0.4603742638
+30	60	1.08301844165701	0.9843405713	1.538902478	0.4843405713
+25	60	1.09209100261713	0.9089373876	1.576969058	0.5063183216
+20	60	1.10393865743326	0.8318733014	1.611814402	0.5264362903
+15	60	1.11852045459494	0.7528355360	1.643595066	0.5447848656
+10	60	1.13584372695468	0.6714599112	1.672397477	0.5614139451
+5	60	1.15596460738215	0.5873341180	1.698233537	0.5763304012
+0	60	1.17898569463243	0.5000000000	1.721031562	0.5894928473
+-5	60	1.20505622495376	0.4089569681	1.740626616	0.6008060568
+-10	60	1.23436957739130	0.3136672387	1.756745602	0.6101123576
+-15	60	1.26716095241036	0.2135650785	1.768989680	0.6171814796
+-20	60	1.30370395477463	0.1080719407	1.776813493	0.6216985600
+-25	60	1.34430010131408	-0.003377987971	1.779497579	0.6232482177
+-30	60	1.38926991800730	-0.1213003952	1.776123851	0.6213003952
+-35	60	1.43893193363531	-0.2461040398	1.765546997	0.6151938457
+-40	60	1.49357446248917	-0.3780110154	1.746372782	0.6041236073
+-45	60	1.55341969260404	-0.5169519039	1.716951904	0.5871374555
+
+45	65	1.06357789363198	1.214238219	1.414238219	0.3330547515
+40	65	1.06207286947457	1.142901065	1.466179653	0.3572754399
+35	65	1.06391257844689	1.070062779	1.514134021	0.3796369290
+30	65	1.06895848104482	0.9955935564	1.558393220	0.4002753320
+25	65	1.07711038628425	0.9192992768	1.599190201	0.4192992768
+20	65	1.08830880544777	0.8409293980	1.636695823	0.4367884355
+15	65	1.10253569687507	0.7601826264	1.671014781	0.4527916286
+10	65	1.11981507577133	0.6767115304	1.702180889	0.4673246236
+5	65	1.14021327473275	0.5901265236	1.730150879	0.4803672438
+0	65	1.16383649809245	0.5000000000	1.754794081	0.4918585578
+-5	65	1.19083039386712	0.4058725188	1.775882033	0.5016920315
+-10	65	1.22137615699236	0.3072617037	1.793073196	0.5097084020
+-15	65	1.25568595500527	0.2036761071	1.805895824	0.5156876917
+-20	65	1.29399805435566	0.09463529515	1.813730373	0.5193410022
+-25	65	1.33656277022115	-0.02029932127	1.815785495	0.5202993213
+-30	65	1.38363073553787	-0.1414827977	1.811080798	0.5181054848
+-35	65	1.43543261833582	-0.2691296484	1.798430974	0.5122067752
+-40	65	1.49214876076909	-0.4032374843	1.776436517	0.5019505914
+-45	65	1.55387751084162	-0.5434954631	1.743495463	0.4865899257
+
+45	70	1.05582415709952	1.223018964	1.423018964	0.2631573815
+40	70	1.05306662137386	1.152028409	1.477057199	0.2828256909
+35	70	1.05376014124481	1.079216257	1.527206543	0.3010785591
+30	70	1.05780968763857	1.004438724	1.573713499	0.3180057071
+25	70	1.06515267140164	0.9274948126	1.616765584	0.3336753844
+20	70	1.07576067342549	0.8481329112	1.656487312	0.3481329112
+15	70	1.08964100485420	0.7660564293	1.692936112	0.3613991892
+10	70	1.10683676094499	0.6809284744	1.726096368	0.3734685353
+5	70	1.12742679505917	0.5923768641	1.755872388	0.3843061203
+0	70	1.15152269745535	0.5000000000	1.782077381	0.3938439580
+-5	70	1.17926771690897	0.4033754972	1.804423121	0.4019771422
+-10	70	1.21083135718625	0.3020721050	1.822504873	0.4085583615
+-15	70	1.24640301480829	0.1956671655	1.835785601	0.4133921511
+-20	70	1.28618603880155	0.08377016277	1.843582079	0.4162298372
+-25	70	1.33038120107419	-0.03394323421	1.845044961	0.4167622827
+-30	70	1.37917368633127	-0.1576878835	1.839148830	0.4146162665
+-35	70	1.43271466588594	-0.2875147232	1.824687582	0.4093528028
+-40	70	1.49109186872316	-0.4232409799	1.800275755	0.4004676241
+-45	70	1.55430202044896	-0.5643721573	1.764372157	0.3873997834
+
+45	75	1.05005436902336	1.229521693	1.429521693	0.1954747485
+40	75	1.04632088650683	1.158826425	1.485158759	0.2103826555
+35	75	1.04610826405117	1.086071705	1.536997138	0.2242727072
+30	75	1.04935770643329	1.011098563	1.585248679	0.2372016686
+25	75	1.05603910860295	0.9336963140	1.630064747	0.2492100978
+20	75	1.06615217369128	0.8536086926	1.671531898	0.2603211876
+15	75	1.07972826619545	0.7705397453	1.709668075	0.2705397453
+10	75	1.09682889661961	0.6841585786	1.744415199	0.2798502090
+5	75	1.11754570601359	0.5941056292	1.775632264	0.2882147964
+0	75	1.14199633069755	0.5000000000	1.803083749	0.2955703998
+-5	75	1.17032260861631	0.4014501645	1.826429774	0.3018259482
+-10	75	1.20268412047978	0.2980682322	1.845211964	0.3068586208
+-15	75	1.23924987699951	0.1894900721	1.858838827	0.3105099279
+-20	75	1.28019145125806	0.07540130150	1.866575336	0.3125829193
+-25	75	1.32566633785893	-0.04442737931	1.867528283	0.3128382605
+-30	75	1.37580389606258	-0.1700969459	1.860641956	0.3109930749
+-35	75	1.43068827877593	-0.3015288172	1.844701783	0.3067219182
+-40	75	1.49033377125842	-0.4384035850	1.818345844	0.2996598657
+-45	75	1.55465895792698	-0.5800940106	1.780094011	0.2894103179
+
+45	80	1.04606833680273	1.233998790	1.433998790	0.1294237905
+40	80	1.04163799562289	1.163526317	1.490759872	0.1394323006
+35	80	1.04077138382904	1.090830649	1.543793614	0.1487835803
+30	80	1.04343671312809	1.015739892	1.593287697	0.1575107225
+25	80	1.04962891602904	0.9380343226	1.639367636	0.1656358591
+20	80	1.05936979578237	0.8574522458	1.682091974	0.1731693125
+15	80	1.07271017593306	0.7736964424	1.721449029	0.1801090232
+10	80	1.08972681298711	0.6864390390	1.757348333	0.1864390390
+5	80	1.11052222060000	0.5953288741	1.789614017	0.1921283497
+0	80	1.13521941716840	0.5000000000	1.817972883	0.1971287830
+-5	80	1.16395965765827	0.4000839771	1.842045368	0.2013734115
+-10	80	1.19689495360830	0.2952257921	1.861332243	0.2047742079
+-15	80	1.23417757263870	0.1851059881	1.875200452	0.2072195473
+-20	80	1.27595437613956	0.06946784857	1.882877364	0.2085731942
+-25	80	1.32234924893889	-0.05184679899	1.883439279	0.2086722750
+-30	80	1.37344889716654	-0.1788551501	1.875811611	0.2073273112
+-35	80	1.42928730300831	-0.3113854382	1.858778496	0.2043239136
+-40	80	1.48982512101892	-0.4490227691	1.831001295	0.1994260434
+-45	80	1.55492644983005	-0.5910512179	1.791051218	0.1923817670
+
+45	85	1.04372938959551	1.236619904	1.436619904	0.06444589092
+40	85	1.03888151462175	1.166285462	1.494048093	0.06947020646
+35	85	1.03762037464741	1.093632075	1.547794465	0.07417240471
+30	85	1.03993073092664	1.018479278	1.598032453	0.07856765909
+25	85	1.04582306531089	0.9406010301	1.644871958	0.08266558482
+20	85	1.05533333261353	0.8597316123	1.688354482	0.08646981270
+15	85	1.06852496559227	0.7755723580	1.728450041	0.08997771962
+10	85	1.08548473563766	0.6877966843	1.765047922	0.09317961925
+5	85	1.10632238947821	0.5960582048	1.797950305	0.09605820479
+0	85	1.13116469316798	0.5000000000	1.826860270	0.09858749900
+-5	85	1.16015292981856	0.3992678727	1.851373483	0.1007321273
+-10	85	1.19343378682898	0.2935273516	1.870964577	0.1024461259
+-15	85	1.23114914368529	0.1824869015	1.884975016	0.1036718804
+-20	85	1.27343007323879	0.06592572301	1.892609274	0.1043397915
+-25	85	1.32037919042091	-0.05627041579	1.892925756	0.1043674801
+-30	85	1.37205651592467	-0.1840675547	1.884839761	0.1036600471
+-35	85	1.42846509016990	-0.3172379002	1.867136678	0.1021112281
+-40	85	1.48953293110602	-0.4553102290	1.838494397	0.09960535326
+-45	85	1.55509178451115	-0.5975177784	1.797517778	0.09602036363
+
+45	90	1.04295816984650	1.237482794	1.437482794	0.000000000
+40	90	1.03797119295962	1.167195022	1.495132064	0.000000000
+35	90	1.03657816075718	1.094556807	1.549115119	0.000000000
+30	90	1.03876940607327	1.019384703	1.599600694	0.000000000
+25	90	1.04456069782781	0.9414504264	1.646693494	0.000000000
+20	90	1.05399286324742	0.8604867902	1.690429316	0.000000000
+15	90	1.06713366896641	0.7761945172	1.730771971	0.000000000
+10	90	1.08407337452005	0.6882473659	1.767603864	0.000000000
+5	90	1.10492425379142	0.5963004940	1.800719683	0.000000000
+0	90	1.12981442342723	0.5000000000	1.829814423	0.000000000
+-5	90	1.15888524109514	0.3989964961	1.854475333	0.000000000
+-10	90	1.19228148784681	0.2929624924	1.874168053	0.000000000
+-15	90	1.23014151151585	0.1816159486	1.888225456	0.000000000
+-20	90	1.27259096533945	0.06474825564	1.895844339	0.000000000
+-25	90	1.31972518903248	-0.05773996536	1.896077216	0.000000000
+-30	90	1.37159512976504	-0.1857975649	1.887836226	0.000000000
+-35	90	1.42819339201995	-0.3191780762	1.869907537	0.000000000
+-40	90	1.48943700314701	-0.4573916510	1.840974940	0.000000000
+-45	90	1.55514701697592	-0.5996550014	1.799655001	0.000000000
+
+45	95	1.04372938959551	1.236619904	1.436619904	-0.06444589092
+40	95	1.03888151462175	1.166285462	1.494048093	-0.06947020646
+35	95	1.03762037464741	1.093632075	1.547794465	-0.07417240471
+30	95	1.03993073092664	1.018479278	1.598032453	-0.07856765909
+25	95	1.04582306531089	0.9406010301	1.644871958	-0.08266558482
+20	95	1.05533333261353	0.8597316123	1.688354482	-0.08646981270
+15	95	1.06852496559227	0.7755723580	1.728450041	-0.08997771962
+10	95	1.08548473563766	0.6877966843	1.765047922	-0.09317961925
+5	95	1.10632238947821	0.5960582048	1.797950305	-0.09605820479
+0	95	1.13116469316798	0.5000000000	1.826860270	-0.09858749900
+-5	95	1.16015292981856	0.3992678727	1.851373483	-0.1007321273
+-10	95	1.19343378682898	0.2935273516	1.870964577	-0.1024461259
+-15	95	1.23114914368529	0.1824869015	1.884975016	-0.1036718804
+-20	95	1.27343007323879	0.06592572301	1.892609274	-0.1043397915
+-25	95	1.32037919042091	-0.05627041579	1.892925756	-0.1043674801
+-30	95	1.37205651592467	-0.1840675547	1.884839761	-0.1036600471
+-35	95	1.42846509016990	-0.3172379002	1.867136678	-0.1021112281
+-40	95	1.48953293110602	-0.4553102290	1.838494397	-0.09960535326
+-45	95	1.55509178451115	-0.5975177784	1.797517778	-0.09602036363
+
+45	100	1.04606833680273	1.233998790	1.433998790	-0.1294237905
+40	100	1.04163799562289	1.163526317	1.490759872	-0.1394323006
+35	100	1.04077138382904	1.090830649	1.543793614	-0.1487835803
+30	100	1.04343671312809	1.015739892	1.593287697	-0.1575107225
+25	100	1.04962891602904	0.9380343226	1.639367636	-0.1656358591
+20	100	1.05936979578237	0.8574522458	1.682091974	-0.1731693125
+15	100	1.07271017593306	0.7736964424	1.721449029	-0.1801090232
+10	100	1.08972681298711	0.6864390390	1.757348333	-0.1864390390
+5	100	1.11052222060000	0.5953288741	1.789614017	-0.1921283497
+0	100	1.13521941716840	0.5000000000	1.817972883	-0.1971287830
+-5	100	1.16395965765827	0.4000839771	1.842045368	-0.2013734115
+-10	100	1.19689495360830	0.2952257921	1.861332243	-0.2047742079
+-15	100	1.23417757263870	0.1851059881	1.875200452	-0.2072195473
+-20	100	1.27595437613956	0.06946784857	1.882877364	-0.2085731942
+-25	100	1.32234924893889	-0.05184679899	1.883439279	-0.2086722750
+-30	100	1.37344889716654	-0.1788551501	1.875811611	-0.2073273112
+-35	100	1.42928730300831	-0.3113854382	1.858778496	-0.2043239136
+-40	100	1.48982512101892	-0.4490227691	1.831001295	-0.1994260434
+-45	100	1.55492644983005	-0.5910512179	1.791051218	-0.1923817670
+
+45	105	1.05005436902336	1.229521693	1.429521693	-0.1954747485
+40	105	1.04632088650683	1.158826425	1.485158759	-0.2103826555
+35	105	1.04610826405117	1.086071705	1.536997138	-0.2242727072
+30	105	1.04935770643329	1.011098563	1.585248679	-0.2372016686
+25	105	1.05603910860295	0.9336963140	1.630064747	-0.2492100978
+20	105	1.06615217369128	0.8536086926	1.671531898	-0.2603211876
+15	105	1.07972826619545	0.7705397453	1.709668075	-0.2705397453
+10	105	1.09682889661961	0.6841585786	1.744415199	-0.2798502090
+5	105	1.11754570601359	0.5941056292	1.775632264	-0.2882147964
+0	105	1.14199633069755	0.5000000000	1.803083749	-0.2955703998
+-5	105	1.17032260861631	0.4014501645	1.826429774	-0.3018259482
+-10	105	1.20268412047978	0.2980682322	1.845211964	-0.3068586208
+-15	105	1.23924987699951	0.1894900721	1.858838827	-0.3105099279
+-20	105	1.28019145125806	0.07540130150	1.866575336	-0.3125829193
+-25	105	1.32566633785893	-0.04442737931	1.867528283	-0.3128382605
+-30	105	1.37580389606258	-0.1700969459	1.860641956	-0.3109930749
+-35	105	1.43068827877593	-0.3015288172	1.844701783	-0.3067219182
+-40	105	1.49033377125842	-0.4384035850	1.818345844	-0.2996598657
+-45	105	1.55465895792698	-0.5800940106	1.780094011	-0.2894103179
+
+45	110	1.05582415709952	1.223018964	1.423018964	-0.2631573815
+40	110	1.05306662137386	1.152028409	1.477057199	-0.2828256909
+35	110	1.05376014124481	1.079216257	1.527206543	-0.3010785591
+30	110	1.05780968763857	1.004438724	1.573713499	-0.3180057071
+25	110	1.06515267140164	0.9274948126	1.616765584	-0.3336753844
+20	110	1.07576067342549	0.8481329112	1.656487312	-0.3481329112
+15	110	1.08964100485420	0.7660564293	1.692936112	-0.3613991892
+10	110	1.10683676094499	0.6809284744	1.726096368	-0.3734685353
+5	110	1.12742679505917	0.5923768641	1.755872388	-0.3843061203
+0	110	1.15152269745535	0.5000000000	1.782077381	-0.3938439580
+-5	110	1.17926771690897	0.4033754972	1.804423121	-0.4019771422
+-10	110	1.21083135718625	0.3020721050	1.822504873	-0.4085583615
+-15	110	1.24640301480829	0.1956671655	1.835785601	-0.4133921511
+-20	110	1.28618603880155	0.08377016277	1.843582079	-0.4162298372
+-25	110	1.33038120107419	-0.03394323421	1.845044961	-0.4167622827
+-30	110	1.37917368633127	-0.1576878835	1.839148830	-0.4146162665
+-35	110	1.43271466588594	-0.2875147232	1.824687582	-0.4093528028
+-40	110	1.49109186872316	-0.4232409799	1.800275755	-0.4004676241
+-45	110	1.55430202044896	-0.5643721573	1.764372157	-0.3873997834
+
+45	115	1.06357789363198	1.214238219	1.414238219	-0.3330547515
+40	115	1.06207286947457	1.142901065	1.466179653	-0.3572754399
+35	115	1.06391257844689	1.070062779	1.514134021	-0.3796369290
+30	115	1.06895848104482	0.9955935564	1.558393220	-0.4002753320
+25	115	1.07711038628425	0.9192992768	1.599190201	-0.4192992768
+20	115	1.08830880544777	0.8409293980	1.636695823	-0.4367884355
+15	115	1.10253569687507	0.7601826264	1.671014781	-0.4527916286
+10	115	1.11981507577133	0.6767115304	1.702180889	-0.4673246236
+5	115	1.14021327473275	0.5901265236	1.730150879	-0.4803672438
+0	115	1.16383649809245	0.5000000000	1.754794081	-0.4918585578
+-5	115	1.19083039386712	0.4058725188	1.775882033	-0.5016920315
+-10	115	1.22137615699236	0.3072617037	1.793073196	-0.5097084020
+-15	115	1.25568595500527	0.2036761071	1.805895824	-0.5156876917
+-20	115	1.29399805435566	0.09463529515	1.813730373	-0.5193410022
+-25	115	1.33656277022115	-0.02029932127	1.815785495	-0.5202993213
+-30	115	1.38363073553787	-0.1414827977	1.811080798	-0.5181054848
+-35	115	1.43543261833582	-0.2691296484	1.798430974	-0.5122067752
+-40	115	1.49214876076909	-0.4032374843	1.776436517	-0.5019505914
+-45	115	1.55387751084162	-0.5434954631	1.743495463	-0.4865899257
+
+45	120	1.07359048701733	1.202829953	1.402829953	-0.4057790627
+40	120	1.07360593092957	1.131128784	1.452149995	-0.4342540022
+35	120	1.07681056019508	1.058339620	1.497391615	-0.4603742638
+30	120	1.08301844165701	0.9843405713	1.538902478	-0.4843405713
+25	120	1.09209100261713	0.9089373876	1.576969058	-0.5063183216
+20	120	1.10393865743326	0.8318733014	1.611814402	-0.5264362903
+15	120	1.11852045459494	0.7528355360	1.643595066	-0.5447848656
+10	120	1.13584372695468	0.6714599112	1.672397477	-0.5614139451
+5	120	1.15596460738215	0.5873341180	1.698233537	-0.5763304012
+0	120	1.17898569463243	0.5000000000	1.721031562	-0.5894928473
+-5	120	1.20505622495376	0.4089569681	1.740626616	-0.6008060568
+-10	120	1.23436957739130	0.3136672387	1.756745602	-0.6101123576
+-15	120	1.26716095241036	0.2135650785	1.768989680	-0.6171814796
+-20	120	1.30370395477463	0.1080719407	1.776813493	-0.6216985600
+-25	120	1.34430010131408	-0.003377987971	1.779497579	-0.6232482177
+-30	120	1.38926991800730	-0.1213003952	1.776123851	-0.6213003952
+-35	120	1.43893193363531	-0.2461040398	1.765546997	-0.6151938457
+-40	120	1.49357446248917	-0.3780110154	1.746372782	-0.6041236073
+-45	120	1.55341969260404	-0.5169519039	1.716951904	-0.5871374555
+
+45	125	1.08622217282505	1.188325168	1.388325168	-0.4819704713
+40	125	1.08800674231453	1.116295957	1.434472921	-0.5142834757
+35	125	1.09276206552844	1.043695911	1.476478232	-0.5436959111
+30	125	1.10025527957427	0.9703977033	1.514752722	-0.5704959976
+25	125	1.11031346204605	0.8961942000	1.549641204	-0.5949251757
+20	125	1.12282261225398	0.8208109711	1.581420899	-0.6171775579
+15	125	1.13772485201571	0.7439141735	1.610300088	-0.6373989837
+10	125	1.15501723778867	0.6651156082	1.636417147	-0.6556863450
+5	125	1.17474991750243	0.5839748606	1.659837049	-0.6720851370
+0	125	1.19702488120747	0.5000000000	1.680545379	-0.6865852656
+-5	125	1.22199621466739	0.4126478238	1.698439943	-0.6991151743
+-10	125	1.24986884825384	0.3213248701	1.713317016	-0.7095322130
+-15	125	1.28089889262681	0.2253910784	1.724854448	-0.7176108098
+-20	125	1.31539204140179	0.1241684184	1.732588784	-0.7230264504
+-25	125	1.35369813220162	0.01695861854	1.735885585	-0.7253348956
+-30	125	1.39620583796769	-0.09692694201	1.733907792	-0.7239500298
+-35	125	1.44332446134076	-0.2181157114	1.725575522	-0.7181157114
+-40	125	1.49546033454271	-0.3470959987	1.709529700	-0.7068803058
+-45	125	1.55297915761783	-0.4841031293	1.684103129	-0.6890764295
+
+45	130	1.10193546775305	1.170109440	1.370109440	-0.5622885840
+40	130	1.10570215560514	1.097871071	1.412514997	-0.5978710713
+35	130	1.11214200026611	1.025691828	1.450765737	-0.6299672526
+30	130	1.12098371692842	0.9534174518	1.485342064	-0.6589802359
+25	130	1.13203106389825	0.8808089896	1.516647514	-0.6852486275
+20	130	1.14515663225835	0.8075586189	1.545010361	-0.7090478819
+15	130	1.16029561007103	0.7332994349	1.570685345	-0.7305917514
+10	130	1.17744271668270	0.6576109431	1.593856076	-0.7500343038
+5	130	1.19664845967792	0.5800201124	1.614634070	-0.7674691107
+0	130	1.21801779941583	0.5000000000	1.633055767	-0.7829267498
+-5	130	1.24171034365921	0.4169665908	1.649076210	-0.7963694981
+-10	130	1.26794081544938	0.3302750997	1.662557741	-0.8076818458
+-15	130	1.29698199467303	0.2392171755	1.673254751	-0.8166577024
+-20	130	1.32916512872952	0.1430215922	1.680790115	-0.8229806235
+-25	130	1.36488077842605	0.04086165409	1.684625360	-0.8261987767
+-30	130	1.40457759137526	-0.06812599747	1.684023093	-0.8256934142
+-35	130	1.44875146741453	-0.1848017675	1.677998279	-0.8206379954
+-40	130	1.49792911332675	-0.3099545426	1.665266236	-0.8099545426
+-45	130	1.55263324316894	-0.4441879526	1.644187953	-0.7922677628
+
+45	135	1.12131020077241	1.147388746	1.347388746	-0.6473887463
+40	135	1.12720911865604	1.075185061	1.385478863	-0.6854788628
+35	135	1.13539144041882	1.003787495	1.419483107	-0.7194831071
+30	135	1.14556612251357	0.9329832958	1.449949067	-0.7499490671
+25	135	1.15753024346044	0.8624755177	1.477331256	-0.7773312562
+20	135	1.17115869720900	0.7919037740	1.501999028	-0.8019990277
+15	135	1.18639305645985	0.7208551206	1.524242531	-0.8242425311
+10	135	1.20323585093784	0.6488691888	1.544279124	-0.8442791238
+5	135	1.22174475145422	0.5754375893	1.562255591	-0.8622555908
+0	135	1.24203126631067	0.5000000000	1.578248731	-0.8782487309
+-5	135	1.26426109985072	0.4219372054	1.592261825	-0.8922618250
+-10	135	1.28865576988271	0.3405623146	1.604216047	-0.9042160466
+-15	135	1.31549782282800	0.2551111508	1.613937627	-0.9139376274
+-20	135	1.34513462114583	0.1647338458	1.621136188	-0.9211361883
+-25	135	1.37798525369256	0.06848996301	1.625376261	-0.9253762606
+-30	135	1.41454418274571	-0.03464744658	1.626036542	-0.9260365416
+-35	135	1.45538152142169	-0.1457711280	1.622256749	-0.9222567493
+-40	135	1.50113626022524	-0.2659902117	1.612871587	-0.9128715866
+-45	135	1.55249035807960	-0.3963307262	1.596330726	-0.8963307262
 
 
 ### -x patch
-# N_rho = 10
+# N_rho = 19
 # 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	1.55460735731857	-0.5992734044	1.799273404	1.346221656e-16
--90	40	1.62449299113358	-0.7444338287	1.744203967	1.523991905e-16
--90	35	1.69815645913186	-0.8910483350	1.674022530	1.703542891e-16
--90	30	1.77508257455007	-1.037266603	1.587541287	1.882608625e-16
--90	25	1.85463815531170	-1.180873002	1.483803953	2.058475742e-16
--90	20	1.93605615921525	-1.319297686	1.362170205	2.227997088e-16
--90	15	2.01850252399344	-1.449723718	1.222426896	2.387722911e-16
--90	10	2.10103969959050	-1.569120186	1.064841715	2.533941412e-16
--90	5	2.18268244626160	-1.674376681	0.8902333098	2.662843442e-16
--90	-2.84217e-14	2.26241282071802	-1.762412821	0.7000000000	2.770656619e-16
--90	-5	2.33920749670583	-1.830306106	0.4961246332	2.853801914e-16
--90	-10	2.41205912738684	-1.875414529	0.2811503281	2.909043800e-16
--90	-15	2.47999512560729	-1.895491341	0.05813002973	2.933630803e-16
--90	-20	2.54210356510085	-1.888795961	-0.1694506257	2.925431328e-16
--90	-25	2.59755455783362	-1.854183923	-0.3977739920	2.883043806e-16
--90	-30	2.64561115327404	-1.791166467	-0.6228055766	2.805869680e-16
--90	-35	2.68563262150740	-1.699941452	-0.8404155884	2.694151258e-16
--90	-40	2.71708645223774	-1.581408978	-1.046509506	2.548990843e-16
--90	-45	2.73956548935353	-1.437165335	-1.237165335	2.372343327e-16
-
--85	45	1.55455370499789	-0.5971380248	1.797138025	0.09598713949
--85	40	1.62425038383761	-0.7414629602	1.741711112	0.1086139352
--85	35	1.69765316129062	-0.8870785397	1.671242850	0.1213536476
--85	30	1.77424620854194	-1.032150774	1.584587662	0.1340458235
--85	25	1.85340013930622	-1.174495311	1.480829987	0.1464993568
--85	20	1.93436264427009	-1.311594432	1.359366450	0.1584939757
--85	15	2.01631425791642	-1.440692589	1.220007012	0.1697886009
--85	10	2.09834044904798	-1.558834234	1.063028024	0.1801246555
--85	5	2.17948326323386	-1.662990044	0.8892371081	0.1892371081
--85	-2.84217e-14	2.25875184286397	-1.750156610	0.7000000000	0.1968631945
--85	-5	2.33515213952795	-1.817480897	0.4972466936	0.2027533064
--85	-10	2.40770133288514	-1.862370668	0.2834503127	0.2066806525
--85	-15	2.47544549497640	-1.882604154	0.06158314105	0.2084508531
--85	-20	2.53748764095378	-1.876440888	-0.1649537468	0.2079116373
--85	-25	2.59300258354151	-1.842705482	-0.3924215072	0.2049601717
--85	-30	2.64124874847171	-1.780851042	-0.6168499633	0.1995486094
--85	-35	2.68157561077052	-1.690998766	-0.8341538525	0.1916875539
--85	-40	2.71343275062596	-1.573957494	-1.040256968	0.1814477693
--85	-45	2.73638635094333	-1.431225346	-1.231225346	0.1689603244
-
--80	45	1.55439066817168	-0.5906752739	1.790675274	0.1923154780
--80	40	1.62351814798812	-0.7324944056	1.734185601	0.2173220173
--80	35	1.69613890531942	-0.8751254112	1.662873179	0.2424717118
--80	30	1.77173669140161	-1.016786374	1.575717022	0.2674503618
--80	25	1.84969551161839	-1.155388942	1.471920541	0.2918897340
--80	20	1.92930371625668	-1.288566847	1.350985094	0.3153725919
--80	15	2.00978986317849	-1.413748886	1.212787468	0.3374455629
--80	10	2.09030394937278	-1.528195846	1.057625650	0.3576256498
--80	5	2.16996806586962	-1.629113292	0.8862732764	0.3754201183
--80	-2.84217e-14	2.24787054062913	-1.713720336	0.7000000000	0.3903386230
--80	-5	2.32309771970259	-1.779359918	0.5005818471	0.4019126523
--80	-10	2.39473841902388	-1.823584814	0.2902893053	0.4097106947
--80	-15	2.46189966008925	-1.844253903	0.07185905973	0.4133552128
--80	-20	2.52372395710885	-1.839625929	-0.1515541975	0.4125391761
--80	-25	2.57940294028679	-1.808442161	-0.3764442579	0.4070406363
--80	-30	2.62818746299341	-1.749995133	-0.5990352960	0.3967348485
--80	-35	2.66939775522797	-1.664184003	-0.8153779530	0.3816040309
--80	-40	2.70243360229144	-1.551553474	-1.021457763	0.3617442298
--80	-45	2.72678921593480	-1.413316669	-1.213316669	0.3373693513
-
--75	45	1.55412827255684	-0.5797253187	1.779725319	0.2893115272
--75	40	1.62230482411410	-0.7173768671	1.721500480	0.3261951484
--75	35	1.69362702693130	-0.8550805620	1.648837624	0.3630927423
--75	30	1.76758189947957	-0.9911498068	1.560915742	0.3995523865
--75	25	1.84358021976561	-1.123660484	1.457125318	0.4350585155
--75	20	1.92097463653212	-1.250489453	1.337126056	0.4690422352
--75	15	1.99907269861550	-1.369359121	1.200893267	0.5008932669
--75	10	2.07713236365316	-1.477873319	1.048752431	0.5299695585
--75	5	2.15439251260904	-1.573592232	0.8814158131	0.5556173641
--75	-2.84217e-14	2.23007061623336	-1.654082803	0.7000000000	0.5771847474
--75	-5	2.30337332742935	-1.716985536	0.5060388984	0.5940394841
--75	-10	2.37350273099926	-1.760081161	0.3014867127	0.6055869219
--75	-15	2.43966180199340	-1.781359775	0.08871149055	0.6112885094
--75	-20	2.50106160632896	-1.779094101	-0.1295224139	0.6106814239
--75	-25	2.55692855554134	-1.751913864	-0.3500846803	0.6033985013
--75	-30	2.60651058921651	-1.698878458	-0.5695230697	0.5891877071
--75	-35	2.64908938776206	-1.619551400	-0.7841258680	0.5679320860
--75	-40	2.68399607075520	-1.514069538	-0.9900050066	0.5396683063
--75	-45	2.71061731685783	-1.383192139	-1.183192139	0.5045998129
-
--70	45	1.55377785702175	-0.5640132149	1.764013215	0.3872691391
--70	40	1.62061521977820	-0.6958509541	1.703438094	0.4352541519
--70	35	1.69013128211413	-0.8267608063	1.629007918	0.4829014415
--70	30	1.76182476164401	-0.9552051243	1.540163070	0.5296513500
--70	25	1.83514858643534	-1.079492885	1.436529628	0.5748883954
--70	20	1.90953938266264	-1.197822050	1.317956689	0.6179566894
--70	15	1.98440859146338	-1.308293688	1.184530833	0.6581650771
--70	10	2.05915993371478	-1.408950446	1.036599468	0.6948011410
--70	5	2.13317430479511	-1.497788110	0.8747838118	0.7271354066
--70	-2.84217e-14	2.20583415799382	-1.572806081	0.7000000000	0.7544397149
--70	-5	2.27650121890607	-1.632018494	0.5134725514	0.7759912707
--70	-10	2.34451981915005	-1.673494191	0.3167543317	0.7910871899
--70	-15	2.40921835018271	-1.695401871	0.1117438416	0.7990609333
--70	-20	2.46990384434135	-1.696056938	-0.09929935801	0.7992993580
--70	-25	2.52586211127053	-1.673982675	-0.3137447701	0.7912649836
--70	-30	2.57635934238088	-1.627981964	-0.5285909599	0.7745220940
--70	-35	2.62064807857111	-1.557220758	-0.7404814826	0.7487671213
--70	-40	2.65798183662642	-1.461323130	-0.9457455149	0.7138632391
--70	-45	2.68762383426776	-1.340460825	-1.140460825	0.6698729576
-
--65	45	1.55336158884165	-0.5431489993	1.743148999	0.4864283670
--65	40	1.61846844248148	-0.6675635693	1.679702160	0.5444438337
--65	35	1.68568199916602	-0.7899284139	1.603217599	0.6015034979
--65	30	1.75452552713363	-0.9089161019	1.513438091	0.6569883680
--65	25	1.82452248235930	-1.023142621	1.410253069	0.7102530688
--65	20	1.89520927526944	-1.131186482	1.293703326	0.7606347482
--65	15	1.96612603766250	-1.231587874	1.163977573	0.8074526866
--65	10	2.03682762704084	-1.322863227	1.021419969	0.8500150826
--65	5	2.10686906231236	-1.403497410	0.8665344445	0.8876154197
--65	-2.84217e-14	2.17580310260711	-1.471947295	0.7000000000	0.9195341251
--65	-5	2.24317201770095	-1.526643327	0.5226916838	0.9450393039
--65	-10	2.30848544419054	-1.565983970	0.3357112844	0.9633841467
--65	-15	2.37121856219271	-1.588357120	0.1404263961	0.9738169181
--65	-20	2.43080142152721	-1.592164950	-0.06148576690	0.9755925382
--65	-25	2.48661015475786	-1.575864752	-0.2679916309	0.9679916309
--65	-30	2.53796061602022	-1.538028813	-0.4766564840	0.9503484432
--65	-35	2.58410203746214	-1.477423170	-0.6846066099	0.9220875676
--65	-40	2.62422753921885	-1.393118452	-0.8885149947	0.8827756319
--65	-45	2.65748051286739	-1.284612261	-1.084612261	0.8321783643
-
--60	45	1.55291356403524	-0.5166205650	1.716620565	0.5869461569
--60	40	1.61588867057666	-0.6320640290	1.649914509	0.6535974719
--60	35	1.68032072342173	-0.7442983991	1.571267119	0.7183960157
--60	30	1.74577716945706	-0.8522731807	1.480735285	0.7807352849
--60	25	1.81186980491418	-0.9549646062	1.378461138	0.8400242071
--60	20	1.87825145392576	-1.051369466	1.264652308	0.8956835790
--60	15	1.94461129963085	-1.140493583	1.139568931	0.9471394118
--60	10	2.01066126655866	-1.221330053	1.003516931	0.9938103694
--60	5	2.07612424200278	-1.292837628	0.8568529680	1.035095287
--60	-2.84217e-14	2.14073696959140	-1.353932598	0.7000000000	1.070368485
--60	-5	2.20421629675994	-1.403451555	0.5334695673	1.098958268
--60	-10	2.26624499586652	-1.440135658	0.3579017373	1.120137844
--60	-15	2.32646508622482	-1.462629265	0.1741150735	1.133124534
--60	-20	2.38445582045931	-1.469476422	-0.01683079485	1.137077743
--60	-25	2.43971431515881	-1.459135236	-0.2135597639	1.131107256
--60	-30	2.49164383421743	-1.430019015	-0.4142969978	1.114296998
--60	-35	2.53953604749521	-1.380558035	-0.6167809123	1.085740688
--60	-40	2.58256545678827	-1.309301290	-0.8181840451	1.044600587
--60	-45	2.61978791159246	-1.215053773	-1.015053773	0.9901867574
-
--55	45	1.55248350338648	-0.4837890395	1.683789040	0.6888565015
--55	40	1.61292316315114	-0.5888244903	1.613632228	0.7624031159
--55	35	1.67411163666968	-0.6895647592	1.532942212	0.8329422116
--55	30	1.73569431583613	-0.7853032331	1.442070168	0.8999790127
--55	25	1.79739146650964	-0.8754114505	1.341364892	0.9630734658
--55	20	1.85898688772076	-0.9593132309	1.231146579	1.021822125
--55	15	1.92031011880163	-1.036450986	1.111690801	1.075834562
--55	10	1.98123674857679	-1.106265259	0.9832279034	1.124719043
--55	5	2.04165308147636	-1.168145908	0.8459438561	1.168048340
--55	-2.84217e-14	2.10145609310903	-1.221412055	0.7000000000	1.205345697
--55	-5	2.16053161731247	-1.265276388	0.5455583281	1.236059834
--55	-10	2.21873441631017	-1.298813804	0.3828205931	1.259542985
--55	-15	2.27587311009121	-1.320938946	0.2120808800	1.275035176
--55	-20	2.33169131385323	-1.330388373	0.03379311511	1.281651737
--55	-25	2.38583953521209	-1.325707464	-0.1513413719	1.278374129
--55	-30	2.43784925736626	-1.305257702	-0.3422660203	1.264055051
--55	-35	2.48711274106182	-1.267254706	-0.5374450674	1.237445067
--55	-40	2.53285230725902	-1.209834470	-0.7347214735	1.197238985
--55	-45	2.57410061302368	-1.131174801	-0.9311748010	1.142160892
-
--50	45	1.55214908436826	-0.4438935258	1.643893526	0.7920207094
--50	40	1.60963806008522	-0.5372515346	1.570357380	0.8703573802
--50	35	1.66714794131185	-0.6254296230	1.488034306	0.9443475816
--50	30	1.72443086243899	-0.7081068364	1.397500807	1.013722001
--50	25	1.78132850803267	-0.7850508643	1.299229059	1.078285706
--50	20	1.83776346805106	-0.8560845102	1.193574397	1.137890012
--50	15	1.89370849704712	-0.9210380707	1.080766003	1.192392521
--50	10	1.94917502748686	-0.9797169468	0.9609140215	1.241629944
--50	5	2.00419488670776	-1.031865864	0.8340208971	1.285388081
--50	-2.84217e-14	2.05881120180192	-1.077140881	0.7000000000	1.323378331
--50	-5	2.11305650554794	-1.115072042	0.5586995055	1.355206355
--50	-10	2.16693675274848	-1.145030841	0.4099366786	1.380344772
--50	-15	2.22042206343247	-1.166203795	0.2535420386	1.398110990
--50	-20	2.27342142111517	-1.177556241	0.08941946214	1.407636823
--50	-25	2.32575588493522	-1.177800920	-0.08237141798	1.407842133
--50	-30	2.37713024810044	-1.165376888	-0.2615057948	1.397417133
--50	-35	2.42709615177068	-1.138442420	-0.4472497332	1.374816430
--50	-40	2.47500987057184	-1.094897543	-0.6382779398	1.338277940
--50	-45	2.51998462540613	-1.032454064	-0.8324540645	1.285881640
-
--45	45	1.55201810980621	-0.3960580735	1.596058073	0.8960580735
--45	40	1.60613565203543	-0.4767238590	1.519568630	0.9767238590
--45	35	1.65955855259750	-0.5516411356	1.436367051	1.051641136
--45	30	1.71217154043695	-0.6208793838	1.347140014	1.120879384
--45	25	1.76395859317552	-0.6845739295	1.252375895	1.184573930
--45	20	1.81496921769976	-0.7428747285	1.152369406	1.242874729
--45	15	1.86530372928859	-0.7959134064	1.047238951	1.295913406
--45	10	1.91509560986593	-0.8437724966	0.9369433471	1.343772497
--45	5	1.96449385317405	-0.8864563822	0.8212992159	1.386456382
--45	-2.84217e-14	2.01365353423442	-0.9238680690	0.7000000000	1.423868069
--45	-5	2.06272566288667	-0.9557842242	0.5726353838	1.455784224
--45	-10	2.11184368162348	-0.9818254722	0.4387141885	1.481825472
--45	-15	2.16111876137377	-1.001429891	0.2976930731	1.501429891
--45	-20	2.21061559941044	-1.013809841	0.1490182775	1.513809841
--45	-25	2.26033342442666	-1.017910940	-0.007813495810	1.517910940
--45	-30	2.31017926127042	-1.012367333	-0.1731656870	1.512367333
--45	-35	2.35991579098133	-0.9954486050	-0.3471243862	1.495448605
--45	-40	2.40911289371914	-0.9650307024	-0.5293067220	1.465030702
--45	-45	2.45707900627819	-0.9185952257	-0.7185952257	1.418595226
+-135	45	1.55248985155512	-0.3963304337	1.596330434	-0.8963304337
+-135	40	1.60660117202671	-0.4770069512	1.519806172	-0.9770069512
+-135	35	1.66001804741494	-0.5519323116	1.436570934	-1.051932312
+-135	30	1.71262426656894	-0.6211757627	1.347311128	-1.121175763
+-135	25	1.76440207898376	-0.6848717493	1.252514771	-1.184871749
+-135	20	1.81540288025987	-0.7431716968	1.152477494	-1.243171697
+-135	15	1.86572804058394	-0.7962081952	1.047317939	-1.296208195
+-135	10	1.91550861565086	-0.8440622919	0.9369944458	-1.344062292
+-135	5	1.96489585401980	-0.8867400973	0.8213240378	-1.386740097
+-135	-2.84217e-14	2.01404283238538	-0.9241433444	0.7000000000	-1.424143344
+-135	-5	2.06310173013447	-0.9560496365	0.5726121633	-1.456049637
+-135	-10	2.11221012481037	-0.9820825958	0.4386688507	-1.482082596
+-135	-15	2.16147562705895	-1.001677823	0.2976266401	-1.501677823
+-135	-20	2.21096539172801	-1.014049376	0.1489310940	-1.514049376
+-135	-25	2.26067984552449	-1.018143577	-0.007921976057	-1.518143577
+-135	-30	2.31052188245833	-1.012591632	-0.1732951857	-1.512591632
+-135	-35	2.36025681826454	-0.9956647096	-0.3472757043	-1.495664710
+-135	-40	2.40945721069677	-0.9652400886	-0.5294824179	-1.465240089
+-135	-45	2.45743073890332	-0.9187982986	-0.7187982986	-1.418798299
+
+-130	45	1.55263271383066	-0.4441876307	1.644187631	-0.7922674927
+-130	40	1.61011913882809	-0.5375615420	1.570617507	-0.8706175072
+-130	35	1.66762425642798	-0.6257511656	1.488259452	-0.9446173879
+-130	30	1.72489872085704	-0.7084346100	1.397690047	-1.013997036
+-130	25	1.78178919640391	-0.7853832050	1.299384032	-1.078564573
+-130	20	1.83821357035440	-0.8564166405	1.193695282	-1.138168703
+-130	15	1.89414741428712	-0.9213674340	1.080854256	-1.192668890
+-130	10	1.94960060798884	-0.9800400264	0.9609709892	-1.241901040
+-130	5	2.00460994485888	-1.032183105	0.8340486521	-1.285654278
+-130	-2.84217e-14	2.05921287743216	-1.077448582	0.7000000000	-1.323636523
+-130	-5	2.11344276543859	-1.115367272	0.5586736763	-1.355454082
+-130	-10	2.16731120882380	-1.145315110	0.4098865544	-1.380583302
+-130	-15	2.22078638091555	-1.166477179	0.2534687857	-1.398340386
+-130	-20	2.27377616284196	-1.177818004	0.08932418795	-1.407856469
+-130	-25	2.32610436206653	-1.178052312	-0.08248864376	-1.408053076
+-130	-30	2.37747735474026	-1.165620065	-0.2616461931	-1.397621182
+-130	-35	2.42744646891629	-1.138678906	-0.4474153226	-1.375014866
+-130	-40	2.47536611240014	-1.095127105	-0.6384705655	-1.338470565
+-130	-45	2.52034818788243	-1.032675154	-0.8326751542	-1.286067157
+
+-125	45	1.55297881565424	-0.4841029126	1.684102913	-0.6890762778
+-125	40	1.61341789907528	-0.5891584681	1.613912469	-0.7626369697
+-125	35	1.67460265032497	-0.6899136562	1.533186512	-0.8331865119
+-125	30	1.73617929482458	-0.7856623661	1.442277513	-0.9002304803
+-125	25	1.79786825814386	-0.8757763040	1.341535026	-0.9633289390
+-125	20	1.85945175701617	-0.9596781554	1.231279400	-1.022077648
+-125	15	1.92076507780850	-1.036815001	1.111788338	-1.076089449
+-125	10	1.98167656797322	-1.106621838	0.9832907778	-1.124968722
+-125	5	2.04207851223984	-1.168493509	0.8459742672	-1.168291733
+-125	-2.84217e-14	2.10186610236940	-1.221747915	0.7000000000	-1.205580869
+-125	-5	2.16092514387559	-1.265597922	0.5455301975	-1.236284974
+-125	-10	2.21911417572655	-1.299121690	0.3827663045	-1.259758569
+-125	-15	2.27624329268760	-1.321235131	0.2120015174	-1.275242568
+-125	-20	2.33205371528316	-1.330672860	0.03368957039	-1.281850936
+-125	-25	2.38619617477737	-1.325980374	-0.1514686319	-1.278565222
+-125	-30	2.43820470417600	-1.305520915	-0.3424179863	-1.264239355
+-125	-35	2.48746912328318	-1.267507939	-0.5376223828	-1.237622383
+-125	-40	2.53321215254888	-1.210077389	-0.7349253060	-1.197409078
+-125	-45	2.57447042863066	-1.131409148	-0.9314091485	-1.142324984
+
+-120	45	1.55341934689334	-0.5169516776	1.716951678	-0.5871373248
+-120	40	1.61639539168851	-0.6324190291	1.650212390	-0.6538024313
+-120	35	1.68082554359477	-0.7446722247	1.571528874	-0.7186118440
+-120	30	1.74627717753305	-0.8526604853	1.480958895	-0.7809588953
+-120	25	1.81236158048098	-0.9553595110	1.378645285	-0.8402522055
+-120	20	1.87873407702166	-1.051768096	1.264797397	-0.8959137280
+-120	15	1.94507926995316	-1.140888368	1.139674713	-0.9473673407
+-120	10	2.01111196764614	-1.221715899	1.003584966	-0.9940331376
+-120	5	2.07656222267941	-1.293215847	0.8568860578	-1.035313652
+-120	-2.84217e-14	2.14115740120283	-1.354296703	0.7000000000	-1.070578701
+-120	-5	2.20461598225818	-1.403796704	0.5334393708	-1.099157539
+-120	-10	2.26662661491209	-1.440462362	0.3578441305	-1.120326467
+-120	-15	2.32683322807737	-1.462939833	0.1740318570	-1.133303841
+-120	-20	2.38481562785171	-1.469773611	-0.01693896251	-1.137249324
+-120	-25	2.44007228457374	-1.459422692	-0.2136938068	-1.131273219
+-120	-30	2.49200401164316	-1.430298007	-0.4144580740	-1.114458074
+-120	-35	2.53990029099052	-1.380827762	-0.6169697771	-1.085896415
+-120	-40	2.58293535843143	-1.309560437	-0.8184014951	-1.044750205
+-120	-45	2.62016568696462	-1.215301085	-1.015301085	-0.9903295431
+
+-115	45	1.55387728678884	-0.5434953126	1.743495313	-0.4865898555
+-115	40	1.61898499877071	-0.6679362131	1.680014846	-0.5446176004
+-115	35	1.68619916588752	-0.7903241635	1.603494706	-0.6016880390
+-115	30	1.75503942975804	-0.9093287751	1.513676348	-0.6571808007
+-115	25	1.82502908105057	-1.023565539	1.410450278	-0.7104502784
+-115	20	1.89570438198531	-1.131612615	1.293858426	-0.7608334574
+-115	15	1.96660690834439	-1.232011382	1.164091051	-0.8076501716
+-115	10	2.03729206155969	-1.323278874	1.021493259	-0.8502089018
+-115	5	2.10731928043507	-1.403904170	0.8665700313	-0.8878050948
+-115	-2.84217e-14	2.17623437711404	-1.472338162	0.7000000000	-0.9197163896
+-115	-5	2.24357873208011	-1.527010782	0.5226595357	-0.9452106510
+-115	-10	2.30886810468191	-1.566326433	0.3356508990	-0.9635438398
+-115	-15	2.37158286585732	-1.588677966	0.1403404257	-0.9739665311
+-115	-20	2.43115601991438	-1.592470149	-0.06159685027	-0.9757348549
+-115	-25	2.48696368568968	-1.576159885	-0.2681292540	-0.9681292540
+-115	-30	2.53831796830821	-1.538315774	-0.4768221606	-0.9504822550
+-115	-35	2.58446715724399	-1.477702569	-0.6848022474	-0.9222178536
+-115	-40	2.62460157116429	-1.393388279	-0.8887414063	-0.8829014542
+-115	-45	2.65786606740999	-1.284871178	-1.084871178	-0.8322990990
+
+-110	45	1.55430191098966	-0.5643720824	1.764372082	-0.3873997562
+-110	40	1.62114189173094	-0.6962395850	1.703764195	-0.4353956020
+-110	35	1.69065888364887	-0.8271749759	1.629297923	-0.4830521869
+-110	30	1.76234833017614	-0.9556375734	1.540412745	-0.5298087486
+-110	25	1.83566718688479	-1.079939239	1.436737767	-0.5750508549
+-110	20	1.91004763633389	-1.198273952	1.318121168	-0.6181211682
+-110	15	1.98490172572501	-1.308743057	1.184651241	-0.6583286340
+-110	10	2.05963560674211	-1.409391420	1.036677224	-0.6949616425
+-110	5	2.13363512844158	-1.498219687	0.8748215698	-0.7272924876
+-110	-2.84217e-14	2.20627348891555	-1.573218917	0.7000000000	-0.7545899749
+-110	-5	2.27691465232864	-1.632405688	0.5134386763	-0.7761321978
+-110	-10	2.34490997485355	-1.673855886	0.3166905551	-0.7912188361
+-110	-15	2.40959060014415	-1.695741084	0.1116529497	-0.7991843968
+-110	-20	2.47026621389238	-1.696379130	-0.09941662644	-0.7994166264
+-110	-25	2.52622300948313	-1.674293296	-0.3138896152	-0.7913780405
+-110	-30	2.57672358976769	-1.628282820	-0.5287646589	-0.7746315965
+-110	-35	2.62101891185997	-1.557511864	-0.7406853171	-0.7488730752
+-110	-40	2.65836126788197	-1.461603112	-0.9459804478	-0.7139651442
+-110	-45	2.68801502313537	-1.340728707	-1.140728707	-0.6699704589
+
+-105	45	1.55465888717434	-0.5800939614	1.780093961	-0.2894103047
+-105	40	1.62283770421574	-0.7177767401	1.721836013	-0.3263022941
+-105	35	1.69416256265193	-0.8555090471	1.649137653	-0.3632075545
+-105	30	1.76811609520389	-0.9916004597	1.561175927	-0.3996731386
+-105	25	1.84410894444928	-1.124126138	1.457342456	-0.4351832869
+-105	20	1.92149418732347	-1.250962894	1.337298375	-0.4691690934
+-105	15	1.99957292627123	-1.369826891	1.201018605	-0.5010186054
+-105	10	2.07761684988996	-1.478334653	1.048833776	-0.5300931727
+-105	5	2.15486187077436	-1.574043987	0.8814553365	-0.5557384114
+-105	-2.84217e-14	2.23052049587977	-1.654517353	0.7000000000	-0.5773011848
+-105	-5	2.30380284711905	-1.717398947	0.5060027296	-0.5941502571
+-105	-10	2.37391379125872	-1.760472578	0.3014176953	-0.6056918018
+-105	-15	2.44005848089082	-1.781730715	0.08861209757	-0.6113879024
+-105	-20	2.50144961645213	-1.779447676	-0.1296511045	-0.6107761639
+-105	-25	2.55731238623811	-1.752251908	-0.3502423127	-0.6034890798
+-105	-30	2.60689384551856	-1.699201777	-0.5697097379	-0.5892743401
+-105	-35	2.64947500194979	-1.619859932	-0.7843419045	-0.5680147569
+-105	-40	2.68438562881744	-1.514361862	-0.9902502958	-0.5397466343
+-105	-45	2.71101470972689	-1.383468227	-1.183468227	-0.5046737903
+
+-100	45	1.55492641933183	-0.5910511965	1.791051196	-0.1923817633
+-100	40	1.62405769546102	-0.7329040033	1.734529294	-0.2173942404
+-100	35	1.69668217620011	-0.8755658619	1.663181586	-0.2425493752
+-100	30	1.77227829180758	-1.017250039	1.575984719	-0.2675321184
+-100	25	1.85022771250407	-1.155865236	1.472142640	-0.2919737175
+-100	20	1.92982713234046	-1.289052081	1.351161705	-0.3154581518
+-100	15	2.01029638816744	-1.414231206	1.212916706	-0.3375306089
+-100	10	2.09079764118317	-1.528674869	1.057710115	-0.3577101145
+-100	5	2.17044803932399	-1.629584228	0.8863144780	-0.3755031572
+-100	-2.84217e-14	2.24833602147366	-1.714178745	0.7000000000	-0.3904194529
+-100	-5	2.32354724800577	-1.779800983	0.5005432589	-0.4019904239
+-100	-10	2.39517135576125	-1.824004887	0.2902152351	-0.4097847649
+-100	-15	2.46231945727154	-1.844653640	0.07175195066	-0.4134256971
+-100	-20	2.52413674921696	-1.840008609	-0.1516934817	-0.4126066529
+-100	-25	2.57981258565433	-1.808808774	-0.3766152123	-0.4071052801
+-100	-30	2.62859452004047	-1.750343616	-0.5992364922	-0.3967962953
+-100	-35	2.66980185602838	-1.664511623	-0.8156073551	-0.3816617992
+-100	-40	2.70283777810325	-1.551860304	-1.021715224	-0.3617983323
+-100	-45	2.72719616615270	-1.413602215	-1.213602215	-0.3374197008
+
+-95	45	1.55509177083770	-0.5975177688	1.797517769	-0.09602036279
+-95	40	1.62479220874858	-0.7418770931	1.742058611	-0.1086501671
+-95	35	1.69819918066071	-0.8875246684	1.671555232	-0.1213926788
+-95	30	1.77479110579972	-1.032621320	1.584859332	-0.1340869910
+-95	25	1.85393404341927	-1.174977678	1.481054919	-0.1465415585
+-95	20	1.93489050748182	-1.312088793	1.359546382	-0.1585372267
+-95	15	2.01682928894135	-1.441188304	1.220139838	-0.1698319704
+-95	10	2.09884481515051	-1.559329104	1.063115283	-0.1801679511
+-95	5	2.17997518258086	-1.663478240	0.8892798198	-0.1892798198
+-95	-2.84217e-14	2.25923051352665	-1.750633459	0.7000000000	-0.1969049134
+-95	-5	2.33561525571555	-1.817940509	0.4972064828	-0.2027935172
+-95	-10	2.40814634080330	-1.862807298	0.2833733232	-0.2067188527
+-95	-15	2.47587758440382	-1.883020038	0.06147170528	-0.2084872383
+-95	-20	2.53791443564840	-1.876840595	-0.1650992284	-0.2079466071
+-95	-25	2.59342795568620	-1.843089794	-0.3926007148	-0.2049937946
+-95	-30	2.64167164085630	-1.781216231	-0.6170608052	-0.1995805593
+-95	-35	2.68199413013663	-1.691340720	-0.8343932913	-0.1917174710
+-95	-40	2.71385090024003	-1.574277098	-1.040525148	-0.1814757311
+-95	-45	2.73680465150093	-1.431520564	-1.231520564	-0.1689861527
+
+-90	45	1.55514700775173	-0.5996549949	1.799654995	-3.536760208e-16
+-90	40	1.62503670059286	-0.7448503344	1.744553456	-4.003744036e-16
+-90	35	1.69870495254949	-0.8914976345	1.674337133	-4.475397726e-16
+-90	30	1.77563066591085	-1.037741264	1.587815333	-4.945753113e-16
+-90	25	1.85517499821632	-1.181359547	1.484030833	-5.407664740e-16
+-90	20	1.93658889455123	-1.319798294	1.362352411	-5.852917708e-16
+-90	15	2.01902334604479	-1.450226794	1.222561694	-6.272407758e-16
+-90	10	2.10155027188740	-1.569623001	1.064930375	-6.656415249e-16
+-90	5	2.18318011614697	-1.674872457	0.8902766846	-6.994923316e-16
+-90	-2.84217e-14	2.26289614658511	-1.762896147	0.7000000000	-7.278029094e-16
+-90	-5	2.33967451462164	-1.830771347	0.4960839299	-7.496332388e-16
+-90	-10	2.41250753707920	-1.875856127	0.2810724626	-7.641336099e-16
+-90	-15	2.48042983257042	-1.895911236	0.05801751929	-7.705838249e-16
+-90	-20	2.54253366568919	-1.889200124	-0.1695977287	-7.684253667e-16
+-90	-25	2.59798455857045	-1.854573636	-0.3979557182	-7.572886389e-16
+-90	-30	2.64603895853403	-1.791536957	-0.6230194793	-7.370144968e-16
+-90	-35	2.68605655843257	-1.700288721	-0.8406587486	-7.076668256e-16
+-90	-40	2.71751150379782	-1.581734587	-1.046782724	-6.695369079e-16
+-90	-45	2.73999033164300	-1.437465744	-1.237465744	-6.231365091e-16
+
+-85	45	1.55509177083770	-0.5975177688	1.797517769	0.09602036279
+-85	40	1.62479220874858	-0.7418770931	1.742058611	0.1086501671
+-85	35	1.69819918066071	-0.8875246684	1.671555232	0.1213926788
+-85	30	1.77479110579972	-1.032621320	1.584859332	0.1340869910
+-85	25	1.85393404341927	-1.174977678	1.481054919	0.1465415585
+-85	20	1.93489050748182	-1.312088793	1.359546382	0.1585372267
+-85	15	2.01682928894135	-1.441188304	1.220139838	0.1698319704
+-85	10	2.09884481515051	-1.559329104	1.063115283	0.1801679511
+-85	5	2.17997518258086	-1.663478240	0.8892798198	0.1892798198
+-85	-2.84217e-14	2.25923051352665	-1.750633459	0.7000000000	0.1969049134
+-85	-5	2.33561525571555	-1.817940509	0.4972064828	0.2027935172
+-85	-10	2.40814634080330	-1.862807298	0.2833733232	0.2067188527
+-85	-15	2.47587758440382	-1.883020038	0.06147170528	0.2084872383
+-85	-20	2.53791443564840	-1.876840595	-0.1650992284	0.2079466071
+-85	-25	2.59342795568620	-1.843089794	-0.3926007148	0.2049937946
+-85	-30	2.64167164085630	-1.781216231	-0.6170608052	0.1995805593
+-85	-35	2.68199413013663	-1.691340720	-0.8343932913	0.1917174710
+-85	-40	2.71385090024003	-1.574277098	-1.040525148	0.1814757311
+-85	-45	2.73680465150093	-1.431520564	-1.231520564	0.1689861527
+
+-80	45	1.55492641933183	-0.5910511965	1.791051196	0.1923817633
+-80	40	1.62405769546102	-0.7329040033	1.734529294	0.2173942404
+-80	35	1.69668217620011	-0.8755658619	1.663181586	0.2425493752
+-80	30	1.77227829180758	-1.017250039	1.575984719	0.2675321184
+-80	25	1.85022771250407	-1.155865236	1.472142640	0.2919737175
+-80	20	1.92982713234046	-1.289052081	1.351161705	0.3154581518
+-80	15	2.01029638816744	-1.414231206	1.212916706	0.3375306089
+-80	10	2.09079764118317	-1.528674869	1.057710115	0.3577101145
+-80	5	2.17044803932399	-1.629584228	0.8863144780	0.3755031572
+-80	-2.84217e-14	2.24833602147366	-1.714178745	0.7000000000	0.3904194529
+-80	-5	2.32354724800577	-1.779800983	0.5005432589	0.4019904239
+-80	-10	2.39517135576126	-1.824004887	0.2902152351	0.4097847649
+-80	-15	2.46231945727154	-1.844653640	0.07175195066	0.4134256971
+-80	-20	2.52413674921696	-1.840008609	-0.1516934817	0.4126066529
+-80	-25	2.57981258565433	-1.808808774	-0.3766152123	0.4071052801
+-80	-30	2.62859452004047	-1.750343616	-0.5992364922	0.3967962953
+-80	-35	2.66980185602838	-1.664511623	-0.8156073551	0.3816617992
+-80	-40	2.70283777810325	-1.551860304	-1.021715224	0.3617983323
+-80	-45	2.72719616615270	-1.413602215	-1.213602215	0.3374197008
+
+-75	45	1.55465888717434	-0.5800939614	1.780093961	0.2894103047
+-75	40	1.62283770421574	-0.7177767401	1.721836013	0.3263022941
+-75	35	1.69416256265193	-0.8555090471	1.649137653	0.3632075545
+-75	30	1.76811609520388	-0.9916004597	1.561175927	0.3996731386
+-75	25	1.84410894444928	-1.124126138	1.457342456	0.4351832869
+-75	20	1.92149418732347	-1.250962894	1.337298375	0.4691690934
+-75	15	1.99957292627123	-1.369826891	1.201018605	0.5010186054
+-75	10	2.07761684988996	-1.478334653	1.048833776	0.5300931727
+-75	5	2.15486187077437	-1.574043987	0.8814553365	0.5557384114
+-75	-2.84217e-14	2.23052049587977	-1.654517353	0.7000000000	0.5773011848
+-75	-5	2.30380284711906	-1.717398947	0.5060027296	0.5941502571
+-75	-10	2.37391379125872	-1.760472578	0.3014176953	0.6056918018
+-75	-15	2.44005848089082	-1.781730715	0.08861209757	0.6113879024
+-75	-20	2.50144961645213	-1.779447676	-0.1296511045	0.6107761639
+-75	-25	2.55731238623811	-1.752251908	-0.3502423127	0.6034890798
+-75	-30	2.60689384551856	-1.699201777	-0.5697097379	0.5892743401
+-75	-35	2.64947500194979	-1.619859932	-0.7843419045	0.5680147569
+-75	-40	2.68438562881744	-1.514361862	-0.9902502958	0.5397466343
+-75	-45	2.71101470972689	-1.383468227	-1.183468227	0.5046737903
+
+-70	45	1.55430191098966	-0.5643720824	1.764372082	0.3873997562
+-70	40	1.62114189173094	-0.6962395850	1.703764195	0.4353956020
+-70	35	1.69065888364887	-0.8271749759	1.629297923	0.4830521869
+-70	30	1.76234833017614	-0.9556375734	1.540412745	0.5298087486
+-70	25	1.83566718688478	-1.079939239	1.436737767	0.5750508549
+-70	20	1.91004763633389	-1.198273952	1.318121168	0.6181211682
+-70	15	1.98490172572501	-1.308743057	1.184651241	0.6583286340
+-70	10	2.05963560674211	-1.409391420	1.036677224	0.6949616425
+-70	5	2.13363512844158	-1.498219687	0.8748215698	0.7272924876
+-70	-2.84217e-14	2.20627348891555	-1.573218917	0.7000000000	0.7545899749
+-70	-5	2.27691465232864	-1.632405688	0.5134386763	0.7761321978
+-70	-10	2.34490997485355	-1.673855886	0.3166905551	0.7912188361
+-70	-15	2.40959060014415	-1.695741084	0.1116529497	0.7991843968
+-70	-20	2.47026621389238	-1.696379130	-0.09941662644	0.7994166264
+-70	-25	2.52622300948313	-1.674293296	-0.3138896152	0.7913780405
+-70	-30	2.57672358976769	-1.628282820	-0.5287646589	0.7746315965
+-70	-35	2.62101891185997	-1.557511864	-0.7406853171	0.7488730752
+-70	-40	2.65836126788197	-1.461603112	-0.9459804478	0.7139651442
+-70	-45	2.68801502313537	-1.340728707	-1.140728707	0.6699704589
+
+-65	45	1.55387728678884	-0.5434953126	1.743495313	0.4865898555
+-65	40	1.61898499877071	-0.6679362131	1.680014846	0.5446176004
+-65	35	1.68619916588752	-0.7903241635	1.603494706	0.6016880390
+-65	30	1.75503942975804	-0.9093287751	1.513676348	0.6571808007
+-65	25	1.82502908105057	-1.023565539	1.410450278	0.7104502784
+-65	20	1.89570438198531	-1.131612615	1.293858426	0.7608334574
+-65	15	1.96660690834439	-1.232011382	1.164091051	0.8076501716
+-65	10	2.03729206155969	-1.323278874	1.021493259	0.8502089018
+-65	5	2.10731928043507	-1.403904170	0.8665700313	0.8878050948
+-65	-2.84217e-14	2.17623437711404	-1.472338162	0.7000000000	0.9197163896
+-65	-5	2.24357873208011	-1.527010782	0.5226595357	0.9452106510
+-65	-10	2.30886810468191	-1.566326433	0.3356508990	0.9635438398
+-65	-15	2.37158286585732	-1.588677966	0.1403404257	0.9739665311
+-65	-20	2.43115601991438	-1.592470149	-0.06159685027	0.9757348549
+-65	-25	2.48696368568968	-1.576159885	-0.2681292540	0.9681292540
+-65	-30	2.53831796830821	-1.538315774	-0.4768221606	0.9504822550
+-65	-35	2.58446715724399	-1.477702569	-0.6848022474	0.9222178536
+-65	-40	2.62460157116429	-1.393388279	-0.8887414063	0.8829014542
+-65	-45	2.65786606740999	-1.284871178	-1.084871178	0.8322990990
+
+-60	45	1.55341934689334	-0.5169516776	1.716951678	0.5871373248
+-60	40	1.61639539168851	-0.6324190291	1.650212390	0.6538024313
+-60	35	1.68082554359477	-0.7446722247	1.571528874	0.7186118440
+-60	30	1.74627717753305	-0.8526604853	1.480958895	0.7809588953
+-60	25	1.81236158048098	-0.9553595110	1.378645285	0.8402522055
+-60	20	1.87873407702166	-1.051768096	1.264797397	0.8959137280
+-60	15	1.94507926995316	-1.140888368	1.139674713	0.9473673407
+-60	10	2.01111196764614	-1.221715899	1.003584966	0.9940331376
+-60	5	2.07656222267941	-1.293215847	0.8568860578	1.035313652
+-60	-2.84217e-14	2.14115740120283	-1.354296703	0.7000000000	1.070578701
+-60	-5	2.20461598225818	-1.403796704	0.5334393708	1.099157539
+-60	-10	2.26662661491209	-1.440462362	0.3578441305	1.120326467
+-60	-15	2.32683322807737	-1.462939833	0.1740318570	1.133303841
+-60	-20	2.38481562785171	-1.469773611	-0.01693896251	1.137249324
+-60	-25	2.44007228457374	-1.459422692	-0.2136938068	1.131273219
+-60	-30	2.49200401164316	-1.430298007	-0.4144580740	1.114458074
+-60	-35	2.53990029099053	-1.380827762	-0.6169697771	1.085896415
+-60	-40	2.58293535843143	-1.309560437	-0.8184014951	1.044750205
+-60	-45	2.62016568696462	-1.215301085	-1.015301085	0.9903295431
+
+-55	45	1.55297881565424	-0.4841029126	1.684102913	0.6890762778
+-55	40	1.61341789907528	-0.5891584681	1.613912469	0.7626369697
+-55	35	1.67460265032496	-0.6899136562	1.533186512	0.8331865119
+-55	30	1.73617929482458	-0.7856623661	1.442277513	0.9002304803
+-55	25	1.79786825814386	-0.8757763040	1.341535026	0.9633289390
+-55	20	1.85945175701617	-0.9596781554	1.231279400	1.022077648
+-55	15	1.92076507780850	-1.036815001	1.111788338	1.076089449
+-55	10	1.98167656797322	-1.106621838	0.9832907778	1.124968722
+-55	5	2.04207851223984	-1.168493509	0.8459742672	1.168291733
+-55	-2.84217e-14	2.10186610236940	-1.221747915	0.7000000000	1.205580869
+-55	-5	2.16092514387560	-1.265597922	0.5455301975	1.236284974
+-55	-10	2.21911417572655	-1.299121690	0.3827663045	1.259758569
+-55	-15	2.27624329268760	-1.321235131	0.2120015174	1.275242568
+-55	-20	2.33205371528316	-1.330672860	0.03368957039	1.281850936
+-55	-25	2.38619617477737	-1.325980374	-0.1514686319	1.278565222
+-55	-30	2.43820470417600	-1.305520915	-0.3424179863	1.264239355
+-55	-35	2.48746912328318	-1.267507939	-0.5376223828	1.237622383
+-55	-40	2.53321215254888	-1.210077389	-0.7349253060	1.197409078
+-55	-45	2.57447042863066	-1.131409148	-0.9314091485	1.142324984
+
+-50	45	1.55263271383065	-0.4441876307	1.644187631	0.7922674927
+-50	40	1.61011913882809	-0.5375615420	1.570617507	0.8706175072
+-50	35	1.66762425642797	-0.6257511656	1.488259452	0.9446173879
+-50	30	1.72489872085704	-0.7084346100	1.397690047	1.013997036
+-50	25	1.78178919640391	-0.7853832050	1.299384032	1.078564573
+-50	20	1.83821357035440	-0.8564166405	1.193695282	1.138168703
+-50	15	1.89414741428712	-0.9213674340	1.080854256	1.192668890
+-50	10	1.94960060798884	-0.9800400264	0.9609709892	1.241901040
+-50	5	2.00460994485888	-1.032183105	0.8340486521	1.285654278
+-50	-2.84217e-14	2.05921287743216	-1.077448582	0.7000000000	1.323636523
+-50	-5	2.11344276543860	-1.115367272	0.5586736763	1.355454082
+-50	-10	2.16731120882381	-1.145315110	0.4098865544	1.380583302
+-50	-15	2.22078638091555	-1.166477179	0.2534687857	1.398340386
+-50	-20	2.27377616284197	-1.177818004	0.08932418795	1.407856469
+-50	-25	2.32610436206653	-1.178052312	-0.08248864376	1.408053076
+-50	-30	2.37747735474026	-1.165620065	-0.2616461931	1.397621182
+-50	-35	2.42744646891629	-1.138678906	-0.4474153226	1.375014866
+-50	-40	2.47536611240014	-1.095127105	-0.6384705655	1.338470565
+-50	-45	2.52034818788243	-1.032675154	-0.8326751542	1.286067157
+
+-45	45	1.55248985155511	-0.3963304337	1.596330434	0.8963304337
+-45	40	1.60660117202671	-0.4770069512	1.519806172	0.9770069512
+-45	35	1.66001804741494	-0.5519323116	1.436570934	1.051932312
+-45	30	1.71262426656894	-0.6211757627	1.347311128	1.121175763
+-45	25	1.76440207898376	-0.6848717493	1.252514771	1.184871749
+-45	20	1.81540288025987	-0.7431716968	1.152477494	1.243171697
+-45	15	1.86572804058394	-0.7962081952	1.047317939	1.296208195
+-45	10	1.91550861565086	-0.8440622919	0.9369944458	1.344062292
+-45	5	1.96489585401980	-0.8867400973	0.8213240378	1.386740097
+-45	-2.84217e-14	2.01404283238539	-0.9241433444	0.7000000000	1.424143344
+-45	-5	2.06310173013447	-0.9560496365	0.5726121633	1.456049637
+-45	-10	2.11221012481037	-0.9820825958	0.4386688507	1.482082596
+-45	-15	2.16147562705895	-1.001677823	0.2976266401	1.501677823
+-45	-20	2.21096539172802	-1.014049376	0.1489310940	1.514049376
+-45	-25	2.26067984552449	-1.018143577	-0.007921976057	1.518143577
+-45	-30	2.31052188245833	-1.012591632	-0.1732951857	1.512591632
+-45	-35	2.36025681826455	-0.9956647096	-0.3472757043	1.495664710
+-45	-40	2.40945721069678	-0.9652400886	-0.5294824179	1.465240089
+-45	-45	2.45743073890333	-0.9187982986	-0.7187982986	1.418798299
 
 
 ### -y patch
-# N_rho = 10
+# N_rho = 19
 # 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	2.73956550739269	-1.437165348	-1.237165348	2.372343343e-16
--40	-90	2.75276639682456	-1.269444132	-1.408741401	2.582463408e-16
--35	-90	2.75650482475379	-1.081066214	-1.557996562	2.765248262e-16
--30	-90	2.75074973794521	-0.8753748690	-1.682219153	2.917377060e-16
--25	-90	2.73556959283751	-0.6561016662	-1.779268024	3.036227650e-16
--20	-90	2.71116205238742	-0.4272720337	-1.847658974	3.119982408e-16
--15	-90	2.67784338692320	-0.1930768683	-1.886598086	3.167669067e-16
--10	-90	2.63604855006042	0.04225497304	-1.896001049	3.179184376e-16
--5	-90	2.58632910665180	0.2745865657	-1.876487344	3.155286978e-16
--2.84217e-14	-90	2.52935599372762	0.5000000000	-1.829355994	3.097567722e-16
-5	-90	2.46589411097660	0.7149168328	-1.756510639	3.008357892e-16
-10	-90	2.39680162891468	0.9162002351	-1.660388827	2.890642621e-16
-15	-90	2.32301039770594	1.101239333	-1.543855738	2.747930747e-16
-20	-90	2.24550673576700	1.268008536	-1.410086110	2.584110200e-16
-25	-90	2.16530446130227	1.415097208	-1.262432295	2.403286428e-16
-30	-90	2.08340609687719	1.541703048	-1.104282606	2.209608919e-16
-35	-90	2.00083368809144	1.647631057	-0.9389870059	2.007180191e-16
-40	-90	1.91855323503958	1.733222248	-0.7696970445	1.799859781e-16
-45	-90	1.83747367552204	1.799290096	-0.5992900962	1.591171457e-16
-
--45	-85	2.73638637819661	-1.431225365	-1.231225365	0.1689603261
--40	-85	2.74899198503591	-1.263062842	-1.401136476	0.1838256222
--35	-85	2.75217646115169	-1.074545243	-1.548683650	0.1967343272
--30	-85	2.74593821277013	-0.8690450916	-1.671255657	0.2074579883
--25	-85	2.73037214303439	-0.6502947474	-1.766815046	0.2158183516
--20	-85	2.70569826604607	-0.4222917247	-1.833975688	0.2216941463
--15	-85	2.67224777736793	-0.1891721251	-1.872025386	0.2250230636
--10	-85	2.63046143357309	0.04491120950	-1.880936784	0.2258027099
--5	-85	2.58089345551966	0.2759098121	-1.861362568	0.2240901879
--2.84217e-14	-85	2.52420175662884	0.5000000000	-1.814596407	0.2199986789
-5	-85	2.46113428050380	0.7136919066	-1.742509669	0.2136919066
-10	-85	2.39252560332087	0.9139241766	-1.647480658	0.2053779454
-15	-85	2.31928073195022	1.098142000	-1.532296335	0.1953006230
-20	-85	2.24235483198682	1.264351787	-1.400039276	0.1837296296
-25	-85	2.16273158670147	1.411150075	-1.253967642	0.1709500176
-30	-85	2.08138673328169	1.537719013	-1.097382054	0.1572505537
-35	-85	1.99931856583905	1.643828378	-0.9335562175	0.1429176503
-40	-85	1.91747702022736	1.729771677	-0.7655848146	0.1282220567
-45	-85	1.83676097615841	1.796307939	-0.5963079390	0.1134122491
-
--45	-80	2.72678925933413	-1.413316699	-1.213316699	0.3373693567
--40	-80	2.73762948851485	-1.243877641	-1.378272444	0.3664555051
--35	-80	2.73918294034866	-1.054993979	-1.520761552	0.3915801793
--30	-80	2.73153004963742	-0.8501144787	-1.638466873	0.4123348032
--25	-80	2.71484277732719	-0.6329664214	-1.729654331	0.4284136124
--20	-80	2.68940289486165	-0.4074575361	-1.793219090	0.4396217943
--15	-80	2.65558332632522	-0.1775583240	-1.828682090	0.4458748781
--10	-80	2.61384489220095	0.05280284555	-1.836181092	0.4471971545
--5	-80	2.56473585505093	0.2798392712	-1.816448645	0.4437177916
--2.84217e-14	-80	2.50888378671555	0.5000000000	-1.770768205	0.4356630975
-5	-80	2.44698489344553	0.7100528116	-1.700914623	0.4233460264
-10	-80	2.37980576561807	0.9071558988	-1.609095847	0.4071558988
-15	-80	2.30817234708972	1.088918213	-1.497872692	0.3875442558
-20	-80	2.23295019439773	1.253441400	-1.370063233	0.3650079997
-25	-80	2.15503641667365	1.399346333	-1.228654435	0.3400738134
-30	-80	2.07533071345939	1.525774563	-1.076693661	0.3132790289
-35	-80	1.99476322260049	1.632397824	-0.9172316949	0.2851615819
-40	-80	1.91423251840742	1.719371468	-0.7531903280	0.2562366629
-45	-80	1.83460587961535	1.787294958	-0.5872949582	0.2269848333
-
--45	-75	2.71061735672539	-1.383192167	-1.183192167	0.5045998203
--40	-75	2.71858468897424	-1.211784077	-1.340024823	0.5466230038
--35	-75	2.71751646244107	-1.022461453	-1.474300290	0.5826020067
--30	-75	2.70761791322175	-0.8187682486	-1.584173610	0.6120424742
--25	-75	2.68918020606438	-0.6043980603	-1.668389283	0.6346079958
--20	-75	2.66257284841786	-0.3830905448	-1.726271331	0.6501174438
--15	-75	2.62822729563716	-0.1585360089	-1.757689844	0.6585360089
--10	-75	2.58662717636225	0.06570292273	-1.763021119	0.6599645197
--5	-75	2.53830456107655	0.2862559477	-1.743105697	0.6546281985
--2.84217e-14	-75	2.48383533161103	0.5000000000	-1.699200695	0.6428638887
-5	-75	2.42383580361503	0.7041049347	-1.632930079	0.6251067307
-10	-75	2.35896794161249	0.8960728828	-1.546240939	0.6018784457
-15	-75	2.28993074745041	1.073771476	-1.441344301	0.5737714761
-20	-75	2.21745862044026	1.235460343	-1.320660686	0.5414343990
-25	-75	2.14231301351677	1.379809516	-1.186757597	0.5055551743
-30	-75	2.06527794967522	1.505911126	-1.042289179	0.4668449784
-35	-75	1.98716957329902	1.613291904	-0.8899456134	0.4260246431
-40	-75	1.90880044996128	1.701895320	-0.7323630659	0.3838005268
-45	-75	1.83098121121903	1.772067954	-0.5720679540	0.3408495810
-
--45	-70	2.68762386896304	-1.340460849	-1.140460849	0.6698729662
--40	-70	2.69171856401679	-1.166634321	-1.286217440	0.7229240269
--35	-70	2.68717667010554	-0.9770499960	-1.409446008	0.7677755576
--30	-70	2.67436333255709	-0.7753262170	-1.508929804	0.8039846983
--25	-70	2.65371255305219	-0.5650570394	-1.584022192	0.8313160922
--20	-70	2.62569062326356	-0.3497143864	-1.634571090	0.8497143864
--15	-70	2.59078398833494	-0.1325888379	-1.660853683	0.8592804681
--10	-70	2.54948951532661	0.08324907084	-1.663511968	0.8602480046
--5	-70	2.50230766939127	0.2949708696	-1.643493684	0.8529619452
--2.84217e-14	-70	2.44974267972802	0.5000000000	-1.602005119	0.8378613424
-5	-70	2.39230768437655	0.6960161695	-1.540475069	0.8154662358
-10	-70	2.33053019993453	0.8809588627	-1.460525072	0.7863668166
-15	-70	2.26495658724529	1.053031925	-1.363943241	0.7512139049
-20	-70	2.19616083578832	1.210711856	-1.252664777	0.7107118563
-25	-70	2.12473319589869	1.352753266	-1.128735281	0.6656052086
-30	-70	2.05130650536478	1.478208508	-0.9943068363	0.6166772561
-35	-70	1.97654561566725	1.586440176	-0.8515973714	0.5647352588
-40	-70	1.90114447607881	1.677133700	-0.7028533163	0.5105968502
-45	-70	1.82583289903087	1.750314081	-0.5503140806	0.4550771088
-
--45	-65	2.65748068398167	-1.284612376	-1.084612376	0.8321784179
--40	-65	2.65686444232175	-1.108270984	-1.216662723	0.8937545056
--35	-65	2.64819090669132	-0.9189465356	-1.326465666	0.9449564593
--30	-65	2.63201905367198	-0.7202641230	-1.413559460	0.9855689621
--25	-65	2.60890951159183	-0.5156005228	-1.477962350	1.015600523
--20	-65	2.57941696565025	-0.3080418618	-1.520076769	1.035238799
--15	-65	2.54406249192838	-0.1003622946	-1.540582587	1.044800819
--10	-65	2.50333327737549	0.1049634766	-1.540363454	1.044698635
--5	-65	2.45767634091822	0.3057364972	-1.520441998	1.035409108
--2.84217e-14	-65	2.40750592107067	0.5000000000	-1.481941364	1.017455967
-5	-65	2.35321345805802	0.6860063840	-1.426062698	0.9913993179
-10	-65	2.29518050408339	0.8621891401	-1.354076685	0.9578316888
-15	-65	2.23379356753016	1.027143274	-1.267325482	0.9173789385
-20	-65	2.16944282854537	1.179611186	-1.167216386	0.8706973004
-25	-65	2.10253573348268	1.318478518	-1.055232846	0.8184785178
-30	-65	2.03352339486095	1.442787872	-0.9329564947	0.7614601189
-35	-65	1.96290134184253	1.551756522	-0.8020639811	0.7004239374
-40	-65	1.89122182973230	1.644807068	-0.6643279361	0.6361965648
-45	-65	1.81909751711119	1.721602084	-0.5216020843	0.5696424071
-
--45	-60	2.61978810146220	-1.215053897	-1.015053897	0.9901868292
--40	-60	2.61384403388748	-1.036571434	-1.131214527	1.057252200
--35	-60	2.60065145837893	-0.8484700103	-1.225814757	1.111869669
--30	-60	2.58094176070739	-0.6542322446	-1.299188891	1.154232245
--25	-60	2.55538621863877	-0.4568735225	-1.352021891	1.184735391
--20	-60	2.52458299526354	-0.2589567480	-1.385216527	1.203900323
--15	-60	2.48905205590685	-0.06263683704	-1.399789262	1.212313896
--10	-60	2.44923748440605	0.1302783283	-1.396795795	1.210585617
--5	-60	2.40551016658053	0.3182616427	-1.377278929	1.199317549
--2.84217e-14	-60	2.35818014183679	0.5000000000	-1.342243910	1.179090071
-5	-60	2.30751334146988	0.6743346130	-1.292653745	1.150459176
-10	-60	2.25374686977938	0.8402116232	-1.229435994	1.113960390
-15	-60	2.19709923972997	0.9966424724	-1.153494940	1.070115803
-20	-60	2.13778156245743	1.142673957	-1.065732184	1.019445952
-25	-60	2.07601933263566	1.277372875	-0.9670815103	0.9624899587
-30	-60	2.01207955828374	1.399829334	-0.8585501241	0.8998293337
-35	-60	1.94627419813874	1.509167291	-0.7412402556	0.8321004495
-40	-60	1.87899171559700	1.604581971	-0.6163895327	0.7600178511
-45	-60	1.81069386495929	1.685377385	-0.4853773852	0.6843779525
-
--45	-55	2.57410034293294	-1.131174630	-0.9311746299	1.142160772
--40	-55	2.56250466189168	-0.9515179009	-1.029851673	1.211255181
--35	-55	2.54472760666318	-0.7661109296	-1.108193800	1.266110930
--30	-55	2.52161776001175	-0.5780799918	-1.167289320	1.307490058
--25	-55	2.49389361760220	-0.3898984121	-1.208393303	1.336271377
--20	-55	2.46214832342052	-0.2034808403	-1.232797724	1.353359536
--15	-55	2.42685769169688	-0.02028835177	-1.241742563	1.359622780
--10	-55	2.38838894801293	0.1585676120	-1.236359295	1.355853375
--5	-55	2.34701430021406	0.3322279527	-1.217643275	1.342748277
--2.84217e-14	-55	2.30292941719669	0.5000000000	-1.186449340	1.320906048
-5	-55	2.25627247931355	0.6612855333	-1.143502081	1.290834054
-10	-55	2.20714397265260	0.8155224939	-1.089416983	1.252963261
-15	-55	2.15561355701554	0.9621369553	-1.024718597	1.207660963
-20	-55	2.10172878920852	1.100502383	-0.9498667366	1.155249126
-25	-55	2.04555493690768	1.229917298	-0.8653126963	1.096043750
-30	-55	1.98717947400747	1.349588889	-0.7715311212	1.030377184
-35	-55	1.92673128682304	1.458631303	-0.6690673842	0.9586313027
-40	-55	1.86441894659399	1.556090752	-0.5585999480	0.8812811712
-45	-55	1.80054230245939	1.640980744	-0.4409807438	0.7989233177
-
--45	-50	2.51998482936567	-1.032454189	-0.8324541885	1.285881744
--40	-50	2.50277558550228	-0.8532913117	-0.9127897826	1.353291312
--35	-50	2.48070407558603	-0.6725893459	-0.9746311370	1.405182369
--30	-50	2.45465153117201	-0.4928617388	-1.019686976	1.442988708
--25	-50	2.42530952658641	-0.3158607125	-1.049618944	1.468104611
--20	-50	2.39319854723388	-0.1427494888	-1.065939707	1.481799357
--15	-50	2.35869564543847	0.02573951288	-1.069964234	1.485176336
--10	-50	2.32205997457011	0.1891720868	-1.062792693	1.479158699
--5	-50	2.28345293456445	0.3473050636	-1.045311110	1.464489908
--2.84217e-14	-50	2.24295559397466	0.5000000000	-1.018203669	1.441744065
-5	-50	2.20058919410807	0.6471538222	-0.9819758839	1.411345344
-10	-50	2.15633307560764	0.7886439271	-0.9369810560	1.373590200
-15	-50	2.11013115928824	0.9242818837	-0.8834415466	1.328665218
-20	-50	2.06190731836433	1.053773475	-0.8214801168	1.276673405
-25	-50	2.01158251282024	1.176685233	-0.7511561652	1.217664603
-30	-50	1.95908451420823	1.292413926	-0.6725011807	1.151665235
-35	-50	1.90438501189629	1.400172494	-0.5855795535	1.078729329
-40	-50	1.84750509470768	1.498975940	-0.4905331653	0.9989759399
-45	-50	1.78856579711249	1.587663352	-0.3876633523	0.9126579177
-
--45	-45	2.45707860896863	-0.9185949963	-0.7185949963	1.418594996
--40	-45	2.43472557469977	-0.7423761971	-0.7806062962	1.480606296
--35	-45	2.40903696274222	-0.5689200694	-0.8265760664	1.526576066
--30	-45	2.38081929844638	-0.3998651115	-0.8586120930	1.558612093
--25	-45	2.35064488322844	-0.2360941329	-0.8785589622	1.578558962
--20	-45	2.31889807980626	-0.07797043440	-0.8879607176	1.587960718
--15	-45	2.28581612674361	0.07447981212	-0.8880629608	1.588062961
--10	-45	2.25152821276424	0.2214318554	-0.8798384540	1.579838454
--5	-45	2.21608111663831	0.3631663309	-0.8640159946	1.564015995
--2.84217e-14	-45	2.17944982431657	0.5000000000	-0.8411037500	1.541103750
-5	-45	2.14155710532885	0.6322321255	-0.8114201104	1.511420110
-10	-45	2.10228690515442	0.7601034086	-0.7751197322	1.475119732
-15	-45	2.06148610622078	0.8837596318	-0.7322104439	1.432210444
-20	-45	2.01898410981050	1.003218806	-0.6825823066	1.382582307
-25	-45	1.97459445084039	1.118335590	-0.6260249514	1.326024951
-30	-45	1.92812655572335	1.228763338	-0.5622551273	1.262255127
-35	-45	1.87940401871848	1.333915255	-0.4909544098	1.190954410
-40	-45	1.82828982129958	1.432928039	-0.4118203419	1.111820342
-45	-45	1.77471781671877	1.524633809	-0.3246338092	1.024633809
+-45	-135	2.45743088811669	-0.9187983848	-0.7187983848	-1.418798385
+-40	-135	2.43507527190954	-0.7425546384	-0.7808189543	-1.480818954
+-35	-135	2.40938546007510	-0.5690747020	-0.8267969048	-1.526796905
+-30	-135	2.38116555897932	-0.3999959856	-0.8588387737	-1.558838774
+-25	-135	2.35098732171834	-0.2362013660	-0.8787889244	-1.578788924
+-20	-135	2.31923678667731	-0.07805485491	-0.8881926611	-1.588192661
+-15	-135	2.28615439131105	0.07441684188	-0.8882979690	-1.588297969
+-10	-135	2.25186890578983	0.2213897035	-0.8800775094	-1.580077509
+-5	-135	2.21642293541685	0.3631452250	-0.8642572358	-1.564257236
+-2.84217e-14	-135	2.17979214644078	0.5000000000	-0.8413458083	-1.541345808
+5	-135	2.14190041685766	0.6322533235	-0.8116624051	-1.511662405
+10	-135	2.10263059088698	0.7601459307	-0.7753608875	-1.475360887
+15	-135	2.06183210115485	0.8838240411	-0.7324508227	-1.432450823
+20	-135	2.01933142319286	1.003305372	-0.6828201437	-1.382820144
+25	-135	1.97493999528041	1.118443795	-0.6262569994	-1.326256999
+30	-135	1.92846728526053	1.228892121	-0.5624781871	-1.262478187
+35	-135	1.87973817721451	1.334063526	-0.4911661618	-1.191166162
+40	-135	1.82861589878535	1.433094428	-0.4120186362	-1.112018636
+45	-135	1.77503286565573	1.524815703	-0.3248157028	-1.024815703
+
+-45	-130	2.52034772517373	-1.032674873	-0.8326748728	-1.286066921
+-40	-130	2.50313676192978	-0.8534866057	-0.9130225248	-1.353486606
+-35	-130	2.48106390001284	-0.6727594292	-0.9748740411	-1.405386190
+-30	-130	2.45501142786935	-0.4930073104	-1.019939114	-1.443200276
+-25	-130	2.42566883804737	-0.3159815829	-1.049878151	-1.468322112
+-20	-130	2.39355734199055	-0.1428458515	-1.066204461	-1.482021512
+-15	-130	2.35905449195324	0.02566735999	-1.070233512	-1.485402287
+-10	-130	2.32241842233293	0.1891241055	-1.063064809	-1.479387031
+-5	-130	2.28380952072475	0.3472812186	-1.045583659	-1.464718604
+-2.84217e-14	-130	2.24331116754275	0.5000000000	-1.018476054	-1.441972623
+5	-130	2.20094660078065	0.6471777220	-0.9822490605	-1.411574566
+10	-130	2.15669321692415	0.7886921351	-0.9372544574	-1.373819611
+15	-130	2.11049370661807	0.9243547807	-0.8837136020	-1.328893499
+20	-130	2.06226889516867	1.053870584	-0.8217469241	-1.276897283
+25	-130	2.01193789854736	1.176804783	-0.7514125406	-1.217879727
+30	-130	1.95943486296202	1.292555636	-0.6727466291	-1.151871190
+35	-130	1.90472391985428	1.400332691	-0.5858083377	-1.078921302
+40	-130	1.84783246875438	1.499152956	-0.4907441253	-0.9991529564
+45	-130	1.78888015186163	1.587854518	-0.3878545178	-0.9128183247
+
+-45	-125	2.57447070788947	-1.131409325	-0.9314093255	-1.142325108
+-40	-125	2.56287780561115	-0.9517292663	-1.030103569	-1.211431561
+-35	-125	2.54509981875883	-0.7662961211	-1.108458281	-1.266296121
+-30	-125	2.52198808866414	-0.5782383203	-1.167563553	-1.307682078
+-25	-125	2.49426450441674	-0.3900307560	-1.208677116	-1.336470104
+-20	-125	2.46252093219488	-0.2035873014	-1.233090223	-1.353564346
+-15	-125	2.42723029392796	-0.02036823309	-1.242040685	-1.359831527
+-10	-125	2.38875902646195	0.1585147074	-1.236659331	-1.356063463
+-5	-125	2.34738211457086	0.3322016602	-1.217943800	-1.342958707
+-2.84217e-14	-125	2.30329834796757	0.5000000000	-1.186751550	-1.321117658
+5	-125	2.25664701509946	0.6613123063	-1.143808098	-1.291048329
+10	-125	2.20752279017488	0.8155766478	-1.089724105	-1.253178310
+15	-125	2.15599035931866	0.9622177371	-1.025020079	-1.207872063
+20	-125	2.10210458307093	1.100609754	-0.9501617365	-1.155455687
+25	-125	2.04592594723085	1.230049686	-0.8655966032	-1.096242543
+30	-125	1.98753743707585	1.349741931	-0.7717961973	-1.030562792
+35	-125	1.92707771905131	1.458803668	-0.6693135467	-0.9588036676
+40	-125	1.86474903077905	1.556277727	-0.5588227755	-0.8814371967
+45	-125	1.80085648963337	1.641179840	-0.4411798402	-0.7990627266
+
+-45	-120	2.62016551604532	-1.215300973	-1.015300973	-0.9903294785
+-40	-120	2.61422636122707	-1.036796189	-1.131482379	-1.057406845
+-35	-120	2.60103871441070	-0.8486708073	-1.226101525	-1.112035234
+-30	-120	2.58132755057711	-0.6544047751	-1.299487723	-1.154404775
+-25	-120	2.55577054598643	-0.4570174352	-1.352330513	-1.184913574
+-20	-120	2.52496620567271	-0.2590719512	-1.385533046	-1.204083065
+-15	-120	2.48943376587957	-0.06272312053	-1.400111276	-1.212499811
+-10	-120	2.44961656862495	0.1302211041	-1.397120329	-1.210772987
+-5	-120	2.40588860102251	0.3182330517	-1.377605726	-1.199506225
+-2.84217e-14	-120	2.35856364279276	0.5000000000	-1.342576031	-1.179281821
+5	-120	2.30790582641180	0.6743642656	-1.292992676	-1.150654858
+10	-120	2.25414554596951	0.8402718049	-1.229777301	-1.114157444
+15	-120	2.19749599478793	0.9967321567	-1.153829647	-1.070309046
+20	-120	2.13817196636929	1.142791322	-1.066054644	-1.019632124
+25	-120	2.07640161399711	1.277516022	-0.9673884892	-0.9626671931
+30	-120	2.01244822155349	1.399994205	-0.8588356894	-0.8999942049
+35	-120	1.94662551670882	1.509349454	-0.7415004114	-0.8322506505
+40	-120	1.87932393401923	1.604777269	-0.6166222793	-0.7601522274
+45	-120	1.81100891912576	1.685583637	-0.4855836366	-0.6844970317
+
+-45	-115	2.65786620544413	-1.284871270	-1.084871270	-0.8322991422
+-40	-115	2.65725924320197	-1.108509967	-1.216947532	-0.8938873145
+-35	-115	2.64858887353101	-0.9191597731	-1.326770201	-0.9450984662
+-30	-115	2.63241572368486	-0.7204480283	-1.413877993	-0.9857174966
+-25	-115	2.60930785006538	-0.5157555886	-1.478294889	-1.015755589
+-20	-115	2.57981729242665	-0.3081672703	-1.520421326	-1.035399469
+-15	-115	2.54446419496573	-0.1004570908	-1.540936371	-1.044965791
+-10	-115	2.50373286811618	0.1049004195	-1.540721068	-1.044865394
+-5	-115	2.45807412414258	0.3057050549	-1.520801384	-1.035576693
+-2.84217e-14	-115	2.40790676408765	0.5000000000	-1.482304651	-1.017625371
+5	-115	2.35362218630399	0.6860386914	-1.426431973	-0.9915715135
+10	-115	2.29559914263653	0.8622552030	-1.354451347	-0.9580063963
+15	-115	2.23421234435182	1.027242100	-1.267694304	-0.9175509227
+20	-115	2.16985036186352	1.179738852	-1.167567146	-0.8708608623
+25	-115	2.10293051195985	1.318632198	-1.055562413	-0.8186321978
+30	-115	2.03390116835157	1.442963016	-0.9332598537	-0.7616015775
+35	-115	1.96325825996589	1.551947765	-0.8023371043	-0.7005512968
+40	-115	1.89155880839458	1.645011050	-0.6645710326	-0.6363099226
+45	-115	1.81941165056877	1.721813038	-0.5218130384	-0.5697407766
+
+-45	-110	2.68801516742035	-1.340728806	-1.140728806	-0.6699704948
+-40	-110	2.69212039497342	-1.166883123	-1.286513951	-0.7230319480
+-35	-110	2.68758408821210	-0.9772739399	-1.409765833	-0.7678919644
+-30	-110	2.67477537576492	-0.7755227085	-1.509270137	-0.8041085694
+-25	-110	2.65412705805181	-0.5652233993	-1.584378952	-0.8314459422
+-20	-110	2.62610819951727	-0.3498495206	-1.634942368	-0.8498495206
+-15	-110	2.59120477517556	-0.1326915809	-1.661237125	-0.8594200297
+-10	-110	2.54991033459132	0.08318028184	-1.663902090	-0.8603899974
+-5	-110	2.50272784994824	0.2949364417	-1.643887197	-0.8531051722
+-2.84217e-14	-110	2.45016698816015	0.5000000000	-1.602403838	-0.8380064645
+5	-110	2.39274024537075	0.6960516118	-1.540880177	-0.8156136830
+10	-110	2.33096957768470	0.8810306854	-1.460932399	-0.7865150714
+15	-110	2.26539520732328	1.053139022	-1.364342934	-0.7513593812
+20	-110	2.19658564131822	1.210849330	-1.253042483	-0.7108493300
+25	-110	2.12514094146760	1.352916913	-1.129086223	-0.6657329411
+30	-110	2.05169365514015	1.478393129	-0.9946266084	-0.6167936436
+35	-110	1.97690856283286	1.586639675	-0.8518822866	-0.5648389594
+40	-110	1.90148298406210	1.677343295	-0.7031031011	-0.5106877644
+45	-110	1.82614715733283	1.750529282	-0.5505292819	-0.4551554357
+
+-45	-105	2.71101478871321	-1.383468282	-1.183468282	-0.5046738050
+-40	-105	2.71899053316487	-1.212039620	-1.340329368	-0.5467046065
+-35	-105	2.71793785760941	-1.022697536	-1.474637450	-0.5826923486
+-30	-105	2.70804950229224	-0.8189784577	-1.584537703	-0.6121400325
+-25	-105	2.68961969673995	-0.6045785512	-1.668776347	-0.6347117093
+-20	-105	2.66301344868203	-0.3832366778	-1.726672828	-0.6502250247
+-15	-105	2.62866872284039	-0.1586466141	-1.758102628	-0.6586466141
+-10	-105	2.58707055470713	0.06562847910	-1.763443309	-0.6600776454
+-5	-105	2.53874968085446	0.2862184653	-1.743534123	-0.6547429948
+-2.84217e-14	-105	2.48428568951907	0.5000000000	-1.699635707	-0.6429804499
+5	-105	2.42429468751661	0.7041435761	-1.633371753	-0.6252250767
+10	-105	2.35943164437389	0.8961507389	-1.546682483	-0.6019967571
+15	-105	2.29038843594209	1.073886156	-1.441772291	-0.5738861558
+20	-105	2.21789960156832	1.235606603	-1.321062530	-0.5415420729
+25	-105	2.14272934408234	1.379980496	-1.187124263	-0.5056534224
+30	-105	2.06567323703816	1.506103654	-1.042622647	-0.4669343310
+35	-105	1.98753905647814	1.613498903	-0.8902412389	-0.4261038557
+40	-105	1.90914021650584	1.702109258	-0.7326180266	-0.3838688433
+45	-105	1.83129405897454	1.772285304	-0.5722853039	-0.3409078197
+
+-45	-100	2.72719621203796	-1.413602247	-1.213602247	-0.3374197065
+-40	-100	2.73804303642916	-1.244141072	-1.378586389	-0.3665108621
+-35	-100	2.73961837576695	-1.055241169	-1.521114576	-0.3916424270
+-30	-100	2.73198266922607	-0.8503381951	-1.638854361	-0.4124031279
+-25	-100	2.71530594930765	-0.6331597138	-1.730068848	-0.4284867029
+-20	-100	2.68986558444353	-0.4076136567	-1.793648027	-0.4396974276
+-15	-100	2.65604418070031	-0.1776759086	-1.829120922	-0.4459522560
+-10	-100	2.61430879003705	0.05272347825	-1.836631206	-0.4472765217
+-5	-100	2.56520346316885	0.2797991311	-1.816907449	-0.4437986912
+-2.84217e-14	-100	2.50935714223807	0.5000000000	-1.771234369	-0.4357452949
+5	-100	2.44746647797469	0.7100941515	-1.701387141	-0.4234293440
+10	-100	2.38029137606661	0.9072389809	-1.609567029	-0.4072389809
+15	-100	2.30865005517485	1.089040098	-1.498327572	-0.3876244635
+20	-100	2.23340675453903	1.253595452	-1.370486488	-0.3650826311
+25	-100	2.15545996994812	1.399523092	-1.229033495	-0.3401406519
+30	-100	2.07573001878357	1.525971928	-1.077035507	-0.3133393055
+35	-100	1.99513420430568	1.632608425	-0.9175324641	-0.2852146156
+40	-100	1.91457319446065	1.719588480	-0.7534489524	-0.2562822654
+45	-100	1.83492032767929	1.787515598	-0.5875155982	-0.2270237380
+
+-45	-95	2.73680467702888	-1.431520582	-1.231520582	-0.1689861543
+-40	-95	2.74941553815913	-1.263334487	-1.401460210	-0.1838539452
+-35	-95	2.75262321957081	-1.074800837	-1.549048677	-0.1967662629
+-30	-95	2.74640422766348	-0.8692774331	-1.671658084	-0.2074931961
+-25	-95	2.73084812431873	-0.6504952763	-1.767245082	-0.2158559748
+-20	-95	2.70617287644747	-0.4224535053	-1.834420176	-0.2217330340
+-15	-95	2.67272082393947	-0.1892941237	-1.872480691	-0.2250628976
+-10	-95	2.63093834095204	0.04482870108	-1.881404712	-0.2258436483
+-5	-95	2.58137369489755	0.2758681146	-1.861839173	-0.2241318854
+-2.84217e-14	-95	2.52468777325914	0.5000000000	-1.815080574	-0.2200410381
+5	-95	2.46162906066729	0.7137348667	-1.743000705	-0.2137348667
+10	-95	2.39302451427433	0.9140104918	-1.647970175	-0.2054207726
+15	-95	2.31977347185527	1.098269078	-1.532770595	-0.1953421153
+20	-95	2.24282514242519	1.264512102	-1.400479737	-0.1837681650
+25	-95	2.16316502493113	1.411332681	-1.254359242	-0.1709842781
+30	-95	2.08179108261356	1.537920609	-1.097731230	-0.1572811027
+35	-95	1.99969024412712	1.644041018	-0.9338598996	-0.1429442190
+40	-95	1.91781658501421	1.729989457	-0.7658443541	-0.1282447635
+45	-95	1.83707487400934	1.796529475	-0.5965294748	-0.1134316310
+
+-45	-90	2.73999034829858	-1.437465756	-1.237465756	-6.231365129e-16
+-40	-90	2.75319580857738	-1.269720153	-1.409070350	-6.783287599e-16
+-35	-90	2.75695658811728	-1.081325335	-1.558366625	-7.263461042e-16
+-30	-90	2.75122044479851	-0.8756102224	-1.682626797	-7.663112235e-16
+-25	-90	2.73604941207558	-0.6563044466	-1.779702888	-7.975332757e-16
+-20	-90	2.71164042166175	-0.4274356457	-1.848108494	-8.195341968e-16
+-15	-90	2.67832078451074	-0.1932004279	-1.887059217	-8.320617045e-16
+-10	-90	2.63652849117589	0.04217163214	-1.896473699	-8.350896330e-16
+-5	-90	2.58681308983160	0.2745443838	-1.876969485	-8.288165993e-16
+-2.84217e-14	-90	2.52984562168782	0.5000000000	-1.829845622	-8.136604089e-16
+5	-90	2.46639277120267	0.7149602939	-1.757007402	-7.902338507e-16
+10	-90	2.39730497345884	0.9162876400	-1.660884524	-7.593183753e-16
+15	-90	2.32350859365414	1.101368275	-1.544336958	-7.218338192e-16
+20	-90	2.24598312931699	1.268171472	-1.410533773	-6.787994327e-16
+25	-90	2.16574417877839	1.415283040	-1.262830814	-6.312945379e-16
+30	-90	2.08381570072157	1.541907850	-1.104637334	-5.804156341e-16
+35	-90	2.00120823104529	1.647845886	-0.9392938135	-5.272371022e-16
+40	-90	1.91889426498329	1.733441458	-0.7699582886	-4.727746436e-16
+45	-90	1.83778877053820	1.799512902	-0.5995129020	-4.179552263e-16
+
+-45	-85	2.73680467702888	-1.431520582	-1.231520582	0.1689861543
+-40	-85	2.74941553815913	-1.263334487	-1.401460210	0.1838539452
+-35	-85	2.75262321957081	-1.074800837	-1.549048677	0.1967662629
+-30	-85	2.74640422766348	-0.8692774331	-1.671658084	0.2074931961
+-25	-85	2.73084812431873	-0.6504952763	-1.767245082	0.2158559748
+-20	-85	2.70617287644747	-0.4224535053	-1.834420176	0.2217330340
+-15	-85	2.67272082393947	-0.1892941237	-1.872480691	0.2250628976
+-10	-85	2.63093834095204	0.04482870108	-1.881404712	0.2258436483
+-5	-85	2.58137369489755	0.2758681146	-1.861839173	0.2241318854
+-2.84217e-14	-85	2.52468777325914	0.5000000000	-1.815080574	0.2200410381
+5	-85	2.46162906066729	0.7137348667	-1.743000705	0.2137348667
+10	-85	2.39302451427433	0.9140104918	-1.647970175	0.2054207726
+15	-85	2.31977347185526	1.098269078	-1.532770595	0.1953421153
+20	-85	2.24282514242519	1.264512102	-1.400479737	0.1837681650
+25	-85	2.16316502493112	1.411332681	-1.254359242	0.1709842781
+30	-85	2.08179108261356	1.537920609	-1.097731230	0.1572811027
+35	-85	1.99969024412712	1.644041018	-0.9338598996	0.1429442190
+40	-85	1.91781658501421	1.729989457	-0.7658443541	0.1282447635
+45	-85	1.83707487400934	1.796529475	-0.5965294748	0.1134316310
+
+-45	-80	2.72719621203796	-1.413602247	-1.213602247	0.3374197065
+-40	-80	2.73804303642916	-1.244141072	-1.378586389	0.3665108621
+-35	-80	2.73961837576695	-1.055241169	-1.521114576	0.3916424270
+-30	-80	2.73198266922607	-0.8503381951	-1.638854361	0.4124031279
+-25	-80	2.71530594930765	-0.6331597138	-1.730068848	0.4284867029
+-20	-80	2.68986558444353	-0.4076136567	-1.793648027	0.4396974276
+-15	-80	2.65604418070031	-0.1776759086	-1.829120922	0.4459522560
+-10	-80	2.61430879003705	0.05272347825	-1.836631206	0.4472765217
+-5	-80	2.56520346316885	0.2797991311	-1.816907449	0.4437986912
+-2.84217e-14	-80	2.50935714223807	0.5000000000	-1.771234369	0.4357452949
+5	-80	2.44746647797469	0.7100941515	-1.701387141	0.4234293440
+10	-80	2.38029137606661	0.9072389809	-1.609567029	0.4072389809
+15	-80	2.30865005517485	1.089040098	-1.498327572	0.3876244635
+20	-80	2.23340675453903	1.253595452	-1.370486488	0.3650826311
+25	-80	2.15545996994812	1.399523092	-1.229033495	0.3401406519
+30	-80	2.07573001878357	1.525971928	-1.077035507	0.3133393055
+35	-80	1.99513420430568	1.632608425	-0.9175324641	0.2852146156
+40	-80	1.91457319446065	1.719588480	-0.7534489524	0.2562822654
+45	-80	1.83492032767929	1.787515598	-0.5875155982	0.2270237380
+
+-45	-75	2.71101478871321	-1.383468282	-1.183468282	0.5046738050
+-40	-75	2.71899053316487	-1.212039620	-1.340329368	0.5467046065
+-35	-75	2.71793785760941	-1.022697536	-1.474637450	0.5826923486
+-30	-75	2.70804950229224	-0.8189784577	-1.584537703	0.6121400325
+-25	-75	2.68961969673995	-0.6045785512	-1.668776347	0.6347117093
+-20	-75	2.66301344868203	-0.3832366778	-1.726672828	0.6502250247
+-15	-75	2.62866872284039	-0.1586466141	-1.758102628	0.6586466141
+-10	-75	2.58707055470713	0.06562847910	-1.763443309	0.6600776454
+-5	-75	2.53874968085446	0.2862184653	-1.743534123	0.6547429948
+-2.84217e-14	-75	2.48428568951907	0.5000000000	-1.699635707	0.6429804499
+5	-75	2.42429468751661	0.7041435761	-1.633371753	0.6252250767
+10	-75	2.35943164437389	0.8961507389	-1.546682483	0.6019967571
+15	-75	2.29038843594209	1.073886156	-1.441772291	0.5738861558
+20	-75	2.21789960156832	1.235606603	-1.321062530	0.5415420729
+25	-75	2.14272934408234	1.379980496	-1.187124263	0.5056534224
+30	-75	2.06567323703816	1.506103654	-1.042622647	0.4669343310
+35	-75	1.98753905647814	1.613498903	-0.8902412389	0.4261038557
+40	-75	1.90914021650584	1.702109258	-0.7326180266	0.3838688433
+45	-75	1.83129405897454	1.772285304	-0.5722853039	0.3409078197
+
+-45	-70	2.68801516742035	-1.340728806	-1.140728806	0.6699704948
+-40	-70	2.69212039497342	-1.166883123	-1.286513951	0.7230319480
+-35	-70	2.68758408821210	-0.9772739399	-1.409765833	0.7678919644
+-30	-70	2.67477537576492	-0.7755227085	-1.509270137	0.8041085694
+-25	-70	2.65412705805181	-0.5652233993	-1.584378952	0.8314459422
+-20	-70	2.62610819951727	-0.3498495206	-1.634942368	0.8498495206
+-15	-70	2.59120477517556	-0.1326915809	-1.661237125	0.8594200297
+-10	-70	2.54991033459132	0.08318028184	-1.663902090	0.8603899974
+-5	-70	2.50272784994824	0.2949364417	-1.643887197	0.8531051722
+-2.84217e-14	-70	2.45016698816015	0.5000000000	-1.602403838	0.8380064645
+5	-70	2.39274024537075	0.6960516118	-1.540880177	0.8156136830
+10	-70	2.33096957768470	0.8810306854	-1.460932399	0.7865150714
+15	-70	2.26539520732328	1.053139022	-1.364342934	0.7513593812
+20	-70	2.19658564131822	1.210849330	-1.253042483	0.7108493300
+25	-70	2.12514094146760	1.352916913	-1.129086223	0.6657329411
+30	-70	2.05169365514015	1.478393129	-0.9946266084	0.6167936436
+35	-70	1.97690856283287	1.586639675	-0.8518822866	0.5648389594
+40	-70	1.90148298406210	1.677343295	-0.7031031011	0.5106877644
+45	-70	1.82614715733283	1.750529282	-0.5505292819	0.4551554357
+
+-45	-65	2.65786620544413	-1.284871270	-1.084871270	0.8322991422
+-40	-65	2.65725924320197	-1.108509967	-1.216947532	0.8938873145
+-35	-65	2.64858887353101	-0.9191597731	-1.326770201	0.9450984662
+-30	-65	2.63241572368486	-0.7204480283	-1.413877993	0.9857174966
+-25	-65	2.60930785006538	-0.5157555886	-1.478294889	1.015755589
+-20	-65	2.57981729242665	-0.3081672703	-1.520421326	1.035399469
+-15	-65	2.54446419496573	-0.1004570908	-1.540936371	1.044965791
+-10	-65	2.50373286811618	0.1049004195	-1.540721068	1.044865394
+-5	-65	2.45807412414258	0.3057050549	-1.520801384	1.035576693
+-2.84217e-14	-65	2.40790676408765	0.5000000000	-1.482304651	1.017625371
+5	-65	2.35362218630399	0.6860386914	-1.426431973	0.9915715135
+10	-65	2.29559914263653	0.8622552030	-1.354451347	0.9580063963
+15	-65	2.23421234435182	1.027242100	-1.267694304	0.9175509227
+20	-65	2.16985036186352	1.179738852	-1.167567146	0.8708608623
+25	-65	2.10293051195986	1.318632198	-1.055562413	0.8186321978
+30	-65	2.03390116835157	1.442963016	-0.9332598537	0.7616015775
+35	-65	1.96325825996590	1.551947765	-0.8023371043	0.7005512968
+40	-65	1.89155880839458	1.645011050	-0.6645710326	0.6363099226
+45	-65	1.81941165056878	1.721813038	-0.5218130384	0.5697407766
+
+-45	-60	2.62016551604532	-1.215300973	-1.015300973	0.9903294785
+-40	-60	2.61422636122707	-1.036796189	-1.131482379	1.057406845
+-35	-60	2.60103871441070	-0.8486708073	-1.226101525	1.112035234
+-30	-60	2.58132755057711	-0.6544047751	-1.299487723	1.154404775
+-25	-60	2.55577054598643	-0.4570174352	-1.352330513	1.184913574
+-20	-60	2.52496620567271	-0.2590719512	-1.385533046	1.204083065
+-15	-60	2.48943376587957	-0.06272312053	-1.400111276	1.212499811
+-10	-60	2.44961656862495	0.1302211041	-1.397120329	1.210772987
+-5	-60	2.40588860102251	0.3182330517	-1.377605726	1.199506225
+-2.84217e-14	-60	2.35856364279276	0.5000000000	-1.342576031	1.179281821
+5	-60	2.30790582641180	0.6743642656	-1.292992676	1.150654858
+10	-60	2.25414554596952	0.8402718049	-1.229777301	1.114157444
+15	-60	2.19749599478793	0.9967321567	-1.153829647	1.070309046
+20	-60	2.13817196636929	1.142791322	-1.066054644	1.019632124
+25	-60	2.07640161399711	1.277516022	-0.9673884892	0.9626671931
+30	-60	2.01244822155350	1.399994205	-0.8588356894	0.8999942049
+35	-60	1.94662551670882	1.509349454	-0.7415004114	0.8322506505
+40	-60	1.87932393401923	1.604777269	-0.6166222793	0.7601522274
+45	-60	1.81100891912577	1.685583637	-0.4855836366	0.6844970317
+
+-45	-55	2.57447070788947	-1.131409325	-0.9314093255	1.142325108
+-40	-55	2.56287780561115	-0.9517292663	-1.030103569	1.211431561
+-35	-55	2.54509981875883	-0.7662961211	-1.108458281	1.266296121
+-30	-55	2.52198808866414	-0.5782383203	-1.167563553	1.307682078
+-25	-55	2.49426450441674	-0.3900307560	-1.208677116	1.336470104
+-20	-55	2.46252093219488	-0.2035873014	-1.233090223	1.353564346
+-15	-55	2.42723029392796	-0.02036823309	-1.242040685	1.359831527
+-10	-55	2.38875902646195	0.1585147074	-1.236659331	1.356063463
+-5	-55	2.34738211457086	0.3322016602	-1.217943800	1.342958707
+-2.84217e-14	-55	2.30329834796757	0.5000000000	-1.186751550	1.321117658
+5	-55	2.25664701509947	0.6613123063	-1.143808098	1.291048329
+10	-55	2.20752279017488	0.8155766478	-1.089724105	1.253178310
+15	-55	2.15599035931866	0.9622177371	-1.025020079	1.207872063
+20	-55	2.10210458307094	1.100609754	-0.9501617365	1.155455687
+25	-55	2.04592594723086	1.230049686	-0.8655966032	1.096242543
+30	-55	1.98753743707585	1.349741931	-0.7717961973	1.030562792
+35	-55	1.92707771905131	1.458803668	-0.6693135467	0.9588036676
+40	-55	1.86474903077905	1.556277727	-0.5588227755	0.8814371967
+45	-55	1.80085648963337	1.641179840	-0.4411798402	0.7990627266
+
+-45	-50	2.52034772517373	-1.032674873	-0.8326748728	1.286066921
+-40	-50	2.50313676192978	-0.8534866057	-0.9130225248	1.353486606
+-35	-50	2.48106390001285	-0.6727594292	-0.9748740411	1.405386190
+-30	-50	2.45501142786936	-0.4930073104	-1.019939114	1.443200276
+-25	-50	2.42566883804737	-0.3159815829	-1.049878151	1.468322112
+-20	-50	2.39355734199055	-0.1428458515	-1.066204461	1.482021512
+-15	-50	2.35905449195324	0.02566735999	-1.070233512	1.485402287
+-10	-50	2.32241842233293	0.1891241055	-1.063064809	1.479387031
+-5	-50	2.28380952072475	0.3472812186	-1.045583659	1.464718604
+-2.84217e-14	-50	2.24331116754275	0.5000000000	-1.018476054	1.441972623
+5	-50	2.20094660078065	0.6471777220	-0.9822490605	1.411574566
+10	-50	2.15669321692415	0.7886921351	-0.9372544574	1.373819611
+15	-50	2.11049370661807	0.9243547807	-0.8837136020	1.328893499
+20	-50	2.06226889516867	1.053870584	-0.8217469241	1.276897283
+25	-50	2.01193789854736	1.176804783	-0.7514125406	1.217879727
+30	-50	1.95943486296202	1.292555636	-0.6727466291	1.151871190
+35	-50	1.90472391985429	1.400332691	-0.5858083377	1.078921302
+40	-50	1.84783246875438	1.499152956	-0.4907441253	0.9991529564
+45	-50	1.78888015186163	1.587854518	-0.3878545178	0.9128183247
+
+-45	-45	2.45743088811669	-0.9187983848	-0.7187983848	1.418798385
+-40	-45	2.43507527190954	-0.7425546384	-0.7808189543	1.480818954
+-35	-45	2.40938546007510	-0.5690747020	-0.8267969048	1.526796905
+-30	-45	2.38116555897932	-0.3999959856	-0.8588387737	1.558838774
+-25	-45	2.35098732171834	-0.2362013660	-0.8787889244	1.578788924
+-20	-45	2.31923678667731	-0.07805485491	-0.8881926611	1.588192661
+-15	-45	2.28615439131105	0.07441684188	-0.8882979690	1.588297969
+-10	-45	2.25186890578983	0.2213897035	-0.8800775094	1.580077509
+-5	-45	2.21642293541685	0.3631452250	-0.8642572358	1.564257236
+-2.84217e-14	-45	2.17979214644078	0.5000000000	-0.8413458083	1.541345808
+5	-45	2.14190041685766	0.6322533235	-0.8116624051	1.511662405
+10	-45	2.10263059088699	0.7601459307	-0.7753608875	1.475360887
+15	-45	2.06183210115486	0.8838240411	-0.7324508227	1.432450823
+20	-45	2.01933142319286	1.003305372	-0.6828201437	1.382820144
+25	-45	1.97493999528041	1.118443795	-0.6262569994	1.326256999
+30	-45	1.92846728526053	1.228892121	-0.5624781871	1.262478187
+35	-45	1.87973817721451	1.334063526	-0.4911661618	1.191166162
+40	-45	1.82861589878535	1.433094428	-0.4120186362	1.112018636
+45	-45	1.77503286565573	1.524815703	-0.3248157028	1.024815703
+
+
+### -z patch
+# N_rho = 19
+# N_sigma = 19
+# ghosted_gfn=-3
+# dpx = dsigma = dnu
+# dpy = 180 - drho = 180 - dmu
+#
+# dpx	dpy	gridfn	global_x	global_y	global_z
+135	45	1.12131015450006	1.147388720	1.347388720	-0.6473887195
+140	45	1.12720907350837	1.075185038	1.385478835	-0.6854788354
+145	45	1.13539137335821	1.003787465	1.419483065	-0.7194830646
+150	45	1.14556607423744	0.9329832775	1.449949036	-0.7499490355
+155	45	1.15753021983906	0.8624755103	1.477331240	-0.7773312403
+160	45	1.17115868078138	0.7919037699	1.501999016	-0.8019990164
+165	45	1.18639305000229	0.7208551194	1.524242527	-0.8242425266
+170	45	1.20323584308969	0.6488691878	1.544279118	-0.8442791182
+175	45	1.22174474500807	0.5754375889	1.562255586	-0.8622555863
+180	45	1.24203125687582	0.5000000000	1.578248724	-0.8782487242
+185	45	1.26426108466191	0.4219372064	1.592261814	-0.8922618143
+190	45	1.28865574680553	0.3405623175	1.604216030	-0.9042160304
+195	45	1.31549777909677	0.2551111590	1.613937597	-0.9139375970
+200	45	1.34513456663275	0.1647338593	1.621136151	-0.9211361510
+205	45	1.37798515627383	0.06848999351	1.625376195	-0.9253761952
+210	45	1.41454403034542	-0.03464738898	1.626036442	-0.9260364418
+215	45	1.45538136529343	-0.1457710587	1.622256650	-0.9222566503
+220	45	1.50113601970573	-0.2659900889	1.612871440	-0.9128714404
+225	45	1.55249003601765	-0.3963305402	1.596330540	-0.8963305402
+
+135	40	1.13917366288394	1.192754746	1.281290252	-0.6927547463
+140	40	1.14505925908537	1.119152095	1.319152095	-0.7378767334
+145	40	1.15342352135362	1.045204946	1.353350963	-0.7786333574
+150	40	1.16402571510568	0.9708271544	1.384282857	-0.8154965530
+155	40	1.17669265814930	0.8958329030	1.412283483	-0.8488663997
+160	40	1.19131470838239	0.8199554507	1.437627628	-0.8790703760
+165	40	1.20784052786293	0.7428592422	1.460528885	-0.9063630311
+170	40	1.22627389621619	0.6641474210	1.481139902	-0.9309262842
+175	40	1.24667101152216	0.5833651300	1.499551017	-0.9528677966
+180	40	1.26913800205905	0.5000000000	1.515786183	-0.9722161140
+185	40	1.29383182817067	0.4134812171	1.529797552	-0.9889142138
+190	40	1.32095917987149	0.3231781307	1.541454692	-1.002806653
+195	40	1.35077843338285	0.2284003814	1.550531169	-1.013623576
+200	40	1.38359958473519	0.1284019448	1.556684865	-1.020957266
+205	40	1.41978243111669	0.02239304174	1.559432213	-1.024231427
+210	40	1.45973315785901	-0.09043541734	1.558117104	-1.022664141
+215	40	1.50389072495364	-0.2108652172	1.551871351	-1.015220743
+220	40	1.55270561233709	-0.3395730832	1.539573083	-1.000564238
+225	40	1.60660146740330	-0.4770071309	1.519806323	-0.9770071309
+
+135	35	1.15898498939648	1.234434039	1.214256250	-0.7344340388
+140	35	1.16521330066399	1.160029224	1.250777787	-0.7865921993
+145	35	1.17403556336079	1.084132956	1.284132956	-0.8342283165
+150	35	1.18527315821297	1.006745827	1.314578821	-0.8777095186
+155	35	1.19879517504281	0.9277672131	1.342335209	-0.9173497489
+160	35	1.21451866977323	0.8470102131	1.367579775	-0.9534027247
+165	35	1.23240863658475	0.7642132089	1.390444628	-0.9860571196
+170	35	1.25247580857042	0.6790478082	1.411012146	-1.015430579
+175	35	1.27477613277709	0.5911250526	1.429311047	-1.041564117
+180	35	1.29940774389792	0.5000000000	1.445309663	-1.064412510
+185	35	1.32651168775308	0.4051767254	1.458909429	-1.083834989
+190	35	1.35626872860938	0.3061144643	1.469933865	-1.099579514
+195	35	1.38889750014786	0.2022375092	1.478115951	-1.111264744
+200	35	1.42465112926803	0.09295109724	1.483082470	-1.118357669
+205	35	1.46380755511882	-0.02233183070	1.484333431	-1.120144226
+210	35	1.50665892925228	-0.1441495106	1.481221326	-1.115699680
+215	35	1.55349152420385	-0.2729285416	1.472928542	-1.103856356
+220	35	1.60455445886761	-0.4088918177	1.458447363	-1.083175089
+225	35	1.66001842116691	-0.5519325485	1.436571100	-1.051932548
+
+135	30	1.18053393539318	1.272840874	1.146199887	-0.7728408742
+140	30	1.18748994277664	1.198076512	1.180318006	-0.8319351905
+145	30	1.19709303421341	1.120707573	1.211799238	-0.8864622838
+150	30	1.20922658057848	1.040782567	1.240782567	-0.9366628817
+155	30	1.22380659706078	0.9582587637	1.267384678	-0.9827390902
+160	30	1.24078381496573	0.8730125929	1.291693772	-1.024843676
+165	30	1.26014477022508	0.7848489512	1.313764189	-1.063070759
+170	30	1.28190976534060	0.6935091327	1.333610066	-1.097444826
+175	30	1.30613430249947	0.5986795673	1.351200652	-1.127912616
+180	30	1.33290567589908	0.5000000000	1.366452838	-1.154330176
+185	30	1.36234285042044	0.3970738286	1.379224603	-1.176451522
+190	30	1.39459041796758	0.2894812962	1.389304778	-1.193910898
+195	30	1.42981388499625	0.1767982574	1.396402969	-1.206205324
+200	30	1.46819331497121	0.05862206717	1.400138760	-1.212675904
+205	30	1.50990876720609	-0.06539074609	1.400028176	-1.212484368
+210	30	1.55512423141796	-0.1954726990	1.395472699	-1.204594050
+215	30	1.60396454172116	-0.3316754923	1.385751071	-1.187755697
+220	30	1.65648355971438	-0.4737785754	1.370017364	-1.160504116
+225	30	1.71262455795604	-0.6211759534	1.347311239	-1.121175953
+
+135	25	1.20369703665195	1.308334240	1.076932446	-0.8083342399
+140	25	1.21177912257953	1.233522257	1.107635796	-0.8741777846
+145	25	1.22251202594172	1.155043109	1.136230119	-0.9354985100
+150	25	1.23583719406899	1.072962338	1.162763664	-0.9923998797
+155	25	1.25171711389680	0.9872704667	1.187270467	-1.044954888
+160	25	1.27013606549396	0.8978895715	1.209764087	-1.093192613
+165	25	1.29110134360282	0.8046814171	1.230232156	-1.137086529
+170	25	1.31464376354957	0.7074563170	1.248631122	-1.176543239
+175	25	1.34081669451651	0.6059829333	1.264880654	-1.211390471
+180	25	1.36969260330661	0.5000000000	1.278857107	-1.241363072
+185	25	1.40136201669632	0.3892313485	1.290388153	-1.266091480
+190	25	1.43592492264700	0.2734050058	1.299244544	-1.285084071
+195	25	1.47348400751046	0.1522788875	1.305133444	-1.297712859
+200	25	1.51413549508868	0.02567387099	1.307692293	-1.303200329
+205	25	1.55795340916078	-0.1064826280	1.306482628	-1.300606193
+210	25	1.60497027613902	-0.2441008620	1.300986869	-1.288820499
+215	25	1.65515437101747	-0.3868603675	1.290610296	-1.266567866
+220	25	1.70838133328640	-0.5341288338	1.274690033	-1.232426753
+225	25	1.76440230157448	-0.6848718988	1.252514840	-1.184871899
+
+135	20	1.22842366148329	1.341213564	1.006176698	-0.8412135643
+140	20	1.23803322813607	1.266554385	1.032502803	-0.9135439424
+145	20	1.25026055485639	1.187225878	1.057222324	-0.9814602684
+150	20	1.26509668266133	1.103287873	1.080321687	-1.044925248
+155	20	1.28254299335355	1.014743559	1.101776232	-1.103871124
+160	20	1.30261308115612	0.9215458840	1.121545884	-1.158187798
+165	20	1.32533282605726	0.8236050385	1.139570654	-1.207710445
+170	20	1.35074025596373	0.7207980277	1.155766381	-1.252207841
+175	20	1.37888245193062	0.6129801397	1.170019843	-1.291368906
+180	20	1.40981257063849	0.5000000000	1.182184297	-1.324790469
+185	20	1.44358704897929	0.3817182232	1.192075708	-1.351966896
+190	20	1.48025545081052	0.2580308408	1.199467360	-1.372275294
+195	20	1.51985194389201	0.1288994454	1.204086445	-1.384966124
+200	20	1.56238468885260	-0.005612022764	1.205612023	-1.389157616
+205	20	1.60782085529884	-0.1452925423	1.203674503	-1.383834323
+210	20	1.65606762804324	-0.2897305641	1.197857945	-1.367853461
+215	20	1.70695175810438	-0.4382535639	1.187707359	-1.339964957
+220	20	1.76019732598897	-0.5898632996	1.172742194	-1.298848503
+225	20	1.81540307014213	-0.7431718268	1.152477541	-1.243171827
+
+135	15	1.25472817652456	1.371718123	0.9335761670	-0.8717181228
+140	15	1.26626069023167	1.297313725	0.9546057237	-0.9502014967
+145	15	1.28035244284663	1.217304667	0.9744917695	-1.024417230
+150	15	1.29703026503579	1.131729581	0.9931867191	-1.094187732
+155	15	1.31632359948357	1.040590484	1.010633508	-1.159300035
+160	15	1.33826753811892	0.9438606853	1.026763293	-1.219497210
+165	15	1.36289903791433	0.8414918087	1.041491809	-1.274464780
+170	15	1.39025727748749	0.7334254731	1.054716940	-1.323821642
+175	15	1.42037833561285	0.6196063805	1.066315266	-1.367107185
+180	15	1.45329169712857	0.5000000000	1.076139569	-1.403771983
+185	15	1.48901572263362	0.3746138429	1.084016834	-1.433170334
+190	15	1.52754646104324	0.2435235470	1.089745564	-1.454550245
+195	15	1.56884871901449	0.1069048611	1.093095139	-1.467051031
+200	15	1.61284524377913	-0.03492935820	1.093806625	-1.469706333
+205	15	1.65940284637402	-0.1814869753	1.091595294	-1.461453535
+210	15	1.70831646480146	-0.3320500102	1.086155754	-1.441152892
+215	15	1.75929294712628	-0.4856263002	1.077170706	-1.407620236
+220	15	1.81193519245165	-0.6409031408	1.064323930	-1.359675417
+225	15	1.86572811875288	-0.7962082495	1.047317954	-1.296208250
+
+135	10	1.28268567145627	1.400026985	0.8586990408	-0.9000269847
+140	10	1.29652713185266	1.325891409	0.8735514273	-0.9842590542
+145	10	1.31284888697883	1.245285057	0.8876784478	-1.064377369
+150	10	1.33169718902595	1.158218516	0.9010247328	-1.140067912
+155	10	1.35311830153734	1.064687433	0.9135277610	-1.210976109
+160	10	1.37715655443356	0.9646797608	0.9251161537	-1.276697150
+165	10	1.40385129993349	0.8581853842	0.9357079219	-1.336766052
+170	10	1.43323514973222	0.7452091486	0.9452091486	-1.390650187
+175	10	1.46532712994628	0.6257858536	0.9535121567	-1.437738886
+180	10	1.50012867878241	0.5000000000	0.9604946113	-1.477338353
+185	10	1.53761765088628	0.3680086209	0.9660189380	-1.508668367
+190	10	1.57773744418335	0.2300682617	0.9699317383	-1.530858960
+195	10	1.62038766484756	0.08656648445	0.9720645763	-1.542954886
+200	10	1.66541393317572	-0.06194348096	0.9722359907	-1.543927025
+205	10	1.71259603502053	-0.2147057713	0.9702548597	-1.532691473
+210	10	1.76163546755213	-0.3707242855	0.9659255438	-1.508138702
+215	10	1.81214379109014	-0.5287274511	0.9590552022	-1.469175059
+220	10	1.86363268129997	-0.6871392305	0.9494634349	-1.414777443
+225	10	1.91550868435325	-0.8440623402	0.9369944543	-1.344062340
+
+135	5	1.31242457633800	1.426253562	0.7810366863	-0.9262535625
+140	5	1.32894948144604	1.352320219	0.7888671071	-1.015755683
+145	5	1.34785510451434	1.271120193	0.7963489700	-1.101273766
+150	5	1.36919173908959	1.182639260	0.8034436108	-1.182365882
+155	5	1.39300851837637	1.086868858	0.8101083612	-1.258544328
+160	5	1.41934601752523	0.9838126642	0.8162955632	-1.329264370
+165	5	1.44823636546761	0.8734998461	0.8219522331	-1.393920402
+170	5	1.47969679921800	0.7559982131	0.8270193673	-1.451838012
+175	5	1.51372330901012	0.6314314390	0.8314314390	-1.502268222
+180	5	1.55028702921133	0.5000000000	0.8351164175	-1.544387719
+185	5	1.58932622817277	0.3620042171	0.8379957829	-1.577299016
+190	5	1.63073586645633	0.2178709394	0.8399847848	-1.600033412
+195	5	1.67435855501339	0.06818328999	0.8409933969	-1.611561901
+200	5	1.71997590735510	-0.08628841435	0.8409279798	-1.610814180
+205	5	1.76729847066325	-0.2445557020	0.8396935739	-1.596704856
+210	5	1.81595632456421	-0.4053831150	0.8371970586	-1.568169556
+215	5	1.86549165626264	-0.5672647826	0.8333512771	-1.524212072
+220	5	1.91535313336371	-0.7284095250	0.8280800320	-1.463961465
+225	5	1.96489589941447	-0.8867401294	0.8213240406	-1.386740129
+
+135	-2.84217e-14	1.34412646786331	1.450440940	0.7000000000	-0.9504409402
+140	-2.84217e-14	1.36369234635333	1.376564544	0.7000000000	-1.044648944
+145	-2.84217e-14	1.38551426130560	1.294698333	0.7000000000	-1.134946840
+150	-2.84217e-14	1.40963292438409	1.204816462	0.7000000000	-1.220777923
+155	-2.84217e-14	1.43608482177506	1.106915671	0.7000000000	-1.301534857
+160	-2.84217e-14	1.46489544730856	1.001023751	0.7000000000	-1.376551442
+165	-2.84217e-14	1.49607924652583	0.8872138020	0.7000000000	-1.445101582
+170	-2.84217e-14	1.52963021370010	0.7656174991	0.7000000000	-1.506391694
+175	-2.84217e-14	1.56551810177186	0.6364438929	0.7000000000	-1.559560833
+180	-2.84217e-14	1.60368353465141	0.5000000000	0.7000000000	-1.603683535
+185	-2.84217e-14	1.64402814176454	0.3567135062	0.7000000000	-1.637772118
+190	-2.84217e-14	1.68640617664223	0.2071586406	0.7000000000	-1.660785877
+195	-2.84217e-14	1.73061624369059	0.05208355637	0.7000000000	-1.671646925
+200	-2.84217e-14	1.77639259828903	-0.1075620511	0.7000000000	-1.669263016
+205	-2.84217e-14	1.82339683944297	-0.2706008027	0.7000000000	-1.652558754
+210	-2.84217e-14	1.87121038681157	-0.4356051934	0.7000000000	-1.620515731
+215	-2.84217e-14	1.91932978467560	-0.6008823381	0.7000000000	-1.572222917
+220	-2.84217e-14	1.96716547775931	-0.7644695953	0.7000000000	-1.506936183
+225	-2.84217e-14	2.01404286578862	-0.9241433680	0.7000000000	-1.424143368
+
+135	-5	1.37802830107508	1.472553887	0.6149125602	-0.9725538870
+140	-5	1.40097111108230	1.398511208	0.6063167927	-1.070803960
+145	-5	1.42601160169580	1.315834237	0.5980641550	-1.165132039
+150	-5	1.45316753305906	1.224507154	0.5902119459	-1.254883200
+155	-5	1.48244957180886	1.124550012	0.5828218990	-1.339351824
+160	-5	1.51385865222731	1.016029198	0.5759604477	-1.417778570
+165	-5	1.54738256818524	0.8990696304	0.5696989220	-1.489348136
+170	-5	1.58298794637377	0.7738683262	0.5641139675	-1.553184459
+175	-5	1.62061766940994	0.6407127122	0.5592872878	-1.608353660
+180	-5	1.66018362863823	0.5000000000	0.5553054627	-1.653866129
+185	-5	1.70155851349282	0.3522594700	0.5522594700	-1.688681985
+190	-5	1.74456754419778	0.1981772386	0.5502437352	-1.711721939
+195	-5	1.78897994233019	0.03862245894	0.5493546329	-1.721884425
+200	-5	1.83450085459679	-0.1253265482	0.5496883019	-1.718070571
+205	-5	1.88076373840629	-0.2923581607	0.5513377267	-1.699217559
+210	-5	1.92732361914048	-0.4609076156	0.5543890467	-1.664340812
+215	-5	1.97365297044284	-0.6291448565	0.5589170081	-1.612585976
+220	-5	2.01914173961656	-0.7949742280	0.5649796040	-1.543290189
+225	-5	2.06310175123799	-0.9560496514	0.5726121620	-1.456049651
+
+135	-10	1.41441950331037	1.492461169	0.5250023186	-0.9924611687
+140	-10	1.44104412315347	1.417949137	0.5071037172	-1.093969182
+145	-10	1.46956130609363	1.334248399	0.4899187122	-1.191430188
+150	-10	1.49995418230278	1.241382969	0.4735762370	-1.284112971
+155	-10	1.53219820865889	1.139421603	0.4582126763	-1.371244053
+160	-10	1.56626282530312	1.028487943	0.4439716917	-1.452008690
+165	-10	1.60210494061853	0.9087687732	0.4310051098	-1.525545830
+170	-10	1.63966442536099	0.7805266936	0.4194733064	-1.590945938
+175	-10	1.67885962780044	0.6441157998	0.4095451818	-1.647251130
+180	-10	1.71958091281282	0.5000000000	0.4013979081	-1.693456615
+185	-10	1.76168274538885	0.3487745409	0.3952161854	-1.728514907
+190	-10	1.80497462156061	0.1911907371	0.3911907371	-1.751344359
+195	-10	1.84921286487283	0.02818292048	0.3895154625	-1.760845313
+200	-10	1.89409222329463	-0.1391040426	0.3903832358	-1.755923926
+205	-10	1.93923758978523	-0.3092885123	0.3939801494	-1.735524815
+210	-10	1.98419694443515	-0.4807298381	0.4004779586	-1.698673908
+215	-10	2.02843634051740	-0.6515135590	0.4100246741	-1.644531794
+220	-10	2.07133863561698	-0.8194485044	0.4227333176	-1.572457495
+225	-10	2.11221013305239	-0.9820826016	0.4386688497	-1.482082602
+
+135	-15	1.45364950842872	1.509918040	0.4293932768	-1.009918040
+140	-15	1.48421753270691	1.434552434	0.4015699200	-1.113756221
+145	-15	1.51640870548236	1.349552830	0.3749006797	-1.213287181
+150	-15	1.55016217584153	1.255019624	0.3495941732	-1.307732349
+155	-15	1.58541421782329	1.151101173	0.3258649617	-1.396290972
+160	-15	1.62210164168102	1.037999410	0.3039332507	-1.478141232
+165	-15	1.66015323821721	0.9159726556	0.2840273444	-1.552431085
+170	-15	1.69948759246873	0.7853455268	0.2663845478	-1.618274898
+175	-15	1.74000632036487	0.6465214252	0.2512527455	-1.674747554
+180	-15	1.78158979963418	0.5000000000	0.2388906293	-1.720883599
+185	-15	1.82408724598902	0.3463983378	0.2295682929	-1.755675032
+190	-15	1.86730765628270	0.1864773304	0.2235661282	-1.778075416
+195	-15	1.91101132912327	0.02117163700	0.2211716370	-1.787011779
+200	-15	1.95490006200531	-0.1483780385	0.2226742315	-1.781404020
+205	-15	1.99860725892971	-0.3207921414	0.2283573246	-1.760194428
+210	-15	2.04168916356350	-0.4944220081	0.2384871399	-1.722389442
+215	-15	2.08361821773966	-0.6673262934	0.2532979573	-1.667114719
+220	-15	2.12377949805661	-0.8372590310	0.2729738590	-1.593683254
+225	-15	2.16147558244156	-1.001677792	0.2976266485	-1.501677792
+
+135	-20	1.49612489721511	1.524532982	0.3271004904	-1.024532982
+140	-20	1.53083362639536	1.447847927	0.2888587966	-1.129601173
+145	-20	1.56681072603617	1.361222785	0.2523334985	-1.229953604
+150	-20	1.60394875637218	1.264876588	0.2178103733	-1.324805111
+155	-20	1.64214776853724	1.159069513	0.1855720661	-1.413379132
+160	-20	1.68131741995008	1.044100507	0.1558994928	-1.494903857
+165	-20	1.72136736184920	0.9203043495	0.1290773144	-1.568597187
+170	-20	1.76220604371438	0.7880580609	0.1053969535	-1.633658444
+175	-20	1.80373345938052	0.6477907402	0.08516113784	-1.689255890
+180	-20	1.84583503139624	0.5000000000	0.06868723801	-1.734517558
+185	-20	1.88837016687645	0.3452744649	0.05631101220	-1.768520959
+190	-20	1.93116336674228	0.1843234214	0.04838742309	-1.790290841
+195	-20	1.97399441487393	0.01801198461	0.04528897331	-1.798803762
+200	-20	2.01658705392471	-0.1525989833	0.04740101674	-1.793000970
+205	-20	2.05859695315921	-0.3262097467	0.05511298219	-1.771812520
+210	-20	2.09960027786302	-0.5012384058	0.06880435228	-1.734195789
+215	-20	2.13908426979513	-0.6757821684	0.08882447285	-1.679190960
+220	-20	2.17644055434386	-0.8475890736	0.1154659440	-1.605994120
+225	-20	2.21096538247180	-1.014049369	0.1489310963	-1.514049369
+
+135	-25	1.54231296956364	1.535729377	0.2170314597	-1.035729377
+140	-25	1.58127045307987	1.457185224	0.1680693642	-1.140728930
+145	-25	1.62102971296603	1.368575785	0.1215664384	-1.240454776
+150	-25	1.66144522887210	1.270283939	0.07786588306	-1.334170919
+155	-25	1.70239417572510	1.162710764	0.03728923631	-1.421187819
+160	-25	1.74377422755812	1.046263978	0.0001431093223	-1.500847945
+165	-25	1.78549358006647	0.9213509008	-0.03327017728	-1.572502970
+170	-25	1.82746843925395	0.7883822084	-0.06264467142	-1.635496776
+175	-25	1.86961434878169	0.6477809858	-0.08766096793	-1.689144397
+180	-25	1.91183927272976	0.5000000000	-0.1079781902	-1.732714820
+185	-25	1.95403027748902	0.3455464782	-0.1232250575	-1.765411833
+190	-25	1.99604258815095	0.1850160816	-0.1329945465	-1.786362570
+195	-25	2.03768924918871	0.01913453491	-0.1368424136	-1.794614347
+200	-25	2.07872790388267	-0.1511933464	-0.1342892241	-1.789139015
+205	-25	2.11884662022013	-0.3248280462	-0.1248280462	-1.768849453
+210	-25	2.15764952004809	-0.5003355773	-0.1079395911	-1.732632044
+215	-25	2.19464341466494	-0.6759279372	-0.08311667986	-1.679399140
+220	-25	2.22922560495594	-0.8494097776	-0.04989916562	-1.608163950
+225	-25	2.26067995180054	-1.018143648	-0.007922009337	-1.518143648
+
+135	-30	1.59273447484772	1.542689470	0.09800295357	-1.042689470
+140	-30	1.63591746662645	1.461688615	0.03830124572	-1.146095862
+145	-30	1.67930435940915	1.370740121	-0.01796148441	-1.243545769
+150	-30	1.72273006395206	1.270428306	-0.07042830598	-1.334420970
+155	-30	1.76607083377880	1.161311549	-0.1187907584	-1.418187194
+160	-30	1.80923978953950	1.043905568	-0.1627739202	-1.494368265
+165	-30	1.85216943113428	0.9186729433	-0.2021148164	-1.562508696
+170	-30	1.89480715915200	0.7860283149	-0.2365471122	-1.622147182
+175	-30	1.93710500190317	0.6463499451	-0.2657843292	-1.672787527
+180	-30	1.97901072478424	0.5000000000	-0.2895053624	-1.713873562
+185	-30	2.02045499137190	0.3473528916	-0.3073402147	-1.744764432
+190	-30	2.06133764705656	0.1888332775	-0.3188582048	-1.764714176
+195	-30	2.10151603604497	0.02496359700	-0.3235611933	-1.772859991
+200	-30	2.14079057046581	-0.1435785444	-0.3208808603	-1.768217519
+205	-30	2.17888861997655	-0.3158926481	-0.3101825089	-1.749687430
+210	-30	2.21544712790264	-0.4907780757	-0.2907780757	-1.716077966
+215	-30	2.24999445553133	-0.6666500087	-0.2619515070	-1.666148885
+220	-30	2.28193099408715	-0.8414534056	-0.2229994342	-1.598681915
+225	-30	2.31052205709052	-1.012591746	-0.1732952517	-1.512591746
+
+135	-35	1.64795281262699	1.544286726	-0.03121743752	-1.044286726
+140	-35	1.69515710161842	1.460213230	-0.1012737902	-1.144337566
+145	-35	1.74181826196165	1.366629156	-0.1666291563	-1.237674702
+150	-35	1.78778963286741	1.264342742	-0.2269910802	-1.323880463
+155	-35	1.83298238260552	1.154064833	-0.2821436948	-1.402646560
+160	-35	1.87735748167064	1.036395393	-0.3319198181	-1.473734231
+165	-35	1.92090397472946	0.9118181162	-0.3761672641	-1.536926133
+170	-35	1.96362683142765	0.7807104759	-0.4147221512	-1.591988218
+175	-35	2.00553632877127	0.6433621157	-0.4473856164	-1.638636481
+180	-35	2.04663674480702	0.5000000000	-0.4739026106	-1.676506673
+185	-35	2.08691419496819	0.3508207356	-0.4939426355	-1.705126795
+190	-35	2.12632370199372	0.1960311763	-0.5070827783	-1.723892864
+195	-35	2.16477502343097	0.03589893930	-0.5127935832	-1.732048738
+200	-35	2.20211764557423	-0.1291853163	-0.5104294800	-1.728672449
+205	-35	2.23812305862247	-0.2986315622	-0.4992250832	-1.712670912
+210	-35	2.27246413518580	-0.4715580827	-0.4783008161	-1.682787962
+215	-35	2.30469155811424	-0.6466827190	-0.4466827190	-1.637632639
+220	-35	2.33420900877275	-0.8222009743	-0.4033434587	-1.575737761
+225	-35	2.36025710725089	-0.9956648928	-0.3472758325	-1.495664893
+
+135	-40	1.70854108453996	1.538998692	-0.1718234191	-1.038998692
+140	-40	1.75931895701369	1.451292266	-0.2512922664	-1.133705976
+145	-40	1.80865571383482	1.354922778	-0.3245039489	-1.220956262
+150	-40	1.85647846298819	1.250911651	-0.3913473558	-1.300617132
+155	-40	1.90278311451926	1.140085717	-0.4518054223	-1.372668250
+160	-40	1.94761744453810	1.023078254	-0.5059084189	-1.437145691
+165	-40	1.99105850829120	0.9003400692	-0.5536899305	-1.494089479
+170	-40	2.03319382369333	0.7721606678	-0.5951501525	-1.543499847
+175	-40	2.07411002343196	0.6386961357	-0.6302280735	-1.585304086
+180	-40	2.11388161778686	0.5000000000	-0.6587769123	-1.619327267
+185	-40	2.15255833822644	0.3560580104	-0.6805408098	-1.645264470
+190	-40	2.19015539687444	0.2068286612	-0.6951351136	-1.662657284
+195	-40	2.22663960242495	0.05229188449	-0.7020259259	-1.670869434
+200	-40	2.26191354086749	-0.1074898272	-0.7005114759	-1.669064583
+205	-40	2.29579666332421	-0.2722933015	-0.6897070167	-1.656188330
+210	-40	2.32800175644635	-0.4416342167	-0.6685365125	-1.630958305
+215	-40	2.35810608933711	-0.6146392284	-0.6357373556	-1.591869792
+220	-40	2.38552033746014	-0.7898894992	-0.5898894992	-1.537230445
+225	-40	2.40945772594907	-0.9652404019	-0.5294826808	-1.465240402
+
+135	-45	1.77503309871376	1.524815837	-0.3248158374	-1.024815837
+140	-45	1.82861647934462	1.433094724	-0.4120189893	-1.112018989
+145	-45	1.87973866934506	1.334063744	-0.4911664736	-1.191166474
+150	-45	1.92846764466055	1.228892257	-0.5624784224	-1.262478422
+155	-45	1.97494033371188	1.118443901	-0.6262572266	-1.326257227
+160	-45	2.01933163029717	1.003305423	-0.6828202855	-1.382820286
+165	-45	2.06183220623889	0.8838240607	-0.7324508957	-1.432450896
+170	-45	2.10263064686392	0.7601459377	-0.7753609267	-1.475360927
+175	-45	2.14190045331083	0.6322533258	-0.8116624309	-1.511662431
+180	-45	2.17979216869931	0.5000000000	-0.8413458241	-1.541345824
+185	-45	2.21642293986490	0.3631452248	-0.8642572389	-1.564257239
+190	-45	2.25186889283919	0.2213897051	-0.8800775003	-1.580077500
+195	-45	2.28615437980806	0.07441684402	-0.8882979610	-1.588297961
+200	-45	2.31923679265407	-0.07805485640	-0.8881926652	-1.588192665
+205	-45	2.35098741226186	-0.2362013944	-0.8787889852	-1.578788985
+210	-45	2.38116585220616	-0.3999960965	-0.8588389657	-1.558838966
+215	-45	2.40938603626384	-0.5690749577	-0.8267972699	-1.526797270
+220	-45	2.43507598404417	-0.7425550017	-0.7808193873	-1.480819387
+225	-45	2.45743130283232	-0.9187986242	-0.7187986242	-1.418798624
 
 
diff --git a/test/recoverML/phi.x.asc b/test/recoverML/phi.x.asc
index 06531c2..1f6a6ad 100644
--- a/test/recoverML/phi.x.asc
+++ b/test/recoverML/phi.x.asc
@@ -1,54 +1,66 @@
 # 1D ASCII output created by CarpetIOASCII
-# created on linux-hn3d.site by diener on Apr 11 2011 at 13:38:27-0500
-# parameter filename: "recoverML.par"
+# created on horizon.tapir.caltech.edu by rhaas on Oct 18 2011 at 10:43:15-0700
+# parameter filename: "/home/rhaas/ET_2011_10/arrangements/EinsteinAnalysis/AHFinderDirect/test/recoverML.par"
 #
 # phi x (phi)
 #
 # 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	-5.55861217568079e-06
-1	0 0 0 0	8 15 3	0.05	1 0 0	0.0128540488306166
-1	0 0 0 0	9 15 3	0.05	1.2 0 0	0.100181376469298
-1	0 0 0 0	10 15 3	0.05	1.4 0 0	0.0790557964651063
-1	0 0 0 0	11 15 3	0.05	1.6 0 0	0.0711580039993047
-1	0 0 0 0	12 15 3	0.05	1.8 0 0	0.064890882841865
-1	0 0 0 0	13 15 3	0.05	2 0 0	0.0597530390392576
-1	0 0 0 0	14 15 3	0.05	2.2 0 0	0.0554334185974614
-1	0 0 0 0	15 15 3	0.05	2.4 0 0	0.051725428933196
-1	0 0 0 0	16 15 3	0.05	2.6 0 0	0.0483718099653047
-1	0 0 0 0	17 15 3	0.05	2.8 0 0	0.0455714836620408
-1	0 0 0 0	18 15 3	0.05	3 0 0	0.0431061011045797
+1	0 0 0 0	0 15 3	0.0394736842105263	-0.473684210526316 -0.483870967741935 0	0
+1	0 0 0 0	1 15 3	0.0394736842105263	-0.315789473684211 -0.483870967741935 0	0
+1	0 0 0 0	2 15 3	0.0394736842105263	-0.157894736842105 -0.483870967741935 0	0
+1	0 0 0 0	3 15 3	0.0394736842105263	0 -0.483870967741935 0	0
+1	0 0 0 0	4 15 3	0.0394736842105263	0.157894736842105 -0.483870967741935 0	0
+1	0 0 0 0	5 15 3	0.0394736842105263	0.315789473684211 -0.483870967741935 0	0
+1	0 0 0 0	6 15 3	0.0394736842105263	0.473684210526316 -0.483870967741935 0	0
+1	0 0 0 0	7 15 3	0.0394736842105263	0.631578947368421 -0.483870967741935 0	-7.40375010411016e-06
+1	0 0 0 0	8 15 3	0.0394736842105263	0.789473684210526 -0.483870967741935 0	0.0151457324276279
+1	0 0 0 0	9 15 3	0.0394736842105263	0.947368421052632 -0.483870967741935 0	0.112868399289613
+1	0 0 0 0	10 15 3	0.0394736842105263	1.10526315789474 -0.483870967741935 0	0.0890419129074121
+1	0 0 0 0	11 15 3	0.0394736842105263	1.26315789473684 -0.483870967741935 0	0.0812971297986024
+1	0 0 0 0	12 15 3	0.0394736842105263	1.42105263157895 -0.483870967741935 0	0.0748473307733053
+1	0 0 0 0	13 15 3	0.0394736842105263	1.57894736842105 -0.483870967741935 0	0.0694410741152728
+1	0 0 0 0	14 15 3	0.0394736842105263	1.73684210526316 -0.483870967741935 0	0.0648253123682569
+1	0 0 0 0	15 15 3	0.0394736842105263	1.89473684210526 -0.483870967741935 0	0.0608269454398068
+1	0 0 0 0	16 15 3	0.0394736842105263	2.05263157894737 -0.483870967741935 0	0.0573225080946936
+1	0 0 0 0	17 15 3	0.0394736842105263	2.21052631578947 -0.483870967741935 0	0.0542209531317046
+1	0 0 0 0	18 15 3	0.0394736842105263	2.36842105263158 -0.483870967741935 0	0.0514532311084082
+1	0 0 0 0	19 15 3	0.0394736842105263	2.52631578947368 -0.483870967741935 0	0.0489670607680479
+1	0 0 0 0	20 15 3	0.0394736842105263	2.68421052631579 -0.483870967741935 0	0.0467168508133608
+1	0 0 0 0	21 15 3	0.0394736842105263	2.84210526315789 -0.483870967741935 0	0.0446660803316797
+1	0 0 0 0	22 15 3	0.0394736842105263	3 -0.483870967741935 0	0.0427104936735176
+1	0 0 0 0	23 15 3	0.0394736842105263	3.1578947368421 -0.483870967741935 0	0.0409962142110493
+1	0 0 0 0	24 15 3	0.0394736842105263	3.31578947368421 -0.483870967741935 0	0.0394253579982644
 
 
 # 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	-1.52551340518053e-05
-2	0 0 0 0	1 15 3	0.1	-0.4 0 0	-1.56463457918388e-11
-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	-1.56463457918388e-11
-2	0 0 0 0	6 15 3	0.1	0.6 0 0	-1.52551340518053e-05
-2	0 0 0 0	7 15 3	0.1	0.8 0 0	-0.00174909598240902
-2	0 0 0 0	8 15 3	0.1	1 0 0	0.00890513114310638
-2	0 0 0 0	9 15 3	0.1	1.2 0 0	0.108630484538545
-2	0 0 0 0	10 15 3	0.1	1.4 0 0	0.079298977658356
-2	0 0 0 0	11 15 3	0.1	1.6 0 0	0.0712882364935016
-2	0 0 0 0	12 15 3	0.1	1.8 0 0	0.0649721907407639
-2	0 0 0 0	13 15 3	0.1	2 0 0	0.059809781318694
-2	0 0 0 0	14 15 3	0.1	2.2 0 0	0.0554786954554395
-2	0 0 0 0	15 15 3	0.1	2.4 0 0	0.0516924553239299
-2	0 0 0 0	16 15 3	0.1	2.6 0 0	0.0482476621787032
-2	0 0 0 0	17 15 3	0.1	2.8 0 0	0.0453957025376565
-2	0 0 0 0	18 15 3	0.1	3 0 0	0.0429550477180071
+2	0 0 0 0	0 15 3	0.0789473684210526	-0.473684210526316 -0.483870967741935 0	-5.66831058551198e-06
+2	0 0 0 0	1 15 3	0.0789473684210526	-0.315789473684211 -0.483870967741935 0	-3.63141454888158e-07
+2	0 0 0 0	2 15 3	0.0789473684210526	-0.157894736842105 -0.483870967741935 0	-3.59810299186002e-07
+2	0 0 0 0	3 15 3	0.0789473684210526	0 -0.483870967741935 0	-3.49888220107942e-07
+2	0 0 0 0	4 15 3	0.0789473684210526	0.157894736842105 -0.483870967741935 0	-3.36110826907832e-07
+2	0 0 0 0	5 15 3	0.0789473684210526	0.315789473684211 -0.483870967741935 0	-3.21225055415226e-07
+2	0 0 0 0	6 15 3	0.0789473684210526	0.473684210526316 -0.483870967741935 0	-5.98682619526191e-06
+2	0 0 0 0	7 15 3	0.0789473684210526	0.631578947368421 -0.483870967741935 0	-0.000613975144875236
+2	0 0 0 0	8 15 3	0.0789473684210526	0.789473684210526 -0.483870967741935 0	0.0248939770534232
+2	0 0 0 0	9 15 3	0.0789473684210526	0.947368421052632 -0.483870967741935 0	0.124975691342409
+2	0 0 0 0	10 15 3	0.0789473684210526	1.10526315789474 -0.483870967741935 0	0.0891194753661384
+2	0 0 0 0	11 15 3	0.0789473684210526	1.26315789473684 -0.483870967741935 0	0.0815118149090682
+2	0 0 0 0	12 15 3	0.0789473684210526	1.42105263157895 -0.483870967741935 0	0.0749931673482769
+2	0 0 0 0	13 15 3	0.0789473684210526	1.57894736842105 -0.483870967741935 0	0.0695396519424948
+2	0 0 0 0	14 15 3	0.0789473684210526	1.73684210526316 -0.483870967741935 0	0.0648939449801991
+2	0 0 0 0	15 15 3	0.0789473684210526	1.89473684210526 -0.483870967741935 0	0.060876050668897
+2	0 0 0 0	16 15 3	0.0789473684210526	2.05263157894737 -0.483870967741935 0	0.0573585438861366
+2	0 0 0 0	17 15 3	0.0789473684210526	2.21052631578947 -0.483870967741935 0	0.0542478224474708
+2	0 0 0 0	18 15 3	0.0789473684210526	2.36842105263158 -0.483870967741935 0	0.0514740622287325
+2	0 0 0 0	19 15 3	0.0789473684210526	2.52631578947368 -0.483870967741935 0	0.0489844452730969
+2	0 0 0 0	20 15 3	0.0789473684210526	2.68421052631579 -0.483870967741935 0	0.0467370552728994
+2	0 0 0 0	21 15 3	0.0789473684210526	2.84210526315789 -0.483870967741935 0	0.0446545844130592
+2	0 0 0 0	22 15 3	0.0789473684210526	3 -0.483870967741935 0	0.042645354104408
+2	0 0 0 0	23 15 3	0.0789473684210526	3.1578947368421 -0.483870967741935 0	0.0408971973579993
+2	0 0 0 0	24 15 3	0.0789473684210526	3.31578947368421 -0.483870967741935 0	0.0393360805795609
 
 
diff --git a/test/recoverML/phi.y.asc b/test/recoverML/phi.y.asc
index 6ff2591..726df9a 100644
--- a/test/recoverML/phi.y.asc
+++ b/test/recoverML/phi.y.asc
@@ -1,78 +1,88 @@
 # 1D ASCII output created by CarpetIOASCII
-# created on linux-hn3d.site by diener on Apr 11 2011 at 13:38:27-0500
-# parameter filename: "recoverML.par"
+# created on horizon.tapir.caltech.edu by rhaas on Oct 18 2011 at 10:43:15-0700
+# parameter filename: "/home/rhaas/ET_2011_10/arrangements/EinsteinAnalysis/AHFinderDirect/test/recoverML.par"
 #
 # phi y (phi)
 #
 # 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	0.043106101104579
-1	0 0 0 0	3 1 3	0.05	0 -2.8 0	0.045571483662028
-1	0 0 0 0	3 2 3	0.05	0 -2.6 0	0.0483718099653387
-1	0 0 0 0	3 3 3	0.05	0 -2.4 0	0.0517254289333582
-1	0 0 0 0	3 4 3	0.05	0 -2.2 0	0.0554334185977719
-1	0 0 0 0	3 5 3	0.05	0 -2 0	0.0597530390392624
-1	0 0 0 0	3 6 3	0.05	0 -1.8 0	0.0648908828424791
-1	0 0 0 0	3 7 3	0.05	0 -1.6 0	0.0711580039990124
-1	0 0 0 0	3 8 3	0.05	0 -1.4 0	0.0790557964653602
-1	0 0 0 0	3 9 3	0.05	0 -1.2 0	0.10018137646976
-1	0 0 0 0	3 10 3	0.05	0 -1 0	0.0128540488306257
-1	0 0 0 0	3 11 3	0.05	0 -0.8 0	-5.55861217568079e-06
-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	-5.55861217568079e-06
-1	0 0 0 0	3 20 3	0.05	0 1 0	0.0128540488306539
-1	0 0 0 0	3 21 3	0.05	0 1.2 0	0.100181376469254
-1	0 0 0 0	3 22 3	0.05	0 1.4 0	0.0790557964652248
-1	0 0 0 0	3 23 3	0.05	0 1.6 0	0.0711580039995225
-1	0 0 0 0	3 24 3	0.05	0 1.8 0	0.064890882842076
-1	0 0 0 0	3 25 3	0.05	0 2 0	0.0597530390392854
-1	0 0 0 0	3 26 3	0.05	0 2.2 0	0.0554334185976853
-1	0 0 0 0	3 27 3	0.05	0 2.4 0	0.0517254289338113
-1	0 0 0 0	3 28 3	0.05	0 2.6 0	0.0483718099653985
-1	0 0 0 0	3 29 3	0.05	0 2.8 0	0.0455714836620504
-1	0 0 0 0	3 30 3	0.05	0 3 0	0.043106101104561
+1	0 0 0 0	3 0 3	0.0394736842105263	0 -3.38709677419355 0	0.039079593753753
+1	0 0 0 0	3 1 3	0.0394736842105263	0 -3.19354838709677 0	0.0410063856680393
+1	0 0 0 0	3 2 3	0.0394736842105263	0 -3 0	0.0431549548349733
+1	0 0 0 0	3 3 3	0.0394736842105263	0 -2.80645161290323 0	0.0456462065590836
+1	0 0 0 0	3 4 3	0.0394736842105263	0 -2.61290322580645 0	0.0483538723939487
+1	0 0 0 0	3 5 3	0.0394736842105263	0 -2.41935483870968 0	0.0514176216245251
+1	0 0 0 0	3 6 3	0.0394736842105263	0 -2.2258064516129 0	0.0549297828538674
+1	0 0 0 0	3 7 3	0.0394736842105263	0 -2.03225806451613 0	0.0590102024219774
+1	0 0 0 0	3 8 3	0.0394736842105263	0 -1.83870967741935 0	0.0638264270211436
+1	0 0 0 0	3 9 3	0.0394736842105263	0 -1.64516129032258 0	0.0696314782286944
+1	0 0 0 0	3 10 3	0.0394736842105263	0 -1.45161290322581 0	0.0768323518615093
+1	0 0 0 0	3 11 3	0.0394736842105263	0 -1.25806451612903 0	0.0861525120864187
+1	0 0 0 0	3 12 3	0.0394736842105263	0 -1.06451612903226 0	0.108088909124677
+1	0 0 0 0	3 13 3	0.0394736842105263	0 -0.870967741935484 0	0.00829179022201144
+1	0 0 0 0	3 14 3	0.0394736842105263	0 -0.67741935483871 0	-8.66921704726185e-07
+1	0 0 0 0	3 15 3	0.0394736842105263	0 -0.483870967741935 0	0
+1	0 0 0 0	3 16 3	0.0394736842105263	0 -0.290322580645161 0	0
+1	0 0 0 0	3 17 3	0.0394736842105263	0 -0.0967741935483871 0	0
+1	0 0 0 0	3 18 3	0.0394736842105263	0 0.0967741935483871 0	0
+1	0 0 0 0	3 19 3	0.0394736842105263	0 0.290322580645161 0	0
+1	0 0 0 0	3 20 3	0.0394736842105263	0 0.483870967741935 0	0
+1	0 0 0 0	3 21 3	0.0394736842105263	0 0.67741935483871 0	-8.66921704726187e-07
+1	0 0 0 0	3 22 3	0.0394736842105263	0 0.870967741935484 0	0.00829179022200187
+1	0 0 0 0	3 23 3	0.0394736842105263	0 1.06451612903226 0	0.108088909123963
+1	0 0 0 0	3 24 3	0.0394736842105263	0 1.25806451612903 0	0.0861525120865722
+1	0 0 0 0	3 25 3	0.0394736842105263	0 1.45161290322581 0	0.0768323518615977
+1	0 0 0 0	3 26 3	0.0394736842105263	0 1.64516129032258 0	0.0696314782291297
+1	0 0 0 0	3 27 3	0.0394736842105263	0 1.83870967741935 0	0.063826427020573
+1	0 0 0 0	3 28 3	0.0394736842105263	0 2.03225806451613 0	0.059010202422049
+1	0 0 0 0	3 29 3	0.0394736842105263	0 2.2258064516129 0	0.0549297828542039
+1	0 0 0 0	3 30 3	0.0394736842105263	0 2.41935483870968 0	0.0514176216244545
+1	0 0 0 0	3 31 3	0.0394736842105263	0 2.61290322580645 0	0.0483538723935835
+1	0 0 0 0	3 32 3	0.0394736842105263	0 2.80645161290323 0	0.0456462065593351
+1	0 0 0 0	3 33 3	0.0394736842105263	0 3 0	0.0431549548350325
+1	0 0 0 0	3 34 3	0.0394736842105263	0 3.19354838709677 0	0.0410063856680461
+1	0 0 0 0	3 35 3	0.0394736842105263	0 3.38709677419355 0	0.0390795937537454
 
 
 # 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	0.0429550477179913
-2	0 0 0 0	3 1 3	0.1	0 -2.8 0	0.0453957025376444
-2	0 0 0 0	3 2 3	0.1	0 -2.6 0	0.0482476621788187
-2	0 0 0 0	3 3 3	0.1	0 -2.4 0	0.051692455324398
-2	0 0 0 0	3 4 3	0.1	0 -2.2 0	0.055478695456033
-2	0 0 0 0	3 5 3	0.1	0 -2 0	0.059809781318835
-2	0 0 0 0	3 6 3	0.1	0 -1.8 0	0.0649721907415939
-2	0 0 0 0	3 7 3	0.1	0 -1.6 0	0.0712882364932871
-2	0 0 0 0	3 8 3	0.1	0 -1.4 0	0.0792989776587757
-2	0 0 0 0	3 9 3	0.1	0 -1.2 0	0.108630484539309
-2	0 0 0 0	3 10 3	0.1	0 -1 0	0.00890513114313446
-2	0 0 0 0	3 11 3	0.1	0 -0.8 0	-0.00174909598240811
-2	0 0 0 0	3 12 3	0.1	0 -0.6 0	-1.52551340518052e-05
-2	0 0 0 0	3 13 3	0.1	0 -0.4 0	-1.56463457918393e-11
-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	-1.56463457918388e-11
-2	0 0 0 0	3 18 3	0.1	0 0.6 0	-1.52551340518044e-05
-2	0 0 0 0	3 19 3	0.1	0 0.8 0	-0.00174909598240596
-2	0 0 0 0	3 20 3	0.1	0 1 0	0.00890513114319528
-2	0 0 0 0	3 21 3	0.1	0 1.2 0	0.1086304845386
-2	0 0 0 0	3 22 3	0.1	0 1.4 0	0.079298977658802
-2	0 0 0 0	3 23 3	0.1	0 1.6 0	0.0712882364938452
-2	0 0 0 0	3 24 3	0.1	0 1.8 0	0.0649721907410541
-2	0 0 0 0	3 25 3	0.1	0 2 0	0.0598097813188186
-2	0 0 0 0	3 26 3	0.1	0 2.2 0	0.0554786954561056
-2	0 0 0 0	3 27 3	0.1	0 2.4 0	0.0516924553251212
-2	0 0 0 0	3 28 3	0.1	0 2.6 0	0.0482476621790923
-2	0 0 0 0	3 29 3	0.1	0 2.8 0	0.0453957025376743
-2	0 0 0 0	3 30 3	0.1	0 3 0	0.0429550477179739
+2	0 0 0 0	3 0 3	0.0789473684210526	0 -3.38709677419355 0	0.0389912506987415
+2	0 0 0 0	3 1 3	0.0789473684210526	0 -3.19354838709677 0	0.0409051331014871
+2	0 0 0 0	3 2 3	0.0789473684210526	0 -3 0	0.0430807685145933
+2	0 0 0 0	3 3 3	0.0789473684210526	0 -2.80645161290323 0	0.0456340958209936
+2	0 0 0 0	3 4 3	0.0789473684210526	0 -2.61290322580645 0	0.0483726110631868
+2	0 0 0 0	3 5 3	0.0789473684210526	0 -2.41935483870968 0	0.0514373384387501
+2	0 0 0 0	3 6 3	0.0789473684210526	0 -2.2258064516129 0	0.0549551426665826
+2	0 0 0 0	3 7 3	0.0789473684210526	0 -2.03225806451613 0	0.059046130131568
+2	0 0 0 0	3 8 3	0.0789473684210526	0 -1.83870967741935 0	0.063880175691484
+2	0 0 0 0	3 9 3	0.0789473684210526	0 -1.64516129032258 0	0.0697163591443984
+2	0 0 0 0	3 10 3	0.0789473684210526	0 -1.45161290322581 0	0.0769770592724442
+2	0 0 0 0	3 11 3	0.0789473684210526	0 -1.25806451612903 0	0.0864379534077198
+2	0 0 0 0	3 12 3	0.0789473684210526	0 -1.06451612903226 0	0.116860643506167
+2	0 0 0 0	3 13 3	0.0789473684210526	0 -0.870967741935484 0	0.0139465405459281
+2	0 0 0 0	3 14 3	0.0789473684210526	0 -0.67741935483871 0	-9.56881491471444e-05
+2	0 0 0 0	3 15 3	0.0789473684210526	0 -0.483870967741935 0	-3.49888220107942e-07
+2	0 0 0 0	3 16 3	0.0789473684210526	0 -0.290322580645161 0	-7.22369949522629e-17
+2	0 0 0 0	3 17 3	0.0789473684210526	0 -0.0967741935483871 0	0
+2	0 0 0 0	3 18 3	0.0789473684210526	0 0.0967741935483871 0	0
+2	0 0 0 0	3 19 3	0.0789473684210526	0 0.290322580645161 0	-7.22369949522632e-17
+2	0 0 0 0	3 20 3	0.0789473684210526	0 0.483870967741935 0	-3.49888220107937e-07
+2	0 0 0 0	3 21 3	0.0789473684210526	0 0.67741935483871 0	-9.56881491473559e-05
+2	0 0 0 0	3 22 3	0.0789473684210526	0 0.870967741935484 0	0.0139465405458937
+2	0 0 0 0	3 23 3	0.0789473684210526	0 1.06451612903226 0	0.116860643505255
+2	0 0 0 0	3 24 3	0.0789473684210526	0 1.25806451612903 0	0.0864379534079398
+2	0 0 0 0	3 25 3	0.0789473684210526	0 1.45161290322581 0	0.076977059272747
+2	0 0 0 0	3 26 3	0.0789473684210526	0 1.64516129032258 0	0.0697163591449193
+2	0 0 0 0	3 27 3	0.0789473684210526	0 1.83870967741935 0	0.0638801756906948
+2	0 0 0 0	3 28 3	0.0789473684210526	0 2.03225806451613 0	0.0590461301317663
+2	0 0 0 0	3 29 3	0.0789473684210526	0 2.2258064516129 0	0.0549551426670923
+2	0 0 0 0	3 30 3	0.0789473684210526	0 2.41935483870968 0	0.0514373384385518
+2	0 0 0 0	3 31 3	0.0789473684210526	0 2.61290322580645 0	0.048372611062687
+2	0 0 0 0	3 32 3	0.0789473684210526	0 2.80645161290323 0	0.0456340958213824
+2	0 0 0 0	3 33 3	0.0789473684210526	0 3 0	0.0430807685147842
+2	0 0 0 0	3 34 3	0.0789473684210526	0 3.19354838709677 0	0.0409051331015129
+2	0 0 0 0	3 35 3	0.0789473684210526	0 3.38709677419355 0	0.0389912506987286
 
 
diff --git a/test/recoverML/phi.z.asc b/test/recoverML/phi.z.asc
index e29c777..37000d7 100644
--- a/test/recoverML/phi.z.asc
+++ b/test/recoverML/phi.z.asc
@@ -1,54 +1,66 @@
 # 1D ASCII output created by CarpetIOASCII
-# created on linux-hn3d.site by diener on Apr 11 2011 at 13:38:27-0500
-# parameter filename: "recoverML.par"
+# created on horizon.tapir.caltech.edu by rhaas on Oct 18 2011 at 10:43:15-0700
+# parameter filename: "/home/rhaas/ET_2011_10/arrangements/EinsteinAnalysis/AHFinderDirect/test/recoverML.par"
 #
 # phi z (phi)
 #
 # 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	-2.98923381217742e-06
-1	0 0 0 0	3 15 8	0.05	0 0 1	0.0101336557200675
-1	0 0 0 0	3 15 9	0.05	0 0 1.2	0.0823024250963386
-1	0 0 0 0	3 15 10	0.05	0 0 1.4	0.065974846240459
-1	0 0 0 0	3 15 11	0.05	0 0 1.6	0.0616692745608533
-1	0 0 0 0	3 15 12	0.05	0 0 1.8	0.057763241739307
-1	0 0 0 0	3 15 13	0.05	0 0 2	0.054251486484966
-1	0 0 0 0	3 15 14	0.05	0 0 2.2	0.0510906564457798
-1	0 0 0 0	3 15 15	0.05	0 0 2.4	0.0482271970910749
-1	0 0 0 0	3 15 16	0.05	0 0 2.6	0.0454510902649566
-1	0 0 0 0	3 15 17	0.05	0 0 2.8	0.0431479470523085
-1	0 0 0 0	3 15 18	0.05	0 0 3	0.0410763717375216
+1	0 0 0 0	3 15 0	0.0394736842105263	0 -0.483870967741935 -0.473684210526316	0
+1	0 0 0 0	3 15 1	0.0394736842105263	0 -0.483870967741935 -0.315789473684211	0
+1	0 0 0 0	3 15 2	0.0394736842105263	0 -0.483870967741935 -0.157894736842105	0
+1	0 0 0 0	3 15 3	0.0394736842105263	0 -0.483870967741935 0	0
+1	0 0 0 0	3 15 4	0.0394736842105263	0 -0.483870967741935 0.157894736842105	0
+1	0 0 0 0	3 15 5	0.0394736842105263	0 -0.483870967741935 0.315789473684211	0
+1	0 0 0 0	3 15 6	0.0394736842105263	0 -0.483870967741935 0.473684210526316	0
+1	0 0 0 0	3 15 7	0.0394736842105263	0 -0.483870967741935 0.631578947368421	-6.60640339462472e-06
+1	0 0 0 0	3 15 8	0.0394736842105263	0 -0.483870967741935 0.789473684210526	0.0140011838273427
+1	0 0 0 0	3 15 9	0.0394736842105263	0 -0.483870967741935 0.947368421052632	0.0897700922029008
+1	0 0 0 0	3 15 10	0.0394736842105263	0 -0.483870967741935 1.10526315789474	0.0721947956813998
+1	0 0 0 0	3 15 11	0.0394736842105263	0 -0.483870967741935 1.26315789473684	0.0682420664593466
+1	0 0 0 0	3 15 12	0.0394736842105263	0 -0.483870967741935 1.42105263157895	0.0645579535095017
+1	0 0 0 0	3 15 13	0.0394736842105263	0 -0.483870967741935 1.57894736842105	0.0611885442354034
+1	0 0 0 0	3 15 14	0.0394736842105263	0 -0.483870967741935 1.73684210526316	0.0581066517179429
+1	0 0 0 0	3 15 15	0.0394736842105263	0 -0.483870967741935 1.89473684210526	0.0552853870439517
+1	0 0 0 0	3 15 16	0.0394736842105263	0 -0.483870967741935 2.05263157894737	0.0526991455311721
+1	0 0 0 0	3 15 17	0.0394736842105263	0 -0.483870967741935 2.21052631578947	0.0503241847999735
+1	0 0 0 0	3 15 18	0.0394736842105263	0 -0.483870967741935 2.36842105263158	0.0481387900231256
+1	0 0 0 0	3 15 19	0.0394736842105263	0 -0.483870967741935 2.52631578947368	0.0461250105559721
+1	0 0 0 0	3 15 20	0.0394736842105263	0 -0.483870967741935 2.68421052631579	0.0442614990419388
+1	0 0 0 0	3 15 21	0.0394736842105263	0 -0.483870967741935 2.84210526315789	0.0425275332681923
+1	0 0 0 0	3 15 22	0.0394736842105263	0 -0.483870967741935 3	0.0408093756466765
+1	0 0 0 0	3 15 23	0.0394736842105263	0 -0.483870967741935 3.1578947368421	0.0393195194869567
+1	0 0 0 0	3 15 24	0.0394736842105263	0 -0.483870967741935 3.31578947368421	0.0379419095666806
 
 
 # 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	-1.13606626854788e-05
-2	0 0 0 0	3 15 1	0.1	0 0 -0.4	-5.70260772663422e-12
-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	-5.70260772663422e-12
-2	0 0 0 0	3 15 6	0.1	0 0 0.6	-1.13606626854788e-05
-2	0 0 0 0	3 15 7	0.1	0 0 0.8	-0.00133832611532355
-2	0 0 0 0	3 15 8	0.1	0 0 1	0.00616767887339931
-2	0 0 0 0	3 15 9	0.1	0 0 1.2	0.0923275263240607
-2	0 0 0 0	3 15 10	0.1	0 0 1.4	0.066086733842121
-2	0 0 0 0	3 15 11	0.1	0 0 1.6	0.0617381611605872
-2	0 0 0 0	3 15 12	0.1	0 0 1.8	0.057812851283418
-2	0 0 0 0	3 15 13	0.1	0 0 2	0.0542911351391956
-2	0 0 0 0	3 15 14	0.1	0 0 2.2	0.051124936548618
-2	0 0 0 0	3 15 15	0.1	0 0 2.4	0.048168624879506
-2	0 0 0 0	3 15 16	0.1	0 0 2.6	0.0452754287289152
-2	0 0 0 0	3 15 17	0.1	0 0 2.8	0.0429044073201887
-2	0 0 0 0	3 15 18	0.1	0 0 3	0.0408702248830478
+2	0 0 0 0	3 15 0	0.0789473684210526	0 -0.483870967741935 -0.473684210526316	-4.90532645583423e-06
+2	0 0 0 0	3 15 1	0.0789473684210526	0 -0.483870967741935 -0.315789473684211	-3.32370395109244e-07
+2	0 0 0 0	3 15 2	0.0789473684210526	0 -0.483870967741935 -0.157894736842105	-3.4463453556598e-07
+2	0 0 0 0	3 15 3	0.0789473684210526	0 -0.483870967741935 0	-3.49888220107942e-07
+2	0 0 0 0	3 15 4	0.0789473684210526	0 -0.483870967741935 0.157894736842105	-3.4463453556598e-07
+2	0 0 0 0	3 15 5	0.0789473684210526	0 -0.483870967741935 0.315789473684211	-3.32370395109244e-07
+2	0 0 0 0	3 15 6	0.0789473684210526	0 -0.483870967741935 0.473684210526316	-4.90532645583423e-06
+2	0 0 0 0	3 15 7	0.0789473684210526	0 -0.483870967741935 0.631578947368421	-0.000496852342564922
+2	0 0 0 0	3 15 8	0.0789473684210526	0 -0.483870967741935 0.789473684210526	0.0235793763330133
+2	0 0 0 0	3 15 9	0.0789473684210526	0 -0.483870967741935 0.947368421052632	0.101401395394922
+2	0 0 0 0	3 15 10	0.0789473684210526	0 -0.483870967741935 1.10526315789474	0.0721861792978524
+2	0 0 0 0	3 15 11	0.0789473684210526	0 -0.483870967741935 1.26315789473684	0.0683238339750499
+2	0 0 0 0	3 15 12	0.0789473684210526	0 -0.483870967741935 1.42105263157895	0.0646198084401149
+2	0 0 0 0	3 15 13	0.0789473684210526	0 -0.483870967741935 1.57894736842105	0.0612343364891664
+2	0 0 0 0	3 15 14	0.0789473684210526	0 -0.483870967741935 1.73684210526316	0.0581411874802173
+2	0 0 0 0	3 15 15	0.0789473684210526	0 -0.483870967741935 1.89473684210526	0.0553118823747521
+2	0 0 0 0	3 15 16	0.0789473684210526	0 -0.483870967741935 2.05263157894737	0.0527198181394029
+2	0 0 0 0	3 15 17	0.0789473684210526	0 -0.483870967741935 2.21052631578947	0.0503403453473925
+2	0 0 0 0	3 15 18	0.0789473684210526	0 -0.483870967741935 2.36842105263158	0.0481521648334933
+2	0 0 0 0	3 15 19	0.0789473684210526	0 -0.483870967741935 2.52631578947368	0.0461374097651697
+2	0 0 0 0	3 15 20	0.0789473684210526	0 -0.483870967741935 2.68421052631579	0.0442778525230479
+2	0 0 0 0	3 15 21	0.0789473684210526	0 -0.483870967741935 2.84210526315789	0.0425052993305306
+2	0 0 0 0	3 15 22	0.0789473684210526	0 -0.483870967741935 3	0.0407193576207329
+2	0 0 0 0	3 15 23	0.0789473684210526	0 -0.483870967741935 3.1578947368421	0.0391867490352781
+2	0 0 0 0	3 15 24	0.0789473684210526	0 -0.483870967741935 3.31578947368421	0.0378231232139502