path: root/test/Kerr-selection-areal-radius-definition-expansion-product/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	2.57135534880282	-0.9845727028	-0.7845727028	1.484572703
-40	-45	2.54972835711768	-0.8010590815	-0.8505418346	1.550541835
-35	-45	2.52470739753110	-0.6202444995	-0.8998749490	1.599874949
-30	-45	2.49709159041707	-0.4438119070	-0.9347301758	1.634730176
-25	-45	2.46745198686919	-0.2726717650	-0.9569999474	1.656999947
-20	-45	2.43617623083012	-0.1072012594	-0.9682717492	1.668271749
-15	-45	2.40350800257950	0.05257067055	-0.9698289903	1.669828990
-10	-45	2.36958113163954	0.2068258725	-0.9626730993	1.662673099
-5	-45	2.33444269286313	0.3558580024	-0.9475505714	1.647550571
0	-45	2.29807118223334	0.5000000000	-0.9249817166	1.624981717
5	-45	2.26039130541740	0.6395696365	-0.8952882451	1.595288245
10	-45	2.22128822968655	0.7748267320	-0.8586198489	1.558619849
15	-45	2.18061124671848	0.9059355853	-0.8149722291	1.514972229
20	-45	2.13818462172511	1.032928767	-0.7642097537	1.464209754
25	-45	2.09381857635308	1.155670102	-0.7060890705	1.406089071
30	-45	2.04731926685610	1.273813948	-0.6402850732	1.340285073
35	-45	1.99850476547480	1.386761758	-0.5664270374	1.266427037
40	-45	1.94722999724427	1.493620071	-0.4841502895	1.184150290
45	-45	1.89341991956443	1.593166500	-0.3931665002	1.093166500

-45	-40	2.52436131138569	-1.035115617	-0.5881149476	1.535115617
-40	-40	2.50124160626614	-0.8524618643	-0.6524618643	1.611801286
-35	-40	2.47457682115024	-0.6696930902	-0.7017116169	1.670494855
-30	-40	2.44514256995295	-0.4890155375	-0.7373987803	1.713025160
-25	-40	2.41352377477903	-0.3118960508	-0.7609703805	1.741116700
-20	-40	2.38014311528082	-0.1392431469	-0.7737158106	1.756306112
-15	-40	2.34529118547621	0.02843473374	-0.7767360834	1.759905533
-10	-40	2.30915330387808	0.1908997569	-0.7709371132	1.752994589
-5	-40	2.27183138306858	0.3480821990	-0.7570364397	1.736428412
0	-40	2.23336187799195	0.5000000000	-0.7355773431	1.710854456
5	-40	2.19373161383901	0.6466952545	-0.7069472427	1.676734431
10	-40	2.15289496499491	0.7881837061	-0.6714001143	1.634371013
15	-40	2.11077891414726	0.9244121271	-0.6290730831	1.583927622
20	-40	2.06729601563339	1.055220735	-0.5800099304	1.525456433
25	-40	2.02235683182910	1.180309654	-0.5241865860	1.458928762
30	-40	1.97588375999996	1.299208914	-0.4615408204	1.384270446
35	-40	1.92782687462508	1.411253090	-0.3920078546	1.301404284
40	-40	1.87818329962244	1.515564142	-0.3155641424	1.210302215
45	-40	1.82702470504591	1.611050999	-0.2322824834	1.111050999

-45	-35	2.47603117459540	-1.069029446	-0.3986462457	1.569029446
-40	-35	2.45087728540395	-0.8882871339	-0.4584906967	1.654496179
-35	-35	2.42217676711826	-0.7051366403	-0.5051366403	1.721113491
-30	-35	2.39067213004497	-0.5220961445	-0.5395931263	1.770322453
-25	-35	2.35695215117042	-0.3410334594	-0.5628957682	1.803602074
-20	-35	2.32146510825998	-0.1632850708	-0.5760307377	1.822360755
-15	-35	2.28454085250355	0.01022262296	-0.5798911926	1.827874056
-10	-35	2.24641215269113	0.1788639194	-0.5752552304	1.821253215
-5	-35	2.20723384839322	0.3422199040	-0.5627786061	1.803434749
0	-35	2.16709992940069	0.5000000000	-0.5429974547	1.775184337
5	-35	2.12605937177853	0.6519774862	-0.5163379480	1.737110616
10	-35	2.08413226085585	0.7979373419	-0.4831313160	1.689686631
15	-35	2.04131810036409	0.9376334193	-0.4436280752	1.633270156
20	-35	1.99760875906759	1.070753384	-0.3980178722	1.568132036
25	-35	1.95299959675881	1.196890688	-0.3464509960	1.494486904
30	-35	1.90750222299114	1.315524071	-0.2890635417	1.412529126
35	-35	1.86115990471278	1.426006733	-0.2260067329	1.322474670
40	-35	1.81405833286586	1.527564235	-0.1574765103	1.224603369
45	-35	1.76634607038998	1.619311027	-0.08375001848	1.119311027

-45	-30	2.42705776559722	-1.088882275	-0.2173416093	1.588882275
-40	-30	2.39941856138459	-0.9105195157	-0.2705210107	1.680991700
-35	-30	2.36834728607325	-0.7280174181	-0.3125514911	1.753790628
-30	-30	2.33455767732866	-0.5440459328	-0.3440459328	1.808340601
-25	-30	2.29863866990193	-0.3607334832	-0.3657013660	1.845848912
-20	-30	2.26105976857491	-0.1797346620	-0.3782337486	1.867555635
-15	-30	2.22218592355943	-0.002313182392	-0.3823344845	1.874658318
-10	-30	2.18229373180108	0.1705744985	-0.3786432184	1.868264858
-5	-30	2.14158749515159	0.3382012270	-0.3677333652	1.849368437
0	-30	2.10021465032579	0.5000000000	-0.3501073252	1.818839241
5	-30	2.05828066925308	0.6555048708	-0.3261989998	1.777428806
10	-30	2.01586397986775	0.8043023003	-0.2963819167	1.725784103
15	-30	1.97302360453770	0.9459913796	-0.2609778657	1.664462488
20	-30	1.92981330945970	1.080153172	-0.2202719307	1.593957741
25	-30	1.88629021345838	1.206328127	-0.1745272075	1.514725556
30	-30	1.84252347956176	1.324001550	-0.1240015501	1.427212550
35	-30	1.79860903977716	1.432601077	-0.06896841769	1.331892369
40	-30	1.75467313216226	1.531500188	-0.009733253300	1.229294055
45	-30	1.71088677364744	1.620038307	0.05334558222	1.120038307

-45	-25	2.37787284294155	-1.096843706	-0.04462044907	1.596843706
-40	-25	2.34740608642814	-0.9209475784	-0.08965442604	1.693419381
-35	-25	2.31371436023211	-0.7397282113	-0.1256048777	1.770515374
-30	-25	2.27749114767091	-0.5558968918	-0.1528147178	1.828867064
-25	-25	2.23932692930538	-0.3717288162	-0.1717288162	1.869428479
-20	-25	2.19971083050581	-0.1890931007	-0.1828452433	1.893267734
-15	-25	2.15903972992673	-0.009502439730	-0.1866788787	1.901488992
-10	-25	2.11762966589584	0.1658291292	-0.1837356345	1.895177184
-5	-25	2.07572883942432	0.3359269898	-0.1744961697	1.875363088
0	-25	2.03353070614570	0.5000000000	-0.1594072122	1.843004714
5	-25	1.99118743456458	0.6573905560	-0.1388792176	1.798982288
10	-25	1.94882311569866	0.8075324869	-0.1132887730	1.744103402
15	-25	1.90654003328305	0.9499161293	-0.08298178375	1.679109854
20	-25	1.86443192480101	1.084061850	-0.04828238034	1.604696743
25	-25	1.82259165249469	1.209501432	-0.009501432239	1.521530732
30	-25	1.78111615123883	1.325766111	0.03305467754	1.430268860
35	-25	1.74011915400732	1.432385969	0.07907164082	1.331585163
40	-25	1.69972963463738	1.528891730	0.1282203506	1.226185415
45	-25	1.66010358706742	1.614830834	0.1801458446	1.114830834

-45	-20	2.32871602270451	-1.094683957	0.1195825065	1.594683957
-40	-20	2.29519068646264	-0.9211157225	0.08357281637	1.693619768
-35	-20	2.25872615273311	-0.7415452590	0.05464059711	1.773110387
-30	-20	2.22000313065399	-0.5586550301	0.03260805461	1.833644300
-25	-20	2.17961662200097	-0.3747805122	0.01720171782	1.875972862
-20	-20	2.13807403003210	-0.1919140612	0.008085938850	1.901018259
-15	-20	2.09579984161597	-0.01172911064	0.004889995790	1.909799041
-10	-20	2.05314323497570	0.1643840480	0.007229011725	1.903372647
-5	-20	2.01038783371980	0.3352768229	0.01471883401	1.882794530
0	-20	1.96776262985759	0.5000000000	0.02698554331	1.849092023
5	-20	1.92545347234280	0.6577639936	0.04367042097	1.803250698
10	-20	1.88361442787118	0.8079040170	0.06443137211	1.746210454
15	-20	1.84237297041304	0.9498501540	0.08894361103	1.678863631
20	-20	1.80184140124713	1.083103945	0.1168960551	1.602064922
25	-20	1.76212376326762	1.207221404	0.1479877487	1.516641196
30	-20	1.72331934584597	1.321800956	0.1819244014	1.423401009
35	-20	1.68553341736575	1.426480627	0.2184122526	1.323151461
40	-20	1.64887386413622	1.520935030	0.2571563277	1.216702990
45	-20	1.61345996140465	1.604882988	0.2978554802	1.104882988

-45	-15	2.27968937211360	-1.083806419	0.2756203491	1.583806419
-40	-15	2.24298151381566	-0.9123157740	0.2490060333	1.683132398
-35	-15	2.20369045534108	-0.7345955652	0.2275559508	1.763185196
-30	-15	2.16249036974924	-0.5532592592	0.2111806766	1.824298550
-25	-15	2.11998213680142	-0.3706386260	0.1997145926	1.867090559
-20	-15	2.07668797717600	-0.1887712080	0.1929374120	1.892383341
-15	-15	2.03305312693496	-0.009407498439	0.1905925016	1.901134666
-10	-15	1.98945035131771	0.1659694598	0.1924020525	1.894381330
-5	-15	1.94618723545543	0.3361166140	0.1980787320	1.873195674
0	-15	1.90351484069299	0.5000000000	0.2073341066	1.838654145
5	-15	1.86163759109487	0.6567636795	0.2198840670	1.791817055
10	-15	1.82072273993642	0.8057010193	0.2354520282	1.733716633
15	-15	1.78090493751977	0.9462285403	0.2537714597	1.665347584
20	-15	1.74229736631220	1.077864501	0.2745851946	1.587669668
25	-15	1.70499572074587	1.200211151	0.2976454405	1.501607659
30	-15	1.66908297500924	1.312941007	0.3227127659	1.408055127
35	-15	1.63463918893085	1.415790277	0.3495535225	1.307884059
40	-15	1.60173802481829	1.508550389	0.3779401966	1.201943549
45	-15	1.57045398106535	1.591067549	0.4076493313	1.091067549

-45	-10	2.23079919776484	-1.065293446	0.4239965327	1.565293446
-40	-10	2.19088338966211	-0.8955988470	0.4067312130	1.663209940
-35	-10	2.14880753055549	-0.7198465180	0.3928169982	1.742121373
-30	-10	2.10524264553460	-0.5405591464	0.3822056517	1.802301310
-25	-10	2.06079308503602	-0.3600164202	0.3747981808	1.844311165
-20	-10	2.01598880626510	-0.1802343518	0.3704574766	1.868928522
-15	-10	1.97128509769087	-0.002963177123	0.3690194226	1.877084131
-10	-10	1.92706534483140	0.1703024953	0.3703024953	1.869807464
-5	-10	1.88364636904991	0.3383050026	0.3741155993	1.848182277
0	-10	1.84128574432373	0.5000000000	0.3802640859	1.813312477
5	-10	1.80019032000256	0.6545310064	0.3885540974	1.766297485
10	-10	1.76052438015392	0.8012043658	0.3987956342	1.708214844
15	-10	1.72241443921227	0.9394651183	0.4108050346	1.640106150
20	-10	1.68596012352541	1.068876170	0.4244054373	1.562974433
25	-10	1.65123608110555	1.189098849	0.4394279992	1.477777251
30	-10	1.61830018907633	1.299877899	0.4557114592	1.385429160
35	-10	1.58719829416020	1.401029192	0.4731019044	1.286803044
40	-10	1.55796663999264	1.492429107	0.4914526219	1.182730954
45	-10	1.53063545872796	1.574006865	0.5106236123	1.074006865

-45	-5	2.18198436313620	-1.039951953	0.5652716617	1.539951953
-40	-5	2.13892593572192	-0.8717976842	0.5569696118	1.634844818
-35	-5	2.09419795288088	-0.6981097398	0.5503000694	1.711078037
-30	-5	2.04846754805018	-0.5213064624	0.5452365190	1.768954683
-25	-5	2.00233491028638	-0.3435756040	0.5417283077	1.809053721
-20	-5	1.95632610155810	-0.1668531362	0.5397064261	1.832163934
-15	-5	1.91089182144098	0.007181411626	0.5390887494	1.839224011
-10	-5	1.86640954873923	0.1770976935	0.5397846369	1.831269980
-5	-5	1.82318820961179	0.3416987778	0.5416987778	1.809391249
0	-5	1.78147492937649	0.5000000000	0.5447342293	1.774695879
5	-5	1.74146304513443	0.6512053045	0.5487946955	1.728284539
10	-5	1.70329978637331	0.7946831418	0.5537862207	1.671231145
15	-5	1.66709260565473	0.9299428232	0.5596184498	1.604568461
20	-5	1.63291738572614	1.056612765	0.5662052490	1.529281002
25	-5	1.60082202514314	1.174419848	0.5734653181	1.446298032
30	-5	1.57083554225012	1.283173008	0.5813220268	1.356495440
35	-5	1.54297097905452	1.382747763	0.5897035267	1.260694458
40	-5	1.51723027299665	1.473073887	0.5985425202	1.159664301
45	-5	1.49360769271038	1.554124916	0.6077760199	1.054124916

-45	0	2.13313852113318	-1.008356714	0.7000000000	1.508356714
-40	0	2.08708818676227	-0.8415544268	0.7000000000	1.598802308
-35	0	2.03992702496685	-0.6700540734	0.7000000000	1.671010393
-30	0	1.99231292471004	-0.4961564624	0.7000000000	1.725393605
-25	0	1.94482856524403	-0.3219200676	0.7000000000	1.762613273
-20	0	1.89797939724269	-0.1491471855	0.7000000000	1.783517234
-15	0	1.85219311217783	0.02061714736	0.7000000000	1.789081162
-10	0	1.80782210310909	0.1860749862	0.7000000000	1.780357223
-5	0	1.76514871510184	0.3461571527	0.7000000000	1.758431791
0	0	1.72439260369873	0.5000000000	0.7000000000	1.724392604
5	0	1.68571923258252	0.6469201118	0.7000000000	1.679304562
10	0	1.64924837298488	0.7863889745	0.7000000000	1.624192584
15	0	1.61505971462342	0.9180082131	0.7000000000	1.560027889
20	0	1.58320148390522	1.041486798	0.7000000000	1.487722752
25	0	1.55369510150833	1.156619923	0.7000000000	1.408125969
30	0	1.52654295522476	1.263271478	0.7000000000	1.322024979
35	0	1.50173199829238	1.361358088	0.7000000000	1.230146836
40	0	1.47923865170877	1.450836277	0.7000000000	1.133162549
45	0	1.45903278467634	1.531691976	0.7000000000	1.031691976

-45	5	2.08412761268233	-0.9708888120	0.8286860964	1.470888812
-40	5	2.03531882052388	-0.8053493802	0.8361021605	1.555654813
-35	5	1.98602705144108	-0.6362241810	0.8419675305	1.622696299
-30	5	1.93688717572627	-0.4656757274	0.8463334882	1.672599423
-25	5	1.88844832039474	-0.2955956440	0.8492696901	1.706160365
-20	5	1.84117348500843	-0.1276010486	0.8508584269	1.724319710
-15	5	1.79544557487258	0.03695497370	0.8511898212	1.728107564
-10	5	1.75157122273932	0.1969655517	0.8503574710	1.718593757
-5	5	1.70978744099982	0.3515449803	0.8484550197	1.696848640
0	5	1.67027092170563	0.5000000000	0.8455737028	1.663915037
5	5	1.63314796780454	0.6418006753	0.8418006753	1.620789135
10	5	1.59850225084451	0.7765524127	0.8372178034	1.568406670
15	5	1.56638175067497	0.9039695155	0.8319009499	1.507634756
20	5	1.53680796744946	1.023851935	0.8259199278	1.439271361
25	5	1.50977930935622	1.136063920	0.8193383410	1.364043479
30	5	1.48527943367332	1.240517215	0.8122141357	1.282613441
35	5	1.46327912072391	1.337155324	0.8045998458	1.195581708
40	5	1.44374171811133	1.425942087	0.7965432861	1.103494809
45	5	1.42662630235989	1.506852294	0.7880881615	1.006852294

-45	10	2.03480023189115	-0.9277660988	0.9517536854	1.427766099
-40	10	1.98354874773344	-0.7635261002	0.9655152428	1.505811769
-35	10	1.93251031654134	-0.5970577621	0.9762622113	1.566760856
-30	10	1.88227527534968	-0.4303529728	0.9841365796	1.611418618
-25	10	1.83333593482039	-0.2650933125	0.9893081239	1.640747903
-20	10	1.78609087484001	-0.1026622592	0.9919623820	1.655800949
-15	10	1.74085379954905	0.05583017446	0.9922909509	1.657664356
-10	10	1.69786495830653	0.2095159012	0.9904840988	1.647417189
-5	10	1.65729927625840	0.3577349727	0.9867247219	1.626096703
0	10	1.61927736750636	0.5000000000	0.9811845640	1.594676906
5	10	1.58387696911519	0.6359623476	0.9740221335	1.554056744
10	10	1.55114122857515	0.7653814485	0.9653814485	1.505052984
15	10	1.52108656377547	0.8880973542	0.9553918303	1.448399044
20	10	1.49371109790932	1.004007561	0.9441686793	1.384749392
25	10	1.46899703402695	1.113046297	0.9318139125	1.314682027
30	10	1.44691931071223	1.215169402	0.9184179483	1.238709739
35	10	1.42744416559830	1.310339116	0.9040604277	1.157284194
40	10	1.41053673191334	1.398515843	0.8888126033	1.070809484
45	10	1.39615939195519	1.479648526	0.8727384668	0.9796485262

-45	15	1.98499947068845	-0.8790716146	1.069521125	1.379071615
-40	15	1.93170620651374	-0.7163181593	1.088406163	1.449551536
-35	15	1.87938439277981	-0.5529063331	1.102916830	1.503706081
-30	15	1.82855173944697	-0.3906116196	1.113334291	1.542584575
-25	15	1.77961567908085	-0.2308562288	1.119963800	1.567326241
-20	15	1.73288457895159	-0.07474257944	1.123116496	1.579092259
-15	15	1.68858167625588	0.07690423520	1.123095765	1.579014891
-10	15	1.64686150908458	0.2234904409	1.120188180	1.568163635
-5	15	1.60782297847605	0.3646093916	1.114657199	1.547521735
0	15	1.57152111042376	0.5000000000	1.106739593	1.517972827
5	15	1.53797992222780	0.6295093055	1.096644690	1.480298136
10	15	1.50720117665578	0.7530604611	1.084554570	1.435177192
15	15	1.47917204351154	0.8706254994	1.070625499	1.383193194
20	15	1.45387158414636	0.9822028626	1.054990204	1.324841476
25	15	1.43127484484034	1.087798898	1.037760355	1.260538805
30	15	1.41135707651279	1.187413424	1.019029680	1.190634976
35	15	1.39409407472636	1.281027280	0.9988765723	1.115422553
40	15	1.37946608098046	1.368594633	0.9773678142	1.035150775
45	15	1.36745493886194	1.450034657	0.9545610190	0.9500346566

-45	20	1.93457302049724	-0.8247783457	1.182179885	1.324778346
-40	20	1.87972967547677	-0.6638742749	1.204845404	1.387051348
-35	20	1.82666630622623	-0.5040565960	1.221911997	1.433941426
-30	20	1.77579339262005	-0.3468243047	1.233850692	1.466742721
-25	20	1.72740300101482	-0.1932863636	1.241135441	1.486757405
-20	20	1.68168776904434	-0.04422035791	1.244220358	1.495233145
-15	20	1.63876116535844	0.09986551338	1.243524843	1.493322234
-10	20	1.59867766602533	0.2386730172	1.239425349	1.482058967
-5	20	1.56145092584485	0.3720609262	1.232251983	1.462350305
0	20	1.52706555238334	0.5000000000	1.222287179	1.434972231
5	20	1.49549056915605	0.6225345447	1.209768068	1.400576255
10	20	1.46668729308966	0.7397512477	1.194889196	1.359696892
15	20	1.44061742989757	0.8517539517	1.177806882	1.312763619
20	20	1.41724724000392	0.9586432835	1.158643283	1.260112065
25	20	1.39655168577373	1.060500497	1.137491200	1.201997194
30	20	1.37851572849140	1.157374123	1.114418467	1.138605380
35	20	1.36313671278424	1.249270079	1.089473108	1.070068570
40	20	1.35042197331662	1.336142247	1.062687431	0.9964755270
45	20	1.34038914323462	1.417886527	1.034083374	0.9178865274

-45	25	1.88338452420902	-0.7647735697	1.289773601	1.264773570
-40	25	1.82757830175889	-0.6062819413	1.314787234	1.318415478
-35	25	1.77439048431762	-0.4507491413	1.333157430	1.357810491
-30	25	1.72408677705213	-0.2993259912	1.345590469	1.384473229
-25	25	1.67681131459285	-0.1527518260	1.352751826	1.399830808
-20	25	1.63261854970528	-0.01144276014	1.355244999	1.405177435
-15	25	1.59149771792725	0.1244293429	1.353599557	1.401648774
-10	25	1.55339567424072	0.2548676270	1.348267794	1.390214770
-5	25	1.51823700508692	0.3799931326	1.339627113	1.371684771
0	25	1.48593591952282	0.5000000000	1.327983655	1.346715295
5	25	1.45640866228259	0.6151197347	1.313579082	1.315824589
10	25	1.42958010853635	0.7255937558	1.296596707	1.279405766
15	25	1.40539071271752	0.8316520706	1.277168750	1.237742378
20	25	1.38379844451559	0.9334960521	1.255382034	1.191020615
25	25	1.36478419763970	1.031285404	1.231285404	1.139345226
30	25	1.34835035100086	1.125126006	1.204894618	1.082750003
35	25	1.33452318351115	1.215060626	1.176199166	1.021212408
40	25	1.32334873596277	1.301058322	1.145167197	0.9546641337
45	25	1.31489425444300	1.383007946	1.111753367	0.8830079458

-45	30	1.83132746377784	-0.6988852464	1.392176720	1.198885246
-40	30	1.77524891426696	-0.5435958441	1.418055782	1.243709096
-35	30	1.72262616226981	-0.3932030131	1.436483074	1.275626103
-30	30	1.67354030990752	-0.2484299792	1.448429979	1.296318750
-25	30	1.62796191726394	-0.1095961710	1.454760312	1.307283207
-20	30	1.58578897676354	0.02326968572	1.456216716	1.309805774
-15	30	1.54687959788710	0.1503361823	1.453420816	1.304963133
-10	30	1.51107258183366	0.2718978725	1.446878465	1.293631449
-5	30	1.47820656890082	0.3883202253	1.436990890	1.276505666
0	30	1.44813023328076	0.5000000000	1.424065117	1.254117570
5	30	1.42071238671293	0.6073360399	1.408325960	1.226856550
10	30	1.39584607059745	0.7107082494	1.389925410	1.194985864
15	30	1.37345488324539	0.8104620932	1.368952839	1.158660306
20	30	1.35349293575694	0.9068959503	1.345441479	1.117937435
25	30	1.33595029178577	1.000251372	1.319377055	1.072792529
30	30	1.32084989646949	1.090702031	1.290702031	1.023125930
35	30	1.30825074611608	1.178344225	1.259323057	0.9687759523
40	30	1.29824611230027	1.263185510	1.225116855	0.9095290729
45	30	1.29096230979380	1.345133215	1.187937889	0.8451332149

-45	35	1.77834100367826	-0.6269120633	1.489072322	1.126912063
-40	35	1.72278519944167	-0.4758630271	1.514333152	1.162988268
-35	35	1.67148264323620	-0.3316341748	1.531634175	1.187696689
-30	35	1.62429106836802	-0.1944413739	1.542215048	1.202807742
-25	35	1.58098728294522	-0.06414518352	1.547120358	1.209813250
-20	35	1.54130781087700	0.05962014815	1.547204697	1.209933699
-15	35	1.50498081998382	0.1773506774	1.543150471	1.204143665
-10	35	1.47174458408574	0.2896066014	1.535487814	1.193200256
-5	35	1.44136087073799	0.3969669405	1.524615694	1.177673259
0	35	1.41362253847615	0.5000000000	1.510820578	1.157971792
5	35	1.38835941073543	0.5992443466	1.494293075	1.134368072
10	35	1.36543910051978	0.6951964872	1.475139750	1.107014289
15	35	1.34477209988776	0.7883025493	1.453395136	1.075959762
20	35	1.32631037558897	0.8789511495	1.429027889	1.041159726
25	35	1.31005166083457	0.9674669699	1.401948361	1.002486152
30	35	1.29603968097636	1.054102398	1.372012636	0.9597335066
35	35	1.28436636256277	1.139027252	1.339027252	0.9126254960
40	35	1.27517376526548	1.222315777	1.302754349	0.8608224227
45	35	1.26865209605444	1.303928689	1.262916928	0.8039286887

-45	40	1.72443667938862	-0.5486651274	1.579934522	1.048665127
-40	40	1.67029993334399	-0.4031582379	1.603158238	1.076342075
-35	40	1.62112160326078	-0.2662783881	1.618276193	1.094358953
-30	40	1.57650845957300	-0.1376688953	1.626764502	1.104474925
-25	40	1.53603549751648	-0.01671384690	1.629803298	1.108096421
-20	40	1.49928421913903	0.09733212838	1.628313446	1.106320885
-15	40	1.46586544624864	0.2052599550	1.622996859	1.099984823
-10	40	1.43543242884927	0.3078548912	1.614374472	1.089709062
-5	40	1.40768540156043	0.4058678068	1.602817410	1.075935892
0	40	1.38237427505161	0.5000000000	1.588573056	1.058960132
5	40	1.35929954911127	0.5908966220	1.571785199	1.038953143
10	40	1.33831042688910	0.6791444845	1.552507485	1.015978858
15	40	1.31930697561236	0.7652716853	1.530714850	0.9900074072
20	40	1.30223951013678	0.8497469027	1.506309059	0.9609217176
25	40	1.28711128449005	0.9329771182	1.479122826	0.9285224265
30	40	1.27398149425685	1.015302260	1.448921338	0.8925296956
35	40	1.26296872913916	1.096985223	1.415402296	0.8525832564
40	40	1.25425713495586	1.178197156	1.378197156	0.8082438968
45	40	1.24810002397276	1.258995089	1.336872499	0.7589950888

-45	45	1.66972120959160	-0.4640139898	1.664013990	0.9640139898
-40	45	1.61799025908015	-0.3256177230	1.683932887	0.9839328874
-35	45	1.57176726824582	-0.1974129511	1.696008916	0.9960089159
-30	45	1.53040001547930	-0.07843683534	1.701881988	1.001881988
-25	45	1.49327183682409	0.03238847526	1.702796151	1.002796151
-20	45	1.45982950665728	0.1361468831	1.699678223	0.9996782227
-15	45	1.42959066532709	0.2338719937	1.693203241	0.9932032407
-10	45	1.40214544510195	0.3265209146	1.683848783	0.9838487831
-5	45	1.37715238787081	0.4149666442	1.671935705	0.9719357046
0	45	1.35433412240424	0.5000000000	1.657658842	0.9576588419
5	45	1.33347325229882	0.5823363533	1.641108825	0.9411088246
10	45	1.31440738894193	0.6626237795	1.622285284	0.9222852841
15	45	1.29702898192126	0.7414507491	1.601106463	0.9011064631
20	45	1.28128493117571	0.8193520296	1.577412490	0.8774124902
25	45	1.26717802825137	0.8968112405	1.550964451	0.8509644513
30	45	1.25477392043861	0.9742599636	1.521442353	0.8214423529
35	45	1.24420709616497	1.052070373	1.488438203	0.7884382033
40	45	1.23569116415783	1.130540585	1.451449008	0.7514490080
45	45	1.22953109106510	1.209870106	1.409870106	0.7098701064


### +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	1.89342016438472	1.593166642	-0.3931666416	1.093166642
45	-40	1.82702489857202	1.611051117	-0.2322825821	1.111051117
45	-35	1.76634620803337	1.619311114	-0.08375007956	1.119311114
45	-30	1.71088689837671	1.620038388	0.05334553508	1.120038388
45	-25	1.66010363838276	1.614830868	0.1801458285	1.114830868
45	-20	1.61346001890770	1.604883027	0.2978554659	1.104883027
45	-15	1.57045401051911	1.591067570	0.4076493259	1.091067570
45	-10	1.53063548529986	1.574006883	0.5106236090	1.074006883
45	-5	1.49360770899294	1.554124928	0.6077760189	1.054124928
45	0	1.45903279548994	1.531691984	0.7000000000	1.031691984
45	5	1.42662630885034	1.506852298	0.7880881619	1.006852298
45	10	1.39615939899023	1.479648531	0.8727384677	0.9796485312
45	15	1.36745494966025	1.450034664	0.9545610210	0.9500346641
45	20	1.34038915828124	1.417886538	1.034083378	0.9178865377
45	25	1.31489428312639	1.383007965	1.111753376	0.8830079651
45	30	1.29096234082661	1.345133235	1.187937901	0.8451332352
45	35	1.26865210997191	1.303928698	1.262916934	0.8039286975
45	40	1.24810004324742	1.258995101	1.336872509	0.7589951005
45	45	1.22953113158161	1.209870130	1.409870130	0.7098701298

50	-45	1.90680576216559	1.659567487	-0.4595674874	0.9729926510
50	-40	1.83711247330240	1.683836155	-0.2933564812	0.9933564812
50	-35	1.77267868739062	1.696669508	-0.1379170103	1.004124943
50	-30	1.71325545907178	1.700277540	0.007019439454	1.007152441
50	-25	1.65849221508503	1.696436730	0.1420923905	1.003929619
50	-20	1.60799536259348	1.686538769	0.2681352061	0.9956242438
50	-15	1.56136618161283	1.671648535	0.3860577212	0.9831298536
50	-10	1.51822685490534	1.652562481	0.4967721376	0.9671147530
50	-5	1.47823148071314	1.629856362	0.6011503769	0.9480620568
50	0	1.44107912494185	1.603930656	0.7000000000	0.9263078061
50	5	1.40651258787740	1.575039476	0.7940537670	0.9020652275
50	10	1.37432547795883	1.543319698	0.8839654122	0.8754491734
50	15	1.34435938418726	1.508806724	0.9703089471	0.8464893502
50	20	1.31650855759195	1.471450839	1.053579189	0.8151440405
50	25	1.29072217408329	1.431127323	1.134191802	0.7813085935
50	30	1.26700687446153	1.387643396	1.212481154	0.7448212462
50	35	1.24543166162249	1.340744634	1.288695730	0.7054685121
50	40	1.22613464594977	1.290121751	1.362990870	0.6629908702
50	45	1.20932628242013	1.235415986	1.435415986	0.6170872822

55	-45	1.91835099197003	1.715634611	-0.5156346111	0.8511965184
55	-40	1.84605578371254	1.746203659	-0.3456890307	0.8726011962
55	-35	1.77850965230887	1.763746312	-0.1848846939	0.8848846939
55	-30	1.71568758057459	1.770487997	-0.03351658693	0.8896052725
55	-25	1.65742941753580	1.768308792	0.1085778975	0.8880793768
55	-20	1.60349342191320	1.758749689	0.2418525809	0.8813860208
55	-15	1.55360016550411	1.743044278	0.3669272895	0.8703889740
55	-10	1.50745981037313	1.722155971	0.4845009276	0.8557628241
55	-5	1.46479174744716	1.696817609	0.5952920269	0.8380207119
55	0	1.42534289752972	1.667572548	0.7000000000	0.8175430997
55	5	1.38888991074169	1.634801521	0.7992822684	0.7945965792
55	10	1.35525095012935	1.598754362	0.8937400391	0.7693560866
55	15	1.32428525890835	1.559568125	0.9839104233	0.7419175882
55	20	1.29589885524308	1.517286543	1.070262022	0.7123117063
55	25	1.27004654282413	1.471873179	1.153191906	0.6805129258
55	30	1.24673403269132	1.423222061	1.233022505	0.6464470464
55	35	1.22602102246428	1.371167353	1.309997947	0.6099979473
55	40	1.20802443608274	1.315492406	1.384279377	0.5710139300
55	45	1.19291732496057	1.255936528	1.455936528	0.5293124553

60	-45	1.92811539317006	1.762247820	-0.5622478197	0.7287591185
60	-40	1.85380017197141	1.798740767	-0.3897728987	0.7498283315
60	-35	1.78372138304248	1.820867874	-0.2248816422	0.7626034225
60	-30	1.71804319326390	1.830790535	-0.06833227368	0.7683322737
60	-25	1.65677975725916	1.830424460	0.07961288562	0.7681209202
60	-20	1.59983999550014	1.821411420	0.2190455760	0.7629172388
60	-15	1.54706846154809	1.805122460	0.3502934907	0.7535128038
60	-10	1.49827211813383	1.782672953	0.4738301510	0.7405515747
60	-5	1.45324507027492	1.754950158	0.5902060879	0.7245458114
60	0	1.41178788582147	1.722644174	0.7000000000	0.7058939429
60	5	1.37371536158090	1.686272257	0.8037853744	0.6848946070
60	10	1.33887122735355	1.646209617	0.9021076811	0.6617644310
60	15	1.30712904781956	1.602707166	0.9954694946	0.6366482792
60	20	1.27839976107243	1.555913121	1.084320946	0.6096317248
60	25	1.25263384515856	1.505887898	1.169053230	0.5807496486
60	30	1.22982326051378	1.452617001	1.249993682	0.5499936822
60	35	1.21000482641478	1.396023627	1.327402498	0.5173194820
60	40	1.19325964560849	1.335977346	1.401468283	0.4826517457
60	45	1.17971139810433	1.272302397	1.472302397	0.4458889969

65	-45	1.93618045956979	1.800228307	-0.6002283070	0.6063064169
65	-40	1.86032486430183	1.842038857	-0.4261043099	0.6258029965
65	-35	1.78822842220189	1.868399647	-0.2581637480	0.6380952347
65	-30	1.72020690186269	1.881357618	-0.09752719253	0.6441376359
65	-25	1.65642524413232	1.882812168	0.05518409650	0.6448159035
65	-20	1.59693187062879	1.874462289	0.1997366385	0.6409222914
65	-15	1.54169084835538	1.857783340	0.3361830504	0.6331447698
65	-10	1.49060676929503	1.834021706	0.4647759804	0.6220645377
65	-5	1.44355121913013	1.804208247	0.5858965635	0.6081622936
65	0	1.40038111365683	1.769176308	0.7000000000	0.5918266320
65	5	1.36095025298490	1.729580579	0.8075743616	0.5733628405
65	10	1.32512610589071	1.685924434	0.9091104747	0.5530056454
65	15	1.29279348055313	1.638576812	1.005080737	0.5309270866
65	20	1.26386253092727	1.587793048	1.095924291	0.5072462290
65	25	1.23827213454803	1.533730789	1.182036583	0.4820365833
65	30	1.21599215218678	1.476463948	1.263761723	0.4553326168
65	35	1.19702794574600	1.415997418	1.341388297	0.4271366110
65	40	1.18141823664046	1.352275433	1.415144002	0.3974225614
65	45	1.16923432888601	1.285191052	1.485191052	0.3661406007

70	-45	1.94263338306576	1.830298010	-0.6302980100	0.4841888784
70	-40	1.86563124380070	1.876648124	-0.4551449335	0.5010589404
70	-35	1.79197262811335	1.906706730	-0.2849866563	0.5119993780
70	-30	1.72208834366401	1.922384244	-0.1212139263	0.5177055266
70	-25	1.65626763272768	1.925531949	0.03526353512	0.5188511975
70	-20	1.59467951857873	1.917871804	0.1839368673	0.5160631327
70	-15	1.53739576676592	1.900952945	0.3246157897	0.5099051716
70	-10	1.48441181384639	1.876128463	0.4573514231	0.5008697989
70	-5	1.43567366086692	1.844555747	0.5823666147	0.4893782701
70	0	1.39109212570953	1.807199005	0.7000000000	0.4757815282
70	5	1.35055812033193	1.764842235	0.8106593567	0.4603649246
70	10	1.31396072661021	1.718111267	0.9147858818	0.4433562431
70	15	1.28119150043809	1.667486632	1.012827100	0.4249303829
70	20	1.25215616371889	1.613325216	1.105217240	0.4052172396
70	25	1.22677788688847	1.555874689	1.192362454	0.3843069581
70	30	1.20500092823546	1.495288274	1.274629953	0.3622553061
70	35	1.18679626028424	1.431640506	1.352341705	0.3390894133
70	40	1.17216021522440	1.364936288	1.425767720	0.3148110632
70	45	1.16111480164603	1.295121058	1.495121058	0.2894003976

75	-45	1.94755665578078	1.853058347	-0.6530583466	0.3625508913
75	-40	1.86973272217480	1.903046659	-0.4772959342	0.3759452193
75	-35	1.79491339943924	1.936120361	-0.3055823028	0.3848072911
75	-30	1.72361605695336	1.954059781	-0.1395018062	0.3896141442
75	-25	1.65622497260429	1.958654748	0.01981812042	0.3908453618
75	-20	1.59300590726849	1.951627724	0.1716507173	0.3889624763
75	-15	1.53412044840340	1.934576169	0.3156064740	0.3843935260
75	-10	1.47964222099251	1.908935185	0.4515667129	0.3775230449
75	-5	1.42958097943617	1.875964685	0.5796186887	0.3686886261
75	0	1.38389544273601	1.836740349	0.7000000000	0.3581784970
75	5	1.34250873160710	1.792158073	0.8130491829	0.3462327122
75	10	1.30532783141539	1.742950683	0.9191657411	0.3330476317
75	15	1.27224878611892	1.689696540	1.018778227	0.3187782272
75	20	1.24317015174224	1.632839652	1.112319914	0.3035434699
75	25	1.21799866775975	1.572704234	1.200210199	0.2874302331
75	30	1.19665378855760	1.509509130	1.282840368	0.2704971561
75	35	1.17907433620190	1.443384044	1.360564619	0.2527789928
75	40	1.16521947525855	1.374380211	1.433692112	0.2342894714
75	45	1.15506947903524	1.302480582	1.502480582	0.2150240240

80	-45	1.95102034692822	1.868979945	-0.6689799449	0.2413881003
80	-40	1.87264522435957	1.921619318	-0.4928802456	0.2506698421
80	-35	1.79702728348621	1.956919521	-0.3201460314	0.2568942203
80	-30	1.72474071045878	1.976553046	-0.1524882988	0.2603561405
80	-25	1.65623722854701	1.982253039	0.008814056743	0.2613612030
80	-20	1.59185295432756	1.975732097	0.1628774430	0.2602113850
80	-15	1.53181666613327	1.958616392	0.3091649158	0.2571934244
80	-10	1.47626172475267	1.932398336	0.4474295263	0.2525704737
80	-5	1.42524788263404	1.898414225	0.5776546084	0.2465781580
80	0	1.37877046221977	1.857823841	0.7000000000	0.2394209782
80	5	1.33677743129005	1.811609439	0.8147509569	0.2312721322
80	10	1.29918931880610	1.760587189	0.9222755330	0.2222755330
80	15	1.26590486515606	1.705411605	1.022989066	0.2125465889
80	20	1.23681544837888	1.646593503	1.117325906	0.2021753705
80	25	1.21181376417314	1.584515312	1.205717795	0.1912293105
80	30	1.19079871514453	1.519444523	1.288576570	0.1797555747
80	35	1.17368350017210	1.451550608	1.366282908	0.1677840456
80	40	1.16039813314280	1.380916674	1.439176856	0.1553293774
80	45	1.15089155144703	1.307550498	1.507550498	0.1423929411

85	-45	1.95307717223815	1.878398973	-0.6783989733	0.1205942840
85	-40	1.87438517234039	1.932648431	-0.5021347704	0.1253404966
85	-35	1.79830022301384	1.969312875	-0.3288239511	0.1285482197
85	-30	1.72542837724727	1.989994123	-0.1602485081	0.1303575945
85	-25	1.65626143956048	1.996385996	0.002223750329	0.1309168109
85	-20	1.59117818093397	1.990190860	0.1576148836	0.1303748067
85	-15	1.53044883985534	1.973049506	0.3052975745	0.1288751326
85	-10	1.47424412173351	1.946487994	0.4449451394	0.1265513014
85	-5	1.42265525791247	1.911889327	0.5764756897	0.1235243103
85	0	1.37570203280396	1.870467071	0.7000000000	0.1199003325
85	5	1.33334658277032	1.823256495	0.8157699422	0.1157699422
85	10	1.29551811699507	1.771126928	0.9241339734	0.1112091961
85	15	1.26211677161683	1.714781206	1.025499643	0.1062795842
85	20	1.23302905812048	1.654772391	1.120302778	0.1010294932
85	25	1.20813788956526	1.591518873	1.208983609	0.09549552740
85	30	1.18732878103951	1.525318077	1.291967668	0.08970370826
85	35	1.17049860898832	1.456363490	1.369652925	0.08367096354
85	40	1.15755895500121	1.384756797	1.442399102	0.07740618970
85	45	1.14843941190623	1.310519793	1.510519793	0.07091129349

90	-45	1.95375853694595	1.881515910	-0.6815159103	0.000000000
90	-40	1.87496328527596	1.936305206	-0.5052031684	0.000000000
90	-35	1.79872465496317	1.973428978	-0.3317060776	0.000000000
90	-30	1.72565914027179	1.994464654	-0.1628295701	0.000000000
90	-25	1.65627175432709	2.001091988	2.931021607e-05	0.000000000
90	-20	1.59095554169798	1.995009183	0.1558611576	0.000000000
90	-15	1.52999474997182	1.977861443	0.3040082198	0.000000000
90	-10	1.47357280131539	1.951185919	0.4441167684	0.000000000
90	-5	1.42179175415069	1.916381407	0.5760826836	0.000000000
90	0	1.37467969309611	1.874679693	0.7000000000	0.000000000
90	5	1.33220364474249	1.827134208	0.8161091981	0.000000000
90	10	1.29429571831565	1.774632458	0.9247520928	0.000000000
90	15	1.26085647492941	1.717893832	1.026333669	0.000000000
90	20	1.23177070479159	1.657485842	1.121290393	0.000000000
90	25	1.20691788531720	1.593839078	1.210065539	0.000000000
90	30	1.18617886422510	1.527261030	1.293089432	0.000000000
90	35	1.16944486608513	1.457953153	1.370766019	0.000000000
90	40	1.15662117408434	1.386023223	1.443461760	0.000000000
90	45	1.14763084218814	1.311497551	1.511497551	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	1.22953116694506	1.209870150	1.409870150	0.7098701502
40	45	1.23569122347807	1.130540616	1.451449044	0.7514490441
35	45	1.24420713636184	1.052070391	1.488438229	0.7884382288
30	45	1.25477395456600	0.9742599765	1.521442375	0.8214423753
25	45	1.26717804632560	0.8968112461	1.550964463	0.8509644634
20	45	1.28128495422574	0.8193520354	1.577412506	0.8774125060
15	45	1.29702899490272	0.7414507515	1.601106472	0.9011064721
10	45	1.31440739838508	0.6626237807	1.622285291	0.9222852907
5	45	1.33347325903130	0.5823363537	1.641108829	0.9411088294
0	45	1.35433413216472	0.5000000000	1.657658849	0.9576588488
-5	45	1.37715240353462	0.4149666432	1.671935716	0.9719357157
-10	45	1.40214546899115	0.3265209116	1.683848800	0.9838487999
-15	45	1.42959070275230	0.2338719868	1.693203267	0.9932032667
-20	45	1.45982955923373	0.1361468700	1.699678259	0.9996782587
-25	45	1.49327191979840	0.03238844928	1.702796207	1.002796207
-30	45	1.53040017043007	-0.07843689391	1.701882089	1.001882089
-35	45	1.57176742261756	-0.1974130196	1.696009014	0.9960090138
-40	45	1.61799054052874	-0.3256178666	1.683933059	0.9839330586
-45	45	1.66972153908799	-0.4640141801	1.664014180	0.9640141801

45	50	1.20932633780155	1.235416019	1.435416019	0.6170873105
40	50	1.21327139140222	1.156035500	1.481832664	0.6560355000
35	50	1.21998399936674	1.076667025	1.523565863	0.6910538116
30	50	1.22917934909398	0.9971806101	1.561142077	0.7225839994
25	50	1.24064830645364	0.9173472294	1.595004022	0.7509975444
20	50	1.25425296465926	0.8368589926	1.625512476	0.7765971771
15	50	1.26991948089151	0.7553413929	1.652947052	0.7996175196
10	50	1.28763536709695	0.6723611872	1.677508868	0.8202273303
5	50	1.30744473334261	0.5874290805	1.699318963	0.8385281731
0	50	1.32944647938737	0.5000000000	1.718415088	0.8545517247
-5	50	1.35379448135324	0.4094715030	1.734745456	0.8682545306
-10	50	1.38069647964052	0.3151817739	1.748156246	0.8795075193
-15	50	1.41041715138314	0.2164088862	1.758376445	0.8880832849
-20	50	1.44327820540860	0.1123738543	1.764994082	0.8936361418
-25	50	1.47965790423541	0.002251263700	1.767425610	0.8956764354
-30	50	1.51998882536521	-0.1148077350	1.764878234	0.8935389333
-35	50	1.56474672321822	-0.2396308793	1.756302366	0.8863429257
-40	50	1.61443305997977	-0.3729501143	1.740341435	0.8729501143
-45	50	1.66953892598172	-0.5152806835	1.715280684	0.8519216471

45	55	1.19291734985908	1.255936544	1.455936544	0.5293124664
40	55	1.19479726112441	1.176786910	1.506563232	0.5647616548
35	55	1.19976019242848	1.096932060	1.552507332	0.5969320601
30	55	1.20756021749728	1.016274326	1.594213363	0.6261349377
25	55	1.21801202469401	0.9346243797	1.632054990	0.6526319301
20	55	1.23099114849390	0.8517167017	1.666333696	0.6766341384
15	55	1.24642994389197	0.7672192042	1.697275647	0.6982999256
10	55	1.26431689932274	0.6807405525	1.725030610	0.7177341597
5	55	1.28469377830029	0.5918339975	1.749667394	0.7349850220
0	55	1.30765387237404	0.5000000000	1.771167343	0.7500394481
-5	55	1.33334293798404	0.4046884059	1.789416506	0.7628176497
-10	55	1.36195575160798	0.3053014753	1.804190203	0.7731623041
-15	55	1.39373758944757	0.2011998537	1.815137327	0.7808275626
-20	55	1.42898046997897	0.09171412536	1.821756221	0.7854621622
-25	55	1.46801881308123	-0.02383453785	1.823366792	0.7865898957
-30	55	1.51122105859923	-0.1460999809	1.819077994	0.7835868470
-35	55	1.55897346694748	-0.2756560428	1.807751631	0.7756560428
-40	55	1.61165429700882	-0.4129134854	1.787967926	0.7618033431
-45	55	1.66959825672768	-0.5580031684	1.758003168	0.7408217939

45	60	1.17971141430413	1.272302408	1.472302408	0.4458890030
40	60	1.17974355942836	1.193522731	1.526508207	0.4771847355
35	60	1.18309082014810	1.113447252	1.576093470	0.5058128008
30	60	1.18955595530699	1.031985596	1.621426081	0.5319855958
25	60	1.19898933631541	0.9489658515	1.662810376	0.5558788296
20	60	1.21129166680447	0.8641464693	1.700484202	0.5776298233
15	60	1.22641222593312	0.7772238909	1.734613646	0.5973344671
10	60	1.24434873284378	0.6878391526	1.765288771	0.6150447589
5	60	1.26514723965580	0.5955829596	1.792518227	0.6307656926
0	60	1.28889948759178	0.5000000000	1.816219699	0.6444497438
-5	60	1.31574394977519	0.4005944156	1.836211029	0.6559917437
-10	60	1.34586054693817	0.2968372547	1.852193184	0.6652190449
-15	60	1.37947057926862	0.1881780911	1.863735207	0.6718828351
-20	60	1.41682961535377	0.07406336044	1.870251299	0.6756449027
-25	60	1.45822047593283	-0.04603588029	1.870977724	0.6760643042
-30	60	1.50393986764664	-0.1725823556	1.864946812	0.6725823556
-35	60	1.55428025977991	-0.3059135764	1.850963868	0.6645092989
-40	60	1.60950020139892	-0.4461589908	1.827588376	0.6510134527
-45	60	1.66979150786341	-0.5931351399	1.793135140	0.6311218673

45	65	1.16923433938210	1.285191059	1.485191059	0.3661406040
40	65	1.16767560467505	1.206825220	1.542361495	0.3927996160
35	65	1.16959694488760	1.126690292	1.595006492	0.4173483811
30	65	1.17485123970813	1.044687857	1.643427042	0.4399272548
25	65	1.18332958439640	0.9606484584	1.687863807	0.4606484584
20	65	1.19496420312694	0.8743408345	1.728492990	0.4795941576
15	65	1.20972753362567	0.7854783639	1.765419759	0.4968133926
10	65	1.22763304516647	0.6937256596	1.798672811	0.5123195456
5	65	1.24873615188398	0.5987045588	1.828198270	0.5260874932
0	65	1.27313020487111	0.5000000000	1.853847819	0.5380480742
-5	65	1.30094763385451	0.3971684594	1.875369887	0.5480839795
-10	65	1.33235283862867	0.2897491165	1.892392013	0.5560215274
-15	65	1.36754126985343	0.1772798556	1.904407976	0.5616246625
-20	65	1.40672851709745	0.05932075151	1.910756284	0.5645849276
-25	65	1.45014319324435	-0.06451409242	1.910604378	0.5645140924
-30	65	1.49800917078452	-0.1945112516	1.902928774	0.5609348996
-35	65	1.55052791029364	-0.3307996984	1.886504933	0.5532763368
-40	65	1.60784999948631	-0.4732745333	1.859903422	0.5408718482
-45	65	1.67004276707994	-0.6215054201	1.821505420	0.5229665661

45	70	1.16111480956074	1.295121063	1.495121063	0.2894003996
40	70	1.15824367208172	1.217150999	1.554667279	0.3110734498
35	70	1.15896547827139	1.137044067	1.609793215	0.3311376495
30	70	1.16317941453730	1.054686487	1.660745178	0.3496826476
25	70	1.17081654679569	0.9699025912	1.707709359	0.3667762114
20	70	1.18184158072884	0.8824623452	1.750806657	0.3824623452
15	70	1.19625293392906	0.7920877451	1.790086305	0.3967589678
10	70	1.21408301809255	0.6984594260	1.825519335	0.4096555359
5	70	1.23539915454118	0.6012236894	1.856992064	0.4211106727
0	70	1.26029853055731	0.5000000000	1.884293229	0.4310474841
-5	70	1.28890890430122	0.3943919347	1.907105710	0.4393505482
-10	70	1.32137932597471	0.2840014408	1.924988702	0.4458594247
-15	70	1.35787970943972	0.1684480253	1.937368815	0.4503654174
-20	70	1.39858798162384	0.04739514318	1.943521624	0.4526048568
-25	70	1.44368001767940	-0.07941526623	1.942560048	0.4522548719
-30	70	1.49331162338413	-0.2121169515	1.933422741	0.4489291639
-35	70	1.54760283752604	-0.3506648596	1.914875324	0.4421784562
-40	70	1.60661035344977	-0.4947666861	1.885516772	0.4314928172
-45	70	1.67030018571657	-0.6438066660	1.843806666	0.4163115802

45	75	1.15506948299527	1.302480585	1.502480585	0.2150240248
40	75	1.15117440967362	1.224848496	1.563840800	0.2314654446
35	75	1.15094642603534	1.144806239	1.620878744	0.2467487158
30	75	1.15432336908303	1.062222978	1.673798764	0.2609285924
25	75	1.16127117214528	0.9769132344	1.722743732	0.2740433570
20	75	1.17178394932630	0.8886433856	1.767788926	0.2861131804
15	75	1.18588482434123	0.7971386305	1.808936466	0.2971386305
10	75	1.20362474053416	0.7020896988	1.846107635	0.3070986151
5	75	1.22508377161230	0.6031611312	1.879137125	0.3159488403
0	75	1.25036360138227	0.5000000000	1.907758495	0.3236179133
-5	75	1.27958764614217	0.3922492388	1.931596837	0.3300053778
-10	75	1.31289339479261	0.2795639939	1.950154714	0.3349779460
-15	75	1.35042784210041	0.1616330091	1.962802802	0.3383669909
-20	75	1.39233489793200	0.03820689479	1.968766129	0.3399648597
-25	75	1.43874436062143	-0.09086649437	1.967117286	0.3395230536
-30	75	1.48975381906210	-0.2255972215	1.956771254	0.3367508424
-35	75	1.54541542669197	-0.3658035558	1.936495622	0.3313180035
-40	75	1.60571103677210	-0.5110520358	1.904924896	0.3228586528
-45	75	1.67052903166109	-0.6605943493	1.860594349	0.3109803186

45	80	1.15089155376776	1.307550500	1.507550500	0.1423929414
40	80	1.14626475802599	1.230173857	1.570187317	0.1534375023
35	80	1.14535062729370	1.150198752	1.628580052	0.1637337169
30	80	1.14811584575811	1.067479690	1.682903656	0.1733124340
25	80	1.15455312431547	0.9818216114	1.733269780	0.1821933406
20	80	1.16467984574080	0.8929859320	1.779719974	0.1903837631
15	80	1.17853929331430	0.8006981933	1.822220935	0.1978778292
10	80	1.19619811257057	0.7046549869	1.860656106	0.2046549869
5	80	1.21774679006950	0.6045331901	1.894819830	0.2106789732
0	80	1.24329098180773	0.5000000000	1.924402598	0.2158952133
-5	80	1.27295219095477	0.3907278964	1.948985859	0.2202299055
-10	80	1.30685850987227	0.2764123615	1.968028509	0.2235876385
-15	80	1.34513902731915	0.1567947479	1.980859438	0.2258500774
-20	80	1.38791081198632	0.03169154082	1.986666917	0.2268740926
-25	80	1.43526786339604	-0.09897033764	1.984496034	0.2264913074
-30	80	1.48726339379727	-0.2351102880	1.973248368	0.2245080404
-35	80	1.54389872929178	-0.3764486639	1.951698412	0.2207082018
-40	80	1.60510146098264	-0.5224541201	1.918513371	0.2148567836
-45	80	1.67070590670032	-0.6722906343	1.872290634	0.2067064681

45	85	1.14843941293512	1.310519794	1.510519794	0.07091129356
40	85	1.14337392840617	1.233301551	1.573914758	0.07645763425
35	85	1.14204554015172	1.153374665	1.633115725	0.08163704768
30	85	1.14443866460567	1.070583901	1.688280306	0.08646332316
25	85	1.15056277828518	0.9847274478	1.739501366	0.09094458527
20	85	1.16045012021116	0.8955627855	1.786799821	0.09508266387
15	85	1.17415706167889	0.8028148528	1.830120416	0.09887272482
10	85	1.19176057028136	0.7061831698	1.869322863	0.1023024945
5	85	1.21335827689991	0.6053517663	1.904176199	0.1053517663
0	85	1.23905780873705	0.5000000000	1.934342820	0.1079910036
-5	85	1.26898072189275	0.3898187262	1.959377722	0.1101812738
-10	85	1.30324894749110	0.2745285372	1.978712208	0.1118728221
-15	85	1.34198008991540	0.1539036244	1.991649258	0.1130046673
-20	85	1.38527405882335	0.02780144889	1.997354857	0.1135038425
-25	85	1.43320213423103	-0.1038022660	1.994858138	0.1132854079
-30	85	1.48579002733436	-0.2407717823	1.983054364	0.1122527115
-35	85	1.54300743119896	-0.3827686176	1.960724242	0.1102990790
-40	85	1.60474919680778	-0.5292040482	1.926557622	0.1073098871
-45	85	1.67081770065357	-0.6791922183	1.879192218	0.1031659512

45	90	1.14763084283585	1.311497551	1.511497551	0.000000000
40	90	1.14241916275416	1.234332883	1.575143851	0.000000000
35	90	1.14095222525388	1.154423311	1.634613348	0.000000000
30	90	1.14322042837086	1.071610214	1.690057933	0.000000000
25	90	1.14923895031814	0.9856893675	1.741564210	0.000000000
20	90	1.15904513332191	0.8964167826	1.789146159	0.000000000
15	90	1.17269988637842	0.8035170648	1.832741107	0.000000000
10	90	1.19028381463891	0.7066906153	1.872200729	0.000000000
5	90	1.21189695053517	0.6056237789	1.907285317	0.000000000
0	90	1.23764782288259	0.5000000000	1.937647823	0.000000000
-5	90	1.26765788099844	0.3895163358	1.962834060	0.000000000
-10	90	1.30204700386141	0.2739019105	1.982265984	0.000000000
-15	90	1.34092885163594	0.1529420751	1.995237809	0.000000000
-20	90	1.38439743553351	0.02650819068	2.000908054	0.000000000
-25	90	1.43251626476950	-0.1054075337	1.998300646	0.000000000
-30	90	1.48530169523377	-0.2426508476	1.986309000	0.000000000
-35	90	1.54271273340282	-0.3848636719	1.963716289	0.000000000
-40	90	1.60463328431351	-0.5314383932	1.929220411	0.000000000
-45	90	1.67085517483427	-0.6814730245	1.881473025	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	1.67085516827800	-0.6814730199	1.881473020	1.446887152e-16
-90	40	1.74106757382112	-0.8337351400	1.819136664	1.633354470e-16
-90	35	1.81485810022506	-0.9866447229	1.740959842	1.820614701e-16
-90	30	1.89169712170253	-1.138257764	1.645848561	2.006287126e-16
-90	25	1.97094620502641	-1.286283893	1.532957859	2.187566852e-16
-90	20	2.05186235420584	-1.428119913	1.401778256	2.361265880e-16
-90	15	2.13361405680680	-1.560912921	1.252219953	2.523890412e-16
-90	10	2.21530209332896	-1.681646677	1.084683171	2.671746620e-16
-90	5	2.29597621729123	-1.787239335	0.9001075125	2.801060330e-16
-90	-2.84217e-14	2.37465969582669	-1.874659696	0.7000000000	2.908119396e-16
-90	-5	2.45037170377551	-1.941047300	0.4864360341	2.989420762e-16
-90	-10	2.52213914917162	-1.983822188	0.2620351329	3.041804893e-16
-90	-15	2.58903531454890	-2.000816075	0.02990835215	3.062616402e-16
-90	-20	2.65018579042034	-1.990360031	-0.2064169239	3.049811441e-16
-90	-25	2.70478476305719	-1.951367493	-0.4430914349	3.002059354e-16
-90	-30	2.75210901644219	-1.883396322	-0.6760545082	2.918818677e-16
-90	-35	2.79152149901101	-1.786680543	-0.9011509534	2.800376007e-16
-90	-40	2.82250127679075	-1.662161419	-1.114268849	2.647884061e-16
-90	-45	2.84463791245693	-1.511462758	-1.311462758	2.463331428e-16

-85	45	1.67081769071706	-0.6791922113	1.879192211	0.1031659506
-85	40	1.74084644381971	-0.8305808026	1.816489861	0.1164107361
-85	35	1.81438359135724	-0.9824538956	1.738025393	0.1296979101
-85	30	1.89089906735673	-1.132886381	1.642747391	0.1428590471
-85	25	1.96976013558071	-1.279623321	1.529851983	0.1556968659
-85	20	2.05023473819032	-1.420112470	1.398863786	0.1679880738
-85	15	2.13150902152675	-1.551566984	1.249715717	0.1794888536
-85	10	2.21270630458610	-1.671046882	1.082814142	0.1899419902
-85	5	2.29290070416280	-1.775549199	0.8990847582	0.1990847582
-85	-2.84217e-14	2.37114187492153	-1.862118964	0.7000000000	0.2066586313
-85	-5	2.44647596970548	-1.927962285	0.4875808246	0.2124191754
-85	-10	2.51795379836564	-1.970547371	0.2643758414	0.2161448876
-85	-15	2.58466618617512	-1.987728534	0.03341514836	0.2176480446
-85	-20	2.64575160942995	-1.977833666	-0.2018577000	0.2167823559
-85	-25	2.70040969096087	-1.939744807	-0.4376716874	0.2134500125
-85	-30	2.74791423296783	-1.872962049	-0.6700302779	0.2076072783
-85	-35	2.78761979720517	-1.777642858	-0.8948226983	0.1992679296
-85	-40	2.81898600976440	-1.654634994	-1.107953429	0.1885061360
-85	-45	2.84157940929767	-1.505466141	-1.305466141	0.1754555525

-80	45	1.67070588298600	-0.6722906177	1.872290618	0.2067064651
-80	40	1.74018235082207	-0.8210600786	1.808501025	0.2329385350
-80	35	1.81296032214439	-0.9698370520	1.729190984	0.2591719295
-80	30	1.88850980132638	-1.116756005	1.633434515	0.2850777049
-80	25	1.96621553198870	-1.259668782	1.520547029	0.3102770834
-80	20	2.04537871066870	-1.396174521	1.390151085	0.3343467283
-80	15	2.12523739641017	-1.523679577	1.242243308	0.3568293097
-80	10	2.20497985540655	-1.639464447	1.077245306	0.3772453063
-80	5	2.28375142935335	-1.740754414	0.8960406090	0.3951054604
-80	-2.84217e-14	2.36068043009148	-1.824816390	0.7000000000	0.4099278547
-80	-5	2.43488714878235	-1.889044647	0.4909856767	0.4212530294
-80	-10	2.50549612112272	-1.931051631	0.2713400060	0.4286599940
-80	-15	2.57164847395022	-1.948758197	0.04385721861	0.4317821394
-80	-20	2.63252164179541	-1.940487152	-0.1882646804	0.4303237310
-80	-25	2.68733321208276	-1.905034587	-0.4214860462	0.4240724873
-80	-30	2.73535141996830	-1.841738354	-0.6520032690	0.4129116535
-80	-35	2.77590707987679	-1.750535232	-0.8758417344	0.3968300824
-80	-40	2.80840718368059	-1.632003358	-1.088963231	0.3759297149
-80	-45	2.83235118503392	-1.487386741	-1.287386741	0.3504299036

-75	45	1.67052897557580	-0.6605943103	1.860594310	0.3109803082
-75	40	1.73908041988641	-0.8050052257	1.795029404	0.3496750963
-75	35	1.81059528564881	-0.9486675272	1.714367923	0.3881692940
-75	30	1.88454834573881	-1.089823873	1.617885241	0.4259920229
-75	25	1.96035595290690	-1.226506100	1.505083016	0.4626159153
-75	20	2.03737624910971	-1.356560502	1.375732761	0.4974638872
-75	15	2.11492979602549	-1.477698614	1.229922746	0.5299227465
-75	10	2.19230408114204	-1.587541374	1.068089868	0.5593550254
-75	5	2.26876026363249	-1.683670632	0.8910464252	0.5851127824
-75	-2.84217e-14	2.34354722611185	-1.763692791	0.7000000000	0.6065546552
-75	-5	2.41590206069583	-1.825293890	0.4965631452	0.6230606201
-75	-10	2.48505784788611	-1.866305441	0.2827565062	0.6340496319
-75	-15	2.55024759253295	-1.884770000	0.06100280445	0.6389971955
-75	-20	2.61071150905303	-1.879012650	-0.1658897916	0.6374545184
-75	-25	2.66570147790218	-1.847711320	-0.3947557679	0.6290673524
-75	-30	2.71448680577522	-1.789968277	-0.6221138009	0.6135951504
-75	-35	2.75636339630650	-1.705381941	-0.8442250598	0.5909303101
-75	-40	2.79066780102310	-1.594115960	-1.057171930	0.5611166804
-75	-45	2.81679733989870	-1.456960348	-1.256960348	0.5243659450

-70	45	1.67030008266013	-0.6438065955	1.843806595	0.4163115545
-70	40	1.73754805174065	-0.7821356174	1.775839524	0.4666592010
-70	35	1.80730170006694	-0.9187401216	1.693412528	0.5163791744
-70	30	1.87905130674893	-1.052030117	1.596065006	0.5648927651
-70	25	1.95225944102581	-1.180288953	1.483531607	0.6115751638
-70	20	2.02636586258200	-1.301695568	1.355763558	0.6557635581
-70	15	2.10079937928248	-1.414354873	1.212949842	0.6967681915
-70	10	2.17497438419757	-1.516316583	1.055531015	0.7338792189
-70	5	2.24830169599557	-1.605608710	0.8842168920	0.7663788956
-70	-2.84217e-14	2.32017843266160	-1.680254552	0.7000000000	0.7935477601
-70	-5	2.38999321289413	-1.738307490	0.5041734691	0.8146773016
-70	-10	2.45711759971577	-1.777878304	0.2983485962	0.8290799000
-70	-15	2.52090379968605	-1.797175313	0.08447372989	0.8361034370
-70	-20	2.58068378821714	-1.794554320	-0.1351494735	0.8351494735
-70	-25	2.63576634556905	-1.768576082	-0.3578544000	0.8256941679
-70	-30	2.68543763580761	-1.718076788	-0.5806072307	0.8073139282
-70	-35	2.72896577998889	-1.642250650	-0.8000200542	0.7797154711
-70	-40	2.76561613705668	-1.540746413	-1.012389562	0.7427709499
-70	-45	2.79466269718457	-1.413760083	-1.213760083	0.6965517058

-65	45	1.67004258497293	-0.6215052978	1.821505298	0.5229665090
-65	40	1.73559991515289	-0.7520622451	1.750604968	0.5838462134
-65	35	1.80310276925311	-0.8797818903	1.666133681	0.6434028620
-65	30	1.87207252183560	-1.003308489	1.567935561	0.7010042612
-65	25	1.94203831276092	-1.121246850	1.455999822	0.7559998217
-65	20	2.01254169655091	-1.232173250	1.330459503	0.8077256515
-65	15	2.08313668384585	-1.334640381	1.191590408	0.8555068596
-65	10	2.15338951345588	-1.427180536	1.039813925	0.8986590426
-65	5	2.22287126456085	-1.508302163	0.8757036722	0.9364866786
-65	-2.84217e-14	2.29115276504196	-1.576489592	0.7000000000	0.9682829989
-65	-5	2.35778731779927	-1.630195053	0.5136320818	0.9933262665
-65	-10	2.42230569205512	-1.667847643	0.3177499704	1.010883958
-65	-15	2.48420327905518	-1.687863948	0.1137636219	1.020217714
-65	-20	2.54293008673587	-1.688672900	-0.09661178824	1.020594935
-65	-25	2.59787982833197	-1.668754581	-0.3113068698	1.011306870
-65	-30	2.64838420568843	-1.626700976	-0.5278513811	0.9916969518
-65	-35	2.69370982507706	-1.561297946	-0.7433363601	0.9611990179
-65	-40	2.73306308669846	-1.471632445	-0.9543960575	0.9193873082
-65	-45	2.76560335354633	-1.357221391	-1.157221391	0.8660365575

-60	45	1.66979120017839	-0.5931349385	1.793134939	0.6311217510
-60	40	1.73326083415131	-0.7142929639	1.718912778	0.7010723696
-60	35	1.79803593041520	-0.8314679742	1.632303912	0.7687233933
-60	30	1.86369020192516	-0.9436082229	1.533467596	0.8334675961
-60	25	1.92983882752850	-1.049695890	1.422635061	0.8947173392
-60	20	1.99614304961493	-1.148743767	1.300093655	0.9519026578
-60	15	2.06229839033769	-1.239775592	1.166171465	1.004459907
-60	10	2.12802633486603	-1.321806460	1.021233632	1.051820450
-60	5	2.19306602767124	-1.393822738	0.8656880203	1.093399067
-60	-2.84217e-14	2.25715864772895	-1.454756729	0.7000000000	1.128579324
-60	-5	2.32003183018761	-1.503464089	0.5247196044	1.156700531
-60	-10	2.38138464415693	-1.538706879	0.3405209715	1.177047965
-60	-15	2.44086782095949	-1.559140558	0.1482549503	1.188845356
-60	-20	2.49807171265497	-1.563319143	-0.05098675178	1.191257863
-60	-25	2.55250744260880	-1.549710181	-0.2557955545	1.183400725
-60	-30	2.60359042721398	-1.516732473	-0.4643610362	1.164361036
-60	-35	2.65062731141166	-1.462822498	-0.6743831094	1.133236098
-60	-40	2.69280709116958	-1.386534698	-0.8829905692	1.089191316
-60	-45	2.72920285467153	-1.286682667	-1.086682667	1.031541719

-55	45	1.66959781719337	-0.5580028898	1.758002890	0.7408215989
-55	40	1.73057214524091	-0.6682449462	1.680273903	0.8180139178
-55	35	1.79215825687912	-0.7734445294	1.591675459	0.8916754590
-55	30	1.85400736227923	-0.8729155158	1.492653143	0.9613257935
-55	25	1.91584436602682	-0.9660547396	1.383632552	1.026542580
-55	20	1.97745884214281	-1.052314258	1.264996184	1.086942145
-55	15	2.03869247358089	-1.131169377	1.137070517	1.142157094
-55	10	2.09942239967436	-1.202082938	1.000123145	1.191811304
-55	5	2.15954365405580	-1.264469166	0.8543710492	1.235494611
-55	-2.84217e-14	2.21895923220221	-1.317664991	0.7000000000	1.272742729
-55	-5	2.27756274534380	-1.360897431	0.5371925708	1.303014409
-55	-10	2.33521428673201	-1.393248540	0.3661692012	1.325666899
-55	-15	2.39172711489236	-1.413634390	0.1872432105	1.339941225
-55	-20	2.44684799687281	-1.420786897	0.0008907430764	1.344949465
-55	-25	2.50023347005612	-1.413244726	-0.1921606676	1.339668379
-55	-30	2.55142477572312	-1.389361786	-0.3908235360	1.322945365
-55	-35	2.59982260862863	-1.347342368	-0.5935230518	1.293523052
-55	-40	2.64466384523738	-1.285314285	-0.7980565578	1.250090520
-55	-45	2.68499765769350	-1.201448847	-1.001448847	1.191367309

-50	45	1.66953840637687	-0.5152803675	1.715280368	0.8519213819
-50	40	1.72759849173760	-0.6132652931	1.634140497	0.9341404969
-50	35	1.78555447652867	-0.7053614749	1.544003191	1.011418369
-50	30	1.84316171508855	-0.7912876458	1.445525270	1.083518987
-50	25	1.90027372201635	-0.8708579736	1.339241571	1.150286420
-50	20	1.95681630032696	-0.9439335205	1.225548822	1.211604084
-50	15	2.01276877504877	-1.010380854	1.104705330	1.267360017
-50	10	2.06815044099657	-1.070037176	0.9768399149	1.317417615
-50	5	2.12299737449880	-1.122670145	0.8419652423	1.361581920
-50	-2.84217e-14	2.17735324186315	-1.167949352	0.7000000000	1.399575686
-50	-5	2.23125358825687	-1.205413594	0.5507956439	1.431011918
-50	-10	2.28470775688933	-1.234436743	0.3941720059	1.455365231
-50	-15	2.33768480610444	-1.254197709	0.2299641406	1.471946650
-50	-20	2.39009287030476	-1.263648030	0.05808461347	1.479876411
-50	-25	2.44175399824030	-1.261481990	-0.1213925418	1.478058888
-50	-30	2.49237425257081	-1.246114871	-0.3081198910	1.465164345
-50	-35	2.54150759654781	-1.215677335	-0.5013302028	1.439624219
-50	-40	2.58851472795265	-1.168040127	-0.6996518553	1.399651855
-50	-45	2.63251823957274	-1.100888051	-0.9008880512	1.343304573

-45	45	1.66972110473268	-0.4640139293	1.664013929	0.9640139293
-45	40	1.72443631258376	-0.5486649043	1.579934334	1.048664904
-45	35	1.77834069914124	-0.6269118703	1.489072186	1.126911870
-45	30	1.83132715405504	-0.6988850437	1.392176603	1.198885044
-45	25	1.88338428985949	-0.7647734123	1.289773528	1.264773412
-45	20	1.93457289303296	-0.8247782584	1.182179853	1.324778258
-45	15	1.98499938486981	-0.8790715550	1.069521109	1.379071555
-45	10	2.03480018461016	-0.9277660656	0.9517536795	1.427766066
-45	5	2.08412760206785	-0.9708888045	0.8286860957	1.470888805
-45	-2.84217e-14	2.13313856449378	-1.008356744	0.7000000000	1.508356744
-45	-5	2.18198437227367	-1.039951960	0.5652716612	1.539951960
-45	-10	2.23079920372783	-1.065293451	0.4239965319	1.565293451
-45	-15	2.27968937582368	-1.083806421	0.2756203484	1.583806421
-45	-20	2.32871600617983	-1.094683946	0.1195825106	1.594683946
-45	-25	2.37787280581319	-1.096843681	-0.04462043745	1.596843681
-45	-30	2.42705766258178	-1.088882208	-0.2173415704	1.588882208
-45	-35	2.47603087794114	-1.069029258	-0.3986461141	1.569029258
-45	-40	2.52436077726134	-1.035115292	-0.5881146751	1.535115292
-45	-45	2.57135470130329	-0.9845723290	-0.7845723290	1.484572329


### -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	2.84463792770823	-1.511462769	-1.311462769	2.463331441e-16
-40	-90	2.85763273568995	-1.336850916	-1.489073678	2.680842072e-16
-35	-90	2.86131023408780	-1.141180127	-1.643848128	2.870386107e-16
-30	-90	2.85561958439853	-0.9278097922	-1.773039104	3.028599422e-16
-25	-90	2.84064165371503	-0.7005070379	-1.874495651	3.152847858e-16
-20	-90	2.81658353559910	-0.4633283045	-1.946722764	3.241300561e-16
-15	-90	2.78375757371029	-0.2204894770	-1.988903335	3.292956862e-16
-10	-90	2.74260693726647	0.02375130329	-2.000940575	3.307698230e-16
-5	-90	2.69367976850193	0.2652303391	-1.983429504	3.286253352e-16
-2.84217e-14	-90	2.63762208763182	0.5000000000	-1.937622088	3.230155447e-16
5	-90	2.57517201674094	0.7244410298	-1.865372710	3.141675478e-16
10	-90	2.50715067866560	0.9353621465	-1.769061426	3.023728173e-16
15	-90	2.43445182389044	1.130082496	-1.651499890	2.879756813e-16
20	-90	2.35801746589628	1.306489472	-1.515811612	2.713586599e-16
25	-90	2.27881943477218	1.463070708	-1.365311799	2.529277484e-16
30	-90	2.19783830288695	1.598919151	-1.203383804	2.330972883e-16
35	-90	2.11604775414345	1.713715130	-1.033364844	2.122759707e-16
40	-90	2.03439189928876	1.807681906	-0.8584346096	1.908531956e-16
45	-90	1.95375853365680	1.881515908	-0.6815159079	1.691869035e-16

-45	-85	2.84157943275204	-1.505466158	-1.305466158	0.1754555539
-40	-85	2.85400337964352	-1.330411779	-1.481399813	0.1908477543
-35	-85	2.85714896743015	-1.134600970	-1.634452118	0.2042380958
-30	-85	2.85099526308782	-0.9214234876	-1.761977700	0.2153951386
-25	-85	2.83564938230123	-0.6946476227	-1.861930094	0.2241398400
-20	-85	2.81133652713807	-0.4583006527	-1.932909404	0.2303497250
-15	-85	2.77838560540818	-0.2165450481	-1.974182525	0.2339606552
-10	-85	2.73724511930321	0.02643686208	-1.985710015	0.2349691798
-5	-85	2.68846206086482	0.2665699965	-1.968117149	0.2334300035
-2.84217e-14	-85	2.63267319074513	0.5000000000	-1.922655074	0.2294525874
5	-85	2.57059983909851	0.7231964282	-1.851146848	0.2231964282
10	-85	2.50304231195500	0.9330443639	-1.755916628	0.2148648635
15	-85	2.43086619028609	1.126919866	-1.639696792	0.2046969454
20	-85	2.35498557800369	1.302744245	-1.505521685	0.1929581446
25	-85	2.27634393452689	1.459014498	-1.356613229	0.1799303428
30	-85	2.19589524588572	1.594809633	-1.196265910	0.1659017701
35	-85	2.11459136787463	1.709776998	-1.027740609	0.1511577168
40	-85	2.03335964707252	1.804092867	-0.8541573588	0.1359711502
45	-85	1.95307716716621	1.878398970	-0.6783989698	0.1205942837

-45	-80	2.83235122675238	-1.487386770	-1.287386770	0.3504299087
-40	-80	2.84308009354750	-1.311049972	-1.458325310	0.3805709853
-35	-80	2.84465565625038	-1.114869293	-1.606272362	0.4066580422
-30	-80	2.83714352004142	-0.9023160920	-1.728882720	0.4282775565
-25	-80	2.82072465659561	-0.6771533684	-1.824413545	0.4451222185
-20	-80	2.79567786480087	-0.4433168053	-1.891741622	0.4569939750
-15	-80	2.76237815930984	-0.2048064722	-1.930373564	0.4638058286
-10	-80	2.72128567403196	0.03442103106	-1.940429542	0.4655789689
-5	-80	2.67294226510463	0.2705506726	-1.922617813	0.4624382806
-2.84217e-14	-80	2.61795640914741	0.5000000000	-1.878183769	0.4546033597
5	-80	2.55700181934484	0.7194968277	-1.808860220	0.4423797477
10	-80	2.49081522881210	0.9261482714	-1.716806944	0.4261482714
15	-80	2.42018355666578	1.117497293	-1.604531270	0.4063510407
20	-80	2.34593919167711	1.291566114	-1.474810025	0.3834776852
25	-80	2.26894403688831	1.446882607	-1.330596303	0.3580489152
30	-80	2.19007466615924	1.582489104	-1.174926127	0.3306000630
35	-80	2.11021831893060	1.697939989	-1.010835607	0.3016664771
40	-80	2.03025203637255	1.793276226	-0.8412665882	0.2717668840
45	-80	1.95102033365631	1.868979936	-0.6689799356	0.2413880987

-45	-75	2.81679739230362	-1.456960385	-1.256960385	0.5243659547
-40	-75	2.82476101700398	-1.278639065	-1.419699495	0.5679717680
-35	-75	2.82380681486890	-1.082009561	-1.559343802	0.6053893471
-30	-75	2.81413389584459	-0.8706477605	-1.674031560	0.6361198394
-25	-75	2.79603161907927	-0.6482800184	-1.762494446	0.6598233982
-20	-75	2.76986398429050	-0.4186755947	-1.824040452	0.6763146008
-15	-75	2.73606023925717	-0.1855549339	-1.858525845	0.6855549339
-10	-75	2.69510186879573	0.04748992229	-1.866312177	0.6876412753
-5	-75	2.64751362098610	0.2770597357	-1.848218882	0.6827931915
-2.84217e-14	-75	2.59385629609850	0.5000000000	-1.805472786	0.6713394097
5	-75	2.53472594968206	0.7134427067	-1.739661301	0.6537052754
10	-75	2.47075775005240	0.9148424942	-1.652688696	0.6304010360
15	-75	2.40262371782548	1.102008143	-1.546724977	0.6020081431
20	-75	2.33102691682894	1.273127327	-1.424149874	0.5691642433
25	-75	2.25670139607311	1.426786773	-1.287500648	0.5325491936
30	-75	2.18040553391059	1.561984992	-1.139411963	0.4928689499
35	-75	2.10292137639787	1.678140695	-0.9825592856	0.4508404018
40	-75	2.02504229462117	1.775088162	-0.8195908979	0.4071731539
45	-75	1.94755661072156	1.853058315	-0.6530583153	0.3625508829

-45	-70	2.79466275808358	-1.413760125	-1.213760125	0.6965517210
-40	-70	2.79888901899268	-1.232991169	-1.365298451	0.7517071612
-35	-70	2.79457682235818	-1.036084222	-1.493755620	0.7984617468
-30	-70	2.78209059741596	-0.8266982215	-1.597908726	0.8363703773
-25	-70	2.76185085628461	-0.6084579198	-1.677095680	0.8651920715
-20	-70	2.73431841378876	-0.3848680315	-1.731154936	0.8848680315
-15	-70	2.69997450530269	-0.1592497646	-1.760353617	0.8954954822
-10	-70	2.65931011194372	0.06529730621	-1.765321484	0.8973036381
-5	-70	2.61281859181835	0.2859160445	-1.746990809	0.8906318179
-2.84217e-14	-70	2.56099292325744	0.5000000000	-1.706546152	0.8759111667
5	-70	2.50432937020777	0.7051947805	-1.645387074	0.8536510827
10	-70	2.44333864147294	0.8993990338	-1.565104479	0.8244306079
15	-70	2.37854409701572	1.080766460	-1.467449937	0.7888872613
20	-70	2.31049270734133	1.247711431	-1.354320273	0.7477114309
25	-70	2.23975717278948	1.398917684	-1.227735195	0.7016382306
30	-70	2.16694358851571	1.533352475	-1.089818989	0.6514408368
35	-70	2.09269547731264	1.650283820	-0.9427755454	0.5979214001
40	-70	2.01768997508836	1.749295304	-0.7888521669	0.5418978720
45	-70	1.94263330728272	1.830297958	-0.6302979582	0.4841888595

-45	-65	2.76560341892811	-1.357221435	-1.157221435	0.8660365780
-40	-65	2.76526835442254	-1.173890766	-1.294865334	0.9302209822
-35	-65	2.75695777316370	-0.9772257057	-1.409696947	0.9837678428
-30	-65	2.74121241046304	-0.7708886562	-1.501243723	1.026456806
-25	-65	2.71858982140737	-0.5582970515	-1.569525351	1.058297052
-20	-65	2.68962980971704	-0.3425677228	-1.614935793	1.079472288
-15	-65	2.65484773131515	-0.1265060237	-1.638152312	1.090298329
-10	-65	2.61472360576744	0.08738561408	-1.640052465	1.091184385
-5	-65	2.56969904767486	0.2968818229	-1.621651388	1.082603822
-2.84217e-14	-65	2.52018114687855	0.5000000000	-1.584059798	1.065074576
5	-65	2.46655158679500	0.6949650339	-1.528460535	1.039148213
10	-65	2.40917901930897	0.8801785854	-1.456099900	1.005405895
15	-65	2.34842873896373	1.054195532	-1.368285883	0.9644575466
20	-65	2.28467495787675	1.215709415	-1.266395456	0.9169452599
25	-65	2.21831400563232	1.363548871	-1.151886530	0.8635488712
30	-65	2.14977646533497	1.496685449	-1.026309837	0.8049914975
35	-65	2.07954148343064	1.614254330	-0.8913200999	0.7420447492
40	-65	2.00814433211672	1.715583380	-0.7486758607	0.6755286480
45	-65	1.93618022053398	1.800228147	-0.6002281465	0.6063063421

-45	-60	2.72920286190245	-1.286682672	-1.086682672	1.031541721
-40	-60	2.72369073253383	-1.101145792	-1.208171250	1.101683185
-35	-60	2.71098544275447	-0.9056795485	-1.307518445	1.159041315
-30	-60	2.69179805210856	-0.7038086852	-1.385057805	1.203808685
-25	-60	2.66678566077619	-0.4985874426	-1.441477681	1.236382716
-20	-60	2.63653809118234	-0.2926134254	-1.477687489	1.257288458
-15	-60	2.60157083884333	-0.08807110306	-1.494711235	1.267117122
-10	-60	2.56232256464426	0.1132077073	-1.493608098	1.266480226
-5	-60	2.51916059993923	0.3096752550	-1.475421790	1.255980356
-2.84217e-14	-60	2.47239095548295	0.5000000000	-1.441153376	1.236195478
5	-60	2.42227132373236	0.6830046771	-1.391753030	1.207674175
10	-60	2.36902826067011	0.8576137857	-1.328128561	1.170940571
15	-60	2.31287026098236	1.022811889	-1.251160534	1.126503060
20	-60	2.25400053889520	1.177612470	-1.161724960	1.074867407
25	-60	2.19263630216332	1.321040517	-1.060727071	1.016556248
30	-60	2.12902779838875	1.452130177	-0.9491378414	0.9521301766
35	-60	2.06347693538484	1.569938363	-0.8280303405	0.8822087284
40	-60	1.99635452799940	1.673574743	-0.6986119164	0.8074889664
45	-60	1.92811502105576	1.762247576	-0.5622475761	0.7287589778

-45	-55	2.68499774648046	-1.201448903	-1.001448903	1.191367348
-40	-55	2.67396953378527	-1.014656618	-1.105097466	1.263942853
-35	-55	2.65677865675561	-0.8218611242	-1.187813330	1.321861124
-30	-55	2.63425480428069	-0.6262362769	-1.250698453	1.365893762
-25	-55	2.60710648529275	-0.4302962664	-1.295026781	1.396932791
-20	-55	2.57592058427898	-0.2359876575	-1.322109470	1.415896294
-15	-55	2.54116701504333	-0.04479486059	-1.333202099	1.423663437
-10	-55	2.50320900964727	0.1421534983	-1.329448359	1.421035040
-5	-55	2.46231881925214	0.3239856190	-1.311853581	1.408715043
-2.84217e-14	-55	2.41869277586552	0.5000000000	-1.281277132	1.387305183
5	-55	2.37246513212293	0.6695913537	-1.238438043	1.357308930
10	-55	2.32372900601129	0.8321889193	-1.183936979	1.319146874
15	-55	2.27254808738608	0.9872062761	-1.118278576	1.273172366
20	-55	2.21897254859626	1.134001071	-1.041903625	1.219694049
25	-55	2.16305394381559	1.271844579	-0.9552260416	1.159001752
30	-55	2.10487075896839	1.399906039	-0.8586829818	1.091401574
35	-55	2.04454714587425	1.517249737	-0.7527831836	1.017249737
40	-55	1.98227762914830	1.622851211	-0.6381619649	0.9369910951
45	-55	1.91835045808224	1.715634273	-0.5156342728	0.8511962815

-45	-50	2.63251799281575	-1.100887901	-0.9008879011	1.343304447
-40	-50	2.61597975453462	-0.9145026402	-0.9857386031	1.414502640
-35	-50	2.59455792996050	-0.7264062513	-1.051489643	1.469674314
-30	-50	2.56912161833258	-0.5391627995	-1.099882766	1.510280965
-25	-50	2.54035367118828	-0.3545609265	-1.132611821	1.537743903
-20	-50	2.50877287092549	-0.1737896787	-1.151221928	1.553359637
-15	-50	2.47475585082735	0.002403407756	-1.157055764	1.558254807
-10	-50	2.43856143881858	0.1735773531	-1.151234823	1.553370457
-5	-50	2.40035182944862	0.3394880120	-1.134660418	1.539462880
-2.84217e-14	-50	2.36021068839110	0.5000000000	-1.108026282	1.517114187
5	-50	2.31816007069713	0.6550158093	-1.071838808	1.486749290
10	-50	2.27417718794485	0.8044183859	-1.026442458	1.448657230
15	-50	2.22820347057862	0.9480225609	-0.9720429601	1.403010631
20	-50	2.18015962451882	1.085532899	-0.9087384193	1.349891814
25	-50	2.12996204871997	1.216507454	-0.8365551942	1.289322897
30	-50	2.07753618554673	1.340325465	-0.7554864004	1.221298102
35	-50	2.02284109536723	1.456164800	-0.6655448535	1.145828183
40	-50	1.96589462973107	1.562991080	-0.5668234383	1.062991080
45	-50	1.90680510277905	1.659567086	-0.4595670864	0.9729923145

-45	-45	2.57135465546757	-0.9845723025	-0.7845723025	1.484572303
-40	-45	2.54972771782260	-0.8010587553	-0.8505414458	1.550541446
-35	-45	2.52470690533800	-0.6202442811	-0.8998746371	1.599874637
-30	-45	2.49709134814809	-0.4438118155	-0.9347300172	1.634730017
-25	-45	2.46745188241543	-0.2726717323	-0.9569998772	1.656999877
-20	-45	2.43617619563543	-0.1072012506	-0.9682717251	1.668271725
-15	-45	2.40350799950294	0.05257067113	-0.9698289882	1.669828988
-10	-45	2.36958112320405	0.2068258735	-0.9626730934	1.662673093
-5	-45	2.33444263981113	0.3558580057	-0.9475505340	1.647550534
-2.84217e-14	-45	2.29807103117521	0.5000000000	-0.9249816098	1.624981610
5	-45	2.26039122134681	0.6395696313	-0.8952881858	1.595288186
10	-45	2.22128816341598	0.7748267238	-0.8586198024	1.558619802
15	-45	2.18061115197940	0.9059355677	-0.8149721633	1.514972163
20	-45	2.13818442340386	1.032928718	-0.7642096179	1.464209618
25	-45	2.09381832216151	1.155670022	-0.7060888998	1.406088900
30	-45	2.04731887720321	1.273813801	-0.6402848181	1.340284818
35	-45	1.99850425609537	1.386761532	-0.5664267146	1.266426715
40	-45	1.94722951514107	1.493619825	-0.4841499963	1.184149996
45	-45	1.89341959998410	1.593166316	-0.3931663157	1.093166316