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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	2.45802491541018	-0.9191413466	-0.7191413466	1.419141347
-40	-45	2.43566686790706	-0.7428565142	-0.7811787159	1.481178716
-35	-45	2.40997252826312	-0.5693351916	-0.8271689224	1.527168922
-30	-45	2.38174996935550	-0.4002168720	-0.8592213601	1.559221360
-25	-45	2.35157185757260	-0.2363844109	-0.8791814653	1.579181465
-20	-45	2.31982361755605	-0.07820111873	-0.8885945176	1.588594518
-15	-45	2.28674421913654	0.07430704142	-0.8887077498	1.588707750
-10	-45	2.25246249014905	0.2213162628	-0.8804940120	1.580494012
-5	-45	2.21702372783190	0.3631081286	-0.8646812495	1.564681250
0	-45	2.18040227472808	0.5000000000	-0.8417772342	1.541777234
5	-45	2.14252016761382	0.6322915905	-0.8120997989	1.512099799
10	-45	2.10326112402331	0.7602239428	-0.7758033161	1.475803316
15	-45	2.06247121752255	0.8839430170	-0.7328948466	1.432894847
20	-45	2.01997840284031	1.003466627	-0.6832631896	1.383263190
25	-45	1.97559549092000	1.118649061	-0.6266971928	1.326697193
30	-45	1.92913141375350	1.229143138	-0.5629129613	1.262912961
35	-45	1.88040827844769	1.334360858	-0.4915907964	1.191590796
40	-45	1.82928915791395	1.433437974	-0.4124280588	1.112428059
45	-45	1.77570740038163	1.525205146	-0.3252051456	1.025205146

-45	-40	2.41005340452878	-0.9656026462	-0.5297866399	1.465602646
-40	-40	2.38611257678522	-0.7902097326	-0.5902097326	1.537612084
-35	-40	2.35869482025579	-0.6149175122	-0.6360708393	1.592267223
-30	-40	2.32859130174834	-0.4418726770	-0.6688830820	1.631371331
-25	-40	2.29638956342793	-0.2724927498	-0.6900659149	1.656616048
-20	-40	2.26251014598771	-0.1076500595	-0.7008808766	1.669504817
-15	-40	2.22723898480568	0.05217136730	-0.7024033330	1.671319210
-10	-40	2.19075749770024	0.2067480648	-0.6955186535	1.663114369
-5	-40	2.15316625893404	0.3560173586	-0.6809306990	1.645729122
0	-40	2.11449634365490	0.5000000000	-0.6591720504	1.619798174
5	-40	2.07473269944684	0.6387377742	-0.6306274260	1.585780015
10	-40	2.03382775453793	0.7722455249	-0.5955539682	1.543981096
15	-40	1.99170255653833	0.9004695674	-0.5540954620	1.494572772
20	-40	1.94826982564324	1.023253466	-0.5063123544	1.437627082
25	-40	1.90344272647098	1.140307607	-0.4522047031	1.373144094
30	-40	1.85714504589289	1.251181272	-0.3917392125	1.301084129
35	-40	1.80932865447077	1.355240867	-0.3248851327	1.221410539
40	-40	1.75999245997749	1.451656440	-0.2516564404	1.134139982
45	-40	1.70921492304833	1.539408467	-0.1721672611	1.039408467

-45	-35	2.36085351224642	-0.9960428270	-0.3475404650	1.496042827
-40	-35	2.33480180387225	-0.8225367601	-0.4036236635	1.576137935
-35	-35	2.30528441768428	-0.6469776920	-0.4469776920	1.638053905
-30	-35	2.27306037927457	-0.4718129980	-0.4786099760	1.683229488
-25	-35	2.23872303247796	-0.2988456515	-0.4995465595	1.713130028
-20	-35	2.20272058635136	-0.1293575875	-0.5107608961	1.729145760
-15	-35	2.16538018313161	0.03576920052	-0.5131326178	1.732532930
-10	-35	2.12693205299529	0.1959442094	-0.5074281303	1.724386078
-5	-35	2.08752870158273	0.3507768087	-0.4942942004	1.705628882
0	-35	2.04725692616592	0.5000000000	-0.4742583320	1.677014696
5	-35	2.00616208978232	0.6434068471	-0.4477436200	1.639147763
10	-35	1.96426165761216	0.7808012275	-0.4150825327	1.592502896
15	-35	1.92154953637609	0.9119565167	-0.3765289336	1.537442651
20	-35	1.87801259373983	1.036582571	-0.3322799111	1.474248497
25	-35	1.83364498296943	1.154301269	-0.2824987275	1.403153599
30	-35	1.78845681309139	1.264627985	-0.2273370214	1.324374519
35	-35	1.74249168521894	1.366964213	-0.1669642132	1.238153213
40	-35	1.69583124417090	1.460595094	-0.1015924466	1.144792655
45	-35	1.64862495541345	1.544712654	-0.03151567574	1.044712654

-45	-30	2.31111867641322	-1.012982325	-0.1735207526	1.512982325
-40	-30	2.28252552764224	-0.8418029074	-0.2232399122	1.599098436
-35	-30	2.25059165347868	-0.6669596632	-0.2622068300	1.666591117
-30	-30	2.21604817852541	-0.4910468737	-0.2910468737	1.716543538
-25	-30	2.17949211264309	-0.3161186281	-0.3104623019	1.750172046
-20	-30	2.14139558347398	-0.1437604274	-0.3211693734	1.768717238
-15	-30	2.10212280112053	0.02482644102	-0.3238567234	1.773371865
-10	-30	2.06194865794217	0.1887410431	-0.3191602094	1.765237264
-5	-30	2.02107320712493	0.3473061849	-0.3076484391	1.745298293
0	-30	1.97963522423739	0.5000000000	-0.2898176121	1.714414394
5	-30	1.93773430063256	0.6463974892	-0.2660980793	1.673330958
10	-30	1.89544350396440	0.7861243735	-0.2368616386	1.622691958
15	-30	1.85281477338402	0.9188188195	-0.2024291358	1.563053114
20	-30	1.80989528776506	1.044102628	-0.1630865083	1.494909684
25	-30	1.76673521602827	1.161560330	-0.1190987812	1.418720706
30	-30	1.72339800308375	1.270727017	-0.07072701744	1.334938353
35	-30	1.67997641668163	1.371088591	-0.01824881245	1.244043436
40	-30	1.63659063295399	1.462084342	0.03802896223	1.146567471
45	-30	1.59340577622158	1.543128940	0.09774922550	1.043128940

-45	-25	2.26127842341922	-1.018545548	-0.008109418099	1.518545548
-40	-25	2.22982313836662	-0.8497714805	-0.05010017256	1.608595011
-35	-25	2.19524341573837	-0.6762494281	-0.08333077881	1.679858276
-30	-25	2.15825168775618	-0.5006147560	-0.1081650749	1.733115596
-25	-25	2.11944972476260	-0.3250628237	-0.1250628237	1.769352935
-20	-25	2.07933149491128	-0.1513824305	-0.1345314730	1.789658519
-15	-25	2.03829442614664	0.01899172182	-0.1370909489	1.795147333
-10	-25	1.99665298268499	0.1849197588	-0.1332492782	1.786908844
-5	-25	1.95464905190999	0.3454975680	-0.1234857446	1.765970878
0	-25	1.91246573048640	0.5000000000	-0.1082429427	1.733282584
5	-25	1.87024672109916	0.6478309707	-0.08792738383	1.689715727
10	-25	1.82810730036886	0.7884830234	-0.06291128288	1.636068526
15	-25	1.78613945097356	0.9215033171	-0.03353542487	1.573071795
20	-25	1.74442865742023	1.046468988	-0.0001195435150	1.501411206
25	-25	1.70305789090900	1.162969136	0.03703086419	1.421741900
30	-25	1.66211356767413	1.270593797	0.07761562120	1.334707608
35	-25	1.62170139562331	1.368935684	0.1213267612	1.240968765
40	-25	1.58194143376140	1.457591387	0.1678436500	1.141212975
45	-25	1.54298198949253	1.536178653	0.2168219590	1.036178653

-45	-20	2.21156658873575	-1.014461070	0.1487812495	1.514461070
-40	-20	2.17703975753386	-0.8479600829	0.1153050140	1.606436271
-35	-20	2.13968396926640	-0.6761118029	0.08865312773	1.679661727
-30	-20	2.10020042749190	-0.5015245997	0.06862393135	1.734691492
-25	-20	2.05919703656165	-0.3264505878	0.05492499688	1.772329005
-20	-20	2.01718711169780	-0.1527931713	0.04720682869	1.793534498
-15	-20	1.97459609756646	0.01786507241	0.04508941434	1.799352046
-10	-20	1.93177089778183	0.1842241116	0.04818243015	1.790854055
-5	-20	1.88898692780515	0.3452239299	0.05610077682	1.769098576
0	-20	1.84646065738847	0.5000000000	0.06847326131	1.735105454
5	-20	1.80436674017337	0.6478426287	0.08494527134	1.689848979
10	-20	1.76284706422220	0.7881628450	0.1051806605	1.634252704
15	-20	1.72201519105634	0.9204625293	0.1288624501	1.569187522
20	-20	1.68197248340480	1.044312496	0.1556875041	1.495486292
25	-20	1.64280980669343	1.159335220	0.1853646726	1.413948941
30	-20	1.60461506990364	1.265194333	0.2176100618	1.325355463
35	-20	1.56748122539946	1.361591336	0.2521419246	1.230479949
40	-20	1.53150384368679	1.448262907	0.2886787940	1.130095726
45	-20	1.49679255949083	1.524990192	0.3269340799	1.024990192

-45	-15	2.16207740272311	-1.002095904	0.2975146155	1.502095904
-40	-15	2.12437778567258	-0.8376357488	0.2728535619	1.594132209
-35	-15	2.08421562245781	-0.6676609835	0.2531698811	1.667592706
-30	-15	2.04228691595548	-0.4947131484	0.2383520212	1.722893712
-25	-15	1.99920507751221	-0.3210376548	0.2282162480	1.760720933
-20	-15	1.95549787462979	-0.1485763139	0.2225282642	1.781948777
-15	-15	1.91161073123478	0.02102144913	0.2210214491	1.787572288
-10	-15	1.86791278182323	0.1863757293	0.2234117336	1.778651625
-5	-15	1.82470146586585	0.3463466160	0.2294098857	1.756266216
0	-15	1.78221286576185	0.5000000000	0.2387293679	1.721485435
5	-15	1.74063755724414	0.6465745800	0.2510899496	1.675355116
10	-15	1.70012794068079	0.7854530419	0.2662211663	1.618884647
15	-15	1.66080203829891	0.9161352207	0.2838647793	1.553037787
20	-15	1.62275812933930	1.038217146	0.3037729568	1.478739456
25	-15	1.58607648383277	1.151373154	0.3257086765	1.396874236
30	-15	1.55082772507949	1.255343785	0.3494437294	1.308293813
35	-15	1.51707679410158	1.349927120	0.3747574498	1.213821722
40	-15	1.48488443751368	1.434972357	0.4014358262	1.114256666
45	-15	1.45431494251057	1.510380348	0.4292694017	1.010380348

-45	-10	2.11281183753420	-0.9825048019	0.4385944044	1.482504802
-40	-10	2.07193731725770	-0.8198298662	0.4226531788	1.572911985
-35	-10	2.02903354329761	-0.6518525822	0.4099393009	1.645015969
-30	-10	1.98479506451797	-0.4810254711	0.4003876701	1.699185959
-25	-10	1.93983669833108	-0.3095385341	0.3938856075	1.736060989
-20	-10	1.89469188001481	-0.1393063785	0.3902852133	1.756479839
-15	-10	1.84981417185223	0.02802950012	0.3894145025	1.761417885
-10	-10	1.80558115033704	0.1910869673	0.3910869673	1.751932866
-5	-10	1.76229755392766	0.3487217649	0.3951098191	1.729118140
0	-10	1.72020319345734	0.5000000000	0.4012898502	1.694069442
5	-10	1.67948898323901	0.6441698246	0.4094362988	1.647868636
10	-10	1.64030263780472	0.7806358840	0.4193641160	1.591565187
15	-10	1.60275167184531	0.9089337833	0.4308965231	1.526161656
20	-10	1.56691771744944	1.028708917	0.4438646401	1.452615810
25	-10	1.53285891335843	1.139697331	0.4581084143	1.371835352
30	-10	1.50061912778663	1.241711632	0.4734758610	1.284682231
35	-10	1.47022842843216	1.334627115	0.4898233436	1.191971050
40	-10	1.44171002941606	1.418373321	0.5070145798	1.094474705
45	-10	1.41508331088610	1.492926945	0.5249201897	0.9929269451

-45	-5	2.06370460308269	-0.9564751186	0.5725749384	1.456475119
-40	-5	2.01974295969396	-0.7953598198	0.5649394003	1.543749719
-35	-5	1.97425177863687	-0.6294874401	0.5588742034	1.613075236
-30	-5	1.92792326701213	-0.4612065827	0.5543437428	1.664858638
-25	-5	1.88136535222976	-0.2926116182	0.5512901730	1.699761100
-20	-5	1.83510417407019	-0.1255322018	0.5496388683	1.718635600
-15	-5	1.78958547344930	0.03846629260	0.5493036427	1.722467245
-10	-5	1.74517808810278	0.1980716101	0.5501913252	1.712320988
-5	-5	1.70217687955302	0.3522057794	0.5522057794	1.689295672
0	-5	1.66080844217446	0.5000000000	0.5552510067	1.654488565
5	-5	1.62124864394859	0.6407674976	0.5592325024	1.608979860
10	-5	1.58362736025910	0.7739789494	0.5640590792	1.553811835
15	-5	1.54802926981780	0.8992364146	0.5696444649	1.489970584
20	-5	1.51451249702377	1.016252075	0.5759068743	1.418390918
25	-5	1.48310774248902	1.124827297	0.5827698748	1.339946463
30	-5	1.45382961192074	1.224837247	0.5901619253	1.255454939
35	-5	1.42667455318436	1.316213518	0.5980167652	1.165673708
40	-5	1.40163345479204	1.398936001	0.6062725016	1.071310209
45	-5	1.37868833605128	1.473019712	0.6148718058	0.9730197117

-45	0	2.01464292282059	-0.9245676724	0.7000000000	1.424567672
-40	0	1.96776539192310	-0.7648552127	0.7000000000	1.507395744
-35	0	1.91992712907939	-0.6012249608	0.7000000000	1.572712233
-30	0	1.87180766531331	-0.4359038327	0.7000000000	1.621032989
-25	0	1.82399671906824	-0.2708543228	0.7000000000	1.653102430
-20	0	1.77699552511043	-0.1077682642	0.7000000000	1.669829582
-15	0	1.73122221913775	0.05192671838	0.7000000000	1.672232253
-10	0	1.68701716495269	0.2070525436	0.7000000000	1.661387584
-5	0	1.64464677343897	0.3566595889	0.7000000000	1.638388396
0	0	1.60430838752383	0.5000000000	0.7000000000	1.604308388
5	0	1.56614945112161	0.6364989187	0.7000000000	1.560189780
10	0	1.53026952290189	0.7657285140	0.7000000000	1.507021290
15	0	1.49672516556795	0.8873809781	0.7000000000	1.445725492
20	0	1.46554799873359	1.001246937	0.7000000000	1.377164640
25	0	1.43674120159085	1.107193069	0.7000000000	1.302129739
30	0	1.41029341722479	1.205146709	0.7000000000	1.221349926
35	0	1.38617489335603	1.295077255	0.7000000000	1.135487998
40	0	1.36435276830755	1.376989055	0.7000000000	1.045154857
45	0	1.34478421465557	1.450906037	0.7000000000	0.9509060374

-45	5	1.96549251481015	-0.8871611952	0.8213608791	1.387161195
-40	5	1.91595020421023	-0.7287924557	0.8281199582	1.464417824
-35	5	1.86608704145947	-0.5676054079	0.8333938371	1.524698535
-30	5	1.81655041586082	-0.4056793117	0.8372419427	1.568682583
-25	5	1.76789436155300	-0.2448067485	0.8397406752	1.597243227
-20	5	1.72057534581025	-0.08649274502	0.8409770954	1.611375574
-15	5	1.67496152040813	0.06802778535	0.8410441711	1.612142253
-10	5	1.63134378397227	0.2177657653	0.8400369693	1.600629884
-5	5	1.58994200772637	0.3619507510	0.8380492490	1.577910136
0	5	1.55090912584251	0.5000000000	0.8351706368	1.545007448
5	5	1.51435135530703	0.6314859701	0.8314859701	1.502891515
10	5	1.48033195298396	0.7561080993	0.8270738899	1.452461207
15	5	1.44887750701681	0.8736651964	0.8220062219	1.394537498
20	5	1.41999336675014	0.9840333262	0.8163486044	1.329870634
25	5	1.39365993271242	1.087143296	0.8101598513	1.259132862
30	5	1.36984685368235	1.182965881	0.8034931053	1.182931606
35	5	1.34851083692360	1.271495343	0.7963958438	1.101809536
40	5	1.32960573777489	1.352741108	0.7889109911	1.016257279
45	5	1.31307830038280	1.426714933	0.7810770510	0.9267149332

-45	10	1.91610181103449	-0.8444785216	0.9370678383	1.344478522
-40	10	1.86422641479840	-0.6875174404	0.9495429113	1.415228176
-35	10	1.81273760911646	-0.5290645529	0.9591400916	1.469656490
-30	10	1.76222896143945	-0.3710176320	0.9660151340	1.508646793
-25	10	1.71319088585760	-0.2149540163	0.9703487297	1.533223836
-20	10	1.66601265739258	-0.06214550231	0.9723338609	1.544482074
-15	10	1.62099034321634	0.08641271419	0.9721657666	1.543528764
-10	10	1.57834495690013	0.2299643236	0.9700356764	1.531448422
-5	10	1.53823239514280	0.3679558503	0.9661252932	1.509271537
0	10	1.50074904987410	0.5000000000	0.9606023376	1.477949300
5	10	1.46595271002001	0.6258395543	0.9536203866	1.438352688
10	10	1.43386690223703	0.7453172338	0.9453172338	1.391263168
15	10	1.40448862411379	0.8583479941	0.9358149292	1.337372921
20	10	1.37779956986654	0.9648967268	0.9252212639	1.277293259
25	10	1.35376566366797	1.064957592	0.9136299174	1.211555467
30	10	1.33234722133202	1.158539808	0.9011228576	1.140624406
35	10	1.31350059332297	1.245655021	0.8877716126	1.064905733
40	10	1.29717895405747	1.326306622	0.8736386793	0.9847538852
45	10	1.28333519369919	1.400482737	0.8587794023	0.9004827374

-45	15	1.86631504815478	-0.7966160167	1.047427215	1.296616017
-40	15	1.81252125919425	-0.6412721636	1.064441770	1.360115201
-35	15	1.75988009415302	-0.4859552435	1.077296583	1.408090016
-30	15	1.70890482299598	-0.3323365750	1.086288749	1.441649237
-25	15	1.65999260622770	-0.1817291791	1.091734469	1.461972943
-20	15	1.61343874743324	-0.03512620445	1.093951540	1.470247163
-15	15	1.56944650662489	0.1067550777	1.093244922	1.467610030
-10	15	1.52814874826010	0.2434224224	1.089899234	1.455123751
-5	15	1.48962451680811	0.3745625779	1.084173841	1.433756295
0	15	1.45390540994569	0.5000000000	1.076298410	1.404364784
5	15	1.42099669512405	0.6196584510	1.066474741	1.367702353
10	15	1.39088130563042	0.7335302480	1.054876157	1.324415850
15	15	1.36352869005764	0.8416495761	1.041649576	1.275053576
20	15	1.33890250256376	0.9440712828	1.026918331	1.220075822
25	15	1.31696301963241	1.040853083	1.010784402	1.159863179
30	15	1.29767279734285	1.132042532	0.9933319600	1.094729778
35	15	1.28099818003529	1.217666435	0.9746302076	1.024933888
40	15	1.26690647699558	1.297720352	0.9547355714	0.9506860948
45	15	1.25537303714131	1.372166137	0.9336962122	0.8721661375

-45	20	1.81598254682205	-0.7435686473	1.152621972	1.243568647
-40	20	1.76077533116352	-0.5902211836	1.172897431	1.299275012
-35	20	1.70753040560011	-0.4385716268	1.187872690	1.340419198
-30	20	1.65664855153437	-0.2900075896	1.198032586	1.368333284
-25	20	1.60840386405202	-0.1455265306	1.203857139	1.384336112
-20	20	1.56297071929172	-0.005801671342	1.205801671	1.389678671
-15	20	1.52044248695380	0.1287552532	1.204282309	1.385504257
-10	20	1.48085026217336	0.2579336102	1.199668061	1.372826715
-5	20	1.44418794404399	0.3816689882	1.192280535	1.352529654
0	20	1.41041847464885	0.5000000000	1.182391529	1.325359833
5	20	1.37949345630886	0.6130302030	1.170228116	1.291941132
10	20	1.35135692012239	0.7208988304	1.155974456	1.252779521
15	20	1.32595520899887	0.8237570050	1.139777078	1.208277592
20	20	1.30323976899844	0.9217486900	1.121748690	1.158745002
25	20	1.28317409378876	1.014996848	1.101973933	1.104414305
30	20	1.26573104523421	1.103590382	1.080512393	1.045449209
35	20	1.25089767350986	1.187576081	1.057404360	0.9819604095
40	20	1.23867093282926	1.266949233	1.032674073	0.9140145043
45	20	1.22906171383008	1.341650497	1.006335729	0.8416504969

-45	25	1.76497038685318	-0.6852533924	1.252692734	1.185253392
-40	25	1.70894808963212	-0.5344719065	1.274880687	1.232835611
-35	25	1.65572055838788	-0.3871637405	1.290812329	1.267001128
-30	25	1.60553865274957	-0.2443643743	1.301199699	1.289276916
-25	25	1.55852487790197	-0.1067050903	1.306705090	1.301083265
-20	25	1.51471019127134	0.02549383861	1.307922946	1.303694964
-15	25	1.47406349890287	0.1521421359	1.305371431	1.298223223
-10	25	1.43650842899737	0.2733129261	1.299488054	1.285606281
-5	25	1.40195112459287	0.3891847833	1.290636342	1.266623723
0	25	1.37028672404754	0.5000000000	1.279108193	1.241901528
5	25	1.34141607004415	0.6060303101	1.265133168	1.211931990
10	25	1.31524826594143	0.7075517100	1.248883395	1.177084240
15	25	1.29171151668091	0.8048254092	1.230482743	1.137623915
20	25	1.27075135374730	0.8980823199	1.210011031	1.093722185
25	25	1.25233822674601	0.9875122545	1.187512254	1.045473404
30	25	1.23646252483959	1.073252255	1.162997821	0.9929020318
35	25	1.22313988746785	1.155379528	1.136454160	0.9359789662
40	25	1.21240920948003	1.233903665	1.107847753	0.8746323295
45	25	1.20432809135463	1.308758020	1.077130058	0.8087580203

-45	30	1.71317783970813	-0.6215381613	1.347520359	1.121538161
-40	30	1.65703630777108	-0.4741035132	1.370240940	1.160891361
-35	30	1.60451783952488	-0.3319623841	1.385987625	1.188165421
-30	30	1.55567897602501	-0.1957207883	1.395720788	1.205023753
-25	30	1.51046713150562	-0.06559982761	1.400287047	1.212932745
-20	30	1.46875523648884	0.05845313863	1.400406724	1.213140031
-15	30	1.43038059831984	0.1766701549	1.396678991	1.206683409
-10	30	1.39516119086086	0.2893951358	1.389586894	1.194399537
-5	30	1.36291874507603	0.3970303193	1.379511727	1.176948836
0	30	1.33348648478361	0.5000000000	1.366743242	1.154833171
5	30	1.30672058219944	0.5987238613	1.351492955	1.128418898
10	30	1.28250132899107	0.6935984315	1.333902458	1.097951265
15	30	1.26074231050230	0.7849840220	1.314055226	1.063574850
20	30	1.24138660560911	0.8731938078	1.291981226	1.025341560
25	30	1.22441433707176	0.9584863341	1.267666440	0.9832271165
30	30	1.20983865128289	1.041056293	1.241056293	0.9371369896
35	30	1.19770914766926	1.121027036	1.212062648	0.8869185235
40	30	1.18811037053096	1.198441235	1.180568958	0.8323698516
45	30	1.18115700051789	1.273248766	1.146435383	0.7732487661

-45	35	1.66055548812803	-0.5522728810	1.436809404	1.052272881
-40	35	1.60508878442292	-0.4091944837	1.458699930	1.083535792
-35	35	1.55402628492269	-0.2731946080	1.473194608	1.104236338
-30	35	1.50719528132868	-0.1443788200	1.481499432	1.116096856
-25	35	1.46434685010710	-0.02252426784	1.484622394	1.120556909
-20	35	1.42519422639824	0.09279592445	1.483380992	1.118784003
-15	35	1.38944512860599	0.2021201044	1.478422754	1.111702905
-10	35	1.35682123544312	0.3060354806	1.470247515	1.100027453
-5	35	1.32706972183983	0.4051368353	1.459228686	1.084290934
0	35	1.29997162420733	0.5000000000	1.445633092	1.064874413
5	35	1.27534670476228	0.5911658389	1.429637476	1.042030307
10	35	1.25305274000674	0.6791302835	1.411339662	1.015898320
15	35	1.23299193925225	0.7643382618	1.390771418	0.9865238234
20	35	1.21510722379384	0.8471783737	1.367903283	0.9538647423
25	35	1.19938882440678	0.9279790456	1.342653297	0.9178040251
30	35	1.18587225862749	1.007001963	1.314889462	0.8781531599
35	35	1.17463915770229	1.084433270	1.284433270	0.8346572093
40	35	1.16582121640343	1.160373575	1.251065140	0.7870025806
45	35	1.15959713314728	1.234821947	1.214527866	0.7348219465

-45	40	1.60711921797504	-0.4773219856	1.520070518	0.9773219856
-40	40	1.55322178648444	-0.3398521869	1.539852187	1.000896861
-35	40	1.50440667654622	-0.2111090993	1.552163609	1.015569043
-30	40	1.46025137395837	-0.09064502629	1.558421742	1.023027195
-25	40	1.42030356845027	0.02221773402	1.559747671	1.024607376
-20	40	1.38412525340708	0.1282607642	1.557010344	1.021345156
-15	40	1.35130887756071	0.2282937255	1.550865168	1.014021621
-10	40	1.32149544426954	0.3231063471	1.541796294	1.003213758
-5	40	1.29437342004751	0.4134450007	1.530144901	0.9893281686
0	40	1.26968500928296	0.5000000000	1.516137792	0.9726351459
5	40	1.24722385150274	0.5834020986	1.499905580	0.9532903487
10	40	1.22683225615647	0.6642221623	1.481495579	0.9313501634
15	40	1.20840517282182	0.7429727748	1.460884419	0.9067867404
20	40	1.19188600077170	0.8201088846	1.437981356	0.8794919323
25	40	1.17727048268603	0.8960272799	1.412633256	0.8492832425
30	40	1.16461027221053	0.9710635971	1.384626494	0.8159060837
35	40	1.15401398645612	1.045484050	1.353685429	0.7790319584
40	40	1.14565444348075	1.119473921	1.319473921	0.7382602705
45	40	1.13977339952324	1.193119458	1.281596282	0.6931194584

-45	45	1.55298521464139	-0.3966164317	1.596616432	0.8966164317
-40	45	1.50163035034960	-0.2662423328	1.613172053	0.9131720529
-35	45	1.45587628221752	-0.1459906596	1.622570273	0.9225702729
-30	45	1.41504135606470	-0.03483536043	1.626362018	0.9263620180
-25	45	1.37848601139357	0.06833315293	1.625712541	0.9257125409
-20	45	1.34564042047020	0.1646077785	1.621482555	0.9214825552
-15	45	1.31600857899714	0.2550160701	1.614292473	0.9142924735
-10	45	1.28917281442797	0.3404983438	1.604578843	0.9045788432
-5	45	1.26478373796181	0.4219049347	1.592630681	0.8926306808
0	45	1.24255988402256	0.5000000000	1.578622520	0.8786225200
5	45	1.22227976072311	0.5754706238	1.562633178	0.8626331777
10	45	1.20377677706443	0.6489361143	1.544658677	0.8446586775
15	45	1.18694041641545	0.7209570153	1.524622808	0.8246228076
20	45	1.17171276684869	0.7920418723	1.502378450	0.8023784496
25	45	1.15809047218480	0.8626509508	1.477707474	0.7777074738
30	45	1.14613271707187	0.9331974484	1.450319990	0.7503199903
35	45	1.13596534594857	1.004042144	1.419846784	0.7198467837
40	45	1.12778974642537	1.075481340	1.385831954	0.6858319544
45	45	1.12189689028454	1.147727472	1.347727472	0.6477274716


### +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	1.77570779125398	1.525205371	-0.3252053713	1.025205371
45	-40	1.70921518762691	1.539408628	-0.1721673962	1.039408628
45	-35	1.64862502143307	1.544712696	-0.03151570504	1.044712696
45	-30	1.59340593042424	1.543129041	0.09774916722	1.043129041
45	-25	1.54298204449930	1.536178690	0.2168219418	1.036178690
45	-20	1.49679262035450	1.524990233	0.3269340647	1.024990233
45	-15	1.45431498501642	1.510380378	0.4292693938	1.010380378
45	-10	1.41508334433365	1.492926969	0.5249201856	0.9929269686
45	-5	1.37868835035444	1.473019722	0.6148718050	0.9730197217
45	0	1.34478422325742	1.450906043	0.7000000000	0.9509060435
45	5	1.31307830620650	1.426714937	0.7810770513	0.9267149373
45	10	1.28333520647936	1.400482746	0.8587794039	0.9004827464
45	15	1.25537305271525	1.372166148	0.9336962151	0.8721661483
45	20	1.22906172682623	1.341650506	1.006335732	0.8416505058
45	25	1.20432810105187	1.308758027	1.077130061	0.8087580268
45	30	1.18115701541548	1.273248776	1.146435389	0.7732487758
45	35	1.15959715085503	1.234821958	1.214527874	0.7348219577
45	40	1.13977344796030	1.193119488	1.281596307	0.6931194878
45	45	1.12189691119835	1.147727484	1.347727484	0.6477274837

50	-45	1.78955195711604	1.588263056	-0.3882630563	0.9131611292
50	-40	1.71971037375955	1.608182186	-0.2298752637	0.9298752637
50	-35	1.65532982861435	1.617451654	-0.08244807192	0.9376532710
50	-30	1.59612937488742	1.618221004	0.05439480256	0.9382988317
50	-25	1.54172753187784	1.612202656	0.1813713842	0.9332488382
50	-20	1.49170661897069	1.600729378	0.2993672703	0.9236216154
50	-15	1.44564277767354	1.584809741	0.4093261060	0.9102634533
50	-10	1.40314138754036	1.565195306	0.5121773278	0.8938049884
50	-5	1.36383947660113	1.542423145	0.6087997922	0.8746968767
50	0	1.32742441872510	1.516866100	0.7000000000	0.8532519692
50	5	1.29362654765364	1.488757312	0.7865050558	0.8296658957
50	10	1.26222895088253	1.458221577	0.8689603176	0.8040433721
50	15	1.23306450070471	1.425291090	0.9479310003	0.7764114122
50	20	1.20601721585386	1.389919347	1.023904153	0.7467309959
50	25	1.18102838311665	1.351994193	1.097291417	0.7149080130
50	30	1.15809390481548	1.311340828	1.168427845	0.6807957895
50	35	1.13726913756989	1.267728133	1.237569026	0.6442003934
50	40	1.11867818861105	1.220876759	1.304887423	0.6048874226
50	45	1.10251483506323	1.170461765	1.370461765	0.5625842199

55	-45	1.80152318409974	1.641602316	-0.4416023160	0.7993585473
55	-40	1.72903871539932	1.667209785	-0.2794052998	0.8172890899
55	-35	1.66151392197557	1.680613267	-0.1266743092	0.8266743092
55	-30	1.59889627712718	1.684002584	0.01641578960	0.8290475343
55	-25	1.54099953137251	1.679213566	0.1501236836	0.8256942280
55	-20	1.48755690754666	1.667738993	0.2749777650	0.8176596458
55	-15	1.43826130527054	1.650761004	0.3916545183	0.8057715296
55	-10	1.39280408951779	1.629200144	0.5008915480	0.7906744530
55	-5	1.35088330171983	1.603747974	0.6034345649	0.7728526517
55	0	1.31223065933152	1.574916427	0.7000000000	0.7526645852
55	5	1.27660625747981	1.543059433	0.7912558757	0.7303580776
55	10	1.24381430407587	1.508408363	0.8778096019	0.7060951371
55	15	1.21370104492676	1.471089070	0.9602025320	0.6799638869
55	20	1.18615807763547	1.431139530	1.038907073	0.6519909179
55	25	1.16112933984499	1.388526856	1.114326878	0.6221532028
55	30	1.13860638701868	1.343152194	1.186794146	0.5903815221
55	35	1.11863258288634	1.294860910	1.256567601	0.5565676011
55	40	1.10130979840444	1.243453320	1.323831406	0.5205716187
55	45	1.08679409056754	1.188687585	1.388687585	0.4822242384

60	-45	1.81166777349095	1.686014958	-0.4860149580	0.6847460553
60	-40	1.73713351534870	1.717006098	-0.3211893682	0.7026387985
60	-35	1.66704893709405	1.734470476	-0.1643855331	0.7127218617
60	-30	1.60155783940394	1.740561368	-0.01623843976	0.7162384398
60	-25	1.54065439809784	1.737173672	0.1230964423	0.7142825525
60	-20	1.48422071324850	1.725913970	0.2538038053	0.7077817604
60	-15	1.43207386319352	1.708111865	0.3762874015	0.6975037102
60	-10	1.38399971056928	1.684844178	0.4910800035	0.6840701049
60	-5	1.33976724317746	1.656956351	0.5987794351	0.6679690605
60	0	1.29915866449711	1.625104407	0.7000000000	0.6495793322
60	5	1.26196791356796	1.589772719	0.7953427588	0.6291805729
60	10	1.22802101955482	1.551310592	0.8853744225	0.6069744533
60	15	1.19717375778969	1.509947781	0.9706146924	0.5830936234
60	20	1.16931865783485	1.465815977	1.051528267	0.5576141141
60	25	1.14439250596688	1.418968122	1.128521873	0.5305664926
60	30	1.12237081793026	1.369384697	1.201939489	0.5019394890
60	35	1.10327332181112	1.316987620	1.272060890	0.4716880221
60	40	1.08716605674291	1.261649988	1.339100224	0.4397388255
60	45	1.07415588841692	1.203200095	1.403200095	0.4059927643

65	-45	1.82006434291527	1.722251349	-0.5222513493	0.5699451644
65	-40	1.74396779530103	1.758098836	-0.3556702694	0.5866611220
65	-35	1.67184282556614	1.779338313	-0.1958023303	0.5965652525
65	-30	1.60399388609959	1.788036440	-0.04364818524	0.6006212559
65	-25	1.54056948991798	1.786093799	0.1002846123	0.5997153877
65	-20	1.48159108933569	1.775189705	0.2358689044	0.5946307249
65	-15	1.42699721595862	1.756771452	0.3632491042	0.5860421528
65	-10	1.37666865791729	1.732052550	0.4827558937	0.5745155395
65	-5	1.33044842626775	1.702023030	0.5948366116	0.5605125441
65	0	1.28817160170902	1.667479954	0.7000000000	0.5444048431
65	5	1.24966704588224	1.629039307	0.7987781400	0.5264796751
65	10	1.21478128814875	1.587171104	0.8916975982	0.5069562114
65	15	1.18337722184319	1.542212762	0.9792600679	0.4859917924
65	20	1.15534352983700	1.494391898	1.061929052	0.4636925570
65	25	1.13060258501565	1.443846405	1.140122807	0.4401228066
65	30	1.10910594618237	1.390632369	1.214206838	0.4153086942
65	35	1.09084208969887	1.334741195	1.284492077	0.3892462119
65	40	1.07583449246758	1.276107292	1.351231342	0.3619047738
65	45	1.06413816518476	1.214614466	1.414614466	0.3332301981

70	-45	1.82679235339166	1.750971106	-0.5509711064	0.4553162466
70	-40	1.74953362078676	1.790979761	-0.3832606416	0.4698782062
70	-35	1.67582917788149	1.815533589	-0.2211465357	0.4788150685
70	-30	1.60610670519862	1.826587501	-0.06590565073	0.4828383635
70	-25	1.54063972704730	1.826012240	0.08167033783	0.4826289855
70	-20	1.47957180485090	1.815526487	0.2211875165	0.4788124835
70	-15	1.42295237034869	1.796666322	0.3525593062	0.4719479449
70	-10	1.37075105434961	1.770758912	0.4759309179	0.4625184188
70	-5	1.32288188068252	1.738922524	0.5916083242	0.4509309211
70	0	1.27923100135839	1.702083932	0.7000000000	0.4375227704
70	5	1.23966060830676	1.660983056	0.8015728560	0.4225632750
70	10	1.20403515863816	1.616204436	0.8968169581	0.4062651902
70	15	1.17222137926797	1.568187534	0.9862199872	0.3887884672
70	20	1.14410061241216	1.517250163	1.070248780	0.3702487800
70	25	1.11957684760535	1.463607894	1.149337741	0.3507245910
70	30	1.09857460189451	1.407383881	1.223878328	0.3302607238
70	35	1.08104875502446	1.348628230	1.294215884	0.3088754156
70	40	1.06698121138917	1.287324767	1.360643921	0.2865627797
70	45	1.05637913659343	1.223399009	1.423399009	0.2632957066

75	-45	1.83193387974906	1.772729817	-0.5727298172	0.3410269267
75	-40	1.75384228903309	1.816082526	-0.4043243623	0.3526432501
75	-35	1.67896664383652	1.843350707	-0.2406242912	0.3599497370
75	-30	1.60782315605860	1.856375730	-0.08310389261	0.3634397814
75	-25	1.54078221089474	1.856983094	0.06722839133	0.3636025242
75	-20	1.47808645993983	1.846907299	0.2097658350	0.3609027229
75	-15	1.41987812465872	1.827746672	0.3442313514	0.3557686486
75	-10	1.36620246877141	1.800916330	0.4706133514	0.3485794800
75	-5	1.31703626960882	1.767640953	0.5890957872	0.3396633697
75	0	1.27231047912645	1.728957551	0.7000000000	0.3292981833
75	5	1.23191630082096	1.685713401	0.8037364807	0.3177109481
75	10	1.19573281060152	1.638592833	0.9007646365	0.3050850301
75	15	1.16362805240567	1.588123866	0.9915619112	0.2915619112
75	20	1.13547532086680	1.534702664	1.076600971	0.2772477431
75	25	1.11116012825627	1.478610408	1.156333528	0.2622178686
75	30	1.09058108987566	1.420025138	1.231176761	0.2465199928
75	35	1.07366186328624	1.359042929	1.301508334	0.2301798590
75	40	1.06034773620125	1.295684501	1.367658572	0.2132030196
75	45	1.05060548985824	1.229904582	1.429904582	0.1955773433

80	-45	1.83555289040333	1.787959451	-0.5879594509	0.2271020013
80	-40	1.75690386971604	1.833754226	-0.4191526790	0.2351768557
80	-35	1.68122301241524	1.863032520	-0.2544056453	0.2403394088
80	-30	1.60908487819616	1.877539919	-0.09532304313	0.2428974547
80	-25	1.54092841732779	1.879057172	0.05693507955	0.2431649874
80	-20	1.47706903849759	1.869321321	0.2016077982	0.2414482941
80	-15	1.41771872909848	1.849970804	0.3382764131	0.2380362760
80	-10	1.36298060155150	1.822483075	0.4668105524	0.2331894476
80	-5	1.31287980783879	1.788161744	0.5873004506	0.2271376711
80	0	1.26738278390931	1.748128392	0.7000000000	0.2200787108
80	5	1.22640326155034	1.703313323	0.8052762745	0.2121766052
80	10	1.18983110646807	1.654478280	0.9035656694	0.2035656694
80	15	1.15753448309702	1.602219873	0.9953389248	0.1943511023
80	20	1.12937888778801	1.546994115	1.081074693	0.1846133110
80	25	1.10523411541027	1.489131628	1.161239653	0.1744105935
80	30	1.08497759903675	1.428850910	1.236272323	0.1637814766
80	35	1.06850805465382	1.366280806	1.306576351	0.1527486790
80	40	1.05574245923756	1.301467280	1.372510899	0.1413203057
80	45	1.04661722630234	1.234383931	1.434383931	0.1294917013

85	-45	1.83770424448005	1.796973658	-0.5969736577	0.1134704919
85	-40	1.75873574520126	1.844254129	-0.4279631436	0.1176069972
85	-35	1.68258417555696	1.874766327	-0.2626217455	0.1202764686
85	-30	1.60985751425690	1.890192874	-0.1026282302	0.1216261166
85	-25	1.54103549324700	1.892282569	0.05076797575	0.1218089412
85	-20	1.47647793864079	1.882770299	0.1967127704	0.1209767254
85	-15	1.41643970436225	1.863316272	0.3347005059	0.1192747186
85	-10	1.36106042301554	1.835435246	0.4645267352	0.1168354449
85	-5	1.31039575989443	1.800479352	0.5862227996	0.1137772004
85	0	1.26443455099484	1.759622996	0.7000000000	0.1102027324
85	5	1.22310496034278	1.713849125	0.8061980376	0.1061980376
85	10	1.18630342500090	1.663968461	0.9052390444	0.1018340450
85	15	1.15389760489252	1.610620788	0.9975899433	0.09716672844
85	20	1.12574753548632	1.554299706	1.083733711	0.09223927221
85	25	1.10171290041992	1.495366865	1.164147192	0.08708331671
85	30	1.08165734693778	1.434065483	1.239282958	0.08172014073
85	35	1.06546356864454	1.370543928	1.309561421	0.07616272478
85	40	1.05303071782324	1.304862751	1.375360037	0.07041636640
85	45	1.04427646814681	1.237006009	1.437006009	0.06447967072

90	-45	1.83841584184048	1.799956308	-0.5999563084	0.000000000
90	-40	1.75934322711042	1.847735103	-0.4308840276	0.000000000
90	-35	1.68303674979505	1.878662994	-0.2653502212	0.000000000
90	-30	1.61011527382117	1.894400730	-0.1050576369	0.000000000
90	-25	1.54107205083917	1.896685600	0.04871480866	0.000000000
90	-20	1.47628183254396	1.887251144	0.1950818760	0.000000000
90	-15	1.41601389295899	1.867764390	0.3335086364	0.000000000
90	-10	1.36042036844144	1.839752526	0.4637654822	0.000000000
90	-5	1.30956735290407	1.804584054	0.5858636847	0.000000000
90	0	1.26345129257426	1.763451293	0.7000000000	0.000000000
90	5	1.22200533857573	1.717355239	0.8065047829	0.000000000
90	10	1.18512813992347	1.667123381	0.9057953418	0.000000000
90	15	1.15268712124424	1.613410260	0.9983373800	0.000000000
90	20	1.12454033146754	1.556722251	1.084615445	0.000000000
90	25	1.10054391805591	1.497431523	1.165109958	0.000000000
90	30	1.08055675387908	1.435789599	1.240278377	0.000000000
90	35	1.06445601759355	1.371951323	1.310546889	0.000000000
90	40	1.05213478613799	1.305982006	1.376299204	0.000000000
90	45	1.04350440631358	1.237869042	1.437869042	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	1.12189695421493	1.147727509	1.347727509	0.6477275085
40	45	1.12778986264788	1.075481399	1.385832025	0.6858320251
35	45	1.13596541713664	1.004042176	1.419846829	0.7198468288
30	45	1.14613273111279	0.9331974537	1.450320000	0.7503199995
25	45	1.15809047940611	0.8626509531	1.477707479	0.7777074787
20	45	1.17171278040784	0.7920418757	1.502378459	0.8023784589
15	45	1.18694041948016	0.7209570159	1.524622810	0.8246228097
10	45	1.20377678621629	0.6489361155	1.544658684	0.8446586839
5	45	1.22227976909944	0.5754706243	1.562633184	0.8626331836
0	45	1.24255989506847	0.5000000000	1.578622528	0.8786225278
-5	45	1.26478375312941	0.4219049338	1.592630691	0.8926306915
-10	45	1.28917283997677	0.3404983406	1.604578861	0.9045788611
-15	45	1.31600861447709	0.2550160635	1.614292498	0.9142924981
-20	45	1.34564049333737	0.1646077604	1.621482605	0.9214826051
-25	45	1.37848609290628	0.06833312740	1.625712596	0.9257125956
-30	45	1.41504151914738	-0.03483542207	1.626362125	0.9263621247
-35	45	1.45587642915735	-0.1459907248	1.622570366	0.9225703660
-40	45	1.50163068102096	-0.2662425015	1.613172254	0.9131722540
-45	45	1.55298534487971	-0.3966165069	1.596616507	0.8966165069

45	50	1.10251490754936	1.170461809	1.370461809	0.5625842569
40	50	1.10627355680372	1.098180037	1.412883208	0.5981800372
35	50	1.11270492907874	1.025957916	1.451145749	0.6302861208
30	50	1.12153852659294	0.9536418622	1.485730754	0.6593063857
25	50	1.13257850990463	0.8809931474	1.517042441	0.6855800112
20	50	1.14569701954130	0.8077037526	1.545409112	0.7093824741
15	50	1.16082833772153	0.7334065499	1.571085103	0.7309271887
10	50	1.17796789523928	0.6576812428	1.594254766	0.7503688440
5	50	1.19716633236038	0.5800547426	1.615029895	0.7678012477
0	50	1.21852760749705	0.5000000000	1.633446303	0.7832544482
-5	50	1.24221269036176	0.4169329988	1.649460169	0.7966916775
-10	50	1.26843615441035	0.3302087943	1.662933778	0.8079973781
-15	50	1.29747012003392	0.2391190286	1.673621040	0.8169650555
-20	50	1.32964767674650	0.1428919926	1.681146187	0.8232794033
-25	50	1.36535806256028	0.04070109835	1.684969673	0.8264876895
-30	50	1.40505181196717	-0.06831781104	1.684355324	0.8259721890
-35	50	1.44922357424340	-0.1850249248	1.678316981	0.8209054179
-40	50	1.49840301504817	-0.3102107890	1.665571618	0.8102107890
-45	50	1.55311016708142	-0.4444779798	1.644477980	0.7925111245

45	55	1.08679413043384	1.188687610	1.388687610	0.4822242561
40	55	1.08856940243384	1.116614673	1.434852752	0.5145494362
35	55	1.09331591537665	1.043971475	1.476871778	0.5439714751
30	55	1.10080019937714	0.9706306756	1.515156242	0.5707785453
25	55	1.11084947378144	0.8963854656	1.550051374	0.5952123800
20	55	1.12334977402069	0.8209615909	1.581834724	0.6174673209
15	55	1.13824251730256	0.7440251545	1.610714275	0.6376890005
10	55	1.15552536596280	0.6651882477	1.636829106	0.6559748019
5	55	1.17524916427314	0.5840105483	1.660244962	0.6723707606
0	55	1.19751468902785	0.5000000000	1.680946606	0.6868662078
-5	55	1.22247734662486	0.4126134310	1.698833055	0.6993904343
-10	55	1.25034170328487	0.3212572731	1.713700378	0.7098006459
-15	55	1.28136397104572	0.2252913713	1.725226560	0.7178713654
-20	55	1.31585089942004	0.1240373143	1.732948990	0.7232786691
-25	55	1.35415171730442	0.01679676534	1.736232681	0.7255779344
-30	55	1.39665669127524	-0.09711969761	1.734241654	0.7241838028
-35	55	1.44377394539194	-0.2183393489	1.725894909	0.7183393489
-40	55	1.49591234071521	-0.3473520353	1.709834832	0.7070939619
-45	55	1.55343753559607	-0.4843935976	1.684393598	0.6892798176

45	60	1.07415590984598	1.203200109	1.403200109	0.4059927724
40	60	1.07416022240949	1.131454629	1.452538322	0.4344782029
35	60	1.07735531091310	1.058622080	1.497795010	0.4606071639
30	60	1.08355367627166	0.9845799355	1.539317069	0.4845799355
25	60	1.09261627516558	0.9091340778	1.577390861	0.5065618499
20	60	1.10445366928895	0.8320281277	1.612239783	0.5266818845
15	60	1.11902422034019	0.7529494096	1.644020048	0.5450302290
10	60	1.13633649976920	0.6715342971	1.672819340	0.5616575081
5	60	1.15644712326110	0.5873705725	1.698650214	0.5765709696
0	60	1.17945731903060	0.5000000000	1.721440001	0.5897286595
-5	60	1.20551791514426	0.4089220871	1.741025309	0.6010362421
-10	60	1.23482160968391	0.3135990027	1.757132587	0.6103357838
-15	60	1.26760457843463	0.2134647992	1.769363928	0.6173975514
-20	60	1.30414052686011	0.1079406955	1.777174086	0.6219067486
-25	60	1.34473134898162	-0.003539470205	1.779843879	0.6234481540
-30	60	1.38969858242795	-0.1214920997	1.776455893	0.6214920997
-35	60	1.43936041619129	-0.2463262134	1.765864294	0.6153770371
-40	60	1.49400595327938	-0.3782646711	1.746675077	0.6042981375
-45	60	1.55386084445558	-0.5172407056	1.717240706	0.5873041952

45	65	1.06413818149931	1.214614477	1.414614477	0.3332302032
40	65	1.06262128403836	1.143233035	1.466575280	0.3574599235
35	65	1.06445033030707	1.070350916	1.514545523	0.3798288155
30	65	1.06948524882430	0.9958377780	1.558816224	0.4004725821
25	65	1.07762528688392	0.9194997181	1.599620049	0.4194997181
20	65	1.08881133965086	0.8410868245	1.637128349	0.4369901256
15	65	1.10302560609299	0.7602982380	1.671446249	0.4529928255
10	65	1.12029279115040	0.6767869159	1.702608422	0.4675239852
5	65	1.14067981344222	0.5901634005	1.730572383	0.4805637946
0	65	1.16429134824054	0.5000000000	1.755206315	0.4920507858
-5	65	1.19127482368055	0.4058373895	1.776283563	0.5018792679
-10	65	1.22181034628277	0.3071931868	1.793461774	0.5098895992
-15	65	1.25611172257020	0.2035756321	1.806270802	0.5158625468
-20	65	1.29441625386890	0.09450428775	1.814090313	0.5195088449
-25	65	1.33697567731589	-0.02046005842	1.816130197	0.5204600584
-30	65	1.38404083145939	-0.1416729275	1.811410112	0.5182590467
-35	65	1.43584326757495	-0.2693496813	1.798745214	0.5123533076
-40	65	1.49256244126859	-0.4034878962	1.776734946	0.5020897512
-45	65	1.55430230531580	-0.5437807308	1.743780731	0.4867229482

45	70	1.05637914466490	1.223399014	1.423399014	0.2632957086
40	70	1.05360928435368	1.152364411	1.477457630	0.2829714357
35	70	1.05429174282035	1.079508460	1.527623852	0.3012304474
30	70	1.05832983785367	1.004686769	1.574143125	0.3181620781
25	70	1.06565961699011	0.9276982733	1.617201907	0.3338341929
20	70	1.07625390025411	0.8482925271	1.656925853	0.3482925271
15	70	1.09012031724995	0.7661734624	1.693372885	0.3615581618
10	70	1.10730240483638	0.6810045906	1.726528044	0.3736256527
5	70	1.12787986486095	0.5924139868	1.756296703	0.3844605583
0	70	1.15196284348725	0.5000000000	1.782490983	0.3939944968
-5	70	1.17969668004243	0.4033403496	1.804824859	0.4021233629
-10	70	1.21124948451429	0.3020037560	1.822892499	0.4086994459
-15	70	1.24681255479351	0.1955671686	1.836158794	0.4135279825
-20	70	1.28658720713890	0.08364033845	1.843938768	0.4163596616
-25	70	1.33077686243605	-0.03410203134	1.845385502	0.4168862297
-30	70	1.37956637786362	-0.1578751467	1.839473179	0.4147343200
-35	70	1.43310910380301	-0.2877315323	1.824997218	0.4094655009
-40	70	1.49149033183075	-0.4234876967	1.800569780	0.4005746407
-45	70	1.55471275067589	-0.5646534217	1.764653422	0.3875021553

45	75	1.05060549333141	1.229904585	1.429904585	0.1955773440
40	75	1.04685891888946	1.159165203	1.485562498	0.2104908371
35	75	1.04663438912119	1.086366462	1.537418094	0.2243855019
30	75	1.04987137806708	1.011348751	1.585682017	0.2373177813
25	75	1.05653816728825	0.9339012685	1.630504273	0.2493278685
20	75	1.06663648722307	0.8537693240	1.671973229	0.2604394418
15	75	1.08019776084048	0.7706573832	1.710107105	0.2706573832
10	75	1.09728388817885	0.6842349721	1.744848448	0.2799662977
5	75	1.11798751973157	0.5941428332	1.776057507	0.2883287401
0	75	1.14242497270940	0.5000000000	1.803497786	0.2956813405
-5	75	1.17074032004987	0.4014149901	1.826831819	0.3019336759
-10	75	1.20309057654393	0.2979999878	1.845598997	0.3069623260
-15	75	1.23964723687173	0.1893905085	1.859210403	0.3106094915
-20	75	1.28057967539843	0.07527253992	1.866929106	0.3126777116
-25	75	1.32604880108619	-0.04458445009	1.867865122	0.3129285163
-30	75	1.37618312939402	-0.1702816547	1.860961881	0.3110787986
-35	75	1.43107066586957	-0.3017430457	1.845007733	0.3068038973
-40	75	1.49072121447735	-0.4386475425	1.818636581	0.2997377685
-45	75	1.55505815187040	-0.5803713492	1.780371349	0.2894846305

45	80	1.04661722850849	1.234383933	1.434383933	0.1294917016
40	80	1.04217348616264	1.163867426	1.491166389	0.1395039807
35	80	1.04129443316489	1.091127577	1.544217671	0.1488583529
30	80	1.04394656922598	1.015991899	1.593724186	0.1575876873
25	80	1.05012297124953	0.9382405032	1.639809792	0.1657138230
20	80	1.05984815682815	0.8576136543	1.682535440	0.1732475076
15	80	1.07317277374460	0.7738144718	1.721889521	0.1801866938
10	80	1.09017394101522	0.6865155372	1.757782175	0.1865155372
5	80	1.11095534572953	0.5953660542	1.790038987	0.1922032835
0	80	1.13563901929496	0.5000000000	1.818386111	0.1972016462
-5	80	1.16436793726847	0.4000489298	1.842445961	0.2014440469
-10	80	1.19729089382724	0.2951580515	1.861716418	0.2048419485
-15	80	1.23456367940485	0.1850074749	1.875568108	0.2072843750
-20	80	1.27633060887370	0.06934090023	1.883226152	0.2086346949
-25	80	1.32271947583727	-0.05200130320	1.883770615	0.2087306984
-30	80	1.37381588352982	-0.1790365406	1.876125788	0.2073827092
-35	80	1.42965881608051	-0.3115963408	1.859079696	0.2043770233
-40	80	1.49020327062135	-0.4492636514	1.831288367	0.1994766620
-45	80	1.55531657760720	-0.5913249603	1.791324960	0.1924300352

45	85	1.04427646917005	1.237006010	1.437006010	0.06447967078
40	85	1.03941493673227	1.166627572	1.494455804	0.06950587650
35	85	1.03814095078198	1.093929902	1.548219805	0.07420961715
30	85	1.04043760842423	1.018731993	1.598470167	0.07860595412
25	85	1.04631351889555	0.9408076562	1.645315069	0.08270435202
20	85	1.05580770521754	0.8598933117	1.688798747	0.08650868090
15	85	1.06898324649600	0.7756905486	1.728891134	0.09001631027
10	85	1.08592724958442	0.6878732424	1.765482104	0.09321760530
5	85	1.10675075703651	0.5960953985	1.798375431	0.09609539849
0	85	1.13157975154101	0.5000000000	1.827273749	0.09862367372
-5	85	1.16055639497315	0.3992328412	1.851773895	0.1007671588
-10	85	1.19382434419468	0.2934597824	1.871347781	0.1024796519
-15	85	1.23152944271690	0.1823888225	1.885341052	0.1037039044
-20	85	1.27380007967209	0.06579959887	1.892955798	0.1043701084
-25	85	1.32074305775668	-0.05642371162	1.893254500	0.1043962415
-30	85	1.37241716549239	-0.1842473641	1.885151200	0.1036872945
-35	85	1.42883103464261	-0.3174472603	1.867435675	0.1021373870
-40	85	1.48990642341399	-0.4555497678	1.838779869	0.09963032876
-45	85	1.55547711300054	-0.5977897269	1.797789727	0.09604415604

45	90	1.04350440696558	1.237869042	1.437869042	0.000000000
40	90	1.03850363503090	1.167537269	1.495539939	0.000000000
35	90	1.03709756552134	1.094854726	1.549540591	0.000000000
30	90	1.03927488809790	1.019637444	1.600038455	0.000000000
25	90	1.04504949604678	0.9416570015	1.647136496	0.000000000
20	90	1.05446538435962	0.8606484019	1.690873341	0.000000000
15	90	1.06758992734031	0.7763126056	1.731212683	0.000000000
10	90	1.08451370994662	0.6883238294	1.768037510	0.000000000
5	90	1.10535036386047	0.5963376320	1.801144172	0.000000000
0	90	1.13022724916865	0.5000000000	1.830227249	0.000000000
-5	90	1.15928629014787	0.3989615423	1.854874856	0.000000000
-10	90	1.19266939462782	0.2928951331	1.874550067	0.000000000
-15	90	1.23051898217342	0.1815182521	1.888590065	0.000000000
-20	90	1.27295798203592	0.06462272854	1.896189222	0.000000000
-25	90	1.32008601522769	-0.05789245710	1.896404235	0.000000000
-30	90	1.37195275792065	-0.1859763790	1.888145941	0.000000000
-35	90	1.42855657692930	-0.3193863905	1.870205040	0.000000000
-40	90	1.48980811155370	-0.4576301949	1.841259225	0.000000000
-45	90	1.55553002338312	-0.5999258279	1.799925828	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	1.55553001232378	-0.5999258201	1.799925820	1.347020635e-16
-90	40	1.62544293702649	-0.7451615295	1.744814580	1.524883082e-16
-90	35	1.69913623128262	-0.8918509174	1.674584504	1.704525771e-16
-90	30	1.77608884226763	-1.038138057	1.588044421	1.883675848e-16
-90	25	1.85566169845394	-1.181800647	1.484236521	2.059611780e-16
-90	20	1.93708766429227	-1.320266984	1.362523001	2.229184135e-16
-90	15	2.01952552428226	-1.450711861	1.222691668	2.388933036e-16
-90	10	2.10204054348276	-1.570105824	1.065015510	2.535148472e-16
-90	5	2.18364815389740	-1.675338713	0.8903174768	2.664021592e-16
-90	-2.84217e-14	2.26333673362939	-1.763336734	0.7000000000	2.771788086e-16
-90	-5	2.34009217993321	-1.831187423	0.4960475280	2.854881215e-16
-90	-10	2.41291187729689	-1.876254324	0.2810022496	2.910072252e-16
-90	-15	2.48082468191216	-1.896292631	0.05791532476	2.934612100e-16
-90	-20	2.54292418452049	-1.889567091	-0.1697312941	2.926375690e-16
-90	-25	2.59838179906030	-1.854933658	-0.3981235993	2.883961967e-16
-90	-30	2.64645923664185	-1.791900929	-0.6232296183	2.806769137e-16
-90	-35	2.68651031995079	-1.700660421	-0.8409190155	2.695031740e-16
-90	-40	2.71799542780456	-1.582105294	-1.047093784	2.549843584e-16
-90	-45	2.74049339174097	-1.437821461	-1.237821461	2.373146850e-16

-85	45	1.55547709628153	-0.5977897151	1.797789715	0.09604415501
-85	40	1.62520122465397	-0.7421897162	1.742320933	0.1086775181
-85	35	1.69863372853795	-0.8878797186	1.671803841	0.1214237417
-85	30	1.77525322481329	-1.033020383	1.585089731	0.1341219045
-85	25	1.85442511865443	-1.175421351	1.481261807	0.1465803749
-85	20	1.93539484081614	-1.312561118	1.359718295	0.1585785497
-85	15	2.01733870961808	-1.441678619	1.220271218	0.1698748674
-85	10	2.09934325510315	-1.559818160	1.063201517	0.1802107379
-85	5	2.18045224242748	-1.663951690	0.8893212413	0.1893212413
-85	-2.84217e-14	2.25968079390659	-1.751082026	0.7000000000	0.1969441580
-85	-5	2.33604216131924	-1.818364184	0.4971694160	0.2028305840
-85	-10	2.40855956577743	-1.863212743	0.2833018323	0.2067543245
-85	-15	2.47628162795625	-1.883408928	0.06136750254	0.2085212617
-85	-20	2.53831455520056	-1.877215321	-0.1652356172	0.2079793913
-85	-25	2.59383471922733	-1.843457294	-0.3927720826	0.2050259467
-85	-30	2.64210054540591	-1.781586612	-0.6172746446	0.1996129634
-85	-35	2.68245655976602	-1.691718552	-0.8346578515	0.1917505269
-85	-40	2.71434360938100	-1.574653690	-1.040841146	0.1815086786
-85	-45	2.73731587267647	-1.431881363	-1.231881363	0.1690177185

-80	45	1.55531653584087	-0.5913249310	1.791324931	0.1924300301
-80	40	1.62447192226852	-0.7332184637	1.734793158	0.2174496883
-80	35	1.69712223290972	-0.8759226329	1.663431400	0.2426122835
-80	30	1.77274635159362	-1.017650746	1.576216067	0.2676027738
-80	25	1.85072402860885	-1.156309415	1.472349764	0.2920520383
-80	20	1.93033923522967	-1.289526828	1.351334499	0.3155418624
-80	15	2.01081922868322	-1.414729062	1.213050106	0.3376183943
-80	10	2.09131389093681	-1.529175780	1.057798439	0.3577984386
-80	5	2.17094747907815	-1.630074265	0.8863573507	0.3755895638
-80	-2.84217e-14	2.24881325045694	-1.714648724	0.7000000000	0.3905023229
-80	-5	2.32400315904817	-1.780248310	0.5005041228	0.4020692998
-80	-10	2.39561291783483	-1.824433329	0.2901396892	0.4098603108
-80	-15	2.46275237216289	-1.845065867	0.07164149467	0.4134983839
-80	-20	2.52456657795133	-1.840407083	-0.1518385144	0.4126769146
-80	-25	2.58024881724783	-1.809199180	-0.3767972618	0.4071741192
-80	-30	2.62905045756236	-1.750733944	-0.5994618486	0.3968651208
-80	-35	2.67028774926437	-1.664905556	-0.8158831895	0.3817312601
-80	-40	2.70335102180894	-1.552249933	-1.022042162	0.3618670344
-80	-45	2.72772399928148	-1.413972582	-1.213972582	0.3374850065

-75	45	1.55505808555465	-0.5803713031	1.780371303	0.2894846182
-75	40	1.62326270452850	-0.7180956601	1.722103619	0.3263877484
-75	35	1.69461388185227	-0.8558701502	1.649390500	0.3633043118
-75	30	1.76859450049017	-0.9920040472	1.561408938	0.3997812795
-75	25	1.84461149490549	-1.124568739	1.457548844	0.4353018817
-75	20	1.92201365664947	-1.251436261	1.337470666	0.4692959316
-75	15	2.00010749444492	-1.370326773	1.201152548	0.5011525483
-75	10	2.07815094975935	-1.478843230	1.048923452	0.5302294455
-75	5	2.15538514675264	-1.574547638	0.8814994003	0.5558733642
-75	-2.84217e-14	2.23103093950751	-1.655010404	0.7000000000	0.5774332974
-75	-5	2.30430015186117	-1.717877600	0.5059608529	0.5942785119
-75	-10	2.37439999852252	-1.760935551	0.3013360607	0.6058158551
-75	-15	2.44053731246177	-1.782178477	0.08849212019	0.6115078798
-75	-20	2.50192593228221	-1.779881719	-0.1298090833	0.6108924654
-75	-25	2.55779386876428	-1.752675954	-0.3504400489	0.6036027028
-75	-30	2.60738957365927	-1.699619978	-0.5699511865	0.5893863968
-75	-35	2.64999157930184	-1.620273249	-0.7846313118	0.5681255047
-75	-40	2.68492218498935	-1.514764494	-0.9905881437	0.5398545191
-75	-45	2.71155874316484	-1.383846192	-1.183846192	0.5047750658

-70	45	1.55471260430885	-0.5646533215	1.764653321	0.3875021188
-70	40	1.62157777737295	-0.6965612247	1.704034082	0.4355126693
-70	35	1.69112183527520	-0.8275383950	1.629552391	0.4831844606
-70	30	1.76283999948851	-0.9560436749	1.540647208	0.5299565575
-70	25	1.83618146849179	-1.080381876	1.436944171	0.5752119615
-70	20	1.91058028333545	-1.198747543	1.318293541	0.6182935410
-70	15	1.98544695271247	-1.309239895	1.184784369	0.6585094684
-70	10	2.06018559650627	-1.409901290	1.036767128	0.6951472198
-70	5	2.13417871644681	-1.498728775	0.8748661093	0.7274777805
-70	-2.84217e-14	2.20681191881917	-1.573724876	0.7000000000	0.7547741288
-70	-5	2.27745028228977	-1.632907323	0.5133947889	0.7763147781
-70	-10	2.34544250872353	-1.674349573	0.3166035048	0.7913985235
-70	-15	2.41012031588682	-1.696223788	0.1115236096	0.7993600866
-70	-20	2.47079365794268	-1.696848094	-0.09958731556	0.7995873156
-70	-25	2.52675028693127	-1.674747119	-0.3141012359	0.7915432182
-70	-30	2.57725656871350	-1.628723042	-0.5290188211	0.7747918241
-70	-35	2.62156342472158	-1.557939309	-0.7409846174	0.7490286524
-70	-40	2.65891672813125	-1.462012986	-0.9463243727	0.7141143261
-70	-45	2.68857146404411	-1.341109753	-1.141109753	0.6701091482

-65	45	1.55430212574563	-0.5437806102	1.743780610	0.4867228920
-65	40	1.61943591362105	-0.6682615032	1.680287796	0.5447692857
-65	35	1.68667572736694	-0.7906888410	1.603750056	0.6018580908
-65	30	1.75554219271208	-0.9097325030	1.513909440	0.6573690621
-65	25	1.82555522704920	-1.024004774	1.410655097	0.7106550973
-65	20	1.89624990158828	-1.132082138	1.294029318	0.7610523995
-65	15	1.96716535132749	-1.232503209	1.164222836	0.8078795141
-65	10	2.03785722898358	-1.323784672	1.021582445	0.8504447592
-65	5	2.10788184757947	-1.404412434	0.8666144986	0.8880421021
-65	-2.84217e-14	2.17679445103542	-1.472845762	0.7000000000	0.9199530871
-65	-5	2.24414001118401	-1.527517882	0.5226151702	0.9454471156
-65	-10	2.30943096835955	-1.566830169	0.3355620767	0.9637787358
-65	-15	2.37214526091455	-1.589173274	0.1402077085	0.9741974967
-65	-20	2.43171561139343	-1.592951783	-0.06177215087	0.9759594447
-65	-25	2.48752027796819	-1.576624538	-0.2683459252	0.9683459252
-65	-30	2.53887515562031	-1.538763205	-0.4770804854	0.9506908958
-65	-35	2.58502940360262	-1.478132815	-0.6851035087	0.9224184805
-65	-40	2.62516944062041	-1.393797940	-0.8890851528	0.8830924823
-65	-45	2.65843304247902	-1.285251926	-1.085251926	0.8324766447

-60	45	1.55386044194263	-0.5172404421	1.717240442	0.5873040431
-60	40	1.61686095657818	-0.6327451960	1.650486076	0.6539907438
-60	35	1.68131702613516	-0.7450361736	1.571783714	0.7188219700
-60	30	1.74679367426215	-0.8530605619	1.481189880	0.7811898797
-60	25	1.81290029984984	-0.9557921125	1.378847011	0.8405019681
-60	20	1.87928896124288	-1.052226411	1.264964210	0.8961783362
-60	15	1.94564843212040	-1.141368518	1.139803369	0.9476445560
-60	10	2.01169104307576	-1.222211646	1.003672380	0.9943193575
-60	5	2.07714088613166	-1.293715551	0.8569297763	1.035602156
-60	-2.84217e-14	2.14173665352864	-1.354798350	0.7000000000	1.070868327
-60	-5	2.20519716623895	-1.404298585	0.5333954618	1.099447301
-60	-10	2.26720738103985	-1.440959557	0.3577564616	1.120613523
-60	-15	2.32741119606207	-1.463427413	0.1739012104	1.133585345
-60	-20	2.38538939234425	-1.470247520	-0.01711145137	1.137522936
-60	-25	2.44064233377309	-1.459880452	-0.2139072638	1.131537507
-60	-30	2.49257302720091	-1.430738765	-0.4147125455	1.114712546
-60	-35	2.54047241348356	-1.381251426	-0.6172664297	1.086141017
-60	-40	2.58351231025597	-1.309964639	-0.8187406613	1.044983572
-60	-45	2.62074341226261	-1.215679295	-1.015679295	0.9905479027

-55	45	1.55343718421026	-0.4843933749	1.684393375	0.6892796617
-55	40	1.61389988499262	-0.5894838389	1.614185487	0.7628647968
-55	35	1.67510934237100	-0.6902736937	1.533438613	0.8334386129
-55	30	1.73670894532842	-0.7860545789	1.442503957	0.9005051107
-55	25	1.79841767116293	-0.8761967294	1.341731074	0.9636233240
-55	20	1.86001866419299	-0.9601231802	1.231441376	1.022389257
-55	15	1.92134154879402	-1.037276239	1.111911927	1.076412411
-55	10	1.98226241594082	-1.107096807	0.9833745278	1.125301299
-55	5	2.04266844040601	-1.168975514	0.8460164372	1.168629236
-55	-2.84217e-14	2.10245799774148	-1.222232767	0.7000000000	1.205920366
-55	-5	2.16151852746610	-1.266082749	0.5454877806	1.236624454
-55	-10	2.21970634514905	-1.299601784	0.3826816509	1.260094735
-55	-15	2.27683162605160	-1.321705860	0.2118753860	1.275572175
-55	-20	2.33263907492637	-1.331132370	0.03352232242	1.282172689
-55	-25	2.38677977355883	-1.326426959	-0.1516768780	1.278877925
-55	-30	2.43878781238839	-1.305952714	-0.3426672855	1.264541704
-55	-35	2.48805434745549	-1.267923779	-0.5379135569	1.237913557
-55	-40	2.53380100189811	-1.210474899	-0.7352588568	1.197687418
-55	-45	2.57505641474273	-1.131780480	-0.9317804804	1.142584993

-50	45	1.55310962044932	-0.4444776474	1.644477647	0.7925108456
-50	40	1.61061853507633	-0.5378833532	1.570887539	0.8708875389
-50	35	1.66814581011913	-0.6261032472	1.488505982	0.9449128194
-50	30	1.72544200442903	-0.7088152252	1.397909796	1.014316410
-50	25	1.78234828527652	-0.7857865319	1.299572107	1.078903005
-50	20	1.83878701070955	-0.8568397817	1.193849293	1.138523760
-50	15	1.89473115724734	-0.9218054745	1.080971629	1.193036449
-50	10	1.95019259168701	-0.9804894310	0.9610502313	1.242278136
-50	5	2.00520389936149	-1.032637082	0.8340883700	1.286035210
-50	-2.84217e-14	2.05980930223529	-1.077905470	0.7000000000	1.324019898
-50	-5	2.11404253483005	-1.115825694	0.5586335696	1.355838744
-50	-10	2.16791037921586	-1.145769970	0.4098063502	1.380964975
-50	-15	2.22138433459242	-1.166925883	0.2533485557	1.398716894
-50	-20	2.27437417158732	-1.178259275	0.08916357870	1.408226738
-50	-25	2.32670142725918	-1.178483035	-0.08268949319	1.408414495
-50	-30	2.37807187257027	-1.166036574	-0.2618866647	1.397970675
-50	-35	2.42803819942099	-1.139078361	-0.4476950242	1.375350048
-50	-40	2.47595627416599	-1.095507406	-0.6387896755	1.338789676
-50	-45	2.52093712510885	-1.033033299	-0.8330332990	1.286367676

-45	45	1.55298509546913	-0.3966163629	1.596616363	0.8966163629
-45	40	1.60711888912117	-0.4773217856	1.520070350	0.9773217856
-45	35	1.66055507823507	-0.5522726212	1.436809222	1.052272621
-45	30	1.71317754318718	-0.6215379672	1.347520247	1.121537967
-45	25	1.76497016832904	-0.6852532457	1.252692665	1.185253246
-45	20	1.81598239867673	-0.7435685458	1.152621935	1.243568546
-45	15	1.86631492507644	-0.7966159312	1.047427192	1.296615931
-45	10	1.91610173406250	-0.8444784676	0.9370678288	1.344478468
-45	5	1.96549247657791	-0.8871611682	0.8213608767	1.387161168
-45	-2.84217e-14	2.01464290477791	-0.9245676596	0.7000000000	1.424567660
-45	-5	2.06370458875555	-0.9564751085	0.5725749393	1.456475109
-45	-10	2.11281183998201	-0.9825048036	0.4385944041	1.482504804
-45	-15	2.16207738019201	-1.002095889	0.2975146197	1.502095889
-45	-20	2.21156659547374	-1.014461075	0.1487812479	1.514461075
-45	-25	2.26127847015451	-1.018545579	-0.008109432734	1.518545579
-45	-30	2.31111858849610	-1.012982267	-0.1735207194	1.512982267
-45	-35	2.36085308375741	-0.9960425555	-0.3475402748	1.496042555
-45	-40	2.41005265494178	-0.9656021904	-0.5297862574	1.465602190
-45	-45	2.45802425425618	-0.9191409649	-0.7191409649	1.419140965


### -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	2.74049341208413	-1.437821475	-1.237821475	2.373146867e-16
-40	-90	2.75369728450443	-1.270042495	-1.409454503	2.583336705e-16
-35	-90	2.75742256293340	-1.081592607	-1.558748329	2.766168912e-16
-30	-90	2.75163938416818	-0.8758196921	-1.682989609	2.918320597e-16
-25	-90	2.73642583156351	-0.6564635283	-1.780044040	3.037177995e-16
-20	-90	2.71199148446312	-0.4275557162	-1.848438386	3.120936912e-16
-15	-90	2.67865603833334	-0.1932871980	-1.887383047	3.168630367e-16
-10	-90	2.63685553703444	0.04211484122	-1.896795776	3.180157636e-16
-5	-90	2.58714811496072	0.2745151844	-1.877303235	3.156286158e-16
-2.84217e-14	-90	2.53020139167013	0.5000000000	-1.830201392	3.098603036e-16
5	-90	2.46677936563045	0.7149939878	-1.757392525	3.009437890e-16
10	-90	2.39773274686277	0.9163619220	-1.661305799	2.891765588e-16
15	-90	2.32398197845301	1.101490796	-1.544794213	2.749080047e-16
20	-90	2.24650567811290	1.268350194	-1.411024808	2.585259774e-16
25	-90	2.16631525432323	1.415524387	-1.263348384	2.404408314e-16
30	-90	2.08441414402815	1.542207072	-1.105155601	2.210678028e-16
35	-90	2.00182494583436	1.648199619	-0.9397989967	2.008174593e-16
40	-90	1.91952079751705	1.733844185	-0.7704382404	1.800767484e-16
45	-90	1.83841583955875	1.799956307	-0.5999563068	1.591987330e-16

-45	-85	2.73731590317244	-1.431881384	-1.231881384	0.1690177204
-40	-85	2.74992485846911	-1.263661139	-1.401849499	0.1838880036
-35	-85	2.75309604307464	-1.075071344	-1.549435000	0.1968000619
-30	-85	2.74683118570573	-0.8694903020	-1.672026784	0.2075254531
-25	-85	2.73123376507867	-0.6506577452	-1.767593498	0.2158864572
-20	-85	2.70653352800820	-0.4225764406	-1.834757938	0.2217625844
-15	-85	2.67306680166036	-0.1893833513	-1.872813693	0.2250920315
-10	-85	2.63127667657879	0.04477016658	-1.881736678	0.2258726915
-5	-85	2.58171965538914	0.2758380760	-1.862182515	0.2241619240
-2.84217e-14	-85	2.52505347883927	0.5000000000	-1.815444888	0.2200729114
5	-85	2.46202510135697	0.7137692536	-1.743393749	0.2137692536
10	-85	2.39346094542547	0.9140859976	-1.648398390	0.2054582365
15	-85	2.32025526404353	1.098393332	-1.533234317	0.1953826858
20	-85	2.24335573445496	1.264692965	-1.400976654	0.1838116396
25	-85	2.16374376181533	1.411576501	-1.254882114	0.1710300235
30	-85	2.08239530773998	1.538221859	-1.098253009	0.1573267524
35	-85	2.00031072881836	1.644396003	-0.9343668707	0.1429885732
40	-85	1.91844573266759	1.730392960	-0.7663252304	0.1282868347
45	-85	1.83770424064343	1.796973655	-0.5969736550	0.1134704917

-45	-80	2.72772404431599	-1.413972613	-1.213972613	0.3374850121
-40	-80	2.73856836762153	-1.244475710	-1.378985194	0.3665811823
-35	-80	2.74010990023858	-1.055520201	-1.521513074	0.3917126929
-30	-80	2.73243359023885	-0.8505610721	-1.639240396	0.4124711961
-25	-80	2.71571865403571	-0.6333319449	-1.730438199	0.4285518295
-20	-80	2.69025441924857	-0.4077448572	-1.794008498	0.4397609883
-15	-80	2.65642026591534	-0.1777718648	-1.829479035	0.4460154011
-10	-80	2.61467906679985	0.05266012839	-1.836990481	0.4473398716
-5	-80	2.56558060024050	0.2797667571	-1.817277486	0.4438639386
-2.84217e-14	-80	2.50975277331966	0.5000000000	-1.771623989	0.4358139955
5	-80	2.44789084271733	0.7101305796	-1.701803516	0.4235027622
10	-80	2.38075276719142	0.9073179193	-1.610014711	0.4073179193
15	-80	2.30915515980257	1.089168973	-1.498808540	0.3877092710
20	-80	2.23395691928601	1.253781089	-1.370996520	0.3651725635
25	-80	2.15605305342560	1.399770599	-1.229564277	0.3402342430
30	-80	2.07634276756892	1.526274792	-1.077560082	0.3134318023
35	-80	1.99575906302644	1.632963148	-0.9180390613	0.2853039423
40	-80	1.91520515899606	1.719991043	-0.7539287085	0.2563668593
45	-80	1.83555287560584	1.787959441	-0.5879594405	0.2271019994

-45	-75	2.71155878280916	-1.383846220	-1.183846220	0.5047750732
-40	-75	2.71953057970504	-1.212379666	-1.340734619	0.5468131931
-35	-75	2.71845270773119	-1.022985975	-1.475049385	0.5828027261
-30	-75	2.70853482920994	-0.8192148403	-1.584947129	0.6122497381
-25	-75	2.69007406974941	-0.6047651540	-1.669176518	0.6348189348
-20	-75	2.66344667460684	-0.3833803651	-1.727067606	0.6503308050
-15	-75	2.62908875599320	-0.1587518588	-1.758495407	0.6587518588
-10	-75	2.58748687303697	0.06555857887	-1.763839733	0.6601838668
-5	-75	2.53917466424823	0.2861826786	-1.743943167	0.6548525979
-2.84217e-14	-75	2.48472792034060	0.5000000000	-1.700062870	0.6430949077
5	-75	2.42476150537768	0.7041828857	-1.633821062	0.6253454690
10	-75	2.35992954180641	0.8962343363	-1.547156588	0.6021237930
15	-75	2.29092326648310	1.074020164	-1.442272418	0.5740201645
20	-75	2.21847185591165	1.235796401	-1.321583998	0.5416817996
25	-75	2.14333440154149	1.380228982	-1.187657144	0.5057962073
30	-75	2.06629439806374	1.506406196	-1.043146665	0.4670747411
35	-75	1.98817031233071	1.613852558	-0.8907463103	0.4262391892
40	-75	1.90977855792556	1.702511196	-0.7330970377	0.3839971939
45	-75	1.83193382087844	1.772729776	-0.5727297763	0.3410269157

-45	-70	2.68857149250635	-1.341109773	-1.141109773	0.6701091553
-40	-70	2.69267063434630	-1.167223816	-1.286919972	0.7231797277
-35	-70	2.68812148044605	-0.9775693262	-1.410187688	0.7680455072
-30	-70	2.67529303274027	-0.7757695641	-1.509697704	0.8042641909
-25	-70	2.65462469049107	-0.5654231221	-1.584807259	0.8316018332
-20	-70	2.62658767844921	-0.3500046874	-1.635368685	0.8500046874
-15	-70	2.59167280607743	-0.1328058595	-1.661663619	0.8595752607
-10	-70	2.55037844199902	0.08310376292	-1.664336050	0.8605479460
-5	-70	2.50320613225243	0.2948972531	-1.644335124	0.8532682044
-2.84217e-14	-70	2.45066066674004	0.5000000000	-1.602867745	0.8381753125
5	-70	2.39325356627543	0.6960936713	-1.541360919	0.8157886587
10	-70	2.33150576209037	0.8811183325	-1.461429470	0.7866959905
15	-70	2.26595749712716	1.053276316	-1.364855321	0.7515458748
20	-70	2.19717891961013	1.211041324	-1.253569982	0.7110413241
25	-70	2.12575776399637	1.353164473	-1.129617116	0.6659261702
30	-70	2.05232641643900	1.478694874	-0.9951492469	0.6169838685
35	-70	1.97755115269123	1.586992885	-0.8523867226	0.5650225591
40	-70	1.90212859204785	1.677743036	-0.7035794949	0.5108611576
45	-70	1.82679225398546	1.750971038	-0.5509710383	0.4553162219

-45	-65	2.65843323004833	-1.285252052	-1.085252052	0.8324767035
-40	-65	2.65782087512499	-1.108849938	-1.217352693	0.8940762443
-35	-65	2.64914180598457	-0.9194560439	-1.327193320	0.9452957696
-30	-65	2.63295870456534	-0.7206997666	-1.414314017	0.9859208177
-25	-65	2.60983668870433	-0.5159614558	-1.478736373	1.015961456
-20	-65	2.58033436450364	-0.3083292510	-1.520866365	1.035606994
-15	-65	2.54497627153961	-0.1005779335	-1.541387362	1.045176092
-10	-65	2.50424865782928	0.1048190257	-1.541182675	1.045080645
-5	-65	2.45860018616024	0.3056634731	-1.521276666	1.035798320
-2.84217e-14	-65	2.40844606401183	0.5000000000	-1.482793422	1.017853289
5	-65	2.35417597848105	0.6860824651	-1.426932309	0.9918048239
10	-65	2.29616638553545	0.8623447163	-1.354959002	0.9582431198
15	-65	2.23479973611533	1.027380716	-1.268211626	0.9177921539
20	-65	2.17046294081329	1.179930751	-1.168094386	0.8711067185
25	-65	2.10356121411719	1.318877719	-1.056088934	0.8188777185
30	-65	2.03454501990903	1.443261520	-0.9337768783	0.7618426701
35	-65	1.96391044725700	1.552297219	-0.8028361752	0.7007840175
40	-65	1.89221149913601	1.645406141	-0.6650418839	0.6365294842
45	-65	1.82006405546775	1.722251156	-0.5222511563	0.5699450744

-45	-60	2.62074360135635	-1.215679419	-1.015679419	0.9905479742
-40	-60	2.61480217736609	-1.037134688	-1.131885786	1.057639752
-35	-60	2.60160495755600	-0.8489644114	-1.226520835	1.112277323
-30	-60	2.58188691717859	-0.6546549314	-1.299921006	1.154654931
-25	-60	2.55632311086426	-0.4572243451	-1.352774233	1.185169756
-20	-60	2.52551409894990	-0.2592366625	-1.385985586	1.204344340
-15	-60	2.48998166562276	-0.06284697032	-1.400573490	1.212766670
-10	-60	2.45017024063386	0.1301375252	-1.397594329	1.211046650
-5	-60	2.40645140585136	0.3181905313	-1.378091736	1.199786823
-2.84217e-14	-60	2.35913504045327	0.5000000000	-1.343070876	1.179567520
5	-60	2.30848602695217	0.6744081003	-1.293493708	1.150944129
10	-60	2.25473801329099	0.8403612401	-1.230284513	1.114450283
15	-60	2.19810660609250	0.9968701821	-1.154344764	1.070606449
20	-60	2.13880037754320	1.142980240	-1.066573689	1.019931795
25	-60	2.07704300842357	1.277756194	-0.9679035407	0.9629645582
30	-60	2.01310056047188	1.400285940	-0.8593409890	0.9002859398
35	-60	1.94728514744662	1.509691481	-0.7419888761	0.8325326658
40	-60	1.87998625029579	1.605166617	-0.6170862868	0.7604201222
45	-60	1.81166752687866	1.686014797	-0.4860147966	0.6847459621

-45	-55	2.57505614052997	-1.131780307	-0.9317803067	1.142584871
-40	-55	2.56346105673671	-0.9520596459	-1.030497300	1.211707254
-35	-55	2.54567963004500	-0.7665846020	-1.108870275	1.266584602
-30	-55	2.52256341499449	-0.5784842925	-1.167989590	1.307980392
-25	-55	2.49483352181591	-0.3902337990	-1.209112543	1.336774994
-20	-55	2.46308522536512	-0.2037485303	-1.233533196	1.353874519
-15	-55	2.42779507069223	-0.02048931426	-1.242492566	1.360147937
-10	-55	2.38933023184929	0.1584330507	-1.237122430	1.356387728
-5	-55	2.34796388440618	0.3321600734	-1.218419139	1.343291543
-2.84217e-14	-55	2.30389087826184	0.5000000000	-1.187236923	1.321457520
5	-55	2.25724826441518	0.6613552855	-1.144299353	1.291392309
10	-55	2.20813464707075	0.8156641158	-1.090220161	1.253525652
15	-55	2.15661756795467	0.9623522029	-1.025521912	1.208223450
20	-55	2.10274264752126	1.100792061	-0.9506626201	1.155806410
25	-55	2.04657374553093	1.230280840	-0.8660923156	1.096589645
30	-55	1.98819744084403	1.350024105	-0.7722849383	1.030905012
35	-55	1.92774223734171	1.459134294	-0.6697857300	0.9591342939
40	-55	1.86541705226394	1.556656124	-0.5592737320	0.8817529598
45	-55	1.80152249736349	1.641601881	-0.4416018808	0.7993582426

-45	-50	2.52093733419074	-1.033033426	-0.8330334261	1.286367782
-40	-50	2.50372609008399	-0.8538052649	-0.9134022882	1.353805265
-35	-50	2.48164976386234	-0.6730363577	-0.9752695361	1.405718050
-30	-50	2.45559194216848	-0.4932421178	-1.020345812	1.443541537
-25	-50	2.42624597626183	-0.3161757290	-1.050294499	1.468671469
-20	-50	2.39413386423668	-0.1430006900	-1.066629877	1.482378478
-15	-50	2.35963263917266	0.02555111252	-1.070667354	1.485766323
-10	-50	2.32300123374925	0.1890460911	-1.063507250	1.479758283
-5	-50	2.28440225056543	0.3472415826	-1.046036700	1.465098751
-2.84217e-14	-50	2.24391552068945	0.5000000000	-1.018939015	1.442361094
5	-50	2.20156127695333	0.6472188255	-0.9827188758	1.411968788
10	-50	2.15731765636842	0.7887757218	-0.9377285009	1.374217381
15	-50	2.11112745935416	0.9244822087	-0.8841891698	1.329292548
20	-50	2.06291274997430	1.054043507	-0.8222220241	1.277295939
25	-50	2.01259362304291	1.177025365	-0.7518855804	1.218276655
30	-50	1.96009675824049	1.292823360	-0.6732103416	1.152260291
35	-50	1.90539355379918	1.400649216	-0.5862603827	1.079300613
40	-50	1.84850468960130	1.499516437	-0.4911773048	0.9995164371
45	-50	1.78955141856627	1.588262729	-0.3882627288	0.9131608544

-45	-45	2.45802385623833	-0.9191407351	-0.7191407351	1.419140735
-40	-45	2.43566590078447	-0.7428560207	-0.7811781277	1.481178128
-35	-45	2.40997204315991	-0.5693349763	-0.8271686150	1.527168615
-30	-45	2.38174971930332	-0.4002167775	-0.8592211964	1.559221196
-25	-45	2.35157179220481	-0.2363843904	-0.8791814214	1.579181421
-20	-45	2.31982362900568	-0.07820112159	-0.8885945255	1.588594525
-15	-45	2.28674421707272	0.07430704181	-0.8887077484	1.588707748
-10	-45	2.25246249615439	0.2213162621	-0.8804940163	1.580494016
-5	-45	2.21702371831663	0.3631081292	-0.8646812428	1.564681243
-2.84217e-14	-45	2.18040224832829	0.5000000000	-0.8417772155	1.541777216
5	-45	2.14252012508272	0.6322915879	-0.8120997689	1.512099769
10	-45	2.10326106383759	0.7602239354	-0.7758032738	1.475803274
15	-45	2.06247110713927	0.8839429964	-0.7328947699	1.432894770
20	-45	2.01997820664536	1.003466578	-0.6832630552	1.383263055
25	-45	1.97559525677235	1.118648988	-0.6266970356	1.326697036
30	-45	1.92913085743437	1.229142928	-0.5629125971	1.262912597
35	-45	1.88040788343212	1.334360683	-0.4915905461	1.191590546
40	-45	1.82928865835576	1.433437719	-0.4124277550	1.112427755
45	-45	1.77570705783031	1.525204948	-0.3252049478	1.025204948