path: root/test/Kerr-selection-mean-coordinate-radius/h.t0.ah1.gp

# N_patches = 5
# origin = 0.5 0.7 0

### +z patch
# N_rho = 19
# N_sigma = 19
# ghosted_gfn=-3
# dpx = dsigma = dnu
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-45	2.72581823568202	-1.073751892	-0.8737518921	1.573751892
-40	-45	2.70498107073550	-0.8802804434	-0.9449541773	1.644954177
-35	-45	2.68070540501334	-0.6894627819	-0.9987289011	1.698728901
-30	-45	2.65377960938370	-0.5030344115	-1.037306563	1.737306563
-25	-45	2.62476916531219	-0.3219349493	-1.062645187	1.762645187
-20	-45	2.59406122776600	-0.1465530796	-1.076389987	1.776389987
-15	-45	2.56190202986616	0.02308454721	-1.079872701	1.779872701
-10	-45	2.52842755014470	0.1871727534	-1.074131476	1.774131476
-5	-45	2.49368721062216	0.3460253246	-1.059938593	1.759938593
0	-45	2.45766194386491	0.5000000000	-1.037829426	1.737829426
5	-45	2.42027841241637	0.6494419915	-1.008129779	1.708129779
10	-45	2.38142220774240	0.7946391532	-0.9709816727	1.670981673
15	-45	2.34094428745465	0.9357826692	-0.9263630625	1.626363063
20	-45	2.29866860562863	1.072928368	-0.8741077542	1.574107754
25	-45	2.25440197172406	1.205956087	-0.8139277150	1.513927715
30	-45	2.20794535724031	1.334524903	-0.7454395328	1.445439533
35	-45	2.15911227157443	1.458025333	-0.6682019701	1.368201970
40	-45	2.10774897726122	1.575528670	-0.5817651562	1.281765156
45	-45	2.05376904474855	1.685744111	-0.4857441108	1.185744111

-45	-40	2.67995050399062	-1.129732579	-0.6675080059	1.629732579
-40	-40	2.65771172917853	-0.9370677950	-0.7370677950	1.712630708
-35	-40	2.63187086537218	-0.7440434822	-0.7908100386	1.776678219
-30	-40	2.60319111422324	-0.5529432887	-0.8303090210	1.823751274
-25	-40	2.57224957826563	-0.3652905333	-0.8570513472	1.855621537
-20	-40	2.53946616365928	-0.1820330809	-0.8723640363	1.873870489
-15	-40	2.50513185575917	-0.003704264051	-0.8773813623	1.879849905
-10	-40	2.46943381475930	0.1694448172	-0.8730362469	1.874671599
-5	-40	2.43247662623295	0.3373398207	-0.8600660813	1.859214357
0	-40	2.39430001080374	0.5000000000	-0.8390263808	1.834140218
5	-40	2.35489405310427	0.6574722177	-0.8103085874	1.799915685
10	-40	2.31421401882331	0.8097776638	-0.7741608028	1.756836433
15	-40	2.27218821410270	0.9568665276	-0.7307060654	1.705049093
20	-40	2.22872934098290	1.098577434	-0.6799647787	1.644577983
25	-40	2.18374804806892	1.234600767	-0.6218809982	1.575356429
30	-40	2.13716315071639	1.364443484	-0.5563503429	1.497260035
35	-40	2.08892152024565	1.487399966	-0.4832591079	1.410153293
40	-40	2.03901613252866	1.602529061	-0.4025290612	1.313942970
45	-40	1.98751178338935	1.708646466	-0.3141748034	1.208646466

-45	-35	2.63263865536561	-1.168269614	-0.4681349592	1.668269614
-40	-35	2.60844401803837	-0.9775400185	-0.5329699842	1.760863625
-35	-35	2.58063514244404	-0.7839764659	-0.5839764659	1.833708431
-30	-35	2.54993952356317	-0.5901885386	-0.6221752436	1.888261939
-25	-35	2.51693371845653	-0.3981198330	-0.6486166617	1.926024197
-20	-35	2.48206075615643	-0.2091701867	-0.6643047257	1.948429075
-15	-35	2.44564956512721	-0.02431709762	-0.6701507395	1.956778048
-10	-35	2.40793437887149	0.1557734929	-0.6669490292	1.952205531
-5	-35	2.36907313253059	0.3306511172	-0.6553683359	1.935666587
0	-35	2.32916390128420	0.5000000000	-0.6359535302	1.907939371
5	-35	2.28825978599900	0.6635720877	-0.6091342836	1.869637518
10	-35	2.24638450689049	0.8211321285	-0.5752395363	1.821230802
15	-35	2.20354061498925	0.9724119253	-0.5345116186	1.763065307
20	-35	2.15972145084035	1.117071947	-0.4871257278	1.695391242
25	-35	2.11492496180320	1.254670669	-0.4332134100	1.618396473
30	-35	2.06916376313507	1.384640047	-0.3728870537	1.532241507
35	-35	2.02247994590470	1.506270360	-0.3062703598	1.437103009
40	-35	1.97496153796876	1.618707048	-0.2335328952	1.333223144
45	-35	1.92675509046125	1.720960181	-0.1549255229	1.220960181

-45	-30	2.58457038106711	-1.191998487	-0.2768757820	1.691998487
-40	-30	2.55795130099488	-1.003714395	-0.3346446101	1.792057032
-35	-30	2.52782334373049	-0.8107077303	-0.3807330964	1.871884632
-30	-30	2.49488004169970	-0.6157442738	-0.4157442738	1.932525770
-25	-30	2.45969527204619	-0.4210417048	-0.4403708837	1.975180310
-20	-30	2.42273121016072	-0.2283373943	-0.4553301646	2.001090545
-15	-30	2.38435035019614	-0.03896957930	-0.4613180427	2.011461854
-10	-30	2.34483045440218	0.1460389648	-0.4589803110	2.007412784
-5	-30	2.30437964084239	0.3259021407	-0.4488968040	1.989947637
0	-30	2.26315089435384	0.5000000000	-0.4315754472	1.959946167
5	-30	2.22125582748995	0.6678177838	-0.4074536833	1.918166046
10	-30	2.17877837541777	0.8288948451	-0.3769056818	1.865255356
15	-30	2.13578427684714	0.9827825546	-0.3402518304	1.801769023
20	-30	2.09233162981996	1.129010499	-0.2977721986	1.728192142
25	-30	2.04848210823851	1.267061463	-0.2497230728	1.644968615
30	-30	2.00431171079843	1.396355447	-0.1963554467	1.552533175
35	-30	1.95991897447924	1.516242277	-0.1379340698	1.451344382
40	-30	1.91543769007206	1.626007061	-0.07475958248	1.341922961
45	-30	1.87104145067197	1.724884154	-0.007187195882	1.224884154

-45	-25	2.53617878791097	-1.203152945	-0.09419326126	1.703152945
-40	-25	2.50677241047854	-1.017416269	-0.1432643761	1.808386290
-35	-25	2.47405484169040	-0.8256414172	-0.1828193229	1.893212148
-30	-25	2.43869395936492	-0.6306341957	-0.2131776880	1.958315872
-25	-25	2.40126364341282	-0.4347678027	-0.2347678027	2.004616022
-20	-25	2.36224395329179	-0.2400090902	-0.2480772694	2.033158265
-15	-25	2.32202832715361	-0.04796541324	-0.2536153712	2.045034763
-10	-25	2.28093415981470	0.1400589930	-0.2518863612	2.041326889
-5	-25	2.23921453472658	0.3230044974	-0.2433720323	2.023067852
0	-25	2.19707037628859	0.5000000000	-0.2285220633	1.991221991
5	-25	2.15466245007133	0.6703122043	-0.2077505808	1.946677403
10	-25	2.11212326153552	0.8333019370	-0.1814376852	1.890249216
15	-25	2.06956506331171	0.9883877005	-0.1499332385	1.822687712
20	-25	2.02709023292456	1.135017055	-0.1135646491	1.744695020
25	-25	1.98479926559232	1.272645875	-0.07264587474	1.656944425
30	-25	1.94280002823002	1.400726448	-0.02748842932	1.560103971
35	-25	1.90121282757637	1.518702748	0.02158843332	1.454858300
40	-25	1.86017925219172	1.626016167	0.07424598658	1.341933812
45	-25	1.81986181319572	1.722115342	0.1301182569	1.222115342

-45	-20	2.48770777932822	-1.203560094	0.07995483355	1.703560094
-40	-20	2.45526149132337	-1.020226937	0.04058205486	1.811735914
-35	-20	2.41977765081337	-0.8300698124	0.008625236409	1.899536551
-30	-20	2.38190904358576	-0.6358632587	-0.01606516603	1.967372875
-25	-20	2.34223309118497	-0.4400459891	-0.03374038122	2.015935129
-20	-20	2.30124736692308	-0.2447194947	-0.04471949474	2.046099996
-15	-20	2.25937290305147	-0.05166856267	-0.04936197483	2.058855105
-10	-20	2.21696101997644	0.1376056621	-0.04804633725	2.055240420
-5	-20	2.17430189044977	0.3218463575	-0.04115457212	2.036305451
0	-20	2.13163420713505	0.5000000000	-0.02906183704	2.003080935
5	-20	2.08915519002219	0.6711770607	-0.01213060512	1.956562757
10	-20	2.04703055073581	0.8346167454	0.009291551849	1.897705865
15	-20	2.00540098813317	0.9896565234	0.03487241404	1.827423023
20	-20	1.96439175941868	1.135707773	0.06429222709	1.746592751
25	-20	1.92411863185756	1.272237404	0.09724037554	1.656068458
30	-20	1.88469455893786	1.398756109	0.1334107233	1.556691244
35	-20	1.84623472873366	1.514812695	0.1724969467	1.449302728
40	-20	1.80886241827097	1.619995318	0.2141876565	1.334758444
45	-20	1.77270738506583	1.713934203	0.2581640839	1.213934203

-45	-15	2.43926629062213	-1.194671939	0.2459140225	1.694671939
-40	-15	2.40363255988644	-1.013471314	0.2167040941	1.803684876
-35	-15	2.36530297902111	-0.8251373672	0.1929082193	1.892492290
-30	-15	2.32492422055939	-0.6323740427	0.1744633779	1.961329375
-25	-15	2.28307926998009	-0.4376196922	0.1612260062	2.010731919
-20	-15	2.24028103614340	-0.2430298111	0.1529930772	2.041457628
-15	-15	2.19697230268006	-0.05047954725	0.1495204528	2.054417639
-10	-15	2.15352963371943	0.1384203977	0.1505380739	2.050619825
-5	-15	2.11026930614483	0.3222996878	0.1557620013	2.031123862
0	-15	2.06745472803924	0.5000000000	0.1649033415	1.997007916
5	-15	2.02530456090651	0.6705456511	0.1776743908	1.949345712
10	-15	1.98400095469952	0.8331155815	0.1937924379	1.889192341
15	-15	1.94369530731965	0.9870177523	0.2129822477	1.817574996
20	-15	1.90451634539756	1.131667366	0.2349763674	1.735491824
25	-15	1.86657551308064	1.266569072	0.2595149248	1.643912681
30	-15	1.82997251531528	1.391303620	0.2863445502	1.543783156
35	-15	1.79479930326886	1.505518382	0.3152171697	1.436029072
40	-15	1.76114597449292	1.608923201	0.3458882055	1.321563209
45	-15	1.72910003390082	1.701286353	0.3781162917	1.201286353

-45	-10	2.39086664113264	-1.177608585	0.4041923435	1.677608585
-40	-10	2.35199574172453	-0.9982278659	0.3851649242	1.785518442
-35	-10	2.31083654178016	-0.8118280112	0.3696541242	1.873484559
-30	-10	2.26803489755678	-0.6210225396	0.3576315449	1.941667995
-25	-10	2.22417800347144	-0.4282007099	0.3490153533	1.990532846
-20	-10	2.17978833839937	-0.2355035419	0.3436820744	2.020779373
-15	-10	2.13532093095729	-0.04481606992	0.3414776556	2.033281254
-10	-10	2.09116532857155	0.1422269786	0.3422269786	2.029031632
-5	-10	2.04764975806176	0.3242267085	0.3457418307	2.009097915
0	-10	2.00504692644949	0.5000000000	0.3518272551	1.974585758
5	-10	1.96358077551930	0.6685566853	0.3602863708	1.926611729
10	-10	1.92343357838621	0.8290761535	0.3709238465	1.866283607
15	-10	1.88475168517117	0.9808846254	0.3835484620	1.794685854
20	-10	1.84765194155012	1.123434176	0.3979745715	1.712871322
25	-10	1.81222802574866	1.256284496	0.4140227929	1.621857335
30	-10	1.77855478270431	1.379087002	0.4315204215	1.522623352
35	-10	1.74669353091309	1.491572298	0.4503012464	1.416112001
40	-10	1.71669594464534	1.593540118	0.4702053246	1.303230365
45	-10	1.68860694991982	1.684851328	0.4910787427	1.184851328

-45	-5	2.34245248262744	-1.153203541	0.5553634317	1.653203541
-40	-5	2.30038609283492	-0.9753499699	0.5461727400	1.758253627
-35	-5	2.25650563199595	-0.7909674427	0.5386978002	1.843692580
-30	-5	2.21145646366472	-0.6025680049	0.5329225665	1.909703803
-25	-5	2.16582431642616	-0.4124530300	0.5288055220	1.956761837
-20	-5	2.12013076475439	-0.2226892534	0.5262849240	1.985572405
-15	-5	2.07482940453069	-0.03509805567	0.5252839901	1.997013131
-10	-5	2.03030693844135	0.1487422636	0.5257154419	1.992081615
-5	-5	1.98688666881488	0.3274853982	0.5274853982	1.971850922
0	-5	1.94483365778954	0.5000000000	0.5304965780	1.937432979
5	-5	1.90436102964897	0.6653491817	0.5346508183	1.889949795
10	-5	1.86563694954599	0.8227686413	0.5398509579	1.830511927
15	-5	1.82878981441642	0.9716444985	0.5460023467	1.760201231
20	-5	1.79391445110621	1.111491856	0.5530137903	1.680060065
25	-5	1.76108011016853	1.241935932	0.5607979475	1.591086741
30	-5	1.73033211702334	1.362693370	0.5692719238	1.494228749
35	-5	1.70170093339049	1.473558617	0.5783570047	1.390385798
40	-5	1.67520285829100	1.574389423	0.5879788630	1.280407454
45	-5	1.65084634350174	1.665097282	0.5980671959	1.165097282

-45	0	2.29392123567141	-1.122047261	0.7000000000	1.622047261
-40	0	2.24878716043882	-0.9454925236	0.7000000000	1.722670908
-35	0	2.20238230668686	-0.7632345950	0.7000000000	1.804085969
-30	0	2.15534540135449	-0.5776727007	0.7000000000	1.866583872
-25	0	2.10825055988041	-0.3909851869	0.7000000000	1.910723899
-20	0	2.06160252970250	-0.2051095927	0.7000000000	1.937272684
-15	0	2.01583580790178	-0.02173669888	0.7000000000	1.947147868
-10	0	1.97131543342771	0.1576846674	0.7000000000	1.941366722
-5	0	1.92834116395793	0.3319339936	0.7000000000	1.921003244
0	0	1.88715315111981	0.5000000000	0.7000000000	1.887153151
5	0	1.84793912331299	0.6610585068	0.7000000000	1.840907157
10	0	1.81084122317029	0.8144492784	0.7000000000	1.783330476
15	0	1.77596089429764	0.9596525028	0.7000000000	1.715446494
20	0	1.74336657523356	1.096266486	0.7000000000	1.638228706
25	0	1.71310086734714	1.223987711	0.7000000000	1.552596656
30	0	1.68518265022130	1.342591325	0.7000000000	1.459410985
35	0	1.65961617291476	1.451916730	0.7000000000	1.359477981
40	0	1.63639157168448	1.551852227	0.7000000000	1.253548670
45	0	1.61549118014979	1.642324768	0.7000000000	1.142324768

-45	5	2.24514055675371	-1.084524914	0.8386279671	1.584524914
-40	5	2.19714998958654	-0.9091396140	0.8469238419	1.679347197
-35	5	2.14850311302578	-0.7291782170	0.8535818362	1.755448421
-30	5	2.09981893394525	-0.5469087729	0.8586431223	1.813299186
-25	5	2.05164304978382	-0.3643489239	0.8621691835	1.853602249
-20	5	2.00444444394265	-0.1832552419	0.8642361994	1.877228349
-15	5	1.95861700071831	-0.005126901810	0.8649300644	1.885159262
-10	5	1.91448333975597	0.1687805811	0.8643420887	1.878438669
-5	5	1.87230077121151	0.3374345013	0.8625654987	1.858132152
0	5	1.83226863535887	0.5000000000	0.8596927338	1.825296300
5	5	1.79453641160191	0.6558134842	0.8558134842	1.780956274
10	5	1.75921087950327	0.8043561640	0.8510132704	1.726089579
15	5	1.72636224949383	0.9452284516	0.8453724933	1.661615202
20	5	1.69603278756914	1.078126920	0.8389661758	1.588390658
25	5	1.66824071839872	1.202823071	0.8318636959	1.507208941
30	5	1.64298575891665	1.319145011	0.8241289839	1.418800779
35	5	1.62025522209107	1.426962783	0.8158209968	1.323840051
40	5	1.60002542622873	1.526174463	0.8069940076	1.222947103
45	5	1.58226615288325	1.616696294	0.7976982664	1.116696294

-45	10	2.19595854770318	-1.040846674	0.9716928417	1.540846674
-40	10	2.14540740586621	-0.8666305182	0.9871814312	1.628686830
-35	10	2.09488390591343	-0.6892348672	0.9994743445	1.698403405
-30	10	2.04496914223691	-0.5107677372	1.008695835	1.750701075
-25	10	1.99615693641644	-0.3330422667	1.015001963	1.786464906
-20	10	1.94885693227333	-0.1575827346	1.018568848	1.806693715
-15	10	1.90339986331515	0.01435738863	1.019582584	1.812442900
-10	10	1.86004520881957	0.1817688276	1.018231172	1.804778663
-5	10	1.81899004524278	0.3438551973	1.014698391	1.784743261
0	10	1.78037869526245	0.5000000000	1.009159516	1.753330742
5	10	1.74431255055540	0.6497343758	1.001778646	1.711471747
10	10	1.71085770693715	0.7927070005	0.9927070005	1.660023891
15	10	1.68005277961564	0.9286567604	0.9820824039	1.599768809
20	10	1.65191547661366	1.057388836	0.9700294728	1.531413240
25	10	1.62644661198104	1.178753633	0.9566601183	1.455591863
30	10	1.60363608915397	1.292629868	0.9420749394	1.372875203
35	10	1.58346602890951	1.398910440	0.9263645492	1.283777152
40	10	1.56591299355739	1.497490957	0.9096110666	1.188763431
45	10	1.55094990766028	1.588260982	0.8918897732	1.088260982

-45	15	2.14621629115678	-0.9910764510	1.099532731	1.491076451
-40	15	2.09348777699358	-0.8181855454	1.120935416	1.570952359
-35	15	2.04153536146069	-0.6437497936	1.137679997	1.633443988
-30	15	1.99087638896638	-0.4696732156	1.150026906	1.679523276
-25	15	1.94192676381334	-0.2975144791	1.158266891	1.710275320
-20	15	1.89500973893307	-0.1285143273	1.162702415	1.726828922
-15	15	1.85037002851347	0.03636609151	1.163633908	1.730305303
-10	15	1.80818495220792	0.1964040867	1.161349020	1.721777983
-5	15	1.76857653068095	0.3510727514	1.156115506	1.702246241
0	15	1.73162352139152	0.5000000000	1.148177146	1.672619881
5	15	1.69737346879657	0.6429314232	1.137752251	1.633713643
10	15	1.66584986461923	0.7796977214	1.125032960	1.586244602
15	15	1.63706012150028	0.9101863794	1.110186379	1.530836409
20	15	1.61100254743515	1.034318195	1.093356696	1.468027174
25	15	1.58766848336795	1.152026960	1.074667013	1.398276327
30	15	1.56704792711025	1.263243972	1.054222760	1.321977338
35	15	1.54913079312470	1.367885053	1.032114532	1.239468308
40	15	1.53390786156664	1.465840447	1.008421263	1.151043823
45	15	1.52137189854625	1.556967940	0.9832137058	1.056967940

-45	20	2.09575877651079	-0.9351569134	1.222354398	1.435156913
-40	20	2.04132845135306	-0.7639315653	1.248246538	1.506294984
-35	20	1.98847704456936	-0.5929984780	1.268144286	1.560963598
-30	20	1.93762462568946	-0.4239969206	1.282501462	1.600409613
-25	20	1.88907861166451	-0.2581742306	1.291782802	1.625909885
-20	20	1.84305156711932	-0.09644019655	1.296440197	1.638705972
-15	20	1.79968024101429	0.06057408209	1.296896571	1.639959852
-10	20	1.75904437605787	0.2124587594	1.293536238	1.630727410
-5	20	1.72118077190983	0.3589732984	1.286699117	1.611942575
0	20	1.68609697117804	0.5000000000	1.276679128	1.584412882
5	20	1.65378357141833	0.6355044432	1.263725424	1.548822873
10	20	1.62422199406239	0.7655025726	1.248044509	1.505739913
15	20	1.59739208512140	0.8900334444	1.229804038	1.455624631
20	20	1.57327759937169	1.009137138	1.209137138	1.398842791
25	20	1.55186798431691	1.122836079	1.186146409	1.335676281
30	20	1.53316321129851	1.231121017	1.160909610	1.266338747
35	20	1.51717184421128	1.333937973	1.133483764	1.190986854
40	20	1.50391312075372	1.431179528	1.103911071	1.109736548
45	20	1.49341508711300	1.522677329	1.072224107	1.022677329

-45	25	2.04444243462410	-0.8729308714	1.340208179	1.372930871
-40	25	1.98888534953208	-0.7039254041	1.369050033	1.434782426
-35	25	1.93574608007768	-0.5372062630	1.390734100	1.481284057
-30	25	1.88530889287119	-0.3740722449	1.405960668	1.513937538
-25	25	1.83774078739009	-0.2153987120	1.415398712	1.534177489
-20	25	1.79311991440275	-0.06172227030	1.419661587	1.543319254
-15	25	1.75146010513699	0.08668051158	1.419293240	1.542529331
-10	25	1.71273306738670	0.2297235160	1.414762958	1.532814110
-5	25	1.67688585434065	0.3674529618	1.406465232	1.515019580
0	25	1.64385366420227	0.5000000000	1.394722578	1.489837377
5	25	1.61357202092600	0.6275424870	1.379791370	1.457817298
10	25	1.58598296579351	0.7502747847	1.361867221	1.419378836
15	25	1.56104258202545	0.8683836814	1.341092180	1.374826616
20	25	1.53872473650311	0.9820290854	1.317561088	1.324364028
25	25	1.51902351945502	1.091327937	1.291327937	1.268106854
30	25	1.50195476934362	1.196340521	1.262412343	1.206097162
35	25	1.48755539884649	1.297057937	1.230805796	1.138316703
40	25	1.47588453899876	1.393392317	1.196479397	1.064703503
45	25	1.46701885839763	1.485166149	1.159390520	0.9851661488

-45	30	1.99215259697923	-0.8041700102	1.452962906	1.304170010
-40	30	1.93614919137039	-0.6381825013	1.483137007	1.356433085
-35	30	1.88341096909591	-0.4765719280	1.505224215	1.394689252
-30	30	1.83404429775543	-0.3202095447	1.520209545	1.420644604
-25	30	1.78804659499865	-0.1695404519	1.528979223	1.435834133
-20	30	1.74534375447316	-0.02469672118	1.532303756	1.441592394
-15	30	1.70581810540211	0.1144089871	1.530833163	1.439045251
-10	30	1.66933120796155	0.2480081337	1.525101021	1.429116890
-5	30	1.63574194898600	0.3764182921	1.515533458	1.412545385
0	30	1.60491727729782	0.5000000000	1.502458639	1.389899133
5	30	1.57674212617424	0.6191242206	1.486117859	1.361596072
10	30	1.55112385768215	0.7341480192	1.466674626	1.327919405
15	30	1.52799913501066	0.8453959905	1.444224927	1.289035385
20	30	1.50733551097101	0.9531451173	1.418804536	1.245005977
25	30	1.48913394137581	1.057611538	1.390396493	1.195801803
30	30	1.47342993285757	1.158937898	1.358937898	1.141313918
35	30	1.46029468803684	1.257180893	1.324327172	1.081366383
40	30	1.44983364369563	1.352297587	1.286431245	1.015728711
45	30	1.44218403187310	1.444131070	1.245094328	0.9441310703

-45	35	1.93881998177179	-0.7286055495	1.560278867	1.228605549
-40	35	1.88316142030325	-0.5667073323	1.590140440	1.271252295
-35	35	1.83158331163578	-0.4112911116	1.611291112	1.301458585
-30	35	1.78397540713097	-0.2627120267	1.625013357	1.321055982
-25	35	1.74014346710281	-0.1209370348	1.632398997	1.331603768
-20	35	1.69985147605636	0.01432132122	1.634350779	1.334391203
-15	35	1.66285090781657	0.1435052780	1.631595611	1.330456415
-10	35	1.62889958882098	0.2671404916	1.624702405	1.320611897
-5	35	1.59777629858007	0.3857858682	1.614102386	1.305473500
0	35	1.56928844371938	0.5000000000	1.600106873	1.285485837
5	35	1.54327790955733	0.6103184136	1.582923361	1.260945238
10	35	1.51962368575652	0.7172379605	1.562668078	1.232017696
15	35	1.49824637886671	0.8212055415	1.539377568	1.198755401
20	35	1.47910871695907	0.9226084323	1.513015962	1.161107125
25	35	1.46221937531697	1.021765119	1.483482457	1.118928909
30	35	1.44763288111901	1.118913806	1.450615589	1.071990157
35	35	1.43545345339373	1.214199548	1.414199548	1.019982661
40	35	1.42583471210996	1.307656914	1.373969382	0.9625280293
45	35	1.41898115068096	1.399190298	1.329619825	0.8991902976

-45	40	1.88444217991831	-0.6459677368	1.661581105	1.145967737
-40	40	1.83002948065218	-0.4895265923	1.689526592	1.179271871
-35	40	1.78042829876856	-0.3415801283	1.708514671	1.201900983
-30	40	1.73528112091609	-0.2018895387	1.720100422	1.215708342
-25	40	1.69419308129804	-0.06991718346	1.725540306	1.222191344
-20	40	1.65676996160607	0.05503564589	1.725824065	1.222529515
-15	40	1.62264286895619	0.1737368813	1.721713333	1.217630536
-10	40	1.59148034365358	0.2869665213	1.713777430	1.208172895
-5	40	1.56299545377239	0.3954821937	1.702425333	1.194643992
0	40	1.53694863119917	0.5000000000	1.687931537	1.177370958
5	40	1.51314876038278	0.6011845483	1.670456214	1.156544679
10	40	1.49145310825021	0.6996439637	1.650059802	1.132237182
15	40	1.47176946981990	0.7959271609	1.626714387	1.104415200
20	40	1.45405611269463	0.8905208050	1.600309510	1.072947093
25	40	1.43832506973532	0.9838445993	1.570656567	1.037608092
30	40	1.42464509282634	1.076242936	1.537490273	0.9980820418
35	40	1.41314730736480	1.167972248	1.500470198	0.9539632338
40	40	1.40402973303751	1.259181626	1.459181626	0.9047574305
45	40	1.39756137639534	1.349885587	1.413138682	0.8498855866

-45	45	1.82911502337730	-0.5560400511	1.756040051	1.056040051
-40	45	1.77694532208785	-0.4067282961	1.780596704	1.080596704
-35	45	1.73017257026658	-0.2676993805	1.796388340	1.096388340
-30	45	1.68817878283224	-0.1380716040	1.805172437	1.105172437
-25	45	1.65037528118714	-0.01680777913	1.808297859	1.108297859
-20	45	1.61622845370019	0.09716545129	1.806778826	1.106778826
-15	45	1.58527069573670	0.2048910993	1.801361411	1.101361411
-10	45	1.55710315023867	0.3073489228	1.792578552	1.092578552
-5	45	1.53139240842460	0.4054429730	1.780791765	1.080791765
0	45	1.50786736047869	0.5000000000	1.766223236	1.066223236
5	45	1.48631552286354	0.5917737193	1.748978412	1.048978412
10	45	1.46657936390155	0.6814511095	1.729060379	1.029060379
15	45	1.44855637348023	0.7696586016	1.706379602	1.006379602
20	45	1.43219880659566	0.8569663426	1.680756966	0.9807569658
25	45	1.41751689003902	0.9438891955	1.651923452	0.9519234517
30	45	1.40458473492418	1.030883129	1.619516553	0.9195165525
35	45	1.39354804475499	1.118334835	1.583073662	0.8830736620
40	45	1.38463514087971	1.206542765	1.542024879	0.8420248791
45	45	1.37816823732589	1.295685803	1.495685803	0.7956858028


### +x patch
# N_rho = 10
# N_sigma = 19
# ghosted_gfn=-3
# dpx = drho = dnu
# dpy = dsigma = dphi
#
# dpx	dpy	gridfn	global_x	global_y	global_z
45	-45	2.05376928546433	1.685744250	-0.4857442498	1.185744250
45	-40	1.98751198444526	1.708646588	-0.3141749060	1.208646588
45	-35	1.92675524546221	1.720960280	-0.1549255916	1.220960280
45	-30	1.87104153344236	1.724884208	-0.007187227166	1.224884208
45	-25	1.81986187880869	1.722115386	0.1301182364	1.222115386
45	-20	1.77270743461649	1.713934236	0.2581640716	1.213934236
45	-15	1.72910005957718	1.701286371	0.3781162870	1.201286371
45	-10	1.68860697364200	1.684851345	0.4910787398	1.184851345
45	-5	1.65084635721518	1.665097292	0.5980671951	1.165097292
45	0	1.61549118945580	1.642324775	0.7000000000	1.142324775
45	5	1.58226616047183	1.616696300	0.7976982668	1.116696300
45	10	1.55094991683435	1.588260989	0.8918897744	1.088260989
45	15	1.52137190817652	1.556967946	0.9832137076	1.056967946
45	20	1.49341510428012	1.522677340	1.072224111	1.022677340
45	25	1.46701887871188	1.485166162	1.159390526	0.9851661624
45	30	1.44218406280897	1.444131091	1.245094339	0.9441310906
45	35	1.41898119350465	1.399190325	1.329619844	0.8991903247
45	40	1.39756141689191	1.349885611	1.413138703	0.8498856112
45	45	1.37816820744489	1.295685786	1.495685786	0.7956857856

50	-45	2.06669395365208	1.756798759	-0.5567987588	1.054579375
50	-40	1.99719561007548	1.786993805	-0.3799160270	1.079916027
50	-35	1.93272406940271	1.804710198	-0.2135679159	1.094781846
50	-30	1.87306461958344	1.812237110	-0.05762044892	1.101097675
50	-25	1.81789950386069	1.811433191	0.08846866010	1.100423106
50	-20	1.76686397444329	1.803767818	0.2254673217	1.093991096
50	-15	1.71958604516318	1.790376655	0.3542446174	1.082754575
50	-10	1.67570887244414	1.772115014	0.4756918006	1.067431239
50	-5	1.63490609073409	1.749607434	0.5906735156	1.048545137
50	0	1.59689157725823	1.723289919	0.7000000000	1.026462120
50	5	1.56142169921124	1.693441125	0.8044125690	1.001416008
50	10	1.52830185511802	1.660210922	0.9045764888	0.9735325563
50	15	1.49738524926356	1.623637270	1.001077699	0.9428436188
50	20	1.46857779368217	1.583662633	1.094420942	0.9093009154
50	25	1.44184043326535	1.540144076	1.185027148	0.8727845105
50	30	1.41719270637843	1.492861027	1.273228581	0.8331093216
50	35	1.39471962758036	1.441523392	1.359261776	0.7900319310
50	40	1.37457664485406	1.385777846	1.443255864	0.7432558642
50	45	1.35699645472208	1.325217230	1.525217230	0.6924394734

55	-45	2.07781606974134	1.816685602	-0.6166856016	0.9219531837
55	-40	2.00576221661960	1.854015537	-0.4361539378	0.9480918860
55	-35	1.93821494160507	1.877227265	-0.2643449126	0.9643449126
55	-30	1.87517587798417	1.888591065	-0.1017034252	0.9723019312
55	-25	1.81651349658859	1.890044133	0.05181177550	0.9733193805
55	-20	1.76201637859099	1.883190937	0.1965596708	0.9685207206
55	-15	1.71143241393648	1.869326753	0.3330900024	0.9588129146
55	-10	1.66449631335288	1.849471538	0.4620517581	0.9449101435
55	-5	1.62095183649921	1.824409224	0.5841292070	0.9273613225
55	0	1.58056506604102	1.794723105	0.7000000000	0.9065748780
55	5	1.54313165200912	1.760825737	0.8103079587	0.8828396855
55	10	1.50848618153545	1.722988090	0.9156457974	0.8563454799
55	15	1.47650401259633	1.681359210	1.016544246	0.8271966244
55	20	1.44710749251708	1.635986017	1.113465097	0.7954259725
55	25	1.42026743918231	1.586826178	1.206795370	0.7610038828
55	30	1.39600655028437	1.533760217	1.296841740	0.7238466966
55	35	1.37440364978174	1.476602821	1.383824657	0.6838246570
55	40	1.35559465752920	1.415111579	1.467869788	0.6407680257
55	45	1.33977616156275	1.348999104	1.548999104	0.5944755725

60	-45	2.08720389003731	1.866395688	-0.6663956881	0.7888889184
60	-40	2.01316641089623	1.910390035	-0.4834577579	0.8142890662
60	-35	1.94311730325376	1.938902536	-0.3075304022	0.8307507663
60	-30	1.87723976226413	1.954103667	-0.1395271437	0.8395271437
60	-25	1.81557285433570	1.957938223	0.02015224165	0.8417410253
60	-20	1.75805452133567	1.952091039	0.1714820845	0.8383651521
60	-15	1.70455683726479	1.937981233	0.3146940900	0.8302188517
60	-10	1.65491402735642	1.916774321	0.4501844617	0.8179750355
60	-5	1.60894837299388	1.889407785	0.5784425698	0.8021749588
60	0	1.56648530686028	1.856616070	0.7000000000	0.7832426534
60	5	1.52736337194606	1.818955036	0.8153936134	0.7614990453
60	10	1.49144783538722	1.776830675	0.9251396977	0.7371785337
60	15	1.45863334518244	1.730517710	1.029716227	0.7104397310
60	20	1.42885118246035	1.680180690	1.129550642	0.6813776390
60	25	1.40207186366576	1.625889361	1.225010831	0.6500325257
60	30	1.37830788786359	1.567632699	1.316398026	0.6163980262
60	35	1.35761632384263	1.505331777	1.403940888	0.5804285719
60	40	1.34009795534801	1.438849760	1.487788487	0.5420451617
60	45	1.32589992955436	1.368005256	1.568005256	0.5011430681

65	-45	2.09494498933715	1.906845505	-0.7068455052	0.6560228329
65	-40	2.01939433551344	1.956791616	-0.5223933079	0.6793130870
65	-35	1.94735212292911	1.990165308	-0.3434249817	0.6948754950
65	-30	1.87914648101263	2.008989008	-0.1712152101	0.7036531306
65	-25	1.81496358238676	2.015162688	-0.006531964745	0.7065319647
65	-20	1.75487783223742	2.010404700	0.1502576475	0.7043132785
65	-15	1.69888098838196	1.996222350	0.2990884297	0.6976999399
65	-10	1.64690713067563	1.973903048	0.4401111257	0.6872922785
65	-5	1.59885968635110	1.944525114	0.5736204283	0.6735931231
65	0	1.55462461498576	1.908968394	0.7000000000	0.6570127524
65	5	1.51408443255726	1.867933038	0.8196786333	0.6378776513
65	10	1.47713402181309	1.821964242	0.9330979634	0.6164420498
65	15	1.44368340332805	1.771467153	1.040688597	0.5928948706
65	20	1.41366682331867	1.716728011	1.142852779	0.5673695894
65	25	1.38704605344462	1.657929805	1.239951536	0.5399515356
65	30	1.36381456153665	1.595168047	1.332295567	0.5106852475
65	35	1.34399831614176	1.528463030	1.420137566	0.4795801869
65	40	1.32765561948021	1.457771121	1.503665394	0.4466160083
65	45	1.31487981837914	1.382998251	1.582998251	0.4117488468

70	-45	2.10113168342164	1.938836232	-0.7388362321	0.5236935605
70	-40	2.02445323165350	1.993842770	-0.5534829171	0.5437143028
70	-35	1.95086701893218	2.031439555	-0.3723255209	0.5573984137
70	-30	1.88081165388184	2.053484101	-0.1969044641	0.5654219723
70	-25	1.81459245009464	2.061800437	-0.02827950425	0.5684488709
70	-20	1.75240125218412	2.058106376	0.1328956574	0.5671043426
70	-15	1.69433712274057	2.043965863	0.2862955938	0.5619576169
70	-10	1.64042796754019	2.020763710	0.4318483267	0.5535127238
70	-5	1.59065333606698	1.989699325	0.5696681970	0.5422062124
70	0	1.54495758272261	1.951785240	0.7000000000	0.5284066139
70	5	1.50326498949789	1.907857256	0.8231715497	0.5124181352
70	10	1.46549592440733	1.858592430	0.9395565012	0.4944872051
70	15	1.43157224163928	1.804521185	1.049545398	0.4748068814
70	20	1.40142682257447	1.746045713	1.153523550	0.4535235500
70	25	1.37500806589796	1.683454829	1.251854050	0.4307423314
70	30	1.35228532017053	1.616939988	1.344865602	0.4065329089
70	35	1.33325053986874	1.546607787	1.432842662	0.3809340815
70	40	1.31791908658974	1.472491667	1.516017399	0.3539580200
70	45	1.30633265009276	1.394564945	1.594564945	0.3255950125

75	-45	2.10584788335089	1.963030637	-0.7630306373	0.3920178778
75	-40	2.02835942239169	2.022080069	-0.5771768247	0.4078401254
75	-35	1.95362730658286	2.063108256	-0.3945001839	0.4188335949
75	-30	1.88216951359477	2.087817067	-0.2167266108	0.4254543007
75	-25	1.81438242133628	2.097945676	-0.04513430605	0.4281682534
75	-20	1.75055209016069	2.095191791	0.1193976702	0.4274303521
75	-15	1.69086690582585	2.081151839	0.2763316417	0.4236683583
75	-10	1.63543498367072	2.057283145	0.4254089650	0.4172727610
75	-5	1.58430175135203	2.024882669	0.5665900532	0.4085910798
75	0	1.53746274528610	1.985074973	0.7000000000	0.3979246396
75	5	1.49487842415288	1.938813155	0.8258798400	0.3855288230
75	10	1.45649072041971	1.886890015	0.9445461289	0.3716160595
75	15	1.42222936087745	1.829945344	1.056357781	0.3563577810
75	20	1.39202326101755	1.768482150	1.161689745	0.3398887676
75	25	1.36580608398024	1.702879779	1.260912053	0.3223106654
75	30	1.34352264479099	1.633409169	1.354374089	0.3036960716
75	35	1.32513324057189	1.560246600	1.442392661	0.2840922201
75	40	1.31061483625408	1.483484829	1.525241758	0.2635239658
75	45	1.29996511085246	1.403146329	1.603146329	0.2419973294

80	-45	2.10916409802176	1.979945279	-0.7799452785	0.2609542826
80	-40	2.03113245925712	2.041934962	-0.5938370576	0.2718847362
80	-35	1.95561167465510	2.085490021	-0.4101720643	0.2795646683
80	-30	1.88317230445301	2.112186566	-0.2307963478	0.2842719895
80	-25	1.81427430598429	2.123688658	-0.05713845571	0.2863001187
80	-20	1.74927281657431	2.121668656	0.1097608792	0.2859439379
80	-15	1.68842304374964	2.107739087	0.2692076101	0.2834877789
80	-10	1.63189437020483	2.083406750	0.4208026686	0.2791973314
80	-5	1.57978251759595	2.050039380	0.5643891262	0.2733137639
80	0	1.53212292760079	2.008846538	0.7000000000	0.2660503543
80	5	1.48890409297950	1.960871957	0.8278097351	0.2575911413
80	10	1.45008424258833	1.906998651	0.9480918240	0.2480918240
80	15	1.41559796788737	1.847951387	1.061182486	0.2376801982
80	20	1.38536949832727	1.784310984	1.167450970	0.2264586782
80	25	1.35931944485823	1.716525835	1.267275313	0.2145063275
80	30	1.33737243332190	1.644926497	1.361023621	0.2018814324
80	35	1.31946301998423	1.569739702	1.449039804	0.1886239719
80	40	1.30553821805374	1.491099824	1.531631496	0.1747576395
80	45	1.29556234676368	1.409062211	1.609062211	0.1602921949

85	-45	2.11113224768454	1.989947537	-0.7899475372	0.1303535188
85	-40	2.03278849418815	2.053720810	-0.6037265583	0.1359329571
85	-35	1.95680632221290	2.098821313	-0.4195067354	0.1398787399
85	-30	1.88378559979547	2.126743544	-0.2392008229	0.1423216185
85	-25	1.81422495492681	2.139101625	-0.06432564019	0.1434028105
85	-20	1.74852094483092	2.137547549	0.1039814350	0.1432668465
85	-15	1.68696993870055	2.123700296	0.2649308169	0.1420553689
85	-10	1.62977972240600	2.099095270	0.4180363593	0.1399027080
85	-5	1.57707770764181	2.065143187	0.5630677144	0.1369322856
85	0	1.52892438926305	2.023106370	0.7000000000	0.1332545408
85	5	1.48532600799077	1.974085817	0.8289657981	0.1289657981
85	10	1.44625090804141	1.919021819	0.9502118328	0.1241483224
85	15	1.41163643949993	1.858693153	1.064060733	0.1188702481
85	20	1.38140305672906	1.793729535	1.170879042	0.1131866680
85	25	1.35546252428848	1.724622570	1.271050883	0.1071405919
85	30	1.33372621203071	1.651739617	1.364957178	0.1007641598
85	35	1.31611193105366	1.575337800	1.452959634	0.09407986695
85	40	1.30254782023750	1.495576106	1.535387544	0.08710162297
85	45	1.29297758331559	1.412528700	1.612528700	0.07983591641

90	-45	2.11178431604611	1.993257010	-0.7932570103	0.000000000
90	-40	2.03333886313335	2.057627937	-0.6070050275	0.000000000
90	-35	1.95720513428106	2.103248587	-0.4226067461	0.000000000
90	-30	1.88399172712515	2.131584696	-0.2419958636	0.000000000
90	-25	1.81421084837974	2.144233419	-0.06671863517	0.000000000
90	-20	1.74827270425276	2.142838959	0.1020555191	0.000000000
90	-15	1.68648747034976	2.129021803	0.2635049233	0.000000000
90	-10	1.62907575832710	2.104326437	0.4171139633	0.000000000
90	-5	1.57617686684465	2.070179038	0.5626271345	0.000000000
90	0	1.52785877657670	2.027858777	0.7000000000	0.000000000
90	5	1.48413404865823	1.978486471	0.8293508053	0.000000000
90	10	1.44497451544194	1.923022106	0.9509171914	0.000000000
90	15	1.41031842157192	1.862262987	1.065017267	0.000000000
90	20	1.38008480572940	1.796855508	1.172016803	0.000000000
90	25	1.35418230824080	1.727305971	1.272302173	0.000000000
90	30	1.33251768985051	1.653994170	1.366258845	0.000000000
90	35	1.31500301305370	1.577187406	1.454254742	0.000000000
90	40	1.30155993516992	1.497052756	1.536626600	0.000000000
90	45	1.29212516047300	1.413670463	1.613670463	0.000000000


### +y patch
# N_rho = 10
# N_sigma = 19
# ghosted_gfn=-3
# dpx = 90 - dsigma = 90 - dphi
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
45	45	1.37816825213201	1.295685811	1.495685811	0.7956858114
40	45	1.38463519826821	1.206542795	1.542024914	0.8420249140
35	45	1.39354811149794	1.118334865	1.583073704	0.8830737043
30	45	1.40458479650234	1.030883152	1.619516593	0.9195165929
25	45	1.41751691401915	0.9438892030	1.651923468	0.9519234678
20	45	1.43219882327790	0.8569663468	1.680756977	0.9807569772
15	45	1.44855638662745	0.7696586040	1.706379611	1.006379611
10	45	1.46657937124288	0.6814511104	1.729060384	1.029060384
5	45	1.48631553012264	0.5917737198	1.748978417	1.048978417
0	45	1.50786737080447	0.5000000000	1.766223243	1.066223243
-5	45	1.53139242437921	0.4054429720	1.780791776	1.080791776
-10	45	1.55710317230770	0.3073489201	1.792578567	1.092578567
-15	45	1.58527072832306	0.2048910933	1.801361434	1.101361434
-20	45	1.61622850752773	0.09716543788	1.806778863	1.106778863
-25	45	1.65037535004735	-0.01680780070	1.808297905	1.108297905
-30	45	1.68817890245288	-0.1380716492	1.805172515	1.105172515
-35	45	1.73017275624455	-0.2676994630	1.796388458	1.096388458
-40	45	1.77694550051717	-0.4067283871	1.780596813	1.080596813
-45	45	1.82911524347309	-0.5560401782	1.756040178	1.056040178

45	50	1.35699649378243	1.325217254	1.525217254	0.6924394934
40	50	1.36115344403751	1.235997722	1.577127929	0.7359977220
35	50	1.36819384431954	1.146723461	1.623616821	0.7750065342
30	50	1.37781565484956	1.057301283	1.665274137	0.8099611720
25	50	1.38979489514429	0.9675193170	1.702598411	0.8412799567
20	50	1.40398054281990	0.8770718385	1.735996362	0.8693041651
15	50	1.42028816428196	0.7855758681	1.765783649	0.8942986671
10	50	1.43869517838691	0.6925818561	1.792185980	0.9164528526
5	50	1.45923761373646	0.5975794996	1.815338784	0.9358803621
0	50	1.48200614586692	0.5000000000	1.835282573	0.9526151880
-5	50	1.50714680830146	0.3992168034	1.851957209	0.9666068688
-10	50	1.53485907414187	0.2945457705	1.865188837	0.9777095232
-15	50	1.56539766783045	0.1852471145	1.874673761	0.9856683193
-20	50	1.59907223005657	0.07053172226	1.879954395	0.9900992980
-25	50	1.63624604952281	-0.05042412242	1.880388340	0.9904634205
-30	50	1.67733169196099	-0.1784500525	1.875109961	0.9860343351
-35	50	1.72278120941059	-0.3143312664	1.862985575	0.9758607670
-40	50	1.77306427206143	-0.4587245810	1.842563464	0.9587245810
-45	50	1.82863534683611	-0.6120304630	1.812030463	0.9331043513

45	55	1.33977619378373	1.348999124	1.548999124	0.5944755868
40	55	1.34177126862018	1.260039599	1.605779922	0.6342339297
35	55	1.34698621246805	1.170183308	1.657120956	0.6701833081
30	55	1.35516014582221	1.079378470	1.703512946	0.7026673297
25	55	1.36609439019597	0.9874647499	1.745371530	0.7319770253
20	55	1.37964986498503	0.8941912179	1.783031470	0.7583467995
15	55	1.39574702000672	0.7992309434	1.816745084	0.7819533260
10	55	1.41436196060007	0.7021902597	1.846677944	0.8029125403
5	55	1.43552615924953	0.6026159758	1.872905970	0.8212776021
0	55	1.45932200828989	0.5000000000	1.895406606	0.8370327170
-5	55	1.48588407605984	0.3937842801	1.914051233	0.8500878254
-10	55	1.51539488655584	0.2833665680	1.928589245	0.8602674505
-15	55	1.54808567039670	0.1681095292	1.938632100	0.8672995332
-20	55	1.58423208076887	0.04735589861	1.943629448	0.8707987140
-25	55	1.62414908612026	-0.07954665046	1.942841803	0.8702471990
-30	55	1.66818021186462	-0.2132055214	1.935308199	0.8649721131
-35	55	1.71668352536492	-0.3541235488	1.919814844	0.8541235488
-40	55	1.77000419464098	-0.5026099899	1.894864057	0.8366528201
-45	55	1.82843824351062	-0.6586580466	1.858658047	0.8113010984

45	60	1.32589995042804	1.368005270	1.568005270	0.5011430760
40	60	1.32595496463558	1.279474405	1.628941422	0.5363245801
35	60	1.32947874723969	1.189351206	1.684495551	0.5683987715
30	60	1.33626210479036	1.097594580	1.735064176	0.5975945804
25	60	1.34614338161449	1.004068211	1.780977767	0.6241028046
20	60	1.35900905031569	0.9085542409	1.822493552	0.6480719542
15	60	1.37479615834823	0.8107652812	1.859791819	0.6696061187
10	60	1.39348913055857	0.7103524603	1.892968084	0.6887604445
5	60	1.41512144901073	0.6069136398	1.922028495	0.7055384804
0	60	1.43977102073865	0.5000000000	1.946878280	0.7198855104
-5	60	1.46756148789793	0.3891244703	1.967313104	0.7316835617
-10	60	1.49865690702874	0.2737720656	1.983002371	0.7407417645
-15	60	1.53326010723175	0.1534147950	1.993473594	0.7467873278
-20	60	1.57160581308567	0.02753352169	1.998090981	0.7494531771
-25	60	1.61395262826134	-0.1043503425	1.996033492	0.7482652855
-30	60	1.66056815041686	-0.2426286531	1.986270558	0.7426286531
-35	60	1.71171238304849	-0.3875440834	1.967544314	0.7318170506
-40	60	1.76760983204796	-0.5391051417	1.938357286	0.7149659123
-45	60	1.82841357866943	-0.6969776608	1.896977661	0.6910753747

45	65	1.31487983356652	1.382998262	1.582998262	0.4117488515
40	65	1.31326082035574	1.294951838	1.647386709	0.4417736775
35	65	1.31528811783905	1.204754145	1.706493227	0.4693354998
30	65	1.32080613662326	1.112355879	1.760631495	0.4945805887
25	65	1.32969561682514	1.017626065	1.810052678	0.5176260647
20	65	1.34187594700266	0.9203631878	1.854938367	0.5385566050
15	65	1.35730794169462	0.8203052256	1.895395376	0.5574220183
10	65	1.37599135757254	0.7171372254	1.931446399	0.5742328865
5	65	1.39796647611415	0.6105002559	1.963023704	0.5889576256
0	65	1.42331061158745	0.5000000000	1.989957491	0.6015170566
-5	65	1.45213816724198	0.3852178205	2.011966315	0.6117799401
-10	65	1.48459405180413	0.2657248125	2.028640612	0.6195552922
-15	65	1.52085060056481	0.1411010503	2.039429115	0.6245860539
-20	65	1.56109862465145	0.01096195153	2.043620995	0.6265407598
-25	65	1.60553758979838	-0.1250062749	2.040330282	0.6250062749
-30	65	1.65435904674340	-0.2669986236	2.028480585	0.6194806707
-35	65	1.70772807218104	-0.4150302668	2.006798652	0.6093702189
-40	65	1.76575922584243	-0.5688612041	1.973819180	0.5939916387
-45	65	1.82848378900841	-0.7279053689	1.927905369	0.5725816770

45	70	1.30633265991977	1.394564951	1.594564951	0.3255950149
40	70	1.30333019925078	1.306984382	1.661726536	0.3500398328
35	70	1.30409601899689	1.216817410	1.723721355	0.3726041013
30	70	1.30852399061918	1.123997095	1.780794673	0.3933770902
25	70	1.31653701167268	1.028386924	1.833129414	0.4124253784
20	70	1.32808898900901	0.9297902846	1.880839102	0.4297902846
15	70	1.34316735379118	0.8279596752	1.923962171	0.4454857980
10	70	1.36179017261919	0.7226042964	1.962451699	0.4594948407
5	70	1.38400851273239	0.6134001487	1.996169631	0.4717671642
0	70	1.40990158322792	0.5000000000	2.024874114	0.4822147416
-5	70	1.43957628972998	0.3820468488	2.048210687	0.4907085597
-10	70	1.47315933354528	0.2591908037	2.065696817	0.4970729903
-15	70	1.51079313879435	0.1311113237	2.076711282	0.5010819279
-20	70	1.55262572012018	-0.002453868465	2.080480658	0.5024538685
-25	70	1.59879991488739	-0.1416720236	2.076070095	0.5008485549
-30	70	1.64943670248269	-0.2865684682	2.062376551	0.4958645123
-35	70	1.70461591548759	-0.4369696303	2.038131310	0.4870399663
-40	70	1.76435787594994	-0.5924393918	2.001918570	0.4738596069
-45	70	1.82859508848807	-0.7522056033	1.952205603	0.4557655668

45	75	1.29996511535184	1.403146332	1.603146332	0.2419973303
40	75	1.29588205051295	1.315965112	1.672429353	0.2605616599
35	75	1.29564755816017	1.225873602	1.736654938	0.2777708536
30	75	1.29919686393969	1.132784842	1.796015496	0.2936764671
25	75	1.30648975332493	1.036551900	1.850639263	0.3083128613
20	75	1.31751191440291	0.9369767065	1.900583634	0.3216954152
15	75	1.33227575542643	0.8338187531	1.945828547	0.3338187531
10	75	1.35081833404267	0.7268036383	1.986267350	0.3446542977
5	75	1.37320220002072	0.6156338003	2.021700386	0.3541485510
0	75	1.39950990313001	0.5000000000	2.051822760	0.3622198167
-5	75	1.42984265081120	0.3795966540	2.076216542	0.3687561111
-10	75	1.46431132730324	0.2541407840	2.094336902	0.3736114468
-15	75	1.50303192605679	0.1233961015	2.105504884	0.3766038985
-20	75	1.54611418520894	-0.01279679311	2.108897610	0.3775129768
-25	75	1.59365179739325	-0.1544841992	2.103545895	0.3760789890
-30	75	1.64570550190994	-0.3015548102	2.088333656	0.3720028820
-35	75	1.70228502727244	-0.4536881826	2.062007877	0.3649489107
-40	75	1.76333471343331	-0.6103013624	2.023205638	0.3545518820
-45	75	1.82871156348710	-0.7704911239	1.970491124	0.3404270706

45	80	1.29556234898393	1.409062212	1.609062212	0.1602921952
40	80	1.29070632440660	1.322183539	1.679840186	0.1727722616
35	80	1.28974835832564	1.232171226	1.745648877	0.1843761094
30	80	1.29265459368454	1.138920917	1.806643489	0.1951311052
25	80	1.29941338701838	1.042275136	1.862912781	0.2050528995
20	80	1.31003552613815	0.9420318031	1.914472398	0.2141442510
15	80	1.32455386879596	0.8379530555	1.961257974	0.2223938104
10	80	1.34302142990515	0.7297746755	2.003116940	0.2297746755
5	80	1.36551085984915	0.6172174770	2.039801893	0.2362432225
0	80	1.39210819078184	0.5000000000	2.070958939	0.2417370504
-5	80	1.42291062286588	0.3778552423	2.096120969	0.2461737952
-10	80	1.45801663610669	0.2505510397	2.114695354	0.2494489603
-15	80	1.49752132916716	0.1179151933	2.125959911	0.2514352058
-20	80	1.54150538287095	-0.02013429425	2.129057229	0.2519813464
-25	80	1.59002403653344	-0.1635536532	2.122995401	0.2509124827
-30	80	1.64309206308462	-0.3121317884	2.106653520	0.2480309681
-35	80	1.70066746477141	-0.4654439757	2.078796889	0.2431190925
-40	80	1.76263840008445	-0.6228055909	2.038107597	0.2359444724
-45	80	1.82880929865413	-0.7832276490	1.983227649	0.2262676569

45	85	1.29297758424805	1.412528701	1.612528701	0.07983591647
40	85	1.28765787024091	1.325837891	1.684195274	0.08610592916
35	85	1.28626279123484	1.235882669	1.750949366	0.09194615550
30	85	1.28877749980389	1.142547054	1.812924145	0.09736824601
25	85	1.29520822267472	1.045665989	1.870184489	0.1023778770
20	85	1.30558181806318	0.9450338465	1.922720444	0.1069741775
15	85	1.31994451518446	0.8404134056	1.970440125	0.1111491087
10	85	1.33835990999402	0.7315459124	2.013162123	0.1148867992
5	85	1.36090751965936	0.6181629645	2.050608864	0.1181629645
0	85	1.38767594314517	0.5000000000	2.082395417	0.1209439275
-5	85	1.41876002019862	0.3768138999	2.108023567	0.1231861001
-10	85	1.45424997732473	0.2484042705	2.126870287	0.1248349744
-15	85	1.49422842917582	0.1146388106	2.138187538	0.1258251056
-20	85	1.53875722964974	-0.02451637979	2.141096910	0.1260796426
-25	85	1.58786732594556	-0.1689620861	2.134593823	0.1255106963
-30	85	1.64154479022167	-0.3184265863	2.117556430	0.1240201175
-35	85	1.69971582395702	-0.4724229177	2.088763852	0.1215010933
-40	85	1.76223433144016	-0.6302069578	2.046928202	0.1178409483
-45	85	1.82887368736131	-0.7907414253	1.990741425	0.1129252423

45	90	1.29212516105146	1.413670464	1.613670464	0.000000000
40	90	1.28665087693331	1.327043242	1.685631755	0.000000000
35	90	1.28510955601759	1.237108559	1.752700120	0.000000000
30	90	1.28749276994433	1.143746385	1.815001446	0.000000000
25	90	1.29381286136662	1.046788942	1.872592671	0.000000000
20	90	1.30410219587147	0.9460292199	1.925455210	0.000000000
15	90	1.31841162520012	0.8412300379	1.973487838	0.000000000
10	90	1.33680844163073	0.7321343498	2.016499318	0.000000000
5	90	1.35937458754264	0.6184773018	2.054201757	0.000000000
0	90	1.38619958704759	0.5000000000	2.086199587	0.000000000
-5	90	1.41737744715875	0.3764674158	2.111983898	0.000000000
-10	90	1.45299573103428	0.2476899391	2.130921461	0.000000000
-15	90	1.49313266813241	0.1135488286	2.142255406	0.000000000
-20	90	1.53784366236680	-0.02597350982	2.145100341	0.000000000
-25	90	1.58715136256178	-0.1707591500	2.138447639	0.000000000
-30	90	1.64103208812504	-0.3205160441	2.121175477	0.000000000
-35	90	1.69940131176539	-0.4747365483	2.092068059	0.000000000
-40	90	1.76210145070668	-0.6326569795	2.049848025	0.000000000
-45	90	1.82889562422724	-0.7932244980	1.993224498	0.000000000


### -x patch
# N_rho = 10
# N_sigma = 19
# ghosted_gfn=-3
# dpx = drho = dnu
# dpy = 180 - dsigma = 180 - dphi
#
# dpx	dpy	gridfn	global_x	global_y	global_z
-90	45	1.82889561757393	-0.7932244933	1.993224493	1.583743236e-16
-90	40	1.89945220950650	-0.9550648101	1.920944345	1.781940462e-16
-90	35	1.97333881135238	-1.116464521	1.831860643	1.979598102e-16
-90	30	2.05002287700331	-1.275371890	1.725011439	2.174203502e-16
-90	25	2.12887106302471	-1.429412422	1.599699788	2.362848747e-16
-90	20	2.20915982957283	-1.575931190	1.455577162	2.542282487e-16
-90	15	2.29008717191863	-1.712054344	1.292718175	2.708985272e-16
-90	10	2.37078898889067	-1.834771377	1.111683188	2.859270294e-16
-90	5	2.45035192708787	-1.941027598	0.9135622422	2.989396635e-16
-90	-2.84217e-14	2.52783946506970	-2.027839465	0.7000000000	3.095710510e-16
-90	-5	2.60231206857394	-2.092409485	0.4731935588	3.174785978e-16
-90	-10	2.67284056495701	-2.132234111	0.2358661067	3.223557079e-16
-90	-15	2.73852966285942	-2.145216527	-0.008783632326	3.239455953e-16
-90	-20	2.79853942958519	-2.129766851	-0.2571568568	3.220535557e-16
-90	-25	2.85209246475558	-2.084873610	-0.5053463598	3.165557193e-16
-90	-30	2.89848314424408	-2.010160035	-0.7492415721	3.074059453e-16
-90	-35	2.93711060430052	-1.905940156	-0.9846574336	2.946426911e-16
-90	-40	2.96746748891894	-1.773211980	-1.207451334	2.783881775e-16
-90	-45	2.98915235385542	-1.613649899	-1.413649899	2.588474584e-16

-85	45	1.82887367728840	-0.7907414182	1.990741418	0.1129252416
-85	40	1.89925165134379	-0.9516546222	1.918082858	0.1270033228
-85	35	1.97289206866977	-1.111964276	1.828709538	0.1410286002
-85	30	2.04926271569046	-1.269641350	1.721702910	0.1548235566
-85	25	2.12773570227600	-1.422349837	1.596406451	0.1681838181
-85	20	2.20759892900899	-1.567489226	1.452504538	0.1808818693
-85	15	2.28806730788528	-1.702253567	1.290092065	0.1926722214
-85	10	2.36829738240264	-1.823708590	1.109732520	0.2032981590
-85	5	2.44740002862708	-1.928879351	0.9124994083	0.2124994083
-85	-2.84217e-14	2.52446456218456	-2.014858212	0.7000000000	0.2200215840
-85	-5	2.59857539413398	-2.078910699	0.4743745496	0.2256254504
-85	-10	2.66882686136639	-2.118579892	0.2382737139	0.2290960551
-85	-15	2.73434091656036	-2.131789728	-0.005185932302	0.2302517660
-85	-20	2.79428940699895	-2.116944214	-0.2524897986	0.2289529518
-85	-25	2.84789997014700	-2.072998159	-0.4998087459	0.2251081702
-85	-30	2.89446538644870	-1.999516336	-0.7430964294	0.2186793437
-85	-35	2.93337367255981	-1.896732008	-0.9782098191	0.2096868802
-85	-40	2.96410070432070	-1.765550479	-1.201022571	0.1982099835
-85	-45	2.98622297531976	-1.607549431	-1.407549431	0.1843866830

-80	45	1.82880927648383	-0.7832276334	1.983227633	0.2262676542
-80	40	1.89864984348446	-0.9413607346	1.909445261	0.2541507864
-80	35	1.97155242533037	-1.098413804	1.819221395	0.2818434800
-80	30	2.04698664490787	-1.252428262	1.711764929	0.3090003844
-80	25	2.12434199743493	-1.401184400	1.586536845	0.3352301049
-80	20	2.20294056134718	-1.542242712	1.443315558	0.3601024912
-80	15	2.28204742582074	-1.672996192	1.282252575	0.3831578576
-80	10	2.36087808586241	-1.790730555	1.103917602	0.4039176024
-80	5	2.43861517301383	-1.892702482	0.9093343424	0.4218980044
-80	-2.84217e-14	2.51442312438153	-1.976223387	0.7000000000	0.4366249934
-80	-5	2.58745573759897	-2.038740772	0.4778889628	0.4476484951
-80	-10	2.65687383841304	-2.077931542	0.2454411148	0.4545588852
-80	-15	2.72185399813972	-2.091785914	0.005533057509	0.4570017848
-80	-20	2.78160234636254	-2.078692870	-0.2385674480	0.4546931280
-80	-25	2.83536305940292	-2.037514215	-0.4832623110	0.4474322200
-80	-30	2.88242691881543	-1.967649904	-0.7246983361	0.4351132570
-80	-35	2.92215068898481	-1.869100582	-0.9588620863	0.4177363526
-80	-40	2.95396518653223	-1.742503770	-1.181684086	0.3954139189
-80	-45	2.97738212607198	-1.589151159	-1.389151159	0.3683737161

-75	45	1.82871150963533	-0.7704910865	1.970491087	0.3404270606
-75	40	1.89765066486421	-0.9239962718	1.894874746	0.3815586510
-75	35	1.96932460006487	-1.075667749	1.803294436	0.4221989010
-75	30	2.04320992346117	-1.223672370	1.695162707	0.4618566197
-75	25	2.11872856284638	-1.365986523	1.570123806	0.4999895819
-75	20	2.19525800510004	-1.500430360	1.428097107	0.5360136995
-75	15	2.27214355053978	-1.624711259	1.269314666	0.5693146661
-75	10	2.34869564466803	-1.736459520	1.094348155	0.5992575224
-75	5	2.42420842872811	-1.833288729	0.9041363125	0.6252028306
-75	-2.84217e-14	2.49796056132571	-1.912844619	0.7000000000	0.6465197672
-75	-5	2.56921911852072	-1.972860807	0.4836527129	0.6626010562
-75	-10	2.63724740590748	-2.011222381	0.2572037397	0.6728800089
-75	-15	2.70130823303283	-2.026028788	0.02315262633	0.6768473737
-75	-20	2.76066923685861	-2.015661732	-0.2156259900	0.6740695296
-75	-25	2.81460725824606	-1.978854207	-0.4559087001	0.6642069829
-75	-30	2.86241475482676	-1.914761777	-0.6941633620	0.6470334681
-75	-35	2.90341037800873	-1.823035063	-0.9266066624	0.6224553690
-75	-40	2.93695825536525	-1.703892257	-1.149285180	0.5905311504
-75	-45	2.96247298214462	-1.558168004	-1.358168004	0.5514844546

-70	45	1.82859498675157	-0.7522055336	1.952205534	0.4557655414
-70	40	1.89626181205417	-0.8992504016	1.874110496	0.5092854965
-70	35	1.96622051772706	-1.043492122	1.780764819	0.5617851893
-70	30	2.03796400019186	-1.183286398	1.671845855	0.6126661444
-70	25	2.11096314488557	-1.316883544	1.547226711	0.6612915292
-70	20	2.18467486311071	-1.442452294	1.406994817	0.7069948166
-70	15	2.25854653578422	-1.558102077	1.251466789	0.7490878951
-70	10	2.33201667380618	-1.661903112	1.081201848	0.7868683822
-70	5	2.40451705556862	-1.751909548	0.8970165568	0.8196280458
-70	-2.84217e-14	2.47547176042976	-1.826182546	0.7000000000	0.8466612063
-70	-5	2.54429204921003	-1.882813441	0.4915308366	0.8672731663
-70	-10	2.61037462131382	-1.919955690	0.2732965198	0.8807918392
-70	-15	2.67309485771969	-1.935859519	0.04731340893	0.8865803599
-70	-20	2.73180786435424	-1.928922740	-0.1840555786	0.8840555786
-70	-25	2.78584457939090	-1.897746822	-0.4180877056	0.8727084727
-70	-30	2.83451509424648	-1.841209512	-0.6516979418	0.8521305744
-70	-35	2.87711045073913	-1.758544896	-0.8814501618	0.8220431150
-70	-40	2.91291788019728	-1.649440277	-1.103594543	0.7823322810
-70	-45	2.94123887940008	-1.514134145	-1.314134145	0.7330848767

-65	45	1.82848359499330	-0.7279052386	1.927905239	0.5725816162
-65	40	1.89449701758755	-0.8666906575	1.846789627	0.6372983199
-65	35	1.96225950409636	-1.001572830	1.751412615	0.7001949098
-65	30	2.03129555169241	-1.131167496	1.641754993	0.7606258951
-65	25	2.10114445481727	-1.254071382	1.517936919	0.8179369186
-65	20	2.17136103561009	-1.368867367	1.380212093	0.8714671652
-65	15	2.24151748704026	-1.474128020	1.228966009	0.9205510137
-65	10	2.31119810777461	-1.568411674	1.064716785	0.9645162037
-65	5	2.37999077109131	-1.650255253	0.8881229584	1.002680492
-65	-2.84217e-14	2.44748145433781	-1.718171501	0.7000000000	1.034350358
-65	-5	2.51324408811082	-1.770645907	0.5013442242	1.058819575
-65	-10	2.57682636911409	-1.806136253	0.2933659575	1.075368995
-65	-15	2.63774089023322	-1.823086137	0.07753094567	1.083272856
-65	-20	2.69545525738671	-1.819949694	-0.1443926335	1.081810309
-65	-25	2.74938205254608	-1.795231233	-0.3702839012	1.070283901
-65	-30	2.79887283078652	-1.747546096	-0.5976213434	1.048047957
-65	-35	2.84321512057482	-1.675703349	-0.8234438858	1.014547133
-65	-40	2.88163937611852	-1.578815420	-1.044333252	0.9693675503
-65	-45	2.91333174575779	-1.456427349	-1.256427349	0.9122970554

-60	45	1.82841328375944	-0.6969774678	1.896977468	0.6910752632
-60	40	1.89238107376712	-0.8257698886	1.812453025	0.7654336020
-60	35	1.95747474593618	-0.9495344006	1.714974914	0.8368890764
-60	30	2.02327155015714	-1.067219404	1.604834545	0.9048345446
-60	25	2.08940089230949	-1.177827148	1.482383648	0.9686939553
-60	20	2.15553349579980	-1.280394655	1.348010660	1.027911333
-60	15	2.22137906225881	-1.373977642	1.202130796	1.081941496
-60	10	2.28667392714900	-1.457624896	1.045182087	1.130235260
-60	5	2.35116898623564	-1.530352588	0.8776328345	1.172224613
-60	-2.84217e-14	2.41461695291356	-1.591119622	0.7000000000	1.207308476
-60	-5	2.47675563210945	-1.638802969	0.5128789867	1.234838470
-60	-10	2.53729409185473	-1.672181185	0.3169858500	1.254109392
-60	-15	2.59589642218956	-1.689924240	0.1132115683	1.264353350
-60	-20	2.65216471731044	-1.690594531	-0.09731120454	1.264740342
-60	-25	2.70562217526502	-1.672664113	-0.3131299146	1.254388211
-60	-30	2.75569884937893	-1.634555150	-0.5323859905	1.232385991
-60	-35	2.80171863366997	-1.574707502	-0.7527258324	1.197832935
-60	-40	2.84289274053374	-1.491682143	-0.9712197514	1.149898221
-60	-45	2.87832299144037	-1.384304712	-1.184304712	1.087903833

-55	45	1.82843781975658	-0.6586577781	1.858657778	0.8113009104
-55	40	1.88995364668137	-0.7758374751	1.770554755	0.8933510176
-55	35	1.95191660404419	-0.8869631835	1.671162076	0.9711620763
-55	30	2.01398543807972	-0.9913812711	1.561049378	1.044276408
-55	25	2.07589675048917	-1.088531054	1.440744196	1.112301419
-55	20	2.13745246410066	-1.177909985	1.310709290	1.174885220
-55	15	2.19850373624436	-1.259035272	1.171332081	1.231689758
-55	10	2.25893643882825	-1.331407139	1.022926491	1.282365084
-55	5	2.31865722620359	-1.394473944	0.8657449934	1.326524936
-55	-2.84217e-14	2.37757494824074	-1.447595379	0.7000000000	1.363720966
-55	-5	2.43558623071909	-1.490011546	0.5258965494	1.393421086
-55	-10	2.49255801450707	-1.520813186	0.3436761124	1.414988626
-55	-15	2.54830989841183	-1.538917161	0.1536737933	1.427665166
-55	-20	2.60259338427858	-1.543047740	-0.04360856469	1.430557429
-55	-25	2.65507092389404	-1.531730437	-0.2474114623	1.422632968
-55	-30	2.70529237483977	-1.503302658	-0.4566073287	1.402727622
-55	-35	2.75267075443813	-1.455950877	-0.6695715481	1.369571548
-55	-40	2.79645726202813	-1.387784380	-0.8840391767	1.321840853
-55	-45	2.83572793473580	-1.296964705	-1.096964705	1.258248233

-50	45	1.82863492454142	-0.6120302062	1.812030206	0.9331041359
-50	40	1.88727694739044	-0.7161621662	1.720481225	1.020481225
-50	35	1.94566168916605	-0.8134439045	1.619683323	1.102110296
-50	30	2.00355956739994	-0.9036596441	1.510403273	1.177810290
-50	25	2.06083248407006	-0.9866851077	1.393252651	1.247476926
-50	20	2.11741702468906	-1.062440694	1.268681906	1.311043410
-50	15	2.17330328178571	-1.130845881	1.136983837	1.368442177
-50	10	2.22851571875934	-1.191778536	0.9983062014	1.419570746
-50	5	2.28309665939781	-1.245038798	0.8526711122	1.464261412
-50	-2.84217e-14	2.33709380949339	-1.290317726	0.7000000000	1.502254943
-50	-5	2.39054459528213	-1.327164456	0.5401438237	1.533173022
-50	-10	2.44345983531438	-1.354953442	0.3729216601	1.556490749
-50	-15	2.49580828347720	-1.372853501	0.1981704170	1.571510682
-50	-20	2.54749720215601	-1.379796587	0.01580999570	1.577336623
-50	-25	2.59834814564784	-1.374449050	-0.1740699470	1.572849507
-50	-30	2.64806841898129	-1.355191548	-0.3710953394	1.556690543
-50	-35	2.69621680677541	-1.320115773	-0.5744587849	1.527258474
-50	-40	2.74216327926403	-1.267051327	-0.7827321165	1.482732117
-50	-45	2.78504612797990	-1.193643372	-0.9936433721	1.421135529

-45	45	1.82911477323551	-0.5560399067	1.756039907	1.056039907
-45	40	1.88444192185325	-0.6459675798	1.661580974	1.145967580
-45	35	1.93881962523268	-0.7286053235	1.560278709	1.228605324
-45	30	1.99215231268370	-0.8041698241	1.452962799	1.304169824
-45	25	2.04444223922071	-0.8729307402	1.340208118	1.372930740
-45	20	2.09575865609120	-0.9351568309	1.222354368	1.435156831
-45	15	2.14621620949196	-0.9910763942	1.099532716	1.491076394
-45	10	2.19595851244476	-1.040846649	0.9716928373	1.540846649
-45	5	2.24514055081625	-1.084524910	0.8386279667	1.584524910
-45	-2.84217e-14	2.29392126944109	-1.122047285	0.7000000000	1.622047285
-45	-5	2.34245249365246	-1.153203549	0.5553634310	1.653203549
-45	-10	2.39086665320104	-1.177608593	0.4041923420	1.677608593
-45	-15	2.43926630220148	-1.194671947	0.2459140204	1.694671947
-45	-20	2.48770776334109	-1.203560083	0.07995483753	1.703560083
-45	-25	2.53617871383243	-1.203152895	-0.09419323806	1.703152895
-45	-30	2.58457021295820	-1.191998377	-0.2768757185	1.691998377
-45	-35	2.63263832656865	-1.168269405	-0.4681348133	1.668269405
-45	-40	2.67995006459310	-1.129732312	-0.6675077817	1.629732312
-45	-45	2.72581787924556	-1.073751686	-0.8737516863	1.573751686


### -y patch
# N_rho = 10
# N_sigma = 19
# ghosted_gfn=-3
# dpx = 90 + dsigma = 90 + dphi
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-90	2.98915236411189	-1.613649907	-1.413649907	2.588474593e-16
-40	-90	3.00187823359516	-1.429570134	-1.599572140	2.816163660e-16
-35	-90	3.00547666376747	-1.223870594	-1.761942353	3.015009823e-16
-30	-90	2.99990084605891	-0.9999504230	-1.897990342	3.181620556e-16
-25	-90	2.98522642358350	-0.7616112020	-2.005533954	3.313323496e-16
-20	-90	2.96164881173695	-0.5129435511	-2.083039534	3.408240457e-16
-15	-90	2.92948239041082	-0.2582058349	-2.129662699	3.465337366e-16
-10	-90	2.88914532225474	-0.001694820224	-2.145252713	3.484429628e-16
-5	-90	2.84116974743864	0.2523757404	-2.130358239	3.466189158e-16
-2.84217e-14	-90	2.78618212969483	0.5000000000	-2.086182130	3.412089027e-16
5	-90	2.72488908688055	0.7374897323	-2.014520061	3.324328304e-16
10	-90	2.65808920856589	0.9615723471	-1.917706861	3.205766328e-16
15	-90	2.58663834353622	1.169471266	-1.798500779	3.059780982e-16
20	-90	2.51143825690655	1.358962473	-1.659979998	2.890141950e-16
25	-90	2.43342197080656	1.528408563	-1.505429281	2.700871910e-16
30	-90	2.35353260390010	1.676766302	-1.338219024	2.496098403e-16
35	-90	2.27270258597782	1.803568650	-1.161688969	2.279911437e-16
40	-90	2.19183499046683	1.908884374	-0.9790430147	2.056234654e-16
45	-90	2.11178431353291	1.993257009	-0.7932570085	1.828712416e-16

-45	-85	2.98622299142565	-1.607549443	-1.407549443	0.1843866840
-40	-85	2.99840165611963	-1.423021447	-1.591767718	0.2005036948
-35	-85	3.00149079684223	-1.217180247	-1.752387547	0.2145561089
-30	-85	2.99547155147926	-0.9934551715	-1.886740236	0.2263104461
-25	-85	2.98044371594556	-0.7556488902	-1.992747735	0.2355849005
-20	-85	2.95662234452223	-0.5078242485	-2.068974365	0.2422538666
-15	-85	2.92433582795483	-0.2541855789	-2.114658899	0.2462507454
-10	-85	2.88400833162066	0.001045768362	-2.129710063	0.2475675516
-5	-85	2.83617036026305	0.2537449880	-2.114707667	0.2462550120
-2.84217e-14	-85	2.78143906433170	0.5000000000	-2.070854849	0.2424183876
5	-85	2.72050708912861	0.7362123641	-1.999919677	0.2362123641
10	-85	2.65415063799154	0.9591871936	-1.904179983	0.2278362263
15	-85	2.58319998603416	1.166206719	-1.786317323	0.2175245797
20	-85	2.50852985848944	1.355082904	-1.649320970	0.2055389518
25	-85	2.43104614743508	1.524189915	-1.496382361	0.1921585574
30	-85	2.35166788981173	1.672473352	-1.330783417	0.1776705270
35	-85	2.27130498572251	1.799434288	-1.155784488	0.1623601047
40	-85	2.19084492337833	1.905095867	-0.9745280475	0.1465022209
45	-85	2.11113224367333	1.989947534	-0.7899475344	0.1303535185

-45	-80	2.97738215825029	-1.589151182	-1.389151182	0.3683737201
-40	-80	2.98793555660668	-1.403323307	-1.568292389	0.3999611483
-35	-80	2.98952035603838	-1.197106858	-1.723719777	0.4273671903
-30	-80	2.98219892592841	-0.9740126870	-1.853064865	0.4501742192
-25	-80	2.96614076736924	-0.7378388608	-1.954554003	0.4680694925
-20	-80	2.94161742609155	-0.4925596893	-2.027035334	0.4808499067
-15	-80	2.90899238134327	-0.2422143312	-2.069981594	0.4884224911
-10	-80	2.86870966634555	0.009198574265	-2.083473203	0.4908014257
-5	-80	2.82129156115680	0.2578161490	-2.068174084	0.4881037782
-2.84217e-14	-80	2.76732758866084	0.5000000000	-2.025285664	0.4805413928
5	-80	2.70746699093530	0.7324129811	-1.956492530	0.4684113070
10	-80	2.64242196524184	0.9520863450	-1.863909069	0.4520863450
15	-80	2.57295058697467	1.156475009	-1.749998087	0.4320007654
20	-80	2.49984830904604	1.343498083	-1.617491937	0.4086363561
25	-80	2.42394289314240	1.511567200	-1.469312860	0.3825083868
30	-80	2.34608054216437	1.659598192	-1.308482986	0.3541497407
35	-80	2.26710768009954	1.787003778	-1.138031880	0.3240946118
40	-80	2.18786420724026	1.893675619	-0.9609179263	0.2928646432
45	-80	2.10916408635956	1.979945270	-0.7799452703	0.2609542811

-45	-75	2.96247302973429	-1.558168037	-1.358168037	0.5514844634
-40	-75	2.97037397084827	-1.370325720	-1.528967396	0.5972500136
-35	-75	2.96953116444949	-1.163650173	-1.675938678	0.6366308500
-30	-75	2.96013265340590	-0.9417576926	-1.797197576	0.6691220738
-25	-75	2.94245642603280	-0.7084140594	-1.891452313	0.6943775546
-20	-75	2.91685746068964	-0.4674286454	-1.957988358	0.7122058341
-15	-75	2.88374665623069	-0.2225596571	-1.996629352	0.7225596571
-10	-75	2.84358850630062	0.02255887956	-2.007703146	0.7255268714
-5	-75	2.79689009998107	0.2644811293	-1.991993011	0.7213173532
-2.84217e-14	-75	2.74419533105173	0.5000000000	-1.950689143	0.7102500152
5	-75	2.68608095979065	0.7261879200	-1.885339756	0.6927396999
10	-75	2.62316292707607	0.9404314634	-1.797810951	0.6692864271
15	-75	2.55608526325267	1.140459899	-1.690228882	0.6404598987
20	-75	2.48552350453495	1.324368921	-1.564934995	0.6068875029
25	-75	2.41218250420579	1.490640074	-1.424434495	0.5692405072
30	-75	2.33679241977929	1.638154550	-1.271341507	0.5282193648
35	-75	2.26009955831540	1.766198202	-1.108318438	0.4845374651
40	-75	2.18286475412501	1.874462654	-0.9380208060	0.4389063522
45	-75	2.10584784132269	1.963030608	-0.7630306081	0.3920178699

-45	-70	2.94123897953010	-1.514134214	-1.314134214	0.7330849016
-40	-70	2.94555058197318	-1.323799769	-1.473519927	0.7910965569
-35	-70	2.94147747901654	-1.116830537	-1.609073309	0.8404339531
-30	-70	2.92936888730904	-0.8969309614	-1.719555400	0.8806461457
-25	-70	2.90963438312052	-0.6677702539	-1.804291391	0.9114875242
-20	-70	2.88271687509544	-0.4328920852	-1.863099939	0.9328920852
-15	-70	2.84907926466174	-0.1956565075	-1.896225431	0.9449487782
-10	-70	2.80919613747994	0.04079626786	-1.904273778	0.9478781369
-5	-70	2.76354316469533	0.2735662729	-1.888149344	0.9420093230
-2.84217e-14	-70	2.71260160485493	0.5000000000	-1.849011711	0.9277643897
5	-70	2.65685386824104	0.7176920308	-1.788231298	0.9056421284
10	-70	2.59679397613611	0.9244835273	-1.707365711	0.8762094619
15	-70	2.53292447664698	1.118461345	-1.608129164	0.8400903124
20	-70	2.46577065334666	1.297961793	-1.492382008	0.7979617930
25	-70	2.39588369486677	1.461578447	-1.362111634	0.7505472543
30	-70	2.32384484437777	1.608174128	-1.219413894	0.6986095245
35	-70	2.25026818943633	1.736896203	-1.066470847	0.6429428080
40	-70	2.17580403672585	1.847194960	-0.9055244338	0.5843631043
45	-70	2.10113158097768	1.938836162	-0.7388361620	0.5236935349

-45	-65	2.91333180904769	-1.456427391	-1.256427391	0.9122970753
-40	-65	2.91325161122359	-1.263468982	-1.401620495	0.9800017314
-35	-65	2.90532076313448	-1.056721164	-1.523228228	1.036708348
-30	-65	2.89006550563517	-0.8399003494	-1.620775482	1.082195380
-25	-65	2.86802177077362	-0.6164681629	-1.694273702	1.116468163
-20	-65	2.83971527713327	-0.3895842937	-1.744112760	1.139708497
-15	-65	2.80564191179663	-0.1620912896	-1.770958332	1.152226793
-10	-65	2.76626544398191	0.06347167442	-1.775675157	1.154426285
-5	-65	2.72201464058459	0.2848422552	-1.759264276	1.146773765
-2.84217e-14	-65	2.67328689669908	0.5000000000	-1.722820731	1.129779861
5	-65	2.62045440976762	0.7071300619	-1.667507441	1.103986851
10	-65	2.56387600454897	0.9045904205	-1.594546296	1.069964510
15	-65	2.50390109279265	1.090884780	-1.505212020	1.028307253
20	-65	2.44088870555015	1.264645763	-1.400846968	0.9796410298
25	-65	2.37521860864518	1.424628949	-1.282873181	0.9246289493
30	-65	2.30730460608617	1.569719092	-1.152807817	0.8639784741
35	-65	2.23760355018553	1.698946722	-1.012273371	0.7984461855
40	-65	2.16662710558870	1.811517235	-0.8630053761	0.7288413766
45	-65	2.09494479372511	1.906845374	-0.7068453738	0.6560227717

-45	-60	2.87832298183184	-1.384304706	-1.184304706	1.087903829
-40	-60	2.87323893063931	-1.189059029	-1.312942166	1.162172701
-35	-60	2.86105405629107	-0.9834919844	-1.418646121	1.223200908
-30	-60	2.84245415048078	-0.7711841407	-1.501755517	1.271184141
-25	-60	2.81808203126373	-0.5552409105	-1.562971435	1.306527167
-20	-60	2.78850968966967	-0.3383001271	-1.603210670	1.329759300
-15	-60	2.75423520372477	-0.1225800621	-1.623500423	1.341473595
-10	-60	2.71568470469833	0.09005711159	-1.624901650	1.342282594
-5	-60	2.67321667229216	0.2980361865	-1.608456951	1.332788242
-2.84217e-14	-60	2.62713111964861	0.5000000000	-1.575162289	1.313565560
5	-60	2.57768143097816	0.6947460440	-1.525957469	1.285157144
10	-60	2.52508771880983	0.8811715517	-1.461731292	1.248076143
15	-60	2.46954749240039	1.058227935	-1.383335017	1.202814033
20	-60	2.41125471115005	1.224887254	-1.291611361	1.149857355
25	-60	2.35041738613546	1.380122209	-1.187428168	1.089707161
30	-60	2.28727319008718	1.522899667	-1.071714195	1.022899667
35	-60	2.22210799944126	1.652190536	-0.9454986169	0.9500290694
40	-60	2.15527396647302	1.766996947	-0.8099481632	0.8717689785
45	-60	2.08720351867957	1.866395445	-0.6663954450	0.7888887780

-45	-55	2.83572786946337	-1.296964664	-1.096964664	1.258248204
-40	-55	2.82528624352047	-1.100369209	-1.207245754	1.335467854
-35	-55	2.80873248810705	-0.8974646608	-1.295786370	1.397464661
-30	-55	2.78687302935832	-0.6914859184	-1.363714147	1.445028203
-25	-55	2.76039972705141	-0.4849960385	-1.412330821	1.479069964
-20	-55	2.72988424792645	-0.2799778942	-1.442971652	1.500524905
-15	-55	2.69578467714725	-0.07794298001	-1.456912565	1.510286437
-10	-55	2.65845741843898	0.1199599460	-1.455314249	1.509167284
-5	-55	2.61816982324144	0.3128448935	-1.439192656	1.497878823
-2.84217e-14	-55	2.57511536044319	0.5000000000	-1.409411012	1.477025492
5	-55	2.52942710408156	0.6808114947	-1.366684841	1.447108305
10	-55	2.48119491259646	0.8546994742	-1.311600679	1.408537960
15	-55	2.43047846352028	1.021064601	-1.244639563	1.361651281
20	-55	2.37732058055265	1.179244002	-1.166207557	1.306732599
25	-55	2.32176959852965	1.328479236	-1.076679455	1.244044347
30	-55	2.26389481284433	1.467894397	-0.9764422720	1.173857516
35	-55	2.20380838661148	1.596489022	-0.8659486114	1.096489022
40	-55	2.14169148327471	1.713150389	-0.7457763339	1.012343488
45	-55	2.07781554088604	1.816685266	-0.6166852664	0.9219529490

-45	-50	2.78504609658671	-1.193643353	-0.9936433530	1.421135513
-40	-50	2.76922108785528	-0.9973627121	-1.084487392	1.497362712
-35	-50	2.74851628913059	-0.7991799180	-1.155421210	1.556883253
-30	-50	2.72378030984347	-0.6017194172	-1.208234006	1.601198451
-25	-50	2.69568374604624	-0.4068131047	-1.244666979	1.631769345
-20	-50	2.66473682121613	-0.2156774483	-1.266307629	1.649928006
-15	-50	2.63131179595780	-0.02907513376	-1.274535280	1.656831825
-10	-50	2.59566534515083	0.1525476295	-1.270500312	1.653446085
-5	-50	2.55795872950951	0.3289488083	-1.255124067	1.640543884
-2.84217e-14	-50	2.51827565207685	0.5000000000	-1.229111070	1.618716387
5	-50	2.47663819840489	0.6656132721	-1.192968362	1.588389055
10	-50	2.43302293380609	0.8256812699	-1.147030265	1.549842414
15	-50	2.38737145141002	0.9800263017	-1.091482547	1.503232344
20	-50	2.33960241056416	1.128354992	-1.026391151	1.448614178
25	-50	2.28962679563472	1.270217792	-0.9517373855	1.385972231
30	-50	2.23736557207409	1.404973534	-0.8674601412	1.315255226
35	-50	2.18277016482997	1.531760727	-0.7735070253	1.236419201
40	-50	2.12584790551269	1.649480408	-0.6698974056	1.149480408
45	-50	2.06669333277317	1.756798381	-0.5567983812	1.054579058

-45	-45	2.72581771746475	-1.073751593	-0.8737515929	1.573751593
-40	-45	2.70498035295342	-0.8802800772	-0.9449537408	1.644953741
-35	-45	2.68070494063185	-0.6894625759	-0.9987286068	1.698728607
-30	-45	2.65377936036446	-0.5030343174	-1.037306400	1.737306400
-25	-45	2.62476905818807	-0.3219349157	-1.062645115	1.762645115
-20	-45	2.59406119929069	-0.1465530725	-1.076389967	1.776389967
-15	-45	2.56190203219243	0.02308454678	-1.079872702	1.779872702
-10	-45	2.52842754775865	0.1871727537	-1.074131475	1.774131475
-5	-45	2.49368717618593	0.3460253267	-1.059938569	1.759938569
-2.84217e-14	-45	2.45766185045934	0.5000000000	-1.037829360	1.737829360
5	-45	2.42027835745381	0.6494419881	-1.008129740	1.708129740
10	-45	2.38142214784785	0.7946391458	-0.9709816307	1.670981631
15	-45	2.34094419603566	0.9357826522	-0.9263629990	1.626362999
20	-45	2.29866847358433	1.072928335	-0.8741076638	1.574107664
25	-45	2.25440170608701	1.205956004	-0.8139275367	1.513927537
30	-45	2.20794498113261	1.334524761	-0.7454392866	1.445439287
35	-45	2.15911179328485	1.458025121	-0.6682016670	1.368201667
40	-45	2.10774848105241	1.575528417	-0.5817648545	1.281764854
45	-45	2.05376869252823	1.685743907	-0.4857439075	1.185743907