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# N_patches = 5
# origin = 0.5 0.7 0

### +z patch
# N_rho = 19
# N_sigma = 19
# ghosted_gfn=-3
# dpx = dsigma = dnu
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-45	2.45809562013434	-0.9191821680	-0.7191821680	1.419182168
-40	-45	2.43573429203345	-0.7428909189	-0.7812197178	1.481219718
-35	-45	2.41003745132097	-0.5693639988	-0.8272100633	1.527210063
-30	-45	2.38181144916309	-0.4002401092	-0.8592616081	1.559261608
-25	-45	2.35162920291506	-0.2364023683	-0.8792199752	1.579219975
-20	-45	2.31987692593572	-0.07821440551	-0.8886310227	1.588631023
-15	-45	2.28679517811159	0.07429755506	-0.8887431534	1.588743153
-10	-45	2.25251342933920	0.2213099604	-0.8805297547	1.580529755
-5	-45	2.21707570291335	0.3631049194	-0.8647179313	1.564717931
0	-45	2.18045705242002	0.5000000000	-0.8418159679	1.541815968
5	-45	2.14257859859218	0.6322951984	-0.8121410370	1.512141037
10	-45	2.10332348339740	0.7602316582	-0.7758470720	1.475847072
15	-45	2.06254112440198	0.8839560306	-0.7329434142	1.432943414
20	-45	2.02005677401388	1.003486161	-0.6833168575	1.383316857
25	-45	1.97568052568534	1.118675689	-0.6267542973	1.326754297
30	-45	1.92922058538590	1.229176842	-0.5629713378	1.262971338
35	-45	1.88049870463158	1.334400981	-0.4916480983	1.191648098
40	-45	1.82937686093118	1.433482726	-0.4124813928	1.112481393
45	-45	1.77578645709038	1.525250789	-0.3252507890	1.025250789

-45	-40	2.41011095338138	-0.9656376428	-0.5298160055	1.465637643
-40	-40	2.38616711544268	-0.7902392225	-0.5902392225	1.537647229
-35	-40	2.35874586607719	-0.6149416407	-0.6360997540	1.592301682
-30	-40	2.32863702032279	-0.4418911693	-0.6689099580	1.631403360
-25	-40	2.29642985019046	-0.2725063021	-0.6900903016	1.656645111
-20	-40	2.26254647195484	-0.1076598157	-0.7009033686	1.669531622
-15	-40	2.22727345212077	0.05216443699	-0.7024250357	1.671345075
-10	-40	2.19079300046574	0.2067433124	-0.6955412689	1.663141321
-5	-40	2.15320376975726	0.3560148503	-0.6809547566	1.645757792
0	-40	2.11453837054117	0.5000000000	-0.6591990648	1.619830369
5	-40	2.07477992512801	0.6387409322	-0.6306577142	1.585816111
10	-40	2.03387946114563	0.7722524463	-0.5955869054	1.544020349
15	-40	1.99176113878518	0.9004813464	-0.5541323489	1.494616732
20	-40	1.94833695465424	1.023271495	-0.5063539188	1.437676617
25	-40	1.90351724882621	1.140332676	-0.4522498134	1.373197855
30	-40	1.85722440544980	1.251213371	-0.3917858648	1.301139727
35	-40	1.80940843249387	1.355278576	-0.3249303226	1.221464394
40	-40	1.76007029305140	1.451698526	-0.2516985260	1.134190137
45	-40	1.70928383374803	1.539450373	-0.1722024245	1.039450373

-45	-35	2.36090393474113	-0.9960747791	-0.3475628381	1.496074779
-40	-35	2.33484817847773	-0.8225630288	-0.4036455840	1.576169241
-35	-35	2.30532386869389	-0.6469973206	-0.4469973206	1.638081937
-30	-35	2.27309289849824	-0.4718269011	-0.4786268376	1.683253569
-25	-35	2.23874970188411	-0.2988551679	-0.4995608495	1.713150436
-20	-35	2.20274320838263	-0.1293640510	-0.5107733307	1.729163519
-15	-35	2.16540163782541	0.03576460090	-0.5131446376	1.732550096
-10	-35	2.12695499705400	0.1959409294	-0.5074411553	1.724404679
-5	-35	2.08755379456013	0.3507750149	-0.4943085563	1.705649384
0	-35	2.04728686244971	0.5000000000	-0.4742755028	1.677039219
5	-35	2.00619813810114	0.6434094240	-0.4477642436	1.639177217
10	-35	1.96430382871010	0.7808072561	-0.4151064727	1.592537086
15	-35	1.92159854592863	0.9119670237	-0.3765563907	1.537481864
20	-35	1.87806956722951	1.036598849	-0.3323112275	1.474293222
25	-35	1.83370926261868	1.154324206	-0.2825331697	1.403202788
30	-35	1.78852709735666	1.264658034	-0.2273734647	1.324426565
35	-35	1.74256200655129	1.366999201	-0.1669992011	1.238203181
40	-35	1.69589970853230	1.460633876	-0.1016248086	1.144838873
45	-35	1.64868554816703	1.544751051	-0.03154256151	1.044751051

-45	-30	2.31116737519363	-1.013014206	-0.1735391590	1.513014206
-40	-30	2.28256681444989	-0.8418271783	-0.2232566120	1.599127360
-35	-30	2.25062325177565	-0.6669760474	-0.2622203394	1.666614516
-30	-30	2.21607164504963	-0.4910573683	-0.2910573683	1.716561715
-25	-30	2.17950903717612	-0.3161249656	-0.3104701485	1.750185637
-20	-30	2.14140823541667	-0.1437642309	-0.3211754068	1.768727688
-15	-30	2.10213450627256	0.02482379513	-0.3238624244	1.773381739
-10	-30	2.06196161529633	0.1887390871	-0.3191666138	1.765248357
-5	-30	2.02108859298049	0.3473050225	-0.3076561101	1.745311579
0	-30	1.97965578298033	0.5000000000	-0.2898278915	1.714432199
5	-30	1.93776123956485	0.6463995244	-0.2661115102	1.673354221
10	-30	1.89547721814163	0.7861294628	-0.2368783025	1.622720820
15	-30	1.85285636623742	0.9188282213	-0.2024493940	1.563088202
20	-30	1.80994451463695	1.044117427	-0.1631099831	1.494950343
25	-30	1.76679102937184	1.161581229	-0.1191246576	1.418765525
30	-30	1.72346015873251	1.270754814	-0.07075481429	1.334986499
35	-30	1.68003942551041	1.371121262	-0.01827575094	1.244090094
40	-30	1.63665142292197	1.462120078	0.03800437380	1.146610059
45	-30	1.59345957762933	1.543164162	0.09772889048	1.043164162

-45	-25	2.26132760598159	-1.018578576	-0.008124819403	1.518578576
-40	-25	2.22986205256692	-0.8497950364	-0.05011326308	1.608623084
-35	-25	2.19527116235582	-0.6762642952	-0.08334067966	1.679879509
-30	-25	2.15827037502249	-0.5006234198	-0.1081720725	1.733130602
-25	-25	2.11946093956800	-0.3250671894	-0.1250671894	1.769362298
-20	-25	2.07933829668636	-0.1513845613	-0.1345342029	1.789664373
-15	-25	2.03830020847527	0.01899035728	-0.1370933236	1.795152426
-10	-25	1.99665953729737	0.1849187245	-0.1332520136	1.786914710
-5	-25	1.95465795206262	0.3454968645	-0.1234894942	1.765978919
0	-25	1.91248000663900	0.5000000000	-0.1082489760	1.733295523
5	-25	1.87026745615923	0.6478326097	-0.08793611943	1.689734461
10	-25	1.82813482621096	0.7884873671	-0.06292277005	1.636093160
15	-25	1.78617567482913	0.9215118654	-0.03355030136	1.573103698
20	-25	1.74447332754182	1.046482982	-0.0001374716916	1.501449653
25	-25	1.70310813197414	1.162988694	0.03701130627	1.421783842
30	-25	1.66216969735840	1.270619820	0.07759460324	1.334752681
35	-25	1.62175857977132	1.368966324	0.1213063562	1.241012524
40	-25	1.58199717641418	1.457625129	0.1678248985	1.141253188
45	-25	1.54303124331891	1.536211729	0.2168065354	1.036211729

-45	-20	2.21161763133506	-1.014496024	0.1487685275	1.514496024
-40	-20	2.17707949830969	-0.8479846892	0.1152943406	1.606465596
-35	-20	2.13971129811014	-0.6761268246	0.08864531938	1.679683180
-30	-20	2.10021773214911	-0.5015328518	0.06861872911	1.734705785
-25	-20	2.05920650630225	-0.3264543884	0.05492203034	1.772337155
-20	-20	2.01719211861474	-0.1527947916	0.04720520838	1.793538950
-15	-20	1.97459997540141	0.01786412557	0.04508812819	1.799355580
-10	-20	1.93177518053207	0.1842234116	0.04818098507	1.790858025
-5	-20	1.88899327037299	0.3452234102	0.05609861483	1.769104516
0	-20	1.84647213265762	0.5000000000	0.06846933654	1.735116238
5	-20	1.80438460486522	0.6478440925	0.08493918180	1.689865710
10	-20	1.76287159121108	0.7881668543	0.1051723846	1.634275442
15	-20	1.72204819906522	0.9204705888	0.1288515024	1.569217600
20	-20	1.68201376883862	1.044325857	0.1556741435	1.495523000
25	-20	1.64285755946310	1.159354385	0.1853497133	1.413990042
30	-20	1.60466817288013	1.265219656	0.2175940976	1.325399324
35	-20	1.56753499300146	1.361620890	0.2521265622	1.230522157
40	-20	1.53155625244545	1.448295356	0.2886647184	1.130134398
45	-20	1.49683902421401	1.525022010	0.3269224988	1.025022010

-45	-15	2.16213204008198	-1.002133863	0.2975044444	1.502133863
-40	-15	2.12442033413055	-0.8376625398	0.2728450067	1.594164138
-35	-15	2.08424482466163	-0.6676773437	0.2531636205	1.667616071
-30	-15	2.04230534124699	-0.4947221226	0.2383478563	1.722909256
-25	-15	1.99921561766817	-0.3210419834	0.2282137607	1.760730215
-20	-15	1.95550396198845	-0.1485783328	0.2225267779	1.781954324
-15	-15	1.91161574708929	0.02102019234	0.2210201923	1.787576978
-10	-15	1.86791827733739	0.1863748066	0.2234103314	1.778656857
-5	-15	1.82470899287797	0.3463459821	0.2294079445	1.756273461
0	-15	1.78222541835145	0.5000000000	0.2387261191	1.721497560
5	-15	1.74065623467952	0.6465761528	0.2510851327	1.675373093
10	-15	1.70015302250688	0.7854572531	0.2662147668	1.618908530
15	-15	1.66083512176583	0.9161435102	0.2838564898	1.553068723
20	-15	1.62279896395730	1.038230690	0.3037629863	1.478776667
25	-15	1.58612366408793	1.151392530	0.3256975426	1.396915788
30	-15	1.55087975626337	1.255369127	0.3494319680	1.308337707
35	-15	1.51712988122585	1.349956862	0.3747460685	1.213864198
40	-15	1.48493610894055	1.435004893	0.4014254367	1.114295440
45	-15	1.45436064116329	1.510412097	0.4292608946	1.010412097

-45	-10	2.11286986346343	-0.9825455172	0.4385872252	1.482545517
-40	-10	2.07198264050599	-0.8198587373	0.4226471119	1.572946392
-35	-10	2.02906532006075	-0.6518706214	0.4099347583	1.645041732
-30	-10	1.98481550903085	-0.4810355762	0.4003845839	1.699203462
-25	-10	1.93984919300441	-0.3095437484	0.3938836358	1.736072171
-20	-10	1.89469996862275	-0.1393091078	0.3902838911	1.756487338
-15	-10	1.84982146454518	0.02802763943	0.3894132781	1.761424829
-10	-10	1.80558950666396	0.1910855377	0.3910855377	1.751940974
-5	-10	1.76230841646720	0.3487208324	0.3951079398	1.729128798
0	-10	1.72021960444149	0.5000000000	0.4012870005	1.694085603
5	-10	1.67951193325437	0.6441717947	0.4094323283	1.647891154
10	-10	1.64033197207726	0.7806409028	0.4193590972	1.591593650
15	-10	1.60278817424362	0.9089430967	0.4308903943	1.526196414
20	-10	1.56696108844649	1.028723551	0.4438575504	1.452656017
25	-10	1.53290832708839	1.139717952	0.4581006166	1.371879575
30	-10	1.50067236338617	1.241737945	0.4734678248	1.284727807
35	-10	1.47028270662817	1.334657928	0.4898155843	1.192015056
40	-10	1.44176226089031	1.418406593	0.5070075882	1.094514356
45	-10	1.41512980411462	1.492959568	0.5249144374	0.9929595682

-45	-5	2.06376571127380	-0.9565182462	0.5725711652	1.456518246
-40	-5	2.01979014991268	-0.7953900852	0.5649362446	1.543785788
-35	-5	1.97428624234185	-0.6295071571	0.5588717398	1.613103395
-30	-5	1.92794625445336	-0.4612180435	0.5543420061	1.664878489
-25	-5	1.88138065912843	-0.2926180669	0.5512889631	1.699774930
-20	-5	1.83511555954750	-0.1255360828	0.5496379354	1.718646262
-15	-5	1.78959646515856	0.03846345784	0.5493027171	1.722477825
-10	-5	1.74519077895047	0.1980694145	0.5501902358	1.712333440
-5	-5	1.70219233336770	0.3522044376	0.5522044376	1.689311008
0	-5	1.66082990456637	0.5000000000	0.5552491361	1.654509945
5	-5	1.62127739713782	0.6407699941	0.5592300059	1.609008395
10	-5	1.58366224002922	0.7739849838	0.5640560851	1.553846058
15	-5	1.54807104873031	0.8992471894	0.5696409469	1.490010796
20	-5	1.51456089723056	1.016268573	0.5759029085	1.418436246
25	-5	1.48316173689342	1.124850045	0.5827656069	1.339995245
30	-5	1.45388665448438	1.224865687	0.5901576157	1.255504198
35	-5	1.42673248443827	1.316246661	0.5980126240	1.165721041
40	-5	1.40168871620508	1.398971443	0.6062688063	1.071352447
45	-5	1.37873768410795	1.473054539	0.6148687588	0.9730545394

-45	0	2.01470893077356	-0.9246143471	0.7000000000	1.424614347
-40	0	1.96781614475994	-0.7648878360	0.7000000000	1.507434623
-35	0	1.91996602162793	-0.6012472686	0.7000000000	1.572744092
-30	0	1.87183611041489	-0.4359180552	0.7000000000	1.621057623
-25	0	1.82401766488560	-0.2708631749	0.7000000000	1.653121413
-20	0	1.77701316973721	-0.1077742990	0.7000000000	1.669846163
-15	0	1.73124000977166	0.05192211383	0.7000000000	1.672249437
-10	0	1.68703743959720	0.2070490230	0.7000000000	1.661407550
-5	0	1.64467051377932	0.3566575198	0.7000000000	1.638412046
0	0	1.60433881496013	0.5000000000	0.7000000000	1.604338815
5	0	1.56618698214961	0.6365021897	0.7000000000	1.560227168
10	0	1.53031288080058	0.7657360430	0.7000000000	1.507063990
15	0	1.49677512975085	0.8873939098	0.7000000000	1.445773754
20	0	1.46560360490373	1.001265955	0.7000000000	1.377216893
25	0	1.43680112644352	1.107218395	0.7000000000	1.302184049
30	0	1.41035520385964	1.205177602	0.7000000000	1.221403435
35	0	1.38623690181715	1.295112822	0.7000000000	1.135538792
40	0	1.36441132142538	1.377026692	0.7000000000	1.045199711
45	0	1.34483639614307	1.450942935	0.7000000000	0.9509429353

-45	5	1.96556278668595	-0.8872107901	0.8213652181	1.387210790
-40	5	1.91600447575699	-0.7288272627	0.8281235874	1.464459305
-35	5	1.86612963383416	-0.5676297754	0.8333968818	1.524733336
-30	5	1.81658466568422	-0.4056963877	0.8372445303	1.568712160
-25	5	1.76792234427397	-0.2448185375	0.8397428871	1.597268508
-20	5	1.72060053623124	-0.08650133168	0.8409791594	1.611399165
-15	5	1.67498766230139	0.06802104336	0.8410463724	1.612167414
-10	5	1.63137339453852	0.2177606425	0.8400395112	1.600658937
-5	5	1.58997552308410	0.3619478410	0.8380521590	1.577943398
0	5	1.55094908583605	0.5000000000	0.8351741195	1.545047256
5	5	1.51439829121721	0.6314900454	0.8314900454	1.502938096
10	5	1.48038459331262	0.7561172065	0.8270784086	1.452512857
15	5	1.44893688216393	0.8736805092	0.8220112218	1.394594646
20	5	1.42005714647578	0.9840550668	0.8163538303	1.329930366
25	5	1.39372689028819	1.087171505	0.8101651439	1.259193357
30	5	1.36991460019017	1.182999658	0.8034982236	1.182990109
35	5	1.34857731073842	1.271533373	0.7964005956	1.101863849
40	5	1.32966774450858	1.352780876	0.7889151375	1.016304672
45	5	1.31313352495259	1.426753908	0.7810804609	0.9267539083

-45	10	1.91617376380469	-0.8445290090	0.9370767406	1.344529009
-40	10	1.86428336199045	-0.6875537159	0.9495505341	1.415271407
-35	10	1.81278258547773	-0.5290900853	0.9591465212	1.469692954
-30	10	1.76226650010086	-0.3710361863	0.9660208006	1.508678930
-25	10	1.71322383906761	-0.2149677684	0.9703539299	1.533253327
-20	10	1.66604367366613	-0.06215596781	0.9723389309	1.544510828
-15	10	1.62102329802853	0.08640430594	0.9721712997	1.543560144
-10	10	1.57838212255343	0.2299579650	0.9700420350	1.531484484
-5	10	1.53827409974137	0.3679522703	0.9661325084	1.509312456
0	10	1.50079723391124	0.5000000000	0.9606107047	1.477996752
5	10	1.46600806331237	0.6258443059	0.9536299631	1.438406999
10	10	1.43392854933753	0.7453277809	0.9453277809	1.391322984
15	10	1.40455626933175	0.8583652535	0.9358262869	1.337437334
20	10	1.37787046904524	0.9649206496	0.9252328534	1.277358987
25	10	1.35383896340199	1.064988182	0.9136414844	1.211621067
30	10	1.33242064739644	1.158576100	0.9011339416	1.140687266
35	10	1.31357159141601	1.245695326	0.8877817621	1.064963293
40	10	1.29724481116374	1.326348573	0.8736474949	0.9848038807
45	10	1.28339402275809	1.400524016	0.8587866808	0.9005240162

-45	15	1.86638649793275	-0.7966656562	1.047440515	1.296665656
-40	15	1.81258036435977	-0.6413093797	1.064453654	1.360159554
-35	15	1.75992860969863	-0.4859824238	1.077306984	1.408128833
-30	15	1.70894633380484	-0.3323567932	1.086298132	1.441684256
-25	15	1.66003104241570	-0.1817449642	1.091743540	1.462006794
-20	15	1.61347663066897	-0.03513876911	1.093960790	1.470281684
-15	15	1.56948722166540	0.1067448761	1.093255124	1.467648103
-10	15	1.52819456609889	0.2434147296	1.089910924	1.455167379
-5	15	1.48967579425465	0.3745582600	1.084187066	1.433805649
0	15	1.45396389314778	0.5000000000	1.076313546	1.404421275
5	15	1.42106221489963	0.6196639682	1.066491639	1.367765416
10	15	1.39095250896251	0.7335422031	1.054894324	1.324483650
15	15	1.36360456304977	0.8416685871	1.041668587	1.275124526
20	15	1.33898098703964	0.9440973136	1.026937495	1.220147341
25	15	1.31704280641027	1.040885850	1.010803231	1.159933448
30	15	1.29775128418421	1.132080760	0.9933497016	1.094795991
35	15	1.28107315885114	1.217708441	0.9746462821	1.024993879
40	15	1.26697617278592	1.297764236	0.9547495850	0.9507383945
45	15	1.25543562565516	1.372209621	0.9337078635	0.8722096207

-45	20	1.81605135739361	-0.7436157681	1.152639122	1.243615768
-40	20	1.76083334214656	-0.5902571024	1.172913011	1.299317819
-35	20	1.70758025367146	-0.4385990266	1.187886932	1.340458329
-30	20	1.65669303236016	-0.2900288013	1.198045958	1.368370023
-25	20	1.60844695103547	-0.1455438234	1.203870637	1.384373197
-20	20	1.56301530037696	-0.005816098476	1.205816098	1.389718309
-15	20	1.52049034888694	0.1287435668	1.204298183	1.385547871
-10	20	1.48090397698012	0.2579248298	1.199686186	1.372876512
-5	20	1.44424760660015	0.3816640997	1.192300872	1.352585530
0	20	1.41048495605795	0.5000000000	1.182414267	1.325422305
5	20	1.37956594557447	0.6130361424	1.170252826	1.292009020
10	20	1.35143461413095	0.7209115306	1.156000671	1.252851547
15	20	1.32603694375727	0.8237769621	1.139804187	1.208352073
20	20	1.30332396593548	0.9217759374	1.121775937	1.158819864
25	20	1.28325868463627	1.015030799	1.102000433	1.104487112
30	20	1.26581429500174	1.103630081	1.080537421	1.045517970
35	20	1.25097715691262	1.187619770	1.057427070	0.9820228043
40	20	1.23874493718527	1.266995055	1.032693949	0.9140691121
45	20	1.22912824223307	1.341696055	1.006352310	0.8416960549

-45	25	1.76503592246604	-0.6852974024	1.252713256	1.185297402
-40	25	1.70900437868947	-0.5345059798	1.274899622	1.232876218
-35	25	1.65577082831516	-0.3871906760	1.290830267	1.267039595
-30	25	1.60558506630002	-0.2443858927	1.301217079	1.289314187
-25	25	1.55857178751293	-0.1067233513	1.306723351	1.301122426
-20	25	1.51476010102843	0.02547820362	1.307942977	1.303737921
-15	25	1.47411720900801	0.1521294611	1.305393489	1.298270526
-10	25	1.43656885919538	0.2733033899	1.299513273	1.285660363
-5	25	1.40201804350926	0.3891794938	1.290664535	1.266684182
0	25	1.37036032275443	0.5000000000	1.279139298	1.241968232
5	25	1.34149530044628	0.6060365728	1.265166548	1.212003573
10	25	1.31533229936024	0.7075649708	1.248918464	1.177159446
15	25	1.29179877191603	0.8048460002	1.230518578	1.137700761
20	25	1.27084019705695	0.8981101514	1.210046688	1.093798652
25	25	1.25242656764210	0.9875466440	1.187546644	1.045547152
30	25	1.23654884329511	1.073292275	1.163030143	0.9929713471
35	25	1.22322260893359	1.155423851	1.136483677	0.9360422669
40	25	1.21248630655843	1.233950334	1.107873688	0.8746879473
45	25	1.20439760510627	1.308804702	1.077151826	0.8088047017

-45	30	1.71323830064381	-0.6215777423	1.347543211	1.121577742
-40	30	1.65708944764407	-0.4741347520	1.370262434	1.160928590
-35	30	1.60456650314389	-0.3319876168	1.386008431	1.188201457
-30	30	1.55572667983202	-0.1957421221	1.395742122	1.205060704
-25	30	1.51051628152176	-0.06561823201	1.400309834	1.212972213
-20	30	1.46880855879286	0.05843710852	1.400432151	1.213184074
-15	30	1.43043885532022	0.1766569863	1.396707366	1.206732556
-10	30	1.39522602951646	0.2893853482	1.389618942	1.194455046
-5	30	1.36299014703385	0.3970249248	1.379547326	1.177010495
0	30	1.33356417636745	0.5000000000	1.366782088	1.154900454
5	30	1.30680331926900	0.5987301121	1.351534205	1.128490346
10	30	1.28258824236484	0.6936115514	1.333945417	1.098025671
15	30	1.26083199959487	0.7850042958	1.314098910	1.063650512
20	30	1.24147820254893	0.8732213443	1.292024906	1.025417216
25	30	1.22450551464335	0.9585204759	1.267708712	0.9833003338
30	30	1.20992794907589	1.041096228	1.241096228	0.9372061594
35	30	1.19779456694258	1.121071327	1.212099168	0.8869817775
40	30	1.18818967270681	1.198487854	1.180601034	0.8324254094
45	30	1.18122856919559	1.273295619	1.146462434	0.7732956188

-45	35	1.66060833733248	-0.5523063708	1.436832853	1.052306371
-40	35	1.60513719511325	-0.4092219057	1.458722813	1.083568473
-35	35	1.55407279274202	-0.2732177476	1.473217748	1.104269385
-30	35	1.50724338433295	-0.1443993857	1.481524374	1.116132476
-25	35	1.46439832802203	-0.02254263676	1.484649977	1.120596301
-20	35	1.42525065356024	0.09277980217	1.483412008	1.118828298
-15	35	1.38950718504573	0.2021068003	1.478457521	1.111752557
-10	35	1.35688911077701	0.3060257775	1.470286046	1.100082482
-5	35	1.32714360558984	0.4051315539	1.459270955	1.084351301
0	35	1.30005101317109	0.5000000000	1.445678627	1.064939445
5	35	1.27543046516472	0.5911718264	1.429685396	1.042098744
10	35	1.25314007906299	0.6791427690	1.411389243	1.015969129
15	35	1.23308137578754	0.7643574359	1.390821524	0.9865953820
20	35	1.21519846679805	0.8472044435	1.367953436	0.9539363685
25	35	1.19947996434911	0.9280115671	1.342702131	0.9178737678
30	35	1.18596175051669	1.007040224	1.314935865	0.8782194298
35	35	1.17472560718155	1.084476282	1.284476282	0.8347186373
40	35	1.16590223342441	1.160419467	1.251103435	0.7870572722
45	35	1.15967101350381	1.234868764	1.214560648	0.7348687635

-45	40	1.60716353742740	-0.4773489371	1.520093133	0.9773489371
-40	40	1.55326343821280	-0.3398747087	1.539874709	1.000923701
-35	40	1.50444939221610	-0.2111292903	1.552187805	1.015597878
-30	40	1.46029716925983	-0.09066354965	1.558448663	1.023059278
-25	40	1.42035405059428	0.02220075211	1.559778229	1.024643794
-20	40	1.38418055360707	0.1282459121	1.557044584	1.021385962
-15	40	1.35136986581012	0.2282814626	1.550903570	1.014067387
-10	40	1.32156153093898	0.3230975008	1.541838392	1.003263928
-5	40	1.29444514749228	0.4134402043	1.530190904	0.9893829921
0	40	1.26976191824133	0.5000000000	1.516187228	0.9726940616
5	40	1.24730534503209	0.5834075480	1.499957846	0.9533526366
10	40	1.22691782022979	0.6642336158	1.481550083	0.9314151194
15	40	1.20849295005262	0.7429904241	1.460939689	0.9068526084
20	40	1.19197519581828	0.8201328401	1.438036583	0.8795577493
25	40	1.17735972792696	0.8960573015	1.412687278	0.8493476241
30	40	1.16469777017687	0.9710989884	1.384677930	0.8159673833
35	40	1.15409867768331	1.045524082	1.353733402	0.7790891303
40	40	1.14573521022503	1.119517593	1.319517593	0.7383123166
45	40	1.13984875986768	1.193165287	1.281634736	0.6931652865

-45	45	1.55302048639962	-0.3966367959	1.596636796	0.8966367959
-40	45	1.50166493204575	-0.2662599789	1.613193083	0.9131930828
-35	45	1.45591343900744	-0.1460071465	1.622593819	0.9225938187
-30	45	1.41508243284514	-0.03485088599	1.626388909	0.9263889090
-25	45	1.37853218988244	0.06831869234	1.625743552	0.9257435517
-20	45	1.34569156190855	0.1645950318	1.621517576	0.9215175764
-15	45	1.31606530538340	0.2550055101	1.614331884	0.9143318839
-10	45	1.28923437614655	0.3404907271	1.604622039	0.9046220394
-5	45	1.26485076924150	0.4219007958	1.592677989	0.8926779886
0	45	1.24263181464856	0.5000000000	1.578673383	0.8786733827
5	45	1.22235602656473	0.5754753329	1.562687003	0.8626870029
10	45	1.20385691401821	0.6489460292	1.544714907	0.8447149075
15	45	1.18702275384028	0.7209723430	1.524680011	0.8246800112
20	45	1.17179627193077	0.7920626854	1.502435633	0.8024356332
25	45	1.15817503515844	0.8626774314	1.477764261	0.7777642615
30	45	1.14621686063295	0.9332292517	1.450375075	0.7503750752
35	45	1.13604748596915	1.004078591	1.419898835	0.7198988348
40	45	1.12786891553291	1.075521738	1.385880099	0.6858800988
45	45	1.12197168002483	1.147770651	1.347770651	0.6477706515


### +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	1.77578670786520	1.525250934	-0.3252509338	1.025250934
45	-40	1.70928404813278	1.539450503	-0.1722025339	1.039450503
45	-35	1.64868566413252	1.544751125	-0.03154261297	1.044751125
45	-30	1.59345971995109	1.543164255	0.09772883669	1.043164255
45	-25	1.54303129990317	1.536211767	0.2168065177	1.036211767
45	-20	1.49683908827955	1.525022054	0.3269224829	1.025022054
45	-15	1.45436067397215	1.510412120	0.4292608885	1.010412120
45	-10	1.41512983197494	1.492959588	0.5249144339	0.9929595878
45	-5	1.37873769898029	1.473054550	0.6148687579	0.9730545499
45	0	1.34483640576636	1.450942942	0.7000000000	0.9509429421
45	5	1.31313353208718	1.426753913	0.7810804613	0.9267539134
45	10	1.28339403376356	1.400524024	0.8587866822	0.9005240240
45	15	1.25543563638820	1.372209628	0.9337078655	0.8722096281
45	20	1.22912825742631	1.341696065	1.006352314	0.8416960654
45	25	1.20439761308161	1.308804707	1.077151829	0.8088047071
45	30	1.18122859409126	1.273295635	1.146462443	0.7732956351
45	35	1.15967104460501	1.234868783	1.214560662	0.7348687833
45	40	1.13984879173870	1.193165306	1.281634753	0.6931653059
45	45	1.12197168536769	1.147770655	1.347770655	0.6477706546

50	-45	1.78962848506769	1.588309595	-0.3883095945	0.9132001794
50	-40	1.71977561198277	1.608224226	-0.2299105390	0.9299105390
50	-35	1.65538461725211	1.617488640	-0.08247396964	0.9376843057
50	-30	1.59617573740595	1.618253484	0.05437604977	0.9383260863
50	-25	1.54176890600726	1.612232503	0.1813574662	0.9332738831
50	-20	1.49174472995157	1.600757500	0.2993570347	0.9236452127
50	-15	1.44568039444488	1.584837968	0.4093185425	0.9102871391
50	-10	1.40318009252562	1.565224689	0.5121721468	0.8938296436
50	-5	1.36388132377016	1.542455130	0.6087969939	0.8747237154
50	0	1.32746909974219	1.516900327	0.7000000000	0.8532806896
50	5	1.29367403054648	1.488793604	0.7865082310	0.8296963488
50	10	1.26227972151621	1.458260120	0.8689671137	0.8040757132
50	15	1.23311894419036	1.425331944	0.9479419472	0.7764456931
50	20	1.20607638644668	1.389963009	1.023920045	0.7467676326
50	25	1.18109109819172	1.352039436	1.097312514	0.7149459761
50	30	1.15815932076572	1.311386657	1.168454305	0.6808342448
50	35	1.13733696779870	1.267773923	1.237601088	0.6442388155
50	40	1.11874651357661	1.220920788	1.304924367	0.6049243670
50	45	1.10258255652342	1.170502948	1.370502948	0.5626187763

55	-45	1.80159418860850	1.641647311	-0.4416473106	0.7993900529
55	-40	1.72909685278013	1.667249031	-0.2794382315	0.8173165705
55	-35	1.66156006817371	1.680646057	-0.1266972689	0.8266972689
55	-30	1.59893331038867	1.684030007	0.01639995659	0.8290667365
55	-25	1.54103010074780	1.679236958	0.1501127755	0.8257106076
55	-20	1.48758330107169	1.667759712	0.2749702239	0.8176741534
55	-15	1.43828716505924	1.650781695	0.3916489743	0.8057860173
55	-10	1.39283103843858	1.629221993	0.5008876955	0.7906897515
55	-5	1.35091394373884	1.603773010	0.6034323745	0.7728701823
55	0	1.31226493904058	1.574944507	0.7000000000	0.7526842473
55	5	1.27664456865364	1.543090735	0.7912586144	0.7303799958
55	10	1.24385673376146	1.508442762	0.8778156674	0.7061192238
55	15	1.21374754877127	1.471126278	0.9602125019	0.6799899402
55	20	1.18620966200952	1.431180024	1.038921811	0.6520192721
55	25	1.16118448637608	1.388569056	1.114346556	0.6221827512
55	30	1.13866430069998	1.343195080	1.186818906	0.5904115510
55	35	1.11869316062472	1.294903954	1.256597741	0.5565977411
55	40	1.10137131215873	1.243494845	1.323866250	0.5206006953
55	45	1.08685583615852	1.188726712	1.388726712	0.4822516357

60	-45	1.81173075642426	1.686056190	-0.4860561900	0.6847698606
60	-40	1.73718159784049	1.717039784	-0.3212176339	0.7026582469
60	-35	1.66708416207958	1.734496561	-0.1644037977	0.7127369217
60	-30	1.60158381884572	1.740581492	-0.01625005812	0.7162500581
60	-25	1.54067269577484	1.737188365	0.1230895907	0.7142910358
60	-20	1.48423459246798	1.725925433	0.2537996328	0.7077883790
60	-15	1.43208772707875	1.708123560	0.3762842677	0.6975104628
60	-10	1.38401479582072	1.684857092	0.4910777264	0.6840775611
60	-5	1.33978664605176	1.656973106	0.5987779692	0.6679787342
60	0	1.29918248285404	1.625125034	0.7000000000	0.6495912414
60	5	1.26199678839599	1.589797654	0.7953449403	0.6291949690
60	10	1.22805441457690	1.551339182	0.8853794636	0.6069909595
60	15	1.19721139008173	1.509979528	0.9706231990	0.5831119525
60	20	1.16936135250731	1.465851241	1.051541102	0.5576344739
60	25	1.14443937757231	1.419005761	1.128539424	0.5305882233
60	30	1.12242188672300	1.369424255	1.201962328	0.5019623276
60	35	1.10332795669426	1.317028077	1.272089219	0.4717113805
60	40	1.08722176269788	1.261689015	1.339132971	0.4397613576
60	45	1.07421194709316	1.203236794	1.403236794	0.4060139525

65	-45	1.82011593077713	1.722285993	-0.5222859928	0.5699613189
65	-40	1.74400352363998	1.758124611	-0.3556918967	0.5866731408
65	-35	1.67186530853009	1.779355517	-0.1958143771	0.5965732751
65	-30	1.60400619509757	1.788046324	-0.04365389197	0.6006258650
65	-25	1.54057359588744	1.786097227	0.1002830139	0.5997169861
65	-20	1.48159097432208	1.775189606	0.2358689405	0.5946306788
65	-15	1.42699709618826	1.756771347	0.3632491325	0.5860421036
65	-10	1.37667076376961	1.732054435	0.4827555614	0.5745164183
65	-5	1.33045547324603	1.702029397	0.5948360546	0.5605155130
65	0	1.28818349501857	1.667490733	0.7000000000	0.5444098695
65	5	1.24968524128373	1.629055746	0.7987795782	0.5264873408
65	10	1.21480551339687	1.587192784	0.8917014211	0.5069663211
65	15	1.18340706497779	1.542239045	0.9792671105	0.4860040484
65	20	1.15537911663087	1.494422527	1.061940200	0.4637068396
65	25	1.13064270163602	1.443879895	1.140138423	0.4401384233
65	30	1.10915098847760	1.390668539	1.214227720	0.4153255604
65	35	1.09089061100536	1.334778325	1.284518076	0.3892635258
65	40	1.07588431178922	1.276143232	1.351261499	0.3619215327
65	45	1.06418914489398	1.214648701	1.414648701	0.3332461621

70	-45	1.82683318801248	1.750999070	-0.5509990696	0.4553264244
70	-40	1.74955710219040	1.790997088	-0.3832751806	0.4698845126
70	-35	1.67583823008379	1.815540695	-0.2211515114	0.4788176549
70	-30	1.60610385465793	1.826585146	-0.06590429139	0.4828375065
70	-25	1.54062868693728	1.826002738	0.08167476874	0.4826255270
70	-20	1.47955816075090	1.815514355	0.2211919319	0.4788080681
70	-15	1.42293964886811	1.796654729	0.3525624124	0.4719437256
70	-10	1.37074172162959	1.770750260	0.4759324435	0.4625152698
70	-5	1.32287860122072	1.738919452	0.5916085929	0.4509298032
70	0	1.27923392506651	1.702086680	0.7000000000	0.4375237704
70	5	1.23967042724176	1.660992252	0.8015736605	0.4225666220
70	10	1.20405154482750	1.616219627	0.8968196367	0.4062707192
70	15	1.17224385183821	1.568208013	0.9862254743	0.3887959206
70	20	1.14412924603741	1.517275621	1.070258046	0.3702580463
70	25	1.11961014852800	1.463636556	1.149351106	0.3507350230
70	30	1.09861363695241	1.407416123	1.223896943	0.3302724588
70	35	1.08109200832324	1.348662184	1.294239658	0.3088877738
70	40	1.06702673974372	1.287358362	1.360672111	0.2865750074
70	45	1.05642657898865	1.223431497	1.423431497	0.2633075313

75	-45	1.83196327368659	1.772750239	-0.5727502385	0.3410323986
75	-40	1.75385252975737	1.816090211	-0.4043308105	0.3526453092
75	-35	1.67896099391893	1.843346186	-0.2406211259	0.3599485257
75	-30	1.60780466501512	1.856360130	-0.08309488639	0.3634356016
75	-25	1.54075602599018	1.856960033	0.06723914500	0.3635963449
75	-20	1.47805937798024	1.846882620	0.2097748172	0.3608961104
75	-15	1.41985264601823	1.827722847	0.3442377354	0.3557622646
75	-10	1.36618151553515	1.800896378	0.4706168695	0.3485741339
75	-5	1.31702242252258	1.767627625	0.5890969532	0.3396597986
75	0	1.27230411885098	1.728951407	0.7000000000	0.3292965371
75	5	1.23191820559685	1.685715234	0.8037366411	0.3177114394
75	10	1.19574226037927	1.638601831	0.9007662231	0.3050874412
75	15	1.16364487261173	1.588139595	0.9915661257	0.2915661257
75	20	1.13549893965919	1.534724186	1.076608804	0.2772535101
75	25	1.11118883003654	1.478635686	1.156345315	0.2622246418
75	30	1.09061594694595	1.420054544	1.231193739	0.2465278721
75	35	1.07370120715508	1.359074408	1.301530376	0.2301882938
75	40	1.06038995679876	1.295716184	1.367685156	0.2132115088
75	45	1.05065003308438	1.229935528	1.429935528	0.1955856354

80	-45	1.83557492204369	1.787974910	-0.5879749100	0.2271047271
80	-40	1.75690542786289	1.833755409	-0.4191536716	0.2351770642
80	-35	1.68120742975377	1.863019886	-0.2543967992	0.2403371812
80	-30	1.60905623377435	1.877515397	-0.09530888504	0.2428931308
80	-25	1.54089292965212	1.879025412	0.05694988937	0.2431593873
80	-20	1.47703414202576	1.869288970	0.2016195729	0.2414425897
80	-15	1.41768578332725	1.849939433	0.3382848191	0.2380307444
80	-10	1.36295267250841	1.822455976	0.4668153307	0.2331846693
80	-5	1.31285970039906	1.788142016	0.5873021766	0.2271341923
80	0	1.26737090617795	1.748116694	0.7000000000	0.2200766483
80	5	1.22640041565623	1.703310531	0.8052760302	0.2121761128
80	10	1.18983633234719	1.654483350	0.9035665634	0.2035665634
80	15	1.15754741594511	1.602232188	0.9953422246	0.1943532737
80	20	1.12939874172426	1.547012520	1.081081392	0.1846165564
80	25	1.10525923650755	1.489154110	1.161250137	0.1744145577
80	30	1.08500904622411	1.428877832	1.236287867	0.1637862236
80	35	1.06854422626462	1.366310132	1.306596885	0.1527538499
80	40	1.05578198059195	1.301497283	1.372536075	0.1413255960
80	45	1.04665933970315	1.234413481	1.434413481	0.1294969118

85	-45	1.83772094677830	1.796985445	-0.5969854455	0.1134715232
85	-40	1.75873101291951	1.844250512	-0.4279601085	0.1176066807
85	-35	1.68256167123625	1.874747940	-0.2626088706	0.1202748599
85	-30	1.60982213370179	1.890162321	-0.1026105905	0.1216234436
85	-25	1.54099404087623	1.892245118	0.05078543947	0.1218056647
85	-20	1.47643793922384	1.882732838	0.1967264050	0.1209734480
85	-15	1.41640185491401	1.863279842	0.3347102673	0.1192715314
85	-10	1.36102772659093	1.835403165	0.4645323919	0.1168326382
85	-5	1.31037115403793	1.800454932	0.5862249360	0.1137750640
85	0	1.26441862394231	1.759607129	0.7000000000	0.1102013443
85	5	1.22309853078420	1.713842744	0.8061974794	0.1061974794
85	10	1.18630558366076	1.663970579	0.9052394178	0.1018342303
85	15	1.15390793709638	1.610630733	0.9975926080	0.09716759849
85	20	1.12576519832507	1.554316248	1.083739732	0.09224071943
85	25	1.10173619950470	1.495387915	1.164157007	0.08708515835
85	30	1.08168720420622	1.434091266	1.239297844	0.08172239647
85	35	1.06549834603401	1.370572343	1.309581317	0.07616521077
85	40	1.05306903126174	1.304892035	1.375384610	0.07041892843
85	45	1.04431750895124	1.237034974	1.437034974	0.06448220482

90	-45	1.83843181486089	1.799967603	-0.5999676030	0.000000000
90	-40	1.75933752442431	1.847730734	-0.4308803620	0.000000000
90	-35	1.68301320101068	1.878643704	-0.2653367142	0.000000000
90	-30	1.61007902707631	1.894369340	-0.1050395135	0.000000000
90	-25	1.54103005018147	1.896647535	0.04873255890	0.000000000
90	-20	1.47624152230190	1.887213265	0.1950956630	0.000000000
90	-15	1.41597573485116	1.867727532	0.3335185124	0.000000000
90	-10	1.36038727834043	1.839719939	0.4637712282	0.000000000
90	-5	1.30954227101867	1.804559067	0.5858658707	0.000000000
90	0	1.26343490606325	1.763434906	0.7000000000	0.000000000
90	5	1.22199847081364	1.717348398	0.8065041844	0.000000000
90	10	1.18512992333880	1.667125137	0.9057956515	0.000000000
90	15	1.15269712140332	1.613419919	0.9983399683	0.000000000
90	20	1.12455777300343	1.556738641	1.084621411	0.000000000
90	25	1.10056710029954	1.497452533	1.165119755	0.000000000
90	30	1.08058654031478	1.435815395	1.240293270	0.000000000
90	35	1.06449074661645	1.371979771	1.310566809	0.000000000
90	40	1.05217305462711	1.306011322	1.376323803	0.000000000
90	45	1.04354539842724	1.237898028	1.437898028	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	1.12197172573800	1.147770678	1.347770678	0.6477706779
40	45	1.12786899447015	1.075521778	1.385880147	0.6858801468
35	45	1.13604755317133	1.004078621	1.419898877	0.7198988774
30	45	1.14621689619982	0.9332292651	1.450375099	0.7503750985
25	45	1.15817506078718	0.8626774394	1.477764279	0.7777642787
20	45	1.17179627939638	0.7920626872	1.502435638	0.8024356383
15	45	1.18702276359609	0.7209723448	1.524680018	0.8246800180
10	45	1.20385692070720	0.6489460300	1.544714912	0.8447149122
5	45	1.22235603404268	0.5754753334	1.562687008	0.8626870081
0	45	1.24263182637139	0.5000000000	1.578673391	0.8786733909
-5	45	1.26485078735755	0.4219007947	1.592678001	0.8926780014
-10	45	1.28923440160118	0.3404907240	1.604622057	0.9046220573
-15	45	1.31606534569707	0.2550055026	1.614331912	0.9143319119
-20	45	1.34569162226869	0.1645950168	1.621517618	0.9215176177
-25	45	1.37853228264267	0.06831866329	1.625743614	0.9257436140
-30	45	1.41508255608322	-0.03485093257	1.626388990	0.9263889897
-35	45	1.45591362353287	-0.1460072284	1.622593936	0.9225939356
-40	45	1.50166520962795	-0.2662601206	1.613193252	0.9131932516
-45	45	1.55302060477087	-0.3966368642	1.596636864	0.8966368642

45	50	1.10258260946491	1.170502980	1.370502980	0.5626188034
40	50	1.10634611911943	1.098219273	1.412929968	0.5982192728
35	50	1.11278121973518	1.025993977	1.451197250	0.6303293353
30	50	1.12161687324869	0.9536735520	1.485785642	0.6593524424
25	50	1.13265711487705	0.8810195897	1.517099147	0.6856275929
20	50	1.14577424225682	0.8077244925	1.545466095	0.7094302882
15	50	1.16090363069239	0.7334216890	1.571141603	0.7309745977
10	50	1.17804024653966	0.6576909277	1.594309691	0.7504149320
5	50	1.19723427262113	0.5800592858	1.615081824	0.7678448212
0	50	1.21859096038659	0.5000000000	1.633494834	0.7832951706
-5	50	1.24227103498447	0.4169290972	1.649504763	0.7967290968
-10	50	1.26848909906359	0.3302017072	1.662973971	0.8080311040
-15	50	1.29751800280945	0.2391094009	1.673656971	0.8169952053
-20	50	1.32968947870489	0.1428807657	1.681177032	0.8233052859
-25	50	1.36539471759394	0.04068876780	1.684996116	0.8265098778
-30	50	1.40508293576966	-0.06833040005	1.684377128	0.8259904854
-35	50	1.44925101593230	-0.1850378961	1.678335506	0.8209209621
-40	50	1.49842788274923	-0.3102242353	1.665587643	0.8102242353
-45	50	1.55313585679049	-0.4444936022	1.644493602	0.7925242333

45	55	1.08685587401379	1.188726736	1.388726736	0.4822516525
40	55	1.08863563668376	1.116652191	1.434897464	0.5145807441
35	55	1.09338500654782	1.044005851	1.476920872	0.5440058509
30	55	1.10087072531701	0.9706608279	1.515208467	0.5708151138
25	55	1.11092021663657	0.8964107088	1.550105508	0.5952502853
20	55	1.12341935167935	0.8209814705	1.581889342	0.6175055654
15	55	1.13830994411994	0.7440396100	1.610768224	0.6377267757
10	55	1.15558969466474	0.6651974438	1.636881260	0.6560113204
5	55	1.17530863028067	0.5840147992	1.660293549	0.6724047816
0	55	1.19756908620763	0.5000000000	1.680991165	0.6868974088
-5	55	1.22252621536802	0.4126099377	1.698872983	0.6994183925
-10	55	1.25038484870561	0.3212511052	1.713735357	0.7098251389
-15	55	1.28140152588211	0.2252833200	1.725256607	0.7178924051
-20	55	1.31588202750222	0.1240284204	1.732973425	0.7232957792
-25	55	1.35417748232511	0.01678757159	1.736252397	0.7255917397
-30	55	1.39667717686748	-0.09712845591	1.734256824	0.7241944248
-35	55	1.44379082273637	-0.2183477461	1.725906902	0.7183477461
-40	55	1.49592783539723	-0.3473608122	1.709845292	0.7071012860
-45	55	1.55345464698415	-0.4844044409	1.684404441	0.6892874102

45	60	1.07421197039024	1.203236810	1.403236810	0.4060139613
40	60	1.07422079555468	1.131490237	1.452580759	0.4345027037
35	60	1.07741809639560	1.058654635	1.497841504	0.4606340069
30	60	1.08361722418407	0.9846083550	1.539366293	0.4846083550
25	60	1.09267901960009	0.9091575727	1.577441246	0.5065909397
20	60	1.10451451914998	0.8320464208	1.612290043	0.5267109021
15	60	1.11908226900237	0.7529625311	1.644069019	0.5450585021
10	60	1.13639084981734	0.6715425014	1.672865870	0.5616843717
5	60	1.15649611728618	0.5873742741	1.698692522	0.5765953966
0	60	1.17950116841298	0.5000000000	1.721477976	0.5897505842
-5	60	1.20555590296021	0.4089192170	1.741058113	0.6010551818
-10	60	1.23485333792620	0.3135942132	1.757159750	0.6103514661
-15	60	1.26763008793239	0.2134590329	1.769385448	0.6174099760
-20	60	1.30415946227484	0.1079350031	1.777189726	0.6219157783
-25	60	1.34474470514915	-0.003544471470	1.779854604	0.6234543462
-30	60	1.38970733797337	-0.1214960153	1.776462675	0.6214960153
-35	60	1.43936619484634	-0.2463292097	1.765868573	0.6153795076
-40	60	1.49401196539551	-0.3782682054	1.746679289	0.6043005693
-45	60	1.55386915072089	-0.5172461433	1.717246143	0.5873073347

45	65	1.06418916122687	1.214648712	1.414648712	0.3332461673
40	65	1.06267602148050	1.143266169	1.466614767	0.3574783369
35	65	1.06450660268188	1.070381067	1.514588584	0.3798488952
30	65	1.06954180287811	0.9958639978	1.558861638	0.4004937590
25	65	1.07768068246030	0.9195212826	1.599666294	0.4195212826
20	65	1.08886461442350	0.8411035137	1.637174202	0.4370115072
15	65	1.10307556820514	0.7603100283	1.671490251	0.4530133440
10	65	1.12033872883147	0.6767941650	1.702649534	0.4675431561
5	65	1.14071973053872	0.5901665557	1.730608447	0.4805806115
0	65	1.16432485901735	0.5000000000	1.755236686	0.4920649480
-5	65	1.19130095225891	0.4058353242	1.776307170	0.5018902758
-10	65	1.22182891967774	0.3071902559	1.793478397	0.5098973503
-15	65	1.25612296314192	0.2035729795	1.806280701	0.5158671631
-20	65	1.29442072915212	0.09450288580	1.814094165	0.5195106410
-25	65	1.33697458655663	-0.02045963380	1.816129287	0.5204596338
-30	65	1.38403674483382	-0.1416710329	1.811406831	0.5182575165
-35	65	1.43583791191601	-0.2693468117	1.798741116	0.5123513965
-40	65	1.49255934561135	-0.4034860223	1.776732713	0.5020887098
-45	65	1.55430296262547	-0.5437811722	1.743781172	0.4867231540

45	70	1.05642658708578	1.223431502	1.423431502	0.2633075333
40	70	1.05365973885468	1.152395651	1.477494860	0.2829849865
35	70	1.05434278364921	1.079536516	1.527663920	0.3012450307
30	70	1.05837996253111	1.004710672	1.574184526	0.3181771469
25	70	1.06570787634624	0.9277176420	1.617243443	0.3338493109
20	70	1.07629934361426	0.8483072332	1.656966258	0.3483072332
15	70	1.09016184335840	0.7661836018	1.693410726	0.3615719347
10	70	1.10733943285662	0.6810106434	1.726562371	0.3736381467
5	70	1.12791011795908	0.5924164656	1.756325036	0.3844708706
0	70	1.15198571696923	0.5000000000	1.782512477	0.3940023200
-5	70	1.17971113933078	0.4033391649	1.804838401	0.4021282916
-10	70	1.21125540109750	0.3020027889	1.822897984	0.4087014422
-15	70	1.24681049159866	0.1955676724	1.836156914	0.4135272982
-20	70	1.28657882905667	0.08364304973	1.843931319	0.4163569503
-25	70	1.33076355094196	-0.03409668882	1.845374045	0.4168820596
-30	70	1.37955177552757	-0.1578681833	1.839461118	0.4147299301
-35	70	1.43309469661452	-0.2877236132	1.824985908	0.4094613845
-40	70	1.49147918286241	-0.4234807936	1.800561553	0.4005716464
-45	70	1.55470636775016	-0.5646490507	1.764649051	0.3875005644

45	75	1.05065004022135	1.229935533	1.429935533	0.1955856367
40	75	1.04690591802883	1.159194796	1.485597767	0.2105002871
35	75	1.04668140865433	1.086392804	1.537455714	0.2243955823
30	75	1.04991682270890	1.011370885	1.585720355	0.2373280538
25	75	1.05658136773507	0.9339190101	1.630542320	0.2493380632
20	75	1.06667639439582	0.8537825599	1.672009595	0.2604491859
15	75	1.08023342290661	0.7706663188	1.710140453	0.2706663188
10	75	1.09731406987730	0.6842400396	1.744877187	0.2799739985
5	75	1.11800974962157	0.5941447051	1.776078903	0.2883344732
0	75	1.14243840754997	0.5000000000	1.803510763	0.2956848177
-5	75	1.17074373217085	0.4014147028	1.826835103	0.3019345559
-10	75	1.20308471847209	0.2980009714	1.845593418	0.3069608313
-15	75	1.23963309964851	0.1893940508	1.859197184	0.3106059492
-20	75	1.28055996908582	0.07527907588	1.866911149	0.3126728999
-25	75	1.32602508436062	-0.04457471006	1.867844234	0.3129229195
-30	75	1.37615964328185	-0.1702702156	1.860942068	0.3110734897
-35	75	1.43104856535261	-0.3017306641	1.844990050	0.3067991592
-40	75	1.49070338514475	-0.4386363161	1.818623202	0.2997341836
-45	75	1.55504676729028	-0.5803634398	1.780363440	0.2894825112

45	80	1.04665934203308	1.234413483	1.434413483	0.1294969120
40	80	1.04221744960934	1.163895430	1.491199764	0.1395098656
35	80	1.04133798506675	1.091152301	1.544252980	0.1488645789
30	80	1.04398809926153	1.016012426	1.593759740	0.1575939564
25	80	1.05016203795842	0.9382568066	1.639844755	0.1657199879
20	80	1.05988363502563	0.8576256253	1.682568330	0.1732533070
15	80	1.07320373461060	0.7738223714	1.721919002	0.1801918922
10	80	1.09019881119355	0.6865197922	1.757806307	0.1865197922
5	80	1.11097142339542	0.5953674343	1.790054762	0.1922060650
0	80	1.13564516692257	0.5000000000	1.818392165	0.1972027137
-5	80	1.16436336696129	0.4000493221	1.842441476	0.2014432562
-10	80	1.19727698103383	0.2951604318	1.861702919	0.2048395682
-15	80	1.23454179554356	0.1850130585	1.875547269	0.2072807007
-20	80	1.27630411471464	0.06934983988	1.883201591	0.2086303640
-25	80	1.32268989439921	-0.05198895819	1.883744141	0.2087260303
-30	80	1.37378753787339	-0.1790225302	1.876101522	0.2073784303
-35	80	1.42963232042801	-0.3115812996	1.859058215	0.2043732356
-40	80	1.49018131201972	-0.4492496637	1.831271697	0.1994737227
-45	80	1.55530202497029	-0.5913147491	1.791314749	0.1924282347

45	85	1.04431750991771	1.237034974	1.437034974	0.06448220488
40	85	1.03945750073164	1.166654870	1.494488337	0.06950872277
35	85	1.03818286266554	1.093953880	1.548254050	0.07421261314
30	85	1.04047721301027	1.018751738	1.598504367	0.07860894628
25	85	1.04635047181183	0.9408232243	1.645348455	0.08270727291
20	85	1.05584078307673	0.8599045870	1.688829726	0.08651139117
15	85	1.06901145725549	0.7756978241	1.728918287	0.09001868582
10	85	1.08594881482104	0.6878769734	1.765503263	0.09321945649
5	85	1.10676280130036	0.5960964443	1.798387384	0.09609644425
0	85	1.13158089123270	0.5000000000	1.827274884	0.09862377305
-5	85	1.16054626554246	0.3992337207	1.851763842	0.1007662793
-10	85	1.19380491937288	0.2934631430	1.871328722	0.1024779844
-15	85	1.23150240555921	0.1823957954	1.885315028	0.1037016277
-20	85	1.27376915387988	0.06581014055	1.892926835	0.1043675744
-25	85	1.32070967920334	-0.05640964937	1.893224344	0.1043936031
-30	85	1.37238558204757	-0.1842316175	1.885123926	0.1036849084
-35	85	1.42880152057352	-0.3174303751	1.867411561	0.1021352772
-40	85	1.48988174228816	-0.4555339386	1.838761004	0.09962867833
-45	85	1.55546059332993	-0.5977780681	1.797778068	0.09604313602

45	90	1.04354539903174	1.237898028	1.437898028	0.000000000
40	90	1.03854608442587	1.167564555	1.495572457	0.000000000
35	90	1.03713932011826	1.094878675	1.549574794	0.000000000
30	90	1.03931427221667	1.019657136	1.600072562	0.000000000
25	90	1.04508619066098	0.9416725093	1.647169753	0.000000000
20	90	1.05449812591284	0.8606596002	1.690904108	0.000000000
15	90	1.06761769198760	0.7763197916	1.731239501	0.000000000
10	90	1.08453464900545	0.6883274654	1.768058131	0.000000000
5	90	1.10536153185530	0.5963386053	1.801155298	0.000000000
0	90	1.13022720315778	0.5000000000	1.830227203	0.000000000
-5	90	1.15927487151725	0.3989625375	1.854863481	0.000000000
-10	90	1.19264877721922	0.2928987132	1.874529762	0.000000000
-15	90	1.23049095042704	0.1815255072	1.888562988	0.000000000
-20	90	1.27292635811508	0.06463354455	1.896159506	0.000000000
-25	90	1.32005217255005	-0.05787815457	1.896373563	0.000000000
-30	90	1.37192087394747	-0.1859604370	1.888118329	0.000000000
-35	90	1.42852678034088	-0.3193692999	1.870180632	0.000000000
-40	90	1.48978313377782	-0.4576141395	1.841240091	0.000000000
-45	90	1.55551343571456	-0.5999140986	1.799914099	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	1.55551342544463	-0.5999140914	1.799914091	1.347006271e-16
-90	40	1.62543526979193	-0.7451556561	1.744809652	1.524875889e-16
-90	35	1.69914468650940	-0.8918578435	1.674589354	1.704534253e-16
-90	30	1.77611453103219	-1.038160304	1.588057266	1.883703093e-16
-90	25	1.85570115026385	-1.181836403	1.484253194	2.059655567e-16
-90	20	1.93714659709538	-1.320322363	1.362543157	2.229251955e-16
-90	15	2.01959870322327	-1.450782546	1.222710608	2.389019601e-16
-90	10	2.10212117389390	-1.570185230	1.065029511	2.535245715e-16
-90	5	2.18372948394316	-1.675419734	0.8903245651	2.664120814e-16
-90	-2.84217e-14	2.26341325758723	-1.763413258	0.7000000000	2.771881801e-16
-90	-5	2.34015308612924	-1.831248097	0.4960422196	2.854955520e-16
-90	-10	2.41295647178008	-1.876298241	0.2809945059	2.910126035e-16
-90	-15	2.48086144828431	-1.896328144	0.05790580892	2.934655592e-16
-90	-20	2.54295936266411	-1.889600148	-0.1697433257	2.926416173e-16
-90	-25	2.59841953864425	-1.854967862	-0.3981395487	2.884003854e-16
-90	-30	2.64650081742557	-1.791936939	-0.6232504087	2.806813236e-16
-90	-35	2.68656115044939	-1.700702058	-0.8409481707	2.695082732e-16
-90	-40	2.71805937889892	-1.582154283	-1.047134891	2.549903578e-16
-90	-45	2.74056857295673	-1.437874622	-1.237874622	2.373211953e-16

-85	45	1.55546057822738	-0.5977780574	1.797778057	0.09604313509
-85	40	1.62519367105321	-0.7421839427	1.742316088	0.1086770130
-85	35	1.69864199633153	-0.8878864738	1.671808571	0.1214243327
-85	30	1.77527855088982	-1.033042254	1.585102358	0.1341238179
-85	25	1.85446442396144	-1.175456862	1.481278366	0.1465834817
-85	20	1.93545346631145	-1.312616022	1.359738278	0.1585833533
-85	15	2.01741109738852	-1.441748292	1.220289887	0.1698809629
-85	10	2.09942380246225	-1.559897191	1.063215452	0.1802176522
-85	5	2.18053441313077	-1.664033239	0.8893283759	0.1893283759
-85	-2.84217e-14	2.25975921379249	-1.751160148	0.7000000000	0.1969509927
-85	-5	2.33610655175845	-1.818428087	0.4971638252	0.2028361748
-85	-10	2.40860725220054	-1.863259532	0.2832935822	0.2067584180
-85	-15	2.47631966901916	-1.883445542	0.06135769176	0.2085244651
-85	-20	2.53834954597635	-1.877248091	-0.1652475445	0.2079822583
-85	-25	2.59387161421469	-1.843490627	-0.3927876263	0.2050288630
-85	-30	2.64214165965582	-1.781622116	-0.6172951429	0.1996160696
-85	-35	2.68250635790453	-1.691759239	-0.8346863414	0.1917540866
-85	-40	2.71440571507892	-1.574701159	-1.040880978	0.1815128316
-85	-45	2.73738947963163	-1.431933311	-1.231933311	0.1690222634

-80	45	1.55530199294891	-0.5913147267	1.791314727	0.1924282308
-80	40	1.62446748036783	-0.7332150917	1.734790329	0.2174490937
-80	35	1.69713398158367	-0.8759321580	1.663438069	0.2426139631
-80	30	1.77277584423664	-1.017675995	1.576230644	0.2676072258
-80	25	1.85076944440017	-1.156350060	1.472368718	0.2920592051
-80	20	1.93040409634860	-1.289586957	1.351356384	0.3155524649
-80	15	2.01089553662769	-1.414801723	1.213069575	0.3376312065
-80	10	2.09139878688118	-1.529258153	1.057812963	0.3578129632
-80	5	2.17103454694017	-1.630159694	0.8863648247	0.3756046272
-80	-2.84217e-14	2.24889706933042	-1.714731270	0.7000000000	0.3905168778
-80	-5	2.32407568980428	-1.780319475	0.5004978967	0.4020818482
-80	-10	2.39567039164753	-1.824489096	0.2901298561	0.4098701439
-80	-15	2.46279726902490	-1.845108619	0.07163003946	0.4135059222
-80	-20	2.52460468782589	-1.840442413	-0.1518513734	0.4126831443
-80	-25	2.58028594848234	-1.809232411	-0.3768127575	0.4071799787
-80	-30	2.62909071518181	-1.750768409	-0.5994817468	0.3968711978
-80	-35	2.67033558201585	-1.664944335	-0.8159103435	0.3817380981
-80	-40	2.70341245540549	-1.552296571	-1.022081295	0.3618752578
-80	-45	2.72779905144447	-1.414025244	-1.214025244	0.3374942922

-75	45	1.55504669986355	-0.5803633930	1.780363393	0.2894824987
-75	40	1.62326242646054	-0.7180954515	1.722103444	0.3263876925
-75	35	1.69463016780632	-0.8558831807	1.649399624	0.3633078033
-75	30	1.76862954752526	-0.9920336132	1.561426008	0.3997892017
-75	25	1.84466583253783	-1.124616595	1.457571160	0.4353147046
-75	20	1.92208897565270	-1.251504895	1.337495647	0.4693143222
-75	15	2.00019443010005	-1.370408067	1.201174331	0.5011743311
-75	10	2.07824658697189	-1.478934297	1.048939510	0.5302538468
-75	5	2.15548248742000	-1.574641328	0.8815075971	0.5558984683
-75	-2.84217e-14	2.23112299824681	-1.655099326	0.7000000000	0.5774571239
-75	-5	2.30438180242372	-1.717956188	0.5059539773	0.5942995696
-75	-10	2.37446827031023	-1.761000560	0.3013245978	0.6058332742
-75	-15	2.44059230508465	-1.782229901	0.08847834109	0.6115216589
-75	-20	2.50197078819983	-1.779922594	-0.1298239606	0.6109034178
-75	-25	2.55783338511455	-1.752710757	-0.3504562776	0.6036120281
-75	-30	2.60742931779954	-1.699653507	-0.5699705442	0.5893953807
-75	-35	2.65004122638911	-1.620312972	-0.7846591261	0.5681361485
-75	-40	2.68498757529726	-1.514813563	-0.9906293174	0.5398676670
-75	-45	2.71164115347006	-1.383903446	-1.183903446	0.5047904071

-70	45	1.55470625248242	-0.5646489718	1.764648972	0.3875005357
-70	40	1.62158493545728	-0.6965665067	1.704038514	0.4355145917
-70	35	1.69114590853230	-0.8275572926	1.629565624	0.4831913388
-70	30	1.76288146032422	-0.9560779201	1.540666979	0.5299690217
-70	25	1.83624318216898	-1.080434992	1.436968940	0.5752312943
-70	20	1.91066232639812	-1.198820489	1.318320091	0.6183200914
-70	15	1.98554500409091	-1.309329244	1.184808310	0.6585419890
-70	10	2.06029217495888	-1.410000094	1.036784550	0.6951831815
-70	5	2.13428784885288	-1.498830981	0.8748750512	0.7275149805
-70	-2.84217e-14	2.20691507361683	-1.573821809	0.7000000000	0.7548094098
-70	-5	2.27754084412899	-1.632992137	0.5133873686	0.7763456479
-70	-10	2.34551813187888	-1.674419680	0.3165911431	0.7914240403
-70	-15	2.41018138504985	-1.696279437	0.1115086984	0.7993803413
-70	-20	2.47084405781529	-1.696892906	-0.09960362574	0.7996036257
-70	-25	2.52679536839200	-1.674785920	-0.3141193292	0.7915573407
-70	-30	2.57730392503248	-1.628762156	-0.5290414039	0.7748060607
-70	-35	2.62162152348367	-1.557984917	-0.7410165523	0.7490452523
-70	-40	2.65899070901166	-1.462067576	-0.9463701795	0.7141341954
-70	-45	2.68866532901882	-1.341174031	-1.141174031	0.6701325434

-65	45	1.55430272063084	-0.5437810097	1.743781010	0.4867230783
-65	40	1.61944959408620	-0.6682713723	1.680296078	0.5447738877
-65	35	1.68670711786865	-0.7907128618	1.603766876	0.6018692919
-65	30	1.75559266644077	-0.9097730343	1.513932841	0.6573879622
-65	25	1.82562447409259	-1.024062583	1.410682054	0.7106820539
-65	20	1.89633620734520	-1.132156420	1.294056355	0.7610870380
-65	15	1.96726787827497	-1.232593505	1.164247031	0.8079216201
-65	10	2.03796923782301	-1.323884914	1.021600120	0.8504915031
-65	5	2.10799705160605	-1.404516517	0.8666236048	0.8880906371
-65	-2.84217e-14	2.17690541916983	-1.472946333	0.7000000000	0.9199999842
-65	-5	2.24423915883361	-1.527607460	0.5226073332	0.9454888861
-65	-10	2.30951619884336	-1.566906446	0.3355486270	0.9638143044
-65	-15	2.37221654118543	-1.589236051	0.1401908874	0.9742267702
-65	-20	2.43177682598448	-1.593004470	-0.06179132728	0.9759840129
-65	-25	2.48757746519003	-1.576672279	-0.2683681871	0.9683681871
-65	-30	2.53893488731674	-1.538811171	-0.4771081784	0.9507132626
-65	-35	2.58509831623555	-1.478185549	-0.6851404333	0.9224430707
-65	-40	2.62525451871130	-1.393859315	-0.8891366528	0.8831211021
-65	-45	2.65853545965420	-1.285320703	-1.085320703	0.8325087162

-60	45	1.55386883015485	-0.5172459335	1.717245933	0.5873072135
-60	40	1.61688380939685	-0.6327612063	1.650499510	0.6539999874
-60	35	1.68135559213204	-0.7450647322	1.571803711	0.7188384583
-60	30	1.74684928100479	-0.8531036347	1.481214748	0.7812147478
-60	25	1.81297388330000	-0.9558512014	1.378874564	0.8405360830
-60	20	1.87937830757279	-1.052300208	1.264991070	0.8962209428
-60	15	1.94574927593844	-1.141453591	1.139826164	0.9476936728
-60	10	2.01179927345478	-1.222304302	1.003688717	0.9943728525
-60	5	2.07725362148663	-1.293812904	0.8569382936	1.035658363
-60	-2.84217e-14	2.14184501758347	-1.354892196	0.7000000000	1.070922509
-60	-5	2.20529562565649	-1.404383610	0.5333880231	1.099496390
-60	-10	2.26729602705949	-1.441035447	0.3577430802	1.120657338
-60	-15	2.32748958906798	-1.463493546	0.1738834901	1.133623527
-60	-20	2.38545946271433	-1.470305396	-0.01713251639	1.137556350
-60	-25	2.44070802563314	-1.459933204	-0.2139318624	1.131567963
-60	-30	2.49263973382052	-1.430790435	-0.4147423776	1.114742378
-60	-35	2.54054697126377	-1.381306637	-0.6173050888	1.086172893
-60	-40	2.58360027534153	-1.310026266	-0.8187923724	1.045019152
-60	-45	2.62084664808968	-1.215746879	-1.015746879	0.9905869222

-55	45	1.55345425587956	-0.4844041930	1.684404193	0.6892872366
-55	40	1.61393081609501	-0.5895047194	1.614203008	0.7628794174
-55	35	1.67515535141129	-0.6903063861	1.533461504	0.8334615044
-55	30	1.73676864326149	-0.7860987859	1.442529480	0.9005360648
-55	25	1.79849183094285	-0.8762534784	1.341757537	0.9636630601
-55	20	1.86010400782772	-0.9601901753	1.231465760	1.022436168
-55	15	1.92143669432300	-1.037352365	1.111932325	1.076465715
-55	10	1.98236201423975	-1.107177556	0.9833887659	1.125357840
-55	5	2.04276997415276	-1.169058473	0.8460236951	1.168687324
-55	-2.84217e-14	2.10255644825577	-1.222313413	0.7000000000	1.205976835
-55	-5	2.16161010958353	-1.266157577	0.5454812340	1.236676849
-55	-10	2.21978947010675	-1.299669177	0.3826697677	1.260141924
-55	-15	2.27690671082372	-1.321765936	0.2118592888	1.275614241
-55	-20	2.33270709748246	-1.331185768	0.03350288713	1.282210078
-55	-25	2.38684322374923	-1.326475513	-0.1516995190	1.278911922
-55	-30	2.43885135937842	-1.305999771	-0.3426944541	1.264574654
-55	-35	2.48812467929046	-1.267973754	-0.5379485500	1.237948550
-55	-40	2.53388254951702	-1.210529949	-0.7353050490	1.197725964
-55	-45	2.57515462095383	-1.131842712	-0.9318427125	1.142628568

-50	45	1.55313537134090	-0.4444933070	1.644493307	0.7925239856
-50	40	1.61065737212422	-0.5379083798	1.570908539	0.8709085387
-50	35	1.66819637737972	-0.6261373832	1.488529885	0.9449414629
-50	30	1.72550310110963	-0.7088580285	1.397934508	1.014352326
-50	25	1.78241967702321	-0.7858380339	1.299596122	1.078946220
-50	20	1.83886600506505	-0.8568980716	1.193870509	1.138572671
-50	15	1.89481495967952	-0.9218683598	1.080988479	1.193089216
-50	10	1.95027858091747	-0.9805547098	0.9610617417	1.242332911
-50	5	2.00529108682976	-1.032703722	0.8340942002	1.286091128
-50	-2.84217e-14	2.05989356228375	-1.077970017	0.7000000000	1.324074059
-50	-5	2.11412045317153	-1.115885249	0.5586283591	1.355888717
-50	-10	2.16798251203206	-1.145824730	0.4097966946	1.381010924
-50	-15	2.22145037385586	-1.166975439	0.2533352773	1.398758476
-50	-20	2.27443426323365	-1.178303616	0.08914743968	1.408263945
-50	-25	2.32675782945314	-1.178523723	-0.08270846658	1.408448637
-50	-30	2.37812838974094	-1.166076169	-0.2619095248	1.398003899
-50	-35	2.42810031642034	-1.139120294	-0.4477243859	1.375385234
-50	-40	2.47602942467933	-1.095554544	-0.6388292292	1.338829229
-50	-45	2.52102487034115	-1.033086659	-0.8330866586	1.286412450

-45	45	1.55302027596265	-0.3966366744	1.596636674	0.8966366744
-45	40	1.60716324850882	-0.4773487614	1.520092985	0.9773487614
-45	35	1.66060794615703	-0.5523061230	1.436832680	1.052306123
-45	30	1.71323800223366	-0.6215775470	1.347543099	1.121577547
-45	25	1.76503567356875	-0.6852972353	1.252713178	1.185297235
-45	20	1.81605120900940	-0.7436156665	1.152639085	1.243615667
-45	15	1.86638638454192	-0.7966655774	1.047440494	1.296665577
-45	10	1.91617371036640	-0.8445289715	0.9370767340	1.344528972
-45	5	1.96556278861745	-0.8872107914	0.8213652182	1.387210791
-45	-2.84217e-14	2.01470900888630	-0.9246144023	0.7000000000	1.424614402
-45	-5	2.06376573695896	-0.9565182643	0.5725711637	1.456518264
-45	-10	2.11286988162370	-0.9825455299	0.4385872229	1.482545530
-45	-15	2.16213203525361	-1.002133860	0.2975044453	1.502133860
-45	-20	2.21161763203577	-1.014496024	0.1487685273	1.514496024
-45	-25	2.26132759507199	-1.018578568	-0.008124815986	1.518578568
-45	-30	2.31116720710657	-1.013014096	-0.1735390955	1.513014096
-45	-35	2.36090357960701	-0.9960745541	-0.3475626805	1.496074554
-45	-40	2.41011042839195	-0.9656373236	-0.5298157376	1.465637324
-45	-45	2.45809510077992	-0.9191818681	-0.7191818681	1.419181868


### -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	2.74056858651088	-1.437874632	-1.237874632	2.373211965e-16
-40	-90	2.75378369075343	-1.270098036	-1.409520694	2.583417765e-16
-35	-90	2.75752458984866	-1.081651127	-1.558831905	2.766271262e-16
-30	-90	2.75174339031037	-0.8758716952	-1.683079681	2.918430903e-16
-25	-90	2.73652036428063	-0.6565034796	-1.780129716	3.037282918e-16
-20	-90	2.71205851859602	-0.4275786432	-1.848501377	3.121014054e-16
-15	-90	2.67869728250255	-0.1932978728	-1.887422886	3.168679155e-16
-10	-90	2.63688444628255	0.04210982118	-1.896824246	3.180192501e-16
-5	-90	2.58717635981143	0.2745127227	-1.877331373	3.156320616e-16
-2.84217e-14	-90	2.53023446524000	0.5000000000	-1.830234465	3.098643539e-16
5	-90	2.46681842225250	0.7149973918	-1.757431433	3.009485539e-16
10	-90	2.39778248429455	0.9163705588	-1.661354781	2.891825574e-16
15	-90	2.32404332567718	1.101506674	-1.544853470	2.749152616e-16
20	-90	2.24657447266658	1.268373723	-1.411089454	2.585338943e-16
25	-90	2.16638013870224	1.415551808	-1.263407189	2.404480330e-16
30	-90	2.08447638173687	1.542238191	-1.105209500	2.210744036e-16
35	-90	2.00187696317766	1.648229455	-0.9398416068	2.008226775e-16
40	-90	1.91955757651913	1.733867826	-0.7704664147	1.800801988e-16
45	-90	1.83843181123929	1.799967600	-0.5999676005	1.592001161e-16

-45	-85	2.73738950064457	-1.431933326	-1.231933326	0.1690222647
-40	-85	2.75001068833943	-1.263716186	-1.401915101	0.1838937430
-35	-85	2.75319925350439	-1.075130391	-1.549519329	0.1968074397
-30	-85	2.74693779248168	-0.8695434530	-1.672118844	0.2075335074
-25	-85	2.73133174003457	-0.6506990217	-1.767682015	0.2158942015
-20	-85	2.70660581591458	-0.4226010814	-1.834825638	0.2217685074
-15	-85	2.67311301121395	-0.1893952687	-1.872858169	0.2250959227
-10	-85	2.63130961176771	0.04476446855	-1.881768993	0.2258755187
-5	-85	2.58175140179204	0.2758353196	-1.862214022	0.2241646804
-2.84217e-14	-85	2.52508997710430	0.5000000000	-1.815481247	0.2200760925
5	-85	2.46206736094032	0.7137729228	-1.743435689	0.2137729228
10	-85	2.39351292993794	0.9140949913	-1.648449396	0.2054626990
15	-85	2.32031795818206	1.098409501	-1.533294660	0.1953879651
20	-85	2.24342487006598	1.264716531	-1.401041402	0.1838173043
25	-85	2.16380840858603	1.411603736	-1.254940521	0.1710351334
30	-85	2.08245751012182	1.538252871	-1.098306724	0.1573314518
35	-85	2.00036323495685	1.644426042	-0.9344097712	0.1429923265
40	-85	1.91848316913209	1.730416970	-0.7663538442	0.1282893381
45	-85	1.83772094134782	1.796985442	-0.5969854417	0.1134715229

-45	-80	2.72779909255526	-1.414025273	-1.214025273	0.3374942973
-40	-80	2.73865819315176	-1.244532929	-1.379053386	0.3665932062
-35	-80	2.74021747558660	-1.055581269	-1.521600289	0.3917280714
-30	-80	2.73254725780790	-0.8506172546	-1.639337707	0.4124883546
-25	-80	2.71582628216556	-0.6333768606	-1.730534521	0.4285688136
-20	-80	2.69034205539134	-0.4077744274	-1.794089741	0.4397753137
-15	-80	2.65648425691803	-0.1777881918	-1.829539968	0.4460261452
-10	-80	2.61472882084455	0.05265161608	-1.837038757	0.4473483839
-5	-80	2.56562731413110	0.2797627471	-1.817323320	0.4438720205
-2.84217e-14	-80	2.50980205865538	0.5000000000	-1.771672526	0.4358225538
5	-80	2.44794393369171	0.7101351370	-1.701855607	0.4235119473
10	-80	2.38081268116285	0.9073281699	-1.610072844	0.4073281699
15	-80	2.30922245041944	1.089186141	-1.498872615	0.3877205691
20	-80	2.23403065905411	1.253805970	-1.371064881	0.3651846173
25	-80	2.15612358973569	1.399800036	-1.229627403	0.3402453739
30	-80	2.07641218549934	1.526309103	-1.077619511	0.3134422812
35	-80	1.99581896854355	1.632997155	-0.9180876290	0.2853125061
40	-80	1.91524893086551	1.720018926	-0.7539619379	0.2563727186
45	-80	1.83557490909887	1.787974901	-0.5879749009	0.2271047255

-45	-75	2.71164120757037	-1.383903484	-1.183903484	0.5047904171
-40	-75	2.71963055128188	-1.212442614	-1.340809638	0.5468332943
-35	-75	2.71856768306607	-1.023050389	-1.475141377	0.5828273754
-30	-75	2.70865530551002	-0.8192735193	-1.585048764	0.6122769711
-25	-75	2.69018985674658	-0.6048127057	-1.669278493	0.6348462589
-20	-75	2.66354903945655	-0.3834143162	-1.727160886	0.6503557993
-15	-75	2.62917347601898	-0.1587730865	-1.758574629	0.6587730865
-10	-75	2.58755844158713	0.06554656244	-1.763907882	0.6602021272
-5	-75	2.53924065447837	0.2861771217	-1.744006682	0.6548696168
-2.84217e-14	-75	2.48479339106636	0.5000000000	-1.700126109	0.6431118528
5	-75	2.42482738850207	0.7041884335	-1.633884475	0.6253624602
10	-75	2.36000048421662	0.8962462476	-1.547224140	0.6021418936
15	-75	2.29100103513592	1.074039650	-1.442345141	0.5740396504
20	-75	2.21855636966834	1.235824432	-1.321661011	0.5417024352
25	-75	2.14341921939606	1.380263815	-1.187731844	0.5058162231
30	-75	2.06637682684581	1.506446344	-1.043216202	0.4670933737
35	-75	1.98824114303203	1.613892240	-0.8908029824	0.4262543744
40	-75	1.90983075803082	1.702544064	-0.7331362086	0.3840076897
45	-75	1.83196322269139	1.772750203	-0.5727502031	0.3410323891

-45	-70	2.68866546079979	-1.341174121	-1.141174121	0.6701325763
-40	-70	2.69278295595301	-1.167293362	-1.287002854	0.7232098943
-35	-70	2.68824290724591	-0.9776360704	-1.410283009	0.7680802010
-30	-70	2.67541763592120	-0.7758289837	-1.509800622	0.8043016499
-25	-70	2.65474599879831	-0.5654718087	-1.584911667	0.8316398349
-20	-70	2.62669801200421	-0.3500403931	-1.635466786	0.8500403931
-15	-70	2.59176902602188	-0.1328293534	-1.661751299	0.8596071737
-10	-70	2.55046293211166	0.08308995179	-1.664414377	0.8605764546
-5	-70	2.50328416674499	0.2948908593	-1.644408206	0.8532948040
-2.84217e-14	-70	2.45073709164037	0.5000000000	-1.602939561	0.8382014513
5	-70	2.39333087318273	0.6961000055	-1.541433319	0.8158150103
10	-70	2.33158774756203	0.8811317342	-1.461505475	0.7867236541
15	-70	2.26604905459831	1.053298671	-1.364938752	0.7515762415
20	-70	2.19727582387646	1.211072684	-1.253656142	0.7110726838
25	-70	2.12585776185914	1.353204606	-1.129703183	0.6659574961
30	-70	2.05242146830532	1.478740201	-0.9952277564	0.6170124436
35	-70	1.97763224430936	1.587037459	-0.8524503799	0.5650457284
40	-70	1.90219129907206	1.677781863	-0.7036257663	0.5108779990
45	-70	1.82683305945706	1.750998982	-0.5509989815	0.4553263924

-45	-65	2.65853553251714	-1.285320752	-1.085320752	0.8325087391
-40	-65	2.65793895451419	-1.108921414	-1.217437876	0.8941159656
-35	-65	2.64926692796816	-0.9195230864	-1.327289066	0.9453404170
-30	-65	2.63308380464995	-0.7207577659	-1.414414474	0.9859676619
-25	-65	2.60995774019761	-0.5160085789	-1.478837429	1.016008579
-20	-65	2.58044552026471	-0.3083640722	-1.520962035	1.035651605
-15	-65	2.54507623661001	-0.1006015239	-1.541475402	1.045217146
-10	-65	2.50433843244085	0.1048048589	-1.541263019	1.045118110
-5	-65	2.45868331115893	0.3056569026	-1.521351768	1.035833341
-2.84217e-14	-65	2.40852706096354	0.5000000000	-1.482866831	1.017887520
5	-65	2.35425968891311	0.6860890819	-1.427007939	0.9918400907
10	-65	2.29625893980834	0.8623593218	-1.355041834	0.9582817449
15	-65	2.23490084231471	1.027404575	-1.268300671	0.9178336764
20	-65	2.17056957611347	1.179964157	-1.168186166	0.8711495161
25	-65	2.10366997901070	1.318920059	-1.056179733	0.8189200587
30	-65	2.03464894823279	1.443309704	-0.9338603346	0.7618815864
35	-65	1.96400230564758	1.552346438	-0.8029064677	0.7008167954
40	-65	1.89228665874155	1.645451637	-0.6650961040	0.6365547674
45	-65	1.82011574004826	1.722285865	-0.5222858647	0.5699612592

-45	-60	2.62084683383592	-1.215747000	-1.015747000	0.9905869924
-40	-60	2.61491759241523	-1.037202535	-1.131966644	1.057686435
-35	-60	2.60172582772714	-0.8490270841	-1.226610341	1.112328999
-30	-60	2.58200540885369	-0.6547079225	-1.300012790	1.154707922
-25	-60	2.55643508356823	-0.4572662737	-1.352864149	1.185221669
-20	-60	2.52561647779035	-0.2592674403	-1.386070147	1.204393161
-15	-60	2.49007431794828	-0.06286791388	-1.400651653	1.212811797
-10	-60	2.45025475064843	0.1301247681	-1.397666678	1.211088421
-5	-60	2.40653169625120	0.3181844653	-1.378161071	1.199826854
-2.84217e-14	-60	2.35921666985089	0.5000000000	-1.343141569	1.179608335
5	-60	2.30857304361381	0.6744146744	-1.293568851	1.150987513
10	-60	2.25483302958898	0.8403755832	-1.230365857	1.114497247
15	-60	2.19820884052088	0.9968932917	-1.154431010	1.070656243
20	-60	2.13890859269523	1.143012772	-1.066663071	1.019983400
25	-60	2.07715512899962	1.277798178	-0.9679935756	0.9630165399
30	-60	2.01320903082894	1.400334449	-0.8594250098	0.9003344492
35	-60	1.94738496355050	1.509743237	-0.7420627912	0.8325753407
40	-60	1.88006932517056	1.605215454	-0.6171444876	0.7604537245
45	-60	1.81173038454507	1.686055947	-0.4860559466	0.6847697200

-45	-55	2.57515450396851	-1.131842638	-0.9318426383	1.142628517
-40	-55	2.56356573323318	-0.9521189394	-1.030567963	1.211756733
-35	-55	2.54578345214877	-0.7666362579	-1.108944047	1.266636258
-30	-55	2.52266326726713	-0.5785269828	-1.168063532	1.308032167
-25	-55	2.49492871477017	-0.3902677668	-1.209185387	1.336826000
-20	-55	2.46317527625128	-0.2037742595	-1.233603886	1.353924017
-15	-55	2.42787910258386	-0.02050732966	-1.242559800	1.360195015
-10	-55	2.38940858513818	0.1584218497	-1.237185954	1.356432208
-5	-55	2.34803873741906	0.3321547227	-1.218480298	1.343334367
-2.84217e-14	-55	2.30396666156528	0.5000000000	-1.187299001	1.321500987
5	-55	2.25732894255570	0.6613610526	-1.144365271	1.291438466
10	-55	2.20822329344922	0.8156767883	-1.090292030	1.253575975
15	-55	2.15671273374678	0.9623726052	-1.025598055	1.208276766
20	-55	2.10284600106470	1.100821591	-0.9507437531	1.155863220
25	-55	2.04668253884474	1.230319661	-0.8661755671	1.096647938
30	-55	1.98830517292232	1.350070165	-0.7723647153	1.030960873
35	-55	1.92784487537886	1.459185361	-0.6698586610	0.9591853607
40	-55	1.86550663194276	1.556706866	-0.5593342039	0.8817953027
45	-55	1.80159357047809	1.641646919	-0.4416469189	0.7993897786

-45	-50	2.52102490025994	-1.033086677	-0.8330866768	1.286412465
-40	-50	2.50381447788070	-0.8538530576	-0.9134592453	1.353853058
-35	-50	2.48173458383985	-0.6730764507	-0.9753267949	1.405766096
-30	-50	2.45567268028401	-0.4932747749	-1.020402376	1.443588999
-25	-50	2.42632198338787	-0.3162012974	-1.050349331	1.468717478
-20	-50	2.39420485609292	-0.1430197566	-1.066682261	1.482422434
-15	-50	2.35969989811917	0.02553758884	-1.070717825	1.485808674
-10	-50	2.32306642112969	0.1890373652	-1.063556737	1.479799808
-5	-50	2.28446606527795	0.3472373153	-1.046085476	1.465139679
-2.84217e-14	-50	2.24398094705500	0.5000000000	-1.018989135	1.442403149
5	-50	2.20163130559275	0.6472235084	-0.9827724008	1.412013701
10	-50	2.15739455922103	0.7887860159	-0.9377868817	1.374266368
15	-50	2.11121245668888	0.9244992990	-0.8842529518	1.329346068
20	-50	2.06300563524257	1.054068453	-0.8222905641	1.277353451
25	-50	2.01269130726113	1.177058225	-0.7519560498	1.218335786
30	-50	1.96019833461682	1.292864446	-0.6732815043	1.152320004
35	-50	1.90549147134189	1.400695500	-0.5863264831	1.079356078
40	-50	1.84859501525423	1.499565278	-0.4912355107	0.9995652776
45	-50	1.78962786386874	1.588309217	-0.3883092167	0.9131998624

-45	-45	2.45809478153349	-0.9191816838	-0.7191816838	1.419181684
-40	-45	2.43573358025914	-0.7428905557	-0.7812192850	1.481219285
-35	-45	2.41003694459083	-0.5693637739	-0.8272097422	1.527209742
-30	-45	2.38181116618670	-0.4002400022	-0.8592614229	1.559261423
-25	-45	2.35162913550183	-0.2364023472	-0.8792199299	1.579219930
-20	-45	2.31987691158124	-0.07821440193	-0.8886310129	1.588631013
-15	-45	2.28679517491471	0.07429755566	-0.8887431512	1.588743151
-10	-45	2.25251341284943	0.2213099625	-0.8805297432	1.580529743
-5	-45	2.21707562133563	0.3631049244	-0.8647178738	1.564717874
-2.84217e-14	-45	2.18045684081901	0.5000000000	-0.8418158182	1.541815818
5	-45	2.14257848781528	0.6322951916	-0.8121409588	1.512140959
10	-45	2.10332338840291	0.7602316464	-0.7758470053	1.475847005
15	-45	2.06254100646111	0.8839560087	-0.7329433322	1.432943332
20	-45	2.02005658536655	1.003486114	-0.6833167283	1.383316728
25	-45	1.97568024348838	1.118675601	-0.6267541078	1.326754108
30	-45	1.92922013299958	1.229176671	-0.5629710417	1.262971042
35	-45	1.88049820952956	1.334400762	-0.4916477846	1.191647785
40	-45	1.82937632126545	1.433482451	-0.4124810646	1.112481065
45	-45	1.77578612913274	1.525250600	-0.3252505997	1.025250600