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# N_patches = 5
# origin = 0.4 0.6 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	2.36776284322860	-0.9670285149	-0.7670285149	1.367028515
-40	-45	2.35123317080507	-0.7997722271	-0.8298328620	1.429832862
-35	-45	2.33200318174103	-0.6347392096	-0.8777607397	1.477760740
-30	-45	2.31071660388469	-0.4733687835	-0.9127191067	1.512719107
-25	-45	2.28783044064847	-0.3164240658	-0.9363763672	1.536376367
-20	-45	2.26365336160659	-0.1642010436	-0.9501296275	1.550129627
-15	-45	2.23837879177024	-0.01668940597	-0.9551060341	1.555106034
-10	-45	2.21210987716427	0.1263088507	-0.9521796390	1.552179639
-5	-45	2.18487840589504	0.2650929668	-0.9419944457	1.541994446
0	-45	2.15666261517611	0.4000000000	-0.9249907599	1.524990760
5	-45	2.12739674115948	0.5313577827	-0.9014263264	1.501426326
10	-45	2.09697665104529	0.6594464025	-0.8713936658	1.471393666
15	-45	2.06526986196958	0.7844640036	-0.8348391953	1.434839195
20	-45	2.03211887845832	0.9064925626	-0.7915768790	1.391576879
25	-45	1.99734720107051	1.025460514	-0.7413044001	1.341304400
30	-45	1.96076772232280	1.141100539	-0.6836237868	1.283623787
35	-45	1.92219423375338	1.252901813	-0.6180700245	1.218070025
40	-45	1.88145449225001	1.360056567	-0.5441508629	1.144150863
45	-45	1.83842021596853	1.461412407	-0.4614124066	1.061412407

-45	-40	2.32681458902675	-1.014983424	-0.5873120694	1.414983424
-40	-40	2.30880014501609	-0.8484056480	-0.6484056480	1.487791916
-35	-40	2.28800831049376	-0.6815051237	-0.6960308207	1.544549387
-30	-40	2.26506679411321	-0.5161781732	-0.7315396359	1.586867145
-25	-40	2.24044385445972	-0.3536729227	-0.7562004836	1.616256799
-20	-40	2.21447409047710	-0.1947488524	-0.7711383397	1.634059042
-15	-40	2.18738413813429	-0.03981506002	-0.7773083296	1.641412150
-10	-40	2.15931445414205	0.1109569895	-0.7754893468	1.639244371
-5	-40	2.13033600847752	0.2575440219	-0.7662885442	1.628279281
0	-40	2.10046939765764	0.4000000000	-0.7501557033	1.609052910
5	-40	2.06969400024647	0.5384008354	-0.7273958621	1.581928787
10	-40	2.03795599531654	0.6727981258	-0.6981836691	1.547115052
15	-40	2.00517935575506	0.8031793334	-0.6625812636	1.504685757
20	-40	1.97127132789388	0.9294310577	-0.6205542197	1.454599876
25	-40	1.93613243710467	1.051304245	-0.5719926577	1.396726460
30	-40	1.89966397392058	1.168379402	-0.5167343421	1.330872164
35	-40	1.86178062385760	1.280034078	-0.4545962875	1.256818914
40	-40	1.82242572948008	1.385415121	-0.3854151208	1.174372010
45	-40	1.78158995888117	1.483421203	-0.3090983316	1.083421203

-45	-35	2.28514853434903	-1.048069546	-0.4139492119	1.448069546
-40	-35	2.26520179385313	-0.8831121839	-0.4707248462	1.529153555
-35	-35	2.24251084302018	-0.7157451511	-0.5157451511	1.593449214
-30	-35	2.21768297438069	-0.5481372161	-0.5498961053	1.642221831
-25	-35	2.19119152170573	-0.3818849376	-0.5740783532	1.676757660
-20	-35	2.16339263410559	-0.2181208717	-0.5891436529	1.698273138
-15	-35	2.13454205429017	-0.05761948507	-0.5958558642	1.707859169
-10	-35	2.10481529437459	0.09910591288	-0.5948727708	1.706455166
-5	-35	2.07432256892602	0.2517208250	-0.5867388515	1.694838725
0	-35	2.04312687289314	0.4000000000	-0.5718894308	1.673631555
5	-35	2.01125170674893	0.5437706691	-0.5506554363	1.643306268
10	-35	1.97869235971830	0.6828641700	-0.5232746307	1.604202425
15	-35	1.94542480434144	0.8170750796	-0.4899048140	1.556545388
20	-35	1.91141523523661	0.9461263170	-0.4506402117	1.500469724
25	-35	1.87662604581839	1.069638242	-0.4055287251	1.436043845
30	-35	1.84102881980738	1.187104361	-0.3545962584	1.363304744
35	-35	1.80460936064692	1.297870416	-0.2978704162	1.282291845
40	-35	1.76738484091388	1.401126270	-0.2354146933	1.193095829
45	-35	1.72941209862656	1.495906439	-0.1673619496	1.095906439

-45	-30	2.24329273989873	-1.068579827	-0.2478849582	1.468579827
-40	-30	2.22105686438675	-0.9056680077	-0.2983769599	1.556034539
-35	-30	2.19619437975048	-0.7387540027	-0.3389500885	1.626309259
-30	-30	2.16929561716117	-0.5701384927	-0.3701384927	1.680329160
-25	-30	2.14083749752116	-0.4016442690	-0.3925411398	1.719131683
-20	-30	2.11119592780155	-0.2346816083	-0.4067680346	1.743773387
-15	-30	2.08065585140216	-0.07032107039	-0.4134010636	1.755262131
-10	-30	2.04942624845977	0.09063134818	-0.4129707529	1.754516811
-5	-30	2.01765518978218	0.2475644191	-0.4059443149	1.742346663
0	-30	1.98544503701192	0.4000000000	-0.3927225185	1.719445840
5	-30	1.95286025400088	0.5475402679	-0.3736394406	1.686392979
10	-30	1.91993854897948	0.6898219933	-0.3489688146	1.643662202
15	-30	1.88669880014133	0.8264781216	-0.3189326382	1.591638018
20	-30	1.85315269816921	0.9571069551	-0.2837147112	1.530638779
25	-30	1.81930788270865	1.081246353	-0.2434726698	1.460937519
30	-30	1.78518149639447	1.198357436	-0.1983574356	1.382795641
35	-30	1.75080017568931	1.307811588	-0.1485284523	1.296489310
40	-30	1.71621807155397	1.408894039	-0.09417888322	1.202353095
45	-30	1.68151395960217	1.500809286	-0.03555253760	1.100809286

-45	-25	2.20155734295790	-1.078440278	-0.08940802375	1.478440278
-40	-25	2.17677659016030	-0.9176609886	-0.1322556071	1.570327217
-35	-25	2.14955253010701	-0.7517674606	-0.1670268570	1.644894403
-30	-25	2.12046450733325	-0.5830957564	-0.1940155299	1.702771799
-25	-25	2.08999631869184	-0.4135971541	-0.2135971541	1.744764727
-20	-25	2.05854308808386	-0.2448701437	-0.2261881281	1.771766158
-15	-25	2.02641714707643	-0.07820541050	-0.2322131635	1.784686888
-10	-25	1.99385931597809	0.08536061117	-0.2320834167	1.784408646
-5	-25	1.96105229419810	0.2449914329	-0.2261834047	1.771756029
0	-25	1.92813309499476	0.4000000000	-0.2148642570	1.747482038
5	-25	1.89520062433400	0.5498034162	-0.1984403624	1.712260883
10	-25	1.86232489350401	0.6938827036	-0.1771910726	1.666691634
15	-25	1.82955687881358	0.8317492080	-0.1513661835	1.611309980
20	-25	1.79693780696068	0.9629182836	-0.1211938830	1.546605273
25	-25	1.76450105964264	1.086887832	-0.08688783211	1.473035710
30	-25	1.73228610725334	1.203127388	-0.04866073759	1.391057441
35	-25	1.70033366548993	1.311068216	-0.006731665781	1.301140256
40	-25	1.66870377464799	1.410110948	0.03865727834	1.203803351
45	-25	1.63746990516492	1.499631345	0.08723348275	1.099631345

-45	-20	2.16009891883589	-1.079216469	0.06160923529	1.479216469
-40	-20	2.13261566930378	-0.9204539717	0.02723614271	1.573655765
-35	-20	2.10292699881589	-0.7559077413	-0.0008447330548	1.650807337
-30	-20	2.07160810524367	-0.5878897515	-0.02278045664	1.711075242
-25	-20	2.03915168181785	-0.4184054639	-0.03879548880	1.755076181
-20	-20	2.00597151585090	-0.2491636298	-0.04916362978	1.783562414
-15	-20	1.97240433101687	-0.08159976639	-0.05418364655	1.797354797
-10	-20	1.93871928628262	0.08308829705	-0.05416209306	1.797295579
-5	-20	1.90512794403236	0.2439013993	-0.04940121351	1.784215170
0	-20	1.87179427667917	0.4000000000	-0.04019134679	1.758911269
5	-20	1.83884259353566	0.5506674429	-0.02680651735	1.722136753
10	-20	1.80636479183404	0.6952764469	-0.009503078356	1.674595945
15	-20	1.77443143190407	0.8332609443	0.01147765373	1.616951857
20	-20	1.74309665028294	0.9640932285	0.03590677155	1.549833408
25	-20	1.71240341764734	1.087266340	0.06356340828	1.473847423
30	-20	1.68239107711584	1.202283453	0.09422852682	1.389595702
35	-20	1.65309635741261	1.308651074	0.1276801144	1.297688221
40	-20	1.62456650257204	1.405884615	0.1636846386	1.198766603
45	-20	1.59685070981634	1.493509120	0.2019952293	1.093509120

-45	-15	2.11896890442211	-1.072146422	0.2055395551	1.472146422
-40	-15	2.08871220945392	-0.9151785615	0.1800248023	1.567368776
-35	-15	2.05654012732802	-0.7521560638	0.1591031659	1.645449386
-30	-15	2.02302656038672	-0.5853322291	0.1427057210	1.706645483
-25	-15	1.98867348266792	-0.4167125177	0.1307015535	1.751445646
-20	-15	1.95390987594342	-0.2480496253	0.1229160041	1.780501712
-15	-15	1.91909189963550	-0.08085305343	0.1191469466	1.794568026
-10	-15	1.88450934283285	0.08358915148	0.1191772070	1.794455093
-5	-15	1.85039412651943	0.2441831036	0.1227837541	1.780995276
0	-15	1.81692852094204	0.4000000000	0.1297442952	1.755018183
5	-15	1.78425131052918	0.5502471812	0.1398419721	1.717333140
10	-15	1.75246487842834	0.6942404617	0.1528676679	1.668720581
15	-15	1.72164627760286	0.8313805241	0.1686194759	1.609934033
20	-15	1.69184996447184	0.9611327058	0.1869028805	1.541699438
25	-15	1.66311360361346	1.083010917	0.2075290200	1.464721638
30	-15	1.63546478545984	1.196566982	0.2303119769	1.379694485
35	-15	1.60892408935143	1.301383650	0.2550665227	1.287309263
40	-15	1.58351374906513	1.397075291	0.2816045328	1.188268060
45	-15	1.55925077691524	1.483284161	0.3097348838	1.083284161

-45	-10	2.07813660691597	-1.058174100	0.3428845637	1.458174100
-40	-10	2.04511757619935	-0.9027456162	0.3262432343	1.552551768
-35	-10	2.01052295779850	-0.7413443943	0.3125854836	1.630008722
-30	-10	1.97492718480833	-0.5761480702	0.3018772639	1.690738053
-25	-10	1.93883834609864	-0.4091218987	0.2940431517	1.735167511
-20	-10	1.90269351932208	-0.2420062893	0.2889772296	1.763897783
-15	-10	1.86685972732996	-0.07631958503	0.2865525381	1.777648892
-10	-10	1.83163715432320	0.08662910112	0.2866291011	1.777214682
-5	-10	1.79726688625093	0.2457199455	0.2890598725	1.763429092
0	-10	1.76393837602554	0.4000000000	0.2936953155	1.737140189
5	-10	1.73179381524684	0.5486597490	0.3003871858	1.699188706
10	-10	1.70093451975263	0.6910092636	0.3089907364	1.650395546
15	-10	1.67143297393905	0.8264574616	0.3193648694	1.591560914
20	-10	1.64333476549482	0.9544935347	0.3313731685	1.523458466
25	-10	1.61666341468763	1.074670879	0.3448837114	1.446836370
30	-10	1.59142929323601	1.186596410	0.3597677227	1.362424947
35	-10	1.56762955076003	1.289920303	0.3758993562	1.270937907
40	-10	1.54525809219323	1.384333727	0.3931537715	1.173083255
45	-10	1.52430200389375	1.469562845	0.4114072128	1.069562845

-45	-5	2.03752269933608	-1.037997042	0.4741915606	1.437997042
-40	-5	2.00182461519445	-0.8838679102	0.4661376034	1.530054194
-35	-5	1.96494261964165	-0.7241615854	0.4595396517	1.605469127
-30	-5	1.92744918348633	-0.5609702184	0.4543795602	1.664449243
-25	-5	1.88985100298314	-0.3961865885	0.4506194369	1.707427649
-20	-5	1.85258239237344	-0.2314900044	0.4482067727	1.735004528
-15	-5	1.81600900861506	-0.06834833142	0.4470785853	1.747899769
-10	-5	1.78042830519453	0.09197306843	0.4471653943	1.746907537
-5	-5	1.74607699155634	0.2483940822	0.4483940822	1.732863570
0	-5	1.71313893601242	0.4000000000	0.4506901036	1.706619925
5	-5	1.68174834462203	0.5460204805	0.4539795195	1.669021729
10	-5	1.65199775783053	0.6858075210	0.4581900629	1.620894998
15	-5	1.62394646463708	0.8188154428	0.4632516746	1.563040511
20	-5	1.59762417337546	0.9445823627	0.4690970343	1.496227744
25	-5	1.57303836298262	1.062714704	0.4756614378	1.421196269
30	-5	1.55017871042601	1.172874111	0.4828826682	1.338657228
35	-5	1.52902117077451	1.274766951	0.4907007034	1.249296677
40	-5	1.50953418483443	1.368138010	0.4990571591	1.153781952
45	-5	1.49168046735088	1.452764762	0.5078950180	1.052764762

-45	0	1.99701631986659	-1.012103782	0.6000000000	1.412103782
-40	0	1.95878897824810	-0.8590852852	0.6000000000	1.500519412
-35	0	1.91982406016135	-0.7011658428	0.6000000000	1.572627804
-30	0	1.88068413846178	-0.5403420692	0.6000000000	1.628720240
-25	0	1.84186188495579	-0.3784044682	0.6000000000	1.669293769
-20	0	1.80377582995863	-0.2169276679	0.6000000000	1.694994837
-15	0	1.76677460789804	-0.05727491693	0.6000000000	1.706573223
-10	0	1.73113702496985	0.09939121032	0.6000000000	1.704837164
-5	0	1.69708059639779	0.2520896801	0.6000000000	1.690622692
0	0	1.66477064605598	0.4000000000	0.6000000000	1.664770646
5	0	1.63432384833582	0.5424407089	0.6000000000	1.628104753
10	0	1.60581494388876	0.6788468387	0.6000000000	1.581419007
15	0	1.57928555991137	0.8087491806	0.6000000000	1.525472709
20	0	1.55474793693055	0.9317551122	0.6000000000	1.460985164
25	0	1.53219435956267	1.047533317	0.6000000000	1.388639679
30	0	1.51159682621798	1.155798413	0.6000000000	1.309081252
35	0	1.49291619880615	1.256301553	0.6000000000	1.222925356
40	0	1.47610290127701	1.348820656	0.6000000000	1.130760425
45	0	1.46110441553003	1.433156840	0.6000000000	1.033156840

-45	5	1.95648475228873	-0.9808038987	0.7208046877	1.380803899
-40	5	1.91594119762023	-0.8287866793	0.7281193560	1.464410940
-35	5	1.87516230802671	-0.6727974506	0.7340425661	1.532113541
-30	5	1.83468779718443	-0.5147220836	0.7386122374	1.584345124
-25	5	1.79498002935751	-0.3562178308	0.7418816230	1.621714372
-20	5	1.75642482740527	-0.1987127625	0.7439144592	1.644949796
-15	5	1.71933485216272	-0.04341608734	0.7447807344	1.654851367
-10	5	1.68395443019486	0.1086637443	0.7445531452	1.652250011
-5	5	1.65046696758018	0.2566955749	0.7433044251	1.637977074
0	5	1.61900684532853	0.4000000000	0.7411057441	1.612846035
5	5	1.58966340630119	0.5380250590	0.7380250590	1.577633643
10	5	1.56248823425729	0.6703217282	0.7341263069	1.533070703
15	5	1.53750303241710	0.7965217003	0.7294691479	1.479839132
20	5	1.51470532525316	0.9163178040	0.7241089253	1.418571508
25	5	1.49407457411074	1.029447579	0.7180969827	1.349854689
30	5	1.47557269544388	1.135677717	0.7114807833	1.274231184
35	5	1.45915420625019	1.234795423	0.7043049838	1.192211420
40	5	1.44476226515015	1.326596614	0.6966115302	1.104274844
45	5	1.43233990102229	1.410884709	0.6884409522	1.010884709

-45	10	1.91578519666576	-0.9442563616	0.8370286655	1.344256362
-40	10	1.87320201216978	-0.7932349210	0.8507443730	1.422042004
-35	10	1.83093927072997	-0.6393973692	0.8617421120	1.484413281
-30	10	1.78949715117000	-0.4844954913	0.8701313704	1.531991130
-25	10	1.74928859714938	-0.3300184226	0.8760451004	1.565529559
-20	10	1.71064508014887	-0.1772053613	0.8796296758	1.585858697
-15	10	1.67382539240086	-0.02706787481	0.8810368199	1.593839007
-10	10	1.63902138145338	0.1195833234	0.8804166766	1.590322000
-5	10	1.60636950619329	0.2621068597	0.8779135046	1.576125806
0	10	1.57596258333249	0.4000000000	0.8736630307	1.552020171
5	10	1.54785538858912	0.5328702017	0.8677901404	1.518713355
10	10	1.52207280147666	0.6604081932	0.8604081932	1.476848252
15	10	1.49861753417916	0.7823644977	0.8516192596	1.427003733
20	10	1.47747480004456	0.8985291138	0.8415146217	1.369697483
25	10	1.45861707771914	1.008714503	0.8301759117	1.305392463
30	10	1.44200599805309	1.112740896	0.8176762652	1.234503445
35	10	1.42759882098851	1.210426912	0.8040825364	1.157409579
40	10	1.41534532145150	1.301578928	0.7894562748	1.074459927
45	10	1.40519530447801	1.385988790	0.7738564263	0.9859887897

-45	15	1.87476952296353	-0.9024897343	0.9490010724	1.302489734
-40	15	1.83048912089035	-0.7525858076	0.9680545491	1.373598277
-35	15	1.78713357030980	-0.6012237313	0.9831393917	1.429895676
-30	15	1.74514144571812	-0.4499859292	0.9944798426	1.472218815
-25	15	1.70485485037454	-0.3001532978	1.002321316	1.501483593
-20	15	1.66652808168291	-0.1527342444	1.006914304	1.518624855
-15	15	1.63034727228557	-0.008504389068	1.008504389	1.524559135
-10	15	1.59643783521013	0.1319566220	1.007322841	1.520149536
-5	15	1.56487715157147	0.2682257485	1.003581480	1.506186587
0	15	1.53570809937796	0.4000000000	0.9974705038	1.483380115
5	15	1.50894712182872	0.5270645286	0.9891571371	1.452354208
10	15	1.48459147177427	0.6492642709	0.9787858206	1.413647928
15	15	1.46262572367212	0.7664796070	0.9664796070	1.367720513
20	15	1.44302653895732	0.8786059068	0.9523421811	1.314958922
25	15	1.42576683053315	0.9855368556	0.9364605424	1.255687839
30	15	1.41081682942778	1.087150292	0.9189075603	1.190179218
35	15	1.39814652805985	1.183297626	0.8997453683	1.118664944
40	15	1.38772593224976	1.273795532	0.8790286139	1.041348964
45	15	1.37952434010517	1.358419832	0.8568078200	0.9584198319

-45	20	1.83329454672132	-0.8554237504	1.056936877	1.255423750
-40	20	1.78772796100550	-0.7069094729	1.080136190	1.319163341
-35	20	1.74373122330337	-0.5584699901	1.098215926	1.368837006
-30	20	1.70165247640292	-0.4114686546	1.111561962	1.405504939
-25	20	1.66173788823932	-0.2669319303	1.120564839	1.430240140
-20	20	1.62414722633832	-0.1255993420	1.125599342	1.444072324
-15	20	1.58897550027421	0.01202162371	1.127012525	1.447955013
-10	20	1.55626952183785	0.1456052416	1.125116006	1.442744368
-5	20	1.52604017927777	0.2749623419	1.120181517	1.429186972
0	20	1.49827636511478	0.4000000000	1.112440697	1.407919244
5	20	1.47295339634672	0.5206879385	1.102085818	1.379469449
10	20	1.45004112199404	0.6370301903	1.089272450	1.344265009
15	20	1.42950822645363	0.7490414298	1.074122313	1.302640350
20	20	1.41132778070020	0.8567276543	1.056727654	1.254848917
25	20	1.39547871073770	0.9600698623	1.037155074	1.201073696
30	20	1.38194723021529	1.059010506	1.015450067	1.141439679
35	20	1.37072684812369	1.153442119	0.9916417487	1.076026861
40	20	1.36181825710249	1.243198497	0.9657481698	1.004884838
45	20	1.35522535264618	1.328046231	0.9377812042	0.9280462312

-45	25	1.79122920969372	-0.8028873194	1.160915569	1.202887319
-40	25	1.74486156823052	-0.6562112940	1.186961782	1.258743604
-35	25	1.70073459570710	-0.5112830410	1.206874730	1.301447059
-30	25	1.65907357290049	-0.3691843855	1.221246042	1.332266436
-25	25	1.62000342305464	-0.2306375580	1.230637558	1.352406607
-20	25	1.58357132913314	-0.09607796726	1.235560091	1.362963013
-15	25	1.54977010503321	0.03427646162	1.236462776	1.364898827
-10	25	1.51856086404652	0.1603647066	1.233730425	1.359039283
-5	25	1.48988400793741	0.2822342546	1.227682110	1.346068629
0	25	1.46367332460392	0.4000000000	1.218575076	1.326538532
5	25	1.43986410313946	0.5138119937	1.206608927	1.300877041
10	25	1.41840035228847	0.6238295432	1.191931137	1.269400419
15	25	1.39923802776232	0.7302001251	1.174641952	1.232323644
20	25	1.38234939775433	0.8330421160	1.154800464	1.189773436
25	25	1.36772318975516	0.9324294999	1.132429500	1.141798747
30	25	1.35536780648048	1.028379459	1.107522330	1.088385149
35	25	1.34530740762579	1.120839000	1.080047311	1.029464781
40	25	1.33758214476359	1.209674185	1.049955237	0.9649321186
45	25	1.33224466508749	1.294659492	1.017186572	0.8946594915

-45	30	1.74846528183607	-0.7446392149	1.260857759	1.144639215
-40	30	1.70186164318278	-0.6004544848	1.288371970	1.192295227
-35	30	1.65816968557981	-0.4597815312	1.308925670	1.227895280
-30	30	1.61746217534064	-0.3233510750	1.323351075	1.252880814
-25	30	1.57971898379144	-0.1915314317	1.332393786	1.268543249
-20	30	1.54486139796023	-0.06442639630	1.336699542	1.276001037
-15	30	1.51277525529221	0.05804528565	1.336810007	1.276192368
-10	30	1.48333346254873	0.1760851976	1.333167839	1.269883948
-5	30	1.45640783023531	0.2899671387	1.326122672	1.257681360
0	30	1.43188009714691	0.4000000000	1.315940049	1.240044539
5	30	1.40964884737140	0.5065001800	1.302810000	1.217302628
10	30	1.38963538136471	0.6097707223	1.286855650	1.189668884
15	30	1.37178404435082	0.7100844090	1.268139043	1.157250769
20	30	1.35606861441762	0.8076702677	1.246669746	1.120064855
25	30	1.34248988544337	0.9027001462	1.222408960	1.078043942
30	30	1.33107979428640	0.9952769807	1.195276981	1.031049975
35	30	1.32189622246407	1.085419573	1.165156976	0.9788805973
40	30	1.31502617841969	1.173049821	1.131904086	0.9212849009
45	30	1.31058138488577	1.257976914	1.095353202	0.8579769144

-45	35	1.70493029394494	-0.6803926307	1.356499064	1.080392631
-40	35	1.65873950908858	-0.5395846674	1.384059774	1.119753403
-35	35	1.61610114787805	-0.4040795099	1.404079510	1.148344549
-30	35	1.57690438680864	-0.2741819063	1.417644467	1.167717315
-25	35	1.54096940087747	-0.1498655649	1.425678084	1.179190509
-20	35	1.50808510866402	-0.03088751775	1.428943303	1.183853725
-15	35	1.47803223469289	0.08312812165	1.428052796	1.182581949
-10	35	1.45060054527077	0.1926292497	1.423484653	1.176057966
-5	35	1.42560000658743	0.2980935772	1.415598760	1.164795743
0	35	1.40286684177041	0.4000000000	1.404651364	1.149161241
5	35	1.38226821164365	0.4988089283	1.390808245	1.129391219
10	35	1.36370578755622	0.5949487013	1.374155774	1.105609025
15	35	1.34711578097870	0.6888050056	1.354708160	1.077834955
20	35	1.33247237660823	0.7807117460	1.332414932	1.045996925
25	35	1.31978727222616	0.8709409373	1.307164870	1.009936099
30	35	1.30911339078577	0.9596918677	1.278791517	0.9694147514
35	35	1.30054352933094	1.047076085	1.247076085	0.9241204209
40	35	1.29421196094080	1.133099868	1.211753402	0.8736744012
45	35	1.29029346099474	1.217642546	1.172519474	0.8176425462

-45	40	1.66060717561310	-0.6098491039	1.447364011	1.009849104
-40	40	1.61556025262258	-0.4735596056	1.473559606	1.041067798
-35	40	1.57463419171778	-0.3443045283	1.491943633	1.062977029
-30	40	1.53751230714966	-0.2218956635	1.503840268	1.077154886
-25	40	1.50385079172389	-0.1058870899	1.510321036	1.084878365
-20	40	1.47330934525623	0.004308288773	1.512230555	1.087154042
-15	40	1.44557335800470	0.1093400642	1.510219743	1.084757648
-10	40	1.42036164325776	0.2098722469	1.504774339	1.078268070
-5	40	1.39743372939778	0.3065533381	1.496242512	1.068100234
0	40	1.37658958130456	0.4000000000	1.484854726	1.054528799
5	40	1.35767223661855	0.4907878033	1.470741524	1.037709340
10	40	1.34056803774547	0.5794466854	1.453945590	1.017692724
15	40	1.32520550681076	0.6664576968	1.434428920	0.9944336626
20	40	1.31155793122563	0.7522495828	1.412078756	0.9677977747
25	40	1.29964434656580	0.8371931710	1.386709423	0.9375637808
30	40	1.28953276967103	0.9215924670	1.358063294	0.9034246538
35	40	1.28134522202118	1.005671499	1.325811568	0.8649885439
40	40	1.27525780846792	1.089552560	1.289552560	0.8217767408
45	40	1.27150722948845	1.173229488	1.248816578	0.7732294881

-45	45	1.61555461303743	-0.5327408907	1.532740891	0.9327408907
-40	45	1.57245670079794	-0.4023831500	1.556243002	0.9562430017
-35	45	1.53392757670121	-0.2806230029	1.572030385	0.9720303849
-30	45	1.49943641606069	-0.1667336948	1.581611554	0.9816115538
-25	45	1.46848223797545	-0.05984877061	1.586148871	0.9861488710
-20	45	1.44061292910737	0.04093649148	1.586518882	0.9865188818
-15	45	1.41543584395835	0.1365070098	1.583369227	0.9833692268
-10	45	1.39261689451273	0.2276998253	1.577162848	0.9771628484
-5	45	1.37187968908567	0.3152922111	1.568214458	0.9682144576
0	45	1.35300102720922	0.4000000000	1.556716201	0.9567162013
5	45	1.33580792528684	0.4824805095	1.542756538	0.9427565377
10	45	1.32017593231380	0.5633374869	1.526332920	0.9263329201
15	45	1.30602705365100	0.6431258012	1.507357843	0.9073578428
20	45	1.29333144371239	0.7223545454	1.485661835	0.8856618345
25	45	1.28210886171757	0.8014867655	1.460991147	0.8609911470
30	45	1.27243371085411	0.8809347370	1.433003400	0.8330033995
35	45	1.26444353141710	0.9610495348	1.401261775	0.8012617748
40	45	1.25834600685625	1.042100754	1.365225880	0.7652258801
45	45	1.25442903820810	1.124244943	1.324244943	0.7242449429


### +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	1.83842029120844	1.461412450	-0.4614124500	1.061412450
45	-40	1.78159008138175	1.483421277	-0.3090983941	1.083421277
45	-35	1.72941218053218	1.495906491	-0.1673619860	1.095906491
45	-30	1.68151401771106	1.500809324	-0.03555255956	1.100809324
45	-25	1.63746997098682	1.499631389	0.08723346214	1.099631389
45	-20	1.59685074638267	1.493509145	0.2019952202	1.093509145
45	-15	1.55925080550436	1.483284181	0.3097348785	1.083284181
45	-10	1.52430201583786	1.469562854	0.4114072113	1.069562854
45	-5	1.49168047657391	1.452764769	0.5078950174	1.052764769
45	0	1.46110442045031	1.433156844	0.6000000000	1.033156844
45	5	1.43233990268491	1.410884710	0.6884409523	1.010884710
45	10	1.40519530759816	1.385988792	0.7738564267	0.9859887919
45	15	1.37952433968895	1.358419832	0.8568078199	0.9584198317
45	20	1.35522536091944	1.328046237	0.9377812062	0.9280462369
45	25	1.33224468269602	1.294659503	1.017186578	0.8946595033
45	30	1.31058141592366	1.257976935	1.095353214	0.8579769347
45	35	1.29029347488599	1.217642555	1.172519481	0.8176425551
45	40	1.27150726824787	1.173229512	1.248816598	0.7732295116
45	45	1.25442903331211	1.124244940	1.324244940	0.7242449401

50	-45	1.85250335417775	1.526545085	-0.5265450852	0.9452835655
50	-40	1.79303615340188	1.555433354	-0.3695237008	0.9695237008
50	-35	1.73775213431841	1.573091890	-0.2214077844	0.9843409722
50	-30	1.68649565453123	1.581530077	-0.08215670807	0.9914214519
50	-25	1.63901467245789	1.582385625	0.04864452813	0.9921393419
50	-20	1.59501217145492	1.576958481	0.1716221460	0.9875854271
50	-15	1.55418058899059	1.566256469	0.2875025209	0.9786053732
50	-10	1.51622164251803	1.551040224	0.3970405527	0.9658374271
50	-5	1.48086367109177	1.531868224	0.5009743618	0.9497502090
50	0	1.44786334689967	1.509127671	0.6000000000	0.9306686199
50	5	1.41701738180731	1.483068603	0.6947562245	0.9088024650
50	10	1.38815962866105	1.453821898	0.7858172335	0.8842615661
50	15	1.36116626567802	1.421418601	0.8736882893	0.8570719715
50	20	1.33595648606812	1.385801453	0.9588023858	0.8271856356
50	25	1.31249683987194	1.346835573	1.041516679	0.7944893800
50	30	1.29080448036594	1.304315593	1.122106851	0.7588108802
50	35	1.27095179759616	1.257972329	1.200758693	0.7199242650
50	40	1.25307138978780	1.207479802	1.277556004	0.6775560041
50	45	1.23736223292653	1.152465219	1.352465219	0.6313932877

55	-45	1.86467296414672	1.581619528	-0.5816195280	0.8273789008
55	-40	1.80318404651597	1.617262542	-0.4214045504	0.8523364082
55	-35	1.74536971736236	1.640198241	-0.2683961574	0.8683961574
55	-30	1.69126588460062	1.652403427	-0.1230754558	0.8769423205
55	-25	1.64078717119200	1.655573705	0.01451636595	0.8791621731
55	-20	1.59377523667003	1.651120869	0.1446292443	0.8760442635
55	-15	1.55003194307301	1.640189323	0.2676922724	0.8683899130
55	-10	1.50934497772892	1.623684350	0.3842314333	0.8568330059
55	-5	1.47150764127625	1.602304874	0.4948119534	0.8418629360
55	0	1.43632602364929	1.576569399	0.6000000000	0.8238427621
55	5	1.40363491357982	1.546849021	0.7003362881	0.8030323298
55	10	1.37329612092894	1.513384279	0.7963196884	0.7796000654
55	15	1.34520875720324	1.476309134	0.8883961633	0.7536397691
55	20	1.31930951161168	1.435664016	0.9769508746	0.7251797511
55	25	1.29557662223525	1.391409470	1.062301828	0.6941923843
55	30	1.27403216074261	1.343436664	1.144693412	0.6606014640
55	35	1.25474500840118	1.291577605	1.224289360	0.6242893600
55	40	1.23783350860985	1.235615403	1.301164577	0.5851042043
55	45	1.22346834259051	1.175296319	1.375296319	0.5428683270

60	-45	1.87497632227586	1.627460132	-0.6274601319	0.7086744376
60	-40	1.81196896662139	1.669434538	-0.4651820530	0.7329083725
60	-35	1.75213444533734	1.697477354	-0.3085034236	0.7490988993
60	-30	1.69566671263497	1.713457788	-0.1583252073	0.7583252073
60	-25	1.64262979767402	1.719061784	-0.01508861134	0.7615606759
60	-20	1.59299984853800	1.715761699	0.1211019060	0.7596553714
60	-15	1.54669112784448	1.704804138	0.2503787850	0.7533290202
60	-10	1.50358413024691	1.687220574	0.3730282826	0.7431771451
60	-5	1.46354593024768	1.663845468	0.4894278491	0.7296815212
60	0	1.42643890135679	1.635332326	0.6000000000	0.7132194507
60	5	1.39214093016610	1.602183662	0.7051774419	0.6940810607
60	10	1.36054390741866	1.564763630	0.8053792542	0.6724765955
60	15	1.33156787745209	1.523324008	0.9009937607	0.6485514182
60	20	1.30516044770368	1.478016505	0.9923659198	0.6223931192
60	25	1.28130364818600	1.428910274	1.079788740	0.5940416238
60	30	1.26001385607674	1.376002536	1.163495327	0.5634953270
60	35	1.24134372502746	1.319230471	1.243652105	0.5307179598
60	40	1.22538385058234	1.258483016	1.320352782	0.4956454002
60	45	1.21226352140963	1.193612764	1.393612764	0.4581925430

65	-45	1.88349316394613	1.664846526	-0.6648465259	0.5898076214
65	-40	1.81936882104654	1.712493156	-0.5013125234	0.6120256101
65	-35	1.75795556414487	1.745234056	-0.3419430265	0.6272929422
65	-30	1.69956947190294	1.764785384	-0.1879592088	0.6364098763
65	-25	1.64440447282701	1.772777022	-0.04013643816	0.6401364382
65	-20	1.59255768273669	1.770697472	0.1011069199	0.6391667284
65	-15	1.54405095466150	1.759861911	0.2356260992	0.6341140231
65	-10	1.49885820913940	1.741406350	0.3634738684	0.6255080536
65	-5	1.45692000144122	1.716286569	0.4848398472	0.6137945076
65	0	1.41815751651685	1.685287200	0.6000000000	0.5993392645
65	5	1.38249342778641	1.649044237	0.7092772109	0.5824388929
65	10	1.34984999422347	1.608051130	0.8130120083	0.5633234934
65	15	1.32016549054894	1.562683629	0.9115401393	0.5421682800
65	20	1.29339431184149	1.513210738	1.005175573	0.5190986925
65	25	1.26951412342647	1.459812136	1.094198515	0.4941985154
65	30	1.24852829198336	1.402591064	1.178846220	0.4675158909
65	35	1.23046517707486	1.341584471	1.259304545	0.4390680498
65	40	1.21538078330012	1.276776024	1.335702438	0.4088473743
65	45	1.20335870332578	1.208107035	1.408107035	0.3768264988

70	-45	1.89031058848148	1.694467827	-0.6944678271	0.4711477583
70	-40	1.82538447410815	1.746950058	-0.5302252972	0.4902497283
70	-35	1.76276975576208	1.783782341	-0.3689348265	0.5036555829
70	-30	1.70287570361759	1.806515281	-0.2120519762	0.5119296964
70	-25	1.64599957817942	1.816694344	-0.06061542179	0.5156345722
70	-20	1.59234133687210	1.815792865	0.08469353930	0.5153064607
70	-15	1.54201924880398	1.805166096	0.2234868793	0.5114386332
70	-10	1.49509296688050	1.786030458	0.3556054342	0.5044738305
70	-5	1.45157386171636	1.759446809	0.4810638155	0.4947981737
70	0	1.41143964849363	1.726319422	0.6000000000	0.4827407909
70	5	1.37465388187568	1.687408711	0.7126336675	0.4685784500
70	10	1.34116746403030	1.643333355	0.8192332165	0.4525363324
70	15	1.31093378250119	1.594589307	0.9200892401	0.4347949499
70	20	1.28391020728208	1.541558577	1.015493343	0.4154933427
70	25	1.26006611713206	1.484525515	1.105722553	0.3947350059
70	30	1.23938718821965	1.423690112	1.191027762	0.3725927298
70	35	1.22187441694196	1.359177020	1.271622980	0.3491118847
70	40	1.20754827833072	1.291049117	1.347678986	0.3243153559
70	45	1.19644804927785	1.219316950	1.419316950	0.2982069824

75	-45	1.89551463979620	1.716902333	-0.7169023334	0.3528629168
75	-40	1.83003142940736	1.773254826	-0.5522976176	0.3679625215
75	-35	1.76653984282666	1.813418518	-0.3896863012	0.3787243505
75	-30	1.70551386624255	1.838788592	-0.2306849808	0.3855222413
75	-25	1.64732842964962	1.850819469	-0.07652822901	0.3887459051
75	-20	1.59226471951529	1.850952316	0.07189654570	0.3887815013
75	-15	1.54052100303940	1.840561412	0.2140027331	0.3859972669
75	-10	1.49222954317702	1.820921002	0.3494532899	0.3807346349
75	-5	1.44746322764440	1.793176261	0.4781128709	0.3733004540
75	0	1.40625007310531	1.758333264	0.6000000000	0.3639643011
75	5	1.36858998678926	1.717261153	0.7152454178	0.3529590622
75	10	1.33445686272834	1.670687738	0.8240565322	0.3404797531
75	15	1.30381553869847	1.619215025	0.9266876813	0.3266876813
75	20	1.27662415530647	1.563324636	1.023415540	0.3117118966
75	25	1.25284252696302	1.503391587	1.114519947	0.2956528846
75	30	1.23243665075398	1.439695911	1.200268714	0.2785856798
75	35	1.21538277715668	1.372434633	1.280906061	0.2605630747
75	40	1.20166928875152	1.301732136	1.356643103	0.2416183976
75	45	1.19129685039817	1.227649425	1.427649425	0.2217679951

80	-45	1.89917671191572	1.732602622	-0.7326026223	0.2349737969
80	-40	1.83333095395942	1.791773875	-0.5678369454	0.2454072853
80	-35	1.76924415623139	1.834394666	-0.4043739576	0.2529224805
80	-30	1.70743292410240	1.861735825	-0.2439335721	0.2577434646
80	-25	1.64832504553413	1.875172014	-0.08788400705	0.2601126272
80	-20	1.59226008652134	1.876109530	0.06274006853	0.2602779366
80	-15	1.53949607706099	1.865928830	0.2072055539	0.2584828045
80	-10	1.49022042914486	1.845942292	0.3450413613	0.2549586387
80	-5	1.44455370308472	1.817356568	0.4759973682	0.2499182041
80	0	1.40256290412752	1.781254822	0.6000000000	0.2435524924
80	5	1.36427647240450	1.738590745	0.7171115153	0.2360296645
80	10	1.32968626451466	1.690177995	0.8274931904	0.2274931904
80	15	1.29876432961020	1.636700828	0.9313729883	0.2180637231
80	20	1.27146816362013	1.578718408	1.029018415	0.2078398579
80	25	1.24774885110699	1.516675494	1.120714335	0.1969000184
80	30	1.22755656550068	1.450912972	1.206744887	0.1853043114
80	35	1.21084639917363	1.381680007	1.287379741	0.1730966717
80	40	1.19758171300601	1.309144603	1.362862901	0.1603067228
80	45	1.18773400251360	1.233401882	1.433401882	0.1469512376

85	-45	1.90135172613545	1.741893349	-0.7418933489	0.1174004557
85	-40	1.83530228417680	1.802776216	-0.5770690051	0.1227270163
85	-35	1.77087075399637	1.846901449	-0.4131313018	0.1265874741
85	-30	1.70859814551693	1.875460372	-0.2518574430	0.1290860560
85	-25	1.64894303025230	1.889774018	-0.09469303341	0.1303383378
85	-20	1.59227742773000	1.891220341	0.05724018324	0.1304648746
85	-15	1.53889902622330	1.881182769	0.2031182732	0.1295867009
85	-10	1.48902984623557	1.860995342	0.3423871025	0.1278205299
85	-5	1.44281914465844	1.831900624	0.4747249281	0.1252750719
85	0	1.40035906053132	1.795030272	0.6000000000	0.1220493340
85	5	1.36169608557121	1.751391463	0.7182314330	0.1182314330
85	10	1.32683330495287	1.701852534	0.8295517266	0.1138973383
85	15	1.29574789105570	1.647150993	0.9341731015	0.1091115736
85	20	1.26839495431839	1.587893719	1.032357955	0.1039272339
85	25	1.24472012982967	1.524569906	1.124395559	0.09838711813
85	30	1.22466294568891	1.457558005	1.210581399	0.09252433643
85	35	1.20816472861358	1.387138837	1.291202055	0.08636345758
85	40	1.19517325697915	1.313506529	1.366522991	0.07992146530
85	45	1.18564179228985	1.236775655	1.436775655	0.07320838369

90	-45	1.90207210400461	1.744968083	-0.7449680830	0.000000000
90	-40	1.83595706518701	1.806424708	-0.5801304534	0.000000000
90	-35	1.77141274800444	1.851056374	-0.4160406113	0.000000000
90	-30	1.70898814849249	1.880027151	-0.2544940742	0.000000000
90	-25	1.64915258450619	1.894639829	-0.09696199861	0.000000000
90	-20	1.59228618426014	1.896259578	0.05540605104	0.000000000
90	-15	1.53870201072566	1.886272011	0.2017546149	0.000000000
90	-10	1.48863474442167	1.866019038	0.3415012894	0.000000000
90	-5	1.44224205402465	1.836753888	0.4743003226	0.000000000
90	0	1.39962505736858	1.799625057	0.6000000000	0.000000000
90	5	1.36083640797726	1.755658015	0.7186047079	0.000000000
90	10	1.32588310048026	1.705739957	0.8302371842	0.000000000
90	15	1.29474398307853	1.650626652	0.9351044014	0.000000000
90	20	1.26737308471080	1.590941135	1.033467124	0.000000000
90	25	1.24371429973297	1.527187955	1.125616375	0.000000000
90	30	1.22370345588233	1.459758279	1.211851728	0.000000000
90	35	1.20727698548355	1.388943411	1.292465631	0.000000000
90	40	1.19437735027877	1.314946132	1.367730962	0.000000000
90	45	1.18495161488303	1.237887322	1.437887322	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	1.25442907088679	1.124244962	1.324244962	0.7242449618
40	45	1.25834609906616	1.042100801	1.365225936	0.7652259361
35	45	1.26444358472394	0.9610495585	1.401261809	0.8012618086
30	45	1.27243376922633	0.8809347590	1.433003438	0.8330034378
25	45	1.28210888561311	0.8014867729	1.460991163	0.8609911631
20	45	1.29333145072582	0.7223545471	1.485661839	0.8856618394
15	45	1.30602706198359	0.6431258028	1.507357849	0.9073578486
10	45	1.32017593665754	0.5633374875	1.526332923	0.9263329231
5	45	1.33580792838052	0.4824805097	1.542756540	0.9427565399
0	45	1.35300103123078	0.4000000000	1.556716204	0.9567162041
-5	45	1.37187969720053	0.3152922106	1.568214463	0.9682144633
-10	45	1.39261691519868	0.2276998227	1.577162863	0.9771628629
-15	45	1.41543586970540	0.1365070050	1.583369245	0.9833692447
-20	45	1.44061297483667	0.04093648008	1.586518913	0.9865189131
-25	45	1.46848231013121	-0.05984879321	1.586148919	0.9861489194
-30	45	1.49943650104296	-0.1667337269	1.581611609	0.9816116094
-35	45	1.53392775327063	-0.2806230812	1.572030497	0.9720304968
-40	45	1.57245684492329	-0.4023832236	1.556243089	0.9562430893
-45	45	1.61555480481710	-0.5327410015	1.532741001	0.9327410015

45	50	1.23736225850655	1.152465235	1.352465235	0.6313933008
40	50	1.23935736956184	1.070140611	1.398642481	0.6701406111
35	50	1.24389353067194	0.9879686803	1.439706299	0.7045972456
30	50	1.25070264977248	0.9058863923	1.476220934	0.7352366629
25	50	1.25958283003569	0.8237166984	1.508663392	0.7624591171
20	50	1.27039286663750	0.7411937411	1.537422099	0.7865905378
15	50	1.28305001566205	0.6579815359	1.562800200	0.8078852923
10	50	1.29752427153789	0.5736849031	1.585016033	0.8265265901
5	50	1.31383565736781	0.4878564428	1.604203736	0.8426269849
0	50	1.33205260075918	0.4000000000	1.620411493	0.8562269072
-5	50	1.35228964454527	0.3095721317	1.633595265	0.8672894053
-10	50	1.37470895932734	0.2159832555	1.643610818	0.8756934521
-15	50	1.39951932842507	0.1186001001	1.650198724	0.8812213616
-20	50	1.42697683992283	0.01675196761	1.652965315	0.8835428075
-25	50	1.45738504057838	-0.09025626814	1.651357960	0.8821940763
-30	50	1.49108941462079	-0.2031184508	1.644631800	0.8765501580
-35	50	1.52847357513471	-0.3224851393	1.631815712	0.8657961831
-40	50	1.56993751889267	-0.4488906543	1.611668487	0.8488906543
-45	50	1.61587231217908	-0.5826449207	1.582644921	0.8245369906

45	55	1.22346838283357	1.175296345	1.375296345	0.5428683448
40	55	1.22366905302612	1.093141192	1.426053505	0.5784088915
35	55	1.22668869162472	1.010330141	1.471641775	0.6103301413
30	55	1.23229561441522	0.9268495753	1.512530232	0.6389605475
25	55	1.24031061835772	0.8425812079	1.549118463	0.6645799027
20	55	1.25060356044217	0.7573203268	1.581729529	0.6874144169
15	55	1.26309586387049	0.6707921719	1.610610144	0.7076368408
10	55	1.27775732453686	0.5826619299	1.635927282	0.7253640920
5	55	1.29460333855419	0.4925423643	1.657764065	0.7406543718
0	55	1.31369518705433	0.4000000000	1.676116098	0.7535046038
-5	55	1.33513691071267	0.3045601670	1.690882283	0.7638439979
-10	55	1.35907645582386	0.2057130853	1.701855847	0.7715277701
-15	55	1.38570115998536	0.1029227651	1.708707334	0.7763252333
-20	55	1.41523779816893	-0.004359341779	1.710968161	0.7779082810
-25	55	1.44794820937973	-0.1166727254	1.708008235	0.7758357187
-30	55	1.48411948351472	-0.2345131074	1.699008940	0.7695343445
-35	55	1.52405527627482	-0.3582827481	1.682939995	0.7582827481
-40	55	1.56804991499656	-0.4882140021	1.658532228	0.7411922455
-45	55	1.61635914612198	-0.6242662215	1.624266221	0.7171989294

45	60	1.21226354496976	1.193612780	1.393612780	0.4581925519
40	60	1.21085556742450	1.111812202	1.448304748	0.4897689749
35	60	1.21247230350880	1.028681915	1.497850824	0.5183744150
30	60	1.21692776541467	0.9442266414	1.542628194	0.5442266414
25	60	1.22407446323110	0.8583590672	1.582954192	0.5675088671
20	60	1.23380490250452	0.7709145464	1.619079341	0.5883657317
15	60	1.24605423413311	0.6816638613	1.651183841	0.6069012736
10	60	1.26079948491531	0.5903224559	1.679372284	0.6231758789
5	60	1.27805728523270	0.4965583246	1.703666700	0.6372022666
0	60	1.29788435617961	0.4000000000	1.724000824	0.6489421781
-5	60	1.32037443871425	0.3002445781	1.740209689	0.6583003711
-10	60	1.34565867092211	0.1968677286	1.752020358	0.6651192635
-15	60	1.37389974660482	0.08943734784	1.759035597	0.6691695138
-20	60	1.40528908176094	-0.02246724843	1.760719226	0.6701415573
-25	60	1.44003967636667	-0.1392280148	1.756378209	0.6676352705
-30	60	1.47837491653565	-0.2611493619	1.745144286	0.6611493619
-35	60	1.52051292408482	-0.3884047944	1.725958736	0.6500725791
-40	60	1.56664626541463	-0.5209669239	1.697565640	0.6336798178
-45	60	1.61691071771014	-0.6585165366	1.658516537	0.6111348073

45	65	1.20335871477890	1.208107042	1.408107042	0.3768265024
40	65	1.20056320965350	1.126732965	1.466086622	0.4038628245
35	65	1.20093962142260	1.043484241	1.518990736	0.4285324180
30	65	1.20434839466655	0.9583634114	1.567113798	0.4509725701
25	65	1.21067855617211	0.8712949104	1.610695197	0.4712949104
20	65	1.21985126921946	0.7821370890	1.649913023	0.4895824831
15	65	1.23182152662316	0.6906922297	1.684878171	0.5058869991
10	65	1.24657960972050	0.5967155072	1.715629079	0.5202263834
5	65	1.26414641636517	0.4999226411	1.742121014	0.5325797754
0	65	1.28457778709526	0.4000000000	1.764222851	0.5428860315
-5	65	1.30795821934672	0.2966143177	1.781703756	0.5510375109
-10	65	1.33440140827551	0.1894258435	1.794225385	0.5568764427
-15	65	1.36404319903628	0.07810535018	1.801327188	0.5601880676
-20	65	1.39703700809076	-0.03764323489	1.802414906	0.5606952788
-25	65	1.43354451315301	-0.1580525313	1.796747515	0.5580525313
-30	65	1.47372446045498	-0.2832523054	1.783427707	0.5518414028
-35	65	1.51771367570196	-0.4132172634	1.761394614	0.5415672026
-40	65	1.56561275919381	-0.5477072040	1.729433465	0.5266634742
-45	65	1.61745451375792	-0.6861901502	1.686190150	0.5064987852

45	70	1.19644806163638	1.219316959	1.419316959	0.2982069854
40	70	1.19250602609245	1.138365258	1.479949449	0.3202754069
35	70	1.19183722089427	1.055112551	1.535597683	0.3405297080
30	70	1.19434465712284	0.9695482865	1.586486569	0.3590517478
25	70	1.19995364737664	0.8815966513	1.632787352	0.3759038543
20	70	1.20861540738365	0.7911267726	1.674611976	0.3911267726
15	70	1.22030762148829	0.6979611514	1.712006156	0.4047371410
10	70	1.23503496859834	0.6018843253	1.744942904	0.4167251369
5	70	1.25282677244927	0.5026516391	1.773313604	0.4270512271
0	70	1.27374010080564	0.4000000000	1.796924174	0.4356447718
-5	70	1.29785143746265	0.2936592191	1.815480688	0.4423987906
-10	70	1.32525793745647	0.1833674257	1.828584380	0.4471681446
-15	70	1.35606886796052	0.06889017645	1.835718684	0.4497648190
-20	70	1.39040037790363	-0.04995522072	1.836241809	0.4499552207
-25	70	1.42836488905298	-0.1732685999	1.829378480	0.4474571733
-30	70	1.47006100716668	-0.3010294077	1.814218552	0.4419394107
-35	70	1.51555360535144	-0.4330484823	1.789716530	0.4330214040
-40	70	1.56486413700885	-0.5689186357	1.754712265	0.4202808936
-45	70	1.61794328871917	-0.7079531301	1.707953130	0.4032619603

45	75	1.19129685278803	1.227649427	1.427649427	0.2217679955
40	75	1.18645928247786	1.147065970	1.490318553	0.2385601374
35	75	1.18496172307042	1.063862969	1.548094576	0.2540411759
30	75	1.18674274462199	0.9780131100	1.601148074	0.2682568179
25	75	1.19175956829082	0.8894342717	1.649595183	0.2812381816
20	75	1.19999074070949	0.7979986792	1.693492384	0.2930004012
15	75	1.21143500537721	0.7035405555	1.732828775	0.3035405555
10	75	1.22611274265710	0.6058654550	1.767521012	0.3128363124
5	75	1.24406204723861	0.5047592426	1.797403622	0.3208433335
0	75	1.26534227913423	0.4000000000	1.822226787	0.3274946804
-5	75	1.29002386508609	0.2913704318	1.841641646	0.3326968764
-10	75	1.31818939253127	0.1786747910	1.855197634	0.3363291924
-15	75	1.34992431931994	0.06175917320	1.862331951	0.3382408268
-20	75	1.38531164498932	-0.05946371608	1.862366185	0.3382499998
-25	75	1.42442071776772	-0.1849840312	1.854502303	0.3361428791
-30	75	1.46729887614668	-0.3146603513	1.837828039	0.3316750233
-35	75	1.51395237718583	-0.4481766966	1.811321859	0.3245727138
-40	75	1.56433869060290	-0.5850015237	1.773879105	0.3145399581
-45	75	1.61834619060294	-0.7243404983	1.724340498	0.3012661285

45	80	1.18773400379466	1.233401883	1.433401883	0.1469512378
40	80	1.18225571671467	1.153100198	1.497509867	0.1582552050
35	80	1.18015870584096	1.069958788	1.556800307	0.1687097093
30	80	1.18140800128095	0.9839350177	1.611405119	0.1783380109
25	80	1.18598551076335	0.8949390702	1.661400261	0.1871535034
20	80	1.19389180623314	0.8028426232	1.706801011	0.1951588805
15	80	1.20514190581988	0.7074857120	1.747552300	0.2023444322
10	80	1.21977012628399	0.6086878725	1.783527737	0.2086878725
5	80	1.23782248487556	0.5062565175	1.814517553	0.2141522131
0	80	1.25936069671472	0.4000000000	1.840228178	0.2186856900
-5	80	1.28445087979967	0.2897408319	1.860268058	0.2222192616
-10	80	1.31316413540173	0.1753335454	1.874146779	0.2246664546
-15	80	1.34556690960168	0.05668557598	1.881266873	0.2259219193
-20	80	1.38171629152340	-0.06621830591	1.880924268	0.2258615087
-25	80	1.42164862794743	-0.1932867170	1.872307470	0.2243421348
-30	80	1.46537214129706	-0.3242900897	1.854507235	0.2212034730
-35	80	1.51284951762557	-0.4588224818	1.826525616	0.2162695586
-40	80	1.56399178162252	-0.5962671393	1.787304942	0.2093538957
-45	80	1.61864417218864	-0.7357602770	1.735760277	0.2002651805

45	85	1.18564179258343	1.236775655	1.436775655	0.07320838371
40	85	1.17977914542063	1.156649995	1.501740350	0.07889205810
35	85	1.17731995856885	1.073555481	1.561936917	0.08415857531
30	85	1.17824554981413	0.9874390324	1.617474250	0.08901746234
25	85	1.18255323934653	0.8982048997	1.668403855	0.09347322540
20	85	1.19025781532827	0.8057233385	1.714715711	0.09752498777
15	85	1.20138487420614	0.7098368998	1.756327052	0.1011655084
10	85	1.21597775646200	0.6103729176	1.793084103	0.1043813336
5	85	1.23408810616149	0.5071516668	1.824749156	0.1071516668
0	85	1.25577945106683	0.4000000000	1.851000831	0.1094483908
-5	85	1.28111539675585	0.2887651138	1.871420568	0.1112348862
-10	85	1.31016001527969	0.1733328727	1.885493158	0.1124660784
-15	85	1.34296693941642	0.05364911614	1.892599096	0.1130877674
-20	85	1.37957583847419	-0.07025619798	1.892018285	0.1130369530
-25	85	1.42000396007855	-0.1982419285	1.882933956	0.1122421772
-30	85	1.46423537188692	-0.3300252568	1.864440836	0.1106242388
-35	85	1.51220480327051	-0.4651461534	1.835556755	0.1080972092
-40	85	1.56379559616667	-0.6029385036	1.795255565	0.1045713119
-45	85	1.61882764890522	-0.7424998464	1.742499846	0.09995578464

45	90	1.18495161504027	1.237887322	1.437887322	0.000000000
40	90	1.17896081490624	1.157821404	1.503136381	0.000000000
35	90	1.17638039164252	1.074744073	1.563634403	0.000000000
30	90	1.17719720534339	0.9885986027	1.619482685	0.000000000
25	90	1.18141380119529	0.8992870471	1.670724528	0.000000000
20	90	1.18904990719678	0.8066790197	1.717341424	0.000000000
15	90	1.20013482360644	0.7106177490	1.759241221	0.000000000
10	90	1.21471497615781	0.6109330420	1.796260726	0.000000000
5	90	1.23284400557528	0.5074494350	1.828152662	0.000000000
0	90	1.25458611116918	0.4000000000	1.854586111	0.000000000
-5	90	1.28000409205952	0.2884402926	1.875133290	0.000000000
-10	90	1.30915990292363	0.1726667686	1.889270822	0.000000000
-15	90	1.34210236177633	0.05263834830	1.896371333	0.000000000
-20	90	1.37886435375825	-0.07159938390	1.895708658	0.000000000
-25	90	1.41945777181208	-0.1998887761	1.886465632	0.000000000
-30	90	1.46385876506861	-0.3319293825	1.867738878	0.000000000
-35	90	1.51199179805667	-0.4672428673	1.838551172	0.000000000
-40	90	1.56373124306004	-0.6051470679	1.797887629	0.000000000
-45	90	1.61888861321690	-0.7447271164	1.744727116	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	1.61888860500844	-0.7447271106	1.744727111	1.401886392e-16
-90	40	1.67719767064341	-0.8848079556	1.678081882	1.573435950e-16
-90	35	1.73831246469164	-1.023942209	1.597055069	1.743826269e-16
-90	30	1.80181106101492	-1.160414152	1.500905531	1.910956196e-16
-90	25	1.86718549147547	-1.292244751	1.389106687	2.072402117e-16
-90	20	1.93385897720600	-1.417233011	1.261418725	2.225468590e-16
-90	15	2.00118061344054	-1.532992038	1.117943655	2.367232512e-16
-90	10	2.06845545253358	-1.637030966	0.9591835199	2.494643453e-16
-90	5	2.13494606936724	-1.726821955	0.7860728104	2.604605700e-16
-90	-2.84217e-14	2.19989330912459	-1.799893309	0.6000000000	2.694092299e-16
-90	-5	2.26254196091849	-1.853932306	0.4028064749	2.760270984e-16
-90	-10	2.32214986364320	-1.886871189	0.1967629079	2.800609482e-16
-90	-15	2.37798889466070	-1.896960888	-0.01546881498	2.812965799e-16
-90	-20	2.42936770048177	-1.882858901	-0.2308926891	2.795695846e-16
-90	-25	2.47564957662078	-1.843700489	-0.4462547208	2.747740622e-16
-90	-30	2.51624317587167	-1.779130512	-0.6581215879	2.668665207e-16
-90	-35	2.55062627655450	-1.689350729	-0.8629791302	2.558716682e-16
-90	-40	2.57833927333688	-1.575122473	-1.057324538	2.418827414e-16
-90	-45	2.59900816882645	-1.437776301	-1.237776301	2.250626864e-16

-85	45	1.61882763661009	-0.7424998377	1.742499838	0.09995578388
-85	40	1.67697610143041	-0.8817627970	1.675526690	0.1121397141
-85	35	1.73787346921511	-1.019940803	1.594253254	0.1242287232
-85	30	1.80109712760536	-1.155337892	1.497974751	0.1360744335
-85	25	1.86614586411300	-1.286010718	1.386199709	0.1475068244
-85	20	1.93244985713415	-1.409803043	1.258714438	0.1583372495
-85	15	1.99937416450009	-1.524387832	1.115638166	0.1683621195
-85	10	2.06624209718306	-1.627340209	0.9574747780	0.1773692854
-85	5	2.13233608888646	-1.716199655	0.7851434796	0.1851434796
-85	-2.84217e-14	2.19691995862016	-1.788560015	0.6000000000	0.1914741908
-85	-5	2.25925753079131	-1.842160620	0.4038363639	0.1961636361
-85	-10	2.31862436082977	-1.874970781	0.1988612711	0.1990341532
-85	-15	2.37431041828357	-1.885262138	-0.01233414449	0.1999345303
-85	-20	2.42563679294829	-1.871688879	-0.2268271335	0.1987470240
-85	-25	2.47196562440567	-1.833351967	-0.4414291256	0.1953929788
-85	-30	2.51270728330797	-1.769849027	-0.6527629197	0.1898371914
-85	-35	2.54733062967696	-1.681313033	-0.8573510750	0.1820912956
-85	-40	2.57536353643301	-1.568427080	-1.051706436	0.1722150544
-85	-45	2.59641198787352	-1.432437381	-1.232437381	0.1603174975

-80	45	1.61864414640614	-0.7357602589	1.735760259	0.2002651773
-80	40	1.67631039778960	-0.8725716617	1.667814412	0.2243887188
-80	35	1.73655667174240	-1.007893658	1.585817752	0.2482496378
-80	30	1.79896084621001	-1.140093013	1.489173116	0.2715599510
-80	25	1.86303893028863	-1.267330663	1.377489057	0.2939953816
-80	20	1.92824646134384	-1.387586715	1.250628356	0.3151997683
-80	15	1.99399340990720	-1.498707291	1.108757085	0.3347933239
-80	10	2.05965506932869	-1.598457620	0.9523819982	0.3523819982
-80	5	2.12457336230939	-1.684573250	0.7823765277	0.3675665073
-80	-2.84217e-14	2.18807810930976	-1.754836286	0.6000000000	0.3799557763
-80	-5	2.24948983264317	-1.807137873	0.4069004573	0.3891779572
-80	-10	2.30813733445621	-1.839556862	0.2051057004	0.3948942996
-80	-15	2.36335830705610	-1.850421504	-0.002998624699	0.3968100292
-80	-20	2.41450560416996	-1.838374725	-0.2147017729	0.3946858569
-80	-25	2.46095617833665	-1.802437978	-0.4270136959	0.3883492389
-80	-30	2.50211761226440	-1.742066550	-0.6367226991	0.3777041272
-80	-35	2.53743711333018	-1.657198407	-0.8404658321	0.3627395838
-80	-40	2.56640743345881	-1.548289157	-1.034808713	0.3435359446
-80	-45	2.58857826972102	-1.416337663	-1.216337663	0.3202693360

-75	45	1.61834614231566	-0.7243404648	1.724340465	0.3012661196
-75	40	1.67520656194781	-0.8570743092	1.654810589	0.3368320460
-75	35	1.73437112301658	-0.9876801437	1.571664097	0.3718277738
-75	30	1.79542248903442	-1.114636407	1.474475737	0.4058456021
-75	25	1.85790571638619	-1.236277100	1.363008542	0.4384391274
-75	20	1.92132356814817	-1.350807417	1.237241786	0.4691274335
-75	15	1.98515535908778	-1.456344834	1.097406099	0.4974060993
-75	10	2.04885457478903	-1.550946829	0.9440045638	0.5227546272
-75	5	2.11186156674012	-1.632656405	0.7778343923	0.5446486423
-75	-2.84217e-14	2.17360000727076	-1.699536383	0.6000000000	0.5625690783
-75	-5	2.23348921107417	-1.749722417	0.4119236588	0.5760163855
-75	-10	2.29093960084216	-1.781463440	0.2153491381	0.5845213671
-75	-15	2.34536170213751	-1.793178514	0.01233958828	0.5876604117
-75	-20	2.39616255489902	-1.783504769	-0.1947307422	0.5850683395
-75	-25	2.44274860699231	-1.751354383	-0.4031930241	0.5764536695
-75	-30	2.48453016747945	-1.695974552	-0.6101114716	0.5616146885
-75	-35	2.52093115342822	-1.617011272	-0.8123264974	0.5404565415
-75	-40	2.55138973539255	-1.514561799	-1.006508100	0.5130052879
-75	-45	2.57537498178464	-1.389232988	-1.189232988	0.4794235342

-70	45	1.61794320249859	-0.7079530710	1.707953071	0.4032619388
-70	40	1.67367170344122	-0.8350013001	1.636289135	0.4495037125
-70	35	1.73133199010216	-0.9591035509	1.551654552	0.4946732378
-70	30	1.79052000836377	-1.078906386	1.453847000	0.5382779038
-70	25	1.85082284160067	-1.192983550	1.342820429	0.5797985958
-70	20	1.91181073424119	-1.299841569	1.218691734	0.6186917341
-70	15	1.97305188038627	-1.397944877	1.081757878	0.6543984180
-70	10	2.03410454152521	-1.485722769	0.9325038023	0.6863469579
-70	5	2.09452745836929	-1.561594064	0.7716172430	0.7139618509
-70	-2.84217e-14	2.15386768381044	-1.623973569	0.6000000000	0.7366661339
-70	-5	2.21166209240836	-1.671294513	0.4187852113	0.7538895491
-70	-10	2.26743566250032	-1.702033090	0.2293548518	0.7650774763
-70	-15	2.32069265582514	-1.714732772	0.03335906166	0.7696997823
-70	-20	2.37091518095099	-1.708043495	-0.1672650846	0.7672650846
-70	-25	2.41755793012245	-1.680766417	-0.3702773153	0.7573370404
-70	-30	2.46005219966587	-1.631916366	-0.5731274608	0.7395570757
-70	-35	2.49780132373323	-1.560785492	-0.7729567826	0.7136675550
-70	-40	2.53018844981881	-1.467024470	-0.9666195441	0.6795413337
-70	-45	2.55659108493736	-1.350730767	-1.150730767	0.6372138874

-65	45	1.61745434997892	-0.6861900402	1.686190040	0.5064987339
-65	40	1.67172121389770	-0.8059801329	1.611937485	0.5623577715
-65	35	1.72746442327147	-0.9219014290	1.525605345	0.6164127597
-65	30	1.78430878092983	-1.032832600	1.427246287	0.6681408141
-65	25	1.84189756584525	-1.137647639	1.317016869	0.7170168695
-65	20	1.89988758162423	-1.235213050	1.195168877	0.7625123680
-65	15	1.95794813013675	-1.324385505	1.062047704	0.8040941667
-65	10	2.01576117736629	-1.404009763	0.9180955947	0.8412235679
-65	5	2.07301385714687	-1.472910177	0.7638584083	0.8733523586
-65	-2.84217e-14	2.12938849244289	-1.529881372	0.6000000000	0.8999184632
-65	-5	2.18455943558622	-1.573688495	0.4273246314	0.9203460600
-65	-10	2.23817722497268	-1.603061479	0.2468062172	0.9340429075
-65	-15	2.28986252683020	-1.616706004	0.05962525474	0.9404054541
-65	-20	2.33919462299990	-1.613319952	-0.1327885345	0.9388265119
-65	-25	2.38570111647057	-1.591624158	-0.3287095970	0.9287095970
-65	-30	2.42885222450417	-1.550412778	-0.5260713427	0.9094924152
-65	-35	2.46805615140051	-1.488621791	-0.7224272151	0.8806788046
-65	-40	2.50265730898547	-1.405417655	-0.9149252885	0.8418800787
-65	-45	2.53194436075818	-1.300309345	-1.100309345	0.7928672690

-60	45	1.61691047820925	-0.6585163798	1.658516380	0.6111347168
-60	40	1.66938166155479	-0.7695403056	1.581360839	0.6752344103
-60	35	1.72280999102170	-0.8757622303	1.493298331	0.7365616671
-60	30	1.77686980054130	-0.9763574292	1.394640332	0.7946403322
-60	25	1.83127573985519	-1.070547927	1.285727760	0.8490212416
-60	20	1.88578130498004	-1.157588858	1.166915981	0.8992743464
-60	15	1.94017222276601	-1.236748733	1.038565501	0.9449773218
-60	10	1.99425340770847	-1.307283261	0.9010401026	0.9857004503
-60	5	2.04784911044589	-1.368420631	0.7547167576	1.020998127
-60	-2.84217e-14	2.10077610215456	-1.419325472	0.6000000000	1.050388051
-60	-5	2.15284397208701	-1.459088971	0.4373507906	1.073345518
-60	-10	2.20383937944811	-1.486710118	0.2673221014	1.089292595
-60	-15	2.25351092681860	-1.501084405	0.09060596901	1.097591593
-60	-20	2.30155492663859	-1.501003208	-0.09190858279	1.097544714
-60	-25	2.34759637441966	-1.485162844	-0.2790658711	1.088399275
-60	-30	2.39117686927222	-1.452197639	-0.4693668052	1.069366805
-60	-35	2.43174534075047	-1.400737676	-0.6608900951	1.039656382
-60	-40	2.46864148446840	-1.329488099	-0.8512128260	0.9985204195
-60	-45	2.50109697953136	-1.237352318	-1.037352318	0.9453258018

-55	45	1.61635881896426	-0.6242660142	1.624266014	0.7171987842
-55	40	1.66669754900596	-0.7251255799	1.544092459	0.7878214125
-55	35	1.71743446978267	-0.8203484384	1.454497176	0.8544971758
-55	30	1.76831279232902	-0.9094576207	1.356015710	0.9168920970
-55	25	1.81913816553000	-0.9920525993	1.249124788	0.9747257236
-55	20	1.86976786148125	-1.067776345	1.134226900	1.027748061
-55	15	1.92010311922607	-1.136285364	1.011646423	1.075718593
-55	10	1.97007281023241	-1.197214223	0.8816319614	1.118381439
-55	5	2.01962343103727	-1.250146439	0.7443691066	1.155444976
-55	-2.84217e-14	2.06870262397433	-1.294581983	0.6000000000	1.186559079
-55	-5	2.11724915540424	-1.329912171	0.4486522961	1.211297543
-55	-10	2.16518077544281	-1.355395796	0.2904763593	1.229141369
-55	-15	2.21237527967205	-1.370133973	0.1256940315	1.239461151
-55	-20	2.25865535814341	-1.373054813	-0.04533917558	1.241506346
-55	-25	2.30376942628487	-1.362905248	-0.2220562175	1.234399543
-55	-30	2.34736921681197	-1.338256107	-0.4035826311	1.217140029
-55	-35	2.38898829930143	-1.297530934	-0.5886239567	1.188623957
-55	-40	2.42801610505151	-1.239063446	-0.7753375331	1.147684581
-55	-45	2.46367997899763	-1.161202650	-0.9612026505	1.093165865

-50	45	1.61587181164164	-0.5826446163	1.582644616	0.8245367351
-50	40	1.66373732499270	-0.6721131268	1.499609729	0.8996097293
-50	35	1.71143118913593	-0.7553235980	1.408966292	0.9694316050
-50	30	1.75878385220368	-0.8321739549	1.311395965	1.033916711
-50	25	1.80570372156531	-0.9026351499	1.207428746	1.093040674
-50	20	1.85215794818287	-0.9667061881	1.097440371	1.146802658
-50	15	1.89815702349722	-1.024376243	0.9816604640	1.195193580
-50	10	1.94373911352497	-1.075590271	0.8601863772	1.238167252
-50	5	1.98895977679726	-1.120221215	0.7330021224	1.275617061
-50	-2.84217e-14	2.03388013290941	-1.158042574	0.6000000000	1.307352949
-50	-5	2.07855094615434	-1.188698415	0.4610068989	1.333076254
-50	-10	2.12300706972169	-1.211681606	0.3158170485	1.352361441
-50	-15	2.16725049636025	-1.226303873	0.1642331905	1.364630980
-50	-20	2.21123614586892	-1.231669765	0.006120773412	1.369133498
-50	-25	2.25485075655615	-1.226649942	-0.1585193249	1.364921366
-50	-30	2.29788550539080	-1.209859374	-0.3294527428	1.350832407
-50	-35	2.34000752988943	-1.179652127	-0.5060843274	1.325485517
-50	-40	2.38072210918872	-1.134138464	-0.6872950194	1.287295019
-50	-45	2.41933491476322	-1.071246922	-0.8712469219	1.234522750

-45	45	1.61555447204308	-0.5327408093	1.532740809	0.9327408093
-45	40	1.66060683996538	-0.6098488998	1.447363839	1.009848900
-45	35	1.70493000748280	-0.6803924492	1.356498937	1.080392449
-45	30	1.74846504162865	-0.7446390576	1.260857668	1.144639058
-45	25	1.79122903696973	-0.8028872034	1.160915515	1.202887203
-45	20	1.83329439616910	-0.8554236473	1.056936839	1.255423647
-45	15	1.87476943722593	-0.9024896747	0.9490010565	1.302489675
-45	10	1.91578516807300	-0.9442563416	0.8370286620	1.344256342
-45	5	1.95648472440208	-0.9808038790	0.7208046860	1.380803879
-45	-2.84217e-14	1.99701629724490	-1.012103766	0.6000000000	1.412103766
-45	-5	2.03752268651696	-1.037997033	0.4741915614	1.437997033
-45	-10	2.07813660364081	-1.058174097	0.3428845641	1.458174097
-45	-15	2.11896892328094	-1.072146435	0.2055395516	1.472146435
-45	-20	2.16009895084989	-1.079216491	0.06160922731	1.479216491
-45	-25	2.20155727652860	-1.078440233	-0.08940800295	1.478440233
-45	-30	2.24329260358431	-1.068579737	-0.2478849067	1.468579737
-45	-35	2.28514831790123	-1.048069409	-0.4139491159	1.448069409
-45	-40	2.32681405026112	-1.014983097	-0.5873117945	1.414983097
-45	-45	2.36776251898339	-0.9670283277	-0.7670283277	1.367028328


### -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	2.59900817849159	-1.437776307	-1.237776307	2.250626872e-16
-40	-90	2.61234340931067	-1.279181976	-1.401171152	2.450727846e-16
-35	-90	2.61815395792072	-1.101711417	-1.544666167	2.626458557e-16
-30	-90	2.61635613791366	-0.9081780690	-1.665830881	2.774842536e-16
-25	-90	2.60697416141553	-0.7017548885	-1.762720983	2.893498689e-16
-20	-90	2.59013385625636	-0.4858779527	-1.833929672	2.980704182e-16
-15	-90	2.56607409405604	-0.2641488467	-1.878637240	3.035455162e-16
-10	-90	2.53512543069179	-0.04021991120	-1.896611179	3.057466889e-16
-5	-90	2.49769303102990	0.1823117087	-1.888188555	3.047152150e-16
-2.84217e-14	-90	2.45428735144919	0.4000000000	-1.854287351	3.005635149e-16
5	-90	2.40546617165522	0.6096501908	-1.796312647	2.934636612e-16
10	-90	2.35185577970834	0.8083954703	-1.716125806	2.836436055e-16
15	-90	2.29412634445798	0.9937635898	-1.615955885	2.713763281e-16
20	-90	2.23298286980260	1.163725121	-1.498317525	2.569697841e-16
25	-90	2.16916139651909	1.316727219	-1.365927865	2.407567267e-16
30	-90	2.10341640287101	1.451708201	-1.221612040	2.230831354e-16
35	-90	2.03649525526437	1.568085691	-1.068199252	2.042954874e-16
40	-90	1.96914045827297	1.665739088	-0.9084491058	1.847317369e-16
45	-90	1.90207209978327	1.744968080	-0.7449680801	1.647110854e-16

-45	-85	2.59641200300392	-1.432437392	-1.232437392	0.1603174984
-40	-85	2.60925295803784	-1.273441378	-1.394329774	0.1744812466
-35	-85	2.61459989284010	-1.095836434	-1.536275821	0.1868999165
-30	-85	2.61239525901408	-0.9024644510	-1.655934604	0.1973687035
-25	-85	2.60268343416170	-0.6965000104	-1.751451861	0.2057253806
-20	-85	2.58560785782153	-0.4813564915	-1.821507059	0.2118544163
-15	-85	2.56141943053023	-0.2605895184	-1.865353646	0.2156904956
-10	-85	2.53045420885374	-0.03778681970	-1.882812431	0.2172179414
-5	-85	2.49312670777852	0.1835302999	-1.874259994	0.2164697001
-2.84217e-14	-85	2.44992744822331	0.4000000000	-1.840604735	0.2135252464
5	-85	2.40140794449329	0.6085060723	-1.783235312	0.2085060723
10	-85	2.34817519249120	0.8062512358	-1.703965248	0.2015708404
15	-85	2.29087755599051	0.9908168273	-1.604958417	0.1929088651
20	-85	2.23019817302893	1.160207945	-1.488654164	0.1827335614
25	-85	2.16685040385609	1.312885316	-1.357688879	0.1712755836
30	-85	2.10156591319996	1.447779766	-1.214807790	0.1587751081
35	-85	2.03507274471932	1.564283669	-1.062769402	0.1454734727
40	-85	1.96809833049397	1.662237596	-0.9042761902	0.1316071135
45	-85	1.90135171992462	1.741893344	-0.7418933445	0.1174004553

-45	-80	2.58857830146944	-1.416337685	-1.216337685	0.3202693400
-40	-80	2.59995214107341	-1.256176786	-1.373754635	0.3480261954
-35	-80	2.60393116377695	-1.078213529	-1.511107705	0.3722452476
-30	-80	2.60053089398086	-0.8853654722	-1.626318304	0.3925599847
-25	-80	2.58985597705080	-0.6808065509	-1.717797128	0.4086901695
-20	-80	2.57210334218181	-0.4678783555	-1.784476184	0.4204474862
-15	-80	2.54755463875100	-0.2499953642	-1.825815724	0.4277367623
-10	-80	2.51656379761101	-0.03055353921	-1.841790459	0.4305535392
-5	-80	2.47954478670646	0.1871521989	-1.832861499	0.4289791227
-2.84217e-14	-80	2.43696537794993	0.4000000000	-1.799942398	0.4231745969
5	-80	2.38933913680305	0.6051044144	-1.744354184	0.4133728950
10	-80	2.33722101853074	0.7998701652	-1.667776398	0.3998701652
15	-80	2.28119919941473	0.9820361541	-1.572188499	0.3830154396
20	-80	2.22189054088616	1.149709655	-1.459810348	0.3632001394
25	-80	2.15994287903455	1.301393913	-1.333045484	0.3408480738
30	-80	2.09602263414413	1.436001968	-1.194408045	0.3164025527
35	-80	2.03080097398701	1.552855927	-1.046448894	0.2903133623
40	-80	1.96496054078999	1.651685360	-0.8917005251	0.2630270497
45	-80	1.89917670048033	1.732602614	-0.7326026143	0.2349737955

-45	-75	2.57537502730778	-1.389233020	-1.189233020	0.4794235427
-40	-75	2.58435721186509	-1.227266401	-1.339300580	0.5196340242
-35	-75	2.58613177963083	-1.048854497	-1.469178662	0.5544347514
-30	-75	2.58082331521550	-0.8570118652	-1.577208416	0.5833812369
-25	-75	2.56863615879494	-0.6548927829	-1.662224873	0.6061613279
-20	-75	2.54984245778491	-0.4457014675	-1.723545685	0.6225921900
-15	-75	2.52476827894280	-0.2326130272	-1.760943959	0.6326130272
-10	-75	2.49378604119657	-0.01870896546	-1.774616544	0.6362765852
-5	-75	2.45730115304807	0.1930770349	-1.765140314	0.6337374371
-2.84217e-14	-75	2.41574492896954	0.4000000000	-1.733430417	0.6252407957
5	-75	2.36957000515613	0.5995353524	-1.680699514	0.6111115930
10	-75	2.31925478805500	0.7894050078	-1.608425541	0.5917458404
15	-75	2.26529256044351	0.9675980628	-1.518304809	0.5675980628
20	-75	2.20819851267798	1.132389061	-1.412222407	0.5391733688
25	-75	2.14851822752384	1.282357886	-1.292222594	0.5070195159
30	-75	2.08681573047898	1.416401285	-1.160458666	0.4717134779
35	-75	2.02367342729274	1.533742823	-1.019152553	0.4338506191
40	-75	1.95970086719973	1.633945278	-0.8705587179	0.3940350209
45	-75	1.89551459293415	1.716902301	-0.7169023009	0.3528629080

-45	-70	2.55659120052236	-1.350730846	-1.150730846	0.6372139162
-40	-70	2.56234275263925	-1.186528559	-1.290751110	0.6881771244
-35	-70	2.56118622473051	-1.007797316	-1.410542930	0.7317777813
-30	-70	2.55339051555558	-0.8176377933	-1.509010523	0.7676170542
-25	-70	2.53927888277078	-0.6191295383	-1.585530348	0.7954679927
-20	-70	2.51920190701753	-0.4152529790	-1.639889151	0.8152529790
-15	-70	2.49353400314066	-0.2088434174	-1.672234568	0.8270257479
-10	-70	2.46265909386326	-0.002557241131	-1.683015563	0.8309497093
-5	-70	2.42696047946848	0.2011445184	-1.672928555	0.8272783387
-2.84217e-14	-70	2.38681762281633	0.4000000000	-1.642874907	0.8163397054
5	-70	2.34260698401770	0.5919438919	-1.593928724	0.7985247516
10	-70	2.29470454071355	0.7751026406	-1.527312786	0.7742785332
15	-70	2.24348894618655	0.9477901946	-1.444380838	0.7440937726
20	-70	2.18935445573432	1.108509206	-1.346613044	0.7085092057
25	-70	2.13271497165432	1.255956720	-1.235605110	0.6681056220
30	-70	2.07400391579117	1.389032244	-1.113054097	0.6235007010
35	-70	2.01368986145506	1.506857109	-0.9807557747	0.5753480496
40	-70	1.95228061875261	1.608795722	-0.8405866439	0.5243306583
45	-70	1.89031049106127	1.694467760	-0.6944677604	0.4711477340

-45	-65	2.53194442717633	-1.300309390	-1.100309390	0.7928672898
-40	-65	2.53375545819447	-1.133749829	-1.227851868	0.8523413242
-35	-65	2.52910635590646	-0.9551389716	-1.335339021	0.9024634067
-30	-65	2.51842937911408	-0.7676013566	-1.422344873	0.9430349016
-25	-65	2.50215686534898	-0.5740436796	-1.488843412	0.9740436796
-20	-65	2.48071579695767	-0.3771222093	-1.535125722	0.9956254754
-15	-65	2.45451196007712	-0.1792296523	-1.561714492	1.008024022
-10	-65	2.42392142908796	0.01749500032	-1.569293651	1.011558242
-5	-65	2.38928889525504	0.2111420847	-1.558655849	1.006597754
-2.84217e-14	-65	2.35092775639350	0.4000000000	-1.530664132	0.9935450019
5	-65	2.30912444297463	0.5825214311	-1.486229503	0.9728247941
10	-65	2.26414560939166	0.7572917031	-1.426301940	0.9448801124
15	-65	2.21624675463849	0.9230024779	-1.351871820	0.9101727773
20	-65	2.16568636390297	1.078434416	-1.263983237	0.8691896582
25	-65	2.11273304528598	1.222448144	-1.163745736	0.8224481438
30	-65	2.05767918933541	1.353987050	-1.052354040	0.7705053427
35	-65	2.00085843983750	1.472094593	-0.9311097556	0.7139682045
40	-65	1.94265271689719	1.575939557	-0.8014301919	0.6534976309
45	-65	1.88349299740131	1.664846414	-0.6648464141	0.5898075693

-45	-60	2.50109704827316	-1.237352363	-1.037352363	0.9453258278
-40	-60	2.49843891678409	-1.068729511	-1.150363672	1.010572937
-35	-60	2.48995752134178	-0.8910738321	-1.243844520	1.064544130
-30	-60	2.47622456824346	-0.7074012924	-1.318075303	1.107401292
-25	-60	2.45777156361392	-0.5203213653	-1.373635537	1.139479009
-20	-60	2.43506566157733	-0.3320454582	-1.411278366	1.161212106
-15	-60	2.40851473160106	-0.1444318078	-1.431847168	1.173087509
-10	-60	2.37846458937694	0.04096176480	-1.436207016	1.175604669
-5	-60	2.34520218559997	0.2228179625	-1.425199956	1.169249740
-2.84217e-14	-60	2.30896262103647	0.4000000000	-1.399620286	1.154481311
5	-60	2.26993694039538	0.5714956837	-1.360204634	1.131724673
10	-60	2.22828113374281	0.7363674739	-1.307634740	1.101373430
15	-60	2.18413002575347	0.8937108513	-1.242553981	1.063799037
20	-60	2.13760577429727	1.042621110	-1.165586989	1.019362123
25	-60	2.08883776641058	1.182172783	-1.077374947	0.9684328773
30	-60	2.03797492531972	1.311410094	-0.9786085892	0.9114100939
35	-60	1.98520786153523	1.429354878	-0.8700711177	0.8487459555
40	-60	1.93077123569602	1.535021022	-0.7526653809	0.7809617218
45	-60	1.87497599201726	1.627459916	-0.6274599157	0.7086743127

-45	-55	2.46367987681807	-1.161202586	-0.9612025857	1.093165819
-40	-55	2.45626540463620	-0.9913392070	-1.058133498	1.161037575
-35	-55	2.44387325626015	-0.8159315725	-1.136530252	1.215931572
-30	-55	2.42717626992990	-0.6377029440	-1.197354222	1.258520975
-25	-55	2.40674705861667	-0.4588018232	-1.241706453	1.289576742
-20	-55	2.38305564812443	-0.2808826153	-1.270709611	1.309884971
-15	-55	2.35647604875020	-0.1051993957	-1.285429813	1.320192168
-10	-55	2.32729470208222	0.06730134624	-1.286827826	1.321171067
-5	-55	2.29572281495392	0.2358944312	-1.275735234	1.313403951
-2.84217e-14	-55	2.26190964465325	0.4000000000	-1.252847909	1.297378073
5	-55	2.22595279213746	0.5591181856	-1.218729184	1.273487884
10	-55	2.18790330539909	0.7127719423	-1.173817830	1.242040616
15	-55	2.14778419773986	0.8604584373	-1.118454283	1.203274643
20	-55	2.10560418186955	1.001609653	-1.052908938	1.157379298
25	-55	2.06136430279455	1.135558569	-0.9774104409	1.104514682
30	-55	2.01508086053416	1.261517710	-0.8921924451	1.044844398
35	-55	1.96679700835085	1.378565714	-0.7975366746	0.9785657145
40	-55	1.91660456461104	1.485651033	-0.6938285194	0.9059484825
45	-55	1.86467241809928	1.581619182	-0.5816191819	0.8273786585

-45	-50	2.41933475431751	-1.071246824	-0.8712468244	1.234522668
-40	-50	2.40717667384019	-0.9015994312	-0.9511857982	1.301599431
-35	-50	2.39109497981298	-0.7302325521	-1.014139366	1.354423747
-30	-50	2.37179210809742	-0.5593466146	-1.061637079	1.394279060
-25	-50	2.34981901733178	-0.3904661227	-1.095160070	1.422408190
-20	-50	2.32559196945166	-0.2245921598	-1.116052855	1.439939318
-15	-50	2.29941195781966	-0.06234037753	-1.125477779	1.447847768
-10	-50	2.27148161381548	0.09594244009	-1.124396112	1.446940141
-5	-50	2.24192394653412	0.2500821150	-1.113569267	1.437855340
-2.84217e-14	-50	2.21080147740650	0.4000000000	-1.093572187	1.421075797
5	-50	2.17812238686896	0.5456514625	-1.064803834	1.396936283
10	-50	2.14385036923948	0.6869730083	-1.027504805	1.365638681
15	-50	2.10791865751718	0.8238370182	-0.9817812862	1.327272094
20	-50	2.07023978312712	0.9560113530	-0.9276286373	1.281832626
25	-50	2.03071434318599	1.083121075	-0.8649578728	1.229245611
30	-50	1.98924081705872	1.204611600	-0.7936281719	1.169392885
35	-50	1.94573426045333	1.319717626	-0.7134928946	1.102151403
40	-50	1.90015138197061	1.427442641	-0.6244584580	1.027442641
45	-50	1.85250293676441	1.526544831	-0.5265448314	0.9452833525

-45	-45	2.36776239030967	-0.9670282534	-0.7670282534	1.367028253
-40	-45	2.35123253680316	-0.7997719036	-0.8298324764	1.429832476
-35	-45	2.33200275882312	-0.6347390220	-0.8777604717	1.477760472
-30	-45	2.31071639070798	-0.4733687029	-0.9127189671	1.512718967
-25	-45	2.28783035198879	-0.3164240380	-0.9363763076	1.536376308
-20	-45	2.26365331914338	-0.1642010331	-0.9501295984	1.550129598
-15	-45	2.23837880188568	-0.01668940786	-0.9551060411	1.555106041
-10	-45	2.21210989784012	0.1263088482	-0.9521796535	1.552179654
-5	-45	2.18487840498095	0.2650929668	-0.9419944450	1.541994445
-2.84217e-14	-45	2.15666260375929	0.4000000000	-0.9249907518	1.524990752
5	-45	2.12739671831945	0.5313577813	-0.9014263103	1.501426310
10	-45	2.09697660155480	0.6594463964	-0.8713936310	1.471393631
15	-45	2.06526976232245	0.7844639851	-0.8348391261	1.434839126
20	-45	2.03211875227256	0.9064925312	-0.7915767926	1.391576793
25	-45	1.99734700286902	1.025460452	-0.7413042670	1.341304267
30	-45	1.96076735191208	1.141100399	-0.6836235443	1.283623544
35	-45	1.92219371265759	1.252901582	-0.6180696943	1.218069694
40	-45	1.88145418387734	1.360056410	-0.5441506754	1.144150675
45	-45	1.83841979520561	1.461412164	-0.4614121636	1.061412164