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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	2.45802500869525	-0.9191414004	-0.7191414004	1.419141400
-40	-45	2.43566695962339	-0.7428565610	-0.7811787716	1.481178772
-35	-45	2.40997261697228	-0.5693352309	-0.8271689786	1.527168979
-30	-45	2.38175005580881	-0.4002169047	-0.8592214167	1.559221417
-25	-45	2.35157194269325	-0.2363844375	-0.8791815225	1.579181522
-20	-45	2.31982370214809	-0.07820113982	-0.8885945756	1.588594576
-15	-45	2.28674430384587	0.07430702565	-0.8887078087	1.588707809
-10	-45	2.25246257545031	0.2213162523	-0.8804940719	1.580494072
-5	-45	2.21702381398555	0.3631081233	-0.8646813103	1.564681310
0	-45	2.18040236180216	0.5000000000	-0.8417772957	1.541777296
5	-45	2.14252025570822	0.6322915960	-0.8120998611	1.512099861
10	-45	2.10326121393269	0.7602239540	-0.7758033791	1.475803379
15	-45	2.06247131027485	0.8839430343	-0.7328949110	1.432894911
20	-45	2.01997849446151	1.003466650	-0.6832632523	1.383263252
25	-45	1.97559557839912	1.118649088	-0.6266972516	1.326697252
30	-45	1.92913149902019	1.229143170	-0.5629130171	1.262913017
35	-45	1.88040836230858	1.334360895	-0.4915908495	1.191590850
40	-45	1.82928924070022	1.433438016	-0.4124281092	1.112428109
45	-45	1.77570748255075	1.525205193	-0.3252051931	1.025205193

-45	-40	2.41005349087077	-0.9656026987	-0.5297866839	1.465602699
-40	-40	2.38611266409430	-0.7902097798	-0.5902097798	1.537612140
-35	-40	2.35869490671419	-0.6149175530	-0.6360708883	1.592267281
-30	-40	2.32859138701124	-0.4418727115	-0.6688831321	1.631371391
-25	-40	2.29638964782695	-0.2724927782	-0.6900659660	1.656616109
-20	-40	2.26251023001358	-0.1076500821	-0.7008809286	1.669504879
-15	-40	2.22723906891975	0.05217135038	-0.7024033859	1.671319273
-10	-40	2.19075758226650	0.2067480534	-0.6955187074	1.663114433
-5	-40	2.15316634419795	0.3560173529	-0.6809307537	1.645729187
0	-40	2.11449642977441	0.5000000000	-0.6591721058	1.619798240
5	-40	2.07473278655828	0.6387377800	-0.6306274819	1.585780082
10	-40	2.03382784267551	0.7722455367	-0.5955540243	1.543981163
15	-40	1.99170264514222	0.9004695852	-0.5540955178	1.494572839
20	-40	1.94826991346612	1.023253489	-0.5063124088	1.437627147
25	-40	1.90344281288108	1.140307636	-0.4522047554	1.373144157
30	-40	1.85714513125500	1.251181306	-0.3917392627	1.301084189
35	-40	1.80932873901701	1.355240907	-0.3248851806	1.221410596
40	-40	1.75999254389887	1.451656486	-0.2516564858	1.134140036
45	-40	1.70921500655945	1.539408518	-0.1721673038	1.039408518

-45	-35	2.36085359456676	-0.9960428792	-0.3475405015	1.496042879
-40	-35	2.33480188749775	-0.8225368075	-0.4036237030	1.576137992
-35	-35	2.30528450153299	-0.6469777337	-0.4469777337	1.638053964
-30	-35	2.27306046282935	-0.4718130337	-0.4786100193	1.683229550
-25	-35	2.23872311573235	-0.2988456812	-0.4995466041	1.713130092
-20	-35	2.20272066953989	-0.1293576113	-0.5107609419	1.729145826
-15	-35	2.16538026654818	0.03576918264	-0.5131326646	1.732532997
-10	-35	2.12693213690268	0.1959441974	-0.5074281779	1.724386146
-5	-35	2.08752878617426	0.3507768026	-0.4942942488	1.705628951
0	-35	2.04725701155790	0.5000000000	-0.4742583810	1.677014766
5	-35	2.00616217599243	0.6434068533	-0.4477436693	1.639147834
10	-35	1.96426174447972	0.7808012399	-0.4150825821	1.592502967
15	-35	1.92154962351039	0.9119565353	-0.3765289824	1.537442720
20	-35	1.87801268069493	1.036582596	-0.3322799589	1.474248566
25	-35	1.83364506950852	1.154301300	-0.2824987739	1.403153666
30	-35	1.78845689919843	1.264628022	-0.2273370661	1.324374582
35	-35	1.74249177092494	1.366964256	-0.1669642559	1.238153274
40	-35	1.69583132951083	1.460595143	-0.1015924870	1.144792712
45	-35	1.64862504040601	1.544712708	-0.03151571346	1.044712708

-45	-30	2.31111875623686	-1.012982377	-0.1735207828	1.512982377
-40	-30	2.28252560863505	-0.8418029551	-0.2232399450	1.599098492
-35	-30	2.25059173508868	-0.6669597056	-0.2622068649	1.666591177
-30	-30	2.21604826038704	-0.4910469103	-0.2910469103	1.716543601
-25	-30	2.17949219466971	-0.3161186588	-0.3104623399	1.750172112
-20	-30	2.14139566576852	-0.1437604522	-0.3211694127	1.768717306
-15	-30	2.10212288386566	0.02482642232	-0.3238567637	1.773371934
-10	-30	2.06194874132345	0.1887410305	-0.3191602506	1.765237335
-5	-30	2.02107329128573	0.3473061786	-0.3076484811	1.745298365
0	-30	1.97963530925625	0.5000000000	-0.2898176546	1.714414468
5	-30	1.93773438649820	0.6463974957	-0.2660981221	1.673331033
10	-30	1.89544359055328	0.7861243866	-0.2368616814	1.622692032
15	-30	1.85281486048163	0.9188188392	-0.2024291783	1.563053187
20	-30	1.80989537514794	1.044102654	-0.1630865500	1.494909756
25	-30	1.76673530352027	1.161560363	-0.1190988218	1.418720776
30	-30	1.72339809054510	1.270727057	-0.07072705655	1.334938421
35	-30	1.67997650398570	1.371088637	-0.01824884978	1.244043500
40	-30	1.63659071996764	1.462084393	0.03802892703	1.146567532
45	-30	1.59340586280861	1.543128997	0.09774919277	1.043128997

-45	-25	2.26127850150271	-1.018545600	-0.008109442551	1.518545600
-40	-25	2.22982321747783	-0.8497715284	-0.05010019917	1.608595068
-35	-25	2.19524349559627	-0.6762494709	-0.08333080731	1.679858337
-30	-25	2.15825176816870	-0.5006147932	-0.1081651050	1.733115661
-25	-25	2.11944980567819	-0.3250628552	-0.1250628552	1.769353003
-20	-25	2.07933157639795	-0.1513824560	-0.1345315057	1.789658589
-15	-25	2.03829450833703	0.01899170243	-0.1370909827	1.795147405
-10	-25	1.99665306572500	0.1849197457	-0.1332493128	1.786908918
-5	-25	1.95464913592006	0.3454975614	-0.1234857800	1.765970954
0	-25	1.91246581553957	0.5000000000	-0.1082429786	1.733282661
5	-25	1.87024680720379	0.6478309775	-0.08792742010	1.689715805
10	-25	1.82810738746157	0.7884830371	-0.06291131922	1.636068604
15	-25	1.78613953893022	0.9215033379	-0.03353546099	1.573071873
20	-25	1.74442874607884	1.046469016	-0.0001195790977	1.501411283
25	-25	1.70305798006680	1.162969171	0.03703082948	1.421741974
30	-25	1.66211365705400	1.270593838	0.07761558773	1.334707679
35	-25	1.62170148492035	1.368935732	0.1213267294	1.240968834
40	-25	1.58194152267369	1.457591441	0.1678436201	1.141213039
45	-25	1.54298207775824	1.536178712	0.2168219314	1.036178712

-45	-20	2.21156666564151	-1.014461123	0.1487812304	1.514461123
-40	-20	2.17703983527197	-0.8479601310	0.1153049931	1.606436329
-35	-20	2.13968404777810	-0.6761118461	0.08865310530	1.679661789
-30	-20	2.10020050673664	-0.5015246375	0.06862390753	1.734691557
-25	-20	2.05919711655876	-0.3264506199	0.05492497182	1.772329074
-20	-20	2.01718719253170	-0.1527931975	0.04720680253	1.793534570
-15	-20	1.97459617936540	0.01786505244	0.04508938721	1.799352120
-10	-20	1.93177098068766	0.1842240981	0.04818240218	1.790854132
-5	-20	1.88898701194482	0.3452239230	0.05610074814	1.769098655
0	-20	1.84646074285703	0.5000000000	0.06847323208	1.735105535
5	-20	1.80436682701807	0.6478426358	0.08494524173	1.689849060
10	-20	1.76284715243328	0.7881628594	0.1051806308	1.634252786
15	-20	1.72201528056047	0.9204625511	0.1288624204	1.569187603
20	-20	1.68197257405756	1.044312525	0.1556874747	1.495486372
25	-20	1.64280989822793	1.159335256	0.1853646439	1.413949020
30	-20	1.60461516176198	1.265194377	0.2176100341	1.325355539
35	-20	1.56748131706479	1.361591387	0.2521418984	1.230480021
40	-20	1.53150393468893	1.448262963	0.2886787696	1.130095793
45	-20	1.49679264948872	1.524990253	0.3269340574	1.024990253

-45	-15	2.16207747879408	-1.002095957	0.2975146014	1.502095957
-40	-15	2.12437786236351	-0.8376357971	0.2728535465	1.594132267
-35	-15	2.08421569991811	-0.6676610269	0.2531698645	1.667592768
-30	-15	2.04228699427783	-0.4947131866	0.2383520035	1.722893778
-25	-15	1.99920515678998	-0.3210376873	0.2282162293	1.760721002
-20	-15	1.95549795498352	-0.1485763405	0.2225282446	1.781948850
-15	-15	1.91161081281437	0.02102142869	0.2210214287	1.787572364
-10	-15	1.86791286479346	0.1863757154	0.2234117124	1.778651704
-5	-15	1.82470155038615	0.3463466088	0.2294098639	1.756266297
0	-15	1.78221295197138	0.5000000000	0.2387293456	1.721485518
5	-15	1.74063764524306	0.6465745874	0.2510899269	1.675355201
10	-15	1.70012803051335	0.7854530569	0.2662211434	1.618884732
15	-15	1.66080212994073	0.9161352437	0.2838647563	1.553037872
20	-15	1.62275822268639	1.038217177	0.3037729340	1.478739541
25	-15	1.58607657859603	1.151373193	0.3257086541	1.396874320
30	-15	1.55082781997795	1.255343831	0.3494437080	1.308293893
35	-15	1.51707688851374	1.349927173	0.3747574295	1.213821798
40	-15	1.48488453074955	1.434972416	0.4014358074	1.114256736
45	-15	1.45431503425789	1.510380412	0.4292693846	1.010380412

-45	-10	2.11281191287293	-0.9825048548	0.4385943951	1.482504855
-40	-10	2.07193739306179	-0.8198299145	0.4226531687	1.572912042
-35	-10	2.02903361989624	-0.6518526257	0.4099392900	1.645016031
-30	-10	1.98479514211355	-0.4810255095	0.4003876584	1.699186026
-25	-10	1.93983677707057	-0.3095385669	0.3938855951	1.736061059
-20	-10	1.89469196005143	-0.1393064056	0.3902852002	1.756479913
-15	-10	1.84981425336792	0.02802947932	0.3894144888	1.761417963
-10	-10	1.80558123353868	0.1910869531	0.3910869531	1.751932947
-5	-10	1.76229763903009	0.3487217576	0.3951098044	1.729118223
0	-10	1.72020328066613	0.5000000000	0.4012898351	1.694069528
5	-10	1.67948907272390	0.6441698323	0.4094362833	1.647868724
10	-10	1.64030272966850	0.7806358998	0.4193641002	1.591565276
15	-10	1.60275176611695	0.9089338074	0.4308965072	1.526161746
20	-10	1.56691781409275	1.028708949	0.4438646243	1.452615900
25	-10	1.53285901207417	1.139697372	0.4581083987	1.371835441
30	-10	1.50061922619121	1.241711681	0.4734758461	1.284682316
35	-10	1.47022852595371	1.334627170	0.4898233297	1.191971129
40	-10	1.44171012490902	1.418373382	0.5070145671	1.094474777
45	-10	1.41508340437628	1.492927011	0.5249201781	0.9929270107

-45	-5	2.06370467767802	-0.9564751713	0.5725749338	1.456475171
-40	-5	2.01974303462141	-0.7953598679	0.5649393953	1.543749776
-35	-5	1.97425185448581	-0.6294874835	0.5588741980	1.613075298
-30	-5	1.92792334404703	-0.4612066211	0.5543437370	1.664858704
-25	-5	1.88136543059704	-0.2926116512	0.5512901668	1.699761171
-20	-5	1.83510425393327	-0.1255322290	0.5496388618	1.718635674
-15	-5	1.78958555502407	0.03846627156	0.5493036359	1.722467324
-10	-5	1.74517817165245	0.1980715956	0.5501913180	1.712321070
-5	-5	1.70217696537054	0.3522057719	0.5522057719	1.689295757
0	-5	1.66080853056103	0.5000000000	0.5552509990	1.654488653
5	-5	1.62124873517157	0.6407675055	0.5592324945	1.608979950
10	-5	1.58362745448564	0.7739789657	0.5640590711	1.553811927
15	-5	1.54802936708320	0.8992364397	0.5696444568	1.489970677
20	-5	1.51451259754844	1.016252109	0.5759068660	1.418391012
25	-5	1.48310784742668	1.124827341	0.5827698665	1.339946557
30	-5	1.45382971361295	1.224837298	0.5901619176	1.255455027
35	-5	1.42667465303544	1.316213575	0.5980167580	1.165673790
40	-5	1.40163355241376	1.398936064	0.6062724951	1.071310283
45	-5	1.37868843129735	1.473019779	0.6148718000	0.9730197789

-45	0	2.01464299638395	-0.9245677244	0.7000000000	1.424567724
-40	0	1.96776546582395	-0.7648552602	0.7000000000	1.507395800
-35	0	1.91992720429013	-0.6012250039	0.7000000000	1.572712294
-30	0	1.87180774198068	-0.4359038710	0.7000000000	1.621033056
-25	0	1.82399679723427	-0.2708543559	0.7000000000	1.653102501
-20	0	1.77699560492343	-0.1077682915	0.7000000000	1.669829657
-15	0	1.73122230085197	0.05192669723	0.7000000000	1.672232331
-10	0	1.68701724890192	0.2070525290	0.7000000000	1.661387666
-5	0	1.64464686001669	0.3566595814	0.7000000000	1.638388482
0	0	1.60430847716497	0.5000000000	0.7000000000	1.604308477
5	0	1.56614954425751	0.6364989268	0.7000000000	1.560189872
10	0	1.53026961982009	0.7657285308	0.7000000000	1.507021386
15	0	1.49672526599818	0.8873810041	0.7000000000	1.445725589
20	0	1.46554810163544	1.001246972	0.7000000000	1.377164737
25	0	1.43674130598123	1.107193113	0.7000000000	1.302129834
30	0	1.41029352049290	1.205146760	0.7000000000	1.221350016
35	0	1.38617499519660	1.295077314	0.7000000000	1.135488081
40	0	1.36435286822015	1.376989119	0.7000000000	1.045154933
45	0	1.34478431178021	1.450906106	0.7000000000	0.9509061061

-45	5	1.96549258598101	-0.8871612454	0.8213608835	1.387161245
-40	5	1.91595027693577	-0.7287925023	0.8281199631	1.464417879
-35	5	1.86608711634925	-0.5676054508	0.8333938425	1.524698596
-30	5	1.81655049244386	-0.4056793499	0.8372419485	1.568682649
-25	5	1.76789443968926	-0.2448067814	0.8397406814	1.597243297
-20	5	1.72057542565711	-0.08649277224	0.8409771019	1.611375648
-15	5	1.67496160227877	0.06802776423	0.8410441780	1.612142331
-10	5	1.63134386828288	0.2177657507	0.8400369766	1.600629967
-5	5	1.58994209498419	0.3619507435	0.8380492565	1.577910223
0	5	1.55090921665152	0.5000000000	0.8351706447	1.545007539
5	5	1.51435145038681	0.6314859784	0.8314859784	1.502891610
10	5	1.48033205313851	0.7561081166	0.8270738985	1.452461306
15	5	1.44887761203143	0.8736652235	0.8220062308	1.394537599
20	5	1.41999347275480	0.9840333623	0.8163486131	1.329870733
25	5	1.39366003865367	1.087143341	0.8101598597	1.259132958
30	5	1.36984695877198	1.182965934	0.8034931132	1.182931697
35	5	1.34851094118625	1.271495403	0.7963958512	1.101809622
40	5	1.32960584068964	1.352741174	0.7889109980	1.016257357
45	5	1.31307839965420	1.426715003	0.7810770571	0.9267150032

-45	10	1.91610187804271	-0.8444785687	0.9370678466	1.344478569
-40	10	1.86422648734079	-0.6875174866	0.9495429210	1.415228231
-35	10	1.81273768445376	-0.5290645956	0.9591401023	1.469656551
-30	10	1.76222903827834	-0.3710176700	0.9660151455	1.508646859
-25	10	1.71319096407973	-0.2149540489	0.9703487420	1.533223906
-20	10	1.66601273728345	-0.06214552927	0.9723338739	1.544482148
-15	10	1.62099042517590	0.08641269328	0.9721657804	1.543528842
-10	10	1.57834504142291	0.2299643091	0.9700356909	1.531448504
-5	10	1.53823248284946	0.3679558428	0.9661253084	1.509271623
0	10	1.50074914151095	0.5000000000	0.9606023536	1.477949390
5	10	1.46595280649747	0.6258395626	0.9536204033	1.438352782
10	10	1.43386700578632	0.7453172515	0.9453172515	1.391263269
15	10	1.40448873862597	0.8583480233	0.9358149484	1.337373030
20	10	1.37779968221158	0.9648967647	0.9252212823	1.277293364
25	10	1.35376577181303	1.064957638	0.9136299345	1.211555564
30	10	1.33234732871639	1.158539861	0.9011228739	1.140624498
35	10	1.31350070023682	1.245655082	0.8877716278	1.064905819
40	10	1.29717906155724	1.326306690	0.8736386937	0.9847539668
45	10	1.28333529546524	1.400482809	0.8587794149	0.9004828088

-45	15	1.86631512103079	-0.7966160673	1.047427228	1.296616067
-40	15	1.81252133440883	-0.6412722109	1.064441785	1.360115258
-35	15	1.75988017085249	-0.4859552865	1.077296599	1.408090077
-30	15	1.70890490019058	-0.3323366126	1.086288766	1.441649302
-25	15	1.65999268449038	-0.1817292113	1.091734488	1.461973011
-20	15	1.61343882729397	-0.03512623093	1.093951560	1.470247236
-15	15	1.56944658852660	0.1067550572	1.093244943	1.467610106
-10	15	1.52814883273277	0.2434224082	1.089899256	1.455123831
-5	15	1.48962460458969	0.3745625705	1.084173864	1.433756380
0	15	1.45390550199155	0.5000000000	1.076298434	1.404364873
5	15	1.42099679118735	0.6196584591	1.066474766	1.367702446
10	15	1.39088140654129	0.7335302649	1.054876183	1.324415946
15	15	1.36352879609223	0.8416496027	1.041649603	1.275053676
20	15	1.33890260996874	0.9440713184	1.026918357	1.220075920
25	15	1.31696312670913	1.040853127	1.010784427	1.159863273
30	15	1.29767290588509	1.132042585	0.9933319846	1.094729870
35	15	1.28099828797299	1.217666495	0.9746302307	1.024933974
40	15	1.26690658922453	1.297720422	0.9547355939	0.9506861790
45	15	1.25537314121857	1.372166210	0.9336962316	0.8721662098

-45	20	1.81598262284961	-0.7435686993	1.152621991	1.243568699
-40	20	1.76077540917141	-0.5902212319	1.172897452	1.299275070
-35	20	1.70753048384664	-0.4385716698	1.187872712	1.340419259
-30	20	1.65664862849888	-0.2900076263	1.198032609	1.368333347
-25	20	1.60840394221268	-0.1455265620	1.203857164	1.384336179
-20	20	1.56297079899580	-0.005801697136	1.205801697	1.389678742
-15	20	1.52044256857904	0.1287552332	1.204282336	1.385504332
-10	20	1.48085034618974	0.2579335965	1.199668090	1.372826793
-5	20	1.44418803134479	0.3816689811	1.192280565	1.352529736
0	20	1.41041856747347	0.5000000000	1.182391561	1.325359920
5	20	1.37949355103113	0.6130302107	1.170228149	1.291941220
10	20	1.35135701783888	0.7208988464	1.155974489	1.252779612
15	20	1.32595530996919	0.8237570297	1.139777112	1.208277684
20	20	1.30323987247571	0.9217487235	1.121748723	1.158745094
25	20	1.28317419772666	1.014996890	1.101973966	1.104414395
30	20	1.26573114979362	1.103590432	1.080512425	1.045449295
35	20	1.25089777795824	1.187576138	1.057404390	0.9819604915
40	20	1.23867103750833	1.266949298	1.032674101	0.9140145816
45	20	1.22906181488225	1.341650566	1.006335754	0.8416505661

-45	25	1.76497046451116	-0.6852534446	1.252692758	1.185253445
-40	25	1.70894816807179	-0.5344719540	1.274880713	1.232835668
-35	25	1.65572063611677	-0.3871637821	1.290812356	1.267001187
-30	25	1.60553873002885	-0.2443644102	1.301199728	1.289276978
-25	25	1.55852495600239	-0.1067051207	1.306705121	1.301083330
-20	25	1.51471027068095	0.02549381374	1.307922977	1.303695032
-15	25	1.47406358006147	0.1521421167	1.305371464	1.298223294
-10	25	1.43650851241668	0.2733129129	1.299488089	1.285606356
-5	25	1.40195121097123	0.3891847765	1.290636378	1.266623801
0	25	1.37028681378097	0.5000000000	1.279108231	1.241901610
5	25	1.34141616217507	0.6060303174	1.265133207	1.211932073
10	25	1.31524836065214	0.7075517250	1.248883435	1.177084324
15	25	1.29171161411032	0.8048254322	1.230482783	1.137624000
20	25	1.27075145345714	0.8980823512	1.210011071	1.093722271
25	25	1.25233832755320	0.9875122937	1.187512294	1.045473488
30	25	1.23646262613700	1.073252302	1.162997859	0.9929021131
35	25	1.22313998895131	1.155379582	1.136454196	0.9359790439
40	25	1.21240930930988	1.233903726	1.107847787	0.8746324015
45	25	1.20432818887175	1.308758086	1.077130089	0.8087580857

-45	30	1.71317791803767	-0.6215382126	1.347520389	1.121538213
-40	30	1.65703638689680	-0.4741035597	1.370240972	1.160891417
-35	30	1.60451791641143	-0.3319624240	1.385987658	1.188165477
-30	30	1.55567905302057	-0.1957208227	1.395720823	1.205023813
-25	30	1.51046720924596	-0.06559985672	1.400287083	1.212932807
-20	30	1.46875531537194	0.05845311491	1.400406761	1.213140096
-15	30	1.43038067873106	0.1766701368	1.396679030	1.206683477
-10	30	1.39516127321845	0.2893951234	1.389586935	1.194399608
-5	30	1.36291883009388	0.3970303129	1.379511770	1.176948910
0	30	1.33348657258702	0.5000000000	1.366743286	1.154833247
5	30	1.30672067176808	0.5987238681	1.351492999	1.128418975
10	30	1.28250142095264	0.6935984454	1.333902504	1.097951343
15	30	1.26074240536884	0.7849840435	1.314055272	1.063574930
20	30	1.24138670335288	0.8731938372	1.291981272	1.025341641
25	30	1.22441443553975	0.9584863710	1.267666486	0.9832271956
30	30	1.20983874907074	1.041056337	1.241056337	0.9371370653
35	30	1.19770924479309	1.121027086	1.212062690	0.8869185954
40	30	1.18811046648522	1.198441292	1.180568997	0.8323699188
45	30	1.18115709486416	1.273248828	1.146435419	0.7732488278

-45	35	1.66055556570792	-0.5522729301	1.436809438	1.052272930
-40	35	1.60508886156048	-0.4091945274	1.458699966	1.083535844
-35	35	1.55402636124150	-0.2731946459	1.473194646	1.104236392
-30	35	1.50719535785975	-0.1443788527	1.481499471	1.116096912
-25	35	1.46434692727119	-0.02252429538	1.484622436	1.120556968
-20	35	1.42519430453221	0.09279590212	1.483381035	1.118784064
-15	35	1.38944520801754	0.2021200874	1.478422799	1.111702968
-10	35	1.35682131643785	0.3060354690	1.470247561	1.100027518
-5	35	1.32706980469921	0.4051368294	1.459228733	1.084291002
0	35	1.29997170901213	0.5000000000	1.445633140	1.064874483
5	35	1.27534679147791	0.5911658451	1.429637526	1.042030378
10	35	1.25305282903730	0.6791302962	1.411339712	1.015898392
15	35	1.23299203151132	0.7643382816	1.390771469	0.9865238972
20	35	1.21510732159584	0.8471784017	1.367903337	0.9538648191
25	35	1.19938892252727	0.9279790806	1.342653350	0.9178041002
30	35	1.18587235382440	1.007002004	1.314889512	0.8781532304
35	35	1.17463925135377	1.084433316	1.284433316	0.8346572759
40	35	1.16582130898609	1.160373628	1.251065183	0.7870026431
45	35	1.15959722461502	1.234822004	1.214527907	0.7348220045

-45	40	1.60711929422937	-0.4773220319	1.520070557	0.9773220319
-40	40	1.55322186225338	-0.3398522279	1.539852228	1.000896910
-35	40	1.50440675210982	-0.2111091350	1.552163652	1.015569094
-30	40	1.46025144978459	-0.09064505696	1.558421786	1.023027248
-25	40	1.42030364483706	0.02221770833	1.559747717	1.024607431
-20	40	1.38412533059933	0.1282607435	1.557010392	1.021345213
-15	40	1.35130895577002	0.2282937098	1.550865218	1.014021680
-10	40	1.32149552368006	0.3231063364	1.541796345	1.003213818
-5	40	1.29437350080919	0.4134449953	1.530144953	0.9893282304
0	40	1.26968509150354	0.5000000000	1.516137845	0.9726352089
5	40	1.24722393530406	0.5834021042	1.499905634	0.9532904127
10	40	1.22683234176000	0.6642221737	1.481495633	0.9313502284
15	40	1.20840526055391	0.7429727924	1.460884475	0.9067868063
20	40	1.19188609098315	0.8201089089	1.437981412	0.8794919989
25	40	1.17727057416303	0.8960273107	1.412633311	0.8492833085
30	40	1.16461036342776	0.9710636340	1.384626548	0.8159061476
35	40	1.15401407672391	1.045484092	1.353685480	0.7790320194
40	40	1.14565453296845	1.119473969	1.319473969	0.7382603282
45	40	1.13977348828880	1.193119512	1.281596327	0.6931195124

-45	45	1.55298528956801	-0.3966164750	1.596616475	0.8966164750
-40	45	1.50163042502510	-0.2662423709	1.613172098	0.9131720983
-35	45	1.45587635692358	-0.1459906928	1.622570320	0.9225703202
-30	45	1.41504143106031	-0.03483538878	1.626362067	0.9263620670
-25	45	1.37848608687556	0.06833312929	1.625712592	0.9257125916
-20	45	1.34564049659901	0.1646077595	1.621482607	0.9214826073
-15	45	1.31600865590570	0.2550160558	1.614292527	0.9142925269
-10	45	1.28917289222827	0.3404983341	1.604578898	0.9045788978
-5	45	1.26478381674992	0.4219049299	1.592630736	0.8926307364
0	45	1.24255996388395	0.5000000000	1.578622576	0.8786225765
5	45	1.22227984174779	0.5754706288	1.562633235	0.8626332348
10	45	1.20377685935251	0.6489361245	1.544658735	0.8446587352
15	45	1.18694050005634	0.7209570309	1.524622866	0.8246228657
20	45	1.17171285184045	0.7920418935	1.502378508	0.8023785078
25	45	1.15809055823453	0.8626509778	1.477707532	0.7777075316
30	45	1.14613280366098	0.9331974811	1.450320047	0.7503200470
35	45	1.13596543257034	1.004042183	1.419846839	0.7198468386
40	45	1.12778983284384	1.075481384	1.385832007	0.6858320070
45	45	1.12189697643767	1.147727521	1.347727521	0.6477275213


### +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	1.77570787342240	1.525205419	-0.3252054187	1.025205419
45	-40	1.70921527113960	1.539408678	-0.1721674388	1.039408678
45	-35	1.64862510642604	1.544712750	-0.03151574275	1.044712750
45	-30	1.59340601701134	1.543129098	0.09774913449	1.043129098
45	-25	1.54298213276519	1.536178749	0.2168219142	1.036178749
45	-20	1.49679271035281	1.524990295	0.3269340423	1.024990295
45	-15	1.45431507676411	1.510380441	0.4292693767	1.010380441
45	-10	1.41508343782424	1.492927034	0.5249201740	0.9929270342
45	-5	1.37868844560091	1.473019789	0.6148717991	0.9730197890
45	0	1.34478432038143	1.450906112	0.7000000000	0.9509061122
45	5	1.31307840547591	1.426715007	0.7810770575	0.9267150073
45	10	1.28333530824069	1.400482818	0.8587794164	0.9004828178
45	15	1.25537315669434	1.372166221	0.9336962345	0.8721662206
45	20	1.22906182809845	1.341650575	1.006335757	0.8416505751
45	25	1.20432819848110	1.308758092	1.077130092	0.8087580922
45	30	1.18115710975497	1.273248838	1.146435425	0.7732488376
45	35	1.15959724231094	1.234822016	1.214527915	0.7348220157
45	40	1.13977353672856	1.193119542	1.281596352	0.6931195418
45	45	1.12189699737913	1.147727533	1.347727533	0.6477275334

50	-45	1.78955203764579	1.588263105	-0.3882631053	0.9131611703
50	-40	1.71971045562059	1.608182239	-0.2298753079	0.9298753079
50	-35	1.65532991188756	1.617451711	-0.08244811128	0.9376533181
50	-30	1.59612945964564	1.618221063	0.05439476828	0.9382988815
50	-25	1.54172761817189	1.612202718	0.1813713552	0.9332488905
50	-20	1.49170670682099	1.600729443	0.2993672467	0.9236216698
50	-15	1.44564286707370	1.584809808	0.4093260881	0.9102635096
50	-10	1.40314147846634	1.565195375	0.5121773157	0.8938050463
50	-5	1.36383956902614	1.542423216	0.6087997860	0.8746969360
50	0	1.32742451262693	1.516866172	0.7000000000	0.8532520295
50	5	1.29362664296235	1.488757385	0.7865050621	0.8296659568
50	10	1.26222904728582	1.458221651	0.8689603305	0.8040434335
50	15	1.23306459722159	1.425291162	0.9479310197	0.7764114730
50	20	1.20601731075424	1.389919417	1.023904179	0.7467310546
50	25	1.18102847575650	1.351994260	1.097291448	0.7149080691
50	30	1.15809399513219	1.311340891	1.168427882	0.6807958426
50	35	1.13726922556542	1.267728193	1.237569068	0.6442004433
50	40	1.11867827437892	1.220876814	1.304887469	0.6048874690
50	45	1.10251491873897	1.170461816	1.370461816	0.5625842626

55	-45	1.80152326318295	1.641602366	-0.4416023661	0.7993585824
55	-40	1.72903879578089	1.667209839	-0.2794053454	0.8172891279
55	-35	1.66151400370443	1.680613325	-0.1266743499	0.8266743499
55	-30	1.59889636024257	1.684002645	0.01641575407	0.8290475774
55	-25	1.54099961589307	1.679213631	0.1501236534	0.8256942733
55	-20	1.48755699345944	1.667739061	0.2749777405	0.8176596930
55	-15	1.43826139253711	1.650761074	0.3916544996	0.8057715785
55	-10	1.39280417807342	1.629200216	0.5008915353	0.7906745033
55	-5	1.35088339147020	1.603748047	0.6034345585	0.7728527031
55	0	1.31223075013490	1.574916502	0.7000000000	0.7526646373
55	5	1.27660634909221	1.543059508	0.7912558823	0.7303581300
55	10	1.24381439604760	1.508408437	0.8778096151	0.7060951893
55	15	1.21370113653888	1.471089143	0.9602025516	0.6799639382
55	20	1.18615816810492	1.431139601	1.038907099	0.6519909677
55	25	1.16112942871817	1.388526924	1.114326909	0.6221532504
55	30	1.13860647412848	1.343152258	1.186794183	0.5903815672
55	35	1.11863266805044	1.294860971	1.256567643	0.5565676434
55	40	1.10130988167675	1.243453376	1.323831453	0.5205716581
55	45	1.08679417195977	1.188687636	1.388687636	0.4822242745

60	-45	1.81166785135560	1.686015009	-0.4860150090	0.6847460847
60	-40	1.73713359445686	1.717006154	-0.3211894147	0.7026388305
60	-35	1.66704901748292	1.734470536	-0.1643855748	0.7127218961
60	-30	1.60155792109101	1.740561431	-0.01623847629	0.7162384763
60	-25	1.54065448107208	1.737173739	0.1230964112	0.7142825910
60	-20	1.48422079746672	1.725914039	0.2538037799	0.7077818006
60	-15	1.43207394858456	1.708111937	0.3762873822	0.6975037518
60	-10	1.38399979702729	1.684844252	0.4910799905	0.6840701477
60	-5	1.33976733055862	1.656956426	0.5987794285	0.6679691041
60	0	1.29915875259969	1.625104483	0.7000000000	0.6495793763
60	5	1.26196800210375	1.589772796	0.7953427655	0.6291806170
60	10	1.22802110812174	1.551310668	0.8853744359	0.6069744971
60	15	1.19717384589466	1.509947856	0.9706147123	0.5830936663
60	20	1.16931874500717	1.465816049	1.051528293	0.5576141556
60	25	1.14439259187202	1.418968191	1.128521905	0.5305665324
60	30	1.12237090236798	1.369384763	1.201939527	0.5019395267
60	35	1.10327340465901	1.316987681	1.272060933	0.4716880575
60	40	1.08716613797877	1.261650045	1.339100272	0.4397388584
60	45	1.07415596801568	1.203200147	1.403200147	0.4059927944

65	-45	1.82006441978053	1.722251401	-0.5222514010	0.5699451885
65	-40	1.74396787334545	1.758098892	-0.3556703166	0.5866611482
65	-35	1.67184290482565	1.779338373	-0.1958023728	0.5965652808
65	-30	1.60399396657762	1.788036504	-0.04364822255	0.6006212860
65	-25	1.54056957158009	1.786093868	0.1002845805	0.5997154195
65	-20	1.48159117211328	1.775189776	0.2358688785	0.5946307581
65	-15	1.42699729975310	1.756771526	0.3632490845	0.5860421872
65	-10	1.37666874259306	1.732052626	0.4827558804	0.5745155748
65	-5	1.33044851165219	1.702023107	0.5948366048	0.5605125801
65	0	1.28817168758068	1.667480031	0.7000000000	0.5444048794
65	5	1.24966713196326	1.629039385	0.7987781468	0.5264797114
65	10	1.21478137410524	1.587171181	0.8916976118	0.5069562472
65	15	1.18337730731570	1.542212837	0.9792600881	0.4859918275
65	20	1.15534361449733	1.494391970	1.061929078	0.4636925910
65	25	1.13060266860989	1.443846474	1.140122839	0.4401228391
65	30	1.10910602853903	1.390632435	1.214206876	0.4153087250
65	35	1.09084217071940	1.334741257	1.284492121	0.3892462408
65	40	1.07583457210942	1.276107349	1.351231391	0.3619048006
65	45	1.06413824342831	1.214614518	1.414614518	0.3332302226

70	-45	1.82679242946048	1.750971158	-0.5509711585	0.4553162656
70	-40	1.74953369797672	1.790979818	-0.3832606894	0.4698782269
70	-35	1.67582925622984	1.815533650	-0.2211465787	0.4788150909
70	-30	1.60610678469629	1.826587567	-0.06590568864	0.4828383874
70	-25	1.54063980764204	1.826012309	0.08167030548	0.4826290108
70	-20	1.47957188645481	1.815526559	0.2211874901	0.4788125099
70	-15	1.42295245284147	1.796666397	0.3525592861	0.4719479722
70	-10	1.37075113757653	1.770758989	0.4759309043	0.4625184469
70	-5	1.32288196445690	1.738922602	0.5916083173	0.4509309497
70	0	1.27923108545857	1.702084011	0.7000000000	0.4375227992
70	5	1.23966069247936	1.660983135	0.8015728629	0.4225633037
70	10	1.20403524260627	1.616204514	0.8968169718	0.4062652185
70	15	1.17222146275324	1.568187611	0.9862200076	0.3887884948
70	20	1.14410069516902	1.517250236	1.070248807	0.3702488067
70	25	1.11957692943720	1.463607965	1.149337773	0.3507246166
70	30	1.09857468266217	1.407383948	1.223878367	0.3302607481
70	35	1.08104883464416	1.348628292	1.294215927	0.3088754383
70	40	1.06698128981924	1.287324824	1.360643970	0.2865628008
70	45	1.05637921382123	1.223399061	1.423399061	0.2632957259

75	-45	1.83193395520859	1.772729870	-0.5727298696	0.3410269407
75	-40	1.75384236556715	1.816082584	-0.4043244105	0.3526432655
75	-35	1.67896672148126	1.843350769	-0.2406243347	0.3599497536
75	-30	1.60782323479562	1.856375796	-0.08310393096	0.3634397992
75	-25	1.54078229065951	1.856983164	0.06722835857	0.3636025430
75	-20	1.47808654063141	1.846907372	0.2097658082	0.3609027426
75	-15	1.41987820614356	1.827746749	0.3442313309	0.3557686691
75	-10	1.36620255088128	1.800916408	0.4706133376	0.3485795010
75	-5	1.31703635215098	1.767641033	0.5890957802	0.3396633910
75	0	1.27231056188628	1.728957631	0.7000000000	0.3292982047
75	5	1.23191638356872	1.685713480	0.8037364877	0.3177109695
75	10	1.19573289310191	1.638592912	0.9007646504	0.3050850512
75	15	1.16362813443292	1.588123943	0.9915619318	0.2915619318
75	20	1.13547540222615	1.534702738	1.076600998	0.2772477630
75	25	1.11116020879072	1.478610479	1.156333561	0.2622178876
75	30	1.09058116947169	1.420025205	1.231176800	0.2465200108
75	35	1.07366194187318	1.359042991	1.301508378	0.2301798758
75	40	1.06034781374297	1.295684560	1.367658620	0.2132030352
75	45	1.05060556634615	1.229904635	1.429904635	0.1955773576

80	-45	1.83555296543272	1.787959504	-0.5879595036	0.2271020105
80	-40	1.75690394578735	1.833754284	-0.4191527275	0.2351768658
80	-35	1.68122308956155	1.863032582	-0.2544056891	0.2403394199
80	-30	1.60908495639273	1.877539986	-0.09532308178	0.2428974665
80	-25	1.54092849650189	1.879057243	0.05693504651	0.2431649999
80	-20	1.47706911853973	1.869321395	0.2016077712	0.2414483072
80	-15	1.41771880986618	1.849970881	0.3382763925	0.2380362896
80	-10	1.36298068286971	1.822483154	0.4668105385	0.2331894615
80	-5	1.31287988951369	1.788161825	0.5873004436	0.2271376852
80	0	1.26738286573264	1.748128472	0.7000000000	0.2200787250
80	5	1.22640334331022	1.703313404	0.8052762815	0.2121766193
80	10	1.18983118795732	1.654478359	0.9035656833	0.2035656833
80	15	1.15753456412347	1.602219950	0.9953389455	0.1943511159
80	20	1.12937896818820	1.546994189	1.081074720	0.1846133242
80	25	1.10523419505360	1.489131699	1.161239686	0.1744106060
80	30	1.08497767782778	1.428850978	1.236272362	0.1637814885
80	35	1.06850813253216	1.366280869	1.306576395	0.1527486901
80	40	1.05574253617211	1.301467339	1.372510948	0.1413203160
80	45	1.04661730228673	1.234383985	1.434383985	0.1294917107

85	-45	1.83770431925234	1.796973710	-0.5969737105	0.1134704966
85	-40	1.75873582099604	1.844254187	-0.4279631922	0.1176070022
85	-35	1.68258425240480	1.874766390	-0.2626217895	0.1202764741
85	-30	1.60985759212930	1.890192942	-0.1026282691	0.1216261225
85	-25	1.54103557206671	1.892282640	0.05076794255	0.1218089474
85	-20	1.47647801829435	1.882770374	0.1967127432	0.1209767319
85	-15	1.41643978470055	1.863316349	0.3347004852	0.1192747254
85	-10	1.36106050386116	1.835435325	0.4645267212	0.1168354518
85	-5	1.31039584105403	1.800479433	0.5862227925	0.1137772075
85	0	1.26443463226417	1.759623077	0.7000000000	0.1102027395
85	5	1.22310504152092	1.713849205	0.8061980447	0.1061980447
85	10	1.18630350589701	1.663968540	0.9052390584	0.1018340520
85	15	1.15389768533347	1.610620866	0.9975899640	0.09716673521
85	20	1.12574761532612	1.554299780	1.083733738	0.09223927875
85	25	1.10171297954259	1.495366936	1.164147225	0.08708332297
85	30	1.08165742525847	1.434065550	1.239282997	0.08172014665
85	35	1.06546364610930	1.370543991	1.309561465	0.07616273031
85	40	1.05303079440421	1.304862809	1.375360087	0.07041637152
85	45	1.04427654383854	1.237006062	1.437006062	0.06447967539

90	-45	1.83841591652746	1.799956361	-0.5999563612	0.000000000
90	-40	1.75934330281348	1.847735161	-0.4308840762	0.000000000
90	-35	1.68303682654383	1.878663057	-0.2653502652	0.000000000
90	-30	1.61011535158588	1.894400797	-0.1050576758	0.000000000
90	-25	1.54107212954110	1.896685671	0.04871477540	0.000000000
90	-20	1.47628191206830	1.887251219	0.1950818488	0.000000000
90	-15	1.41601397315473	1.867764467	0.3335086156	0.000000000
90	-10	1.36042044913038	1.839752606	0.4637654681	0.000000000
90	-5	1.30956743389295	1.804584134	0.5858636776	0.000000000
90	0	1.26345137366046	1.763451374	0.7000000000	0.000000000
90	5	1.22200541956191	1.717355320	0.8065047900	0.000000000
90	10	1.18512822062414	1.667123460	0.9057953558	0.000000000
90	15	1.15268720149242	1.613410338	0.9983374008	0.000000000
90	20	1.12454041112298	1.556722326	1.084615473	0.000000000
90	25	1.10054399700730	1.497431594	1.165109991	0.000000000
90	30	1.08055683204505	1.435789667	1.240278416	0.000000000
90	35	1.06445609492236	1.371951386	1.310546934	0.000000000
90	40	1.05213486260285	1.305982065	1.376299253	0.000000000
90	45	1.04350448190929	1.237869095	1.437869095	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	1.12189704039560	1.147727558	1.347727558	0.6477275583
40	45	1.12778994906841	1.075481443	1.385832078	0.6858320777
35	45	1.13596550376311	1.004042214	1.419846884	0.7198468837
30	45	1.14613281769102	0.9331974864	1.450320056	0.7503200562
25	45	1.15809056545716	0.8626509800	1.477707536	0.7777075364
20	45	1.17171286540120	0.7920418968	1.502378517	0.8023785171
15	45	1.18694050312307	0.7209570315	1.524622868	0.8246228678
10	45	1.20377686850449	0.6489361256	1.544658742	0.8446587416
5	45	1.22227985012402	0.5754706293	1.562633241	0.8626332408
0	45	1.24255997492981	0.5000000000	1.578622584	0.8786225843
-5	45	1.26478383191755	0.4219049289	1.592630747	0.8926307471
-10	45	1.28917291777710	0.3404983310	1.604578916	0.9045789157
-15	45	1.31600869138568	0.2550160492	1.614292552	0.9142925515
-20	45	1.34564056946620	0.1646077414	1.621482657	0.9214826572
-25	45	1.37848616838830	0.06833310377	1.625712646	0.9257126463
-30	45	1.41504159414286	-0.03483545042	1.626362174	0.9263621738
-35	45	1.45587650386383	-0.1459907580	1.622570413	0.9225704133
-40	45	1.50163075569388	-0.2662425396	1.613172299	0.9131722994
-45	45	1.55298541981000	-0.3966165502	1.596616550	0.8966165502

45	50	1.10251499122685	1.170461860	1.370461860	0.5625842996
40	50	1.10627364029786	1.098180082	1.412883262	0.5981800823
35	50	1.11270501239992	1.025957955	1.451145805	0.6302861680
30	50	1.12153860962660	0.9536418958	1.485730812	0.6593064345
25	50	1.13257859242308	0.8809931752	1.517042501	0.6855800611
20	50	1.14569710128388	0.8077037745	1.545409172	0.7093825247
15	50	1.16082841849416	0.7334065662	1.571085164	0.7309272396
10	50	1.17796797496586	0.6576812535	1.594254826	0.7503688948
5	50	1.19716641105364	0.5800547479	1.615029956	0.7678012982
0	50	1.21852768521412	0.5000000000	1.633446362	0.7832544981
-5	50	1.24221276717620	0.4169329936	1.649460228	0.7966917268
-10	50	1.26843623040492	0.3302087841	1.662933836	0.8079974265
-15	50	1.29747019530504	0.2391190135	1.673621096	0.8169651029
-20	50	1.32964775140479	0.1428919726	1.681146242	0.8232794495
-25	50	1.36535813673596	0.04070107340	1.684969727	0.8264877344
-30	50	1.40505188581445	-0.06831784091	1.684355375	0.8259722324
-35	50	1.44922364794707	-0.1850249597	1.678317031	0.8209054597
-40	50	1.49840308882383	-0.3102108288	1.665571666	0.8102108288
-45	50	1.55311024116214	-0.4444780248	1.644478025	0.7925111623

45	55	1.08679421182517	1.188687662	1.388687662	0.4822242922
40	55	1.08856948355300	1.116614719	1.434852806	0.5145494746
35	55	1.09331599613787	1.043971515	1.476871835	0.5439715153
30	55	1.10080027970703	0.9706307099	1.515156301	0.5707785869
25	55	1.11084955356342	0.8963854941	1.550051435	0.5952124228
20	55	1.12334985312226	0.8209616135	1.581834786	0.6174673643
15	55	1.13824259561596	0.7440251713	1.610714338	0.6376890444
10	55	1.15552544343369	0.6651882587	1.636829169	0.6559748459
5	55	1.17524924090103	0.5840105538	1.660245024	0.6723708044
0	55	1.19751476485100	0.5000000000	1.680946668	0.6868662513
-5	55	1.22247742170514	0.4126134256	1.698833116	0.6993904772
-10	55	1.25034177770000	0.3212572624	1.713700438	0.7098006881
-15	55	1.28136404488769	0.2252913555	1.725226619	0.7178714067
-20	55	1.31585097279446	0.1240372933	1.732949047	0.7232787095
-25	55	1.35415179033449	0.01679673928	1.736232737	0.7255779735
-30	55	1.39665676410230	-0.09711972874	1.734241708	0.7241838405
-35	55	1.44377401817960	-0.2183393851	1.725894961	0.7183393851
-40	55	1.49591241364023	-0.3473520766	1.709834881	0.7070939964
-45	55	1.55343760884324	-0.4843936440	1.684393644	0.6892798501

45	60	1.07415598944388	1.203200161	1.403200161	0.4059928025
40	60	1.07416030161469	1.131454675	1.452538378	0.4344782350
35	60	1.07735538964817	1.058622121	1.497795068	0.4606071975
30	60	1.08355375448241	0.9845799705	1.539317129	0.4845799705
25	60	1.09261635279175	0.9091341069	1.577390924	0.5065618859
20	60	1.10445374626755	0.8320281508	1.612239847	0.5266819213
15	60	1.11902429662413	0.7529494268	1.644020113	0.5450302661
10	60	1.13633657533750	0.6715343085	1.672819405	0.5616575455
5	60	1.15644719812480	0.5873705782	1.698650278	0.5765710069
0	60	1.17945739322816	0.5000000000	1.721440065	0.5897286966
-5	60	1.20551798873467	0.4089220815	1.741025372	0.6010362788
-10	60	1.23482168274221	0.3135989917	1.757132650	0.6103358199
-15	60	1.26760465104883	0.2134647828	1.769363989	0.6173975868
-20	60	1.30414059912926	0.1079406738	1.777174146	0.6219067830
-25	60	1.34473142101945	-0.003539497180	1.779843936	0.6234481874
-30	60	1.38969865435959	-0.1214921319	1.776455949	0.6214921319
-35	60	1.43936048815688	-0.2463262507	1.765864347	0.6153770678
-40	60	1.49400602542152	-0.3782647135	1.746675128	0.6042981667
-45	60	1.55386091690885	-0.5172407530	1.717240753	0.5873042226

45	65	1.06413825974249	1.214614529	1.414614529	0.3332302277
40	65	1.06262136175184	1.143233082	1.466575336	0.3574599497
35	65	1.06445040745060	1.070350957	1.514545582	0.3798288430
30	65	1.06948532537084	0.9958378135	1.558816285	0.4004726108
25	65	1.07762536281046	0.9194997477	1.599620112	0.4194997477
20	65	1.08881141493885	0.8410868481	1.637128413	0.4369901558
15	65	1.10302568073690	0.7602982556	1.671446315	0.4529928561
10	65	1.12029286515946	0.6767869275	1.702608488	0.4675240161
5	65	1.14067988684543	0.5901634063	1.730572450	0.4805638256
0	65	1.16429142108527	0.5000000000	1.755206381	0.4920508165
-5	65	1.19127489602894	0.4058373837	1.776283629	0.5018792984
-10	65	1.22181041820852	0.3071931755	1.793461839	0.5098896292
-15	65	1.25611179415827	0.2035756152	1.806270865	0.5158625762
-20	65	1.29441632521141	0.09450426540	1.814090374	0.5195088735
-25	65	1.33697574851648	-0.02046008613	1.816130257	0.5204600861
-30	65	1.38404090262808	-0.1416729605	1.811410169	0.5182590734
-35	65	1.43584333882894	-0.2693497195	1.798745268	0.5123533330
-40	65	1.49256251272121	-0.4034879394	1.776734998	0.5020897752
-45	65	1.55430237705342	-0.5437807790	1.743780779	0.4867229707

45	70	1.05637922189255	1.223399067	1.423399067	0.2632957279
40	70	1.05360936093441	1.152364458	1.477457687	0.2829714563
35	70	1.05429181874325	1.079508502	1.527623912	0.3012304691
30	70	1.05832991311725	1.004686805	1.574143187	0.3181621007
25	70	1.06565969159946	0.9276983032	1.617201971	0.3338342163
20	70	1.07625397422341	0.8482925510	1.656925919	0.3482925510
15	70	1.09012039060273	0.7661734804	1.693372952	0.3615581862
10	70	1.10730247760602	0.6810046025	1.726528112	0.3736256773
5	70	1.12787993709393	0.5924139927	1.756296770	0.3844605829
0	70	1.15196291524218	0.5000000000	1.782491051	0.3939945214
-5	70	1.17969675138739	0.4033403438	1.804824926	0.4021233872
-10	70	1.21124955552264	0.3020037444	1.822892565	0.4086994698
-15	70	1.24681262554721	0.1955671513	1.836158859	0.4135280060
-20	70	1.28658727772532	0.08364031561	1.843938831	0.4163596844
-25	70	1.33077693294983	-0.03410205964	1.845385563	0.4168862517
-30	70	1.37956644840152	-0.1578751804	1.839473237	0.4147343412
-35	70	1.43310917446281	-0.2877315712	1.824997273	0.4094655211
-40	70	1.49149040269904	-0.4234877406	1.800569833	0.4005746598
-45	70	1.55471282180453	-0.5646534704	1.764653470	0.3875021730

45	75	1.05060556981927	1.229904638	1.429904638	0.1955773582
40	75	1.04685899463977	1.159165250	1.485562555	0.2104908523
35	75	1.04663446414285	1.086366504	1.537418154	0.2243855180
30	75	1.04987145237880	1.011348787	1.585682080	0.2373177981
25	75	1.05653824091630	0.9339012987	1.630504338	0.2493278859
20	75	1.06663656020444	0.8537693482	1.671973296	0.2604394597
15	75	1.08019783322019	0.7706574013	1.710107173	0.2706574013
10	75	1.09728396000883	0.6842349841	1.744848516	0.2799663161
5	75	1.11798759107288	0.5941428392	1.776057576	0.2883287585
0	75	1.14242504363102	0.5000000000	1.803497854	0.2956813589
-5	75	1.17074039062316	0.4014149842	1.826831887	0.3019336941
-10	75	1.20309064684452	0.2979999760	1.845599063	0.3069623439
-15	75	1.23964730698047	0.1893904910	1.859210469	0.3106095090
-20	75	1.28057974539896	0.07527251671	1.866929170	0.3126777287
-25	75	1.32604887106575	-0.04458447883	1.867865184	0.3129285328
-30	75	1.37618319943826	-0.1702816889	1.860961940	0.3110788144
-35	75	1.43107073606014	-0.3017430851	1.845007789	0.3068039123
-40	75	1.49072128488105	-0.4386475869	1.818636634	0.2997377827
-45	75	1.55505822251759	-0.5803713983	1.780371398	0.2894846437

45	80	1.04661730449286	1.234383986	1.434383986	0.1294917110
40	80	1.04217356134525	1.163867474	1.491166447	0.1395039908
35	80	1.04129450756741	1.091127619	1.544217731	0.1488583635
30	80	1.04394664288103	1.015991936	1.593724249	0.1575876984
25	80	1.05012304419804	0.9382405336	1.639809857	0.1657138346
20	80	1.05984822912246	0.8576136787	1.682535507	0.1732475194
15	80	1.07317284544459	0.7738144901	1.721889589	0.1801867059
10	80	1.09017401218600	0.6865155494	1.757782244	0.1865155494
5	80	1.11095541644268	0.5953660603	1.790039057	0.1922032957
0	80	1.13563908962694	0.5000000000	1.818386180	0.1972016584
-5	80	1.16436800729462	0.4000489237	1.842446029	0.2014440590
-10	80	1.19729096362507	0.2951580396	1.861716486	0.2048419604
-15	80	1.23456374905482	0.1850074572	1.875568174	0.2072843867
-20	80	1.27633067845670	0.06934087675	1.883226217	0.2086347063
-25	80	1.32271954543495	-0.05200133225	1.883770677	0.2087307094
-30	80	1.37381595321955	-0.1790365750	1.876125848	0.2073827197
-35	80	1.42965888593218	-0.3115963804	1.859079753	0.2043770332
-40	80	1.49020334068844	-0.4492636961	1.831288420	0.1994766714
-45	80	1.55531664790769	-0.5913250097	1.791325010	0.1924300439

45	85	1.04427654486177	1.237006063	1.437006063	0.06447967546
40	85	1.03941501158420	1.166627620	1.494455861	0.06950588151
35	85	1.03814102482279	1.093929944	1.548219866	0.07420962244
30	85	1.04043768169447	1.018732029	1.598470230	0.07860595965
25	85	1.04631359144500	0.9408076867	1.645315135	0.08270435776
20	85	1.05580777710740	0.8598933362	1.688798815	0.08650868679
15	85	1.06898331779491	0.7756905670	1.728891203	0.09001631627
10	85	1.08592732036533	0.6878732547	1.765482174	0.09321761138
5	85	1.10675082737738	0.5960954046	1.798375501	0.09609540460
0	85	1.13157982152233	0.5000000000	1.827273819	0.09862367982
-5	85	1.16055646467273	0.3992328352	1.851773964	0.1007671648
-10	85	1.19382441369200	0.2934597704	1.871347849	0.1024796579
-15	85	1.23152951209234	0.1823888046	1.885341118	0.1037039103
-20	85	1.27380014900484	0.06579957523	1.892955863	0.1043701141
-25	85	1.32074312712485	-0.05642374085	1.893254563	0.1043962470
-30	85	1.37241723496840	-0.1842473987	1.885151260	0.1036872998
-35	85	1.42883110428952	-0.3174473002	1.867435732	0.1021373920
-40	85	1.48990649327818	-0.4555498126	1.838779922	0.09963033343
-45	85	1.55547718309292	-0.5977897764	1.797789776	0.09604416037

45	90	1.04350448256129	1.237869096	1.437869096	0.000000000
40	90	1.03850370977423	1.167537317	1.495539996	0.000000000
35	90	1.03709763944310	1.094854768	1.549540651	0.000000000
30	90	1.03927496124074	1.019637481	1.600038518	0.000000000
25	90	1.04504956846454	0.9416570321	1.647136562	0.000000000
20	90	1.05446545611594	0.8606484264	1.690873408	0.000000000
15	90	1.06758999850668	0.7763126240	1.731212751	0.000000000
10	90	1.08451378059875	0.6883238417	1.768037579	0.000000000
5	90	1.10535043407914	0.5963376381	1.801144242	0.000000000
0	90	1.13022731903386	0.5000000000	1.830227319	0.000000000
-5	90	1.15928635973912	0.3989615363	1.854874925	0.000000000
-10	90	1.19266946402536	0.2928951210	1.874550135	0.000000000
-15	90	1.23051905145768	0.1815182341	1.888590132	0.000000000
-20	90	1.27295805128550	0.06462270485	1.896189287	0.000000000
-25	90	1.32008608451948	-0.05789248639	1.896404298	0.000000000
-30	90	1.37195282732543	-0.1859764137	1.888146001	0.000000000
-35	90	1.42855664650790	-0.3193864304	1.870205097	0.000000000
-40	90	1.48980818135022	-0.4576302398	1.841259279	0.000000000
-45	90	1.55553009340625	-0.5999258774	1.799925877	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	1.55553008234692	-0.5999258696	1.799925870	1.347020695e-16
-90	40	1.62544300725023	-0.7451615833	1.744814625	1.524883147e-16
-90	35	1.69913630161123	-0.8918509750	1.674584545	1.704525841e-16
-90	30	1.77608891252225	-1.038138118	1.588044456	1.883675922e-16
-90	25	1.85566176839855	-1.181800711	1.484236551	2.059611857e-16
-90	20	1.93708773366104	-1.320267049	1.362523024	2.229184215e-16
-90	15	2.01952559285373	-1.450711927	1.222691686	2.388933117e-16
-90	10	2.10204061116702	-1.570105891	1.065015522	2.535148553e-16
-90	5	2.18364822074017	-1.675338780	0.8903174826	2.664021674e-16
-90	-2.84217e-14	2.26333679983389	-1.763336800	0.7000000000	2.771788167e-16
-90	-5	2.34009224581014	-1.831187488	0.4960475222	2.854881296e-16
-90	-10	2.41291194319933	-1.876254389	0.2810022382	2.910072331e-16
-90	-15	2.48082474822426	-1.896292695	0.05791530760	2.934612179e-16
-90	-20	2.54292425162248	-1.889567154	-0.1697313170	2.926375767e-16
-90	-25	2.59838186729393	-1.854933720	-0.3981236281	2.883962042e-16
-90	-30	2.64645930627488	-1.791900989	-0.6232296531	2.806769211e-16
-90	-35	2.68651039111499	-1.700660479	-0.8409190564	2.695031811e-16
-90	-40	2.71799550041861	-1.582105350	-1.047093831	2.549843652e-16
-90	-45	2.74049346535808	-1.437821513	-1.237821513	2.373146913e-16

-85	45	1.55547716637392	-0.5977897646	1.797789765	0.09604415934
-85	40	1.62520129497982	-0.7421897699	1.742320978	0.1086775228
-85	35	1.69863379901460	-0.8878797761	1.671803881	0.1214237467
-85	30	1.77525329527252	-1.033020444	1.585089766	0.1341219098
-85	25	1.85442518886079	-1.175421415	1.481261836	0.1465803804
-85	20	1.93539491048592	-1.312561183	1.359718318	0.1585785554
-85	15	2.01733877850385	-1.441678685	1.220271236	0.1698748732
-85	10	2.09934332308925	-1.559818226	1.063201529	0.1802107437
-85	5	2.18045230954836	-1.663951757	0.8893212471	0.1893212471
-85	-2.84217e-14	2.25968086036604	-1.751082092	0.7000000000	0.1969441638
-85	-5	2.33604222743592	-1.818364249	0.4971694103	0.2028305897
-85	-10	2.40855963191598	-1.863212808	0.2833018208	0.2067543302
-85	-15	2.47628169451084	-1.883408992	0.06136748537	0.2085212673
-85	-20	2.53831462256119	-1.877215384	-0.1652356401	0.2079793968
-85	-25	2.59383478774390	-1.843457356	-0.3927721115	0.2050259521
-85	-30	2.64210061535670	-1.781586672	-0.6172746794	0.1996129687
-85	-35	2.68245663130689	-1.691718610	-0.8346578924	0.1917505320
-85	-40	2.71434368246128	-1.574653746	-1.040841193	0.1815086835
-85	-45	2.73731594683898	-1.431881415	-1.231881415	0.1690177231

-80	45	1.55531660614137	-0.5913249804	1.791324980	0.1924300388
-80	40	1.62447199290048	-0.7332185174	1.734793203	0.2174496977
-80	35	1.69712230383179	-0.8759226904	1.663431440	0.2426122937
-80	30	1.77274642267434	-1.017650807	1.576216102	0.2676027845
-80	25	1.85072409961716	-1.156309479	1.472349794	0.2920520495
-80	20	1.93033930582798	-1.289526893	1.351334523	0.3155418740
-80	15	2.01081929854032	-1.414729128	1.213050124	0.3376184060
-80	10	2.09131395984591	-1.529175847	1.057798450	0.3577984504
-80	5	2.17094754703794	-1.630074332	0.8863573565	0.3755895756
-80	-2.84217e-14	2.24881331767576	-1.714648790	0.7000000000	0.3905023345
-80	-5	2.32400322586890	-1.780248376	0.5005041171	0.4020693114
-80	-10	2.39561298466349	-1.824433394	0.2901396777	0.4098603223
-80	-15	2.46275243942414	-1.845065931	0.07164147751	0.4134983952
-80	-20	2.52456664606595	-1.840407147	-0.1518385374	0.4126769258
-80	-25	2.58024888659399	-1.809199242	-0.3767972907	0.4071741302
-80	-30	2.62905052844383	-1.750734005	-0.5994618837	0.3968651315
-80	-35	2.67028782189674	-1.664905614	-0.8158832308	0.3817312705
-80	-40	2.70335109625894	-1.552249990	-1.022042210	0.3618670444
-80	-45	2.72772407517338	-1.413972635	-1.213972635	0.3374850159

-75	45	1.55505815620182	-0.5803713522	1.780371352	0.2894846314
-75	40	1.62326277566639	-0.7180957135	1.722103664	0.3263877627
-75	35	1.69461395351527	-0.8558702075	1.649390540	0.3633043271
-75	30	1.76859457262704	-0.9920041080	1.561408973	0.3997812958
-75	25	1.84461156730717	-1.124568803	1.457548874	0.4353018987
-75	20	1.92201372888070	-1.251436326	1.337470690	0.4692959493
-75	15	2.00010756602549	-1.370326839	1.201152566	0.5011525662
-75	10	2.07815102026061	-1.478843297	1.048923464	0.5302294635
-75	5	2.15538521612089	-1.574547705	0.8814994061	0.5558733821
-75	-2.84217e-14	2.23103100797518	-1.655010470	0.7000000000	0.5774333151
-75	-5	2.30430021982458	-1.717877666	0.5059608472	0.5942785294
-75	-10	2.37440006644986	-1.760935616	0.3013360493	0.6058158724
-75	-15	2.44053738083844	-1.782178541	0.08849210306	0.6115078969
-75	-20	2.50192600158346	-1.779881782	-0.1298091063	0.6108924823
-75	-25	2.55779393942451	-1.752676017	-0.3504400779	0.6036027195
-75	-30	2.60738964602922	-1.699620039	-0.5699512217	0.5893864131
-75	-35	2.64999165362529	-1.620273308	-0.7846313535	0.5681255207
-75	-40	2.68492226150853	-1.514764551	-0.9905881919	0.5398545345
-75	-45	2.71155882217566	-1.383846247	-1.183846247	0.5047750805

-70	45	1.55471267543741	-0.5646533702	1.764653370	0.3875021366
-70	40	1.62157784920664	-0.6965612777	1.704034127	0.4355126886
-70	35	1.69112190796493	-0.8275384521	1.629552431	0.4831844814
-70	30	1.76284007314197	-0.9560437357	1.540647243	0.5299565796
-70	25	1.83618154298889	-1.080381940	1.436944201	0.5752119848
-70	20	1.91058035804282	-1.198747609	1.318293565	0.6182935652
-70	15	1.98544702698622	-1.309239963	1.184784387	0.6585094931
-70	10	2.06018566934076	-1.409901357	1.036767140	0.6951472444
-70	5	2.13417878777659	-1.498728842	0.8748661151	0.7274778048
-70	-2.84217e-14	2.20681198897984	-1.573724942	0.7000000000	0.7547741528
-70	-5	2.27745035177098	-1.632907388	0.5133947832	0.7763148017
-70	-10	2.34544257808923	-1.674349637	0.3166034934	0.7913985469
-70	-15	2.41012038570267	-1.696223852	0.1115235926	0.7993601098
-70	-20	2.47079372876402	-1.696848157	-0.09958733847	0.7995873385
-70	-25	2.52675035928822	-1.674747181	-0.3141012650	0.7915432409
-70	-30	2.57725664304435	-1.628723103	-0.5290188565	0.7747918465
-70	-35	2.62156350122822	-1.557939369	-0.7409846595	0.7490286743
-70	-40	2.65891680690734	-1.462013044	-0.9463244215	0.7141143472
-70	-45	2.68857154563151	-1.341109809	-1.141109809	0.6701091685

-65	45	1.55430219748294	-0.5437806584	1.743780658	0.4867229144
-65	40	1.61943598631181	-0.6682615556	1.680287840	0.5447693101
-65	35	1.68667580131762	-0.7906888976	1.603750096	0.6018581172
-65	30	1.75554226832544	-0.9097325637	1.513909475	0.6573690904
-65	25	1.82555530457800	-1.024004839	1.410655128	0.7106551275
-65	20	1.89624997972219	-1.132082205	1.294029342	0.7610524309
-65	15	1.96716542989474	-1.232503278	1.164222854	0.8078795464
-65	10	2.03785730489675	-1.323784740	1.021582457	0.8504447909
-65	5	2.10788192137539	-1.404412500	0.8666145044	0.8880421332
-65	-2.84217e-14	2.17679452323039	-1.472845827	0.7000000000	0.9199531176
-65	-5	2.24414008243878	-1.527517947	0.5226151646	0.9454471456
-65	-10	2.30943103937541	-1.566830232	0.3355620655	0.9637787654
-65	-15	2.37214533234920	-1.589173336	0.1402076917	0.9741975260
-65	-20	2.43171568388838	-1.592951846	-0.06177217358	0.9759594738
-65	-25	2.48752035218660	-1.576624600	-0.2683459541	0.9683459541
-65	-30	2.53887523222370	-1.538763267	-0.4770805209	0.9506909245
-65	-35	2.58502948295627	-1.478132876	-0.6851035513	0.9224185089
-65	-40	2.62516952193629	-1.393797998	-0.8890852020	0.8830925097
-65	-45	2.65843312847634	-1.285251984	-1.085251984	0.8324766717

-60	45	1.55386051439498	-0.5172404895	1.717240490	0.5873040705
-60	40	1.61686103022474	-0.6327452476	1.650486119	0.6539907736
-60	35	1.68131710144239	-0.7450362294	1.571783753	0.7188220022
-60	30	1.74679375208630	-0.8530606222	1.481189914	0.7811899145
-60	25	1.81290038167905	-0.9557921782	1.378847041	0.8405020060
-60	20	1.87928904302231	-1.052226478	1.264964235	0.8961783752
-60	15	1.94564851771119	-1.141368591	1.139803388	0.9476445977
-60	10	2.01169112192967	-1.222211714	1.003672392	0.9943193965
-60	5	2.07714096283638	-1.293715618	0.8569297821	1.035602195
-60	-2.84217e-14	2.14173672792810	-1.354798415	0.7000000000	1.070868364
-60	-5	2.20519723931880	-1.404298649	0.5333954563	1.099447337
-60	-10	2.26720745374150	-1.440959619	0.3577564507	1.120613559
-60	-15	2.32741126911587	-1.463427474	0.1739011939	1.133585381
-60	-20	2.38538946643558	-1.470247581	-0.01711147364	1.137522971
-60	-25	2.44064240967104	-1.459880513	-0.2139072922	1.131537542
-60	-30	2.49257310587622	-1.430738826	-0.4147125807	1.114712581
-60	-35	2.54047249628270	-1.381251487	-0.6172664726	1.086141053
-60	-40	2.58351239853865	-1.309964701	-0.8187407132	1.044983607
-60	-45	2.62074350590946	-1.215679356	-1.015679356	0.9905479381

-55	45	1.55343725745533	-0.4843934214	1.684393421	0.6892796942
-55	40	1.61389995959197	-0.5894838893	1.614185530	0.7628648320
-55	35	1.67510941879292	-0.6902737480	1.533438651	0.8334386509
-55	30	1.73670902431338	-0.7860546374	1.442503991	0.9005051516
-55	25	1.79841775362963	-0.8761967925	1.341731103	0.9636233682
-55	20	1.86001874495922	-0.9601232436	1.231441399	1.022389302
-55	15	1.92134162893325	-1.037276303	1.111911944	1.076412456
-55	10	1.98226249312930	-1.107096870	0.9833745388	1.125301343
-55	5	2.04266852077762	-1.168975580	0.8460164429	1.168629282
-55	-2.84217e-14	2.10245807407385	-1.222232829	0.7000000000	1.205920410
-55	-5	2.16151860204118	-1.266082810	0.5454877752	1.236624497
-55	-10	2.21970641938940	-1.299601845	0.3826816403	1.260094777
-55	-15	2.27683170059947	-1.321705919	0.2118753700	1.275572217
-55	-20	2.33263915036976	-1.331132429	0.03352230087	1.282172730
-55	-25	2.38677985067164	-1.326427018	-0.1516769056	1.278877966
-55	-30	2.43878789212031	-1.305952773	-0.3426673196	1.264541745
-55	-35	2.48805443153846	-1.267923838	-0.5379135987	1.237913599
-55	-40	2.53380109420903	-1.210474961	-0.7352589091	1.197687462
-55	-45	2.57505652033865	-1.131780547	-0.9317805473	1.142585040

-50	45	1.55310969452709	-0.4444776924	1.644477692	0.7925108834
-50	40	1.61061861053231	-0.5378834018	1.570887580	0.8708875797
-50	35	1.66814588719484	-0.6261032992	1.488506019	0.9449128630
-50	30	1.72544208298735	-0.7088152803	1.397909827	1.014316456
-50	25	1.78234836441382	-0.7857865890	1.299572133	1.078903053
-50	20	1.83878708845345	-0.8568398391	1.193849314	1.138523809
-50	15	1.89473123462802	-0.9218055325	1.080971644	1.193036498
-50	10	1.95019266972109	-0.9804894903	0.9610502418	1.242278185
-50	5	2.00520397575348	-1.032637140	0.8340883751	1.286035259
-50	-2.84217e-14	2.05980937762961	-1.077905528	0.7000000000	1.324019946
-50	-5	2.11404260967234	-1.115825751	0.5586335646	1.355838792
-50	-10	2.16791045461789	-1.145770028	0.4098063401	1.380965023
-50	-15	2.22138441045118	-1.166925940	0.2533485405	1.398716942
-50	-20	2.27437424805697	-1.178259331	0.08916355816	1.408226786
-50	-25	2.32670150511489	-1.178483091	-0.08268951938	1.408414543
-50	-30	2.37807195260849	-1.166036630	-0.2618866971	1.397970722
-50	-35	2.42803828184200	-1.139078417	-0.4476950631	1.375350095
-50	-40	2.47595636347040	-1.095507463	-0.6387897238	1.338789724
-50	-45	2.52093722387155	-1.033033359	-0.8330333590	1.286367726

-45	45	1.55298517038957	-0.3966164062	1.596616406	0.8966164062
-45	40	1.60711896535177	-0.4773218319	1.520070389	0.9773218319
-45	35	1.66055515592302	-0.5522726705	1.436809256	1.052272670
-45	30	1.71317762139667	-0.6215380184	1.347520277	1.121538018
-45	25	1.76497024610567	-0.6852532979	1.252692690	1.185253298
-45	20	1.81598247474290	-0.7435685979	1.152621954	1.243568598
-45	15	1.86631499787593	-0.7966159818	1.047427205	1.296615982
-45	10	1.91610180092298	-0.8444785145	0.9370678371	1.344478515
-45	5	1.96549254776873	-0.8871612184	0.8213608811	1.387161218
-45	-2.84217e-14	2.01464297835923	-0.9245677117	0.7000000000	1.424567712
-45	-5	2.06370466335308	-0.9564751612	0.5725749347	1.456475161
-45	-10	2.11281191532985	-0.9825048565	0.4385943948	1.482504857
-45	-15	2.16207745626196	-1.002095941	0.2975146056	1.502095941
-45	-20	2.21156667237392	-1.014461127	0.1487812287	1.514461127
-45	-25	2.26127854824491	-1.018545631	-0.008109457188	1.518545631
-45	-30	2.31111866834696	-1.012982320	-0.1735207495	1.512982320
-45	-35	2.36085316597073	-0.9960426076	-0.3475403113	1.496042608
-45	-40	2.41005274139896	-0.9656022429	-0.5297863015	1.465602243
-45	-45	2.45802434771785	-0.9191410188	-0.7191410188	1.419141019


### -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	2.74049348569869	-1.437821528	-1.237821528	2.373146931e-16
-40	-90	2.75369735828879	-1.270042543	-1.409454559	2.583336774e-16
-35	-90	2.75742263616247	-1.081592649	-1.558748389	2.766168985e-16
-30	-90	2.75163945631226	-0.8758197282	-1.682989671	2.918320673e-16
-25	-90	2.73642590243860	-0.6564635583	-1.780044104	3.037178074e-16
-20	-90	2.71199155420872	-0.4275557401	-1.848438451	3.120936992e-16
-15	-90	2.67865610727481	-0.1932872158	-1.887383114	3.168630448e-16
-10	-90	2.63685560557392	0.04211482932	-1.896795844	3.180157718e-16
-5	-90	2.58714818347613	0.2745151785	-1.877303304	3.156286241e-16
-2.84217e-14	-90	2.53020146046401	0.5000000000	-1.830201460	3.098603120e-16
5	-90	2.46677943491183	0.7149939938	-1.757392594	3.009437975e-16
10	-90	2.39773281675383	0.9163619342	-1.661305868	2.891765673e-16
15	-90	2.32398204898895	1.101490815	-1.544794281	2.749080131e-16
20	-90	2.24650574925929	1.268350218	-1.411024875	2.585259856e-16
25	-90	2.16631532602256	1.415524417	-1.263348449	2.404408394e-16
30	-90	2.08441421630099	1.542207108	-1.105155663	2.210678105e-16
35	-90	2.00182501877856	1.648199660	-0.9397990564	2.008174666e-16
40	-90	1.91952087127143	1.733844233	-0.7704382969	1.800767554e-16
45	-90	1.83841591424573	1.799956360	-0.5999563596	1.591987395e-16

-45	-85	2.73731597733098	-1.431881436	-1.231881436	0.1690177250
-40	-85	2.74992493289933	-1.263661187	-1.401849556	0.1838880086
-35	-85	2.75309611700248	-1.075071386	-1.549435061	0.1968000671
-30	-85	2.74683125851853	-0.8694903383	-1.672026846	0.2075254586
-25	-85	2.73123383654069	-0.6506577753	-1.767593562	0.2158864629
-20	-85	2.70653359826849	-0.4225764646	-1.834758004	0.2217625901
-15	-85	2.67306687107810	-0.1893833692	-1.872813760	0.2250920373
-10	-85	2.63127674558421	0.04477015464	-1.881736746	0.2258726975
-5	-85	2.58171972437505	0.2758380700	-1.862182584	0.2241619300
-2.84217e-14	-85	2.52505354810759	0.5000000000	-1.815444957	0.2200729175
5	-85	2.46202517110840	0.7137692596	-1.743393818	0.2137692596
10	-85	2.39346101577440	0.9140860097	-1.648398459	0.2054582426
15	-85	2.32025533501256	1.098393350	-1.533234386	0.1953826918
20	-85	2.24335580598378	1.264692989	-1.400976721	0.1838116454
25	-85	2.16374383381485	1.411576531	-1.254882179	0.1710300292
30	-85	2.08239538022673	1.538221895	-1.098253071	0.1573267579
35	-85	2.00031080191456	1.644396045	-0.9343669304	0.1429885785
40	-85	1.91844580653416	1.730393007	-0.7663252868	0.1282868396
45	-85	1.83770431541571	1.796973708	-0.5969737078	0.1134704963

-45	-80	2.72772412019995	-1.413972667	-1.213972667	0.3374850214
-40	-80	2.73856844403881	-1.244475759	-1.378985252	0.3665811925
-35	-80	2.74010997635715	-1.055520244	-1.521513136	0.3917127038
-30	-80	2.73243366510932	-0.8505611091	-1.639240460	0.4124712074
-25	-80	2.71571872725334	-0.6333319755	-1.730438265	0.4285518410
-20	-80	2.69025449102161	-0.4077448815	-1.794008564	0.4397610000
-15	-80	2.65642033673210	-0.1777718829	-1.829479103	0.4460154130
-10	-80	2.61467913718292	0.05266011635	-1.836990549	0.4473398837
-5	-80	2.56558067063162	0.2797667510	-1.817277555	0.4438639508
-2.84217e-14	-80	2.50975284401441	0.5000000000	-1.771624059	0.4358140078
5	-80	2.44789091388350	0.7101305857	-1.701803585	0.4235027745
10	-80	2.38075283891888	0.9073179316	-1.610014780	0.4073179316
15	-80	2.30915523209552	1.089168991	-1.498808609	0.3877092831
20	-80	2.23395699199476	1.253781113	-1.370996588	0.3651725753
25	-80	2.15605312633612	1.399770630	-1.229564342	0.3402342545
30	-80	2.07634284068998	1.526274828	-1.077560145	0.3134318133
35	-80	1.99575913657373	1.632963190	-0.9180391209	0.2853039529
40	-80	1.91520523319857	1.719991090	-0.7539287648	0.2563668693
45	-80	1.83555295063524	1.787959493	-0.5879594932	0.2271020087

-45	-75	2.71155886181186	-1.383846274	-1.183846274	0.5047750879
-40	-75	2.71953065949953	-1.212379716	-1.340734679	0.5468132092
-35	-75	2.71845278790412	-1.022986020	-1.475049449	0.5828027433
-30	-75	2.70853490766992	-0.8192148785	-1.584947196	0.6122497558
-25	-75	2.69007414582605	-0.6047651853	-1.669176585	0.6348189528
-20	-75	2.66344674877886	-0.3833803897	-1.727067673	0.6503308231
-15	-75	2.62908882902705	-0.1587518771	-1.758495475	0.6587518771
-10	-75	2.58748694564730	0.06555856667	-1.763839803	0.6601838854
-5	-75	2.53917473697055	0.2861826725	-1.743943237	0.6548526167
-2.84217e-14	-75	2.48472799344824	0.5000000000	-1.700062940	0.6430949266
5	-75	2.42476157892201	0.7041828919	-1.633821133	0.6253454879
10	-75	2.35992961583198	0.8962343488	-1.547156658	0.6021238119
15	-75	2.29092334106733	1.074020183	-1.442272488	0.5740201832
20	-75	2.21847193074377	1.235796426	-1.321584066	0.5416818179
25	-75	2.14333447597376	1.380229013	-1.187657209	0.5057962248
30	-75	2.06629447219684	1.506406232	-1.043146727	0.4670747578
35	-75	1.98817038660588	1.613852599	-0.8907463697	0.4262392051
40	-75	1.90977863268196	1.702511243	-0.7330970938	0.3839972090
45	-75	1.83193389633796	1.772729829	-0.5727298287	0.3410269298

-45	-70	2.68857157406168	-1.341109829	-1.141109829	0.6701091756
-40	-70	2.69267071896334	-1.167223868	-1.286920034	0.7231797504
-35	-70	2.68812156764977	-0.9775693741	-1.410187757	0.7680455321
-30	-70	2.67529311631950	-0.7757696039	-1.509697773	0.8042642160
-25	-70	2.65462477020476	-0.5654231541	-1.584807327	0.8316018582
-20	-70	2.62658775562824	-0.3500047124	-1.635368754	0.8500047124
-15	-70	2.59167288195327	-0.1328058780	-1.661663688	0.8595752858
-10	-70	2.55037851758129	0.08310375056	-1.664336120	0.8605479715
-5	-70	2.50320620825032	0.2948972469	-1.644335195	0.8532682303
-2.84217e-14	-70	2.45066074337639	0.5000000000	-1.602867817	0.8381753387
5	-70	2.39325364318898	0.6960936776	-1.541360991	0.8157886850
10	-70	2.33150583923614	0.8811183451	-1.461429542	0.7866960166
15	-70	2.26595757507893	1.053276335	-1.364855392	0.7515459007
20	-70	2.19717899795256	1.211041349	-1.253570052	0.7110413495
25	-70	2.12575784036532	1.353164503	-1.129617181	0.6659261941
30	-70	2.05232649183728	1.478694910	-0.9951493092	0.6169838912
35	-70	1.97755122793203	1.586992927	-0.8523867816	0.5650225806
40	-70	1.90212866757267	1.677743083	-0.7035795506	0.5108611778
45	-70	1.82679233005429	1.750971090	-0.5509710904	0.4553162408

-45	-65	2.65843331605726	-1.285252110	-1.085252110	0.8324767304
-40	-65	2.65782096670392	-1.108849993	-1.217352759	0.8940762751
-35	-65	2.64914190505812	-0.9194560970	-1.327193396	0.9452958049
-30	-65	2.63295879323296	-0.7206998078	-1.414314088	0.9859208509
-25	-65	2.60983677201972	-0.5159614882	-1.478736442	1.015961488
-20	-65	2.58033444482761	-0.3083292762	-1.520866434	1.035607026
-15	-65	2.54497635054270	-0.1005779522	-1.541387431	1.045176124
-10	-65	2.50424873690777	0.1048190132	-1.541182746	1.045080678
-5	-65	2.45860026640019	0.3056634668	-1.521276739	1.035798354
-2.84217e-14	-65	2.40844614579647	0.5000000000	-1.482793497	1.017853324
5	-65	2.35417605983081	0.6860824715	-1.426932382	0.9918048581
10	-65	2.29616646619470	0.8623447290	-1.354959074	0.9582431535
15	-65	2.23479981843129	1.027380735	-1.268211698	0.9177921877
20	-65	2.17046302497896	1.179930778	-1.168094459	0.8711067522
25	-65	2.10356129223645	1.318877749	-1.056089000	0.8188777489
30	-65	2.03454509658382	1.443261556	-0.9337769399	0.7618426988
35	-65	1.96391052364671	1.552297260	-0.8028362337	0.7007840447
40	-65	1.89221157563820	1.645406188	-0.6650419391	0.6365295099
45	-65	1.82006413233306	1.722251208	-0.5222512079	0.5699450984

-45	-60	2.62074369475390	-1.215679480	-1.015679480	0.9905480095
-40	-60	2.61480227397210	-1.037134744	-1.131885854	1.057639791
-35	-60	2.60160505314082	-0.8489644610	-1.226520906	1.112277364
-30	-60	2.58188700702364	-0.6546549716	-1.299921076	1.154654972
-25	-60	2.55632319709024	-0.4572243774	-1.352774302	1.185169796
-20	-60	2.52551418193823	-0.2592366874	-1.385985655	1.204344379
-15	-60	2.48998174751211	-0.06284698883	-1.400573559	1.212766710
-10	-60	2.45017032323549	0.1301375128	-1.397594400	1.211046691
-5	-60	2.40645149104620	0.3181905249	-1.378091810	1.199786866
-2.84217e-14	-60	2.35913513034744	0.5000000000	-1.343070954	1.179567565
5	-60	2.30848611373496	0.6744081068	-1.293493783	1.150944172
10	-60	2.25473809916560	0.8403612530	-1.230284587	1.114450326
15	-60	2.19810669292988	0.9968702017	-1.154344838	1.070606491
20	-60	2.13880046036807	1.142980264	-1.066573758	1.019931835
25	-60	2.07704308524783	1.277756223	-0.9679036024	0.9629645938
30	-60	2.01310063816702	1.400285974	-0.8593410492	0.9002859745
35	-60	1.94728522518917	1.509691521	-0.7419889337	0.8325326990
40	-60	1.87998632800520	1.605166663	-0.6170863412	0.7604201536
45	-60	1.81166760474388	1.686014848	-0.4860148475	0.6847459915

-45	-55	2.57505624633569	-1.131780374	-0.9317803737	1.142584918
-40	-55	2.56346115715724	-0.9520597028	-1.030497368	1.211707302
-35	-55	2.54567972527258	-0.7665846494	-1.108870342	1.266584649
-30	-55	2.52256350582389	-0.5784843313	-1.167989657	1.307980439
-25	-55	2.49483360850882	-0.3902338299	-1.209112609	1.336775040
-20	-55	2.46308530975489	-0.2037485544	-1.233533262	1.353874566
-15	-55	2.42779515458429	-0.02048933225	-1.242492633	1.360147984
-10	-55	2.38933031686454	0.1584330385	-1.237122499	1.356387776
-5	-55	2.34796397236905	0.3321600672	-1.218419211	1.343291593
-2.84217e-14	-55	2.30389097111047	0.5000000000	-1.187236999	1.321457573
5	-55	2.25724835406692	0.6613552919	-1.144299426	1.291392361
10	-55	2.20813473637469	0.8156641286	-1.090220234	1.253525703
15	-55	2.15661765916269	0.9623522224	-1.025521985	1.208223501
20	-55	2.10274273202313	1.100792085	-0.9506626864	1.155806456
25	-55	2.04657382716133	1.230280869	-0.8660923781	1.096589689
30	-55	1.98819752107120	1.350024140	-0.7722849978	1.030905054
35	-55	1.92774231689635	1.459134333	-0.6697857866	0.9591343335
40	-55	1.86541713144943	1.556656169	-0.5592737855	0.8817529973
45	-55	1.80152257644735	1.641601931	-0.4416019309	0.7993582777

-45	-50	2.52093743356166	-1.033033487	-0.8330334866	1.286367833
-40	-50	2.50372619207255	-0.8538053201	-0.9134023539	1.353805320
-35	-50	2.48164985757214	-0.6730364020	-0.9752695993	1.405718103
-30	-50	2.45559203111656	-0.4932421538	-1.020345875	1.443541589
-25	-50	2.42624606238588	-0.3161757580	-1.050294561	1.468671521
-20	-50	2.39413394907184	-0.1430007128	-1.066629939	1.482378530
-15	-50	2.35963272391492	0.02555109548	-1.070667417	1.485766377
-10	-50	2.32300131937538	0.1890460796	-1.063507315	1.479758338
-5	-50	2.28440233776109	0.3472415768	-1.046036767	1.465098807
-2.84217e-14	-50	2.24391560933280	0.5000000000	-1.018939083	1.442361151
5	-50	2.20156136559967	0.6472188315	-0.9827189436	1.411968845
10	-50	2.15731774599010	0.7887757338	-0.9377285689	1.374217438
15	-50	2.11112756499684	0.9244822299	-0.8841892491	1.329292615
20	-50	2.06291284279742	1.054043532	-0.8222220926	1.277295997
25	-50	2.01259370928634	1.177025394	-0.7518856426	1.218276707
30	-50	1.96009684145409	1.292823394	-0.6732103999	1.152260340
35	-50	1.90539363553198	1.400649255	-0.5862604378	1.079300659
40	-50	1.84850477051632	1.499516481	-0.4911773569	0.9995164809
45	-50	1.78955149909522	1.588262778	-0.3882627778	0.9131608954

-45	-45	2.45802394897380	-0.9191407886	-0.7191407886	1.419140789
-40	-45	2.43566599300160	-0.7428560677	-0.7811781838	1.481178184
-35	-45	2.40997213183760	-0.5693350157	-0.8271686712	1.527168671
-30	-45	2.38174980572973	-0.4002168102	-0.8592212530	1.559221253
-25	-45	2.35157187731394	-0.2363844171	-0.8791814786	1.579181479
-20	-45	2.31982371359470	-0.07820114267	-0.8885945834	1.588594583
-15	-45	2.28674430178198	0.07430702604	-0.8887078073	1.588707807
-10	-45	2.25246258145465	0.2213162515	-0.8804940761	1.580494076
-5	-45	2.21702380447107	0.3631081239	-0.8646813036	1.564681304
-2.84217e-14	-45	2.18040233540689	0.5000000000	-0.8417772771	1.541777277
5	-45	2.14252021320205	0.6322915933	-0.8120998311	1.512099831
10	-45	2.10326115374259	0.7602239465	-0.7758033369	1.475803337
15	-45	2.06247120013061	0.8839430137	-0.7328948345	1.432894835
20	-45	2.01997829762305	1.003466601	-0.6832631175	1.383263118
25	-45	1.97559534451709	1.118649015	-0.6266970945	1.326697095
30	-45	1.92913094275267	1.229142960	-0.5629126529	1.262912653
35	-45	1.88040796733243	1.334360720	-0.4915905992	1.191590599
40	-45	1.82928874114558	1.433437761	-0.4124278054	1.112427805
45	-45	1.77570713999999	1.525204995	-0.3252049953	1.025204995