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

# N_patches = 5
# origin = 0.5 0.7 0

### +z patch
# N_rho = 19
# N_sigma = 19
# ghosted_gfn=-3
# dpx = dsigma = dnu
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-45	2.72579667115006	-1.073739442	-0.8737394418	1.573739442
-40	-45	2.70496477389460	-0.8802721276	-0.9449442668	1.644944267
-35	-45	2.68069309597894	-0.6894573203	-0.9987211010	1.698721101
-30	-45	2.65377055965036	-0.5030309911	-1.037300638	1.737300638
-25	-45	2.62476395919367	-0.3219333190	-1.062641691	1.762641691
-20	-45	2.59405957791243	-0.1465526683	-1.076388857	1.776388857
-15	-45	2.56190284977825	0.02308439458	-1.079873270	1.779873270
-10	-45	2.52842996751155	0.1871724543	-1.074133172	1.774133172
-5	-45	2.49369067308013	0.3460251108	-1.059941037	1.759941037
0	-45	2.45766490745775	0.5000000000	-1.037831522	1.737831522
5	-45	2.42028007453766	0.6494420941	-1.008130952	1.708130952
10	-45	2.38142168680206	0.7946390887	-0.9709813072	1.670981307
15	-45	2.34093996722965	0.9357818650	-0.9263600610	1.626360061
20	-45	2.29865885809052	1.072925939	-0.8741010792	1.574101079
25	-45	2.25438850366229	1.205951870	-0.8139186707	1.513918671
30	-45	2.20792971081842	1.334518990	-0.7454292899	1.445429290
35	-45	2.15909516557986	1.458017743	-0.6681911303	1.368191130
40	-45	2.10773453604134	1.575521301	-0.5817563742	1.281756374
45	-45	2.05375953873525	1.685738623	-0.4857386225	1.185738623

-45	-40	2.67993601622748	-1.129723769	-0.6675006132	1.629723769
-40	-40	2.65770295693315	-0.9370630517	-0.7370630517	1.712625055
-35	-40	2.63186668883865	-0.7440415080	-0.7908076728	1.776675400
-30	-40	2.60319083423830	-0.5529431755	-0.8303088564	1.823751077
-25	-40	2.57225304920777	-0.3652917009	-0.8570534482	1.855624041
-20	-40	2.53947258583523	-0.1820348058	-0.8723680128	1.873875228
-15	-40	2.50514031972842	-0.003705965893	-0.8773866917	1.879856257
-10	-40	2.46944400341184	0.1694434534	-0.8730427371	1.874679333
-5	-40	2.43248741420208	0.3373390993	-0.8600730001	1.859222603
0	-40	2.39430963821324	0.5000000000	-0.8390325692	1.834147593
5	-40	2.35490176679556	0.6574727336	-0.8103135345	1.799921581
10	-40	2.31421944401175	0.8097783900	-0.7741642586	1.756840551
15	-40	2.27219028688007	0.9568669444	-0.7307073705	1.705050649
20	-40	2.22872635095670	1.098576631	-0.6799629273	1.644575776
25	-40	2.18374069721539	1.234598294	-0.6218765485	1.575351126
30	-40	2.13715454752709	1.364440004	-0.5563452854	1.497254007
35	-40	2.08891199535725	1.487395463	-0.4832537126	1.410146863
40	-40	2.03900908672874	1.602525251	-0.4025252514	1.313938429
45	-40	1.98750990773250	1.708645325	-0.3141738463	1.208645325

-45	-35	2.63262849600139	-1.168263176	-0.4681304513	1.668263176
-40	-35	2.60844046924244	-0.9775380083	-0.5329683067	1.760861230
-35	-35	2.58063712891630	-0.7839774543	-0.5839774543	1.833709842
-30	-35	2.54994547579216	-0.5901910834	-0.6221783299	1.888266346
-25	-35	2.51694325256518	-0.3981232350	-0.6486217702	1.926031493
-20	-35	2.48207357327263	-0.2091738488	-0.6643117709	1.948439136
-15	-35	2.44566512863044	-0.02432043424	-0.6701594588	1.956790500
-10	-35	2.40795176066899	0.1557710081	-0.6669588965	1.952219623
-5	-35	2.36909072427354	0.3306498597	-0.6553784003	1.935680961
0	-35	2.32918005714489	0.5000000000	-0.6359627968	1.907952605
5	-35	2.28827419651566	0.6635731178	-0.6091425280	1.869649292
10	-35	2.24639654079207	0.8211338488	-0.5752463678	1.821240558
15	-35	2.20354938051411	0.9724138045	-0.5345165294	1.763072321
20	-35	2.15972543138978	1.117073085	-0.4871279158	1.695394367
25	-35	2.11492436511743	1.254670456	-0.4332130902	1.618396016
30	-35	2.06916182427909	1.384639218	-0.3728860484	1.532240071
35	-35	2.02247751940315	1.506269153	-0.3062691525	1.437101284
40	-35	1.97496061982128	1.618706528	-0.2335324613	1.333222524
45	-35	1.92675915824802	1.720962759	-0.1549273278	1.220962759

-45	-30	2.58456107165227	-1.191992393	-0.2768722634	1.691992393
-40	-30	2.55794947652742	-1.003713322	-0.3346438721	1.792055754
-35	-30	2.52782792076872	-0.8107101035	-0.3807350533	1.871888022
-30	-30	2.49488953035614	-0.6157485172	-0.4157485172	1.932533120
-25	-30	2.45970964517756	-0.4210470869	-0.4403775474	1.975191852
-20	-30	2.42275000065183	-0.2283430432	-0.4553391252	2.001106065
-15	-30	2.38437261494906	-0.03897461213	-0.4613288869	2.011480636
-10	-30	2.34485455362034	0.1460353269	-0.4589922226	2.007433415
-5	-30	2.30440351075412	0.3259003374	-0.4489087048	1.989968250
0	-30	2.26317285887246	0.5000000000	-0.4315864294	1.959965189
5	-30	2.22127555577812	0.6678192743	-0.4074635192	1.918183083
10	-30	2.17879590288648	0.8288974910	-0.3769143451	1.865270361
15	-30	2.13579870598989	0.9827858162	-0.3402588582	1.801781195
20	-30	2.09234138789723	1.129013432	-0.2977768520	1.728200202
25	-30	2.04848744103909	1.267063460	-0.2497255452	1.644972898
30	-30	2.00431513578798	1.396356978	-0.1963569784	1.552535828
35	-30	1.95992210033746	1.516243898	-0.1379354062	1.451346697
40	-30	1.91544181729497	1.626009487	-0.07476125187	1.341925852
45	-30	1.87104964036993	1.724889515	-0.007190291297	1.224889515

-45	-25	2.53616756287938	-1.203145407	-0.09418974619	1.703145407
-40	-25	2.50676987873870	-1.017414737	-0.1432635245	1.808384464
-35	-25	2.47405985283958	-0.8256441022	-0.1828211111	1.893215982
-30	-25	2.43870566739219	-0.6306396238	-0.2131820721	1.958325273
-25	-25	2.40128189324017	-0.4347749070	-0.2347749070	2.004631257
-20	-25	2.36226781683928	-0.2400165658	-0.2480868470	2.033178805
-15	-25	2.32205615563662	-0.04797198036	-0.2536267998	2.045059272
-10	-25	2.28096384726630	0.1400543082	-0.2518987505	2.041353458
-5	-25	2.23924366208180	0.3230021951	-0.2433843035	2.023094168
0	-25	2.19709693722431	0.5000000000	-0.2285332885	1.991246063
5	-25	2.15468611640418	0.6703140749	-0.2077605513	1.946698784
10	-25	2.11214442025203	0.8333052759	-0.1814465152	1.890268152
15	-25	2.06958361982592	0.9883920795	-0.1499408593	1.822704055
20	-25	2.02710430442936	1.135021463	-0.1135702966	1.744707131
25	-25	1.98480899097537	1.272649661	-0.07264966066	1.656952544
30	-25	1.94280730251331	1.400729820	-0.02749115320	1.560109813
35	-25	1.90121953448966	1.518706342	0.02158604009	1.454863432
40	-25	1.86018695762537	1.626020831	0.07424339451	1.341939371
45	-25	1.81987307704486	1.722122906	0.1301147297	1.222122906

-45	-20	2.48769390649333	-1.203550594	0.07995829126	1.703550594
-40	-20	2.45525722665009	-1.020224297	0.04058320023	1.811732767
-35	-20	2.41978228926318	-0.8300723620	0.008623911119	1.899540193
-30	-20	2.38192209387538	-0.6358694820	-0.01606908930	1.967383654
-25	-20	2.34225397314175	-0.4400543699	-0.03374692281	2.015953102
-20	-20	2.30127460471570	-0.2447283093	-0.04472830931	2.046124213
-15	-20	2.25940443205944	-0.05167626107	-0.04937243199	2.058883836
-10	-20	2.21699441973351	0.1376002024	-0.04805760699	2.055271384
-5	-20	2.17433450702811	0.3218436851	-0.04116569014	2.036335998
0	-20	2.13166378615684	0.5000000000	-0.02907195366	2.003108730
5	-20	2.08918118023838	0.6711791903	-0.01213946441	1.956587098
10	-20	2.04705338795933	0.8346204785	0.009283846120	1.897727036
15	-20	2.00542130999491	0.9896614853	0.03486567393	1.827441542
20	-20	1.96440791143573	1.135713000	0.06428700005	1.746607113
25	-20	1.92413059355008	1.272242205	0.09723662836	1.656078753
30	-20	1.88470404888160	1.398760634	0.1334078703	1.556699082
35	-20	1.84624317889212	1.514817340	0.1724945323	1.449309361
40	-20	1.80887174820522	1.620001095	0.2141851508	1.334765328
45	-20	1.77272013607206	1.713942934	0.2581609058	1.213942934

-45	-15	2.43924973701059	-1.194660438	0.2459171041	1.694660438
-40	-15	2.40362649952243	-1.013467498	0.2167053127	1.803680328
-35	-15	2.36530730643131	-0.8251397916	0.1929072916	1.892495752
-30	-15	2.32493785640148	-0.6323806841	0.1744602955	1.961340878
-25	-15	2.28310119061454	-0.4376286946	0.1612208332	2.010751225
-20	-15	2.24030963668866	-0.2430392970	0.1529860938	2.041483690
-15	-15	2.19700536012829	-0.05048783022	0.1495121698	2.054448551
-10	-15	2.15356456824128	0.1384145322	0.1505291606	2.050653090
-5	-15	2.11030331520875	0.3222968240	0.1557532304	2.031156596
0	-15	2.06748543532483	0.5000000000	0.1648953939	1.997037577
5	-15	2.02533125286561	0.6705478987	0.1776675070	1.949371402
10	-15	1.98402383259867	0.8331194227	0.1937866007	1.889214126
15	-15	1.94371504543929	0.9870226980	0.2129773020	1.817593453
20	-15	1.90453204271615	1.131672572	0.2349725346	1.735506128
25	-15	1.86658744728681	1.266573974	0.2595121085	1.643923191
30	-15	1.82998211869311	1.391308298	0.2863423794	1.543791257
35	-15	1.79480805752919	1.505523286	0.3152152929	1.436036077
40	-15	1.76115557276138	1.608929245	0.3458862756	1.321570411
45	-15	1.72911257016278	1.701295063	0.3781139580	1.201295063

-45	-10	2.39084732673504	-1.177595032	0.4041947331	1.677595032
-40	-10	2.35198837807455	-0.9982231753	0.3851659099	1.785512852
-35	-10	2.31084040670045	-0.8118302053	0.3696535717	1.873487693
-30	-10	2.26804797422733	-0.6210290030	0.3576295709	1.941679190
-25	-10	2.22419903657757	-0.4282094875	0.3490120342	1.990551670
-20	-10	2.17981590852638	-0.2355128446	0.3436775677	2.020804932
-15	-10	2.13535293763805	-0.04482423626	0.3414722817	2.033311731
-10	-10	2.09119919829083	0.1422211839	0.3422211839	2.029064495
-5	-10	2.04768264864113	0.3242238852	0.3457361404	2.009130186
0	-10	2.00507655893134	0.5000000000	0.3518221095	1.974614941
5	-10	1.96360632625443	0.6685588787	0.3602819503	1.926636799
10	-10	1.92345511974195	0.8290798390	0.3709201610	1.866304508
15	-10	1.88476930430842	0.9808891208	0.3835455037	1.794702632
20	-10	1.84766524281068	1.123438664	0.3979723972	1.712883653
25	-10	1.81223764673968	1.256288511	0.4140212747	1.621865946
30	-10	1.77856248501121	1.379090809	0.4315192588	1.522629946
35	-10	1.74670062677113	1.491576327	0.4503002321	1.416117754
40	-10	1.71670406579856	1.593545291	0.4702042376	1.303236530
45	-10	1.68861797048821	1.684859061	0.4910773792	1.184859061

-45	-5	2.34242977221338	-1.153187513	0.5553648339	1.653187513
-40	-5	2.30037642159941	-0.9753437672	0.5461733868	1.758246235
-35	-5	2.25650756577026	-0.7909685490	0.5386976620	1.843694160
-30	-5	2.21146734035287	-0.6025734277	0.5329217448	1.909713196
-25	-5	2.16584251475494	-0.4124606969	0.5288040835	1.956778279
-20	-5	2.12015480797457	-0.2226974490	0.5262829540	1.985594922
-15	-5	2.07485755929255	-0.03510531678	0.5252816193	1.997040230
-10	-5	2.03033689710307	0.1487370805	0.5257128702	1.992111009
-5	-5	1.98691573826088	0.3274828742	0.5274828742	1.971879772
0	-5	1.94485961621807	0.5000000000	0.5304943156	1.937458838
5	-5	1.90438298826650	0.6653510883	0.5346489117	1.889971587
10	-5	1.86565489259573	0.8227717456	0.5398494177	1.830529533
15	-5	1.82880401646345	0.9716481612	0.5460011508	1.760214901
20	-5	1.79392471572583	1.111495354	0.5530129492	1.680069678
25	-5	1.76108658544719	1.241938660	0.5607974357	1.591092591
30	-5	1.73033687534708	1.362695743	0.5692715643	1.494232858
35	-5	1.70170499221135	1.473560939	0.5783567146	1.390389114
40	-5	1.67520799256886	1.574392716	0.5879785197	1.280411379
45	-5	1.65085469568303	1.665103177	0.5980666802	1.165103177

-45	0	2.29389380063500	-1.122027862	0.7000000000	1.622027862
-40	0	2.24877354751539	-0.9454837733	0.7000000000	1.722660480
-35	0	2.20238049328235	-0.7632335548	0.7000000000	1.804084483
-30	0	2.15535299430259	-0.5776764972	0.7000000000	1.866590447
-25	0	2.10826470016550	-0.3909911629	0.7000000000	1.910736715
-20	0	2.06162151090424	-0.2051160846	0.7000000000	1.937290521
-15	0	2.01585827031107	-0.02174251258	0.7000000000	1.947169565
-10	0	1.97133947917563	0.1576804919	0.7000000000	1.941390403
-5	0	1.92836424424162	0.3319319820	0.7000000000	1.921026236
0	0	1.88717306303822	0.5000000000	0.7000000000	1.887173063
5	0	1.84795488486164	0.6610598806	0.7000000000	1.840922859
10	0	1.81085301819069	0.8144513266	0.7000000000	1.783342092
15	0	1.77596934726970	0.9596546906	0.7000000000	1.715454659
20	0	1.74337131761861	1.096268108	0.7000000000	1.638233162
25	0	1.71310256736812	1.223988429	0.7000000000	1.552598197
30	0	1.68518303844296	1.342591519	0.7000000000	1.459411321
35	0	1.65961630686502	1.451916807	0.7000000000	1.359478091
40	0	1.63639337982365	1.551853389	0.7000000000	1.253550055
45	0	1.61549679861667	1.642328741	0.7000000000	1.142328741

-45	5	2.24510894671032	-1.084502605	0.8386260153	1.584502605
-40	5	2.19713253321726	-0.9091284184	0.8469226746	1.679333855
-35	5	2.14849731074335	-0.7291748975	0.8535814214	1.755443680
-30	5	2.09982236136546	-0.5469104817	0.8586433813	1.813302145
-25	5	2.05165293730790	-0.3643530895	0.8621699650	1.853611182
-20	5	2.00445825227291	-0.1832599488	0.8642373308	1.877241281
-15	5	1.95863316467875	-0.005131070492	0.8649314255	1.885174820
-10	5	1.91450064187483	0.1687775877	0.8643435739	1.878455645
-5	5	1.87231691484926	0.3374330996	0.8625669004	1.858148174
0	5	1.83228128622137	0.5000000000	0.8596938364	1.825308903
5	5	1.79454481628508	0.6558142139	0.8558142139	1.780964615
10	5	1.75921609614014	0.8043570665	0.8510137182	1.726094698
15	5	1.72636435488680	0.9452289946	0.8453726706	1.661617229
20	5	1.69603122327373	1.078126387	0.8389660477	1.588389193
25	5	1.66823726450563	1.202821616	0.8318634229	1.507205820
30	5	1.64298139991107	1.319142838	0.8241286546	1.418797014
35	5	1.62025127426899	1.426960524	0.8158207146	1.323836825
40	5	1.60002379388779	1.526173416	0.8069938985	1.222945856
45	5	1.58226868015534	1.616698078	0.7976984224	1.116698078

-45	10	2.19592560835160	-1.040823561	0.9716887663	1.540823561
-40	10	2.14538781274559	-0.8666180373	0.9871788085	1.628671956
-35	10	2.09487563233728	-0.6892301705	0.9994731617	1.698396697
-30	10	2.04496919024750	-0.5107677609	1.008695842	1.750701117
-25	10	1.99616264895745	-0.3330446506	1.015002864	1.786470018
-20	10	1.94886583735496	-0.1575857393	1.018570303	1.806701970
-15	10	1.90341007295162	0.01435478370	1.019584298	1.812452622
-10	10	1.86005563298842	0.1817670441	1.018232956	1.804788777
-5	10	1.81899903939887	0.3438544253	1.014699947	1.784752086
0	10	1.78038436901445	0.5000000000	1.009160501	1.753336330
5	10	1.74431446491890	0.6497345401	1.001778977	1.711473625
10	10	1.71085699403796	0.7927068786	0.9927068786	1.660023199
15	10	1.68004873789975	0.9286557292	0.9820817253	1.599764960
20	10	1.65190835880388	1.057386434	0.9700283093	1.531406641
25	10	1.62643831004251	1.178750168	0.9566588082	1.455584433
30	10	1.60362715455636	1.292625452	0.9420735907	1.372867554
35	10	1.58345830761178	1.398906056	0.9263634454	1.283770893
40	10	1.56590807679224	1.497487825	0.9096104085	1.188759699
45	10	1.55094916394241	1.588260460	0.8918896812	1.088260460

-45	15	2.14618367411784	-0.9910537904	1.099526659	1.491053790
-40	15	2.09346669087072	-0.8181722683	1.120931176	1.570936536
-35	15	2.04152474162022	-0.6437438439	1.137677721	1.633435491
-30	15	1.99087373750028	-0.4696719242	1.150026306	1.679521039
-25	15	1.94192900986317	-0.2975154015	1.158267421	1.710277298
-20	15	1.89501455777781	-0.1285159256	1.162703592	1.726833313
-15	15	1.85037527906872	0.03636477591	1.163635224	1.730310212
-10	15	1.80818947936816	0.1964033266	1.161350175	1.721782294
-5	15	1.76857940808328	0.3510725091	1.156116248	1.702249010
0	15	1.73162306409690	0.5000000000	1.148177028	1.672619439
5	15	1.69736904382162	0.6429310506	1.137751110	1.633709384
10	15	1.66584239401358	0.7796964671	1.125031054	1.586237489
15	15	1.63704949331049	0.9101837164	1.110183716	1.530826470
20	15	1.61098962082748	1.034313907	1.093353540	1.468015395
25	15	1.58765458938021	1.152021254	1.074663734	1.398264090
30	15	1.56703385248641	1.263237117	1.054219579	1.321965464
35	15	1.54911853670260	1.367878186	1.032111905	1.239458502
40	15	1.53389904747081	1.465834898	1.008419491	1.151037209
45	15	1.52136776528759	1.556965068	0.9832129364	1.056965068

-45	20	2.09572748353752	-0.9351354843	1.222346598	1.435135484
-40	20	2.04130764904645	-0.7639186851	1.248240951	1.506279634
-35	20	1.98846486680775	-0.5929917843	1.268140807	1.560954038
-30	20	1.93761918437572	-0.4239943258	1.282499826	1.600405118
-25	20	1.88907753954730	-0.2581738004	1.291782466	1.625908962
-20	20	1.84305220503669	-0.09644040299	1.296440403	1.638706539
-15	20	1.79968050650046	0.06057401726	1.296896660	1.639960094
-10	20	1.75904298919509	0.2124589861	1.293535770	1.630726125
-5	20	1.72117727278160	0.3589735851	1.286697924	1.611939298
0	20	1.68608971458786	0.5000000000	1.276676646	1.584406063
5	20	1.65377233156649	0.6355035223	1.263721593	1.548812347
10	20	1.62420800826820	0.7655002864	1.248039790	1.505726948
15	20	1.59737550196001	0.8900293953	1.229798538	1.455609520
20	20	1.57325977796161	1.009131371	1.209131371	1.398826945
25	20	1.55184952645433	1.122828671	1.186140627	1.335660395
30	20	1.53314538694149	1.231112517	1.160904252	1.266324025
35	20	1.51715620327096	1.333929376	1.133479296	1.190974576
40	20	1.50390097081075	1.431172006	1.103907808	1.109727583
45	20	1.49340774646620	1.522672302	1.072222277	1.022672302

-45	25	2.04441348178652	-0.8729114284	1.340199113	1.372911428
-40	25	1.98886636264489	-0.7039139108	1.369043646	1.434768728
-35	25	1.93573518050689	-0.5372004229	1.390730210	1.481275716
-30	25	1.88530291820678	-0.3740694749	1.405958431	1.513932740
-25	25	1.83773734178033	-0.2153973707	1.415397371	1.534174612
-20	25	1.79311728789625	-0.06172144751	1.419660533	1.543316993
-15	25	1.75145631617783	0.08668140572	1.419291684	1.542525994
-10	25	1.71272715677492	0.2297244487	1.414760491	1.532808820
-5	25	1.67687788455261	0.3674535917	1.406461875	1.515012379
0	25	1.64384232910707	0.5000000000	1.394717788	1.489827104
5	25	1.61355682777488	0.6275412861	1.379784969	1.457803571
10	25	1.58596487970395	0.7502719307	1.361859674	1.419362650
15	25	1.56102176141932	0.8683787681	1.341083629	1.374808279
20	25	1.53870277968104	0.9820222071	1.317552276	1.324345130
25	25	1.51900104205227	1.091319187	1.291319187	1.268088090
30	25	1.50193341289608	1.196330620	1.262404346	1.206080012
35	25	1.48753612363324	1.297047609	1.230798918	1.138301953
40	25	1.47586917064045	1.393383014	1.196474227	1.064692416
45	25	1.46700891779331	1.485159473	1.159387407	0.9851594732

-45	30	1.99212796768317	-0.8041538866	1.452953597	1.304153887
-40	30	1.93613313120366	-0.6381730601	1.483130511	1.356421833
-35	30	1.88340179491319	-0.4765671711	1.505220293	1.394682459
-30	30	1.83403880651303	-0.3202070889	1.520207089	1.420640351
-25	30	1.78804231879974	-0.1695388507	1.528977241	1.435830699
-20	30	1.74533933889619	-0.02469539374	1.532301651	1.441588746
-15	30	1.70581217639234	0.1144103273	1.530830275	1.439040249
-10	30	1.66932275927959	0.2480094090	1.525096845	1.429109657
-5	30	1.63573109284098	0.3764191123	1.515528046	1.412536010
0	30	1.60490284320725	0.5000000000	1.502451422	1.389886633
5	30	1.57672365094828	0.6191228248	1.486108648	1.361580118
10	30	1.55110238534639	0.7341447779	1.466664013	1.327901022
15	30	1.52797534882292	0.8453906138	1.444213341	1.289015319
20	30	1.50731087136041	0.9531377100	1.418792786	1.244985626
25	30	1.48910937563449	1.057602339	1.390385103	1.195782076
30	30	1.47340626241968	1.158927312	1.358927312	1.141295583
35	30	1.46027306509045	1.257169681	1.324317928	1.081350371
40	30	1.44981560137544	1.352286980	1.286423947	1.015716071
45	30	1.44217106054285	1.444122579	1.245089425	0.9441225786

-45	35	1.93880159156942	-0.7285938958	1.560270707	1.228593896
-40	35	1.88315016419950	-0.5667009563	1.590135120	1.271244697
-35	35	1.83157687437045	-0.4112879088	1.611287909	1.301454010
-30	35	1.78397136224302	-0.2627102974	1.625011260	1.321052987
-25	35	1.74013958434881	-0.1209356494	1.632396916	1.331600797
-20	35	1.69984638834366	0.01432277487	1.634347983	1.334387209
-15	35	1.66284419146381	0.1435067179	1.631591848	1.330451041
-10	35	1.62889012693062	0.2671418442	1.624697034	1.320604226
-5	35	1.59776419749697	0.3857867332	1.614095463	1.305463613
0	35	1.56927294742111	0.5000000000	1.600097985	1.285473143
5	35	1.54325886010098	0.6103170519	1.582912462	1.260929673
10	35	1.51960183687344	0.7172348371	1.562655674	1.231999982
15	35	1.49822255495097	0.8212004339	1.539364221	1.198736339
20	35	1.47908352558293	0.9226012347	1.513002115	1.161087350
25	35	1.46219364845113	1.021755939	1.483468672	1.118909222
30	35	1.44760778319497	1.118903076	1.450602575	1.071971572
35	35	1.43543066220289	1.214188208	1.414188208	1.019966466
40	35	1.42581533038885	1.307645936	1.373960220	0.9625149454
45	35	1.41896614707123	1.399180790	1.329613167	0.8991807900

-45	40	1.88443097124016	-0.6459609205	1.661575386	1.145960921
-40	40	1.83002399957473	-0.4895236286	1.689523629	1.179268339
-35	40	1.78042618555654	-0.3415791294	1.708513474	1.201899556
-30	40	1.73527982424567	-0.2018890142	1.720099659	1.215707434
-25	40	1.69419148800253	-0.06991664748	1.725539342	1.222190195
-20	40	1.65676664871454	0.05503653564	1.725822014	1.222527071
-15	40	1.62263752395664	0.1737379560	1.721709968	1.217626525
-10	40	1.59147213592347	0.2869676200	1.713772202	1.208166664
-5	40	1.56298424701715	0.3954829431	1.702418146	1.194635427
0	40	1.53693391493853	0.5000000000	1.687922077	1.177359685
5	40	1.51313080266988	0.6011833475	1.670444697	1.156530954
10	40	1.49143241056634	0.6996411931	1.650046617	1.132221469
15	40	1.47174700868937	0.7959226446	1.626700244	1.104398345
20	40	1.45403210104548	0.8905143561	1.600294643	1.072929375
25	40	1.43830049193321	0.9838363315	1.570641689	1.037590361
30	40	1.42462093171206	1.076233163	1.537476070	0.9980651149
35	40	1.41312459415409	1.167961511	1.500457332	0.9539479010
40	40	1.40400939843393	1.259170631	1.459170631	0.9047443269
45	40	1.39754487323774	1.349875551	1.413130261	0.8498755507

-45	45	1.82911161330686	-0.5560380823	1.756038082	1.056038082
-40	45	1.77694586522106	-0.4067285732	1.780597035	1.080597035
-35	45	1.73017549333061	-0.2677006775	1.796390192	1.096390192
-30	45	1.68818202874067	-0.1380728308	1.805174562	1.105174562
-25	45	1.65037755505410	-0.01680849118	1.808299386	1.108299386
-20	45	1.61622867827968	0.09716539532	1.806778980	1.106778980
-15	45	1.58526827465854	0.2048915500	1.801359729	1.101359729
-10	45	1.55709764974492	0.3073496033	1.792574692	1.092574692
-5	45	1.53138359638227	0.4054435171	1.780785546	1.080785546
0	45	1.50785534078843	0.5000000000	1.766214737	1.066214737
5	45	1.48630067097452	0.5917728023	1.748967930	1.048967930
10	45	1.46656194205269	0.6814489540	1.729048154	1.029048154
15	45	1.44853722893975	0.7696550377	1.706366301	1.006366301
20	45	1.43217783444205	0.8569611154	1.680742604	0.9807426042
25	45	1.41749491943514	0.9438823155	1.651908697	0.9519086975
30	45	1.40456265326869	1.030874783	1.619502097	0.9195020967
35	45	1.39352668460428	1.118325357	1.583060126	0.8830601263
40	45	1.38461552717400	1.206532757	1.542012952	0.8420129516
45	45	1.37815158236250	1.295676187	1.495676187	0.7956761871


### +x patch
# N_rho = 10
# N_sigma = 19
# ghosted_gfn=-3
# dpx = drho = dnu
# dpy = dsigma = dphi
#
# dpx	dpy	gridfn	global_x	global_y	global_z
45	-45	2.05375974602695	1.685738742	-0.4857387422	1.185738742
45	-40	1.98751010587808	1.708645445	-0.3141739474	1.208645445
45	-35	1.92675933213167	1.720962869	-0.1549274049	1.220962869
45	-30	1.87104970803708	1.724889559	-0.007190316872	1.224889559
45	-25	1.81987313173160	1.722122943	0.1301147126	1.222122943
45	-20	1.77272019949756	1.713942978	0.2581608900	1.213942978
45	-15	1.72911259832737	1.701295082	0.3781139528	1.201295082
45	-10	1.68861799561225	1.684859079	0.4910773761	1.184859079
45	-5	1.65085470889057	1.665103186	0.5980666794	1.165103186
45	0	1.61549680738804	1.642328747	0.7000000000	1.142328747
45	5	1.58226868785685	1.616698083	0.7976984229	1.116698083
45	10	1.55094917067551	1.588260465	0.8918896820	1.088260465
45	15	1.52136778112803	1.556965079	0.9832129393	1.056965079
45	20	1.49340775631749	1.522672308	1.072222280	1.022672308
45	25	1.46700894202979	1.485159489	1.159387414	0.9851594895
45	30	1.44217108434789	1.444122594	1.245089434	0.9441225942
45	35	1.41896620518666	1.399180827	1.329613193	0.8991808268
45	40	1.39754491097993	1.349875574	1.413130280	0.8498755737
45	45	1.37815155578587	1.295676172	1.495676172	0.7956761717

50	-45	2.06668490282430	1.756793255	-0.5567932548	1.054574757
50	-40	1.99719455281354	1.786993124	-0.3799154554	1.079915455
50	-35	1.93273004865690	1.804714234	-0.2135707422	1.094785233
50	-30	1.87307635223412	1.812245330	-0.05762519456	1.101104572
50	-25	1.81791519868465	1.811444513	0.08846338045	1.100432607
50	-20	1.76688128776939	1.803780594	0.2254626718	1.094001815
50	-15	1.71960332388774	1.790389621	0.3542411431	1.082765455
50	-10	1.67572471434163	1.772127040	0.4756896800	1.067441330
50	-5	1.63491937955815	1.749617591	0.5906726270	1.048553660
50	0	1.59690224048530	1.723298088	0.7000000000	1.026468974
50	5	1.56142944240742	1.693447043	0.8044130868	1.001420974
50	10	1.52830627388062	1.660214276	0.9045770803	0.9735353711
50	15	1.49738589543937	1.623637755	1.001077829	0.9428440256
50	20	1.46857483014017	1.583660446	1.094420146	0.9092990805
50	25	1.44183415424300	1.540139546	1.185025036	0.8727807096
50	30	1.41718344895460	1.492854541	1.273224837	0.8331038795
50	35	1.39470877918064	1.441516069	1.359256649	0.7900257859
50	40	1.37456411955879	1.385769775	1.443249092	0.7432490916
50	45	1.35698367294761	1.325209457	1.525209457	0.6924329512

55	-45	2.07781063382597	1.816682157	-0.6166821569	0.9219507717
55	-40	2.00576458909875	1.854017139	-0.4361552817	0.9480930074
55	-35	1.93822532710888	1.877234644	-0.2643500799	0.9643500799
55	-30	1.87519313629011	1.888603845	-0.1017108037	0.9723108799
55	-25	1.81653542002009	1.890060910	0.05180395254	0.9733311275
55	-20	1.76204010885450	1.883209565	0.1965528906	0.9685337643
55	-15	1.71145693408136	1.869346372	0.3330847456	0.9588266518
55	-10	1.66451978632837	1.849490568	0.4620484026	0.9449234688
55	-5	1.62097270622859	1.824426276	0.5841277152	0.9273732622
55	0	1.58058253387681	1.794737414	0.7000000000	0.9065848971
55	5	1.54314499822956	1.760836642	0.8103089127	0.8828473210
55	10	1.50849577221448	1.722995866	0.9156471684	0.8563509244
55	15	1.47650976965591	1.681363817	1.016545481	0.8271998497
55	20	1.44710990716243	1.635987913	1.113465787	0.7954272997
55	25	1.42026608360441	1.586825141	1.206794886	0.7610031565
55	30	1.39600196067073	1.533756818	1.296839777	0.7238443168
55	35	1.37439692625460	1.476598043	1.383821312	0.6838213117
55	40	1.35558608052938	1.415105789	1.467864930	0.6407639714
55	45	1.33976750225743	1.348993617	1.548993617	0.5944717302

60	-45	2.08720403238801	1.866395781	-0.6663957813	0.7888889722
60	-40	2.01317424022548	1.910395520	-0.4834623605	0.8142922330
60	-35	1.94313338821446	1.938914447	-0.3075387425	0.8307576432
60	-30	1.87726296992234	1.954121644	-0.1395375225	0.8395375225
60	-25	1.81560056474026	1.957960475	0.02014186539	0.8417538725
60	-20	1.75808449435886	1.952115795	0.1714730738	0.8383794454
60	-15	1.70458791967429	1.938007454	0.3146870640	0.8302339907
60	-10	1.65494456880324	1.916800467	0.4501798513	0.8179901312
60	-5	1.60897703939273	1.889432540	0.5784404040	0.8021892510
60	0	1.56651054272531	1.856637925	0.7000000000	0.7832552714
60	5	1.52738409510624	1.818972932	0.8153951790	0.7615093773
60	10	1.49146423708442	1.776844716	0.9251421736	0.7371866406
60	15	1.45864494340076	1.730527494	1.029718848	0.7104453800
60	20	1.42885877421178	1.680186960	1.129552924	0.6813812592
60	25	1.40207502519880	1.625891900	1.225012015	0.6500339915
60	30	1.37830772935307	1.567632576	1.316397955	0.6163979553
60	35	1.35761391305164	1.505329991	1.403939638	0.5804275412
60	40	1.34009379596375	1.438846846	1.487786042	0.5420434793
60	45	1.32589510862885	1.368002100	1.568002100	0.5011412460

65	-45	2.09495194423086	1.906850176	-0.7068501757	0.6560250108
65	-40	2.01941011348693	1.956802998	-0.5224028587	0.6793183946
65	-35	1.94737706769837	1.990184396	-0.3434383476	0.6948843960
65	-30	1.87917880805831	2.009014967	-0.1712301976	0.7036652355
65	-25	1.81500018946306	2.015193248	-0.006546215207	0.7065462152
65	-20	1.75491705636490	2.010438460	0.1502453600	0.7043290210
65	-15	1.69892072581765	1.996257347	0.2990790523	0.6977162594
65	-10	1.64694565802362	1.973937528	0.4401050460	0.6873083569
65	-5	1.59889540930510	1.944557389	0.5736176047	0.6736081730
65	0	1.55465629367102	1.908997105	0.7000000000	0.6570261404
65	5	1.51411153013800	1.867957520	0.8196807751	0.6378890674
65	10	1.47715664269008	1.821984487	0.9331015331	0.6164514901
65	15	1.44370075442755	1.771482434	1.040692691	0.5929019964
65	20	1.41367985150740	1.716739224	1.142856860	0.5673748182
65	25	1.38705427310389	1.657936667	1.239954735	0.5399547353
65	30	1.36381887295576	1.595171510	1.332297566	0.5106868619
65	35	1.34399946806409	1.528463911	1.420138183	0.4795805980
65	40	1.32765503071582	1.457770696	1.503665038	0.4466158102
65	45	1.31487832442874	1.382997248	1.582997248	0.4117483789

70	-45	2.10114672075006	1.938846530	-0.7388465296	0.5236973084
70	-40	2.02447839091069	1.993861335	-0.5534984950	0.5437210600
70	-35	1.95090175560799	2.031466824	-0.3723446144	0.5574083386
70	-30	1.88085309310923	2.053518329	-0.1969242252	0.5654344300
70	-25	1.81463822816212	2.061839838	-0.02829787710	0.5684632116
70	-20	1.75244997160007	2.058149693	0.1328798911	0.5671201089
70	-15	1.69438636535617	2.044010736	0.2862835703	0.5619739491
70	-10	1.64047524172221	2.020807536	0.4318405990	0.5535286750
70	-5	1.59069714527552	1.989740354	0.5696646074	0.5422211457
70	0	1.54499673284334	1.951822029	0.7000000000	0.5284200040
70	5	1.50329882063291	1.907888940	0.8231743217	0.5124296672
70	10	1.46552476263817	1.858619165	0.9395612152	0.4944969357
70	15	1.43159481983861	1.804541760	1.049550911	0.4748143699
70	20	1.40144423985593	1.746061199	1.153529186	0.4535291865
70	25	1.37502005700135	1.683465150	1.251858863	0.4307460878
70	30	1.35229323259883	1.616946523	1.344869376	0.4065352876
70	35	1.33325502050372	1.546611304	1.432845125	0.3809353617
70	40	1.31792186171631	1.472493715	1.516019118	0.3539587653
70	45	1.30633420506746	1.394566010	1.594566010	0.3255954001

75	-45	2.10586960254546	1.963045727	-0.7630457266	0.3920219209
75	-40	2.02839197739293	2.022104498	-0.5771973233	0.4078466712
75	-35	1.95366888601600	2.063141524	-0.3945234784	0.4188425090
75	-30	1.88221693754460	2.087857074	-0.2167497091	0.4254650206
75	-25	1.81443438489125	2.097991441	-0.04515564655	0.4281805161
75	-20	1.75060723910638	2.095242045	0.1193793791	0.4274438178
75	-15	1.69092262167558	2.081203939	0.2763176813	0.4236823187
75	-10	1.63548826754157	2.057333882	0.4254000186	0.4172863561
75	-5	1.58435138152134	2.024930438	0.5665858740	0.4086038794
75	0	1.53750747579935	1.985118179	0.7000000000	0.3979362167
75	5	1.49491776042230	1.938851016	0.8258831524	0.3855389678
75	10	1.45652492993795	1.886922590	0.9445518727	0.3716247879
75	15	1.42225693572221	1.829971130	1.056364690	0.3563646902
75	20	1.39204494537303	1.768501910	1.161696937	0.3398940623
75	25	1.36582155372534	1.702893403	1.260918406	0.3223143160
75	30	1.34353370077409	1.633418496	1.354379474	0.3036985707
75	35	1.32514019794432	1.560252166	1.442396559	0.2840937117
75	40	1.31061982407765	1.483488572	1.525244898	0.2635249687
75	45	1.29996864327048	1.403148783	1.603148783	0.2419979870

80	-45	2.10919140423383	1.979964439	-0.7799644386	0.2609576610
80	-40	2.03117144769260	2.041964560	-0.5938618933	0.2718899552
80	-35	1.95565889649576	2.085528305	-0.4101988714	0.2795714189
80	-30	1.88322490064423	2.112231594	-0.2308223445	0.2842799291
80	-25	1.81433195344350	2.123740250	-0.05716251332	0.2863092157
80	-20	1.74933394191327	2.121725323	0.1097402543	0.2859539297
80	-15	1.68848466738961	2.107797765	0.2691918871	0.2834981256
80	-10	1.63195283491038	2.083463478	0.4207926659	0.2792073341
80	-5	1.57983709250552	2.050092928	0.5643844414	0.2733232057
80	0	1.53217224233365	2.008895103	0.7000000000	0.2660589178
80	5	1.48894742081455	1.960914469	0.8278134544	0.2575986373
80	10	1.45012185005281	1.907035141	0.9480982582	0.2480982582
80	15	1.41562845822973	1.847980420	1.061190265	0.2376853176
80	20	1.38539359524753	1.784333324	1.167459101	0.2264626172
80	25	1.35933698661098	1.716541534	1.267282634	0.2145090956
80	30	1.33738541791424	1.644937614	1.361030039	0.2018833925
80	35	1.31947168268147	1.569746726	1.449044721	0.1886252103
80	40	1.30554481545499	1.491104832	1.531635699	0.1747585226
80	45	1.29556733211814	1.409065709	1.609065709	0.1602928117

85	-45	2.11116318449773	1.989969371	-0.7899693711	0.1303554290
85	-40	2.03283145729428	2.053753648	-0.6037541127	0.1359358301
85	-35	1.95685690327994	2.098862640	-0.4195356733	0.1398823556
85	-30	1.88384182269997	2.126792095	-0.2392288540	0.1423258662
85	-25	1.81428655207778	2.139157276	-0.06435159082	0.1434076794
85	-20	1.74858612877181	2.137608596	0.1039592157	0.1432721874
85	-15	1.68703552078741	2.123763419	0.2649139033	0.1420608914
85	-10	1.62984157247052	2.099155955	0.4180256587	0.1399080173
85	-5	1.57713538684960	2.065200429	0.5630627063	0.1369372937
85	0	1.52897664691399	2.023158429	0.7000000000	0.1332590953
85	5	1.48537198326378	1.974131444	0.8289697899	0.1289697899
85	10	1.44629085289459	1.919061011	0.9502187436	0.1241517514
85	15	1.41166893446193	1.858724429	1.064069114	0.1188729844
85	20	1.38142889380221	1.793753733	1.170887849	0.1131887850
85	25	1.35548163201289	1.724639833	1.271058933	0.1071421023
85	30	1.33374059249167	1.651752035	1.364964347	0.1007652462
85	35	1.31612165126576	1.575345742	1.452965195	0.09408056178
85	40	1.30255523502434	1.495581774	1.535392299	0.08710211880
85	45	1.29298319978867	1.412532664	1.612532664	0.07983626320

90	-45	2.11181568739794	1.993279193	-0.7932791932	0.000000000
90	-40	2.03338221530830	2.057661147	-0.6070328938	0.000000000
90	-35	1.95725561819053	2.103289941	-0.4226357025	0.000000000
90	-30	1.88404821242210	2.131633614	-0.2420241062	0.000000000
90	-25	1.81427284309766	2.144289606	-0.06674483527	0.000000000
90	-20	1.74833832301857	2.142900621	0.1020330762	0.000000000
90	-15	1.68655352878284	2.129085611	0.2634878262	0.000000000
90	-10	1.62913828017719	2.104388009	0.4171031065	0.000000000
90	-5	1.57623477334285	2.070236724	0.5626220876	0.000000000
90	0	1.52791121095695	2.027911211	0.7000000000	0.000000000
90	5	1.48418019085803	1.978532437	0.8293548269	0.000000000
90	10	1.44501461256300	1.923061594	0.9509241542	0.000000000
90	15	1.41035103988257	1.862294494	1.065025709	0.000000000
90	20	1.38011077504200	1.796879911	1.172025685	0.000000000
90	25	1.35420158331315	1.727323440	1.272310319	0.000000000
90	30	1.33253225070311	1.654006780	1.366266125	0.000000000
90	35	1.31501283433644	1.577195452	1.454260375	0.000000000
90	40	1.30156738311635	1.497058461	1.536631387	0.000000000
90	45	1.29213077070889	1.413674430	1.613674430	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	1.37815160191258	1.295676198	1.495676198	0.7956761983
40	45	1.38461562314701	1.206532806	1.542013010	0.8420130099
35	45	1.39352676933966	1.118325395	1.583060180	0.8830601800
30	45	1.40456270481404	1.030874803	1.619502130	0.9195021304
25	45	1.41749495001272	0.9438823251	1.651908718	0.9519087180
20	45	1.43217784810219	0.8569611188	1.680742614	0.9807426136
15	45	1.44853723582007	0.7696550390	1.706366306	1.006366306
10	45	1.46656194935461	0.6814489549	1.729048159	1.029048159
5	45	1.48630067869764	0.5917728028	1.748967936	1.048967936
0	45	1.50785535097218	0.5000000000	1.766214744	1.066214744
-5	45	1.53138361089133	0.4054435162	1.780785556	1.080785556
-10	45	1.55709767339249	0.3073496004	1.792574709	1.092574709
-15	45	1.58526830645266	0.2048915441	1.801359751	1.101359751
-20	45	1.61622873889375	0.09716538021	1.806779022	1.106779022
-25	45	1.65037762861965	-0.01680851422	1.808299435	1.108299435
-30	45	1.68818215017645	-0.1380728767	1.805174641	1.105174641
-35	45	1.73017567885809	-0.2677007598	1.796390310	1.096390310
-40	45	1.77694602639517	-0.4067286554	1.780597133	1.080597133
-45	45	1.82911178917923	-0.5560381839	1.756038184	1.056038184

45	50	1.35698371430081	1.325209482	1.525209482	0.6924329723
40	50	1.36113798627923	1.235989364	1.577117968	0.7359893638
35	50	1.36817640009051	1.146715215	1.623605045	0.7749966530
30	50	1.37779714130392	1.057293794	1.665261166	0.8099502887
25	50	1.38977652778735	0.9675131383	1.702585161	0.8412688384
20	50	1.40396317494814	0.8770671740	1.735983546	0.8692934114
15	50	1.42027308671642	0.7855728365	1.765772335	0.8942891733
10	50	1.43868257933990	0.6925801697	1.792176415	0.9164448270
5	50	1.45922801283033	0.5975788576	1.815331445	0.9358742045
0	50	1.48199960935522	0.5000000000	1.835277565	0.9526109865
-5	50	1.50714365334294	0.3992170144	1.851954797	0.9666048454
-10	50	1.53485935221179	0.2945457332	1.865189048	0.9777097003
-15	50	1.56540139748712	0.1852463646	1.874676559	0.9856706677
-20	50	1.59907866944016	0.07052999281	1.879959147	0.9901032851
-25	50	1.63625472438774	-0.05042704060	1.880394598	0.9904686717
-30	50	1.67734086788081	-0.1784537640	1.875116390	0.9860397293
-35	50	1.72278976532928	-0.3143353106	1.862991351	0.9758656134
-40	50	1.77307016225415	-0.4587277659	1.842567259	0.9587277659
-45	50	1.82863608550566	-0.6120309122	1.812030912	0.9331047283

45	55	1.33976754580020	1.348993644	1.548993644	0.5944717496
40	55	1.34175974892421	1.260033074	1.605772146	0.6342284845
35	55	1.34697274094678	1.170176605	1.657111383	0.6701766054
30	55	1.35514621166338	1.079372512	1.703502628	0.7026601047
25	55	1.36608112462280	0.9874600163	1.745361378	0.7319699174
20	55	1.37963807676362	0.8941878498	1.783022216	0.7583403199
15	55	1.39573774954684	0.7992289559	1.816737667	0.7819481323
10	55	1.41435527398187	0.7021893038	1.846672523	0.8029087444
5	55	1.43552241294080	0.6026157080	1.872902910	0.8212754589
0	55	1.45932142051862	0.5000000000	1.895406125	0.8370323799
-5	55	1.48588683829351	0.3937840827	1.914053490	0.8500894057
-10	55	1.51540103144911	0.2833656895	1.928594227	0.8602709388
-15	55	1.54809546950181	0.1681074284	1.938639940	0.8673050230
-20	55	1.58424436140127	0.04735238981	1.943639088	0.8708054642
-25	55	1.62416347743080	-0.07955178573	1.942852815	0.8702549101
-30	55	1.66819498358167	-0.2132118368	1.935319138	0.8649797724
-35	55	1.71669726303657	-0.3541303839	1.919824605	0.8541303839
-40	55	1.77001530939358	-0.5026162858	1.894871561	0.8366580739
-45	55	1.82844410378102	-0.6586617602	1.858661760	0.8113036987

45	60	1.32589513623543	1.368002118	1.568002118	0.5011412564
40	60	1.32594765075461	1.279470105	1.628936298	0.5363216217
35	60	1.32946993990731	1.189346640	1.684489029	0.5683950061
30	60	1.33625282737822	1.097590431	1.735056989	0.5975904314
25	60	1.34613501719816	1.004065079	1.780971050	0.6240989266
20	60	1.35900246122175	0.9085522601	1.822488109	0.6480688120
15	60	1.37479229461930	0.8107644078	1.859788559	0.6696042369
10	60	1.39348850406542	0.7103523658	1.892967548	0.6887601348
5	60	1.41512440063934	0.6069138628	1.922031044	0.7055399520
0	60	1.43977784482017	0.5000000000	1.946884189	0.7198889224
-5	60	1.46757240701462	0.3891236453	1.967322533	0.7316890056
-10	60	1.49867151491017	0.2737698605	1.983014877	0.7407489847
-15	60	1.53327860268162	0.1534106142	1.993489197	0.7467963362
-20	60	1.57162656625739	0.02752728273	1.998108122	0.7494630737
-25	60	1.61397519809687	-0.1043587939	1.996051616	0.7482757494
-30	60	1.66059095084634	-0.2426388498	1.986288219	0.7426388498
-35	60	1.71173308660949	-0.3875548184	1.967559645	0.7318259021
-40	60	1.76762715982960	-0.5391153280	1.938369425	0.7149729210
-45	60	1.82842463386319	-0.6969848982	1.896984898	0.6910795532

45	65	1.31487833866802	1.382997258	1.582997258	0.4117483834
40	65	1.31325687991141	1.294949453	1.647383866	0.4417723519
35	65	1.31528319261772	1.204751506	1.706489458	0.4693337423
30	65	1.32080123163398	1.112353605	1.760627557	0.4945787521
25	65	1.32969230768081	1.017624776	1.810049915	0.5176247765
20	65	1.34187498107279	0.9203628853	1.854937535	0.5385562174
15	65	1.35731010117191	0.8203057352	1.895397278	0.5574229051
10	65	1.37599715414865	0.7171381402	1.931451587	0.5742353055
5	65	1.39797645733533	0.6105010448	1.963032722	0.5889618307
0	65	1.42332516459436	0.5000000000	1.989970680	0.6015232070
-5	65	1.45215740927984	0.3852162995	2.011983700	0.6117880467
-10	65	1.48461718078674	0.2657211626	2.028661311	0.6195649444
-15	65	1.52087769420051	0.1410946566	2.039452977	0.6245971808
-20	65	1.56112775588917	0.01095282573	2.043646068	0.6265524515
-25	65	1.60556806891156	-0.1250181399	2.040355726	0.6250181399
-30	65	1.65438918728292	-0.2670125974	2.028504789	0.6194919569
-35	65	1.70775530759883	-0.4150448600	2.006819493	0.6093799373
-40	65	1.76578223692866	-0.5688751333	1.973835780	0.5939993795
-45	65	1.82850019416815	-0.7279163856	1.927916386	0.5725868142

45	70	1.30633421567580	1.394566017	1.594566017	0.3255954027
40	70	1.30332956233268	1.306983988	1.661726066	0.3500396617
35	70	1.30409467282436	1.216816670	1.723720298	0.3726037166
30	70	1.30852291158842	1.123996581	1.780793781	0.3933767658
25	70	1.31653758931733	1.028387155	1.833129911	0.4124255593
20	70	1.32809223916835	0.9297913364	1.880841992	0.4297913364
15	70	1.34317408881919	0.8279613197	1.923968308	0.4454880318
10	70	1.36180153849097	0.7226061543	1.962462236	0.4594986758
5	70	1.38402519676343	0.6134015157	1.996185256	0.4717728513
0	70	1.40992404324551	0.5000000000	2.024895219	0.4822224233
-5	70	1.43960413171092	0.3820445676	2.048236762	0.4907180502
-10	70	1.47319113257894	0.2591856057	2.065726296	0.4970837200
-15	70	1.51082886443521	0.1311026007	2.076743837	0.5010937769
-20	70	1.55266333194373	-0.002466040237	2.080514100	0.5024660402
-25	70	1.59883821592207	-0.1416873955	2.076103061	0.5008605533
-30	70	1.64947389803284	-0.2865862057	2.062407273	0.4958756943
-35	70	1.70464953721694	-0.4369881110	2.038157703	0.4870495727
-40	70	1.76438562013641	-0.5924565702	2.001939042	0.4738670582
-45	70	1.82861570926561	-0.7522197242	1.952219724	0.4557707064

45	75	1.29996864766741	1.403148786	1.603148786	0.2419979878
40	75	1.29588362909825	1.315966106	1.672430538	0.2605619773
35	75	1.29564876033510	1.225874276	1.736655900	0.2777711113
30	75	1.29919887496468	1.132785821	1.796017193	0.2936769217
25	75	1.30649383554769	1.036553577	1.850642858	0.3083138246
20	75	1.31751908111552	0.9369790835	1.900590165	0.3216971651
15	75	1.33228712285216	0.8338216013	1.945839177	0.3338216013
10	75	1.35083531936802	0.7268064901	1.986283524	0.3446586315
5	75	1.37322554816720	0.6156357664	2.021722858	0.3541545725
0	75	1.39953968059888	0.5000000000	2.051851522	0.3622275237
-5	75	1.42987790402900	0.3795936854	2.076250473	0.3687652029
-10	75	1.46435019596863	0.2541342579	2.094373913	0.3736213640
-15	75	1.50307431127545	0.1233854813	2.105544519	0.3766145187
-20	75	1.54615847535898	-0.01281148275	2.108937969	0.3775237911
-25	75	1.59369625611649	-0.1545024576	2.103585050	0.3760894806
-30	75	1.64574849498799	-0.3015757503	2.088369926	0.3720126004
-35	75	1.70232400678111	-0.4537100205	2.062039065	0.3649572675
-40	75	1.76336696280991	-0.6103216686	2.023229837	0.3545583663
-45	75	1.82873602734805	-0.7705081201	1.970508120	0.3404316248

45	80	1.29556733455920	1.409065711	1.609065711	0.1602928120
40	80	1.29070955855675	1.322185599	1.679842641	0.1727726945
35	80	1.28975137267411	1.232172937	1.745651321	0.1843765403
30	80	1.29265862944276	1.138922911	1.806646944	0.1951317144
25	80	1.29941964838469	1.042277749	1.862918385	0.2050538876
20	80	1.31004509110197	0.9420350305	1.914481265	0.2141458146
15	80	1.32456811724535	0.8379566910	1.961271541	0.2223962028
10	80	1.34304202892614	0.7297781997	2.003136927	0.2297781997
5	80	1.36553852427996	0.6172198517	2.039829036	0.2362480086
0	80	1.39214256282520	0.5000000000	2.070992789	0.2417430191
-5	80	1.42295037137117	0.3778518302	2.096159970	0.2461806720
-10	80	1.45805986521369	0.2505436437	2.114737298	0.2494563563
-15	80	1.49756832209848	0.1179032033	2.126004659	0.2514430960
-20	80	1.54155437729578	-0.02015082594	2.129102649	0.2519893552
-25	80	1.59007273151552	-0.1635739747	2.123038981	0.2509201669
-30	80	1.64313887140321	-0.3121549243	2.106693593	0.2480380340
-35	80	1.70070935623134	-0.4654677568	2.078830853	0.2431250811
-40	80	1.76267305293766	-0.6228276649	2.038133903	0.2359491110
-45	80	1.82883564141373	-0.7832461330	1.983246133	0.2262709161

45	85	1.29298320081576	1.412532665	1.612532665	0.07983626327
40	85	1.28766194170390	1.325840503	1.684198386	0.08610620142
35	85	1.28626686716764	1.235885000	1.750952697	0.09194644686
30	85	1.28878286445643	1.142549729	1.812928777	0.09736865132
25	85	1.29521606996075	1.045669295	1.870191579	0.1023784973
20	85	1.30559316867022	0.9450377156	1.922731074	0.1069751075
15	85	1.31996087756778	0.8404176255	1.970455874	0.1111504865
10	85	1.33838311593402	0.7315499272	2.013184892	0.1148887912
5	85	1.36093808769452	0.6181656186	2.050639201	0.1181656186
0	85	1.38771322850377	0.5000000000	2.082432561	0.1209471772
-5	85	1.41880247083060	0.3768102141	2.108065696	0.1231897859
-10	85	1.45429615333422	0.2483962817	2.126915593	0.1248389382
-15	85	1.49427851028427	0.1146258947	2.138235741	0.1258293228
-20	85	1.53880935951890	-0.02453414930	2.141145731	0.1260839139
-25	85	1.58791885390936	-0.1689837946	2.134640377	0.1255147692
-30	85	1.64159410680926	-0.3184511741	2.117599017	0.1240238434
-35	85	1.69975955689062	-0.4724479377	2.088799584	0.1215042195
-40	85	1.76227059022013	-0.6302302123	2.046955916	0.1178433729
-45	85	1.82890133136076	-0.7907609353	1.990760935	0.1129269492

45	90	1.29213077134626	1.413674431	1.613674431	0.000000000
40	90	1.28665499314165	1.327045888	1.685634908	0.000000000
35	90	1.28511374221153	1.237110961	1.752703549	0.000000000
30	90	1.28749832166204	1.143749161	1.815006254	0.000000000
25	90	1.29382094684251	1.046792360	1.872599999	0.000000000
20	90	1.30411380202511	0.9460331895	1.925466116	0.000000000
15	90	1.31842829885290	0.8412343533	1.973503944	0.000000000
10	90	1.33683206974102	0.7321384528	2.016522587	0.000000000
5	90	1.35940560451065	0.6184800052	2.054232656	0.000000000
0	90	1.38623726303940	0.5000000000	2.086237263	0.000000000
-5	90	1.41742023162454	0.3764636869	2.112026520	0.000000000
-10	90	1.45304226557899	0.2476818585	2.130967289	0.000000000
-15	90	1.49318312263436	0.1135357700	2.142304142	0.000000000
-20	90	1.53789616751045	-0.02599146763	2.145149680	0.000000000
-25	90	1.58720316486152	-0.1707810426	2.138494588	0.000000000
-30	90	1.64108157691608	-0.3205407885	2.121218335	0.000000000
-35	90	1.69944501505027	-0.4747616155	2.092103858	0.000000000
-40	90	1.76213766582561	-0.6326802582	2.049875767	0.000000000
-45	90	1.82892318992934	-0.7932439899	1.993243990	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	1.82892318359571	-0.7932439854	1.993243985	1.583767107e-16
-90	40	1.89946924508588	-0.9550778601	1.920955296	1.781956444e-16
-90	35	1.97334109452158	-1.116466392	1.831861953	1.979600392e-16
-90	30	2.05000873468003	-1.275359642	1.725004367	2.174188503e-16
-90	25	2.12884369525608	-1.429387618	1.599688222	2.362818371e-16
-90	20	2.20912233208996	-1.575895954	1.455564337	2.542239335e-16
-90	15	2.29003935385267	-1.712008155	1.292705799	2.708928707e-16
-90	10	2.37073558968795	-1.834718789	1.111673915	2.859205892e-16
-90	5	2.45029824774012	-1.940974123	0.9135575637	2.989331147e-16
-90	-2.84217e-14	2.52779249998801	-2.027792500	0.7000000000	3.095652994e-16
-90	-5	2.60227498499177	-2.092372543	0.4731967908	3.174740737e-16
-90	-10	2.67281390366549	-2.132207855	0.2358707364	3.223524924e-16
-90	-15	2.73851547563644	-2.145202824	-0.008779960403	3.239439171e-16
-90	-20	2.79853433608262	-2.129762065	-0.2571551147	3.220529695e-16
-90	-25	2.85208862411149	-2.084870129	-0.5053447367	3.165552930e-16
-90	-30	2.89848006971925	-2.010157373	-0.7492400349	3.074056192e-16
-90	-35	2.93710304350955	-1.905933962	-0.9846530969	2.946419326e-16
-90	-40	2.96745263168842	-1.773200599	-1.207441784	2.783867837e-16
-90	-45	2.98913173019567	-1.613635316	-1.413635316	2.588456725e-16

-85	45	1.82890132154324	-0.7907609283	1.990760928	0.1129269486
-85	40	1.89926869311712	-0.9516676477	1.918093788	0.1270044624
-85	35	1.97289435849714	-1.111966147	1.828710848	0.1410287639
-85	30	2.04924891173119	-1.269629430	1.721696028	0.1548225137
-85	25	2.12770905517825	-1.422325762	1.596395224	0.1681817118
-85	20	2.20756159252749	-1.567454259	1.452491811	0.1808788101
-85	15	2.28801912323528	-1.702207190	1.290079638	0.1926681639
-85	10	2.36824287744384	-1.823655111	1.109723090	0.2032934802
-85	5	2.44734477412174	-1.928824515	0.9124946107	0.2124946107
-85	-2.84217e-14	2.52441508818930	-2.014808927	0.7000000000	0.2200172720
-85	-5	2.59853607270161	-2.078871675	0.4743779638	0.2256220362
-85	-10	2.66879799408749	-2.118551568	0.2382787082	0.2290935771
-85	-15	2.73432440406375	-2.131773835	-0.005181673733	0.2302503755
-85	-20	2.79428233783756	-2.116937594	-0.2524873890	0.2289523726
-85	-25	2.84789483024837	-2.072993515	-0.4998065804	0.2251077639
-85	-30	2.89446096198405	-1.999512515	-0.7430942235	0.2186790094
-85	-35	2.93336534873685	-1.896725207	-0.9782050569	0.2096862852
-85	-40	2.96408575354804	-1.765539051	-1.201012982	0.1982089838
-85	-45	2.98620245284181	-1.607534947	-1.407534947	0.1843854159

-80	45	1.82883561665370	-0.7832461156	1.983246116	0.2262709131
-80	40	1.89866476152513	-0.9413720596	1.909454764	0.2541527833
-80	35	1.97155195985657	-1.098413426	1.819221130	0.2818434134
-80	30	2.04697082105345	-1.252414716	1.711757108	0.3089979958
-80	25	2.12431428922482	-1.401159602	1.586525282	0.3352257325
-80	20	2.20290143235696	-1.542206437	1.443302355	0.3600960950
-80	15	2.28199678624119	-1.672947972	1.282239654	0.3831493551
-80	10	2.36081998181096	-1.790674178	1.103907662	0.4039076615
-80	5	2.43855520393769	-1.892643642	0.9093291946	0.4218876294
-80	-2.84217e-14	2.51436618315298	-1.976167311	0.7000000000	0.4366151057
-80	-5	2.58740821120266	-2.038694140	0.4778930426	0.4476402727
-80	-10	2.65683768929226	-2.077896467	0.2454472995	0.4545527005
-80	-15	2.72182959835068	-2.091762680	0.005539282989	0.4569976880
-80	-20	2.78158783396768	-2.078679416	-0.2385625513	0.4546907557
-80	-25	2.83535239941973	-2.037504675	-0.4832578624	0.4474305378
-80	-30	2.88241708385251	-1.967641484	-0.7246934750	0.4351117723
-80	-35	2.92213915397005	-1.869091230	-0.9588555380	0.4177347036
-80	-40	2.95394867512677	-1.742491235	-1.181673568	0.3954117087
-80	-45	2.97735999381032	-1.589135629	-1.389135629	0.3683709778

-75	45	1.82873596986325	-0.7705080802	1.970508080	0.3404316141
-75	40	1.89766252385777	-0.9240051707	1.894882214	0.3815610355
-75	35	1.96932012252277	-1.075664167	1.803291927	0.4221979410
-75	30	2.04319070545443	-1.223656158	1.695153347	0.4618522756
-75	25	2.11869619734831	-1.365958018	1.570110514	0.4999819441
-75	20	2.19521425233754	-1.500390490	1.428082595	0.5360030165
-75	15	2.27208892188833	-1.624660176	1.269300978	0.5693009782
-75	10	2.34863222823963	-1.736399134	1.094337507	0.5992413420
-75	5	2.42414170593345	-1.833224509	0.9041306940	0.6251856228
-75	-2.84217e-14	2.49789521720772	-1.912781502	0.7000000000	0.6465028549
-75	-5	2.56916094863374	-1.972804819	0.4836576112	0.6625860542
-75	-10	2.63720013892251	-2.011177372	0.2572116759	0.6728679490
-75	-15	2.70127273368448	-2.025995592	0.02316152114	0.6768384789
-75	-20	2.76064356182382	-2.015638336	-0.2156174744	0.6740632605
-75	-25	2.81458724925473	-1.978836585	-0.4559004828	0.6642022611
-75	-30	2.86239630750974	-1.914746215	-0.6941543771	0.6470292982
-75	-35	2.90339208958422	-1.823020430	-0.9265964165	0.6224514482
-75	-40	2.93693739497687	-1.703876603	-1.149272045	0.5905269560
-75	-45	2.96244626115084	-1.558149440	-1.358149440	0.5514794803

-70	45	1.82861561655108	-0.7522196607	1.952219661	0.4557706833
-70	40	1.89626940236386	-0.8992560025	1.874115196	0.5092875350
-70	35	1.96621269439671	-1.043485981	1.780760519	0.5617829540
-70	30	2.03794166424942	-1.183267949	1.671835203	0.6126594297
-70	25	2.11092524309579	-1.316850923	1.547211499	0.6612796559
-70	20	2.18462486616460	-1.442407841	1.406978637	0.7069786369
-70	15	2.25848704989124	-1.558047871	1.251452265	0.7490681656
-70	10	2.33194900065651	-1.661840376	1.081190786	0.7868455480
-70	5	2.40444531587018	-1.751842362	0.8970106787	0.8196035919
-70	-2.84217e-14	2.47540148155165	-1.826116506	0.7000000000	0.8466371695
-70	-5	2.54422802115710	-1.882753477	0.4915360828	0.8672513411
-70	-10	2.61031961248035	-1.919904693	0.2733055118	0.8807732782
-70	-15	2.67305035622209	-1.935818967	0.04732427481	0.8865656001
-70	-20	2.73177262760974	-1.928891410	-0.1840441754	0.8840441754
-70	-25	2.78581627065111	-1.897722457	-0.4180763440	0.8726996045
-70	-30	2.83448919554076	-1.841188120	-0.6516855915	0.8521227886
-70	-35	2.87708452019245	-1.758524541	-0.8814359086	0.8220357062
-70	-40	2.91289078659689	-1.649420284	-1.103577768	0.7823250044
-70	-45	2.94120585664097	-1.514111531	-1.314111531	0.7330766459

-65	45	1.82849995941224	-0.7279162280	1.927916228	0.5725867407
-65	40	1.89449945394964	-0.8666924151	1.846791101	0.6372991395
-65	35	1.96224762679395	-1.001563741	1.751406251	0.7001906717
-65	30	2.03126993114371	-1.131146922	1.641743115	0.7606163013
-65	25	2.10110299004502	-1.254036767	1.517920777	0.8179207771
-65	20	2.17130751174627	-1.368821299	1.380195326	0.8714456837
-65	15	2.24145476057334	-1.474072776	1.228951206	0.9205252531
-65	10	2.31112929558732	-1.568350090	1.064705926	0.9644874868
-65	5	2.37991913754451	-1.650190534	0.8881172962	1.002650313
-65	-2.84217e-14	2.44741127747373	-1.718107899	0.7000000000	1.034320700
-65	-5	2.51317945671806	-1.770587515	0.5013493329	1.058792347
-65	-10	2.57677038632685	-1.806086151	0.2933747918	1.075345632
-65	-15	2.63769430705391	-1.823045111	0.07754193863	1.083253725
-65	-20	2.69541686408332	-1.819916649	-0.1443806062	1.081794900
-65	-25	2.74934907352945	-1.795203701	-0.3702710630	1.070271063
-65	-30	2.79884200596113	-1.747521343	-0.5976070523	1.048036414
-65	-35	2.84318507596852	-1.675680358	-0.8234277874	1.014536413
-65	-40	2.88160613422827	-1.578791439	-1.044313130	0.9693563679
-65	-45	2.91329314002331	-1.456401424	-1.256401424	0.9122849662

-60	45	1.82842437322083	-0.6969847275	1.896984728	0.6910794547
-60	40	1.89237906480664	-0.8257684811	1.812451844	0.7654327895
-60	35	1.95745910797058	-0.9495228205	1.714966806	0.8368823906
-60	30	2.02324246797369	-1.067196877	1.604821539	0.9048215387
-60	25	2.08935962012995	-1.177794005	1.482368193	0.9686748206
-60	20	2.15548034234867	-1.280350752	1.347994680	1.027885986
-60	15	2.22131836690838	-1.373926439	1.202117076	1.081911934
-60	10	2.28660751847622	-1.457568043	1.045172063	1.130202437
-60	5	2.35110192109082	-1.530294674	0.8776277676	1.172191177
-60	-2.84217e-14	2.41455306116955	-1.591064290	0.7000000000	1.207276531
-60	-5	2.47669664855655	-1.638752034	0.5128834429	1.234809062
-60	-10	2.53724247832987	-1.672136999	0.3169936413	1.254083881
-60	-15	2.59585284575538	-1.689887479	0.1132214185	1.264332125
-60	-20	2.65212811796386	-1.690564301	-0.09730020180	1.264722889
-60	-25	2.70559073861284	-1.672638869	-0.3131181430	1.254373636
-60	-30	2.75566998979853	-1.634532796	-0.5323730841	1.232373084
-60	-35	2.80168930482554	-1.574685784	-0.7527106251	1.197820396
-60	-40	2.84285898841832	-1.491658497	-0.9711999099	1.149884569
-60	-45	2.87828320366581	-1.384278665	-1.184278665	1.087888794

-55	45	1.82844368757120	-0.6586614965	1.858661496	0.8113035140
-55	40	1.88994733486601	-0.7758332142	1.770551180	0.8933480341
-55	35	1.95189862041581	-0.8869504049	1.671153129	0.9711531287
-55	30	2.01395537238075	-0.9913590071	1.561036524	1.044260819
-55	25	2.07585677503429	-1.088500464	1.440729931	1.112279999
-55	20	2.13740433765295	-1.177872206	1.310695540	1.174858767
-55	15	2.19844901342090	-1.258991488	1.171320349	1.231659100
-55	10	2.25887874461461	-1.331360364	1.022918244	1.282332332
-55	5	2.31859903521198	-1.394426398	0.8657408337	1.326491645
-55	-2.84217e-14	2.37751945975198	-1.447549926	0.7000000000	1.363689139
-55	-5	2.43553687136300	-1.489971217	0.5259000778	1.393392847
-55	-10	2.49251582157833	-1.520778978	0.3436821441	1.414964674
-55	-15	2.54827415572469	-1.538888563	0.1536814561	1.427645141
-55	-20	2.60256311979406	-1.543023983	-0.04359991757	1.430540793
-55	-25	2.65504461824986	-1.531710308	-0.2474020756	1.422618873
-55	-30	2.70526765048985	-1.503284349	-0.4565967582	1.402714802
-55	-35	2.75264378671164	-1.455931714	-0.6695581305	1.369558131
-55	-40	2.79642576743716	-1.387763119	-0.8840213367	1.321825966
-55	-45	2.83569005626531	-1.296940702	-1.096940702	1.258231425

-50	45	1.82863563230092	-0.6120306366	1.812030637	0.9331044970
-50	40	1.88726740090866	-0.7161560145	1.720476063	1.020476063
-50	35	1.94564233795219	-0.8134308412	1.619674176	1.102099334
-50	30	2.00353144708433	-0.9036399434	1.510391899	1.177793759
-50	25	2.06079697875778	-0.9866594942	1.393240707	1.247455433
-50	20	2.11737553236894	-1.062410077	1.268670762	1.311017719
-50	15	2.17325892464727	-1.130812596	1.136974918	1.368414247
-50	10	2.22847027899368	-1.191744041	0.9983001188	1.419541801
-50	5	2.28305064501294	-1.245003628	0.8526680352	1.464231900
-50	-2.84217e-14	2.33705118910029	-1.290285077	0.7000000000	1.502227548
-50	-5	2.39050760372243	-1.327136183	0.5401462973	1.533149297
-50	-10	2.44342822337620	-1.354929444	0.3729258917	1.556470612
-50	-15	2.49578105298618	-1.372833067	0.1981758922	1.571493536
-50	-20	2.54747396201918	-1.379779439	0.01581623738	1.577322234
-50	-25	2.59832817633244	-1.374434645	-0.1740632295	1.572837419
-50	-30	2.64804987835545	-1.355178558	-0.3710878400	1.556679644
-50	-35	2.69619670282337	-1.320102202	-0.5744492821	1.527247086
-50	-40	2.74213869430965	-1.267035484	-0.7827188231	1.482718823
-50	-45	2.78501546260613	-1.193624724	-0.9936247238	1.421119881

-45	45	1.82911145879382	-0.5560379931	1.756037993	1.056037993
-45	40	1.88443070779490	-0.6459607603	1.661575251	1.145960760
-45	35	1.93880120397082	-0.7285936502	1.560270535	1.228593650
-45	30	1.99212768755681	-0.8041537032	1.452953492	1.304153703
-45	25	2.04441331596932	-0.8729113170	1.340199061	1.372911317
-45	20	2.09572735851478	-0.9351353986	1.222346567	1.435135399
-45	15	2.14618358343794	-0.9910537274	1.099526642	1.491053727
-45	10	2.19592556667724	-1.040823532	0.9716887611	1.540823532
-45	5	2.24510891854824	-1.084502585	0.8386260135	1.584502585
-45	-2.84217e-14	2.29389378656279	-1.122027852	0.7000000000	1.622027852
-45	-5	2.34242976478162	-1.153187508	0.5553648344	1.653187508
-45	-10	2.39084733906012	-1.177595041	0.4041947316	1.677595041
-45	-15	2.43924974800004	-1.194660446	0.2459171020	1.694660446
-45	-20	2.48769388148833	-1.203550577	0.07995829749	1.703550577
-45	-25	2.53616749075918	-1.203145358	-0.09418972360	1.703145358
-45	-30	2.58456088092786	-1.191992268	-0.2768721913	1.691992268
-45	-35	2.63262814098867	-1.168262951	-0.4681302938	1.668262951
-45	-40	2.67993559898807	-1.129723515	-0.6675004003	1.629723515
-45	-45	2.72579643221602	-1.073739304	-0.8737393039	1.573739304


### -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	2.98913173630759	-1.613635321	-1.413635321	2.588456730e-16
-40	-90	3.00185348198444	-1.429554224	-1.599553179	2.816140440e-16
-35	-90	3.00545066295272	-1.223855681	-1.761921055	3.014983739e-16
-30	-90	2.99988326006610	-0.9999416300	-1.897975112	3.181601905e-16
-25	-90	2.98522029937154	-0.7616086138	-2.005528403	3.313316699e-16
-20	-90	2.96165878350355	-0.5129469616	-2.083048904	3.408251932e-16
-15	-90	2.92950358376225	-0.2582113202	-2.129683170	3.465362436e-16
-10	-90	2.88917872885298	-0.001700621219	-2.145285612	3.484469917e-16
-5	-90	2.84121184431658	0.2523720714	-2.130400175	3.466240515e-16
-2.84217e-14	-90	2.78622323306812	0.5000000000	-2.086223233	3.412139364e-16
5	-90	2.72492848943980	0.7374931664	-2.014559314	3.324376375e-16
10	-90	2.65812203325266	0.9615780471	-1.917739187	3.205805916e-16
15	-90	2.58666157436005	1.169477279	-1.798523219	3.059808462e-16
20	-90	2.51145314862723	1.358967566	-1.659993991	2.890159087e-16
25	-90	2.43342967440673	1.528411819	-1.505436263	2.700880460e-16
30	-90	2.35353858046378	1.676769290	-1.338224199	2.496104742e-16
35	-90	2.27271407416182	1.803575240	-1.161698380	2.279922962e-16
40	-90	2.19185501724347	1.908897247	-0.9790583561	2.056253441e-16
45	-90	2.11181568481075	1.993279191	-0.7932791913	1.828739582e-16

-45	-85	2.98620246301794	-1.607534954	-1.407534954	0.1843854165
-40	-85	2.99837541478392	-1.423004617	-1.591747661	0.2005019400
-35	-85	3.00146290213758	-1.217164288	-1.752364755	0.2145541149
-30	-85	2.99545159129123	-0.9934452200	-1.886722999	0.2263089381
-25	-85	2.98043515687475	-0.7556452843	-1.992740002	0.2355842240
-20	-85	2.95663011196486	-0.5078268962	-2.068981640	0.2422545030
-15	-85	2.92435558164805	-0.2541906734	-2.114677912	0.2462524088
-10	-85	2.88404086370847	0.001040140076	-2.129741982	0.2475703442
-5	-85	2.83621150490932	0.2537414156	-2.114748500	0.2462585844
-2.84217e-14	-85	2.78147956146527	0.5000000000	-2.070895192	0.2424219171
5	-85	2.72054512495521	0.7362156667	-1.999957425	0.2362156667
10	-85	2.65418174476222	0.9591925753	-1.904210504	0.2278388966
15	-85	2.58322141508012	1.166212245	-1.786337949	0.2175263842
20	-85	2.50854307226884	1.355087408	-1.649333345	0.2055400345
25	-85	2.43105342786293	1.524192983	-1.496388939	0.1921591329
30	-85	2.35167367514644	1.672476237	-1.330788413	0.1776709641
35	-85	2.27131617269774	1.799440688	-1.155793628	0.1623609043
40	-85	2.19086458833460	1.905108479	-0.9745430780	0.1465035359
45	-85	2.11116318048128	1.989969368	-0.7899693683	0.1303554287

-45	-80	2.97736002223990	-1.589135649	-1.389135649	0.3683709813
-40	-80	2.98790489159846	-1.403303773	-1.568269109	0.3999570435
-35	-80	2.98948652005582	-1.197087650	-1.723692345	0.4273623533
-30	-80	2.98217134433290	-0.9739990543	-1.853041252	0.4501700556
-25	-80	2.96612433660997	-0.7378320038	-1.954539299	0.4680668997
-20	-80	2.94161641135904	-0.4925593469	-2.027034393	0.4808497408
-15	-80	2.90900638256546	-0.2422179035	-2.069994926	0.4884248419
-10	-80	2.86873734489306	0.009193838801	-2.083500059	0.4908061612
-5	-80	2.82132712417638	0.2578130962	-2.068208977	0.4881099309
-2.84217e-14	-80	2.76736267738285	0.5000000000	-2.025320220	0.4805474859
5	-80	2.70749865117835	0.7324156989	-1.956523594	0.4684167845
10	-80	2.64244641812564	0.9520905286	-1.863932796	0.4520905286
15	-80	2.57296554092234	1.156478824	-1.750012326	0.4320032761
20	-80	2.49985569518708	1.343500576	-1.617498785	0.4086375635
25	-80	2.42394646497721	1.511568690	-1.469316057	0.3825089504
30	-80	2.34608314789515	1.659599480	-1.308485216	0.3541501340
35	-80	2.26711476701716	1.787007801	-1.138037626	0.3240956249
40	-80	2.18787996052743	1.893685654	-0.9609298854	0.2928667519
45	-80	2.10919139403459	1.979964431	-0.7799644314	0.2609576597

-45	-75	2.96244631716378	-1.558149479	-1.358149479	0.5514794907
-40	-75	2.97033716588748	-1.370302545	-1.528939777	0.5972426133
-35	-75	2.96948943783723	-1.163626796	-1.675905292	0.6366219043
-30	-75	2.96009628251772	-0.9417399778	-1.797166893	0.6691138523
-25	-75	2.94243159655987	-0.7084038624	-1.891430446	0.6943716952
-20	-75	2.91684636138187	-0.4674249641	-1.957978244	0.7122031239
-15	-75	2.88375141759906	-0.2225608501	-1.996633804	0.7225608501
-10	-75	2.84360748495527	0.02255569302	-2.007721218	0.7255317137
-5	-75	2.79691636704594	0.2644789174	-1.992018292	0.7213241275
-2.84217e-14	-75	2.74422142755313	0.5000000000	-1.950714350	0.7102567694
5	-75	2.68610313019281	0.7261897870	-1.885361095	0.6927454176
10	-75	2.62317654908364	0.9404337505	-1.797823922	0.6692899027
15	-75	2.55609074223808	1.140461272	-1.690234006	0.6404612715
20	-75	2.48552217272658	1.324368479	-1.564933782	0.6068871777
25	-75	2.41217829509989	1.490638346	-1.424430788	0.5692395139
30	-75	2.33678809842502	1.638152445	-1.271337861	0.5282183880
35	-75	2.26009908370651	1.766197936	-1.108318058	0.4845373633
40	-75	2.18287394806873	1.874468443	-0.9380277052	0.4389082008
45	-75	2.10586956142079	1.963045698	-0.7630456981	0.3920219133

-45	-70	2.94120595607733	-1.514111600	-1.314111600	0.7330766707
-40	-70	2.94550826602740	-1.323773568	-1.473488702	0.7910851920
-35	-70	2.94143077278365	-1.116804864	-1.609036644	0.8404206083
-30	-70	2.92932570533126	-0.8969103692	-1.719519733	0.8806331641
-25	-70	2.90960244517827	-0.6677574357	-1.804263902	0.9114775192
-20	-70	2.88269890537888	-0.4328862699	-1.863083962	0.9328862699
-15	-70	2.84907660743735	-0.1956558587	-1.896223009	0.9449478969
-10	-70	2.80920522588742	0.04079478222	-1.904282203	0.9478812035
-5	-70	2.76355889934829	0.2735649837	-1.888164080	0.9420146865
-2.84217e-14	-70	2.71261697685149	0.5000000000	-1.849026156	0.9277696472
5	-70	2.65686440382300	0.7176928940	-1.788241165	0.9056457197
10	-70	2.59679616527408	0.9244838852	-1.707367741	0.8762102006
15	-70	2.53291915985160	1.118460047	-1.608124319	0.8400885490
20	-70	2.46576035418268	1.297958460	-1.492372851	0.7979584601
25	-70	2.39586986253140	1.461572895	-1.362099728	0.7505429212
30	-70	2.32383192201992	1.608167966	-1.219403220	0.6986056397
35	-70	2.25025945048744	1.736891400	-1.066463987	0.6429403111
40	-70	2.17580637326152	1.847196407	-0.9055261580	0.5843637318
45	-70	2.10114662660465	1.938846465	-0.7388464651	0.5236972850

-45	-65	2.91329331553589	-1.456401541	-1.256401541	0.9122850212
-40	-65	2.91320736665654	-1.263442200	-1.401588577	0.9799868478
-35	-65	2.90527263666912	-1.056695377	-1.523191400	1.036691175
-30	-65	2.89002125172289	-0.8398798323	-1.620739946	1.082178809
-25	-65	2.86798773596813	-0.6164549138	-1.694245289	1.116454914
-20	-65	2.83969391335584	-0.3895776011	-1.744094372	1.139699923
-15	-65	2.80563279745560	-0.1620891387	-1.770950305	1.152223050
-10	-65	2.76626524225283	0.06347170626	-1.775674976	1.154426200
-5	-65	2.72201879876639	0.2848419266	-1.759268033	1.146775517
-2.84217e-14	-65	2.67329091576681	0.5000000000	-1.722824374	1.129781560
5	-65	2.62045495276845	0.7071301049	-1.667507932	1.103987079
10	-65	2.56386903358282	0.9045893205	-1.594540058	1.069961601
15	-65	2.50388734134202	1.090881535	-1.505199909	1.028301605
20	-65	2.44087033874918	1.264640009	-1.400831160	0.9796336583
25	-65	2.37519727630885	1.424620645	-1.282855372	0.9246206450
30	-65	2.30728373377932	1.569709415	-1.152791056	0.8639706584
35	-65	2.23758864166806	1.698938733	-1.012261962	0.7984408657
40	-65	2.16662171618132	1.811513972	-0.8630014882	0.7288395636
45	-65	2.09495176112850	1.906850053	-0.7068500528	0.6560249535

-45	-60	2.87828309110553	-1.384278591	-1.184278591	1.087888752
-40	-60	2.87319574497199	-1.189033642	-1.312911911	1.162155233
-35	-60	2.86101066639216	-0.9834694862	-1.418613990	1.223182357
-30	-60	2.84241585196726	-0.7711670131	-1.501725852	1.271167013
-25	-60	2.81805229236868	-0.5552297746	-1.562947554	1.306513380
-20	-60	2.78848936047067	-0.3382940156	-1.603193879	1.329749606
-15	-60	2.75422306033240	-0.1225773171	-1.623490179	1.341467680
-10	-60	2.71567895414312	0.09005797966	-1.624896727	1.342279751
-5	-60	2.67321448374175	0.2980363519	-1.608455061	1.332787151
-2.84217e-14	-60	2.62712875293982	0.5000000000	-1.575160239	1.313564376
5	-60	2.57767568774255	0.6947456101	-1.525952509	1.285154280
10	-60	2.52507600267552	0.8811697831	-1.461721261	1.248070352
15	-60	2.46952999135143	1.058223979	-1.383320253	1.202805509
20	-60	2.41123214898173	1.224880471	-1.291592726	1.149846596
25	-60	2.35039250210225	1.380112891	-1.187408186	1.089695624
30	-60	2.28724794548905	1.522888378	-1.071694640	1.022888378
35	-60	2.22208753959894	1.652179927	-0.9454834661	0.9500203221
40	-60	2.15526179815838	1.766989794	-0.8099396383	0.8717640566
45	-60	2.08720364084110	1.866395525	-0.6663955250	0.7888888242

-45	-55	2.83568999990228	-1.296940667	-1.096940667	1.258231400
-40	-55	2.82524813852294	-1.100347624	-1.207220030	1.335449842
-35	-55	2.80869703842643	-0.8974470230	-1.295761180	1.397447023
-30	-55	2.78684308514670	-0.6914731162	-1.363691973	1.445012676
-25	-55	2.76037585300476	-0.4849875195	-1.412312552	1.479057172
-20	-55	2.72986627651160	-0.2799727594	-1.442957544	1.500515027
-15	-55	2.69577276164004	-0.07794042547	-1.456903032	1.510279762
-10	-55	2.65845070254565	0.1199609061	-1.455308804	1.509163472
-5	-55	2.61816647030712	0.3128451332	-1.439189917	1.497876905
-2.84217e-14	-55	2.57511220823041	0.5000000000	-1.409408430	1.477023684
5	-55	2.52942089517149	0.6808110508	-1.366679768	1.447104753
10	-55	2.48118344598881	0.8546978350	-1.311591383	1.408531450
15	-55	2.43046114804186	1.021060888	-1.244625709	1.361641581
20	-55	2.37729934173135	1.179237933	-1.166190884	1.306720925
25	-55	2.32174458346023	1.328470310	-1.076660313	1.244030944
30	-55	2.26386907334727	1.467883392	-0.9764232116	1.173844170
35	-55	2.20378567194418	1.596477721	-0.8659324712	1.096477721
40	-55	2.14167565036028	1.713141420	-0.7457656457	1.012336004
45	-55	2.07781013225057	1.816681839	-0.6166818391	0.9219505491

-45	-50	2.78501548585979	-1.193624738	-0.9936247380	1.421119893
-40	-50	2.76919303303369	-0.9973475424	-1.084469313	1.497347542
-35	-50	2.74849237016292	-0.7991686119	-1.155405064	1.556869705
-30	-50	2.72376052995642	-0.6017114166	-1.208220149	1.601186823
-25	-50	2.69566809754180	-0.4068078406	-1.244655690	1.631759872
-20	-50	2.66472576232064	-0.2156744782	-1.266299468	1.649921159
-15	-50	2.63130523151586	-0.02907381385	-1.274530354	1.656827692
-10	-50	2.59566239464393	0.1525480245	-1.270498072	1.653444205
-5	-50	2.55795777471478	0.3289488722	-1.255123337	1.640543271
-2.84217e-14	-50	2.51827441602747	0.5000000000	-1.229110123	1.618715592
5	-50	2.47663473399139	0.6656130405	-1.192965714	1.588386833
10	-50	2.43301518069278	0.8256802320	-1.147024379	1.549837475
15	-50	2.38735930868174	0.9800238602	-1.091473435	1.503224699
20	-50	2.33958572957243	1.128350512	-1.026378842	1.448603850
25	-50	2.28960601206809	1.270210801	-0.9517223923	1.385959650
30	-50	2.23734298885422	1.404964400	-0.8674443198	1.315241951
35	-50	2.18274880053062	1.531750628	-0.7734926030	1.236407100
40	-50	2.12583054249430	1.649471019	-0.6698862168	1.149471019
45	-50	2.06668421550678	1.756792837	-0.5567928368	1.054574406

-45	-45	2.72579622456781	-1.073739184	-0.8737391840	1.573739184
-40	-45	2.70496401125746	-0.8802717384	-0.9449438030	1.644943803
-35	-45	2.68069263682813	-0.6894571165	-0.9987208101	1.698720810
-30	-45	2.65377035266330	-0.5030309128	-1.037300503	1.737300503
-25	-45	2.62476384852546	-0.3219332844	-1.062641617	1.762641617
-20	-45	2.59405952408456	-0.1465526549	-1.076388820	1.776388820
-15	-45	2.56190285209942	0.02308439415	-1.079873272	1.779873272
-10	-45	2.52842998367226	0.1871724523	-1.074133184	1.774133184
-5	-45	2.49369067131754	0.3460251109	-1.059941036	1.759941036
-2.84217e-14	-45	2.45766489208270	0.5000000000	-1.037831511	1.737831511
5	-45	2.42028005039542	0.6494420926	-1.008130935	1.708130935
10	-45	2.38142164099061	0.7946390830	-0.9709812750	1.670981275
15	-45	2.34093989405830	0.9357818513	-0.9263600102	1.626360010
20	-45	2.29865870473593	1.072925900	-0.8741009741	1.574100974
25	-45	2.25438825001366	1.205951791	-0.8139185003	1.513918500
30	-45	2.20792929789678	1.334518834	-0.7454290195	1.445429020
35	-45	2.15909473535228	1.458017552	-0.6681908576	1.368190858
40	-45	2.10773395447792	1.575521004	-0.5817560206	1.281756021
45	-45	2.05375918270896	1.685738417	-0.4857384170	1.185738417