path: root/test/Kerr-modification-radius2/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	3.71162422655460	-1.642907246	-1.442907246	2.142907246
-40	-45	3.70047386359908	-1.388254140	-1.550333655	2.250333655
-35	-45	3.68669923607802	-1.135834927	-1.636214390	2.336214390
-30	-45	3.67083925891300	-0.8874468260	-1.703128395	2.403128395
-25	-45	3.65326322576350	-0.6440033523	-1.753323106	2.453323106
-20	-45	3.63424912427649	-0.4058132237	-1.788701378	2.488701378
-15	-45	3.61409309130001	-0.1727879610	-1.810878853	2.510878853
-10	-45	3.59281400573609	0.05548257143	-1.820983611	2.520983611
-5	-45	3.57054373877972	0.2795339725	-1.819938226	2.519938226
-2.38542e-15	-45	3.54721498906607	0.5000000000	-1.808259773	2.508259773
5	-45	3.52280981268121	0.7175186588	-1.786249646	2.486249646
10	-45	3.49725795785378	0.9326948492	-1.753934432	2.453934432
15	-45	3.47043763970078	1.146045524	-1.711074718	2.411074718
20	-45	3.44224583811697	1.357957639	-1.657219241	2.357219241
25	-45	3.41253955203551	1.568621790	-1.591666824	2.291666824
30	-45	3.38118608964251	1.777968219	-1.513505885	2.213505885
35	-45	3.34803330489919	1.985564584	-1.421606099	2.121606099
40	-45	3.31293344017244	2.190502491	-1.314662417	2.014662417
45	-45	3.27579666582540	2.391282087	-1.191282087	1.891282087

-45	-40	3.67922823626021	-1.737413756	-1.177413057	2.237413756
-40	-40	3.66737093784897	-1.483006889	-1.283006889	2.363255584
-35	-40	3.65274705888233	-1.226595416	-1.369080233	2.465833801
-30	-40	3.63590168185608	-0.9706558629	-1.437397102	2.547250675
-25	-40	3.61722234341512	-0.7168135927	-1.489601262	2.609465170
-20	-40	3.59701442563620	-0.4660624213	-1.527167348	2.654234688
-15	-40	3.57553591696698	-0.2189292985	-1.551372000	2.683080669
-10	-40	3.55285205554354	0.02441986757	-1.563176697	2.697148959
-5	-40	3.52917657707573	0.2640032843	-1.563433331	2.697454804
-2.38542e-15	-40	3.50442988455732	0.5000000000	-1.552604109	2.684549039
5	-40	3.47864585994432	0.7326177169	-1.531025514	2.658832671
10	-40	3.45181026872436	0.9620548109	-1.498812796	2.620443049
15	-40	3.42384236392766	1.188428433	-1.455856635	2.569249890
20	-40	3.39475994805494	1.411742247	-1.401937222	2.504991236
25	-40	3.36442420308637	1.631773696	-1.336575798	2.427096524
30	-40	3.33278689956450	1.848051466	-1.259208385	2.334893631
35	-40	3.29979075690395	2.059758588	-1.169149908	2.227566118
40	-40	3.26542898636924	2.265670363	-1.065670363	2.104243998
45	-40	3.22970077569634	2.464046935	-0.9480310591	1.964046935

-45	-35	3.64587849341554	-1.810346805	-0.9177222485	2.310346805
-40	-35	3.63283207626943	-1.557799491	-1.017181920	2.452389937
-35	-35	3.61700221904061	-1.299613456	-1.099613456	2.570114370
-30	-35	3.59894817805464	-1.038676513	-1.166099231	2.665065897
-25	-35	3.57902918775204	-0.7771083612	-1.217705802	2.738767719
-20	-35	3.55761807493311	-0.5164765984	-1.255502153	2.792746502
-15	-35	3.53485214731830	-0.2578286950	-1.280365606	2.828255193
-10	-35	3.51087391762141	-0.001897342381	-1.293071628	2.846401273
-5	-35	3.48597490295431	0.2508114262	-1.294358021	2.848238432
-2.38542e-15	-35	3.46006659844686	0.5000000000	-1.284612669	2.834320627
5	-35	3.43323578606236	0.7454186140	-1.264185491	2.805147594
10	-35	3.40551573554313	0.9868358526	-1.233261334	2.760983320
15	-35	3.37687560519233	1.223960473	-1.191860827	2.701857268
20	-35	3.34741397669048	1.456417440	-1.139960080	2.627735321
25	-35	3.31704078016557	1.683622791	-1.077327878	2.538287266
30	-35	3.28579226506876	1.904791382	-1.003724009	2.433170048
35	-35	3.25362855746855	2.118819502	-0.9188195022	2.311913845
40	-35	3.22064770059971	2.324319721	-0.8223489241	2.174139582
45	-35	3.18694515131862	2.519526586	-0.7140877392	2.019526586

-45	-30	3.61201343687999	-1.864617855	-0.6652127552	2.364617855
-40	-30	3.59733413076298	-1.614724824	-0.7550559925	2.520230907
-35	-30	3.58004511329412	-1.356297758	-0.8305947903	2.651067943
-30	-30	3.56063271001693	-1.092363357	-0.8923633565	2.758054238
-25	-30	3.53935940601705	-0.8253258069	-0.9409278252	2.842170365
-20	-30	3.51662472154454	-0.5571908578	-0.9769762165	2.904608010
-15	-30	3.49258440233265	-0.2894799293	-1.001092829	2.946379208
-10	-30	3.46744080696858	-0.02342331837	-1.013853391	2.968481149
-5	-30	3.44147581341387	0.2399935492	-1.015819951	2.971887332
-2.38542e-15	-30	3.41464498104813	0.5000000000	-1.007322491	2.957169298
5	-30	3.38708605151625	0.7558972577	-0.9887027946	2.924919039
10	-30	3.35890290242897	1.007039111	-0.9602063161	2.875561691
15	-30	3.33007100582829	1.252744650	-0.9219393019	2.809281278
20	-30	3.30068524559879	1.492273712	-0.8740009507	2.726249618
25	-30	3.27076092978019	1.724748145	-0.8163994395	2.626480874
30	-30	3.24042263968609	1.949161060	-0.7491610596	2.510020584
35	-30	3.20966635161866	2.164251780	-0.6722448854	2.376797862
40	-30	3.17857573879561	2.368553984	-0.5856758667	2.226855923
45	-30	3.14727464065994	2.560374896	-0.4895580010	2.060374896

-45	-25	3.57790472052564	-1.902716634	-0.4204051670	2.402716634
-40	-25	3.56135639543121	-1.655784112	-0.4980205967	2.569163461
-35	-25	3.54239020293762	-1.398074000	-0.5640344377	2.710730599
-30	-25	3.52136828353536	-1.132586730	-0.6185889667	2.827723164
-25	-25	3.49860021828688	-0.8619407629	-0.6619407629	2.920691391
-20	-25	3.47449807895314	-0.5884397264	-0.6944760645	2.990463571
-15	-25	3.44922701537264	-0.3139681522	-0.7165356478	3.037770500
-10	-25	3.42303911899471	-0.04016997474	-0.7285130665	3.063456157
-5	-25	3.39618999084781	0.2315530312	-0.7308011153	3.068362894
-2.38542e-15	-25	3.36868142439222	0.5000000000	-0.7236662879	3.053062207
5	-25	3.34069476934466	0.7640604286	-0.7074212028	3.018224510
10	-25	3.31238628536219	1.022708492	-0.6823350904	2.964427168
15	-25	3.28375944403810	1.274920176	-0.6485810851	2.892041470
20	-25	3.25494081735381	1.519660052	-0.6063576258	2.801492969
25	-25	3.22592485657244	1.755793256	-0.5557932562	2.693057329
30	-25	3.19688282146144	1.982147862	-0.4970842231	2.567155401
35	-25	3.16788165154124	2.197405834	-0.4303981980	2.424146759
40	-25	3.13902576868482	2.400136108	-0.3559509094	2.264494033
45	-25	3.11041070386674	2.588774331	-0.2740114666	2.088774331

-45	-20	3.54377432799553	-1.926745045	-0.1832629625	2.426745045
-40	-20	3.52509817326531	-1.682638884	-0.2467476283	2.601167731
-35	-20	3.50422745656252	-1.426155138	-0.3012219216	2.750834621
-30	-20	3.48144181345574	-1.160198509	-0.3466139406	2.875548169
-25	-20	3.45713934754544	-0.8875092063	-0.3830018380	2.975523095
-20	-20	3.43169613224721	-0.6105503243	-0.4105503243	3.051211939
-15	-20	3.40528846792053	-0.3314654885	-0.4294256418	3.103071448
-10	-20	3.37819666610808	-0.05221509680	-0.4398701284	3.131767439
-5	-20	3.35065232670294	0.2254608851	-0.4421373005	3.137996443
-2.38542e-15	-20	3.32269679621553	0.5000000000	-0.4364292345	3.122313661
5	-20	3.29454473943379	0.7699418826	-0.4230118998	3.085449836
10	-20	3.26639375259227	1.033939294	-0.4021456222	3.028120210
15	-20	3.23829054435234	1.290689792	-0.3740377536	2.950894476
20	-20	3.21036904802014	1.538925432	-0.3389254322	2.854424166
25	-20	3.18264130477850	1.777340502	-0.2970111229	2.739265547
30	-20	3.15524356187453	2.004644035	-0.2485500763	2.606119916
35	-20	3.12828737407488	2.219513609	-0.1938089593	2.455719933
40	-20	3.10185738745437	2.420580424	-0.1330764083	2.288858620
45	-20	3.07603218904030	2.606439401	-0.06668124227	2.106439401

-45	-15	3.50961915483806	-1.938295942	0.04666057139	2.438295942
-40	-15	3.48866863559707	-1.696675146	-0.001462984303	2.617895497
-35	-15	3.46581805198995	-1.441689944	-0.04302863657	2.773020623
-30	-15	3.44126857031109	-1.176099018	-0.07788026136	2.903088658
-25	-15	3.41547346873842	-0.9026736718	-0.1060027989	3.008043396
-20	-15	3.38874994176276	-0.6239403399	-0.1274272950	3.088000705
-15	-15	3.36128608752919	-0.3422132775	-0.1422132775	3.143182742
-10	-15	3.33341524907886	-0.05968348019	-0.1505036264	3.174122746
-5	-15	3.30536302766415	0.2216639411	-0.1524524115	3.181395711
-2.38542e-15	-15	3.27719981022975	0.5000000000	-0.1482017255	3.165531935
5	-15	3.24915542891212	0.7736029626	-0.1379564839	3.127296173
10	-15	3.22143862674527	1.040882503	-0.1219333715	3.067497103
15	-15	3.19409605299976	1.300321673	-0.1003216731	2.986841147
20	-15	3.16728757226663	1.550488331	-0.07335307518	2.886192969
25	-15	3.14105011418652	1.789972924	-0.04124281935	2.766355863
30	-15	3.11548487065193	2.017423306	-0.004238607346	2.628254263
35	-15	3.09073783509339	2.231554999	0.03738393501	2.472916820
40	-15	3.06685469913109	2.431075776	0.08335070642	2.301366494
45	-15	3.04387403673247	2.614721109	0.1333621866	2.114721109

-45	-10	3.47554544497217	-1.938699329	0.2699915104	2.438699329
-40	-10	3.45227553592749	-1.699109172	0.2378829090	2.620796257
-35	-10	3.42736338483113	-1.445663924	0.2100409144	2.778696054
-30	-10	3.40102173620421	-1.181024409	0.1866028918	2.911619686
-25	-10	3.37373427985841	-0.9079370215	0.1676105363	3.019330686
-20	-10	3.34579651376097	-0.6289376785	0.1530811766	3.101730780
-15	-10	3.31740411902563	-0.3464184696	0.1430048032	3.158876733
-10	-10	3.28891515064629	-0.06269348690	0.1373065131	3.191193342
-5	-10	3.26055462259370	0.2201091565	0.1359005456	3.199166980
-2.38542e-15	-10	3.23240888052428	0.5000000000	0.1386980884	3.183301326
5	-10	3.20471248474505	0.7750972716	0.1455616380	3.144376203
10	-10	3.17767194745451	1.043661124	0.1563388758	3.083255450
15	-10	3.15133635506196	1.304047140	0.1708877333	3.000744779
20	-10	3.12586727213890	1.554729218	0.1890317915	2.897844711
25	-10	3.10130118157554	1.794244415	0.2106016254	2.775516104
30	-10	3.07771011564621	2.021221042	0.2354080051	2.634832134
35	-10	3.05521057806866	2.234398234	0.2632420572	2.476977380
40	-10	3.03384854966857	2.432570012	0.2938929985	2.303147254
45	-10	3.01364160631528	2.614593488	0.3271401149	2.114593488

-45	-5	3.44142246189994	-1.928809909	0.4875066671	2.428809909
-40	-5	3.41580171852136	-1.690720496	0.4715846829	2.610799022
-35	-5	3.38884898252399	-1.438791396	0.4577542959	2.768881068
-30	-5	3.36079486839600	-1.175594774	0.4460890638	2.902215281
-25	-5	3.33210707925254	-0.9038032437	0.4366183731	3.010465771
-20	-5	3.30309390692217	-0.6259260556	0.4293576327	3.093456414
-15	-5	3.27395212965930	-0.3443515477	0.4243089715	3.151162876
-10	-5	3.24503818820174	-0.06141499942	0.4214411102	3.183942679
-5	-5	3.21657640728469	0.2207156267	0.4207156267	3.192234995
-2.38542e-15	-5	3.18865411332360	0.5000000000	0.4220904824	3.176520322
5	-5	3.16150405703336	0.7745026288	0.4254973712	3.137579404
10	-5	3.13532282378312	1.042433450	0.4308592398	3.076292966
15	-5	3.11015812024560	1.302109108	0.4381016407	2.993511944
20	-5	3.08615690602635	1.551978712	0.4471325871	2.890287756
25	-5	3.06333773882470	1.790571807	0.4578628603	2.767640171
30	-5	3.04176821796177	2.016537346	0.4701918010	2.626719734
35	-5	3.02152614344413	2.228642651	0.4840117008	2.468757557
40	-5	3.00264378990013	2.425742135	0.4992126329	2.295010107
45	-5	2.98511802316069	2.606769603	0.5156815431	2.106769603

-45	-2.38542e-15	3.40722156699282	-1.909269475	0.7000000000	2.409269475
-40	-2.38542e-15	3.37930671879243	-1.672176488	0.7000000000	2.588699134
-35	-2.38542e-15	3.35041720655533	-1.421720362	0.7000000000	2.744501104
-30	-2.38542e-15	3.32080995372286	-1.160404977	0.7000000000	2.875905781
-25	-2.38542e-15	3.29088985727580	-0.8907901511	0.7000000000	2.982559104
-20	-2.38542e-15	3.26100059381954	-0.6153278905	0.7000000000	3.064338194
-15	-2.38542e-15	3.23132872516480	-0.3363294151	0.7000000000	3.121223869
-10	-2.38542e-15	3.20220665938092	-0.05605735091	0.7000000000	3.153557945
-5	-2.38542e-15	3.17385861703599	0.2233799949	0.7000000000	3.161781127
-2.38542e-15	-2.38542e-15	3.14635781852382	0.5000000000	0.7000000000	3.146357819
5	-2.38542e-15	3.11992592311599	0.7719194611	0.7000000000	3.108053663
10	-2.38542e-15	3.09474004720558	1.037395970	0.7000000000	3.047723992
15	-2.38542e-15	3.07084127330474	1.294792206	0.7000000000	2.966204894
20	-2.38542e-15	3.04835319658022	1.542598197	0.7000000000	2.864515004
25	-2.38542e-15	3.02727095060034	1.779379987	0.7000000000	2.743639236
30	-2.38542e-15	3.00768009277044	2.003840046	0.7000000000	2.604727367
35	-2.38542e-15	2.98961166947569	2.214770807	0.7000000000	2.448946511
40	-2.38542e-15	2.97308316587022	2.411061022	0.7000000000	2.277513838
45	-2.38542e-15	2.95808165072504	2.591679595	0.7000000000	2.091679595

-45	5	3.37279904868490	-1.880378416	0.9082561263	2.380378416
-40	5	3.34270806557858	-1.643841966	0.9235275305	2.554931365
-35	5	3.31203316482005	-1.394844367	0.9367546651	2.706118205
-30	5	3.28106818683661	-1.135845364	0.9478875170	2.833367285
-25	5	3.25012908785758	-0.8692662473	0.9569017941	2.936400943
-20	5	3.21959874136429	-0.5974650475	0.9638011058	3.015260437
-15	5	3.18963692176147	-0.3226066738	0.9685910633	3.070009901
-10	5	3.16053448920399	-0.04679525032	0.9713049669	3.101029962
-5	5	3.13251838626480	0.2280140983	0.9719859017	3.108813082
-2.38542e-15	5	3.10563388432850	0.5000000000	0.9706738279	3.093816010
5	5	3.08007907579313	0.7674327750	0.9674327750	3.056770606
10	5	3.05599972598374	1.028709983	0.9623315479	2.998463313
15	5	3.03342562302979	1.282319814	0.9554369144	2.919657292
20	5	3.01245551237245	1.526856108	0.9468286141	2.821263969
25	5	2.99306887206063	1.760967817	0.9365828379	2.704154211
30	5	2.97537109021827	1.983433665	0.9247918390	2.569382477
35	5	2.95935198084933	2.193072246	0.9115438923	2.417957754
40	5	2.94501513569263	2.388782064	0.8969337279	2.250962810
45	5	2.93235673848675	2.569532927	0.8810606699	2.069532927

-45	10	3.33807624058299	-1.842240784	1.113000246	2.342240784
-40	10	3.30598827209198	-1.605923776	1.142535269	2.509742226
-35	10	3.27373300839322	-1.358450212	1.167996839	2.654141966
-30	10	3.24163855828475	-1.102246021	1.189337614	2.775171514
-25	10	3.20995509094675	-0.8395881937	1.206544419	2.872756152
-20	10	3.17906403754058	-0.5726788553	1.219663989	2.947160933
-15	10	3.14908187582068	-0.3034719215	1.228733738	2.998598034
-10	10	3.12024270249275	-0.03383567706	1.233835677	3.027532570
-5	10	3.09277658040789	0.2345114724	1.235072644	3.034547756
-2.38542e-15	10	3.06668897994003	0.5000000000	1.232524953	3.020099084
5	10	3.04214234616053	0.7611420098	1.226312556	2.984866831
10	10	3.01924169206676	1.016555629	1.216555629	2.929532550
15	10	2.99800336808785	1.264925023	1.203367517	2.854739050
20	10	2.97850497331625	1.505006275	1.186879710	2.761232046
25	10	2.96074933083467	1.735588890	1.167218701	2.649728926
30	10	2.94481748827984	1.955536149	1.144531350	2.521062561
35	10	2.93067717324079	2.163702446	1.118955257	2.376013333
40	10	2.91834055332656	2.358991095	1.090645252	2.215459316
45	10	2.90781739440603	2.540339406	1.059766887	2.040339406

-45	15	3.30292648018095	-1.794696911	1.314862184	2.294696911
-40	15	3.26909008710755	-1.558415314	1.357312553	2.453123845
-35	15	3.23552516683299	-1.312670655	1.393656683	2.588761983
-30	15	3.20259680671663	-1.059851913	1.423929792	2.701742766
-25	15	3.17051142459447	-0.8020721555	1.448195266	2.792302748
-20	15	3.13958845214329	-0.5413014157	1.466589812	2.860952127
-15	15	3.10989359337264	-0.2792236685	1.479223668	2.908102321
-10	15	3.08158621477111	-0.01740115416	1.486250753	2.934327759
-5	15	3.05489240678496	0.2427554233	1.487856092	2.940318966
-2.38542e-15	15	3.02976974609666	0.5000000000	1.484162113	2.926532845
5	15	3.00633715847706	0.7531558650	1.475333704	2.893584778
10	15	2.98465597445488	1.001126478	1.461519505	2.842029483
15	15	2.96472983512661	1.242851030	1.442851030	2.772357785
20	15	2.94662940038879	1.477303049	1.419475215	2.685118059
25	15	2.93038034049062	1.703454628	1.391527771	2.580816778
30	15	2.91602762678398	1.920275966	1.359152370	2.459990133
35	15	2.90354329770962	2.126681129	1.322483865	2.323141412
40	15	2.89296891526296	2.321586851	1.281686259	2.170882674
45	15	2.88432981161500	2.503878303	1.236937573	2.003878303

-45	20	3.26725112219570	-1.737384421	1.514341332	2.237384421
-40	20	3.23195431488932	-1.501132681	1.568016983	2.384857062
-35	20	3.19742150195627	-1.257514297	1.613561845	2.509990540
-30	20	3.16401126074639	-1.008825096	1.651185880	2.613361726
-25	20	3.13186962174634	-0.7569634881	1.681106116	2.695566899
-20	20	3.10123117525421	-0.5036067166	1.703606717	2.757386792
-15	20	3.07214455857949	-0.2501221116	1.718932426	2.799493832
-10	20	3.04464468979713	0.002308797184	1.727323118	2.822547070
-5	20	3.01893265956371	0.2526406742	1.729063974	2.827330031
-2.38542e-15	20	2.99492020908019	0.5000000000	1.724323039	2.814304420
5	20	2.97267736954934	0.7435693514	1.713296927	2.784010426
10	20	2.95222758486908	0.9825842906	1.696139766	2.736871514
15	20	2.93359058565782	1.216291543	1.672978490	2.673236430
20	20	2.91682661461024	1.443930528	1.643930528	2.593427812
25	20	2.90194678739522	1.664684868	1.609079267	2.497674759
30	20	2.88898336787792	1.877672280	1.568505185	2.386198385
35	20	2.87794467737830	2.081908708	1.522281469	2.259199768
40	20	2.86888561700063	2.276331039	1.470506386	2.116948897
45	20	2.86185991684991	2.459776140	1.413300181	1.959776140

-45	25	3.23091100735909	-1.669695458	1.711745608	2.169695458
-40	25	3.19449450030520	-1.433712812	1.774610284	2.304509191
-35	25	3.15942793088799	-1.192876184	1.827381649	2.417677748
-30	25	3.12595763530337	-0.9492653262	1.870526033	2.510201179
-25	25	3.09415867949949	-0.7044991053	1.904499105	2.583056667
-20	25	3.06413161627547	-0.4598861483	1.929777107	2.637265518
-15	25	3.03594321444939	-0.2164390971	1.946807406	2.673787111
-10	25	3.00952713887125	0.02508395550	1.955944993	2.693382729
-5	25	2.98498749542755	0.2640559429	1.957563166	2.696852913
-2.38542e-15	25	2.96221952634560	0.5000000000	1.951888067	2.684682624
5	25	2.94125478833430	0.7324872679	1.939138753	2.657341632
10	25	2.92208587394268	0.9611174450	1.919453739	2.615126983
15	25	2.90472178645375	1.185472720	1.892917120	2.558219019
20	25	2.88919420072496	1.405084324	1.859566667	2.486698743
25	25	2.87552184058076	1.619387802	1.819387802	2.400534889
30	25	2.86372268218945	1.827687215	1.772331216	2.299621713
35	25	2.85388580672515	2.029161424	1.718354764	2.183868840
40	25	2.84605625049799	2.222793836	1.657397584	2.053145744
45	25	2.84034020272165	2.407410394	1.589440074	1.907410394

-45	30	3.19383241209733	-1.590854112	1.907155185	2.090854112
-40	30	3.15675173626082	-1.355724550	1.976848456	2.211566399
-35	30	3.12161318995865	-1.118595124	2.034599072	2.311593400
-30	30	3.08850979970820	-0.8812235723	2.081223572	2.392349404
-25	30	3.05746773566505	-0.6448797449	2.117511845	2.455202536
-20	30	3.02843174368912	-0.4104270733	2.144171161	2.501377826
-15	30	3.00145404975716	-0.1784625533	2.161883629	2.532056720
-10	30	2.97636797046824	0.05070598561	2.171130618	2.548072975
-5	30	2.95318644388247	0.2768842300	2.172373044	2.550224920
-2.38542e-15	30	2.93179294529056	0.5000000000	2.165896473	2.539007169
5	30	2.91217529339019	0.7200173424	2.151926075	2.514809731
10	30	2.89429360506212	0.9369045782	2.130563688	2.477808991
15	30	2.87814733732084	1.150589734	2.101826050	2.428033941
20	30	2.86373596093278	1.360915144	2.065632525	2.365344917
25	30	2.85110315038783	1.567605787	2.021836512	2.289487998
30	30	2.84029664865663	1.770219277	1.970219277	2.200084324
35	30	2.83141953113285	1.968126116	1.910531110	2.096701386
40	30	2.82454203270402	2.160432125	1.842475695	1.978825950
45	30	2.81980732850981	2.345997218	1.765786991	1.845997218

-45	35	3.15594909565994	-1.499884780	2.100334399	1.999884780
-40	35	3.11870060058476	-1.266572298	2.174160152	2.105318883
-35	35	3.08399738720957	-1.034420733	2.234420733	2.191379911
-30	35	3.05173417480891	-0.8047233433	2.282361989	2.259847120
-25	35	3.02190015891774	-0.5783074843	2.319186423	2.312437862
-20	35	2.99428000288108	-0.3555206006	2.345854296	2.350523532
-15	35	2.96880764845676	-0.1364757371	2.363244830	2.375359789
-10	35	2.94528528495390	0.07895643884	2.371995257	2.387856694
-5	35	2.92363292767145	0.2910094192	2.372637050	2.388773269
-2.38542e-15	35	2.90371950970201	0.5000000000	2.365505089	2.378587772
5	35	2.88549284480833	0.7062642064	2.350816761	2.357610667
10	35	2.86888759635807	0.9101221217	2.328625410	2.325918133
15	35	2.85389946319343	1.111840840	2.298868667	2.283421100
20	35	2.84051874946191	1.311588196	2.261336943	2.229820243
25	35	2.82879731242469	1.509402413	2.215718575	2.164670461
30	35	2.81879061030758	1.705131803	2.161577864	2.087349513
35	35	2.81061667986064	1.898402127	2.098402127	1.997125210
40	35	2.80440210948436	2.088539496	2.025596256	1.893147651
45	35	2.80032648454479	2.274531257	1.942540163	1.774531257

-45	40	3.11719495928273	-1.395629853	2.290622311	1.895629853
-40	40	3.08044975328856	-1.165649094	2.365649094	1.985043292
-35	40	3.04675443087370	-0.9401523424	2.425818751	2.056750697
-30	40	3.01587252593695	-0.7198653870	2.472907455	2.112868829
-25	40	2.98761300285521	-0.5050164923	2.508481918	2.155264823
-20	40	2.96173078086054	-0.2954421281	2.533818080	2.185459285
-15	40	2.93801050424461	-0.09074272494	2.549947739	2.204681864
-10	40	2.91624874119411	0.1096347552	2.557658605	2.213871316
-5	40	2.89628049320609	0.3063251670	2.557526157	2.213713471
-2.38542e-15	40	2.87795813569914	0.5000000000	2.549915831	2.204643837
5	40	2.86119195743729	0.6913284559	2.535022165	2.186894258
10	40	2.84589289580565	0.8809475033	2.512841735	2.160460650
15	40	2.83204696193527	1.069436745	2.483226733	2.125166865
20	40	2.81963402303524	1.257278718	2.445835876	2.080606177
25	40	2.80870540473962	1.444832966	2.400184372	2.026200834
30	40	2.79932513402276	1.632275920	2.345608147	1.961159421
35	40	2.79162372885012	1.819556119	2.281301246	1.884521441
40	40	2.78579284539044	2.006323330	2.206323330	1.795166240
45	40	2.78203675173416	2.191813309	2.119599924	1.691813309

-45	45	3.07763876566869	-1.276875570	2.476875570	1.776875570
-40	45	3.04207223974202	-1.052289170	2.549946195	1.849946195
-35	45	3.00997146660568	-0.8355622843	2.607380614	1.907380614
-30	45	2.98100325821137	-0.6267133255	2.651524725	1.951524725
-25	45	2.95475559081018	-0.4252687508	2.684245239	1.984245239
-20	45	2.93094928267072	-0.2305202608	2.707087921	2.007087921
-15	45	2.90924502348933	-0.04157570878	2.721188061	2.021188061
-10	45	2.88943184009244	0.1425078477	2.727438744	2.027438744
-5	45	2.87128026383466	0.3227105450	2.726427744	2.026427744
-2.38542e-15	45	2.85463033683260	0.5000000000	2.718528469	2.018528469
5	45	2.83936471415988	0.6753188044	2.703903104	2.003903104
10	45	2.82537722715476	0.8495670574	2.682493297	1.982493297
15	45	2.81264197439858	1.023592395	2.654073422	1.954073422
20	45	2.80113269774542	1.198164312	2.618190682	1.918190682
25	45	2.79089342755718	1.373956033	2.574204761	1.874204761
30	45	2.78200904566785	1.551500583	2.521252434	1.821252434
35	45	2.77460785992923	1.731128485	2.458233692	1.758233692
40	45	2.76890559009172	1.912899438	2.383827982	1.683827982
45	45	2.76516349512149	2.096467888	2.296467888	1.596467888


### +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	3.27579548224287	2.391281403	-1.191281403	1.891281403
45	-40	3.22970068213407	2.464046878	-0.9480310114	1.964046878
45	-35	3.18694534470219	2.519526709	-0.7140878250	2.019526709
45	-30	3.14727449991490	2.560374804	-0.4895579478	2.060374804
45	-25	3.11041078699889	2.588774387	-0.2740114926	2.088774387
45	-20	3.07603201578647	2.606439282	-0.06668119909	2.106439282
45	-15	3.04387409844531	2.614721152	0.1333621751	2.114721152
45	-10	3.01364159009178	2.614593476	0.3271401169	2.114593476
45	-5	2.98511804174211	2.606769616	0.5156815419	2.106769616
45	-2.38542e-15	2.95808166528683	2.591679605	0.7000000000	2.091679605
45	5	2.93235675859864	2.569532942	0.8810606712	2.069532942
45	10	2.90781743023138	2.540339431	1.059766892	2.040339431
45	15	2.88432982936959	2.503878315	1.236937576	2.003878315
45	20	2.86185995921623	2.459776169	1.413300191	1.959776169
45	25	2.84034015310405	2.407410361	1.589440058	1.907410361
45	30	2.81980748915003	2.345997323	1.765787052	1.845997323
45	35	2.80032654683730	2.274531296	1.942540191	1.774531296
45	40	2.78203588620751	2.191812783	2.119599482	1.691812783
45	45	2.76516378774319	2.096468057	2.296468057	1.596468057

50	-45	3.28473391047504	2.497513707	-1.297513707	1.676113015
50	-40	3.23656174169028	2.585641932	-1.050061376	1.750061376
50	-35	3.19134489947176	2.654358349	-0.8084979563	1.807721296
50	-30	3.14902702949587	2.706154602	-0.5737239531	1.851183513
50	-25	3.10939584399972	2.743118997	-0.3459835666	1.882200323
50	-20	3.07228371777488	2.767036228	-0.1251337070	1.902269263
50	-15	3.03745003064034	2.779301243	0.08926307262	1.912560832
50	-10	3.00469688276749	2.781016756	0.2977952025	1.914000318
50	-5	2.97382781955258	2.772985203	0.5011395624	1.907261045
50	-2.38542e-15	2.94467817855404	2.755754355	0.7000000000	1.892802648
50	5	2.91710300223058	2.729628735	0.8950672382	1.870880649
50	10	2.89100558489776	2.694707965	1.086986229	1.841578644
50	15	2.86628962187337	2.650862543	1.276321882	1.804787967
50	20	2.84294211147530	2.597805201	1.463538650	1.760267570
50	25	2.82093175224515	2.535020924	1.648945841	1.707585307
50	30	2.80033533067948	2.461867148	1.832684526	1.646202000
50	35	2.78121924306536	2.377497759	2.014638084	1.575407677
50	40	2.76374706214878	2.280959927	2.194402818	1.494402818
50	45	2.74814465230069	2.171202832	2.371202832	1.402305680

55	-45	3.29234496775410	2.586317108	-1.386317108	1.460854966
55	-40	3.24256288051727	2.688933705	-1.136733465	1.532707881
55	-35	3.19534594305541	2.770500273	-0.8898214063	1.589821406
55	-30	3.15074144740821	2.833163237	-0.6470524232	1.633698487
55	-25	3.10866417526631	2.878831981	-0.4092675701	1.665676085
55	-20	3.06910277642977	2.909259752	-0.1768988365	1.686981840
55	-15	3.03185040610415	2.925800656	0.05000867336	1.698563905
55	-10	2.99682756266873	2.929644012	0.2715882072	1.701255052
55	-5	2.96385138984721	2.921634025	0.4881344756	1.695646399
55	-2.38542e-15	2.93282494596364	2.902429550	0.7000000000	1.682199281
55	5	2.90363515352680	2.872433958	0.9075610763	1.661196141
55	10	2.87621292509380	2.831857060	1.111169315	1.632783891
55	15	2.85050006625617	2.780701223	1.311112051	1.596964189
55	20	2.82649011612202	2.718807702	1.507579959	1.553625878
55	25	2.80419708814200	2.645845719	1.700624292	1.502537349
55	30	2.78370311207481	2.561366784	1.890130668	1.443384561
55	35	2.76509446174165	2.464778725	2.075752874	1.375752874
55	40	2.74853093145919	2.355431095	2.256891547	1.299186839
55	45	2.73419899344272	2.232627107	2.432627107	1.213198561

60	-45	3.29870101383471	2.659506727	-1.459506727	1.246791790
60	-40	3.24768088375646	2.775269809	-1.209178057	1.313627636
60	-35	3.19883292288118	2.868775573	-0.9586345127	1.367613215
60	-30	3.15231070700946	2.941769374	-0.7097562054	1.409756205
60	-25	3.10818007838563	2.995925475	-0.4638691633	1.441023245
60	-20	3.06648228022257	3.032806227	-0.2218660759	1.462316357
60	-15	3.02710386752738	3.053695163	0.01573944331	1.474376590
60	-10	2.99007728451198	3.059809539	0.2486365128	1.477906727
60	-5	2.95523439845178	3.051993432	0.4767295053	1.473394095
60	-2.38542e-15	2.92255216935833	3.031004423	0.7000000000	1.461276085
60	5	2.89195340166666	2.997347111	0.9184895611	1.441844027
60	10	2.86340216374055	2.951362783	1.132241398	1.415294963
60	15	2.83689119441193	2.893229846	1.341264004	1.381731896
60	20	2.81240851081355	2.822950253	1.545484748	1.341155954
60	25	2.78998827681717	2.740411636	1.744721103	1.293502261
60	30	2.76970425624909	2.645403692	1.938649399	1.238649399
60	35	2.75167359373480	2.537648527	2.126776859	1.176436926
60	40	2.73603867045081	2.416822005	2.308404637	1.106677700
60	45	2.72291218522821	2.282564457	2.482564457	1.029164069

65	-45	3.30392355383576	2.718726518	-1.518726518	1.034609167
65	-40	3.25194031791696	2.845950619	-1.268486299	1.093934739
65	-35	3.20178189613432	2.950088122	-1.015570172	1.142494854
65	-30	3.15369513851477	3.032474901	-0.7621250660	1.180912441
65	-25	3.10786899387777	3.094502272	-0.5098362787	1.209836279
65	-20	3.06436774763100	3.137468753	-0.2599601200	1.229871878
65	-15	3.02317867257863	3.162545245	-0.01342684809	1.241565238
65	-10	2.98441842894509	3.170911636	0.2290462156	1.245466550
65	-5	2.94796207960148	3.163401483	0.4669825638	1.241964508
65	-2.38542e-15	2.91385759683558	3.140851830	0.7000000000	1.231449433
65	5	2.88206133100820	3.103861995	0.9278084060	1.214200789
65	10	2.85257034101104	3.052913908	1.150147601	1.190443306
65	15	2.82542726968286	2.988383505	1.366760351	1.160352285
65	20	2.80061098941733	2.910456115	1.577334277	1.124014146
65	25	2.77819443402726	2.819284303	1.781500032	1.081500032
65	30	2.75819390043820	2.714880170	1.978761663	1.032815585
65	35	2.74073736419936	2.597284662	2.168534530	0.9779798990
65	40	2.72594314698912	2.466496119	2.350086168	0.9169921999
65	45	2.71389389422573	2.322496269	2.522496269	0.8498439672

70	-45	3.30805307532361	2.765325234	-1.565325234	0.8245109561
70	-40	3.25534283692694	2.902115437	-1.315614177	0.8742985184
70	-35	3.20420261954283	3.015313749	-1.061241648	0.9154993343
70	-30	3.15491069852113	3.105844982	-0.8044853021	0.9484500087
70	-25	3.10773045737233	3.174790577	-0.5472753299	0.9735441528
70	-20	3.06274084879221	3.223164023	-0.2911506473	0.9911506473
70	-15	3.02005171958263	3.252024197	-0.03740266119	1.001654892
70	-10	2.97983735386082	3.262467233	0.2129024934	1.005455846
70	-5	2.94204180531248	3.255319209	0.4589408048	1.002854178
70	-2.38542e-15	2.90677281242346	3.231472962	0.7000000000	0.9941748539
70	5	2.87400908246616	3.191604320	0.9354848647	0.9796638549
70	10	2.84376176902015	3.136317951	1.164853984	0.9595412622
70	15	2.81611550539035	3.066187182	1.387607783	0.9340157499
70	20	2.79105014798897	2.981596623	1.603227304	0.9032273044
70	25	2.76867194455931	2.882966518	1.811195537	0.8673288819
70	30	2.74897156907516	2.770553577	2.010904719	0.8264139172
70	35	2.73205009996307	2.644671856	2.201715400	0.7805967178
70	40	2.71800812115826	2.505616488	2.382912055	0.7299847028
70	45	2.70688776586766	2.353652593	2.553652593	0.6746743686

75	-45	3.31120794619339	2.800450431	-1.600450431	0.6164038353
75	-40	3.25796726451466	2.944777284	-1.351411717	0.6550760989
75	-35	3.20609378510794	3.065213768	-1.096182018	0.6873469577
75	-30	3.15588942394193	3.162339949	-0.8371026865	0.7133718394
75	-25	3.10762654256524	3.236919372	-0.5762464627	0.7333553354
75	-20	3.06146034784425	3.289757838	-0.3153888139	0.7475133598
75	-15	3.01760260772413	3.321799809	-0.05609898006	0.7560989801
75	-10	2.97624687227151	3.334022223	0.2002854181	0.7593739660
75	-5	2.93739728540255	3.327230488	0.4526493831	0.7575541260
75	-2.38542e-15	2.90121530461030	3.302358790	0.7000000000	0.7508897748
75	5	2.86770496767231	3.260151974	0.9414820073	0.7395804923
75	10	2.83689985979132	3.201334127	1.176318091	0.7238202979
75	15	2.80890284619431	3.126641923	1.403806582	0.7038065820
75	20	2.78368985754249	3.036639289	1.623261196	0.6796904489
75	25	2.76137967135808	2.931976111	1.834049085	0.6516460351
75	30	2.74195848336317	2.813143659	2.035494114	0.6198049754
75	35	2.72548440366001	2.680675484	2.226925413	0.5843102350
75	40	2.71203663612939	2.535111167	2.407661029	0.5453063937
75	45	2.70164320523122	2.376957406	2.576957406	0.5029292211

80	-45	3.31335378084418	2.824893681	-1.624893681	0.4099414833
80	-40	3.25977694975952	2.974660883	-1.376487034	0.4363494818
80	-35	3.20741679184892	3.100376845	-1.120803469	0.4585165977
80	-30	3.15658735155709	3.202359051	-0.8602077257	0.4764988123
80	-25	3.10755600466106	3.281113871	-0.5968546965	0.4903854120
80	-20	3.06056471173151	3.337305775	-0.3326948475	0.5002935606
80	-15	3.01588259935226	3.371763894	-0.06948681638	0.5063694568
80	-10	2.97371138047423	3.385355056	0.1912340547	0.5087659453
80	-5	2.93410039764052	3.378859027	0.4481324712	0.5076205202
80	-2.38542e-15	2.89725395373849	3.353238156	0.7000000000	0.5031028693
80	5	2.86319765617575	3.309291197	0.9457811323	0.4953538348
80	10	2.83198569762414	3.247840394	1.184518400	0.4845184002
80	15	2.80375110201462	3.169769435	1.415362564	0.4707523837
80	20	2.77844534249555	3.075766160	1.637502213	0.4541770700
80	25	2.75619327612804	2.966661048	1.850222937	0.4349388951
80	30	2.73698249001573	2.843134715	2.052809459	0.4131578697
80	35	2.72085615992391	2.705903322	2.244590135	0.3889602725
80	40	2.70785974817396	2.555672735	2.424914233	0.3624705666
80	45	2.69800556900226	2.393119936	2.593119936	0.3338081225

85	-45	3.31465232697775	2.839340928	-1.639340928	0.2046658113
85	-40	3.26088068695758	2.992388262	-1.391362071	0.2180557180
85	-35	3.20822671862919	3.121302474	-1.135455752	0.2293342502
85	-30	3.15700676328130	3.226234010	-0.8739919396	0.2385145700
85	-25	3.10751479602147	3.307552910	-0.6091834226	0.2456290519
85	-20	3.06002609106653	3.365815385	-0.3430714972	0.2507263580
85	-15	3.01484740592091	3.401775849	-0.07752849537	0.2538724909
85	-10	2.97218449993853	3.416226106	0.1857906556	0.2551367246
85	-5	2.93211497066491	3.409926217	0.4454144443	0.2545855557
85	-2.38542e-15	2.89487001231815	3.383854158	0.7000000000	0.2523045461
85	5	2.86048888147903	3.338842158	0.9483665064	0.2483665064
85	10	2.82903937432485	3.275776026	1.189444206	0.2428489348
85	15	2.80067511075781	3.195636065	1.422293507	0.2358375967
85	20	2.77532968375903	3.099187808	1.646026995	0.2273994676
85	25	2.75312650072769	2.987372974	1.859881066	0.2176169372
85	30	2.73405368942423	2.860992773	2.063119813	0.2065601023
85	35	2.71814031580793	2.720874196	2.255072854	0.1943013153
85	40	2.70540767279158	2.567823687	2.435110093	0.1809111308
85	45	2.69586922246164	2.402630076	2.602630076	0.1664585625

90	-45	3.31503724568806	2.844085316	-1.644085316	0.000000000
90	-40	3.26119917854077	2.998223509	-1.396258425	0.000000000
90	-35	3.20844520016580	3.128204445	-1.140288564	0.000000000
90	-30	3.15709205741684	3.234121924	-0.8785460287	0.000000000
90	-25	3.10744632326946	3.316302801	-0.6132635636	0.000000000
90	-20	3.05979191510243	3.375263884	-0.3465104694	0.000000000
90	-15	3.01444806775072	3.411733241	-0.08019657041	0.000000000
90	-10	2.97162182316263	3.426476210	0.1839832857	0.000000000
90	-5	2.93140031827871	3.420245455	0.4445116280	0.000000000
90	-2.38542e-15	2.89402395981869	3.394023960	0.7000000000	0.000000000
90	5	2.85953653768463	3.348655138	0.9492250309	0.000000000
90	10	2.82801053515230	3.285046701	1.191078876	0.000000000
90	15	2.79960643602719	3.204212160	1.424591464	0.000000000
90	20	2.77425308702528	3.106945154	1.648850438	0.000000000
90	25	2.75207129503964	2.994223645	1.863075587	0.000000000
90	30	2.73304938999641	2.866890202	2.066524695	0.000000000
90	35	2.71721219354341	2.725809923	2.258528887	0.000000000
90	40	2.70457253555842	2.571822762	2.438465715	0.000000000
90	45	2.69514333842932	2.405754131	2.605754131	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	2.76516404984239	2.096468209	2.296468209	1.596468209
40	45	2.76890627393627	1.912899787	2.383828398	1.683828398
35	45	2.77460812308421	1.731128602	2.458233859	1.758233859
30	45	2.78200928781395	1.551500674	2.521252592	1.821252592
25	45	2.79089313705423	1.373955942	2.574204566	1.874204566
20	45	2.80113253533816	1.198164271	2.618190571	1.918190571
15	45	2.81264199542125	1.023592399	2.654073437	1.954073437
10	45	2.82537725515522	0.8495670609	2.682493317	1.982493317
5	45	2.83936471254881	0.6753188043	2.703903102	2.003903102
3.88578e-16	45	2.85463033883863	0.5000000000	2.718528470	2.018528470
-5	45	2.87128027469072	0.3227105443	2.726427752	2.026427752
-10	45	2.88943188256890	0.1425078425	2.727438774	2.027438774
-15	45	2.90924501051196	-0.04157570636	2.721188052	2.021188052
-20	45	2.93094953530232	-0.2305203238	2.707088094	2.007088094
-25	45	2.95475542805854	-0.4252686998	2.684245130	1.984245130
-30	45	2.98100366576503	-0.6267134796	2.651524992	1.951524992
-35	45	3.00996961231682	-0.8355614615	2.607379439	1.907379439
-40	45	3.04207285499997	-1.052289484	2.549946569	1.849946569
-45	45	3.07763946321225	-1.276875973	2.476875973	1.776875973

45	50	2.74814556105408	2.171203384	2.371203384	1.402306144
40	50	2.75000231464565	1.986970810	2.472102805	1.486970810
35	50	2.75416748606806	1.801851149	2.559236123	1.560084345
30	50	2.76041912184708	1.616539148	2.633902533	1.622736902
25	50	2.76853951130330	1.431321381	2.697225147	1.675870884
20	50	2.77838506690333	1.246200345	2.750168598	1.720295714
15	50	2.78986165808363	1.060954590	2.793511031	1.756664334
10	50	2.80289705995945	0.8751921369	2.827820345	1.785453267
5	50	2.81750949131431	0.6884074010	2.853506447	1.807006466
3.88578e-16	50	2.83371564789107	0.5000000000	2.870752125	1.821477308
-5	50	2.85160776300645	0.3093124411	2.879568772	1.828875353
-10	50	2.87128248554563	0.1156538794	2.879735166	1.829014974
-15	50	2.89289358326548	-0.08167111244	2.870826145	1.821539418
-20	50	2.91662521712989	-0.2833279731	2.852175918	1.805890019
-25	50	2.94268657221004	-0.4899034895	2.822854884	1.781286750
-30	50	2.97132411065865	-0.7018463661	2.781658969	1.746719273
-35	50	3.00280266692354	-0.9193770429	2.727080495	1.700922495
-40	50	3.03740596569916	-1.142374621	2.657305855	1.642374621
-45	50	3.07543085594741	-1.370232250	2.570232250	1.569311191

45	55	2.73419944024862	2.232627390	2.432627390	1.213198760
40	55	2.73426662501961	2.048811603	2.545801792	1.292444329
35	55	2.73693741426540	1.861743538	2.644771319	1.361743538
30	55	2.74200750910154	1.672304336	2.730490671	1.421764874
25	55	2.74928263714445	1.481029117	2.803823730	1.473113235
20	55	2.75860424284539	1.288183722	2.865516980	1.516311313
15	55	2.76989856955694	1.093832084	2.916211510	1.551808005
10	55	2.78309697698841	0.8978579149	2.956364360	1.579923334
5	55	2.79820267494513	0.7000244274	2.986289667	1.600877259
3.88578e-16	55	2.81522000206134	0.5000000000	3.006093220	1.614743856
-5	55	2.83422262276721	0.2974007522	3.015719999	1.621484600
-10	55	2.85528095716066	0.09182301678	3.014886704	1.620901120
-15	55	2.87853896639339	-0.1171232452	3.003135306	1.612672702
-20	55	2.90412337387953	-0.3297612016	2.979750165	1.596298251
-25	55	2.93224693429391	-0.5463164396	2.943832846	1.571148673
-30	55	2.96305085062482	-0.7668081132	2.894176016	1.536378586
-35	55	2.99679847542383	-0.9910355410	2.829419436	1.491035541
-40	55	3.03359364903005	-1.218363893	2.747866342	1.433931450
-45	55	3.07369653239001	-1.447762377	2.647762377	1.363837899

45	60	2.72291207978552	2.282564388	2.482564388	1.029164029
40	60	2.72135342636091	2.099771786	2.606533773	1.100737787
35	60	2.72261669096930	1.911710495	2.716131529	1.164014081
30	60	2.72652196843816	1.719337693	2.811954835	1.219337693
25	60	2.73291877074991	1.523351223	2.894583779	1.267043535
20	60	2.74167813966262	1.324221318	2.964529461	1.307426694
15	60	2.75273242930174	1.122240368	3.022232668	1.340741656
10	60	2.76601180270610	0.9175399544	3.067986752	1.367157789
5	60	2.78150788981906	0.7101453079	3.101971860	1.386779100
3.88578e-16	60	2.79921260705937	0.5000000000	3.124189228	1.399606304
-5	60	2.81918626048320	0.2870080589	3.134509027	1.405564442
-10	60	2.84147298612816	0.07106889425	3.132589182	1.404456019
-15	60	2.86620332963991	-0.1478898550	3.117957857	1.396008619
-20	60	2.89344046958206	-0.3698451084	3.089879794	1.379797742
-25	60	2.92339442363790	-0.5946755130	3.047539213	1.355352397
-30	60	2.95610702854675	-0.8220112529	2.989790658	1.322011253
-35	60	2.99180479460198	-1.051287863	2.915468669	1.279101432
-40	60	3.03050705679312	-1.281510494	2.823121531	1.225784788
-45	60	3.07234013665062	-1.511318748	2.711318748	1.161235421

45	65	2.71389378012715	2.322496192	2.522496192	0.8498439314
40	65	2.71093061925751	2.140998684	2.655666077	0.9119420685
35	65	2.71095221565851	1.952575132	2.774492279	0.9673516364
30	65	2.71378436164743	1.758172387	2.879218498	1.016186274
25	65	2.71935399720373	1.558594531	2.970163298	1.058594531
20	65	2.72755276901898	1.354447670	3.047575681	1.094692518
15	65	2.73832885960430	1.146206374	3.111675019	1.124582530
10	65	2.75161383534975	0.9342162401	3.162562668	1.148311831
5	65	2.76739418245690	0.7187447056	3.200263426	1.165891983
3.88578e-16	65	2.78565266967287	0.5000000000	3.224658707	1.177267689
-5	65	2.80644722530064	0.2781684026	3.235546760	1.182344872
-10	65	2.82979883313083	0.05344583831	3.232534499	1.180940231
-15	65	2.85582181344009	-0.1739330274	3.215152299	1.172834778
-20	65	2.88451328853087	-0.4036179567	3.182669932	1.157688002
-25	65	2.91606183412089	-0.6351692767	3.134378370	1.135169277
-30	65	2.95043172279452	-0.8678875059	3.069250659	1.104799727
-35	65	2.98775838901528	-1.100892672	2.986311678	1.066124644
-40	65	3.02804470558023	-1.332956307	2.884432264	1.018617494
-45	65	3.07128263212455	-1.562498151	2.762498151	0.9617586826

45	70	2.70688777662256	2.353652601	2.553652601	0.6746743713
40	70	2.70274401817640	2.173460964	2.694353116	0.7258851707
35	70	2.70168979873494	1.985027371	2.820838880	0.7719222240
30	70	2.70358242882331	1.789259956	2.933063747	0.8127687352
25	70	2.70842584602859	1.587016003	3.031113341	0.8484558690
20	70	2.71611989580993	1.378978708	3.114974151	0.8789787076
15	70	2.72662119271756	1.165756057	3.184635429	0.9043333391
10	70	2.73985804242876	0.9478694178	3.239993687	0.9244820972
5	70	2.75583127223629	0.7258018453	3.280926902	0.9393805692
3.88578e-16	70	2.77453903031240	0.5000000000	3.307213853	0.9489482368
-5	70	2.79601780330923	0.2709054303	3.318562914	0.9530789573
-10	70	2.82026131056614	0.03898750530	3.314531780	0.9516117444
-15	70	2.84737009488445	-0.1952391814	3.294667948	0.9443819010
-20	70	2.87729384141592	-0.4311371070	3.258278176	0.9311371070
-25	70	2.91015837579089	-0.6679805562	3.204742386	0.9116516730
-30	70	2.94588999164363	-0.9048093964	3.133201249	0.8856128288
-35	70	2.98452754451705	-1.140493700	3.042867807	0.8527341447
-40	70	3.02608635726980	-1.373665193	2.932947225	0.8127263245
-45	70	3.07045806694506	-1.602622292	2.802622292	0.7652919282

45	75	2.70164317925344	2.376957388	2.576957388	0.5029292163
40	75	2.69658282632969	2.197930383	2.723514634	0.5421991121
35	75	2.69467779677970	2.009666319	2.856026944	0.5777056785
30	75	2.69582603030858	1.813024912	2.974225859	0.6093769824
25	75	2.70006711338004	1.608869118	3.077977497	0.6371771499
20	75	2.70732366827434	1.397932965	3.167050546	0.6610442016
15	75	2.71754946704039	1.180916823	3.241216179	0.6809168229
10	75	2.73070869684356	0.9584884968	3.300217477	0.6967261730
5	75	2.74681498149662	0.7313021747	3.343795954	0.7084029910
3.88578e-16	75	2.76586589917157	0.5000000000	3.371621304	0.7158587709
-5	75	2.78788214881490	0.2652396655	3.383322902	0.7189942045
-10	75	2.81283384103366	0.02772261608	3.378418141	0.7176799779
-15	75	2.84080876690615	-0.2118010190	3.356477568	0.7118010190
-20	75	2.87171311683091	-0.4524557055	3.316850544	0.7011829899
-25	75	2.90561309466749	-0.6932831643	3.259004004	0.6856830563
-30	75	2.94242793336486	-0.9331344586	3.182261696	0.6651200170
-35	75	2.98209603828200	-1.170689518	3.085991904	0.6393246039
-40	75	3.02464476763100	-1.404497870	2.969692179	0.6081621864
-45	75	3.06986658552527	-1.632779344	2.832779344	0.5714765028

45	80	2.69800557633413	2.393119942	2.593119942	0.3338081234
40	80	2.69227593166066	2.214987299	2.743842274	0.3603845373
35	80	2.68973606482380	2.026923713	2.880673057	0.3845114961
30	80	2.69033283803508	1.829751916	3.003197880	0.4061159281
25	80	2.69412749058316	1.624321455	3.111115141	0.4251446530
20	80	2.70105329230946	1.411388610	3.204019626	0.4415262203
15	80	2.71105984029959	1.191712869	3.281507572	0.4551894358
10	80	2.72415616496723	0.9660700751	3.343214744	0.4660700751
5	80	2.74035654946446	0.7352362696	3.388762865	0.4741014378
3.88578e-16	80	2.75965526736773	0.5000000000	3.417729903	0.4792091082
-5	80	2.78206062944257	0.2611837904	3.429681767	0.4813165442
-10	80	2.80752431131356	0.01966664632	3.424105816	0.4803333537
-15	80	2.83612350049145	-0.2236222139	3.400594868	0.4761877391
-20	80	2.86773017021216	-0.4676286731	3.358537930	0.4687719662
-25	80	2.90236562332677	-0.7112240242	3.297478302	0.4580055065
-30	80	2.93994841652861	-0.9531295104	3.216894142	0.4437963448
-35	80	2.98035127459386	-1.191901705	3.116286048	0.4260564233
-40	80	3.02360165461135	-1.426042711	2.995368320	0.4047353655
-45	80	3.06943416760171	-1.653741669	2.853741669	0.3797627657

45	85	2.69586922378366	2.402630077	2.602630077	0.1664585626
40	85	2.68974650697433	2.225065823	2.755853392	0.1798638657
35	85	2.68683189847803	2.037161023	2.895293451	0.1920632900
30	85	2.68709912028243	1.839709628	3.020445143	0.2030126443
25	85	2.69061424463014	1.633544905	3.130894894	0.2126757455
20	85	2.69732095539790	1.419436150	3.226130060	0.2210077429
15	85	2.70718706986048	1.198182961	3.305654284	0.2279652109
10	85	2.72023744426964	0.9706206875	3.369022549	0.2335092157
5	85	2.73648871877624	0.7375999946	3.415780365	0.2375999946
3.88578e-16	85	2.75593362375757	0.5000000000	3.445446464	0.2401954419
-5	85	2.77857294346590	0.2587459755	3.457546118	0.2412540245
-10	85	2.80434711864590	0.01482773247	3.451548660	0.2407293149
-15	85	2.83332643554997	-0.2307142763	3.427062805	0.2385870802
-20	85	2.86536120747081	-0.4767160526	3.383505300	0.2347762922
-25	85	2.90044445350771	-0.7219455243	3.320470633	0.2292614735
-30	85	2.93849531612444	-0.9650484743	3.237538393	0.2220058427
-35	85	2.97935050241014	-1.204513583	3.134297675	0.2129734502
-40	85	3.02302353362655	-1.438812660	3.010586953	0.2021501645
-45	85	3.06920791124617	-1.666116677	2.866116677	0.1895106531

45	90	2.69514333904611	2.405754131	2.605754131	0.000000000
40	90	2.68888634113087	2.228382824	2.759806440	0.000000000
35	90	2.68584259985535	2.040536027	2.900113456	0.000000000
30	90	2.68599561065516	1.842997805	3.026140433	0.000000000
25	90	2.68941327629590	1.636595164	3.137436195	0.000000000
20	90	2.69604189550347	1.422100636	3.233450675	0.000000000
15	90	2.70585788413625	1.200327554	3.313658013	0.000000000
10	90	2.71889019270016	0.9721303272	3.377584141	0.000000000
5	90	2.73515630354258	0.7383845792	3.424748208	0.000000000
3.88578e-16	90	2.75464843999114	0.5000000000	3.454648440	0.000000000
-5	90	2.77736497622838	0.2579366926	3.466796264	0.000000000
-10	90	2.80324253372405	0.01322204246	3.460654981	0.000000000
-15	90	2.83234912938440	-0.2330658971	3.435839173	0.000000000
-20	90	2.86452762652948	-0.4797261494	3.391775473	0.000000000
-25	90	2.89976148199606	-0.7254921570	3.328076412	0.000000000
-30	90	2.93797038337461	-0.9689851917	3.244356988	0.000000000
-35	90	2.97898013027373	-1.208672807	3.140237664	0.000000000
-40	90	3.02279529747303	-1.443015364	3.015595540	0.000000000
-45	90	3.06909959813949	-1.670181138	2.870181138	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	3.06909962518472	-1.670181157	2.870181157	2.657617634e-16
-90	40	3.11773155453107	-1.888320932	2.704039214	2.924752989e-16
-90	35	3.16838257090143	-2.095387060	2.517309584	3.178327484e-16
-90	30	3.22076904306847	-2.289267811	2.310384522	3.415755084e-16
-90	25	3.27451392116509	-2.467717466	2.083869381	3.634285665e-16
-90	20	3.32915986936537	-2.628386963	1.838639736	3.831042552e-16
-90	15	3.38437951425119	-2.769059579	1.575941874	4.003311131e-16
-90	10	3.43945239012146	-2.887199380	1.297254640	4.147985882e-16
-90	5	3.49392727445728	-2.980631826	1.004515827	4.262403850e-16
-90	7.77156e-16	3.54729943487951	-3.047299435	0.7000000000	4.344045427e-16
-90	-5	3.59894242832355	-3.085247366	0.3863314996	4.390516704e-16
-90	-10	3.64836624254137	-3.092939361	0.06646785052	4.399936371e-16
-90	-15	3.69491193495524	-3.069010864	-0.2563135787	4.370633381e-16
-90	-20	3.73780991751999	-3.012392397	-0.5784062837	4.301298047e-16
-90	-25	3.77645799356090	-2.922633287	-0.8960001128	4.191378470e-16
-90	-30	3.81050121283532	-2.799990851	-1.205250606	4.041189764e-16
-90	-35	3.83960715037411	-2.645222046	-1.502308186	3.851658902e-16
-90	-40	3.86310665074033	-2.459311383	-1.783157090	3.623991523e-16
-90	-45	3.88062459147304	-2.244015964	-2.044015964	3.360339384e-16

-85	45	3.06920794503730	-1.666116701	2.866116701	0.1895106552
-85	40	3.11774755452871	-1.882987344	2.699563801	0.2084843779
-85	35	3.16826826889619	-2.088654163	2.512595159	0.2264778931
-85	30	3.22048014204897	-2.281046463	2.305637924	0.2433100382
-85	25	3.27401418334456	-2.457980461	2.079328941	0.2587897572
-85	20	3.32840732174863	-2.617163262	1.834554643	0.2727164478
-85	15	3.38334717237099	-2.756455068	1.572564506	0.2849029017
-85	10	3.43815142166506	-2.873420100	1.294824981	0.2951360161
-85	5	3.49234735033954	-2.965919044	1.003228625	0.3032286250
-85	7.77156e-16	3.54544768962571	-3.031956191	0.7000000000	0.3090061268
-85	-5	3.59684777580583	-3.069628663	0.3876979590	0.3123020410
-85	-10	3.64607922949979	-3.077433176	0.06920200940	0.3129848474
-85	-15	3.69248853116519	-3.054002110	-0.2522919953	0.3109348948
-85	-20	3.73531852901377	-2.998249032	-0.5732585196	0.3060571325
-85	-25	3.77397857038755	-2.909684334	-0.8899619168	0.2983087254
-85	-30	3.80811109855097	-2.788495328	-1.198613663	0.2877060612
-85	-35	3.83736207209324	-2.635341600	-1.495389823	0.2743068463
-85	-40	3.86106708710913	-2.451128609	-1.776290927	0.2581902979
-85	-45	3.87883893280035	-2.237519888	-2.037519888	0.2395019564

-80	45	3.06943411313916	-1.653741630	2.853741630	0.3797627589
-80	40	3.11766977567521	-1.866780169	2.685964367	0.4173272013
-80	35	3.16777390579162	-2.068236824	2.498298784	0.4528494449
-80	30	3.21943609999872	-2.256163957	2.291272002	0.4859860689
-80	25	3.27231469719891	-2.428565015	2.065612294	0.5163850268
-80	20	3.32593672598159	-2.583319703	1.822236595	0.5436724539
-80	15	3.38003205653806	-2.718511896	1.562397663	0.5675104850
-80	10	3.43401507600572	-2.831981990	1.287518324	0.5875183240
-80	5	3.48737773609691	-2.921719613	0.9993616759	0.6033414882
-80	7.77156e-16	3.53967017077259	-2.985894627	0.7000000000	0.6146572747
-80	-5	3.59034435769307	-3.022747645	0.3917995166	0.6211554560
-80	-10	3.63899375934540	-3.030870249	0.07741230969	0.6225876903
-80	-15	3.68498427067831	-3.008891488	-0.2402046404	0.6187122416
-80	-20	3.72759662734957	-2.955679730	-0.5577645609	0.6093295731
-80	-25	3.76627615171858	-2.870636871	-0.8717537860	0.5943342226
-80	-30	3.80066933900988	-2.753758583	-1.178558394	0.5737254270
-80	-35	3.83034024195728	-2.605404978	-1.474427975	0.5475666837
-80	-40	3.85466439613784	-2.426269909	-1.755432002	0.5159803379
-80	-45	3.87321718413031	-2.217735187	-2.017735187	0.4792100399

-75	45	3.06986655473756	-1.632779323	2.832779323	0.5714764971
-75	40	3.11760084948021	-1.839446384	2.663028598	0.6268527694
-75	35	3.16698820218386	-2.033925170	2.474273506	0.6789632031
-75	30	3.21770419432028	-2.214487509	2.267210094	0.7273447360
-75	25	3.26945632216506	-2.379444560	2.042707050	0.7715448445
-75	20	3.32178648826296	-2.526980212	1.801730697	0.8110769032
-75	15	3.37447519613580	-2.655516051	1.545517978	0.8455179776
-75	10	3.42704090505692	-2.763274352	1.275403314	0.8743917274
-75	5	3.47903303402304	-2.848552241	0.9929603603	0.8972418687
-75	7.77156e-16	3.53000526907261	-2.909723256	0.7000000000	0.9136325929
-75	-5	3.57948769225809	-2.945239357	0.3985806132	0.9231491034
-75	-10	3.62716550289923	-2.953835681	0.09099558255	0.9254524814
-75	-15	3.67244403711981	-2.934150626	-0.2201778868	0.9201778868
-75	-20	3.71466920552162	-2.884994857	-0.5320373710	0.9070066383
-75	-25	3.75334883123055	-2.805613781	-0.8414330209	0.8857365430
-75	-30	3.78814531236352	-2.695717354	-1.145048275	0.8562898842
-75	-35	3.81850728218068	-2.555209271	-1.439280562	0.8186408568
-75	-40	3.84385402218692	-2.384426464	-1.720321182	0.7728797416
-75	-45	3.86373045931787	-2.184313564	-1.984313564	0.7192596516

-70	45	3.07045791198311	-1.602622186	2.802622186	0.7652918896
-70	40	3.11745891234799	-1.800370976	2.630240437	0.8372665630
-70	35	3.16585470504731	-1.985210460	2.440163098	0.9045426333
-70	30	3.21528321916812	-2.155710556	2.233275204	0.9665995930
-70	25	3.26552270862222	-2.310600690	2.010604626	1.022974992
-70	20	3.31613772578792	-2.448465899	1.773153824	1.073153824
-70	15	3.36691136447987	-2.568100286	1.522094994	1.116697180
-70	10	3.41748848716903	-2.668193041	1.258637913	1.153127963
-70	5	3.46754773355643	-2.747472848	0.9841170593	1.181983453
-70	7.77156e-16	3.51672590292824	-2.804641380	0.7000000000	1.202791097
-70	-5	3.56458532618033	-2.838351755	0.4079320666	1.215060670
-70	-10	3.61090665282144	-2.847501936	0.1097450907	1.218391064
-70	-15	3.65516602869641	-2.830772546	-0.1924778139	1.212302064
-70	-20	3.69680069044778	-2.786923425	-0.4963422889	1.196342289
-70	-25	3.73540818653090	-2.715026128	-0.7991913044	1.170173813
-70	-30	3.77070512051742	-2.614469460	-1.098139781	1.133574179
-70	-35	3.80195704322366	-2.484553712	-1.389807007	1.086288714
-70	-40	3.82858405068387	-2.325109769	-1.670548565	1.028255865
-70	-45	3.85019468154055	-2.136578969	-1.936578969	0.9596362652

-65	45	3.07128227845166	-1.562497913	2.762497913	0.9617585718
-65	40	3.11732728473094	-1.748840741	2.587001436	1.048651659
-65	35	3.16441138525720	-1.921491219	2.395546405	1.129159900
-65	30	3.21216439318847	-2.079426783	2.189232747	1.202806462
-65	25	3.26045656095306	-2.221884987	1.969235814	1.269235814
-65	20	3.30892636050037	-2.347957752	1.736571850	1.328024510
-65	15	3.35737591212305	-2.456876267	1.492292608	1.378814048
-65	10	3.40554060647222	-2.547795826	1.237408636	1.421210534
-65	5	3.45318910689819	-2.619860005	0.9729523822	1.454814613
-65	7.77156e-16	3.50008365827514	-2.672153075	0.7000000000	1.479199272
-65	-5	3.54591182866387	-2.703632396	0.4197184832	1.493878320
-65	-10	3.59050430805120	-2.713329485	0.1334033139	1.498400147
-65	-15	3.63341825401490	-2.699989660	-0.1574346453	1.492179685
-65	-20	3.67422967158388	-2.662370430	-0.4510087062	1.474637549
-65	-25	3.71268494625291	-2.599412989	-0.7452800128	1.445280013
-65	-30	3.74832949054085	-2.509977166	-1.037811127	1.403575404
-65	-35	3.78050256904071	-2.392940475	-1.325658728	1.349000298
-65	-40	3.80865193586295	-2.247562530	-1.605478705	1.281209449
-65	-45	3.83235668309884	-2.073592052	-1.873592052	1.200085683

-60	45	3.07233978411379	-1.511318517	2.711318517	1.161235287
-60	40	3.11716747221417	-1.683834339	2.532454589	1.260837344
-60	35	3.16263762507600	-1.841972505	2.339866802	1.352138456
-60	30	3.20843343663577	-1.985241854	2.134855053	1.434855053
-60	25	3.25439158113893	-2.113335987	1.918618584	1.508810236
-60	20	3.30030169058482	-2.225932815	1.692158405	1.573818044
-60	15	3.34601159197049	-2.322728916	1.456347933	1.629703299
-60	10	3.39138137657362	-2.403366560	1.211941859	1.676259465
-60	5	3.43623074844155	-2.467357955	0.9596101817	1.713204914
-60	7.77156e-16	3.48044866660928	-2.514156962	0.7000000000	1.740224333
-60	-5	3.52384325860935	-2.543015761	0.4337706180	1.756885969
-60	-10	3.56632665953152	-2.553137473	0.1616494878	1.762729742
-60	-15	3.60756035986184	-2.543374078	-0.1154696265	1.757092843
-60	-20	3.64726374648558	-2.512511238	-0.3964644209	1.739274174
-60	-25	3.68529584256859	-2.459359994	-0.6799722283	1.708587289
-60	-30	3.72108628531481	-2.382341043	-0.9641203768	1.664120377
-60	-35	3.75412211081193	-2.279974125	-1.246558838	1.605018809
-60	-40	3.78397697208236	-2.150989697	-1.524444477	1.530549615
-60	-45	3.80995824398627	-1.994203150	-1.794203150	1.440028860

-55	45	3.07369715906067	-1.447762775	2.647762775	1.363838177
-55	40	3.11706484939013	-1.604214648	2.465645735	1.473386958
-55	35	3.16059802858855	-1.745809629	2.272532831	1.572532831
-55	30	3.20409736473159	-1.872673958	2.069863948	1.661364191
-55	25	3.24737937116166	-1.984980514	1.858765444	1.740002089
-55	20	3.29038403517203	-2.082966555	1.640122942	1.808612653
-55	15	3.33300300376480	-2.166754552	1.414554729	1.867281640
-55	10	3.37521594527965	-2.236418108	1.182504343	1.916060587
-55	5	3.41695383849093	-2.291844323	0.9442547286	1.954870440
-55	7.77156e-16	3.45818950864555	-2.332783006	0.7000000000	1.983536015
-55	-5	3.49882666692973	-2.358739049	0.4498927412	2.001710632
-55	-10	3.53885183988053	-2.369084057	0.1941030709	2.008954284
-55	-15	3.57805161606572	-2.362819332	-0.06709012821	2.004567677
-55	-20	3.61631771089992	-2.338825985	-0.3332481588	1.987767354
-55	-25	3.65346113274301	-2.295725010	-0.6036679823	1.957587727
-55	-30	3.68908811195895	-2.231815640	-0.8772144949	1.912837904
-55	-35	3.72286852419464	-2.145339237	-1.152286475	1.852286475
-55	-40	3.75427751010355	-2.034373236	-1.426591648	1.774587244
-55	-45	3.78257894780271	-1.896972143	-1.696972143	1.678377963

-50	45	3.07543271799203	-1.370233382	2.570233382	1.569312141
-50	40	3.11706231874036	-1.508636447	2.385446102	1.685446102
-50	35	3.15834092628128	-1.632078594	2.192897503	1.789026362
-50	30	3.19921417060646	-1.741314856	1.994023736	1.880686469
-50	25	3.23953652023913	-1.837002516	1.789762170	1.960977949
-50	20	3.27933501156941	-1.919819248	1.580742179	2.030469438
-50	15	3.31857494589508	-1.990257263	1.367262423	2.089573951
-50	10	3.35734515791738	-2.048729825	1.149409835	2.138638256
-50	5	3.39566609038605	-2.095408761	0.9270688438	2.177806534
-50	7.77156e-16	3.43359706862948	-2.130287954	0.7000000000	2.207073652
-50	-5	3.47113864869724	-2.153094686	0.4678842917	2.226210772
-50	-10	3.50835841042487	-2.163371592	0.2303757287	2.234834120
-50	-15	3.54516319807586	-2.160288993	-0.01282228739	2.232247513
-50	-20	3.58161743744202	-2.142873260	-0.2619271997	2.217633978
-50	-25	3.61750329586916	-2.109667850	-0.5169081035	2.189771330
-50	-30	3.65263330524677	-2.058972565	-0.7774234992	2.147232935
-50	-35	3.68678691740762	-1.988812845	-1.042685515	2.088361940
-50	-40	3.71940285757351	-1.896784978	-1.311141391	2.011141391
-50	-45	3.74991751632201	-1.780401349	-1.580401349	1.913483931

-45	45	3.07763867632335	-1.276875518	2.476875518	1.776875518
-45	40	3.11719682982196	-1.395630991	2.290623265	1.895630991
-45	35	3.15594832251439	-1.499884290	2.100334055	1.999884290
-45	30	3.19383215488565	-1.590853944	1.907155087	2.090853944
-45	25	3.23091077893018	-1.669695305	1.711745536	2.169695305
-45	20	3.26725111552465	-1.737384416	1.514341330	2.237384416
-45	15	3.30292624977121	-1.794696751	1.314862141	2.294696751
-45	10	3.33807644886735	-1.842240931	1.113000271	2.342240931
-45	5	3.37279914701576	-1.880378486	0.9082561324	2.380378486
-45	7.77156e-16	3.40722160288682	-1.909269500	0.7000000000	2.409269500
-45	-5	3.44142247916003	-1.928809921	0.4875066661	2.428809921
-45	-10	3.47554544278263	-1.938699328	0.2699915107	2.438699328
-45	-15	3.50961919733699	-1.938295972	0.04666056348	2.438295972
-45	-20	3.54377392723775	-1.926744771	-0.1832628626	2.426744771
-45	-25	3.57790542207138	-1.902717106	-0.4204053867	2.402717106
-45	-30	3.61201179647123	-1.864616781	-0.6652121352	2.364616781
-45	-35	3.64587954457304	-1.810347471	-0.9177227149	2.310347471
-45	-40	3.67922896438421	-1.737414198	-1.177413429	2.237414198
-45	-45	3.71162079111869	-1.642905263	-1.442905263	2.142905263


### -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	3.88062455962611	-2.244015941	-2.044015941	3.360339357e-16
-40	-90	3.89207640484527	-2.001778489	-2.281503502	3.651168133e-16
-35	-90	3.89709120124937	-1.735279683	-2.492310224	3.909323384e-16
-30	-90	3.89576181911751	-1.447880910	-2.673828702	4.131612066e-16
-25	-90	3.88823255705907	-1.143238085	-2.823935444	4.315433736e-16
-20	-90	3.87431337641469	-0.8250932163	-2.940663690	4.458379887e-16
-15	-90	3.85452241133553	-0.4976238098	-3.023182745	4.559433246e-16
-10	-90	3.82918254593158	-0.1649305711	-3.071008659	4.618001164e-16
-5	-90	3.79851141825592	0.1689379160	-3.084056936	4.633980166e-16
-1.23374e-14	-90	3.76286812690818	0.5000000000	-3.062868127	4.608032217e-16
5	-90	3.72286346310771	0.8244689303	-3.008696844	4.541693719e-16
10	-90	3.67926624161879	1.138897878	-2.923369920	4.437201826e-16
15	-90	3.63245355331459	1.440148160	-2.808680700	4.296752679e-16
20	-90	3.58283541436141	1.725401882	-2.666764000	4.122960587e-16
25	-90	3.53117166673713	1.992337632	-2.500328379	3.919142467e-16
30	-90	3.47798442899770	2.238992214	-2.312022869	3.688542344e-16
35	-90	3.42389398647367	2.463864911	-2.104689758	3.434640899e-16
40	-90	3.36937536932249	2.665792740	-1.881091278	3.160820779e-16
45	-90	3.31503727083459	2.844085334	-1.644085334	2.870581794e-16

-45	-85	3.87883886668229	-2.237519842	-2.037519842	0.2395019523
-40	-85	3.88993924118499	-1.994808050	-2.273196456	0.2601209844
-35	-85	3.89464740293426	-1.728163283	-2.482146952	0.2784017840
-30	-85	3.89303494582424	-1.440954228	-2.661831338	0.2941221308
-25	-85	3.88528435072551	-1.136854592	-2.810246001	0.3071067313
-20	-85	3.87122313032813	-0.8195843389	-2.925528174	0.3171926145
-15	-85	3.85135519338359	-0.4932636732	-3.006910494	0.3243126449
-10	-85	3.82601745963132	-0.1619286015	-3.053983644	0.3284310119
-5	-85	3.79543367240610	0.1704554220	-3.066711763	0.3295445780
-1.23374e-14	-85	3.75995599226809	0.5000000000	-3.045648225	0.3277017572
5	-85	3.72018358820770	0.8230108695	-2.992031133	0.3230108695
10	-85	3.67686913415904	1.136124866	-2.907643388	0.3156278985
15	-85	3.63036050129537	1.436269190	-2.794204186	0.3057032543
20	-85	3.58106839555693	1.720679256	-2.653788693	0.2934184905
25	-85	3.52973725372298	1.987064037	-2.489019119	0.2790030207
30	-85	3.47685887175205	2.233460917	-2.302442381	0.2626796713
35	-85	3.42305780508837	2.458362575	-2.096831608	0.2446910595
40	-85	3.36878326139764	2.660565263	-1.874861414	0.2252711839
45	-85	3.31465236068953	2.839340952	-1.639340952	0.2046658134

-45	-80	3.87321683757252	-2.217734944	-2.017734944	0.4792099970
-40	-80	3.88324277962480	-1.973636512	-2.247965200	0.5198058029
-35	-80	3.88702225337649	-1.706605521	-2.451359277	0.5556696664
-30	-80	3.88456671333356	-1.420026384	-2.625583248	0.5863900533
-25	-80	3.87614108577673	-1.117602953	-2.768960728	0.6116713714
-20	-80	3.86169798716249	-0.8030130024	-2.879998801	0.6312503796
-15	-80	3.84162591796427	-0.4801709450	-2.958047767	0.6450125180
-10	-80	3.81631438330027	-0.1529250981	-3.002922239	0.6529250981
-5	-80	3.78600185329668	0.1750039871	-3.014721426	0.6550056132
-1.23374e-14	-80	3.75102043136295	0.5000000000	-2.994034003	0.6513578623
5	-80	3.71193516019091	0.8186380182	-2.942049213	0.6421915413
10	-80	3.66945227551838	1.127798773	-2.860423767	0.6277987730
15	-80	3.62383800161886	1.424603487	-2.750667189	0.6084457269
20	-80	3.57553002064626	1.706454291	-2.614705922	0.5844720872
25	-80	3.52519873357183	1.971146627	-2.454884122	0.5562911917
30	-80	3.47326139027435	2.216730333	-2.273464159	0.5243019575
35	-80	3.42035021429311	2.441682650	-2.073010206	0.4889565171
40	-80	3.36683638475562	2.644684194	-1.855935093	0.4506803179
45	-80	3.31335376117436	2.824893667	-1.624893667	0.4099414808

-45	-75	3.86372998009054	-2.184313231	-1.984313231	0.7192595624
-40	-75	3.87196098489392	-1.938019013	-2.205517917	0.7785311794
-35	-75	3.87416919447159	-1.670464593	-2.399744682	0.8305740842
-30	-75	3.87033825684193	-1.385081045	-2.565056146	0.8748691575
-25	-75	3.86081275517640	-1.085566526	-2.700258389	0.9110964893
-20	-75	3.84574532036395	-0.7755111403	-2.804438056	0.9390113471
-15	-75	3.82536497345288	-0.4584941859	-2.877149000	0.9584941859
-10	-75	3.80013768274791	-0.1380466052	-2.918542112	0.9695854368
-5	-75	3.77029573891451	0.1825131618	-2.928891166	0.9723584574
-1.23374e-14	-75	3.73613651684833	0.5000000000	-2.908830752	0.9669832857
5	-75	3.69817059185652	0.8114133664	-2.859471066	0.9537573976
10	-75	3.65703815638438	1.114020063	-2.782280822	0.9330743342
15	-75	3.61291274455756	1.405261559	-2.678482132	0.9052615590
20	-75	3.56623915502817	1.682807854	-2.549737872	0.8707646383
25	-75	3.51755943541665	1.944598547	-2.397951581	0.8300936242
30	-75	3.46721260373851	2.188735279	-2.224975304	0.7837447707
35	-75	3.41580535967014	2.413670833	-2.033005185	0.7323065323
40	-75	3.36359464778588	2.617921057	-1.824040028	0.6763144873
45	-75	3.31120781426575	2.800450340	-1.600450340	0.6164038108

-45	-70	3.85019530090710	-2.136579394	-1.936579394	0.9596364195
-40	-70	3.85606553353083	-1.887564305	-2.145388338	1.035636660
-35	-70	3.85614680879784	-1.619593286	-2.327092927	1.101771722
-30	-70	3.85052447442019	-1.336203313	-2.480397431	1.157569998
-25	-70	3.83956562286052	-1.040994480	-2.604673326	1.202802725
-20	-70	3.82358839222126	-0.7373727642	-2.699653729	1.237372764
-15	-70	3.80286925094563	-0.4285423450	-2.765367209	1.261290515
-10	-70	3.77783988760642	-0.1175425606	-2.802257896	1.274717627
-5	-70	3.74868574174320	0.1928476113	-2.810767867	1.277815003
-1.23374e-14	-70	3.71566458906076	0.5000000000	-2.791582596	1.270832135
5	-70	3.67921255023144	0.8014600319	-2.745703932	1.254133667
10	-70	3.63991333148379	1.094996470	-2.674392665	1.228178489
15	-70	3.59786567995392	1.378486852	-2.578557564	1.193297365
20	-70	3.55342026639343	1.649942150	-2.459440091	1.149942150
25	-70	3.50696179445427	1.907505248	-2.318404746	1.098609482
30	-70	3.45879569788507	2.149399234	-2.156843276	1.039805916
35	-70	3.40936662593008	2.374013353	-1.976368434	0.9741184460
40	-70	3.35893939412374	2.579758171	-1.778559272	0.9021217988
45	-70	3.30805302544470	2.765325200	-1.565325200	0.8245109437

-45	-65	3.83235724454905	-2.073592429	-1.873592429	1.200085859
-40	-65	3.83530880382108	-1.821614819	-2.066792802	1.290176672
-35	-65	3.83281291376314	-1.553687516	-2.232969733	1.367666248
-30	-65	3.82513263623949	-1.273418819	-2.371651498	1.432334617
-25	-65	3.81263897401445	-0.9841902787	-2.482856324	1.484190279
-20	-65	3.79569670657232	-0.6890601149	-2.566915816	1.523387864
-15	-65	3.77461021284967	-0.3907539244	-2.624338903	1.550164689
-10	-65	3.74984223236450	-0.09174088099	-2.655929300	1.564895533
-5	-65	3.72159793348038	0.2058316269	-2.662359890	1.567894166
-1.23374e-14	-65	3.69004401128159	0.5000000000	-2.644315622	1.559479986
5	-65	3.65553798811297	0.7889467594	-2.602676573	1.540063378
10	-65	3.61850810127874	1.071015803	-2.538391540	1.510086775
15	-65	3.57896792894347	1.344585149	-2.452034687	1.469817913
20	-65	3.53716439539467	1.608070910	-2.344399803	1.419626943
25	-65	3.49341772234797	1.859923313	-2.216364955	1.359923313
30	-65	3.44792967902569	2.098538916	-2.068750621	1.291089618
35	-65	3.40097731982774	2.322302529	-1.902517724	1.213573945
40	-65	3.35286243608041	2.529577152	-1.718755862	1.127884382
45	-65	3.30392283221863	2.718726033	-1.518726033	1.034608941

-45	-60	3.80995736511948	-1.994202574	-1.794202574	1.440028528
-40	-60	3.80957424776634	-1.739492063	-1.968922711	1.540903246
-35	-60	3.80418759369663	-1.472518412	-2.117048238	1.626423558
-30	-60	3.79423591384354	-1.196833885	-2.239002501	1.696833885
-25	-60	3.78015828945059	-0.9154938113	-2.335536274	1.752567685
-20	-60	3.76235668473630	-0.6310644172	-2.407573946	1.794158654
-15	-60	3.74108500084860	-0.3456521538	-2.456016803	1.822127151
-10	-60	3.71674953043695	-0.06105741412	-2.481914712	1.837079316
-5	-60	3.68963964234426	0.2212445589	-2.486189271	1.839547233
-1.23374e-14	-60	3.65982517667641	0.5000000000	-2.469501576	1.829912588
5	-60	3.62755752001849	0.7740650834	-2.432578238	1.808594889
10	-60	3.59309025147932	1.042390578	-2.376049823	1.775958193
15	-60	3.55638475065467	1.303901655	-2.300201821	1.732167329
20	-60	3.51766805174187	1.557504511	-2.205469764	1.677473750
25	-60	3.47707104546306	1.802001707	-2.092151672	1.612049519
30	-60	3.43469451816253	2.036042085	-1.960502934	1.536042085
35	-60	3.39068949409474	2.258114522	-1.810847751	1.449638625
40	-60	3.34529314620005	2.466560293	-1.643655294	1.353110015
45	-60	3.29870175521970	2.659507213	-1.459507213	1.246792071

-45	-55	3.78257813540372	-1.896971628	-1.696971628	1.678377603
-40	-55	3.77861441963228	-1.640377168	-1.850802179	1.786090914
-35	-55	3.77025392394931	-1.375862740	-1.979009633	1.875862740
-30	-55	3.75807260452832	-1.106707784	-2.082899514	1.948607218
-25	-55	3.74250022086102	-0.8354398841	-2.163860073	2.005296412
-20	-55	3.72396094001920	-0.5640037995	-2.223326413	2.046935191
-15	-55	3.70274002201539	-0.2938217843	-2.262583231	2.074423111
-10	-55	3.67910524029277	-0.02594686844	-2.282792913	2.088574083
-5	-55	3.65337623040051	0.2388450469	-2.285014773	2.090129846
-1.23374e-14	-55	3.62553019303458	0.5000000000	-2.269860469	2.079518688
5	-55	3.59572345338791	0.7570337493	-2.237909198	2.057146167
10	-55	3.56408329167507	1.009503894	-2.189540171	2.023277809
15	-55	3.53052835835063	1.256901728	-2.124795705	1.977943247
20	-55	3.49518992774039	1.498639734	-2.043740120	1.921187515
25	-55	3.45802248752575	1.733929426	-1.946170194	1.852868317
30	-55	3.41909104365538	1.961781283	-1.831879452	1.772841078
35	-55	3.37843208576802	2.180914601	-1.700594836	1.680914601
40	-55	3.33616114660657	2.389751733	-1.552118416	1.576950292
45	-55	3.29234522312401	2.586317270	-1.386317270	1.460855080

-45	-50	3.74991921385765	-1.780402381	-1.580402381	1.913484797
-40	-50	3.74229510340262	-1.523519599	-1.711536752	2.023519599
-35	-50	3.73104718892490	-1.263606641	-1.818691309	2.113432949
-30	-50	3.71681335211418	-1.003383157	-1.903936011	2.184961746
-25	-50	3.70002367279738	-0.7446675020	-1.969198072	2.239723117
-20	-50	3.68105039222351	-0.4886322472	-2.016244775	2.279199989
-15	-50	3.66019008895107	-0.2359506250	-2.046605124	2.304675347
-10	-50	3.63757296356595	0.01307923755	-2.061464868	2.317144152
-5	-50	3.61346373942355	0.2583669856	-2.061877993	2.317490805
-1.23374e-14	-50	3.58779155363166	0.5000000000	-2.048407783	2.306187957
5	-50	3.56062090217811	0.7380994038	-2.021488638	2.283600113
10	-50	3.53196169746631	0.9727837764	-1.981290036	2.249869480
15	-50	3.50170902936656	1.204085003	-1.927681003	2.204886161
20	-50	3.46991696054504	1.431927422	-1.860449549	2.148472272
25	-50	3.43643383470083	1.655997338	-1.779044292	2.080165151
30	-50	3.40123790203737	1.875738647	-1.682849235	1.999447914
35	-50	3.36421548014860	2.090211129	-1.571056854	1.905642969
40	-50	3.32537625126752	2.298084820	-1.442874044	1.798084820
45	-50	3.28473222522612	2.497512683	-1.297512683	1.676112155

-45	-45	3.71162537892054	-1.642907912	-1.442907912	2.142907912
-40	-45	3.70047546440382	-1.388254957	-1.550334629	2.250334629
-35	-45	3.68669879608992	-1.135834731	-1.636214111	2.336214111
-30	-45	3.67083929393238	-0.8874468392	-1.703128418	2.403128418
-25	-45	3.65326237578538	-0.6440030862	-1.753322535	2.453322535
-20	-45	3.63424920715845	-0.4058132444	-1.788701435	2.488701435
-15	-45	3.61409329470401	-0.1727879989	-1.810878995	2.510878995
-10	-45	3.59281390324240	0.05548258411	-1.820983539	2.520983539
-5	-45	3.57054373157102	0.2795339729	-1.819938220	2.519938220
-1.23374e-14	-45	3.54721498548076	0.5000000000	-1.808259771	2.508259771
5	-45	3.52280978779269	0.7175186572	-1.786249629	2.486249629
10	-45	3.49725803457334	0.9326948587	-1.753934486	2.453934486
15	-45	3.47043737920857	1.146045475	-1.711074537	2.411074537
20	-45	3.44224612300783	1.357957710	-1.657219436	2.357219436
25	-45	3.41253885213315	1.568621571	-1.591666354	2.291666354
30	-45	3.38118744605783	1.777968731	-1.513506773	2.213506773
35	-45	3.34803235775488	1.985564163	-1.421605499	2.121605499
40	-45	3.31293164413553	2.190501574	-1.314661325	2.014661325
45	-45	3.27579298642133	2.391279963	-1.191279963	1.891279963