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path: root/test/recoverML/h.t2.ah1.gp
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# 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	2.45714467550453	-0.9186331398	-0.7186331398	1.418633140
-40	-45	2.43478747214730	-0.7424077817	-0.7806439373	1.480643937
-35	-45	2.40909508157848	-0.5689458574	-0.8266128956	1.526612896
-30	-45	2.38087235776951	-0.3998851660	-0.8586468285	1.558646829
-25	-45	2.35069101064597	-0.2361085775	-0.8785899388	1.578589939
-20	-45	2.31893726351434	-0.07798020069	-0.8879875503	1.587987550
-15	-45	2.28585285476974	0.07447297495	-0.8880884775	1.588088477
-10	-45	2.25156681213922	0.2214270797	-0.8798655382	1.579865538
-5	-45	2.21612224235185	0.3631637916	-0.8640450194	1.564045019
0	-45	2.17949468287513	0.5000000000	-0.8411354698	1.541135470
5	-45	2.14160602657117	0.6322351462	-0.8114546370	1.511454637
10	-45	2.10234035278370	0.7601100213	-0.7751572350	1.475157235
15	-45	2.06154778917881	0.8837711145	-0.7322532979	1.432253298
20	-45	2.01905479083745	1.003236423	-0.6826307083	1.382630708
25	-45	1.97467223898553	1.118359949	-0.6260771895	1.326077190
30	-45	1.92820920666634	1.228794577	-0.5623092350	1.262309235
35	-45	1.87948813646255	1.333952580	-0.4910077141	1.191007714
40	-45	1.82837156393733	1.432969750	-0.4118700512	1.111870051
45	-45	1.77479113421222	1.524676139	-0.3246761391	1.024676139

-45	-40	2.40916551708244	-0.9650627037	-0.5293335743	1.465062704
-40	-40	2.38522701221546	-0.7897308935	-0.5897308935	1.537041426
-35	-40	2.35781208261793	-0.6145002561	-0.6355708170	1.591671319
-30	-40	2.32770813624210	-0.4415154526	-0.6683639053	1.630752600
-25	-40	2.29550308472132	-0.2721945433	-0.6895293057	1.655976542
-20	-40	2.26162131768096	-0.1074113439	-0.7003305398	1.668848952
-15	-40	2.22634668283285	0.05235078153	-0.7018414861	1.670649627
-10	-40	2.18985937550495	0.2068682862	-0.6949465472	1.662432559
-5	-40	2.15226189393757	0.3560778337	-0.6803506856	1.645037889
0	-40	2.11358706381020	0.5000000000	-0.6585875766	1.619101625
5	-40	2.07381749267752	0.6386765741	-0.6300404592	1.585080496
10	-40	2.03290528088967	0.7721220438	-0.5949663499	1.543280800
15	-40	1.99077588368347	0.9002832422	-0.5535119731	1.493877397
20	-40	1.94734264619312	1.023004450	-0.5057382717	1.436942917
25	-40	1.90251641551851	1.139996001	-0.4516439823	1.372475853
30	-40	1.85622053506711	1.250807324	-0.3911957306	1.300436432
35	-40	1.80840567814520	1.354804590	-0.3243623174	1.220787472
40	-40	1.75907309291160	1.451159324	-0.2511593237	1.133547541
45	-40	1.70829660316243	1.538850018	-0.1716986667	1.038850018

-45	-35	2.35996178818068	-0.9954777528	-0.3471447958	1.495477753
-40	-35	2.33391335212332	-0.8220335011	-0.4032037065	1.575538174
-35	-35	2.30439748305349	-0.6465364041	-0.4465364041	1.637423680
-30	-35	2.27217543957385	-0.4714346552	-0.4781511238	1.682574179
-25	-35	2.23783520838702	-0.2985288484	-0.4990708480	1.712450642
-20	-35	2.20182988465719	-0.1291030977	-0.5102713076	1.728446556
-15	-35	2.16448640819684	0.03596081484	-0.5126318894	1.731817816
-10	-35	2.12603405297137	0.1960725831	-0.5069183488	1.723658034
-5	-35	2.08662478737592	0.3508414233	-0.4937770628	1.704890333
0	-35	2.04634803133899	0.5000000000	-0.4737370113	1.676270173
5	-35	2.00524595577702	0.6433413589	-0.4472194914	1.638399230
10	-35	1.96333865496801	0.7806692796	-0.4145585577	1.591754583
15	-35	1.92062128641482	0.9117575113	-0.3760088908	1.536699953
20	-35	1.87708228998931	1.036316766	-0.3317685546	1.473518205
25	-35	1.83271487044962	1.153969376	-0.2820003571	1.402441853
30	-35	1.78752954392539	1.264231545	-0.2268562208	1.323687864
35	-35	1.74156560146699	1.366503447	-0.1665034469	1.237495171
40	-35	1.69490868355667	1.460072515	-0.1011563669	1.144169868
45	-35	1.64770411727279	1.544129131	-0.03110708825	1.044129131

-45	-30	2.31022496516758	-1.012397254	-0.1731829615	1.512397254
-40	-30	2.28163410205510	-0.8412788750	-0.2228793468	1.598473918
-35	-30	2.24970090216795	-0.6664977977	-0.2618260026	1.665931505
-30	-30	2.21515880977434	-0.4906491359	-0.2906491359	1.715854636
-25	-30	2.17860193911468	-0.3157852995	-0.3100495971	1.749457220
-20	-30	2.14050333088300	-0.1434921926	-0.3207438841	1.767980269
-15	-30	2.10122815405951	0.02502867118	-0.3234209779	1.772617131
-10	-30	2.06104997371398	0.1888767028	-0.3187160164	1.764467899
-5	-30	2.02016863279249	0.3473745263	-0.3071974446	1.744517147
0	-30	1.97872486102570	0.5000000000	-0.2893624305	1.713625997
5	-30	1.93681689695230	0.6463281785	-0.2656406884	1.672538734
10	-30	1.89451923424517	0.7859848515	-0.2364047994	1.621900689
15	-30	1.85188503672026	0.9186086575	-0.2019762997	1.562268778
20	-30	1.80896164623100	1.043821950	-0.1626412817	1.494138529
25	-30	1.76580131319363	1.161210626	-0.1186658026	1.417970764
30	-30	1.72246736554697	1.270310824	-0.07031082368	1.334217484
35	-30	1.67904759846153	1.370606988	-0.01785171010	1.243355634
40	-30	1.63566458920674	1.461539959	0.03840353002	1.145918700
45	-30	1.59248175331773	1.542524025	0.09809847333	1.042524025

-45	-25	2.26038164773462	-1.017943324	-0.007828596728	1.517943324
-40	-25	2.22892787715677	-0.8492295550	-0.04979901164	1.607949169
-35	-25	2.19435179514531	-0.6757716824	-0.08301262099	1.679175985
-30	-25	2.15735956452990	-0.5002011473	-0.1078310162	1.732399205
-25	-25	2.11855671844161	-0.3247151928	-0.1247151928	1.768607438
-20	-25	2.07843735083336	-0.1511023262	-0.1341726118	1.788888939
-15	-25	2.03739876277414	0.01920308554	-0.1367231160	1.794358513
-10	-25	1.99575278437456	0.1850618139	-0.1328736047	1.786103209
-5	-25	1.95374295328444	0.3455691893	-0.1231040089	1.765152243
0	-25	1.91155457303879	0.5000000000	-0.1078578709	1.732456795
5	-25	1.86933063777197	0.6477585602	-0.08754144163	1.688888072
10	-25	1.82718182031441	0.7883369788	-0.06252505873	1.635240266
15	-25	1.78520801044180	0.9212835105	-0.03315289895	1.572251466
20	-25	1.74349413013758	1.046176233	0.0002555253144	1.500606869
25	-25	1.70212143366736	1.162604590	0.03739540978	1.420960129
30	-25	1.66117973836928	1.270160852	0.07796529693	1.333957726
35	-25	1.62076938425545	1.368436296	0.1216593317	1.240255565
40	-25	1.58101271238195	1.457029207	0.1681560667	1.140542995
45	-25	1.54205515607331	1.535556244	0.2171121928	1.035556244

-45	-20	2.21066481365495	-1.013843543	0.1490060112	1.513843543
-40	-20	2.17613968954347	-0.8474027868	0.1155467483	1.605772112
-35	-20	2.13878739043982	-0.6756189839	0.08890929671	1.678957909
-30	-20	2.09930400937434	-0.5010971240	0.06889341847	1.733951082
-25	-20	2.05830030700404	-0.3260906889	0.05520591114	1.771557199
-20	-20	2.01629017204287	-0.1525029077	0.04749709234	1.792737005
-15	-20	1.97369879037587	0.01808416691	0.04538702254	1.798534374
-10	-20	1.93086829399578	0.1843716553	0.04848698645	1.790017293
-5	-20	1.88807827177920	0.3452983816	0.05641051052	1.768247590
0	-20	1.84554694885890	0.5000000000	0.06878576804	1.734246849
5	-20	1.80344819355048	0.6477673667	0.08525837644	1.688988730
10	-20	1.76191857052918	0.7880110693	0.1054939526	1.633391941
15	-20	1.72108072850042	0.9202343626	0.1291723815	1.568335992
20	-20	1.68103484899795	1.044009063	0.1559909372	1.494652616
25	-20	1.64187167282421	1.158958703	0.1856585574	1.413141500
30	-20	1.60367909904400	1.264747996	0.2178914395	1.324582384
35	-20	1.56654673354684	1.361077678	0.2524089260	1.229746369
40	-20	1.53057257762819	1.447686293	0.2889289073	1.129408545
45	-20	1.49586321829207	1.524353787	0.3271657122	1.024353787

-45	-15	2.16117015584705	-1.001465597	0.2976835057	1.501465597
-40	-15	2.12347163387902	-0.8370651812	0.2730357609	1.593452233
-35	-15	2.08331042680968	-0.6671538567	0.2533639439	1.666868454
-30	-15	2.04138437342429	-0.4942735575	0.2385560361	1.722132318
-25	-15	1.99830299492706	-0.3206671856	0.2284291266	1.759926459
-20	-15	1.95459562479068	-0.1482770663	0.2227485656	1.781126601
-15	-15	1.91070752002172	0.02124776026	0.2212477603	1.786727683
-10	-15	1.86700584572717	0.1865280047	0.2236431336	1.777788028
-5	-15	1.82378899378097	0.3464234529	0.2296452121	1.755387966
0	-15	1.78129512137898	0.5000000000	0.2389668976	1.720598962
5	-15	1.73971289867258	0.6464967169	0.2513284189	1.674465137
10	-15	1.69919580873972	0.7852965360	0.2664589949	1.617997058
15	-15	1.65986522215880	0.9159004894	0.2840995106	1.552161758
20	-15	1.62181897268753	1.037905658	0.3040022697	1.477883649
25	-15	1.58513694656439	1.150987303	0.3259303938	1.396046776
30	-15	1.54989007676517	1.254887095	0.3496556798	1.307502803
35	-15	1.51614122347724	1.349402976	0.3749580246	1.213073167
40	-15	1.48395199555373	1.434385236	0.4016233113	1.113556962
45	-15	1.45338406886328	1.509733627	0.4294426902	1.009733627

-45	-10	2.11189772618913	-0.9818633939	0.4387075019	1.481863394
-40	-10	2.07102345043221	-0.8192477305	0.4227755078	1.572218222
-35	-10	2.02812061804053	-0.6513343279	0.4100698082	1.644275826
-30	-10	1.98388608190236	-0.4805761879	0.4005248845	1.698407778
-25	-10	1.93892698069378	-0.3091588880	0.3940291648	1.735246835
-20	-10	1.89378183538526	-0.1389993116	0.3904339732	1.755636180
-15	-10	1.84890362498786	0.02826182143	0.3895673842	1.760550850
-10	-10	1.80466799794624	0.1912431966	0.3912431966	1.751046846
-5	-10	1.76138016973207	0.3488005145	0.3952685332	1.728218028
0	-10	1.71928219247571	0.5000000000	0.4014497804	1.693162433
5	-10	1.67856121142133	0.6440901833	0.4095968100	1.646958332
10	-10	1.63936884923850	0.7804761241	0.4195238759	1.590659144
15	-10	1.60181393918198	0.9086945257	0.4310539692	1.525268735
20	-10	1.56597799629221	1.028391836	0.4440182511	1.451744639
25	-10	1.53191945102314	1.139305271	0.4582566654	1.370994579
30	-10	1.49968118196591	1.241248033	0.4736174474	1.283879255
35	-10	1.46929287295102	1.334096014	0.4899570861	1.191212559
40	-10	1.44077698540110	1.417778970	0.5071394759	1.093766384
45	-10	1.41415173675659	1.492273284	0.5250354478	0.9922732839

-45	-5	2.06278276827507	-0.9558245268	0.5726318578	1.455824527
-40	-5	2.01881962211731	-0.7947676383	0.5650011440	1.543043985
-35	-5	1.97332962859503	-0.6289598696	0.5589401216	1.612321788
-30	-5	1.92700290026291	-0.4607477145	0.5544132773	1.664063855
-25	-5	1.88044569204265	-0.2922241691	0.5513628662	1.698930213
-20	-5	1.83418501269743	-0.1252188872	0.5497141807	1.717774775
-15	-5	1.78866659299836	0.03870327167	0.5493810193	1.721582828
-10	-5	1.74425749640557	0.1982308791	0.5502703501	1.711417729
-5	-5	1.70125311807221	0.3522859865	0.5522859865	1.688378901
0	-5	1.65988138996588	0.5000000000	0.5553318046	1.653565040
5	-5	1.62031778484645	0.6406866742	0.5593133258	1.608056045
10	-5	1.58269201861409	0.7738171285	0.5641393703	1.552894103
15	-5	1.54709168186321	0.8989946109	0.5697234168	1.489068160
20	-5	1.51357396309600	1.015932156	0.5759837740	1.417511950
25	-5	1.48217010388988	1.124432274	0.5828439891	1.339099332
30	-5	1.45289345950755	1.224370508	0.5902326524	1.254646524
35	-5	1.42574087992151	1.315679355	0.5980835071	1.164910844
40	-5	1.40070160490869	1.398338360	0.6063348146	1.070597968
45	-5	1.37775751911165	1.472362781	0.6149292799	0.9723627806

-45	0	2.01371542944862	-0.9239118355	0.7000000000	1.423911836
-40	0	1.96683436530094	-0.7642567603	0.7000000000	1.506682536
-35	0	1.91899703907087	-0.6006914830	0.7000000000	1.571950348
-30	0	1.87087854100029	-0.4354392705	0.7000000000	1.620228344
-25	0	1.82306825456888	-0.2704619368	0.7000000000	1.652260955
-20	0	1.77606917519572	-0.1074514339	0.7000000000	1.668959098
-15	0	1.73029719916116	0.05216613117	0.7000000000	1.671338752
-10	0	1.68609060543706	0.2072134390	0.7000000000	1.660475101
-5	0	1.64371793850539	0.3567405422	0.7000000000	1.637463095
0	0	1.60337857999931	0.5000000000	0.7000000000	1.603378580
5	0	1.56521795849281	0.6364177337	0.7000000000	1.559261832
10	0	1.52933519734916	0.7655662701	0.7000000000	1.506101159
15	0	1.49578991319860	0.8871389170	0.7000000000	1.444822108
20	0	1.46461251840676	1.000926983	0.7000000000	1.376285576
25	0	1.43580650361249	1.106798049	0.7000000000	1.301282615
30	0	1.40935972904535	1.204679865	0.7000000000	1.220541328
35	0	1.38524331607539	1.294542925	0.7000000000	1.134724894
40	0	1.36342224334279	1.376390925	0.7000000000	1.044442033
45	0	1.34385406277952	1.450248321	0.7000000000	0.9502483207

-45	5	1.96455976168527	-0.8865028976	0.8213032855	1.386502898
-40	5	1.91501259858309	-0.7281911234	0.8280572604	1.463701184
-35	5	1.86514940543861	-0.5670689778	0.8333268119	1.523932434
-30	5	1.81561470839946	-0.4052127951	0.8371712492	1.567874553
-25	5	1.76695979688711	-0.2444130202	0.8396668039	1.596398873
-20	5	1.71964209721867	-0.08617462845	0.8409006287	1.610501556
-15	5	1.67403005026406	0.06826801130	0.8409657344	1.611245717
-10	5	1.63041354764799	0.2179267029	0.8399571165	1.599717162
-5	5	1.58901119129800	0.3620315706	0.8379684294	1.576986364
0	5	1.54997861976588	0.5000000000	0.8350895378	1.544080483
5	5	1.51342092514209	0.6314051840	0.8314051840	1.501968126
10	5	1.47940051594777	0.7559469540	0.8269939339	1.451547307
15	5	1.44794688313100	0.8734251887	0.8219278565	1.393641777
20	5	1.41906262847496	0.9837160653	0.8162723434	1.328998967
25	5	1.39272980339555	1.086751437	0.8100863306	1.258292516
30	5	1.36891731036489	1.182502438	0.8034228775	1.182128899
35	5	1.34758216902324	1.270964044	0.7963294597	1.101050762
40	5	1.32867703319249	1.352145484	0.7888488885	1.015547442
45	5	1.31214930970416	1.426059291	0.7810196897	0.9260592910

-45	10	1.91516291849542	-0.8438197253	0.9369516748	1.343819725
-40	10	1.86328328126201	-0.6869166617	0.9494166646	1.414512196
-35	10	1.81179325248777	-0.5285284554	0.9590050910	1.468890864
-30	10	1.76128632263679	-0.3705517135	0.9658728391	1.507839798
-25	10	1.71225018397691	-0.2145614397	0.9702002830	1.532381953
-20	10	1.66507331571850	-0.06182854992	0.9721803119	1.543611255
-15	10	1.62005380358240	0.08665166742	0.9720085207	1.542636978
-10	10	1.57741141525097	0.2301240413	0.9698759587	1.530542618
-5	10	1.53730025803441	0.3680358664	0.9659640267	1.508356950
0	10	1.49981883382938	0.5000000000	0.9604408073	1.477033216
5	10	1.46502448224725	0.6257598739	0.9534597965	1.437441936
10	10	1.43293981751830	0.7451586209	0.9451586209	1.390363629
15	10	1.40356301487498	0.8581118297	0.9356595186	1.336491543
20	10	1.37687386283238	0.9645843750	0.9250699437	1.276435080
25	10	1.35284062008132	1.064571550	0.9134839417	1.210727597
30	10	1.33142247220892	1.158082732	0.9009832633	1.139832727
35	10	1.31257561134479	1.245129923	0.8876393817	1.064155814
40	10	1.29625304779543	1.325716817	0.8735147387	0.9840509832
45	10	1.28240844570736	1.399832463	0.8586647413	0.8998324626

-45	15	1.86537029475060	-0.7959596525	1.047251342	1.295959652
-40	15	1.81157479247372	-0.6406762113	1.064251465	1.359404973
-35	15	1.75893315804200	-0.4854247320	1.077093571	1.407332367
-30	15	1.70795923783644	-0.3318760198	1.086075004	1.440851532
-25	15	1.65904972286682	-0.1813419538	1.091511962	1.461142535
-20	15	1.61249714658857	-0.03481390546	1.093721630	1.469389129
-15	15	1.56850901887346	0.1069899773	1.093010023	1.466733373
-10	15	1.52721663226235	0.2435789256	1.089661409	1.454236178
-5	15	1.48869593375397	0.3746407715	1.083934360	1.432862538
0	15	1.45298069851971	0.5000000000	1.076059077	1.403471582
5	15	1.42007510167112	0.6195808460	1.066237062	1.366815324
10	15	1.38996148927055	0.7333758099	1.054641471	1.323539988
15	15	1.36261012726969	0.8414194185	1.041419418	1.274194616
20	15	1.33798406320668	0.9437666658	1.026694077	1.219238894
25	15	1.31604466896383	1.040475933	1.010567684	1.159054378
30	15	1.29675348891852	1.131594775	0.9931241553	1.093954241
35	15	1.28007736784464	1.217150559	0.9744327968	1.024197141
40	15	1.26598416277150	1.297139607	0.9545501226	0.9499939906
45	15	1.25444915412444	1.371524273	0.9335242251	0.8715242729

-45	20	1.81503300460494	-0.7429184092	1.152385305	1.242918409
-40	20	1.75982563111831	-0.5896331568	1.172642366	1.298574229
-35	20	1.70658202729292	-0.4380503353	1.187601720	1.339674717
-30	20	1.65570253714973	-0.2895564629	1.197748189	1.367551909
-25	20	1.60746167763338	-0.1451483878	1.203561985	1.383525182
-20	20	1.56203279405750	-0.005498144126	1.205498144	1.388844737
-15	20	1.51950926323461	0.1289831174	1.203972789	1.384653856
-10	20	1.47992303667121	0.2580851787	1.199355197	1.371967128
-5	20	1.44326529954593	0.3817445860	1.191966033	1.351665567
0	20	1.40950021703008	0.5000000000	1.182077466	1.324496953
5	20	1.37857825593415	0.6129552151	1.169916152	1.291084016
10	20	1.35044393994101	0.7207495906	1.155666398	1.251933140
15	20	1.32504362950615	0.8235344257	1.139474736	1.207446915
20	20	1.30232869420563	0.9214538520	1.121453852	1.157934942
25	20	1.28226243629713	1.014630958	1.101688343	1.103629651
30	20	1.26481831552203	1.103155128	1.080238003	1.044695326
35	20	1.24998281512111	1.187073214	1.057142968	0.9812422414
40	20	1.23775377395892	1.266381355	1.032427749	0.9133377334
45	20	1.22814181571610	1.341020559	1.006106450	0.8410205589

-45	25	1.76401896504747	-0.6846144718	1.252394800	1.184614472
-40	25	1.70799824856676	-0.5338969424	1.274561165	1.232150395
-35	25	1.65477371605684	-0.3866564060	1.290474466	1.266276579
-30	25	1.60459527026996	-0.2439270007	1.300846446	1.288519362
-25	25	1.55758702632068	-0.1063400019	1.306340002	1.300300330
-20	25	1.51377833522107	0.02578575679	1.307548949	1.302892925
-15	25	1.47313688895764	0.1523608025	1.304990889	1.297407148
-10	25	1.43558894349093	0.2734580248	1.299104332	1.284783386
-5	25	1.40103704132000	0.3892570357	1.290251242	1.265797874
0	25	1.36937743636628	0.5000000000	1.278723912	1.241077434
5	25	1.34051008400696	0.6059586977	1.264751480	1.211113457
10	25	1.31434467383128	0.7074091194	1.248506305	1.176275568
15	25	1.29080895520027	0.8046124176	1.230112078	1.136829019
20	25	1.26984867221881	0.8977995411	1.209648743	1.092945257
25	25	1.25143403563541	0.9871602695	1.187160270	1.044718569
30	25	1.23555626482205	1.072832092	1.162658469	0.9921742884
35	25	1.22223112949624	1.154892600	1.136129887	0.9352835606
40	25	1.21149722696575	1.233351618	1.107540967	0.8739744250
45	25	1.20341229824817	1.308143026	1.076843282	0.8081430259

-45	30	1.71222668777331	-0.6209154862	1.347160858	1.120915486
-40	30	1.65608878817918	-0.4735465054	1.369857686	1.160227545
-35	30	1.60357470271250	-0.3314733560	1.385584401	1.187467016
-30	30	1.55474164919227	-0.1953016030	1.395301603	1.204297703
-25	30	1.50953587864979	-0.06525111664	1.399855296	1.212184931
-20	30	1.46783099503625	0.05873099017	1.399965980	1.212376640
-15	30	1.42946273395126	0.1768776332	1.396231938	1.205909090
-10	30	1.39425020928505	0.2895326519	1.389136623	1.193619645
-5	30	1.36201359624626	0.3970987041	1.379060446	1.176167195
0	30	1.33258613322916	0.5000000000	1.366293067	1.154053444
5	30	1.30582335369963	0.5986560749	1.351045622	1.127644096
10	30	1.28160620567841	0.6934633092	1.333460025	1.097184948
15	30	1.25984795924157	0.7847818587	1.313619624	1.062820366
20	30	1.24049247158446	0.8729250074	1.291554839	1.024603037
25	30	1.22351854821157	0.9581509028	1.267251132	0.9825077817
30	30	1.20894046740946	1.040654613	1.240654613	0.9364412594
35	30	1.19680748106613	1.120559511	1.211677154	0.8862508281
40	30	1.18720404111245	1.197908442	1.180202364	0.8317348927
45	30	1.18024560292937	1.272652116	1.146090907	0.7726521163

-45	35	1.65960606553501	-0.5516712440	1.436388133	1.051671244
-40	35	1.60414587012802	-0.4086603747	1.458254229	1.082899266
-35	35	1.55308996044671	-0.2727287465	1.472728746	1.103571019
-30	35	1.50626674522392	-0.1439818382	1.481017974	1.115409263
-25	35	1.46342584743905	-0.02219562559	1.484128905	1.119852133
-20	35	1.42428071756337	0.09305693064	1.482878867	1.118066894
-15	35	1.38853853598236	0.2023144667	1.477914845	1.110977535
-10	35	1.35592072829047	0.3061642127	1.469736310	1.099297377
-5	35	1.32617461953685	0.4052008201	1.458716589	1.083559585
0	35	1.29908063379105	0.5000000000	1.445122040	1.064144557
5	35	1.27445827208210	0.5911023309	1.429129196	1.041304407
10	35	1.25216588909594	0.6790035036	1.410836209	1.015179316
15	35	1.23210516301447	0.7641481479	1.390274610	0.9858143087
20	35	1.21422039051907	0.8469249892	1.367415821	0.9531685741
25	35	1.19850033404141	0.9276620047	1.342177228	0.9171241288
30	35	1.18498103821489	1.006620935	1.314427353	0.8774932001
35	35	1.17374444350388	1.083988111	1.283988111	0.8340214569
40	35	1.16492152248416	1.159863948	1.250639869	0.7863952307
45	35	1.15869176519217	1.234248226	1.214126143	0.7342482264

-45	40	1.60617434089354	-0.4767473865	1.519588372	0.9767473865
-40	40	1.55228491978152	-0.3393456079	1.539345608	1.000293144
-35	40	1.50347881241385	-0.2106705127	1.551638025	1.014942676
-30	40	1.45933217552675	-0.09027322730	1.557881383	1.022383220
-25	40	1.41939269983240	0.02252414519	1.559196298	1.023950275
-20	40	1.38322130745926	0.1285035401	1.556450647	1.020678135
-15	40	1.35041154069627	0.2284741521	1.550300151	1.013348260
-10	40	1.32060318189787	0.3232257842	1.541227921	1.002536397
-5	40	1.29348601646480	0.4135043416	1.529575766	0.9886498996
0	40	1.26880139168711	0.5000000000	1.515569814	0.9719582555
5	40	1.24634303731131	0.5833431983	1.499340671	0.9526171161
10	40	1.22595348053459	0.6641045305	1.480935796	0.9306830405
15	40	1.20752644288727	0.7427960895	1.460331118	0.9061273419
20	40	1.19100655597635	0.8198726891	1.437436829	0.8788429905
25	40	1.17638911193910	0.8957307917	1.412099738	0.8486474214
30	40	1.16372543617142	0.9707056970	1.384106335	0.8152861827
35	40	1.15312506670012	1.045063872	1.353181905	0.7784318817
40	40	1.14476096712220	1.118990804	1.318990804	0.7376845139
45	40	1.13887471809129	1.192572952	1.281137708	0.6925729519

-45	45	1.55204784157958	-0.3960752391	1.596075239	0.8960752391
-40	45	1.50070217902591	-0.2657687115	1.612607613	0.9126076130
-35	45	1.45495766421553	-0.1455830572	1.621988156	0.9219881563
-30	45	1.41413135118047	-0.03449141091	1.625766280	0.9257662799
-25	45	1.37758408877443	0.06861558604	1.625106861	0.9251068611
-20	45	1.34474511886385	0.1648309267	1.620869461	0.9208694606
-15	45	1.31511940943262	0.2551815950	1.613674726	0.9136747259
-10	45	1.28828814236520	0.3406077990	1.603958092	0.9039580920
-5	45	1.26390353168652	0.4219592837	1.592009469	0.8920094686
0	45	1.24168303112346	0.5000000000	1.578002491	0.8780024914
5	45	1.22140531673924	0.5754166306	1.562016032	0.8620160322
10	45	1.20290400543891	0.6488281315	1.544046276	0.8440462764
15	45	1.18606746631350	0.7207945098	1.524016328	0.8240163285
20	45	1.17083853538487	0.7918239757	1.501779784	0.8017797837
25	45	1.15721489269586	0.8623767670	1.477119485	0.7771194846
30	45	1.14525442574647	0.9328654855	1.449745014	0.7497450137
35	45	1.13508297871308	1.003650627	1.419287639	0.7192876388
40	45	1.12690272835883	1.075028718	1.385292541	0.6852925406
45	45	1.12100440353059	1.147212194	1.347212194	0.6472121941


### +x patch
# N_rho = 10
# N_sigma = 19
# ghosted_gfn=-3
# dpx = drho = dnu
# dpy = dsigma = dphi
#
# dpx	dpy	gridfn	global_x	global_y	global_z
45	-45	1.77479137626204	1.524676279	-0.3246762788	1.024676279
45	-40	1.70829682104711	1.538850150	-0.1716987779	1.038850150
45	-35	1.64770423563397	1.544129206	-0.03110714077	1.044129206
45	-30	1.59248189855382	1.542524120	0.09809841844	1.042524120
45	-25	1.54205521216877	1.535556282	0.2171121753	1.035556282
45	-20	1.49586328023279	1.524353829	0.3271656968	1.024353829
45	-15	1.45338410176016	1.509733650	0.4294426840	1.009733650
45	-10	1.41415176522595	1.492273304	0.5250354443	0.9922733039
45	-5	1.37775753402291	1.472362791	0.6149292789	0.9723627911
45	0	1.34385407258986	1.450248328	0.7000000000	0.9502483277
45	5	1.31214931698844	1.426059296	0.7810196902	0.9260592961
45	10	1.28240845587432	1.399832470	0.8586647425	0.8998324697
45	15	1.25444916520957	1.371524281	0.9335242272	0.8715242806
45	20	1.22814183030452	1.341020569	1.006106453	0.8410205689
45	25	1.20341230546019	1.308143031	1.076843284	0.8081430307
45	30	1.18024562896590	1.272652133	1.146090917	0.7726521333
45	35	1.15869179665893	1.234248246	1.214126157	0.7342482463
45	40	1.13887474969952	1.192572971	1.281137725	0.6925729711
45	45	1.12100440995117	1.147212198	1.347212198	0.6472121978

50	-45	1.78863733913608	1.587706858	-0.3877068584	0.9126944237
50	-40	1.71879476362195	1.607592167	-0.2293801784	0.9293801784
50	-35	1.65441127564929	1.616831573	-0.08201388655	0.9371329613
50	-30	1.59520736000497	1.617575056	0.05476774075	0.9377568170
50	-25	1.54080322125505	1.611535858	0.1816823172	0.9326893283
50	-20	1.49077975810261	1.600045448	0.2996162005	0.9230477300
50	-15	1.44471453384437	1.584113187	0.4095127471	0.9096789753
50	-10	1.40221223730141	1.564489941	0.5123017027	0.8932131171
50	-5	1.36291059285973	1.541713172	0.6088619068	0.8741011382
50	0	1.32649533509706	1.516154380	0.7000000000	0.8526547657
50	5	1.29269753550082	1.488047240	0.7864429325	0.8290700748
50	10	1.26130106684166	1.457517174	0.8688361122	0.8034523074
50	15	1.23213896451312	1.424596568	0.9477449037	0.7758286391
50	20	1.20509615710224	1.389239698	1.023656781	0.7461607029
50	25	1.18011185912522	1.351333012	1.096983103	0.7143532166
50	30	1.15718248184376	1.310702301	1.168059191	0.6802600014
50	35	1.13636401140274	1.267117116	1.237141187	0.6436876892
50	40	1.11777895108730	1.220297290	1.304401190	0.6044011903
50	45	1.10162194130816	1.169918778	1.369918778	0.5621285998

55	-45	1.80060881800910	1.641022894	-0.4410228938	0.7989528315
55	-40	1.72812404866961	1.666592327	-0.2788871915	0.8168567415
55	-35	1.66059670254428	1.679961523	-0.1262179533	0.8262179533
55	-30	1.59797626547224	1.683321304	0.01680912684	0.8285704969
55	-25	1.54007665510737	1.678507357	0.1504529944	0.8251997350
55	-20	1.48663096898088	1.667012127	0.2752423226	0.8171506887
55	-15	1.43733379796866	1.650018900	0.3918533644	0.8052519029
55	-10	1.39187509293937	1.628446971	0.5010243528	0.7901470753
55	-5	1.34995423831896	1.602988877	0.6035009773	0.7723211261
55	0	1.31130114343994	1.574155012	0.7000000000	0.7521314368
55	5	1.27567694484607	1.542300132	0.7911894455	0.7298264094
55	10	1.24288596864519	1.507655725	0.8776768916	0.7055681347
55	15	1.21277476670932	1.470347949	0.9600039494	0.6794449488
55	20	1.18523614589540	1.430415809	1.038643660	0.6514841633
55	25	1.16021165182735	1.387824617	1.113999418	0.6216614896
55	30	1.13769371366293	1.342476348	1.186403946	0.5899082896
55	35	1.11772641593463	1.294217020	1.256116744	0.5561167442
55	40	1.10040993639107	1.242845856	1.323321684	0.5201462682
55	45	1.08590138700460	1.188121890	1.388121890	0.4818281346

60	-45	1.81075215929748	1.685415548	-0.4854155478	0.6843999856
60	-40	1.73621779499258	1.716364560	-0.3206510539	0.7022684063
60	-35	1.66613179264909	1.733791319	-0.1639099824	0.7123297503
60	-30	1.60063920900590	1.739849800	-0.01582761576	0.7158276158
60	-25	1.53973246940854	1.736433346	0.1234416618	0.7138551254
60	-20	1.48329579859918	1.725150023	0.2540818592	0.7073406955
60	-15	1.43114777462613	1.707330607	0.3764967389	0.6970526510
60	-10	1.38307161965389	1.684049638	0.4912201024	0.6836113771
60	-5	1.33883880687942	1.656154599	0.5988495793	0.6675061691
60	0	1.29822944385244	1.624299678	0.7000000000	0.6491147219
60	5	1.26103872560545	1.588970319	0.7952725578	0.6287173067
60	10	1.22709207980697	1.550515325	0.8852341955	0.6065153059
60	15	1.19624608629486	1.509165188	0.9704049972	0.5826417931
60	20	1.16839466640240	1.465052792	1.051250491	0.5571734894
60	25	1.14347290891350	1.418229669	1.128177526	0.5301401464
60	30	1.12145737725271	1.368677149	1.201530986	0.5015309859
60	35	1.10236709617898	1.316316548	1.271591001	0.4713005789
60	40	1.08626612718430	1.261019513	1.338571192	0.4393748205
60	45	1.07326306223906	1.202615603	1.402615603	0.4056553077

65	-45	1.81914459884094	1.721633702	-0.5216337017	0.5696571506
65	-40	1.74304905581710	1.757436057	-0.3551141318	0.5863520631
65	-35	1.67092395239519	1.778635166	-0.1953099822	0.5962373701
65	-30	1.60307382215951	1.787297612	-0.04322162259	0.6002767346
65	-25	1.53964640933274	1.785323196	0.1006439506	0.5993560494
65	-20	1.48066558650529	1.774393134	0.2361588324	0.5942592780
65	-15	1.42607048017398	1.755955266	0.3634678006	0.5856615591
65	-10	1.37574043589055	1.731221836	0.4829023711	0.5741281711
65	-5	1.32951952412635	1.701183793	0.5949100353	0.5601212014
65	0	1.28724120479595	1.666636728	0.7000000000	0.5440116404
65	5	1.24873671822391	1.628198782	0.7987046036	0.5260877318
65	10	1.21385156573784	1.586339047	0.8915508841	0.5065682168
65	15	1.18244914870325	1.541395398	0.9790410560	0.4856106494
65	20	1.15441903542937	1.493596195	1.061639440	0.4633215149
65	25	1.12968232580248	1.443078156	1.139764567	0.4397645666
65	30	1.10819220598086	1.389898619	1.213783207	0.4149665409
65	35	1.08993517437055	1.334047200	1.284006136	0.3889225964
65	40	1.07493381290378	1.275457541	1.350686137	0.3616017901
65	45	1.06324509926676	1.214014734	1.414014734	0.3329505384

70	-45	1.82586908471527	1.750338860	-0.5503388602	0.4550861279
70	-40	1.74861150900232	1.790299336	-0.3826896966	0.4696305514
70	-35	1.67490702719273	1.814809696	-0.2206396607	0.4785515932
70	-30	1.60518262801704	1.825824246	-0.06546498515	0.4825605613
70	-25	1.53971340048481	1.825214960	0.08204211533	0.4823387995
70	-20	1.47864503715353	1.814702473	0.2214874329	0.4785125671
70	-15	1.42202530985248	1.795821537	0.3527856656	0.4716404685
70	-10	1.36982330011690	1.769898834	0.4760825727	0.4622053762
70	-5	1.32195379799964	1.738053343	0.5916843676	0.4506145654
70	0	1.27830178639910	1.701210756	0.7000000000	0.4372049602
70	5	1.23873092083714	1.660112373	0.8014966811	0.4222463723
70	10	1.20310553073239	1.615342622	0.8966649970	0.4059515154
70	15	1.17129289299714	1.567341451	0.9859932798	0.3884805179
70	20	1.14317528989046	1.516427434	1.069949331	0.3699493312
70	25	1.11865532391907	1.462814749	1.148967891	0.3504359096
70	30	1.09765996856018	1.406628426	1.223442166	0.3299857607
70	35	1.08014131055449	1.347915882	1.293717092	0.3086161421
70	40	1.06608063022389	1.286660228	1.360086307	0.2863209076
70	45	1.05548658507618	1.222787797	1.422787797	0.2630732439

75	-45	1.83100583327638	1.772085060	-0.5720850601	0.3408541645
75	-40	1.75291482776820	1.815386560	-0.4037403771	0.3524567664
75	-35	1.67803865033450	1.842608214	-0.2401043921	0.3597507866
75	-30	1.60689312427698	1.855591145	-0.08265091275	0.3632295527
75	-25	1.53985109651686	1.856163052	0.06761078330	0.3633827945
75	-20	1.47715694264046	1.846060275	0.2100741262	0.3606757637
75	-15	1.41894898747932	1.826877824	0.3444641586	0.3555358414
75	-10	1.36527345238938	1.800031708	0.4707693341	0.3483424463
75	-5	1.31610735545514	1.766746878	0.5891740086	0.3394238030
75	0	1.27138088734462	1.728059634	0.7000000000	0.3290575872
75	5	1.23098661999381	1.684818587	0.8036581947	0.3174711836
75	10	1.19480318652826	1.637707633	0.9006085518	0.3048478414
75	15	1.16269996661707	1.587256001	0.9913293674	0.2913293674
75	20	1.13455028575952	1.533859725	1.076294166	0.2770218783
75	25	1.11023873536092	1.477798928	1.155955128	0.2620004331
75	30	1.08966656990538	1.419253640	1.230731337	0.2463132705
75	35	1.07275441731117	1.358316876	1.300999947	0.2299853137
75	40	1.05944742056310	1.295008905	1.367091679	0.2130219941
75	45	1.04971325659401	1.229284706	1.429284706	0.1954112481

80	-45	1.83462293096025	1.787306923	-0.5873069227	0.2269869429
80	-40	1.75597401127181	1.833048323	-0.4185603566	0.2350523860
80	-35	1.68029204988120	1.862277753	-0.2538771515	0.2402063230
80	-30	1.60815253726132	1.876741741	-0.09486221459	0.2427567144
80	-25	1.53999658005492	1.878223222	0.05732395671	0.2430179396
80	-20	1.47614040754449	1.868460430	0.2019211366	0.2412964959
80	-15	1.41679063952227	1.849087065	0.3385132104	0.2378804489
80	-10	1.36205277668011	1.821582818	0.4669692920	0.2330307080
80	-5	1.31195229832760	1.787251697	0.5873800694	0.2269772052
80	0	1.26645472670046	1.747214434	0.7000000000	0.2199175554
80	5	1.22547521203461	1.702402747	0.8051966093	0.2120160459
80	10	1.18890279941154	1.653577555	0.9034068473	0.2034068473
80	15	1.15660732204461	1.601337018	0.9951023645	0.1941954311
80	20	1.12845428347856	1.546136957	1.080762713	0.1844621711
80	25	1.10431280714891	1.488307101	1.160855170	0.1742652071
80	30	1.08406292947819	1.428067860	1.235820229	0.1636434037
80	35	1.06760034389153	1.365544890	1.306061056	0.1526189171
80	40	1.05484205435877	1.300783738	1.371937339	0.1411997787
80	45	1.04572485977834	1.233757781	1.433757781	0.1293812941

85	-45	1.83677246687841	1.796316049	-0.5963160486	0.1134129586
85	-40	1.75780353516767	1.843541613	-0.4273652717	0.1175446601
85	-35	1.68165046219981	1.874003431	-0.2620875596	0.1202097238
85	-30	1.60892384000982	1.889386600	-0.1021627274	0.1215555767
85	-25	1.54010434439690	1.891441302	0.05116026500	0.1217353399
85	-20	1.47555048783443	1.881901711	0.1970289106	0.1209007338
85	-15	1.41551244002132	1.862423785	0.3349396472	0.1191966361
85	-10	1.36013313830067	1.834525419	0.4646871621	0.1167558454
85	-5	1.30946867856089	1.799559286	0.5863032949	0.1136967051
85	0	1.26350695851755	1.758698933	0.7000000000	0.1101218874
85	5	1.22217738209801	1.712928566	0.8061174992	0.1061174992
85	10	1.18537559681169	1.663058101	0.9050785234	0.1017543989
85	15	1.15297086737403	1.609728808	0.9973509379	0.09708869028
85	20	1.12482337329097	1.553434197	1.083418692	0.09216355004
85	25	1.10079202483414	1.494534879	1.163759231	0.08701052742
85	30	1.08074306355826	1.433275953	1.238827123	0.08165106584
85	35	1.06455618939260	1.369802548	1.309042301	0.07609786242
85	40	1.05213063179038	1.304174788	1.374782768	0.07035617747
85	45	1.04338436193732	1.236376398	1.436376398	0.06442458692

90	-45	1.83748440368034	1.799297682	-0.5992976822	0.000000000
90	-40	1.75841120151304	1.847021130	-0.4302849331	0.000000000
90	-35	1.68210306867018	1.877898167	-0.2648146837	0.000000000
90	-30	1.60918255825112	1.893592975	-0.1045912791	0.000000000
90	-25	1.54014312689609	1.895843709	0.04910738888	0.000000000
90	-20	1.47535644820556	1.886381567	0.1953983761	0.000000000
90	-15	1.41508826518495	1.866870302	0.3337482065	0.000000000
90	-10	1.35949439720736	1.838840623	0.4639262754	0.000000000
90	-5	1.30864135649585	1.803661581	0.5859443906	0.000000000
90	0	1.26252466293204	1.762524663	0.7000000000	0.000000000
90	5	1.22107859249391	1.716432020	0.8064240117	0.000000000
90	10	1.18420105961014	1.666210385	0.9056343560	0.000000000
90	15	1.15176101972011	1.612515715	0.9980976873	0.000000000
90	20	1.12361679798254	1.555854414	1.084299578	0.000000000
90	25	1.09962365387855	1.496597480	1.164721037	0.000000000
90	30	1.07964303834797	1.434998298	1.239821519	0.000000000
90	35	1.06354914660016	1.371208458	1.310026729	0.000000000
90	40	1.05123514816298	1.305292844	1.375720928	0.000000000
90	45	1.04261268296234	1.237238498	1.437238498	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	1.12100444882590	1.147212220	1.347212220	0.6472122203
40	45	1.12690280604126	1.075028758	1.385292588	0.6852925879
35	45	1.13508304491740	1.003650656	1.419287681	0.7192876808
30	45	1.14525446360973	0.9328654998	1.449745038	0.7497450385
25	45	1.15721491827626	0.8623767750	1.477119502	0.7771195018
20	45	1.17083854228670	0.7918239774	1.501779788	0.8017797884
15	45	1.18606747607352	0.7207945116	1.524016335	0.8240163352
10	45	1.20290401204120	0.6488281323	1.544046281	0.8440462811
5	45	1.22140532411593	0.5754166311	1.562016037	0.8620160374
0	45	1.24168304270882	0.5000000000	1.578002500	0.8780024996
-5	45	1.26390354975766	0.4219592826	1.592009481	0.8920094813
-10	45	1.28828816802745	0.3406077958	1.603958110	0.9039581100
-15	45	1.31511945066716	0.2551815874	1.613674755	0.9136747546
-20	45	1.34474517924155	0.1648309116	1.620869502	0.9208695020
-25	45	1.37758417745257	0.06861555827	1.625106921	0.9251069207
-30	45	1.41413147347671	-0.03449145714	1.625766360	0.9257663600
-35	45	1.45495785332458	-0.1455831411	1.621988276	0.9219882762
-40	45	1.50070245563511	-0.2657688526	1.612607781	0.9126077812
-45	45	1.55204795767159	-0.3960753062	1.596075306	0.8960753062

45	50	1.10162199429910	1.169918810	1.369918810	0.5621286268
40	50	1.10538728417281	1.097700815	1.412312094	0.5977008152
35	50	1.11182476893536	1.025541878	1.450551585	0.6297875585
30	50	1.12066320578049	0.9532878109	1.485117519	0.6587918205
25	50	1.13170645361232	0.8806997925	1.516413340	0.6850521322
20	50	1.14482673396239	0.8074700170	1.544766929	0.7088436184
15	50	1.15995932753404	0.7332318189	1.570432998	0.7303800078
10	50	1.17709904876761	0.6575649402	1.593595180	0.7498153864
5	50	1.19629591648380	0.5799965378	1.614364611	0.7672430075
0	50	1.21765505703877	0.5000000000	1.632777890	0.7826935835
-5	50	1.24133707261986	0.4169915515	1.648790908	0.7961301011
-10	50	1.26755640298451	0.3303265566	1.662265915	0.8074369740
-15	50	1.29658569559263	0.2392968589	1.672957368	0.8164081688
-20	50	1.32875640914414	0.1431313634	1.680488521	0.8227275562
-25	50	1.36445947567903	0.04100337801	1.684321432	0.8259437509
-30	50	1.40414385112397	-0.06795055745	1.683719222	0.8254384361
-35	50	1.44830594854885	-0.1845911778	1.677697526	0.8203856335
-40	50	1.49747399911077	-0.3097084550	1.664972960	0.8097084550
-45	50	1.55216973286796	-0.4439060826	1.643906083	0.7920312457

45	55	1.08590142462090	1.188121914	1.388121914	0.4818281513
40	55	1.08768375142748	1.116113000	1.434254882	0.5141308031
35	55	1.09243633127869	1.043533844	1.476246776	0.5435338444
30	55	1.09992563231421	0.9702567675	1.514508614	0.5703250714
25	55	1.10997901981945	0.8960748607	1.549385280	0.5947459757
20	55	1.12248220349620	0.8207137101	1.581153677	0.6169904467
15	55	1.13737687709676	0.7438395719	1.610021671	0.6372040343
10	55	1.15466056812752	0.6650646204	1.636127981	0.6554838689
5	55	1.17438306419730	0.5839486368	1.659537309	0.6718752569
0	55	1.19664653842591	0.5000000000	1.680235458	0.6863682571
-5	55	1.22160600749874	0.4126757171	1.698121121	0.6988919332
-10	55	1.24946622064482	0.3213824278	1.712990590	0.7093036473
-15	55	1.28048336261308	0.2254801629	1.724521980	0.7173780133
-20	55	1.31496290102572	0.1242910316	1.732251907	0.7227905665
-25	55	1.35325567215998	0.01711650198	1.735547003	0.7250978179
-30	55	1.39575056158848	-0.09673229540	1.733570654	0.7237139633
-35	55	1.44285677354071	-0.2178830167	1.725243199	0.7178830167
-40	55	1.49498308698262	-0.3468256642	1.709207528	0.7066547184
-45	55	1.55249533381851	-0.4837965363	1.683796536	0.6888617508

45	60	1.07326308583050	1.202615619	1.402615619	0.4056553166
40	60	1.07327528472796	1.130934410	1.451918350	0.4341202618
35	60	1.07647665949198	1.058166488	1.497144358	0.4602315096
30	60	1.08268025458850	0.9841893294	1.538640519	0.4841893294
25	60	1.09174689183299	0.9088085341	1.576692731	0.5061587840
20	60	1.10358738063437	0.8317676983	1.611524260	0.5262687766
15	60	1.11816009942154	0.7527540797	1.643291067	0.5446093515
10	60	1.13547345539245	0.6714040173	1.672080487	0.5612309308
5	60	1.15558304917847	0.5873052910	1.697904042	0.5761401673
0	60	1.17859182276600	0.5000000000	1.720690459	0.5892959114
-5	60	1.20464942633360	0.4089877021	1.740275325	0.6006032388
-10	60	1.23394864164525	0.3137307805	1.756385238	0.6099043015
-15	60	1.26672582245712	0.2136634373	1.768622600	0.6169695459
-20	60	1.30325390976076	0.1082072362	1.776441772	0.6214839466
-25	60	1.34383584716102	-0.003204146341	1.779124774	0.6230329789
-30	60	1.38879269604754	-0.1210869750	1.775754197	0.6210869750
-35	60	1.43844277329152	-0.2458504041	1.765184768	0.6149847125
-40	60	1.49307609560353	-0.3777180460	1.746023635	0.6039220270
-45	60	1.55291659398070	-0.5166225486	1.716622549	0.5869473021

45	65	1.06324511507282	1.214014744	1.414014744	0.3329505433
40	65	1.06173614518262	1.142697236	1.465936740	0.3571621677
35	65	1.06357160804970	1.069880081	1.513873102	0.3795152602
30	65	1.06861224363070	0.9954330329	1.558115185	0.4001456822
25	65	1.07675693915794	0.9191616863	1.598895137	0.4191616863
20	65	1.08794680296179	0.8408159952	1.636384251	0.4366431472
15	65	1.10216358572878	0.7600948135	1.670687059	0.4526388092
10	65	1.11943238616291	0.6766511403	1.701838401	0.4671649184
5	65	1.13981850210860	0.5900953194	1.729794213	0.4802009276
0	65	1.16342795314719	0.5000000000	1.754423814	0.4916858992
-5	65	1.19040729322117	0.4059059622	1.775499774	0.5015137809
-10	65	1.22093714879140	0.3073309811	1.792680304	0.5095251938
-15	65	1.25523149059150	0.2037833542	1.805495572	0.5155010513
-20	65	1.29352757656058	0.09478267952	1.813325438	0.5191521777
-25	65	1.33607750819130	-0.02011041768	1.815380390	0.5201104177
-30	65	1.38313298997331	-0.1412520315	1.810681099	0.5179191022
-35	65	1.43492417287080	-0.2688572145	1.798041898	0.5120253462
-40	65	1.49163159480446	-0.4029244300	1.776063433	0.5017766196
-45	65	1.55335662261634	-0.5431456643	1.743145664	0.4864268118

45	70	1.05548659344453	1.222787803	1.422787803	0.2630732460
40	70	1.05272464518066	1.151816668	1.476804855	0.2827338452
35	70	1.05341334635311	1.079025635	1.526934307	0.3009794735
30	70	1.05745683653967	1.004270460	1.573422057	0.3178996307
25	70	1.06479149387361	0.9273498555	1.616454723	0.3335622401
20	70	1.07538981954817	0.8480128971	1.656157576	0.3480128971
15	70	1.08925900371618	0.7659631565	1.692588013	0.3612724916
10	70	1.10644305305588	0.6808641172	1.725731380	0.3733356905
5	70	1.12701954521343	0.5923434956	1.755490985	0.3841673010
0	70	1.15109995185785	0.5000000000	1.781680131	0.3936993705
-5	70	1.17882886077826	0.4034114553	1.804012118	0.4018275492
-10	70	1.21037503048608	0.3021466982	1.822081834	0.4084043879
-15	70	1.24593026219226	0.1957825970	1.835354804	0.4132353542
-20	70	1.28569658666055	0.08392855711	1.843146894	0.4160714429
-25	70	1.32987686145020	-0.03374081950	1.844610881	0.4166042906
-30	70	1.37865764533507	-0.1574417986	1.838722598	0.4144611308
-35	70	1.43218953403263	-0.2872260760	1.824275351	0.4092027630
-40	70	1.49055865606229	-0.4229108300	1.799882297	0.4003244174
-45	70	1.55376564441002	-0.5640048518	1.764004852	0.3872660952

45	75	1.04971326413138	1.229284711	1.429284711	0.1954112495
40	75	1.04597464660827	1.158608412	1.484898941	0.2103130374
35	75	1.04575648188998	1.085874623	1.536715675	0.2241972894
30	75	1.04899894488102	1.010923825	1.584946024	0.2371205725
25	75	1.05567101351383	0.9335451440	1.629740562	0.2491232326
20	75	1.06577371852291	0.8534831711	1.671187031	0.2602287806
15	75	1.07933824168915	0.7704420196	1.709303358	0.2704420196
10	75	1.09642605118581	0.6840909404	1.744031604	0.2797474251
5	75	1.11712810128490	0.5940704638	1.775230321	0.2881070962
0	75	1.14156192830715	0.5000000000	1.802664149	0.2954579682
-5	75	1.16987089284187	0.4014882024	1.825995000	0.3017094508
-10	75	1.20221380350940	0.2981471988	1.844764121	0.3067386219
-15	75	1.23876224776737	0.1896122539	1.858382839	0.3103877461
-20	75	1.27968694146422	0.07556863131	1.866115602	0.3124597337
-25	75	1.32514725029293	-0.04421419936	1.867071117	0.3127157632
-30	75	1.37527371313983	-0.1698387158	1.860194689	0.3108732299
-35	75	1.43015065660189	-0.3012276197	1.844271628	0.3066066587
-40	75	1.48978892532345	-0.4380605173	1.817936992	0.2995503141
-45	75	1.55411079733842	-0.5797131779	1.779713178	0.2893082741

45	80	1.04572486253934	1.233757783	1.433757783	0.1293812945
40	80	1.04128890945520	1.163303948	1.490494863	0.1393855724
35	80	1.04041634053395	1.090629096	1.543505767	0.1487328251
30	80	1.04307405909295	1.015560643	1.592977229	0.1574559785
25	80	1.04925605397928	0.9378787186	1.639033942	0.1655770199
20	80	1.05898591119671	0.8573227156	1.681736093	0.1731065611
15	80	1.07231427068890	0.7735954292	1.721072043	0.1800425504
10	80	1.08931713167355	0.6863689475	1.756950824	0.1863689475
5	80	1.11009654499464	0.5952923335	1.789196355	0.1920547048
0	80	1.13477570140821	0.5000000000	1.817535909	0.1970517326
-5	80	1.16349762975674	0.4001236382	1.841592039	0.2012934774
-10	80	1.19641316785031	0.2953082198	1.860864772	0.2046917802
-15	80	1.23367815180656	0.1852334127	1.874724896	0.2071356941
-20	80	1.27543852415811	0.06964190719	1.882399142	0.2084888707
-25	80	1.32181940069062	-0.05162568111	1.882965091	0.2085886627
-30	80	1.37290828578244	-0.1785879419	1.875348793	0.2072457039
-35	80	1.42874015667301	-0.3110748313	1.858334904	0.2042456962
-40	80	1.48927160376888	-0.4486701770	1.830581092	0.1993519503
-45	80	1.55436977282595	-0.5906606122	1.790660612	0.1923128927

45	85	1.04338436307287	1.236376399	1.436376399	0.06442458699
40	85	1.03853052833081	1.166060358	1.493779824	0.06944673594
35	85	1.03726314695591	1.093427702	1.547502590	0.07414686894
30	85	1.03956543276146	1.018297151	1.597716999	0.07854006050
25	85	1.04544699890417	0.9404425948	1.644532193	0.08263585919
20	85	1.05494585255090	0.8595995319	1.687991594	0.08643806412
15	85	1.06812541369028	0.7754693137	1.728065475	0.08994407439
10	85	1.08507100083031	0.6877251052	1.764641976	0.09314410364
5	85	1.10589203998615	0.5960208390	1.797523212	0.09602083901
0	85	1.13071565583834	0.5000000000	1.826412941	0.09854836282
-5	85	1.15968478400226	0.3993085202	1.850908880	0.1006914798
-10	85	1.19294528232509	0.2936118664	1.870485270	0.1024041919
-15	85	1.23064321603806	0.1826173802	1.884488063	0.1036292776
-20	85	1.27290876893646	0.06610342007	1.892121056	0.1042970779
-25	85	1.31984461603384	-0.05604520176	1.892442783	0.1043252254
-30	85	1.37151100892394	-0.1837955807	1.884368688	0.1036188336
-35	85	1.42791312133838	-0.3169221138	1.866685688	0.1020717716
-40	85	1.48897500470722	-0.4549524035	1.838067958	0.09956804461
-45	85	1.55453062929359	-0.5971217389	1.797121739	0.09598571466

45	90	1.04261268367174	1.237238499	1.437238499	0.000000000
40	90	1.03761961801774	1.166969034	1.494862742	0.000000000
35	90	1.03622022738895	1.094351505	1.548821918	0.000000000
30	90	1.03840321916019	1.019201610	1.599283567	0.000000000
25	90	1.04418351419408	0.9412910217	1.646351650	0.000000000
20	90	1.05360407309077	0.8603538161	1.690063973	0.000000000
15	90	1.06673274760343	0.7760907511	1.730384711	0.000000000
10	90	1.08365808640872	0.6881752519	1.767194885	0.000000000
5	90	1.10449209571986	0.5962628290	1.800289170	0.000000000
0	90	1.12936330880808	0.5000000000	1.829363309	0.000000000
-5	90	1.15841467920419	0.3990375082	1.854006562	0.000000000
-10	90	1.19179033080272	0.2930477809	1.873684358	0.000000000
-15	90	1.22963313121408	0.1817475272	1.887734398	0.000000000
-20	90	1.27206791212745	0.06492715037	1.895352830	0.000000000
-25	90	1.31918926232802	-0.05751347295	1.895591501	0.000000000
-30	90	1.37104800721693	-0.1855240036	1.887362404	0.000000000
-35	90	1.42763962367207	-0.3188604477	1.869453916	0.000000000
-40	90	1.48887733522683	-0.4570319034	1.840546209	0.000000000
-45	90	1.55458417884227	-0.5992570148	1.799257015	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	1.55458416865329	-0.5992570076	1.799257008	1.346201576e-16
-90	40	1.62447887577150	-0.7444230157	1.744194894	1.523978663e-16
-90	35	1.69815942346984	-0.8910507633	1.674024230	1.703545865e-16
-90	30	1.77510326636984	-1.037284523	1.587551633	1.882630570e-16
-90	25	1.85467198759700	-1.180903665	1.483818251	2.058513293e-16
-90	20	1.93611181446612	-1.319349985	1.362189240	2.228061136e-16
-90	15	2.01857273719249	-1.449791539	1.222445068	2.387805967e-16
-90	10	2.10111806116033	-1.569197357	1.064855322	2.534035920e-16
-90	5	2.18276079625116	-1.674454732	0.8902401384	2.662939028e-16
-90	-2.84217e-14	2.26248671029747	-1.762486710	0.7000000000	2.770747108e-16
-90	-5	2.33926586937757	-1.830364257	0.4961195457	2.853873128e-16
-90	-10	2.41210033748579	-1.875455113	0.2811431720	2.909093501e-16
-90	-15	2.48003022318433	-1.895525243	0.05812094581	2.933672321e-16
-90	-20	2.54213689817817	-1.888827284	-0.1694620263	2.925469687e-16
-90	-25	2.59759029717956	-1.854216314	-0.3977890961	2.883083473e-16
-90	-30	2.64565182958587	-1.791201694	-0.6228259148	2.805912821e-16
-90	-35	2.68568454944638	-1.699983989	-0.8404453730	2.694203350e-16
-90	-40	2.71715005306632	-1.581457699	-1.046550388	2.549050509e-16
-90	-45	2.73963884858743	-1.437217208	-1.237217208	2.372406853e-16

-85	45	1.55453061422108	-0.5971217283	1.797121728	0.09598571373
-85	40	1.62423654420204	-0.7414523822	1.741702236	0.1086130097
-85	35	1.69765593661969	-0.8870808073	1.671244437	0.1213538460
-85	30	1.77426655707093	-1.032168346	1.584597807	0.1340473609
-85	25	1.85343445832190	-1.174526317	1.480844445	0.1465020695
-85	20	1.93441761999058	-1.311645918	1.359385189	0.1584984802
-85	15	2.01638340254927	-1.440759140	1.220024844	0.1697944234
-85	10	2.09841816996840	-1.558910491	1.063041471	0.1801313272
-85	5	2.17956278712144	-1.663068966	0.8892440129	0.1892440129
-85	-2.84217e-14	2.25882788833898	-1.750232366	0.7000000000	0.1968698223
-85	-5	2.33521413583697	-1.817542424	0.4972413106	0.2027586894
-85	-10	2.40774618087540	-1.862414672	0.2834425537	0.2066845023
-85	-15	2.47548084652802	-1.882638180	0.06157402390	0.2084538300
-85	-20	2.53752000946788	-1.876471202	-0.1649647802	0.2079142894
-85	-25	2.59303712287824	-1.842736688	-0.3924360585	0.2049629018
-85	-30	2.64128814121947	-1.780885060	-0.6168696034	0.1995515856
-85	-35	2.68162450061975	-1.691038712	-0.8341818228	0.1916910487
-85	-40	2.71349363178596	-1.574004027	-1.040296014	0.1814518405
-85	-45	2.73645783870089	-1.431275799	-1.231275799	0.1689647385

-80	45	1.55436973962272	-0.5906605889	1.790660589	0.1923128886
-80	40	1.62350789739041	-0.7324866239	1.734179072	0.2173206452
-80	35	1.69614546579082	-0.8751307300	1.662876903	0.2424726497
-80	30	1.77176151839330	-1.016807629	1.575729293	0.2674541095
-80	25	1.84973701045701	-1.155426081	1.471937859	0.2918962827
-80	20	1.92936508884120	-1.288623742	1.351005803	0.3153826241
-80	15	2.00986300087850	-1.413818529	1.212806129	0.3374578428
-80	10	2.09038594444046	-1.528275405	1.057639678	0.3576396782
-80	5	2.17005265060132	-1.629196284	0.8862805373	0.3754347521
-80	-2.84217e-14	2.24795213684244	-1.713800693	0.7000000000	0.3903527920
-80	-5	2.32316775780298	-1.779428637	0.5005758349	0.4019247694
-80	-10	2.39479331394000	-1.823638078	0.2902799134	0.4097200866
-80	-15	2.46194168939772	-1.844293924	0.07184833617	0.4133622696
-80	-20	2.52375909469007	-1.839658504	-0.1515660537	0.4125449198
-80	-25	2.57943722033327	-1.808472840	-0.3764585637	0.4070460458
-80	-30	2.62822511313014	-1.750027366	-0.5990539053	0.3967405319
-80	-35	2.66944360094885	-1.664221172	-0.8154039789	0.3816105848
-80	-40	2.70249313246349	-1.551598666	-1.021495684	0.3617521984
-80	-45	2.72686199303007	-1.413367734	-1.213367734	0.3373783556

-75	45	1.55411072935640	-0.5797131306	1.779713131	0.2893082614
-75	40	1.62229911859841	-0.7173725857	1.721496888	0.3261940012
-75	35	1.69363842471882	-0.8550896814	1.648844010	0.3630951858
-75	30	1.76761248826773	-0.9911756118	1.560930641	0.3995593010
-75	25	1.84363086615347	-1.123705089	1.457146118	0.4350704673
-75	20	1.92104658126777	-1.250555012	1.337149918	0.4690598019
-75	15	1.99915650919405	-1.369437494	1.200914267	0.5009142667
-75	10	2.07722521979889	-1.477961738	1.048768021	0.5299932503
-75	5	2.15448737980059	-1.573683542	0.8814238016	0.5556418303
-75	-2.84217e-14	2.23016035564090	-1.654169484	0.7000000000	0.5772079737
-75	-5	2.30345247337948	-1.717061714	0.5060322337	0.5940598958
-75	-10	2.37356823071711	-1.760143531	0.3014757153	0.6056036338
-75	-15	2.43971356985147	-1.781408184	0.08869851945	0.6113014805
-75	-20	2.50110296156953	-1.779131786	-0.1295361301	0.6106915215
-75	-25	2.55696454151008	-1.751945557	-0.3500994591	0.6034069935
-75	-30	2.60654709288843	-1.698909253	-0.5695408491	0.5891959585
-75	-35	2.64913643748000	-1.619589045	-0.7841522272	0.5679421729
-75	-40	2.68405911609249	-1.514116847	-0.9900447038	0.5396809827
-75	-45	2.71069719702741	-1.383247636	-1.183247636	0.5046146832

-70	45	1.55376552584350	-0.5640047706	1.764004771	0.3872660656
-70	40	1.62061709307653	-0.6958523364	1.703439254	0.4352546550
-70	35	1.69015065970329	-0.8267760178	1.629018569	0.4829069780
-70	30	1.76186201753835	-0.9552358963	1.540180836	0.5296625501
-70	25	1.83520665131454	-1.079542861	1.436552932	0.5749065851
-70	20	1.90961790996940	-1.197891871	1.317982102	0.6179821020
-70	15	1.98450321160151	-1.308379910	1.184553937	0.6581964596
-70	10	2.05926331152480	-1.409046283	1.036616367	0.6948360227
-70	5	2.13328058752924	-1.497887648	0.8747925202	0.7271716352
-70	-2.84217e-14	2.20593464611226	-1.572900509	0.7000000000	0.7544740838
-70	-5	2.27658897108010	-1.632100677	0.5134653613	0.7760211828
-70	-10	2.34459232219717	-1.673561405	0.3167424800	0.7911116538
-70	-15	2.40927569679724	-1.695454128	0.1117298393	0.7990799534
-70	-20	2.46995011842595	-1.696098081	-0.09931433303	0.7993143330
-70	-25	2.52590302269272	-1.674017887	-0.3137611898	0.7912777997
-70	-30	2.57640273188815	-1.628017802	-0.5286116511	0.7745351381
-70	-35	2.62070295043688	-1.557263833	-0.7405116439	0.7487827992
-70	-40	2.65805319128971	-1.461375782	-0.9457896957	0.7138824030
-70	-45	2.68771468343642	-1.340523038	-1.140523038	0.6698956011

-65	45	1.55335638197359	-0.5431455027	1.743145503	0.4864267365
-65	40	1.61847692561382	-0.6675696890	1.679707295	0.5444466874
-65	35	1.68570866742901	-0.7899488211	1.603231888	0.6015130139
-65	30	1.75457184850906	-0.9089532988	1.513459566	0.6570057132
-65	25	1.82458785758333	-1.023197198	1.410278518	0.7102785182
-65	20	1.89529185202339	-1.131257555	1.293729194	0.7606678901
-65	15	1.96622478243139	-1.231674840	1.164000875	0.8074932393
-65	10	2.03693598277623	-1.322960200	1.021437068	0.8500603020
-65	5	2.10698085167194	-1.403598409	0.8665432807	0.8876625161
-65	-2.84217e-14	2.17591081169917	-1.472044913	0.7000000000	0.9195796449
-65	-5	2.24326783987538	-1.526729900	0.5226841097	0.9450796734
-65	-10	2.30856707396740	-1.566057025	0.3356984029	0.9634182127
-65	-15	2.37128557846706	-1.588416142	0.1404105813	0.9738444405
-65	-20	2.43085771204839	-1.592213398	-0.06150340076	0.9756151302
-65	-25	2.48666235113568	-1.575908326	-0.2680119500	0.9680119500
-65	-30	2.53801529579281	-1.538072722	-0.4766818348	0.9503689182
-65	-35	2.58416700066423	-1.477472882	-0.6846414183	0.9221107485
-65	-40	2.62430916918918	-1.393177340	-0.8885644075	0.8828030918
-65	-45	2.65757921853793	-1.284678546	-1.084678546	0.8322092735

-60	45	1.55291627671462	-0.5166223409	1.716622341	0.5869471822
-60	40	1.61590634335728	-0.6320764102	1.649924898	0.6536046202
-60	35	1.68035450016599	-0.7443234112	1.571284632	0.7184104564
-60	30	1.74582846369676	-0.8523129130	1.480758224	0.7807582244
-60	25	1.81193919053244	-0.9550203242	1.378487120	0.8400563758
-60	20	1.87833669488067	-1.051439872	1.264677934	0.8957242280
-60	15	1.94470810348776	-1.140575248	1.139590813	0.9471865610
-60	10	2.01076553829568	-1.221419320	1.003532671	0.9938619078
-60	5	2.07623316448325	-1.292931688	0.8568611972	1.035149593
-60	-2.84217e-14	2.14084165263155	-1.354023257	0.7000000000	1.070420826
-60	-5	2.20431112551005	-1.403533445	0.5334624029	1.099005547
-60	-10	2.26632983323809	-1.440208287	0.3578889308	1.120179777
-60	-15	2.32653903504767	-1.462691649	0.1740983577	1.133160552
-60	-20	2.38452022461337	-1.469529618	-0.01685015645	1.137108455
-60	-25	2.43977451531879	-1.459183578	-0.2135823061	1.131135166
-60	-30	2.49170534841278	-1.430066664	-0.4143245078	1.114324508
-60	-35	2.53960588600375	-1.380609752	-0.6168171245	1.085770546
-60	-40	2.58264913938935	-1.309359917	-0.8182332387	1.044634435
-60	-45	2.61988687290002	-1.215118558	-1.015118558	0.9902241613

-55	45	1.55249494776162	-0.4837962917	1.683796292	0.6888615795
-55	40	1.61294875948155	-0.5888417694	1.613646727	0.7624152149
-55	35	1.67415253237559	-0.6895938183	1.532962559	0.8329625590
-55	30	1.73574928707443	-0.7853439400	1.442093670	0.9000075160
-55	25	1.79746104105033	-0.8754646908	1.341389719	0.9631107450
-55	20	1.85906773350245	-0.9593766952	1.231169678	1.021866563
-55	15	1.92040092265282	-1.036523638	1.111710268	1.075885434
-55	10	1.98133213852902	-1.106342596	0.9832415399	1.124773194
-55	5	2.04175056746987	-1.168225560	0.8459508247	1.168104113
-55	-2.84217e-14	2.10155069213524	-1.221489546	0.7000000000	1.205399957
-55	-5	2.16061962338996	-1.265348294	0.5455520371	1.236110183
-55	-10	2.21881414221282	-1.298878441	0.3828091958	1.259588245
-55	-15	2.27594470219270	-1.320996227	0.2120655315	1.275075285
-55	-20	2.33175580431560	-1.330438998	0.03377468900	1.281687185
-55	-25	2.38589831079170	-1.325752440	-0.1513623449	1.278405622
-55	-30	2.43790782625967	-1.305301073	-0.3422910606	1.264085420
-55	-35	2.48717797950094	-1.267301063	-0.5374775263	1.237477526
-55	-40	2.53292895538386	-1.209886213	-0.7347648904	1.197275216
-55	-45	2.57419403924303	-1.131234004	-0.9312340041	1.142202346

-50	45	1.55216925386833	-0.4439057913	1.643905791	0.7920310013
-50	40	1.60967134481040	-0.5372729833	1.570375378	0.8703753777
-50	35	1.66719313203475	-0.6254601296	1.488055667	0.9443731796
-50	30	1.72448677189524	-0.7081460056	1.397523422	1.013754868
-50	25	1.78139477401504	-0.7850986686	1.299251351	1.078325819
-50	20	1.83783759703309	-0.8561392100	1.193594306	1.137935911
-50	15	1.89378767860406	-0.9210974885	1.080781924	1.192442378
-50	10	1.94925661663354	-0.9797788852	0.9609249429	1.241681917
-50	5	2.00427784513098	-1.031929271	0.8340264445	1.285441286
-50	-2.84217e-14	2.05889146899222	-1.077202369	0.7000000000	1.323429926
-50	-5	2.11313082410058	-1.115128846	0.5586945358	1.355254019
-50	-10	2.16700551578175	-1.145083043	0.4099274740	1.380388575
-50	-15	2.22048500165584	-1.166251024	0.2535293837	1.398150620
-50	-20	2.27347856729786	-1.177598409	0.08940411420	1.407672206
-50	-25	2.32580884830276	-1.177839128	-0.08238923457	1.407874194
-50	-30	2.37718232429473	-1.165413372	-0.2615268586	1.397447746
-50	-35	2.42715306603626	-1.138480840	-0.4472766357	1.374848669
-50	-40	2.47507757583628	-1.094941172	-0.6383145491	1.338314549
-50	-45	2.52006700984283	-1.032504164	-0.8325041641	1.285923679

-45	45	1.55204762022125	-0.3960751113	1.596075111	0.8960751113
-45	40	1.60617407020267	-0.4767472219	1.519588234	0.9767472219
-45	35	1.65960567517855	-0.5516709966	1.436387960	1.051670997
-45	30	1.71222640429727	-0.6209153007	1.347160751	1.120915301
-45	25	1.76401870885772	-0.6846142998	1.252394720	1.184614300
-45	20	1.81503285614124	-0.7429183076	1.152385268	1.242918308
-45	15	1.86537017928997	-0.7959595723	1.047251321	1.295959572
-45	10	1.91516286710776	-0.8438196892	0.9369516684	1.343819689
-45	5	1.96455976987209	-0.8865029034	0.8213032860	1.386502903
-45	-2.84217e-14	2.01371552358112	-0.9239119021	0.7000000000	1.423911902
-45	-5	2.06278279898712	-0.9558245484	0.5726318559	1.455824548
-45	-10	2.11189774640418	-0.9818634081	0.4387074994	1.481863408
-45	-15	2.16117015702695	-1.001465598	0.2976835055	1.501465598
-45	-20	2.21066482103307	-1.013843548	0.1490060093	1.513843548
-45	-25	2.26038163645420	-1.017943317	-0.007828593195	1.517943317
-45	-30	2.31022479069061	-1.012397139	-0.1731828955	1.512397139
-45	-35	2.35996141432497	-0.9954775159	-0.3471446299	1.495477516
-45	-40	2.40916501510802	-0.9650623985	-0.5293333182	1.465062398
-45	-45	2.45714412829096	-0.9186328239	-0.7186328239	1.418632824


### -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	2.73963886096990	-1.437217217	-1.237217217	2.372406864e-16
-40	-90	2.75285029863709	-1.269498063	-1.408805674	2.582542119e-16
-35	-90	2.75660428550331	-1.081123263	-1.558078036	2.765348039e-16
-30	-90	2.75084904614550	-0.8754245231	-1.682305156	2.917482384e-16
-25	-90	2.73565886814800	-0.6561393956	-1.779348935	3.036326737e-16
-20	-90	2.71122324590944	-0.4272929632	-1.847716477	3.120052829e-16
-15	-90	2.67787752385166	-0.1930857036	-1.886631060	3.167709448e-16
-10	-90	2.63607191963022	0.04225091496	-1.896024064	3.179212560e-16
-5	-90	2.58635033380137	0.2745847157	-1.876508490	3.155312875e-16
-2.84217e-14	-90	2.52938154499296	0.5000000000	-1.829381545	3.097599013e-16
5	-90	2.46592614527158	0.7149196248	-1.756542552	3.008396973e-16
10	-90	2.39684544042719	0.9162078429	-1.660431973	2.890695460e-16
15	-90	2.32306635003464	1.101253814	-1.543909784	2.747996934e-16
20	-90	2.24557071267512	1.268030417	-1.410146228	2.584183824e-16
25	-90	2.16536498848296	1.415122787	-1.262487151	2.403353608e-16
30	-90	2.08346472234044	1.541732361	-1.104333377	2.209671095e-16
35	-90	2.00088123336336	1.647658327	-0.9390259527	2.007227887e-16
40	-90	1.91858548690073	1.733242979	-0.7697217509	1.799890038e-16
45	-90	1.83748439949538	1.799297679	-0.5992976792	1.591180744e-16

-45	-85	2.73645785806338	-1.431275812	-1.231275812	0.1689647397
-40	-85	2.74907497993568	-1.263116071	-1.401199911	0.1838311720
-35	-85	2.75227620785757	-1.074602309	-1.548765148	0.1967414574
-30	-85	2.74604062886489	-0.8690961533	-1.671344098	0.2074657259
-25	-85	2.73046537380700	-0.6503340251	-1.766899278	0.2158257209
-20	-85	2.70576513697930	-0.4223145191	-1.834038315	0.2216996255
-15	-85	2.67228747486981	-0.1891823631	-1.872063595	0.2250264064
-10	-85	2.63048745867893	0.04490670696	-1.880962319	0.2258049439
-5	-85	2.58091769244753	0.2759077077	-1.861386621	0.2240922923
-2.84217e-14	-85	2.52423055064668	0.5000000000	-1.814625091	0.2200011885
5	-85	2.46116956748436	0.7136949705	-1.742544689	0.2136949705
10	-85	2.39257159855594	0.9139321341	-1.647525787	0.2053818937
15	-85	2.31933806533441	1.098156787	-1.532351518	0.1953054508
20	-85	2.24241899569824	1.264373659	-1.400099367	0.1837348869
25	-85	2.16279156059593	1.411175342	-1.254021827	0.1709547582
30	-85	2.08144454717711	1.537747837	-1.097431979	0.1572549216
35	-85	1.99936648362101	1.643855792	-0.9335953690	0.1429210756
40	-85	1.91750987184222	1.729792747	-0.7656099241	0.1282242535
45	-85	1.83677246065054	1.796316044	-0.5963160442	0.1134129582

-45	-80	2.72686203330368	-1.413367763	-1.213367763	0.3373783606
-40	-80	2.73771637390605	-1.243932987	-1.378338403	0.3664671355
-35	-80	2.73928667340882	-1.055052867	-1.520845652	0.3915950084
-30	-80	2.73163952339947	-0.8501685883	-1.638560594	0.4123513287
-25	-80	2.71494596300129	-0.6330094832	-1.729746678	0.4284298956
-20	-80	2.68948531680328	-0.4074853469	-1.793295499	0.4396352674
-15	-80	2.65564131791041	-0.1775731203	-1.828737311	0.4458846150
-10	-80	2.61388765001986	0.05279553020	-1.836222579	0.4472044698
-5	-80	2.56477463074211	0.2798359427	-1.816486690	0.4437245001
-2.84217e-14	-80	2.50892439480916	0.5000000000	-1.770808196	0.4356701491
5	-80	2.44703067289790	0.7100567414	-1.700959541	0.4233539466
10	-80	2.37985961912795	0.9071651125	-1.609148100	0.4071651125
15	-80	2.30823464183430	1.088934107	-1.497932010	0.3875547152
20	-80	2.23301899429411	1.253464614	-1.370127014	0.3650192461
25	-80	2.15510222773888	1.399373798	-1.228713333	0.3400841987
30	-80	2.07539532884733	1.525806501	-1.076748978	0.3132887828
35	-80	1.99481854572626	1.632429230	-0.9172765475	0.2851694906
40	-80	1.91427178721025	1.719396483	-0.7532201389	0.2562419194
45	-80	1.83462291672750	1.787306913	-0.5873069127	0.2269869412

-45	-75	2.71069725011403	-1.383247673	-1.183247673	0.5046146930
-40	-75	2.71868137431336	-1.211844955	-1.340097376	0.5466424443
-35	-75	2.71762741710831	-1.022523614	-1.474389065	0.5826257940
-30	-75	2.70773391726600	-0.8188247493	-1.584271472	0.6120686962
-25	-75	2.68929138150908	-0.6044437180	-1.668487197	0.6346342316
-20	-75	2.66267011988694	-0.3831228066	-1.726359970	0.6501411945
-15	-75	2.62830598007585	-0.1585557242	-1.757763423	0.6585557242
-10	-75	2.58669134096371	0.06569214943	-1.763082217	0.6599808909
-5	-75	2.53836169424182	0.2862511367	-1.743160687	0.6546429332
-2.84217e-14	-75	2.48388959350679	0.5000000000	-1.699253108	0.6428779327
5	-75	2.42389343099983	0.7041097874	-1.632985545	0.6251215928
10	-75	2.35903233626836	0.8960836947	-1.546302257	0.6018948757
15	-75	2.29000306756402	1.073789597	-1.441411928	0.5737895968
20	-75	2.21753794119064	1.235486651	-1.320732967	0.5414537667
25	-75	2.14239284056876	1.379842300	-1.186827901	0.5055740124
30	-75	2.06535538045598	1.505948840	-1.042354500	0.4668624812
35	-75	1.98723568195370	1.613328941	-0.8899985073	0.4260388160
40	-75	1.90884809599906	1.701925321	-0.7323988194	0.3838101069
45	-75	1.83100578140566	1.772085024	-0.5720850240	0.3408541549

-45	-70	2.68771481298330	-1.340523126	-1.140523126	0.6698956334
-40	-70	2.69182703888361	-1.166701486	-1.286297483	0.7229531604
-35	-70	2.68729363578533	-0.9771142880	-1.409537826	0.7678089768
-30	-70	2.67448301430801	-0.7753832898	-1.509028657	0.8040206778
-25	-70	2.65382876718038	-0.5651036815	-1.584122216	0.8313524980
-20	-70	2.62579534127697	-0.3497482748	-1.634664197	0.8497482748
-15	-70	2.59087396308165	-0.1326108069	-1.660935673	0.8593103099
-10	-70	2.54956644603045	0.08323649540	-1.663583287	0.8602739626
-5	-70	2.50237696665139	0.2949651916	-1.643558583	0.8529855666
-2.84217e-14	-70	2.44980952437008	0.5000000000	-1.602067932	0.8378842046
5	-70	2.39237650188166	0.6960218081	-1.540539519	0.8154896937
10	-70	2.33060517221817	0.8809711180	-1.460594575	0.7863921138
15	-70	2.26504193379405	1.053052764	-1.364021013	0.7512422116
20	-70	2.19625195673574	1.210741344	-1.252745795	0.7107413445
25	-70	2.12482771917705	1.352791203	-1.128816636	0.6656348194
30	-70	2.05139633900778	1.478251347	-0.9943810357	0.6167042625
35	-70	1.97662176237036	1.586482031	-0.8516571469	0.5647570153
40	-70	1.90120247245552	1.677169610	-0.7028961118	0.5106124265
45	-70	1.82586895295919	1.750338770	-0.5503387700	0.4550860950

-45	-65	2.65757928357065	-1.284678590	-1.084678590	0.8322092939
-40	-65	2.65697813461190	-1.108339805	-1.216744740	0.8937927511
-35	-65	2.64831115969164	-0.9190109692	-1.326557687	0.9449993693
-30	-65	2.63213905913388	-0.7203197603	-1.413655826	0.9856138985
-25	-65	2.60902490995627	-0.5156454452	-1.478058686	1.015645445
-20	-65	2.57952169024183	-0.3080746683	-1.520166905	1.035280830
-15	-65	2.54415637045924	-0.1003844486	-1.540665266	1.044839373
-10	-65	2.50341575475286	0.1049504613	-1.540437267	1.044733055
-5	-65	2.45775056014267	0.3057306306	-1.520509053	1.035440376
-2.84217e-14	-65	2.40757773613929	0.5000000000	-1.482006450	1.017486318
5	-65	2.35328868687493	0.6860123304	-1.426130665	0.9914310115
10	-65	2.29526541445007	0.8622025393	-1.354152676	0.9578671238
15	-65	2.23388769654265	1.027165487	-1.267408383	0.9174175956
20	-65	2.16954302790768	1.179642575	-1.167302627	0.8707375150
25	-65	2.10263850699040	1.318518526	-1.055318643	0.8185185256
30	-65	2.03362179110680	1.442833491	-0.9330355087	0.7614969637
35	-65	1.96298788605082	1.551802894	-0.8021302070	0.7004548191
40	-65	1.89129207029337	1.644849586	-0.6643786077	0.6362201934
45	-65	1.81914441279451	1.721633577	-0.5216335768	0.5696570923

-45	-60	2.61988705839854	-1.215118680	-1.015118680	0.9902242314
-40	-60	2.61395458901062	-1.036636425	-1.131291980	1.057296918
-35	-60	2.60076718093943	-0.8485300139	-1.225900451	1.111919144
-30	-60	2.58105530341681	-0.6542830224	-1.299276841	1.154283022
-25	-60	2.55549173079399	-0.4569130319	-1.352106619	1.184784309
-20	-60	2.52467763910115	-0.2589852004	-1.385294700	1.203945456
-15	-60	2.48913618536202	-0.06265585405	-1.399860234	1.212354872
-10	-60	2.44931274975515	0.1302669667	-1.396860230	1.210622818
-5	-60	2.40558073714301	0.3182563111	-1.377339870	1.199352733
-2.84217e-14	-60	2.35825211254202	0.5000000000	-1.342306238	1.179126056
5	-60	2.30759131666078	0.6743405041	-1.292721081	1.150498052
10	-60	2.25383361469046	0.8402247177	-1.229510256	1.114003266
15	-60	2.19719386518369	0.9966638619	-1.153574767	1.070161891
20	-60	2.13788273395762	1.142704372	-1.065815748	1.019494198
25	-60	2.07612501357558	1.277412448	-0.9671663740	0.9625389548
30	-60	2.01218232212468	1.399875291	-0.8586297246	0.8998752911
35	-60	1.94636832690592	1.509216098	-0.7413099591	0.8321406929
40	-60	1.87906955776123	1.604627732	-0.6164440676	0.7600493368
45	-60	1.81075178334923	1.685415302	-0.4854153017	0.6843998435

-45	-55	2.57419392431787	-1.131233931	-0.9312339312	1.142202295
-40	-55	2.56260402114483	-0.9515741824	-1.029918747	1.211302147
-35	-55	2.54482568171771	-0.7661597262	-1.108263489	1.266159726
-30	-55	2.52171105981242	-0.5781198808	-1.167358410	1.307538435
-25	-55	2.49398051560191	-0.3899294200	-1.208459800	1.336317938
-20	-55	2.46222812693062	-0.2035036416	-1.232860370	1.353403401
-15	-55	2.42693010068984	-0.02030387536	-1.241800498	1.359663347
-10	-55	2.38845577919516	0.1585580582	-1.236413477	1.355891314
-5	-55	2.34707836571472	0.3322233731	-1.217695620	1.342784929
-2.84217e-14	-55	2.30299512528869	0.5000000000	-1.186503165	1.320943737
5	-55	2.25634373284121	0.6612906267	-1.143560299	1.290874819
10	-55	2.20722386026400	0.8155339142	-1.089481751	1.253008612
15	-55	2.15570067901785	0.9621556332	-1.024788304	1.207709772
20	-55	2.10182462051855	1.100529763	-0.9499419646	1.155301801
25	-55	2.04565671865503	1.229953617	-0.8653905824	1.096098286
30	-55	1.98728080624857	1.349632212	-0.7716061590	1.030429726
35	-55	1.92682797680238	1.458679410	-0.6691360887	0.9586794101
40	-55	1.86450306582277	1.556138401	-0.5586567337	0.8813209330
45	-55	1.80060819967237	1.641022502	-0.4410225020	0.7989525572

-45	-50	2.52006705080128	-1.032504189	-0.8325041890	1.285923700
-40	-50	2.50285809258663	-0.8533359246	-0.9128429502	1.353335925
-35	-50	2.48078230000376	-0.6726263213	-0.9746839434	1.405226679
-30	-50	2.45472435153820	-0.4928911933	-1.019737993	1.443031516
-25	-50	2.42537536396520	-0.3158828598	-1.049666439	1.468144464
-20	-50	2.39325540774449	-0.1427647600	-1.065981664	1.481834563
-15	-50	2.35874577441414	0.02572943350	-1.070001851	1.485207900
-10	-50	2.32211188362457	0.1891651384	-1.062832100	1.479191765
-5	-50	2.28350550155690	0.3473015484	-1.045351288	1.464523622
-2.84217e-14	-50	2.24301081299194	0.5000000000	-1.018245969	1.441779559
5	-50	2.20064978449266	0.6471578739	-0.9820221950	1.411384203
10	-50	2.15640110774351	0.7886530338	-0.9370327026	1.373633537
15	-50	2.11020799430749	0.9242973328	-0.8834992036	1.328713598
20	-50	2.06199246845506	1.053796344	-0.8215429490	1.276726127
25	-50	2.01167292429571	1.176715647	-0.7512213881	1.217719331
30	-50	1.95917918953839	1.292452221	-0.6725675086	1.151720890
35	-50	1.90447651338439	1.400215746	-0.5856413227	1.078781160
40	-50	1.84758945978111	1.499021558	-0.4905875302	0.9990215575
45	-50	1.78863671827564	1.587706481	-0.3877064809	0.9126941069

-45	-45	2.45714384002048	-0.9186326575	-0.7186326575	1.418632657
-40	-45	2.43478675091709	-0.7424074137	-0.7806434988	1.480643499
-35	-45	2.40909457676917	-0.5689456334	-0.8266125757	1.526612576
-30	-45	2.38087198889839	-0.3998850266	-0.8586465870	1.558646587
-25	-45	2.35069101768389	-0.2361085797	-0.8785899435	1.578589944
-20	-45	2.31893737626425	-0.07798022879	-0.8879876275	1.587987627
-15	-45	2.28585272749365	0.07447299864	-0.8880883891	1.588088389
-10	-45	2.25156680057788	0.2214270812	-0.8798655301	1.579865530
-5	-45	2.21612216446239	0.3631637964	-0.8640449644	1.564044964
-2.84217e-14	-45	2.17949446758753	0.5000000000	-0.8411353176	1.541135318
5	-45	2.14160591392719	0.6322351392	-0.8114545575	1.511454557
10	-45	2.10234025965637	0.7601100098	-0.7751571696	1.475157170
15	-45	2.06154767394233	0.8837710931	-0.7322532178	1.432253218
20	-45	2.01905459807624	1.003236375	-0.6826305763	1.382630576
25	-45	1.97467195936677	1.118359861	-0.6260770018	1.326077002
30	-45	1.92820875961195	1.228794408	-0.5623089424	1.262308942
35	-45	1.87948764135632	1.333952360	-0.4910074004	1.191007400
40	-45	1.82837102445224	1.432969475	-0.4118697231	1.111869723
45	-45	1.77479080577650	1.524675949	-0.3246759495	1.024675949