path: root/test/test_ah/h.t0.ah1.gp

# N_patches = 5
# origin = 0 0 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	0.997843081030651	-0.5761049714	-0.5761049714	0.5761049714
-40	-45	0.996277814408331	-0.5083742723	-0.6058568654	0.6058568654
-35	-45	0.995386093709423	-0.4416653579	-0.6307635005	0.6307635005
-30	-45	0.995117689779208	-0.3761191332	-0.6514574484	0.6514574484
-25	-45	0.995039005863077	-0.3115920995	-0.6682114137	0.6682114137
-20	-45	0.994846018364537	-0.2479589726	-0.6812616781	0.6812616781
-15	-45	0.994407241678270	-0.1851156580	-0.6908610408	0.6908610408
-10	-45	0.993705891725742	-0.1229452978	-0.6972574320	0.6972574320
-5	-45	0.992777696365513	-0.06129983861	-0.7006603614	0.7006603614
-2.38542e-15	-45	0.991673697902744	-2.919411365e-17	-0.7012191965	0.7012191965
5	-45	0.990422908435783	0.06115444038	-0.6989984521	0.6989984521
10	-45	0.989047539125450	0.1223689476	-0.6939887878	0.6939887878
15	-45	0.987579754949030	0.1838446750	-0.6861176677	0.6861176677
20	-45	0.986085493021641	0.2457754680	-0.6752625485	0.6752625485
25	-45	0.984696152147938	0.3083532802	-0.6612657433	0.6612657433
30	-45	0.983612564021310	0.3717706044	-0.6439255756	0.6439255756
35	-45	0.982931928219186	0.4361392877	-0.6228714543	0.6228714543
40	-45	0.982506866924064	0.5013473213	-0.5974824713	0.5974824713
45	-45	0.982092879167467	0.5670115882	-0.5670115882	0.5670115882

-45	-40	0.997806455379008	-0.6067864632	-0.5091542975	0.6067864632
-40	-40	0.995757837843883	-0.5384223972	-0.5384223972	0.6416668263
-35	-40	0.994298079666716	-0.4699888819	-0.5632151554	0.6712136849
-30	-40	0.993569577870201	-0.4018807583	-0.5840787024	0.6960778919
-25	-40	0.993233372474113	-0.3341182138	-0.6012306791	0.7165188218
-20	-40	0.992880453603773	-0.2666612867	-0.6147628742	0.7326458639
-15	-40	0.992306091258463	-0.1995219566	-0.6248154685	0.7446260793
-10	-40	0.991479289039191	-0.1327181217	-0.6315750803	0.7526818709
-5	-40	0.990449747424517	-0.06623156489	-0.6352238042	0.7570302508
-2.38542e-15	-40	0.989265993457533	-3.155066696e-17	-0.6358879233	0.7578217171
5	-40	0.987966660826178	0.06606552041	-0.6336312795	0.7551323537
10	-40	0.986582788969754	0.1320626826	-0.6284559960	0.7489646910
15	-40	0.985148323053826	0.1980827516	-0.6203085080	0.7392548930
20	-40	0.983732412022856	0.2642043660	-0.6090986713	0.7258955297
25	-40	0.982493599265427	0.3305054135	-0.5947296076	0.7087711465
30	-40	0.981654915813868	0.3970614950	-0.5770745625	0.6877306830
35	-40	0.981194089931099	0.4637948345	-0.5557924662	0.6623676684
40	-40	0.980910760778420	0.5303943421	-0.5303943421	0.6320993627
45	-40	0.980534002987336	0.5962827325	-0.5003406209	0.5962827325

-45	-35	0.998054302192956	-0.6324543103	-0.4428492756	0.6324543103
-40	-35	0.995346038203413	-0.5638087663	-0.4704842352	0.6719211228
-35	-35	0.993048685775316	-0.4940842357	-0.4940842357	0.7056254164
-30	-35	0.991455588543898	-0.4238820212	-0.5140820095	0.7341851971
-25	-35	0.990426170474569	-0.3534147047	-0.5306874893	0.7579002800
-20	-35	0.989517944366685	-0.2827233877	-0.5439044972	0.7767761236
-15	-35	0.988486393526823	-0.2119192890	-0.5537896281	0.7908935535
-10	-35	0.987322192867585	-0.1411427457	-0.5604883276	0.8004602879
-5	-35	0.986154171887273	-0.07049343684	-0.5641877916	0.8057436701
-2.38542e-15	-35	0.984956086900276	-3.359099632e-17	-0.5649476023	0.8068287921
5	-35	0.983751237676312	0.07032166746	-0.5628130511	0.8037803371
10	-35	0.982598672773014	0.1404674944	-0.5578068545	0.7966307474
15	-35	0.981523566270933	0.2104265447	-0.5498887737	0.7853225560
20	-35	0.980527579602252	0.2801546759	-0.5389627982	0.7697186460
25	-35	0.979756202688410	0.3496073300	-0.5249703358	0.7497353387
30	-35	0.979403292316269	0.4187292421	-0.5078327445	0.7252603218
35	-35	0.979339138999873	0.4872631493	-0.4872631493	0.6958838954
40	-35	0.979337136410175	0.5547406042	-0.4629170821	0.6611141081
45	-35	0.979124919243044	0.6204590012	-0.4344500698	0.6204590012

-45	-30	0.998826678575074	-0.6538855515	-0.3775209992	0.6538855515
-40	-30	0.995396747479244	-0.5851528203	-0.4026198150	0.6973579758
-35	-30	0.992136376459377	-0.5144350064	-0.4241730819	0.7346893291
-30	-30	0.989522602152156	-0.4425279607	-0.4425279607	0.7664809118
-25	-30	0.987649266442850	-0.3698288054	-0.4578967482	0.7931004326
-20	-30	0.986165665833338	-0.2964676099	-0.4702737705	0.8145380639
-15	-30	0.984830242747854	-0.2226155823	-0.4796699150	0.8308126637
-10	-30	0.983529028424094	-0.1484674307	-0.4861292965	0.8420006406
-5	-30	0.982264410259727	-0.07421091908	-0.4897285246	0.8482346865
-2.38542e-15	-30	0.981050552578494	-3.537231761e-17	-0.4905252763	0.8496147009
5	-30	0.979916121908592	0.07403350388	-0.4885577362	0.8462068215
10	-30	0.978898741272481	0.1477684713	-0.4838406826	0.8380366450
15	-30	0.978040258314200	0.2210807428	-0.4763627956	0.8250845648
20	-30	0.977411206493174	0.2938357868	-0.4660990230	0.8073071892
25	-30	0.977154957119687	0.3658991737	-0.4530313469	0.7846733102
30	-30	0.977316937996534	0.4370694218	-0.4370694218	0.7570264450
35	-30	0.977683291076721	0.5069409026	-0.4179938812	0.7239866395
40	-30	0.977995971567095	0.5749236196	-0.3955815188	0.6851672891
45	-30	0.977997998499968	0.6402499797	-0.3696484981	0.6402499797

-45	-25	1.00004565464248	-0.6715735933	-0.3131599096	0.6715735933
-40	-25	0.996028001875896	-0.6029223429	-0.3350583117	0.7185348682
-35	-25	0.991813461620621	-0.5314308239	-0.3539097331	0.7589618718
-30	-25	0.988230774487248	-0.4581663486	-0.3700465532	0.7935673942
-25	-25	0.985628744078527	-0.3836871548	-0.3836871548	0.8228197589
-20	-25	0.983654058516378	-0.3081446960	-0.3947856666	0.8466205942
-15	-25	0.981994699810344	-0.2317366783	-0.4032876039	0.8648530574
-10	-25	0.980503472015110	-0.1547275732	-0.4091866826	0.8775036726
-5	-25	0.979135991946130	-0.07739440072	-0.4125060356	0.8846220481
-2.38542e-15	-25	0.977904099733689	-3.689890479e-17	-0.4132801308	0.8862821006
5	-25	0.976836217931863	0.07721261838	-0.4115371501	0.8825442665
10	-25	0.975961126986743	0.1540107720	-0.4072910574	0.8734384913
15	-25	0.975322929820437	0.2301622362	-0.4005476276	0.8589771595
20	-25	0.975007089936977	0.3054359007	-0.3913152400	0.8391782403
25	-25	0.975126659601940	0.3795988864	-0.3795988864	0.8140524388
30	-25	0.975676770601798	0.4523460258	-0.3653456614	0.7834862993
35	-25	0.976355475519456	0.5231481673	-0.3483938453	0.7471330124
40	-25	0.976876162824194	0.5913292233	-0.3286157389	0.7047187263
45	-25	0.976989862850918	0.6560906392	-0.3059400895	0.6560906392

-45	-20	1.00135989585018	-0.6857223233	-0.2495825147	0.6857223233
-40	-20	0.996909084822308	-0.6172572862	-0.2677432699	0.7356185883
-35	-20	0.991882984832026	-0.5452044799	-0.2833991230	0.7786326912
-30	-20	0.987573045839942	-0.4709449091	-0.2968907058	0.8157005102
-25	-20	0.984432192238289	-0.3950979675	-0.3083884583	0.8472903257
-20	-20	0.982117968415166	-0.3178286731	-0.3178286731	0.8732271027
-15	-20	0.980200481107328	-0.2393344586	-0.3251012559	0.8932083595
-10	-20	0.978536818142485	-0.1599559934	-0.3301776062	0.9071555175
-5	-20	0.977080301305953	-0.08005807078	-0.3330574912	0.9150679363
-2.38542e-15	-20	0.975837212292387	-3.817725417e-17	-0.3337559832	0.9169870275
5	-20	0.974830369385748	0.07987372032	-0.3322905566	0.9129608009
10	-20	0.974080175015684	0.1592274907	-0.3286738470	0.9030239730
15	-20	0.973617085204970	0.2377269982	-0.3229177533	0.8872092355
20	-20	0.973497581080708	0.3150389815	-0.3150389815	0.8655624880
25	-20	0.973812129152578	0.3908356472	-0.3050615609	0.8381497502
30	-20	0.974489800636810	0.4647058894	-0.2929575345	0.8048942110
35	-20	0.975088585572931	0.5359731675	-0.2786006558	0.7654490108
40	-20	0.975597766704257	0.6040619341	-0.2620196166	0.7198929801
45	-20	0.975840047681128	0.6682465590	-0.2432218566	0.6682465590

-45	-15	1.00250486692316	-0.6964868384	-0.1866230859	0.6964868384
-40	-15	0.997725525084535	-0.6282278693	-0.2006116365	0.7486928202
-35	-15	0.992018749805391	-0.5557685954	-0.2126765826	0.7937198117
-30	-15	0.987236976464118	-0.4808421351	-0.2231596115	0.8328430084
-25	-15	0.983742954811924	-0.4040055808	-0.2321492414	0.8663927640
-20	-15	0.981338943221795	-0.3254788475	-0.2396124356	0.8942457839
-15	-15	0.979279632280826	-0.2453710536	-0.2453710536	0.9157372387
-10	-15	0.977548204087161	-0.1641312408	-0.2494163584	0.9308345219
-5	-15	0.976083016794715	-0.08219342256	-0.2517315994	0.9394751188
-2.38542e-15	-15	0.974855895573489	-3.920357732e-17	-0.2523112720	0.9416384864
5	-15	0.973875121022114	0.08200750138	-0.2511621835	0.9373500299
10	-15	0.973169925116818	0.1633961237	-0.2482992633	0.9266654659
15	-15	0.972772174409563	0.2437405267	-0.2437405267	0.9096520294
20	-15	0.972700551769858	0.3226137684	-0.2375032092	0.8863740438
25	-15	0.972998895872331	0.3995931886	-0.2296137975	0.8569303583
30	-15	0.973527424428286	0.4741647816	-0.2200606410	0.8212774929
35	-15	0.974052866987127	0.5457033890	-0.2088249189	0.7793452073
40	-15	0.974597768990408	0.6136652460	-0.1959613626	0.7313377616
45	-15	0.974969840698760	0.6773569728	-0.1814972538	0.6773569728

-45	-10	1.00333135841406	-0.7040113702	-0.1241361993	0.7040113702
-40	-10	0.998308619868533	-0.6359253831	-0.1336322870	0.7578663599
-35	-10	0.992104413278796	-0.5632031240	-0.1418263885	0.8043374189
-30	-10	0.987013287912447	-0.4878514629	-0.1489933929	0.8449835203
-25	-10	0.983266106764417	-0.4103395937	-0.1551635285	0.8799760985
-20	-10	0.980738442074908	-0.3309204775	-0.1603158807	0.9091965396
-15	-10	0.978599311568893	-0.2496845431	-0.1643077227	0.9318354006
-10	-10	0.976840366334863	-0.1671255374	-0.1671255374	0.9478160216
-5	-10	0.975382911587286	-0.08372831541	-0.1687482751	0.9570190244
-2.38542e-15	-10	0.974168755793973	-3.994175588e-17	-0.1691626292	0.9593689434
5	-10	0.973189433788892	0.08354002403	-0.1683687876	0.9548668440
10	-10	0.972480853541183	0.1663796776	-0.1663796776	0.9435860407
15	-10	0.972084770383633	0.2480223916	-0.1632139253	0.9256321670
20	-10	0.972009985946519	0.3279753244	-0.1588890883	0.9011047980
25	-10	0.972283137973579	0.4057561479	-0.1534303699	0.8701468672
30	-10	0.972749569724290	0.4808013291	-0.1468402306	0.8327723303
35	-10	0.973256791560573	0.5525036056	-0.1391320248	0.7890569230
40	-10	0.973850312627484	0.6203453730	-0.1303583300	0.7392988269
45	-10	0.974319360357672	0.6836544100	-0.1205467180	0.6836544100

-45	-5	1.00377261987080	-0.7084201118	-0.06197872880	0.7084201118
-40	-5	0.998592792500629	-0.6404463368	-0.06677609188	0.7632542227
-35	-5	0.992113415210925	-0.5675971291	-0.07091942251	0.8106127085
-30	-5	0.986810344911302	-0.4919949957	-0.07455436834	0.8521603295
-25	-5	0.982898793018498	-0.4140912885	-0.07769182593	0.8880216339
-20	-5	0.980290966233901	-0.3341519109	-0.08032113989	0.9180748300
-15	-5	0.978112249690267	-0.2522549381	-0.08236429901	0.9414282455
-10	-5	0.976350080026512	-0.1689156022	-0.08381133859	0.9579679836
-5	-5	0.974909617694968	-0.08464808143	-0.08464808143	0.9675319981
-2.38542e-15	-5	0.973706394041614	-4.038441028e-17	-0.08486410399	0.9700011472
5	-5	0.972717419687417	0.08445774034	-0.08445774034	0.9653563895
10	-5	0.971985355084736	0.1681604733	-0.08343666413	0.9536854349
15	-5	0.971565660584587	0.2505665742	-0.08181302769	0.9351271856
20	-5	0.971470021388180	0.3311451143	-0.07959838678	0.9098137241
25	-5	0.971722008757096	0.4093825545	-0.07680837304	0.8779237212
30	-5	0.972161353445709	0.4846914337	-0.07344762447	0.8395101892
35	-5	0.972666213545103	0.5564712077	-0.06952927468	0.7947232461
40	-5	0.973289428815268	0.6242180536	-0.06508405109	0.7439141080
45	-5	0.973819307672139	0.6872803354	-0.06012923801	0.6872803354

-45	-2.38542e-15	1.00380588951502	-0.7097979515	-2.955127607e-17	0.7097979515
-40	-2.38542e-15	0.998553170300973	-0.6418576055	-3.184686295e-17	0.7649361073
-35	-2.38542e-15	0.991966155878421	-0.5689684127	-3.383006810e-17	0.8125711045
-30	-2.38542e-15	0.986574665603882	-0.4932873328	-3.557149255e-17	0.8543987231
-25	-2.38542e-15	0.982596639932378	-0.4152632840	-3.707596673e-17	0.8905349863
-20	-2.38542e-15	0.979957734471158	-0.3351652848	-3.833845956e-17	0.9208590518
-15	-2.38542e-15	0.977764925326071	-0.2530641843	-3.932056320e-17	0.9444483934
-10	-2.38542e-15	0.976003931096896	-0.1694813040	-4.001699964e-17	0.9611762383
-5	-2.38542e-15	0.974573056181931	-0.08493963857	-4.042035504e-17	0.9708645115
-2.38542e-15	-2.38542e-15	0.973376718480645	-4.052494667e-17	-4.052494667e-17	0.9733767185
5	-2.38542e-15	0.972385083282608	0.08474894417	-4.032960901e-17	0.9686848645
10	-2.38542e-15	0.971642193311700	0.1687238962	-3.983816465e-17	0.9568807651
15	-2.38542e-15	0.971207824673390	0.2513670818	-3.905687109e-17	0.9381147205
20	-2.38542e-15	0.971094325558310	0.3321338204	-3.799170028e-17	0.9125301718
25	-2.38542e-15	0.971325070160753	0.4104997127	-3.665066062e-17	0.8803194748
30	-2.38542e-15	0.971740915916505	0.4858704580	-3.503665354e-17	0.8415523191
35	-2.38542e-15	0.972233981290629	0.5576505023	-3.315712094e-17	0.7964074533
40	-2.38542e-15	0.972865446488372	0.6253458549	-3.102760420e-17	0.7452581692
45	-2.38542e-15	0.973429219604016	0.6883184022	-2.865701019e-17	0.6883184022

-45	5	1.00343111141700	-0.7081790896	0.06195764209	0.7081790896
-40	5	0.998186320336387	-0.6401856463	0.06674891100	0.7629435439
-35	5	0.991639981444037	-0.5673262733	0.07088557995	0.8102258864
-30	5	0.986285847465001	-0.4917334964	0.07451474211	0.8517073996
-25	5	0.982342989249444	-0.4138571306	0.07764789322	0.8875194807
-20	5	0.979718031969305	-0.3339566148	0.08027419594	0.9175382581
-15	5	0.977532453254873	-0.2521054087	0.08231547585	0.9408701943
-10	5	0.975769589526585	-0.1688151731	0.08376150842	0.9573984222
-5	5	0.974333944459690	-0.08459809768	0.08459809768	0.9669606812
-2.38542e-15	5	0.973140345366499	-4.036093345e-17	0.08481476960	0.9694372526
5	5	0.972162459991149	0.08440955508	0.08440955508	0.9648056295
10	5	0.971436522406879	0.1680655213	0.08338955152	0.9531469353
15	5	0.971009664853264	0.2504231830	0.08176620873	0.9345920424
20	5	0.970886309656601	0.3309461444	0.07955055976	0.9092670588
25	5	0.971089703774916	0.4091161669	0.07675839340	0.8773524513
30	5	0.971471881727278	0.4843476831	0.07339553429	0.8389147957
35	5	0.971933361789701	0.5560519365	0.06947688810	0.7941244648
40	5	0.972551935179448	0.6237450629	0.06503473474	0.7433504196
45	5	0.973130525801210	0.6867942223	0.06008670863	0.6867942223

-45	10	1.00263542180442	-0.7035230497	0.1240500952	0.7035230497
-40	10	0.997477505001837	-0.6353959606	0.1335210351	0.7572354188
-35	10	0.991137637908816	-0.5626542998	0.1416881831	0.8035536167
-30	10	0.985939303666304	-0.4873206243	0.1488312709	0.8440640808
-25	10	0.982130736025669	-0.4098657774	0.1549843623	0.8789599960
-20	10	0.979578921608988	-0.3305292325	0.1601263403	0.9081216027
-15	10	0.977431457441314	-0.2493865711	0.1641116389	0.9307233542
-10	10	0.975673463701301	-0.1669258945	0.1669258945	0.9466837905
-5	10	0.974228721270693	-0.08362923801	0.1685485918	0.9558865645
-2.38542e-15	10	0.973037874777474	-3.989538879e-17	0.1689662538	0.9582552431
5	10	0.972085649335316	0.08344527353	0.1681778249	0.9537838409
10	10	0.971395226256671	0.1661939399	0.1661939399	0.9425326701
15	10	0.970989977094713	0.2477430608	0.1630301085	0.9245896902
20	10	0.970859439905145	0.3275871075	0.1587010149	0.9000381808
25	10	0.971024620419727	0.4052309395	0.1532317705	0.8690205542
30	10	0.971357212222860	0.4801131279	0.1466300490	0.8315803310
35	10	0.971762182586625	0.5516551380	0.1389183629	0.7878451857
40	10	0.972338935077353	0.6193826212	0.1301560190	0.7381514641
45	10	0.972909554960101	0.6826651865	0.1203722912	0.6826651865

-45	15	1.00142969628531	-0.6957398672	0.1864229356	0.6957398672
-40	15	0.996434281420450	-0.6274148248	0.2003520075	0.7477238715
-35	15	0.990518977893404	-0.5549283632	0.2123550500	0.7925198358
-30	15	0.985557476695869	-0.4800241205	0.2227799696	0.8314261655
-25	15	0.981973268536985	-0.4032788024	0.2317316208	0.8648341827
-20	15	0.979570663768860	-0.3248923655	0.2391806768	0.8926344380
-15	15	0.977505199056235	-0.2449264466	0.2449264466	0.9140779429
-10	15	0.975775446199682	-0.1638335931	0.2489640485	0.9291464781
-5	15	0.974335193165196	-0.08204624286	0.2512808361	0.9377928471
-2.38542e-15	15	0.973152747577141	-3.913508566e-17	0.2518704649	0.9399933718
5	15	0.972225586788953	0.08186859837	0.2507367690	0.9357623613
10	15	0.971565763758129	0.1631267836	0.2478899698	0.9251379620
15	15	0.971174117669735	0.2433401131	0.2433401131	0.9081576656
20	15	0.971025832692866	0.3220583174	0.2370942949	0.8848479549
25	15	0.971137566848463	0.3988287742	0.2291745505	0.8552910663
30	15	0.971405607477788	0.4731313327	0.2195810157	0.8194875068
35	15	0.971735143729447	0.5444049077	0.2083280276	0.7774907838
40	15	0.972231864905385	0.6121755308	0.1954856527	0.7295623881
45	15	0.972766791085374	0.6758264116	0.1810871412	0.6758264116

-45	20	0.999870196495971	-0.6847021905	0.2492112167	0.6847021905
-40	20	0.995102841252096	-0.6161389124	0.2672581609	0.7342857623
-35	20	0.989763784610128	-0.5440396273	0.2827936287	0.7769691093
-30	20	0.985183929313217	-0.4698056088	0.2961724738	0.8137271842
-25	20	0.981913100310179	-0.3940869399	0.3075993142	0.8451221700
-20	20	0.979705301918774	-0.3170478967	0.3170478967	0.8710819370
-15	20	0.977747269640971	-0.2387354607	0.3242876038	0.8909728689
-10	20	0.976067996747636	-0.1595524289	0.3293445772	0.9048667892
-5	20	0.974650472128212	-0.07985898025	0.3322292350	0.9127923211
-2.38542e-15	20	0.973482445682789	-3.808512966e-17	0.3329506056	0.9147742707
5	20	0.972571050765244	0.07968860074	0.3315204223	0.9108448744
10	20	0.971922595615021	0.1588748031	0.3279458372	0.9010237825
15	20	0.971524665694504	0.2372160944	0.3222237644	0.8853025168
20	20	0.971345008199295	0.3143423754	0.3143423754	0.8636485784
25	20	0.971393913142204	0.3898651058	0.3043040177	0.8360684174
30	20	0.971594160542905	0.4633250427	0.2920870282	0.8025025144
35	20	0.971844477034085	0.5341899909	0.2776737546	0.7629023707
40	20	0.972235933028463	0.6019803838	0.2611167175	0.7174122851
45	20	0.972711541844200	0.6661041861	0.2424420967	0.6661041861

-45	25	0.998098412787254	-0.6702659368	0.3125501393	0.6702659368
-40	25	0.993638685181299	-0.6014760257	0.3342545588	0.7168112145
-35	25	0.988967808162718	-0.5299060735	0.3528943159	0.7567843026
-30	25	0.984965302211789	-0.4566524011	0.3688237854	0.7909451602
-25	25	0.982067420384758	-0.3823007970	0.3823007970	0.8198467048
-20	25	0.980030094049102	-0.3070094337	0.3933312028	0.8435014865
-15	25	0.978165934205626	-0.2308331445	0.4017151985	0.8614810233
-10	25	0.976544800924149	-0.1541028782	0.4075346380	0.8739608515
-5	25	0.975162209232367	-0.07708029876	0.4108318970	0.8810318463
-2.38542e-15	25	0.974011823683122	-3.675203893e-17	0.4116351838	0.8827545005
5	25	0.973103761909635	0.07691759174	0.4099646815	0.8791720966
10	25	0.972442192265529	0.1534554693	0.4058225249	0.8702892131
15	25	0.972012107915848	0.2293809297	0.3991879325	0.8560612838
20	25	0.971784286373040	0.3044263081	0.3900217805	0.8364044075
25	25	0.971759031588695	0.3782879307	0.3782879307	0.8112410853
30	25	0.971885939418680	0.4505885100	0.3639261711	0.7804421925
35	25	0.972056090732832	0.5208444825	0.3468596918	0.7438430095
40	25	0.972327133086911	0.5885755742	0.3270854705	0.7014370551
45	25	0.972729098685330	0.6532293531	0.3046058499	0.6532293531

-45	30	0.996375797941384	-0.6522810735	0.3765946534	0.6522810735
-40	30	0.992350234092642	-0.5833619003	0.4013875560	0.6952236405
-35	30	0.988439638183824	-0.5125182018	0.4225925967	0.7319518484
-30	30	0.985153953251525	-0.4405742416	0.4405742416	0.7630969709
-25	30	0.982642163838192	-0.3679538779	0.4555753412	0.7890796376
-20	30	0.980649758372278	-0.2948093815	0.4676433944	0.8099821189
-15	30	0.978826156251230	-0.2212583908	0.4767455738	0.8257475562
-10	30	0.977244935735328	-0.1475188231	0.4830232555	0.8366208197
-5	30	0.975894452899595	-0.07372966333	0.4865526487	0.8427339082
-2.38542e-15	30	0.974762014613977	-3.514558092e-17	0.4873810073	0.8441686673
5	30	0.973853398965174	0.07357545996	0.4855350385	0.8409713555
10	30	0.973170170368645	0.1469037219	0.4810092195	0.8331324071
15	30	0.972696066884986	0.2198727171	0.4737598619	0.8205761513
20	30	0.972397929483891	0.2923286625	0.4637083368	0.8031663992
25	30	0.972275347938688	0.3640719865	0.4507690486	0.7807548947
30	30	0.972316325190259	0.4348330798	0.4348330798	0.7531529869
35	30	0.972392271448812	0.5041974433	0.4157317848	0.7200685737
40	30	0.972524268064834	0.5717070301	0.3933683146	0.6813339070
45	30	0.972828505767380	0.6368657523	0.3676946135	0.6368657523

-45	35	0.995060953674741	-0.6305574634	0.4415210892	0.6305574634
-40	35	0.991582355883901	-0.5616768473	0.4687052025	0.6693804007
-35	35	0.988383963710765	-0.4917633368	0.4917633368	0.7023108292
-30	35	0.985740084598834	-0.4214384429	0.5111184498	0.7299527954
-25	35	0.983485705438201	-0.3509381320	0.5269686679	0.7525892527
-20	35	0.981349769830822	-0.2803895907	0.5394147284	0.7703640691
-15	35	0.979517946994263	-0.2099965647	0.5487651455	0.7837178487
-10	35	0.977970086177782	-0.1398058144	0.5551792738	0.7928781733
-5	35	0.976655323454492	-0.06981442894	0.5587534139	0.7979825743
-2.38542e-15	35	0.975546409589463	-3.327008817e-17	0.5595504331	0.7991208357
5	35	0.974639657601709	0.06967034273	0.5576002331	0.7963356614
10	35	0.973932872636051	0.1392286741	0.5528874069	0.7896050481
15	35	0.973413470315675	0.2086878402	0.5453451734	0.7788336224
20	35	0.973055253984300	0.2780196957	0.5348555140	0.7638528361
25	35	0.972859133531436	0.3471462423	0.5212747667	0.7444575191
30	35	0.972838822141649	0.4159227009	0.5044289854	0.7203992500
35	35	0.972861725467919	0.4840403587	0.4840403587	0.6912812735
40	35	0.972889759297058	0.5510885198	0.4598695095	0.6567617234
45	35	0.973070709706846	0.6166225257	0.4317637407	0.6166225257

-45	40	0.994256846801983	-0.6046278738	0.5073430259	0.6046278738
-40	40	0.991250098948722	-0.5359849898	0.5359849898	0.6387620372
-35	40	0.988600970735748	-0.4672959492	0.5599880567	0.6673677784
-30	40	0.986335754382732	-0.3989548087	0.5798262350	0.6910099986
-25	40	0.983960580166504	-0.3309988977	0.5956176103	0.7098294269
-20	40	0.981876290096127	-0.2637058610	0.6079494142	0.7245258985
-15	40	0.980129639462212	-0.1970736501	0.6171484437	0.7354888749
-10	40	0.978658669307814	-0.1310019703	0.6234083096	0.7429490927
-5	40	0.977403572120769	-0.06535916464	0.6268566547	0.7470586703
-2.38542e-15	40	0.976333916959883	-3.113822415e-17	0.6275753447	0.7479151717
5	40	0.975437728521367	0.06522770830	0.6255958632	0.7455561175
10	40	0.974707971813722	0.1304731351	0.6208917043	0.7399499192
15	40	0.974136530644205	0.1958686219	0.6133748227	0.7309916485
20	40	0.973708160294590	0.2615121186	0.6028919444	0.7184986407
25	40	0.973437721273332	0.3274590662	0.5892478429	0.7022382337
30	40	0.973344153867566	0.3936999434	0.5721890072	0.6819083050
35	40	0.973338173494573	0.4600814678	0.5513425218	0.6570644311
40	40	0.973341374094972	0.5263014521	0.5263014521	0.6272216463
45	40	0.973443496384418	0.5919708507	0.4967225225	0.5919708507

-45	45	0.993770073290883	-0.5737534193	0.5737534193	0.5737534193
-40	45	0.991092251537228	-0.5057282165	0.6027034188	0.6027034188
-35	45	0.988790555994430	-0.4387388347	0.6265839922	0.6265839922
-30	45	0.986656475474345	-0.3729210948	0.6459182834	0.6459182834
-25	45	0.984286166894635	-0.3082248951	0.6609904206	0.6609904206
-20	45	0.982326538651263	-0.2448385728	0.6726884501	0.6726884501
-15	45	0.980712721877833	-0.1825663302	0.6813468199	0.6813468199
-10	45	0.979349141165271	-0.1211690227	0.6871836757	0.6871836757
-5	45	0.978177672986102	-0.06039834870	0.6903562846	0.6903562846
-2.38542e-15	45	0.977170535857634	-2.876715167e-17	0.6909639123	0.6909639123
5	45	0.976309292959078	0.06028298411	0.6890376613	0.6890376613
10	45	0.975582066703389	0.1207029451	0.6845404181	0.6845404181
15	45	0.974982499692728	0.1814996104	0.6773657676	0.6773657676
20	45	0.974497249232858	0.2428871727	0.6673270226	0.6673270226
25	45	0.974130454751383	0.3050446784	0.6541704239	0.6541704239
30	45	0.973912221272014	0.3681042195	0.6375752106	0.6375752106
35	45	0.973829284168930	0.4321003298	0.6171032246	0.6171032246
40	45	0.973802908409467	0.4969059210	0.5921894165	0.5921894165
45	45	0.973851424863316	0.5622533823	0.5622533823	0.5622533823


### +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	0.982093350857426	0.5670118605	-0.5670118605	0.5670118605
45	-40	0.980534852446568	0.5962832490	-0.5003410544	0.5962832490
45	-35	0.979125611522634	0.6204594399	-0.4344503770	0.6204594399
45	-30	0.978001498979902	0.6402522713	-0.3696498212	0.6402522713
45	-25	0.976985122152089	0.6560874556	-0.3059386050	0.6560874556
45	-20	0.975840387900037	0.6682467919	-0.2432219414	0.6682467919
45	-15	0.974969933020823	0.6773570369	-0.1814972710	0.6773570369
45	-10	0.974319437981398	0.6836544645	-0.1205467276	0.6836544645
45	-5	0.973819358570573	0.6872803713	-0.06012924115	0.6872803713
45	-2.38542e-15	0.973429243950297	0.6883184194	-2.865701091e-17	0.6883184194
45	5	0.973130544845042	0.6867942358	0.06008670981	0.6867942358
45	10	0.972909536478771	0.6826651735	0.1203722889	0.6826651735
45	15	0.972766670940928	0.6758263281	0.1810871188	0.6758263281
45	20	0.972711459475698	0.6661041297	0.2424420761	0.6661041297
45	25	0.972729187380645	0.6532294127	0.3046058777	0.6532294127
45	30	0.972828918545756	0.6368660225	0.3676947695	0.6368660225
45	35	0.973072009802053	0.6166233495	0.4317643176	0.6166233495
45	40	0.973443505175047	0.5919708561	0.4967225270	0.5919708561
45	45	0.973852533973385	0.5622540226	0.5622540226	0.5622540226

50	-45	0.983054138655627	0.5978152784	-0.5978152784	0.5016265796
50	-40	0.981398374459742	0.6324135812	-0.5306580027	0.5306580027
50	-35	0.979762685861355	0.6614013807	-0.4631182325	0.5549816546
50	-30	0.978398820094655	0.6854495179	-0.3957444637	0.5751604377
50	-25	0.977354937252778	0.7050641143	-0.3287767960	0.5916190383
50	-20	0.976326915234609	0.7204310183	-0.2622154465	0.6045134017
50	-15	0.975473809625074	0.7319951421	-0.1961375072	0.6142168538
50	-10	0.974811479552965	0.7400284971	-0.1304869905	0.6209576390
50	-5	0.974292180043739	0.7446805406	-0.06515110525	0.6248611670
50	-2.38542e-15	0.973886727983927	0.7460405162	-3.106017594e-17	0.6260023220
50	5	0.973586481715285	0.7441411544	0.06510391507	0.6244085682
50	10	0.973371096052633	0.7389350294	0.1302941827	0.6200401107
50	15	0.973238039719514	0.7303174213	0.1956879633	0.6128090789
50	20	0.973201061175365	0.7181244526	0.2613759252	0.6025779633
50	25	0.973237689278619	0.7020939305	0.3273917766	0.5891267582
50	30	0.973370763193522	0.6819269470	0.3937107064	0.5722046497
50	35	0.973670240068498	0.6572885969	0.4602384303	0.5515306193
50	40	0.974031134211840	0.6276661281	0.5266744166	0.5266744166
50	45	0.974390725553731	0.5925468801	0.5925468801	0.4972058686

55	-45	0.983970992457573	0.6235298961	-0.6235298961	0.4366003336
55	-40	0.982158503571428	0.6630187082	-0.5563387535	0.4642506974
55	-35	0.980236111982869	0.6965212528	-0.4877094317	0.4877094317
55	-30	0.978580525022969	0.7246510524	-0.4183774802	0.5074061295
55	-25	0.977414923833811	0.7479437302	-0.3487718893	0.5237158381
55	-20	0.976642996932592	0.7666692308	-0.2790447795	0.5368275747
55	-15	0.975927056668884	0.7808447571	-0.2092267221	0.5467533851
55	-10	0.975321642676653	0.7907309777	-0.1394272059	0.5536757913
55	-5	0.974824370946119	0.7964865826	-0.06968354663	0.5577059092
55	-2.38542e-15	0.974430771564068	0.7982069585	-3.323204039e-17	0.5589105294
55	5	0.974152732737490	0.7959378163	0.06963553580	0.5573216589
55	10	0.973962124963611	0.7896287641	0.1392328559	0.5529040130
55	15	0.973851237405363	0.7791838823	0.2087816920	0.5455904281
55	20	0.973822403245344	0.7644550518	0.2782388843	0.5352771899
55	25	0.973838544639073	0.7452069903	0.3474957265	0.5217995522
55	30	0.973961695662647	0.7212307518	0.4164027687	0.5050112092
55	35	0.974246957028477	0.6922655703	0.4847295707	0.4847295707
55	40	0.974573381388385	0.6578982741	0.5520421991	0.4606653309
55	45	0.974927962451884	0.6177994431	0.6177994431	0.4325878272

60	-45	0.984994086272617	0.6448299942	-0.6448299942	0.3722927707
60	-40	0.982985635645039	0.6886629626	-0.5778568379	0.3975997468
60	-35	0.980753062483245	0.7262598434	-0.5085326171	0.4193063161
60	-30	0.978828462098323	0.7581972665	-0.4377453959	0.4377453959
60	-25	0.977557998086097	0.7849969594	-0.3660500938	0.4532182058
60	-20	0.976911102709811	0.8068941211	-0.2936854423	0.4658605380
60	-15	0.976358563249689	0.8236658700	-0.2207006047	0.4755437117
60	-10	0.975855037117713	0.8354309254	-0.1473090127	0.4823362697
60	-5	0.975416348856879	0.8423210413	-0.07369354216	0.4863142799
60	-2.38542e-15	0.975056084046822	0.8444233389	-3.515618375e-17	0.4875280420
60	5	0.974809923326479	0.8417973624	0.07364772619	0.4860119338
60	10	0.974640157267929	0.8343908650	0.1471256220	0.4817357905
60	15	0.974535252323167	0.8221277066	0.2202884551	0.4746556527
60	20	0.974481455068107	0.8048873178	0.2929550256	0.4647019096
60	25	0.974443272685890	0.7824957780	0.3648837737	0.4517741480
60	30	0.974524206394920	0.7548632044	0.4358204742	0.4358204742
60	35	0.974772981376379	0.7218315190	0.5054318709	0.4167496218
60	40	0.975089129247153	0.6831308050	0.5732148065	0.3944057541
60	45	0.975485459572046	0.6386051368	0.6386051368	0.3686988477

65	-45	0.986072893517855	0.6621902843	-0.6621902843	0.3087844007
65	-40	0.983969784649653	0.7098360670	-0.5956231820	0.3310019941
65	-35	0.981475805082561	0.7510512239	-0.5258917285	0.3502209374
65	-30	0.979352088296855	0.7864376467	-0.4540499870	0.3667218973
65	-25	0.977882964002285	0.8163534490	-0.3806718650	0.3806718650
65	-20	0.977140029336740	0.8410140385	-0.3061040766	0.3921712868
65	-15	0.976812293791574	0.8602888580	-0.2305137047	0.4011592827
65	-10	0.976451036660911	0.8738769370	-0.1540880818	0.4074955080
65	-5	0.976096945526156	0.8818763545	-0.07715418365	0.4112256976
65	-2.38542e-15	0.975781420627077	0.8843583000	-3.681881050e-17	0.4123830478
65	5	0.975564892909287	0.8813956598	0.07711212831	0.4110015460
65	10	0.975399160588707	0.8729355583	0.1539220913	0.4070565359
65	15	0.975275603231311	0.8589354784	0.2301510678	0.4005281915
65	20	0.975174021676307	0.8393219166	0.3054881946	0.3913822374
65	25	0.975068727020803	0.8140040757	0.3795763343	0.3795763343
65	30	0.975109796302387	0.7830310086	0.4520831636	0.3651333559
65	35	0.975318850925979	0.7463397598	0.5225927259	0.3480239456
65	40	0.975624029339424	0.7038154369	0.5905712735	0.3281945282
65	45	0.976027358765861	0.6554442764	0.6554442764	0.3056386856

70	-45	0.987013293862530	0.6758978983	-0.6758978983	0.2460067164
70	-40	0.984900856435588	0.7267577241	-0.6098221383	0.2645181791
70	-35	0.982341598465054	0.7711426591	-0.5399599030	0.2806729743
70	-30	0.980095124549844	0.8095240109	-0.4673789056	0.2946426439
70	-25	0.978482560664736	0.8421695410	-0.3927101064	0.3065246451
70	-20	0.977700907348319	0.8692997767	-0.3163992434	0.3163992434
70	-15	0.977497930889659	0.8907456588	-0.2386745799	0.3242049061
70	-10	0.977264064578342	0.9059756075	-0.1597479435	0.3297481541
70	-5	0.977004564197019	0.9149970060	-0.08005186519	0.3330316746
70	-2.38542e-15	0.976736426731334	0.9178320127	-3.821243374e-17	0.3340635327
70	5	0.976535105659724	0.9145573426	0.08001339962	0.3328716502
70	10	0.976339999966459	0.9051189506	0.1595968917	0.3294363565
70	15	0.976151545699240	0.8895187644	0.2383458346	0.3237583530
70	20	0.975943806988681	0.8677374922	0.3158306183	0.3158306183
70	25	0.975721030267579	0.8397927211	0.3916017771	0.3056595534
70	30	0.975690013241998	0.8058855443	0.4652782359	0.2933183503
70	35	0.975839043099010	0.7660381234	0.5363856685	0.2788150752
70	40	0.976109154988480	0.7202703332	0.6043785709	0.2621569619
70	45	0.976491135398708	0.6686924180	0.6686924180	0.2433841360

75	-45	0.987731119652990	0.6862228278	-0.6862228278	0.1838728525
75	-40	0.985625328281389	0.7396128375	-0.6206088592	0.1981786625
75	-35	0.983115107807092	0.7865959574	-0.5507804189	0.2107677516
75	-30	0.980822624602884	0.8274317969	-0.4777179707	0.2217096818
75	-25	0.979119212513983	0.8623205855	-0.4021066928	0.2310581045
75	-20	0.978328541159466	0.8915025530	-0.3244803931	0.2388773891
75	-15	0.978256817806842	0.9147807914	-0.2451147743	0.2451147743
75	-10	0.978158000222440	0.9314151780	-0.1642336261	0.2495719448
75	-5	0.977994219470877	0.9413146420	-0.08235435999	0.2522244981
75	-2.38542e-15	0.977768369996520	0.9444517207	-3.932070172e-17	0.2530650759
75	5	0.977568893078952	0.9409052674	0.08231854435	0.2521148066
75	10	0.977317377913538	0.9306147262	0.1640924849	0.2493574643
75	15	0.977018629979693	0.9136229458	0.2448045305	0.2448045305
75	20	0.976662139457841	0.8899840433	0.3239277007	0.2384705057
75	25	0.976297001726061	0.8598350348	0.4009476615	0.2303921032
75	30	0.976182382705405	0.8235172423	0.4754579015	0.2206607800
75	35	0.976273700923536	0.7811221091	0.5469475890	0.2093010383
75	40	0.976515245123433	0.7327766349	0.6148726041	0.1963469075
75	45	0.976868740628579	0.6786762270	0.6786762270	0.1818507470

80	-45	0.988224710383342	0.6934114304	-0.6934114304	0.1222671439
80	-40	0.986118878261763	0.7486125131	-0.6281604836	0.1320005841
80	-35	0.983692366179597	0.7975174470	-0.5584277282	0.1406238435
80	-30	0.981395580649329	0.8401741929	-0.4850747964	0.1481453787
80	-25	0.979644956182819	0.8767353421	-0.4088284042	0.1545920957
80	-20	0.978855082685781	0.9074505656	-0.3302849950	0.1600080184
80	-15	0.978929541274945	0.9321498498	-0.2497687995	0.1643631686
80	-10	0.978937588889323	0.9498509305	-0.1674843467	0.1674843467
80	-5	0.978783905690420	0.9603559868	-0.08402026179	0.1693366716
80	-2.38542e-15	0.978557552682912	0.9636910647	-4.012170032e-17	0.1699247358
80	5	0.978391400793728	0.9599708717	0.08398656859	0.1692687654
80	10	0.978154493432457	0.9490911027	0.1673503686	0.1673503686
80	15	0.977767385177352	0.9310432291	0.2494722814	0.1641680415
80	20	0.977268023168495	0.9059792773	0.3297494898	0.1597485906
80	25	0.976774055855947	0.8741660237	0.4076303114	0.1541390556
80	30	0.976576083466433	0.8360482143	0.4826926616	0.1474178574
80	35	0.976619899581631	0.7917835248	0.5544127927	0.1396127983
80	40	0.976838639192115	0.7415674161	0.6222489454	0.1307583435
80	45	0.977162603557368	0.6856494394	0.6856494394	0.1208984955

85	-45	0.988518358833621	0.6976543018	-0.6976543018	0.06103684247
85	-40	0.986434710205303	0.7539614382	-0.6326487647	0.06596307858
85	-35	0.984050499456323	0.8040248508	-0.5629842615	0.07034305964
85	-30	0.981752851768856	0.8477929300	-0.4894734764	0.07417227039
85	-25	0.979975686091896	0.8853806884	-0.4128597954	0.07746077314
85	-20	0.979191549413880	0.9170451898	-0.3337771526	0.08023105805
85	-15	0.979380947237754	0.9426493607	-0.2525821349	0.08247113274
85	-10	0.979399993546207	0.9609604753	-0.1694432592	0.08407314769
85	-5	0.979245895938360	0.9718354616	-0.08502458570	0.08502458570
85	-2.38542e-15	0.979020171289943	0.9752947040	-4.060479886e-17	0.08532723019
85	5	0.978874736314543	0.9714671107	0.08499235917	0.08499235917
85	10	0.978660233404194	0.9602346429	0.1693152754	0.08400964558
85	15	0.978278271725623	0.9415880409	0.2522977552	0.08237827929
85	20	0.977687741379510	0.9156368240	0.3332645493	0.08010784201
85	25	0.977098099079818	0.8827808688	0.4116474796	0.07723331840
85	30	0.976836070451882	0.8435470422	0.4870221119	0.07380080335
85	35	0.976844906435070	0.7981374743	0.5588618760	0.06982798093
85	40	0.977045996929235	0.7467853649	0.6266273243	0.06533525352
85	45	0.977348326117821	0.6897709668	0.6897709668	0.06034714002

90	-45	0.988616295268098	0.6990572864	-0.6990572864	0.000000000
90	-40	0.986545522267072	0.7557377152	-0.6341392381	0.000000000
90	-35	0.984172286894335	0.8061867407	-0.5644980331	0.000000000
90	-30	0.981872995192738	0.8503269571	-0.4909364976	0.000000000
90	-25	0.980086243047918	0.8882597940	-0.4142023444	0.000000000
90	-20	0.979304874478010	0.9202455640	-0.3349419935	0.000000000
90	-15	0.979538703149821	0.9461617312	-0.2535232718	0.000000000
90	-10	0.979553735858465	0.9646721136	-0.1700977212	0.000000000
90	-5	0.979397190641407	0.9756702886	-0.08536008960	0.000000000
90	-2.38542e-15	0.979171314266182	0.9791713143	-4.076619518e-17	0.000000000
90	5	0.979033424775326	0.9753079070	0.08532838531	0.000000000
90	10	0.978829062773008	0.9639584499	0.1699718830	0.000000000
90	15	0.978459536476997	0.9451193363	0.2532439629	0.000000000
90	20	0.977837610632943	0.9188667870	0.3344401597	0.000000000
90	25	0.977212231850956	0.8856550553	0.4129877348	0.000000000
90	30	0.976926401975930	0.8460430817	0.4884632010	0.000000000
90	35	0.976922677164480	0.8002482081	0.5603398278	0.000000000
90	40	0.977117375417141	0.7485153357	0.6280789421	0.000000000
90	45	0.977411825473646	0.6911345298	0.6911345298	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	0.973851827737291	0.5622536149	0.5622536149	0.5622536149
40	45	0.973803277351547	0.4969061093	0.5921896409	0.5921896409
35	45	0.973829831412483	0.4321005726	0.6171035714	0.6171035714
30	45	0.973912477165601	0.3681043162	0.6375753781	0.6375753781
25	45	0.974130139327290	0.3050445796	0.6541702121	0.6541702121
20	45	0.974497074633182	0.2428871292	0.6673269030	0.6673269030
15	45	0.974982450291781	0.1814996012	0.6773657332	0.6773657332
10	45	0.975582010960468	0.1207029382	0.6845403789	0.6845403789
5	45	0.976309283090780	0.06028298350	0.6890376543	0.6890376543
0	45	0.977170535165836	0.000000000	0.6909639118	0.6909639118
-5	45	0.978177682099026	-0.06039834926	0.6903562910	0.6903562910
-10	45	0.979349214250845	-0.1211690318	0.6871837270	0.6871837270
-15	45	0.980712847942390	-0.1825663536	0.6813469075	0.6813469075
-20	45	0.982326752228202	-0.2448386260	0.6726885964	0.6726885964
-25	45	0.984286159340912	-0.3082248927	0.6609904156	0.6609904156
-30	45	0.986653509477538	-0.3729199738	0.6459163417	0.6459163417
-35	45	0.988792509092980	-0.4387397013	0.6265852299	0.6265852299
-40	45	0.991092898617431	-0.5057285466	0.6027038123	0.6027038123
-45	45	0.993770490570883	-0.5737536602	0.5737536602	0.5737536602

45	50	0.974390752288823	0.5925468964	0.5925468964	0.4972058822
40	50	0.974346471972300	0.5268449248	0.6278693319	0.5268449248
35	50	0.974416373225450	0.4605911156	0.6577922837	0.5519532626
30	50	0.974512365224304	0.3941724636	0.6827267339	0.5728757506
25	50	0.974711639910621	0.3278876054	0.7031572389	0.5900189798
20	50	0.975093243477109	0.2618841151	0.7195206927	0.6037495479
15	50	0.975615247019973	0.1961659459	0.7321012767	0.6143059112
10	50	0.976259438685731	0.1306808125	0.7411277158	0.6218799930
5	50	0.977048352474635	0.06533541103	0.7467871653	0.6266288350
0	50	0.977987730065165	0.000000000	0.7491820661	0.6286383953
-5	50	0.979098254107742	-0.06547248835	0.7483539662	0.6279435370
-10	50	0.980407450744149	-0.1312360599	0.7442766807	0.6245222883
-15	50	0.981943299356446	-0.1974383208	0.7368498445	0.6182904328
-20	50	0.983766501729333	-0.2642135216	0.7259206845	0.6091197786
-25	50	0.985943118978420	-0.3316658128	0.7112596309	0.5968176940
-30	50	0.988401871872454	-0.3997905155	0.6924574853	0.5810408205
-35	50	0.990689519885825	-0.4682831731	0.6687776803	0.5611711049
-40	50	0.993274103170391	-0.5370794017	0.6400663064	0.5370794017
-45	50	0.996121320474249	-0.6057616983	0.6057616983	0.5082944176

45	55	0.974926210454417	0.6177983329	0.6177983329	0.4325870498
40	55	0.974888754071842	0.5522208404	0.6581111704	0.4608144025
35	55	0.975000134691315	0.4851043089	0.6928007518	0.4851043089
30	55	0.975145769461752	0.4169090018	0.7221075732	0.5056251662
25	55	0.975370152730335	0.3480422517	0.7463790173	0.5226202143
20	55	0.975793694735887	0.2788021184	0.7660025247	0.5363607421
15	55	0.976351641056048	0.2093177477	0.7811844694	0.5469912542
10	55	0.977024177130892	0.1396705918	0.7921112882	0.5546422951
5	55	0.977857013121140	0.06990032954	0.7989644226	0.5594409115
0	55	0.978853894846894	0.000000000	0.8018301690	0.5614475287
-5	55	0.980048679773267	-0.07005699684	0.8007551381	0.5606947839
-10	55	0.981476954261312	-0.1403071391	0.7957213269	0.5571700714
-15	55	0.983159819672214	-0.2107773372	0.7866317316	0.5508054683
-20	55	0.985154732216220	-0.2814767381	0.7733509820	0.5415061873
-25	55	0.987484065047222	-0.3523648704	0.7556489032	0.5291110582
-30	55	0.989828061209860	-0.4231861962	0.7329799929	0.5132381164
-35	55	0.992424695477063	-0.4937737738	0.7051820309	0.4937737738
-40	55	0.995409568344409	-0.5638447526	0.6719640096	0.4705142649
-45	55	0.998501169396956	-0.6327374843	0.6327374843	0.4430475562

45	60	0.975484681832804	0.6386046277	0.6386046277	0.3686985537
40	60	0.975453780653134	0.5734291701	0.6833862735	0.3945532490
35	60	0.975545029843417	0.5058321876	0.7224032305	0.4170796996
30	60	0.975718011266021	0.4363543600	0.7557879216	0.4363543600
25	60	0.975982494010372	0.3654601407	0.7837318008	0.4524877662
20	60	0.976449420571469	0.2935466484	0.8065127879	0.4656403752
15	60	0.977050257312567	0.2208569584	0.8242493900	0.4758806072
10	60	0.977747981385549	0.1475947598	0.8370514778	0.4832718960
5	60	0.978616390038731	0.07393530802	0.8450844377	0.4879097276
0	60	0.979658541070400	0.000000000	0.8484091836	0.4898292705
-5	60	0.980922202377069	-0.07410951412	0.8470756225	0.4890593387
-10	60	0.982449679187048	-0.1483044989	0.8410766082	0.4855958061
-15	60	0.984234832311381	-0.2224809930	0.8303103695	0.4793799153
-20	60	0.986288064005569	-0.2965044061	0.8146391605	0.4703321386
-25	60	0.988515556875955	-0.3701531910	0.7937960796	0.4582983803
-30	60	0.991068065583904	-0.4432191130	0.7676780226	0.4432191130
-35	60	0.994180987731843	-0.5154951627	0.7362033891	0.4250472249
-40	60	0.997670875752275	-0.5864896868	0.6989511912	0.4035396584
-45	60	1.00105265494455	-0.6553427951	0.6553427951	0.3783623392

45	65	0.976027193384337	0.6554441653	0.6554441653	0.3056386338
40	65	0.976037242784543	0.5908214026	0.7041135292	0.3283335309
35	65	0.976097687584282	0.5230100401	0.7469357462	0.3483018586
30	65	0.976266549562905	0.4526194608	0.7839599026	0.3655665063
25	65	0.976541207217801	0.3801495438	0.8152333274	0.3801495438
20	65	0.977018926306295	0.3060661393	0.8409098064	0.3921226826
15	65	0.977650271596642	0.2307114555	0.8610268738	0.4015034251
10	65	0.978373750848842	0.1543914942	0.8755976741	0.4082979009
5	65	0.979274554888192	0.07740535323	0.8847472359	0.4125644116
0	65	0.980356329287643	0.000000000	0.8885045753	0.4143164878
-5	65	0.981681916778044	-0.07759563969	0.8869222202	0.4135786235
-10	65	0.983300892740374	-0.1551690179	0.8800072303	0.4103541107
-15	65	0.985184841548318	-0.2324895061	0.8676626488	0.4045977378
-20	65	0.987331663740281	-0.3092967622	0.8497858700	0.3962616590
-25	65	0.989633419035971	-0.3852461012	0.8261629301	0.3852461012
-30	65	0.992480747520324	-0.4601367332	0.7969802003	0.3716379708
-35	65	0.996130754837383	-0.5337441043	0.7622655787	0.3554502769
-40	65	1.00012226755535	-0.6054007112	0.7214884725	0.3364356000
-45	65	1.00367745150374	-0.6740125008	0.6740125008	0.3142971908

45	70	0.976491309619825	0.6686925373	0.6686925373	0.2433841795
40	70	0.976548987733919	0.6046509026	0.7205948855	0.2622750893
35	70	0.976599054184635	0.5368034209	0.7666347356	0.2790322243
30	70	0.976775664855348	0.4657959517	0.8067822542	0.2936447261
25	70	0.977062799561346	0.3921402909	0.8409475677	0.3060798832
20	70	0.977563216396916	0.3163546844	0.8691773520	0.3163546844
15	70	0.978240397719192	0.2388558672	0.8914222322	0.3244511587
10	70	0.979000679869194	0.1600318183	0.9075855419	0.3303341223
5	70	0.979938204505979	0.08029223600	0.9177444570	0.3340316650
0	70	0.981060577293534	0.000000000	0.9218953850	0.3355424793
-5	70	0.982445629748143	-0.08049768444	0.9200927434	0.3348863714
-10	70	0.984154400135947	-0.1608742684	0.9123633139	0.3320730891
-15	70	0.986148850914611	-0.2407868654	0.8986288156	0.3270741405
-20	70	0.988441893490589	-0.3198751938	0.8788498720	0.3198751938
-25	70	0.990931303361644	-0.3977063601	0.8528840415	0.3104244044
-30	70	0.994070764169013	-0.4740434823	0.8210673964	0.2988440926
-35	70	0.998069563803521	-0.5486050328	0.7834891841	0.2851667419
-40	70	1.00244244934046	-0.6206833855	0.7397016545	0.2692293845
-45	70	1.00606104836150	-0.6889416306	0.6889416306	0.2507542467

45	75	0.976868755605688	0.6786762374	0.6786762374	0.1818507497
40	75	0.976961865208453	0.6151538229	0.7331117784	0.1964367090
35	75	0.977001141625881	0.5473551304	0.7817041385	0.2094569926
30	75	0.977174416007093	0.4759410797	0.8243541315	0.2208850238
25	75	0.977469818411949	0.4014293163	0.8608679468	0.2306688711
20	75	0.977995245137755	0.3243698494	0.8911988367	0.2387960086
15	75	0.978734029696698	0.2452343459	0.9152270386	0.2452343459
10	75	0.979558748445798	0.1644688130	0.9327489893	0.2499293384
5	75	0.980556768288600	0.08257014558	0.9437810827	0.2528853789
0	75	0.981730114250539	0.000000000	0.9482784718	0.2540904507
-5	75	0.983167131958970	-0.08278995755	0.9462935449	0.2535585912
-10	75	0.984944661983571	-0.1653731129	0.9378775284	0.2513035263
-15	75	0.987028927182903	-0.2473127387	0.9229837061	0.2473127387
-20	75	0.989463278735391	-0.3281734306	0.9016490902	0.2415961456
-25	75	0.992142324069314	-0.4074550511	0.8737901768	0.2341313722
-30	75	0.995511855124268	-0.4848724849	0.8398237790	0.2250301034
-35	75	0.999695778779944	-0.5600695742	0.7998622460	0.2143224429
-40	75	1.00437267282311	-0.6324133124	0.7536808371	0.2019481716
-45	75	1.00800802545953	-0.7003101390	0.7003101390	0.1876475362

45	80	0.977162608780430	0.6856494431	0.6856494431	0.1208984961
40	80	0.977289030751924	0.6225358460	0.7419093310	0.1308186323
35	80	0.977323915942569	0.5548124524	0.7923542981	0.1397134410
30	80	0.977478253153474	0.4831385774	0.8368205631	0.1475540433
25	80	0.977771233461895	0.4080464565	0.8750584499	0.1542964144
20	80	0.978318779186412	0.3301040356	0.9069533838	0.1599203518
15	80	0.979125086116697	0.2498186917	0.9323360502	0.1643960007
10	80	0.980031126180953	0.1676714377	0.9509119761	0.1676714377
5	80	0.981106179793484	0.08421960924	0.9626345386	0.1697384417
0	80	0.982335836920969	0.000000000	0.9674119483	0.1705808279
-5	80	0.983811017369784	-0.08445179651	0.9652884512	0.1702063981
-10	80	0.985625918271887	-0.1686286387	0.9563405331	0.1686286387
-15	80	0.987762611548062	-0.2520225116	0.9405608178	0.1658462492
-20	80	0.990290540572706	-0.3341435438	0.9180518415	0.1618773093
-25	80	0.993101579758200	-0.4144441631	0.8887783760	0.1567156076
-30	80	0.996645162198881	-0.4926122134	0.8532293820	0.1504473608
-35	80	1.00098412352922	-0.5682440053	0.8115365435	0.1430957884
-40	80	1.00580069866193	-0.6406978582	0.7635539743	0.1346351669
-45	80	1.00942709919561	-0.7082885921	0.7082885921	0.1248903889

45	85	0.977348328694060	0.6897709686	0.6897709686	0.06034714018
40	85	0.977499220492621	0.6269179987	0.7471317772	0.06536556066
35	85	0.977537198946351	0.5592579429	0.7987031164	0.06987746820
30	85	0.977676825969091	0.4874412882	0.8442730769	0.07386432315
25	85	0.977967766829075	0.4120138671	0.8835665893	0.07730206004
20	85	0.978535562792403	0.3335535463	0.9164308367	0.08017730912
15	85	0.979400604794785	0.2525872046	0.9426682810	0.08247278805
10	85	0.980380117494441	0.1696128277	0.9619221461	0.08415728298
5	85	0.981525039336199	0.08522247596	0.9740973576	0.08522247596
0	85	0.982801025294784	0.000000000	0.9790611707	0.08565675333
-5	85	0.984297043519274	-0.08546315964	0.9768483846	0.08546315964
-10	85	0.986122153897907	-0.1706062414	0.9675560751	0.08465018790
-15	85	0.988275631385984	-0.2548760721	0.9512104506	0.08322013105
-20	85	0.990842578517899	-0.3377486404	0.9279567630	0.08118569700
-25	85	0.993714565467167	-0.4186479297	0.8977933825	0.07854674316
-30	85	0.997363967178393	-0.4972567254	0.8612739128	0.07535170356
-35	85	1.00179455807982	-0.5731357992	0.8185227492	0.07161146139
-40	85	1.00666487658114	-0.6456233586	0.7694239571	0.06731587369
-45	85	1.01028392538509	-0.7130155149	0.7130155149	0.06238077447

45	90	0.977411826846840	0.6911345308	0.6911345308	0.000000000
40	90	0.977571646490534	0.6283709419	0.7488633275	0.000000000
35	90	0.977611330811575	0.5607348233	0.8008123202	0.000000000
30	90	0.977745682972904	0.4888728415	0.8467525999	0.000000000
25	90	0.978035679596971	0.4133357388	0.8864013524	0.000000000
20	90	0.978611545302244	0.3347048610	0.9195940477	0.000000000
15	90	0.979499971042885	0.2535132472	0.9461243189	0.000000000
10	90	0.980509168985391	0.1702636304	0.9656130315	0.000000000
5	90	0.981682585017880	0.08555927484	0.9779469864	0.000000000
0	90	0.982976577587257	0.000000000	0.9829765776	0.000000000
-5	90	0.984478735503688	-0.08580297541	0.9807324967	0.000000000
-10	90	0.986304227155883	-0.1712699317	0.9713200497	0.000000000
-15	90	0.988459468207869	-0.2558321357	0.9547785286	0.000000000
-20	90	0.991035826016029	-0.3389542153	0.9312690526	0.000000000
-25	90	0.993924431844547	-0.4200506157	0.9008014523	0.000000000
-30	90	0.997608917935606	-0.4988044590	0.8639546660	0.000000000
-35	90	1.00206893456305	-0.5747631285	0.8208468163	0.000000000
-40	90	1.00695276014362	-0.6472567578	0.7713705664	0.000000000
-45	90	1.01056991706520	-0.7145808412	0.7145808412	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	1.01056991701227	-0.7145808412	0.7145808412	8.750802384e-17
-90	40	1.01173994709874	-0.7750377644	0.6503339022	9.491161707e-17
-90	35	1.01044363110998	-0.8277069661	0.5795666571	1.013615210e-16
-90	30	1.00786178420690	-0.8728339086	0.5039308921	1.068877950e-16
-90	25	1.00541634097586	-0.9112166590	0.4249073063	1.115881710e-16
-90	20	1.00348684923472	-0.9429691873	0.3432127160	1.154766058e-16
-90	15	1.00196238401106	-0.9678213437	0.2593269475	1.185200167e-16
-90	10	1.00070179788050	-0.9854988890	0.1737700436	1.206848201e-16
-90	5	0.999781920022988	-0.9959774480	0.08713673583	1.219680311e-16
-90	0	0.999442769354446	-0.9994427694	1.223923966e-16	1.223923966e-16
-90	-5	0.999948813563543	-0.9961437064	-0.08715128156	1.219883912e-16
-90	-10	1.00103370217115	-0.9858257509	-0.1738276782	1.207248478e-16
-90	-15	1.00245372307383	-0.9682959408	-0.2594541154	1.185781361e-16
-90	-20	1.00412634793651	-0.9435701195	-0.3434314374	1.155501964e-16
-90	-25	1.00618500527352	-0.9119133055	-0.4252321579	1.116734828e-16
-90	-30	1.00872844467140	-0.8735844586	-0.5043642223	1.069797079e-16
-90	-35	1.01136541359611	-0.8284620461	-0.5800953698	1.014539886e-16
-90	-40	1.01268617829405	-0.7757626195	-0.6509421279	9.500038329e-17
-90	-45	1.01147997513745	-0.7152243495	-0.7152243495	8.758682827e-17

-85	45	1.01028392284229	-0.7130155131	0.7130155131	0.06238077431
-85	40	1.01141359015742	-0.7730535403	0.6486689406	0.06763342108
-85	35	1.01014659475034	-0.8253468350	0.5779140755	0.07220849154
-85	30	1.00760779321606	-0.8701199714	0.5023639997	0.07612563341
-85	25	1.00522941785779	-0.9081967304	0.4234990905	0.07945691816
-85	20	1.00338071570475	-0.9396991421	0.3420225169	0.08221302206
-85	15	1.00193447358195	-0.9643570192	0.2583986845	0.08437030677
-85	10	1.00074356797693	-0.9819022065	0.1731358514	0.08590531176
-85	5	0.999875316964392	-0.9923087696	0.08681576806	0.08681576806
-85	0	0.999557901181269	-0.9957542816	1.219407020e-16	0.08711721130
-85	-5	1.00004686795271	-0.9924790224	-0.08683066325	0.08683066325
-85	-10	1.00108486391300	-0.9822370768	-0.1731948981	0.08593460911
-85	-15	1.00244004568970	-0.9648436299	-0.2585290715	0.08441287969
-85	-20	1.00403937657138	-0.9403159997	-0.3422470347	0.08226699011
-85	-25	1.00602223915086	-0.9089130223	-0.4238331029	0.07951958558
-85	-30	1.00850378295618	-0.8708937036	-0.5028107142	0.07619332620
-85	-35	1.01110321862014	-0.8261284507	-0.5784613687	0.07227687405
-85	-40	1.01239809271305	-0.7738060250	-0.6493003502	0.06769925495
-85	-45	1.01123446488884	-0.7136863653	-0.7136863653	0.06243946628

-80	45	1.00942705990321	-0.7082885645	0.7082885645	0.1248903841
-80	40	1.01043843795632	-0.7670747158	0.6436521111	0.1352559686
-80	35	1.00925191538999	-0.8182395621	0.5729375094	0.1442777115
-80	30	1.00685945130538	-0.8619738498	0.4976608342	0.1519892464
-80	25	1.00468345270085	-0.8991435979	0.4192775455	0.1585432758
-80	20	1.00306888500278	-0.9298980443	0.3384552090	0.1639661145
-80	15	1.00184564813863	-0.9539708743	0.2556157254	0.1682108040
-80	10	1.00085120867949	-0.9711134424	0.1712335012	0.1712335012
-80	5	1.00012747054888	-0.9812977086	0.08585242505	0.1730292621
-80	0	0.999870827281768	-0.9846805427	1.205846049e-16	0.1736257471
-80	-5	1.00031256924657	-0.9814793224	-0.08586831419	0.1730612855
-80	-10	1.00121990340590	-0.9714711823	-0.1712965804	0.1712965804
-80	-15	1.00239293049964	-0.9544920039	-0.2557553616	0.1683026932
-80	-20	1.00378396273914	-0.9305609593	-0.3386964904	0.1640830043
-80	-25	1.00554750370905	-0.8999168822	-0.4196381339	0.1586796267
-80	-30	1.00784175094741	-0.8628147980	-0.4981463559	0.1521375282
-80	-35	1.01031236337601	-0.8190993083	-0.5735395102	0.1444293079
-80	-40	1.01153790783343	-0.7679093788	-0.6443524765	0.1354031422
-80	-45	1.01049975893268	-0.7090412494	-0.7090412494	0.1250231027

-75	45	1.00800797544824	-0.7003101042	0.7003101042	0.1876475269
-75	40	1.00883498383013	-0.7570293534	0.6352230512	0.2028454039
-75	35	1.00777381153961	-0.8063255257	0.5645952114	0.2160542735
-75	30	1.00568264169317	-0.8484039565	0.4898262526	0.2273291550
-75	25	1.00383948015001	-0.8840919852	0.4122588632	0.2368917335
-75	20	1.00259210218491	-0.9136127396	0.3325278428	0.2448017958
-75	15	1.00171094894340	-0.9367130573	0.2509915073	0.2509915073
-75	10	1.00101248280927	-0.9531775231	0.1680709147	0.2554031476
-75	5	1.00050373288866	-0.9629799383	0.08424982781	0.2580296968
-75	0	1.00033727898757	-0.9662516128	1.183277864e-16	0.2589063393
-75	-5	1.00071002161945	-0.9631784902	-0.08426719885	0.2580828986
-75	-10	1.00142426415554	-0.9535696268	-0.1681400532	0.2555082114
-75	-15	1.00232443424423	-0.9372867355	-0.2511452239	0.2511452239
-75	-20	1.00339780693259	-0.9143469386	-0.3327950694	0.2449985238
-75	-25	1.00481897588406	-0.8849546374	-0.4126611245	0.2371228804
-75	-30	1.00680279953971	-0.8493489328	-0.4903718350	0.2275823606
-75	-35	1.00900488258896	-0.8073105126	-0.5652849066	0.2163181999
-75	-40	1.01012615409714	-0.7579982470	-0.6360360495	0.2031050182
-75	-45	1.00928624281321	-0.7011981761	-0.7011981761	0.1878854850

-70	45	1.00606083182592	-0.6889414823	0.6889414823	0.2507541927
-70	40	1.00667048681187	-0.7428215207	0.6233012641	0.2703649229
-70	35	1.00579872413399	-0.7895566104	0.5528534904	0.2873751044
-70	30	1.00421302520621	-0.8294445463	0.4788800321	0.3018931258
-70	25	1.00282784779792	-0.8631232709	0.4024809911	0.3141511791
-70	20	1.00206693609166	-0.8909642583	0.3242844698	0.3242844698
-70	15	1.00162532837322	-0.9127317663	0.2445657397	0.3322071948
-70	10	1.00129737767202	-0.9282557631	0.1636765360	0.3378574676
-70	5	1.00105309388427	-0.9375192474	0.08202230599	0.3412291001
-70	0	1.00099685192573	-0.9406293552	1.151900685e-16	0.3423610868
-70	-5	1.00128609598572	-0.9377374616	-0.08204139725	0.3413085236
-70	-10	1.00176386034379	-0.9286882173	-0.1637527894	0.3380148680
-70	-15	1.00232400839839	-0.9133684389	-0.2447363356	0.3324389247
-70	-20	1.00299181502631	-0.8917865927	-0.3245837751	0.3245837751
-70	-25	1.00396446459502	-0.8641015449	-0.4029371678	0.3145072417
-70	-30	1.00553265154940	-0.8305345111	-0.4795093236	0.3022898406
-70	-35	1.00726642971287	-0.7907087660	-0.5536602385	0.2877944548
-70	-40	1.00822955391796	-0.7439719554	-0.6242665934	0.2707836469
-70	-45	1.00763036541350	-0.6900162849	-0.6900162849	0.2511453889

-65	45	1.00367728514023	-0.6740123891	0.6740123891	0.3142971387
-65	40	1.00410327158426	-0.7243603699	0.6078105192	0.3377747877
-65	35	1.00351594109046	-0.7679169184	0.5377012150	0.3580855399
-65	30	1.00256889912846	-0.8050811706	0.4648138306	0.3754155153
-65	25	1.00188345882234	-0.8363894732	0.3900148165	0.3900148165
-65	20	1.00173263107913	-0.8621806295	0.3138080857	0.4020414302
-65	15	1.00181723014524	-0.8823109683	0.2364145114	0.4114283614
-65	10	1.00191532955128	-0.8966662602	0.1581064544	0.4181223439
-65	5	1.00196926172505	-0.9052512703	0.07919922379	0.4221255999
-65	0	1.00203572091573	-0.9081527768	1.112129661e-16	0.4234785946
-65	-5	1.00223145915937	-0.9054881583	-0.07921994881	0.4222360626
-65	-10	1.00244200529770	-0.8971376098	-0.1581895660	0.4183421379
-65	-15	1.00261096873061	-0.8830100222	-0.2366018224	0.4117543356
-65	-20	1.00279416002752	-0.8630942762	-0.3141406259	0.4024674707
-65	-25	1.00320396901596	-0.8374918577	-0.3905288669	0.3905288669
-65	-30	1.00412898387591	-0.8063339472	-0.4655371215	0.3759996946
-65	-35	1.00527644173805	-0.7692641000	-0.5386445217	0.3587137410
-65	-40	1.00600259986042	-0.7257305458	-0.6089602333	0.3384137113
-65	-45	1.00562553142986	-0.6753207201	-0.6753207201	0.3149072235

-60	45	1.00105221458423	-0.6553425068	0.6553425068	0.3783621727
-60	40	1.00142262203476	-0.7015796007	0.5886951842	0.4050571713
-60	35	1.00127212462920	-0.7414544642	0.5191720051	0.4280789345
-60	30	1.00109826495145	-0.7754473816	0.4477047545	0.4477047545
-60	25	1.00130368699992	-0.8040651821	0.3749417521	0.4642272493
-60	20	1.00190399524097	-0.8275373690	0.3011989701	0.4777789228
-60	15	1.00254369216090	-0.8457559072	0.2266196123	0.4882974007
-60	10	1.00306903199226	-0.8587288663	0.1514170682	0.4957873421
-60	5	1.00342254058979	-0.8665057954	0.07580943398	0.5002773542
-60	0	1.00361076180531	-0.8691524152	1.064369570e-16	0.5018053809
-60	-5	1.00371219790388	-0.8667559291	-0.07583131784	0.5004217690
-60	-10	1.00365299110719	-0.8592287945	-0.1515052191	0.4960759758
-60	-15	1.00342797437293	-0.8465018965	-0.2268194996	0.4887280978
-60	-20	1.00310321917064	-0.8285278857	-0.3015594886	0.4783507978
-60	-25	1.00282038571581	-0.8052831189	-0.3755096853	0.4649304255
-60	-30	1.00292023509225	-0.7768586736	-0.4485195643	0.4485195643
-60	-35	1.00336461019540	-0.7430039758	-0.5202569848	0.4289735454
-60	-40	1.00372435221975	-0.7031921535	-0.5900482767	0.4059881791
-60	-45	1.00346453033961	-0.6569217382	-0.6569217382	0.3792739424

-55	45	0.998501024264581	-0.6327373924	0.6327373924	0.4430474918
-55	40	0.998961654077802	-0.6743618907	0.5658568137	0.4721932793
-55	35	0.999264735598191	-0.7100423225	0.4971769866	0.4971769866
-55	30	0.999815098196320	-0.7403755180	0.4274560046	0.5184165188
-55	25	1.00087352372283	-0.7658948708	0.3571426436	0.5362853620
-55	20	1.00225323795808	-0.7867733875	0.2863620941	0.5509046568
-55	15	1.00357462918663	-0.8029657362	0.2151540206	0.5622426614
-55	10	1.00460440330403	-0.8144716443	0.1436133259	0.5702991850
-55	5	1.00526031334712	-0.8213544670	0.07185920460	0.5751185893
-55	0	1.00556254021700	-0.8237086105	1.008718798e-16	0.5767669783
-55	-5	1.00557211017598	-0.8216092226	-0.07188149283	0.5752969712
-55	-10	1.00523792837655	-0.8149852676	-0.1437038916	0.5706588279
-55	-15	1.00454631304325	-0.8037431859	-0.2153623376	0.5627870376
-55	-20	1.00358263110272	-0.7878169672	-0.2867419261	0.5516353791
-55	-25	1.00257566715730	-0.7671973959	-0.3577500210	0.5371973999
-55	-30	1.00189329151126	-0.7419144460	-0.4283445051	0.5194940878
-55	-35	1.00169812559733	-0.7117714037	-0.4983877023	0.4983877023
-55	-40	1.00170006467267	-0.6762104899	-0.5674079727	0.4734876825
-55	-45	1.00144844685211	-0.6346051366	-0.6346051366	0.4443553004

-50	45	0.996120842959788	-0.6057614079	0.6057614079	0.5082941739
-50	40	0.996641470852506	-0.6422362398	0.5389001919	0.5389001919
-50	35	0.997293113311586	-0.6732355208	0.4714045867	0.5649116772
-50	30	0.998379899810343	-0.6994479214	0.4038264457	0.5869064929
-50	25	1.00001751922048	-0.7214129071	0.3364003632	0.6053373042
-50	20	1.00185496160650	-0.7392681477	0.2690716009	0.6203196301
-50	15	1.00354372020667	-0.7530587914	0.2017814950	0.6318913541
-50	10	1.00486788042357	-0.7628458250	0.1345103011	0.6401036504
-50	5	1.00573343227545	-0.7687120264	0.06725358783	0.6450259779
-50	0	1.00612419116828	-0.7707358457	9.438480138e-17	0.6467241639
-50	-5	1.00606487713886	-0.7689653596	-0.06727575161	0.6452385496
-50	-10	1.00554264519980	-0.7633580729	-0.1346006242	0.6405334775
-50	-15	1.00458329157982	-0.7538388853	-0.2019905205	0.6325459306
-50	-20	1.00328707664023	-0.7403249045	-0.2694562289	0.6212063543
-50	-25	1.00187145842832	-0.7227503393	-0.3370240181	0.6064595431
-50	-30	1.00067992268386	-0.7010592782	-0.4047567630	0.5882585817
-50	-35	1.00004258242919	-0.6750915852	-0.4727042170	0.5664691002
-50	-40	0.999814623317929	-0.6442810207	-0.5406159669	0.5406159669
-50	-45	0.999640488399468	-0.6079017761	-0.6079017761	0.5100901561

-45	45	0.993769419336417	-0.5737530418	0.5737530418	0.5737530418
-45	40	0.994256952358686	-0.6046279380	0.5073430797	0.6046279380
-45	35	0.995061182696107	-0.6305576085	0.4415211908	0.6305576085
-45	30	0.996375761088739	-0.6522810494	0.3765946395	0.6522810494
-45	25	0.998098088151382	-0.6702657188	0.3125500377	0.6702657188
-45	20	0.999869798194491	-0.6847019177	0.2492111174	0.6847019177
-45	15	1.00142942104814	-0.6957396760	0.1864228843	0.6957396760
-45	10	1.00263528552776	-0.7035229541	0.1240500784	0.7035229541
-45	5	1.00343108768709	-0.7081790729	0.06195764062	0.7081790729
-45	0	1.00380587688299	-0.7097979425	8.692230704e-17	0.7097979425
-45	-5	1.00377259127739	-0.7084200916	-0.06197872703	0.7084200916
-45	-10	1.00333121108938	-0.7040112668	-0.1241361811	0.7040112668
-45	-15	1.00250457327572	-0.6964866344	-0.1866230312	0.6964866344
-45	-20	1.00135946669493	-0.6857220294	-0.2495824077	0.6857220294
-45	-25	1.00004528615620	-0.6715733458	-0.3131597942	0.6715733458
-45	-30	0.998826614348907	-0.6538855095	-0.3775209749	0.6538855095
-45	-35	0.998054630167855	-0.6324545181	-0.4428494212	0.6324545181
-45	-40	0.997806858187953	-0.6067867081	-0.5091545030	0.6067867081
-45	-45	0.997843091609272	-0.5761049775	-0.5761049775	0.5761049775


### -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	1.01147997544961	-0.7152243497	-0.7152243497	8.758682830e-17
-40	-90	1.00774335649209	-0.6477649433	-0.7719761983	9.453669575e-17
-35	-90	1.00263592999996	-0.5750883437	-0.8213112717	1.005783002e-16
-30	-90	0.997791386722962	-0.4988956934	-0.8641126886	1.058197889e-16
-25	-90	0.993511720982658	-0.4198761965	-0.9004274092	1.102669127e-16
-20	-90	0.989767330472439	-0.3385203642	-0.9300770567	1.138978273e-16
-15	-90	0.986334003729862	-0.2552820250	-0.9527254875	1.166713686e-16
-10	-90	0.983279223575577	-0.1707446453	-0.9683410028	1.185836545e-16
-5	-90	0.980901888077328	-0.08549123262	-0.9771692603	1.196647685e-16
-1.42109e-14	-90	0.979558241468818	1.199573246e-16	-0.9795582415	1.199573246e-16
5	-90	0.979233947834534	0.08534586205	-0.9755076670	1.194612887e-16
10	-90	0.979649611157225	0.1701143697	-0.9647665323	1.181459225e-16
15	-90	0.980578841423923	0.2537924794	-0.9471664276	1.159906025e-16
20	-90	0.981951735543214	0.3358472733	-0.9227327999	1.129984450e-16
25	-90	0.983852756964812	0.4157941420	-0.8916734149	1.091948929e-16
30	-90	0.985949110454912	0.4929745552	-0.8538569765	1.045638679e-16
35	-90	0.987810334061775	0.5665847312	-0.8091668545	9.909108713e-17
40	-90	0.989064447381043	0.6357583720	-0.7576673238	9.278442188e-17
45	-90	0.988616341463945	0.6990573190	-0.6990573190	8.560700346e-17

-45	-85	1.01123446786633	-0.7136863674	-0.7136863674	0.06243946646
-40	-85	1.00751443010240	-0.6461682188	-0.7700732961	0.06737268350
-35	-85	1.00244534055095	-0.5735081178	-0.8190544752	0.07165798139
-30	-85	0.997663699970937	-0.4974061635	-0.8615327471	0.07537434863
-25	-85	0.993465967221831	-0.4185431963	-0.8975687809	0.07852709307
-20	-85	0.989808151965559	-0.3373960353	-0.9269879884	0.08110094021
-15	-85	0.986463976912632	-0.2544088468	-0.9494667420	0.08306757632
-10	-85	0.983491283103497	-0.1701510818	-0.9649747367	0.08442435005
-5	-85	0.981172239262179	-0.08519184353	-0.9737472273	0.08519184353
-1.42109e-14	-85	0.979846715788370	1.195360431e-16	-0.9761181032	0.08539926829
5	-85	0.979497783895276	0.08504645627	-0.9720854434	0.08504645627
10	-85	0.979857405624469	0.1695223948	-0.9614092755	0.08411241262
15	-85	0.980713457881819	0.2529257891	-0.9439318956	0.08258334001
20	-85	0.982007855977545	0.3347371474	-0.9196827538	0.08046181500
25	-85	0.983833457606365	0.4144850589	-0.8888660773	0.07776570516
30	-85	0.985876738597977	0.4915295266	-0.8513541136	0.07448383358
35	-85	0.987710535630182	0.5650782015	-0.8070153072	0.07060469067
40	-85	0.988957129698229	0.6342665155	-0.7558893986	0.06613175325
45	-85	0.988518445750056	0.6976543631	-0.6976543631	0.06103684783

-45	-80	1.01049979836084	-0.7090412770	-0.7090412770	0.1250231076
-40	-80	1.00682751433007	-0.6413519427	-0.7643334818	0.1347726151
-35	-80	1.00188507304270	-0.5687554611	-0.8122669781	0.1432245838
-30	-80	0.997292207327097	-0.4929320286	-0.8537833182	0.1505450347
-25	-80	0.993331037006573	-0.4145399209	-0.8889837293	0.1567518169
-20	-80	0.989918531047605	-0.3340180205	-0.9177069689	0.1618164990
-15	-80	0.986822911934848	-0.2517827521	-0.9396660233	0.1656884728
-10	-80	0.984076063424583	-0.1683634774	-0.9548367282	0.1683634774
-5	-80	0.981915804337319	-0.08428910861	-0.9634289200	0.1698785126
-1.42109e-14	-80	0.980638758369412	1.182652139e-16	-0.9657406521	0.1702861333
5	-80	0.980221606018105	0.08414367612	-0.9617666190	0.1695854041
10	-80	0.980427054640738	0.1677391762	-0.9512961405	0.1677391762
15	-80	0.981081101625267	0.2503177589	-0.9341985944	0.1647244175
20	-80	0.982157284171730	0.3313992228	-0.9105118815	0.1605478110
25	-80	0.983771730024182	0.4105506020	-0.8804286071	0.1552433180
30	-80	0.985667393676069	0.4871862272	-0.8438312983	0.1487902250
35	-80	0.987426343108831	0.5605474522	-0.8005447265	0.1411576345
40	-80	0.988635747912948	0.6297637366	-0.7505231956	0.1323374890
45	-80	0.988224885450592	0.6934115533	-0.6934115533	0.1222671656

-45	-75	1.00928629488654	-0.7011982123	-0.7011982123	0.1878854947
-40	-75	1.00569589131674	-0.6332464902	-0.7546737797	0.2022142298
-35	-75	1.00100976816365	-0.5608057236	-0.8009135764	0.2146041460
-30	-75	0.996726295483382	-0.4854639883	-0.8408482930	0.2253046211
-25	-75	0.993132208909423	-0.4078615790	-0.8746619788	0.2343649709
-20	-75	0.990090258066879	-0.3283813796	-0.9022204255	0.2417492344
-15	-75	0.987359377350068	-0.2473955372	-0.9232927144	0.2473955372
-10	-75	0.984935472888363	-0.1653715700	-0.9378687785	0.2513011818
-5	-75	0.982997312780955	-0.08277565751	-0.9461300948	0.2535147948
-1.42109e-14	-75	0.981784359071054	1.161332007e-16	-0.9483308683	0.2541044903
5	-75	0.981266791901326	0.08262993483	-0.9444644769	0.2530684939
10	-75	0.981250544629527	0.1647528672	-0.9343599403	0.2503609914
15	-75	0.981613128244261	0.2459557409	-0.9179193214	0.2459557409
20	-75	0.982370111172284	0.3258208530	-0.8951854364	0.2398642148
25	-75	0.983668742125502	0.4039751030	-0.8663274041	0.2321317283
30	-75	0.985342516186597	0.4799194222	-0.8312448227	0.2227313790
35	-75	0.987015481159741	0.5529655641	-0.7897166682	0.2116039435
40	-75	0.988100696462627	0.6221674995	-0.7414703528	0.1986763822
45	-75	0.987730532077641	0.6862224196	-0.6862224196	0.1838727432

-45	-70	1.00763057795234	-0.6900164305	-0.6900164305	0.2511454418
-40	-70	1.00418253754372	-0.6217607978	-0.7409856645	0.2696967259
-35	-70	0.999957973919584	-0.5496430279	-0.7849715947	0.2857062952
-30	-70	0.996067167636509	-0.4749955092	-0.8227163552	0.2994442645
-25	-70	0.992949785708224	-0.3985164700	-0.8546213278	0.3110567249
-20	-70	0.990371888970198	-0.3204997704	-0.8805658821	0.3204997704
-15	-70	0.988077539031597	-0.2412577911	-0.9003863339	0.3277138249
-10	-70	0.986024491353798	-0.1611799619	-0.9140969876	0.3327040947
-5	-70	0.984331450668065	-0.08065220110	-0.9218588769	0.3355291914
-1.42109e-14	-70	0.983180282592862	1.131398204e-16	-0.9238872565	0.3362674612
5	-70	0.982538976334272	0.08050533289	-0.9201801656	0.3349181904
10	-70	0.982262514031159	0.1605650123	-0.9106094352	0.3314347294
15	-70	0.982282419310415	0.2398428031	-0.8951055271	0.3257917684
20	-70	0.982656178748574	0.3180028464	-0.8737056398	0.3180028464
25	-70	0.983558113839485	0.3947471596	-0.8465380157	0.3081146399
30	-70	0.984919128580407	0.4696793330	-0.8135084681	0.2960928677
35	-70	0.986406457059063	0.5421942181	-0.7743335918	0.2818343788
40	-70	0.987327421921979	0.6113245975	-0.7285482853	0.2651698901
45	-70	0.987012971868739	0.6758976778	-0.6758976778	0.2460066361

-45	-65	1.00562571703335	-0.6753208448	-0.6753208448	0.3149072816
-40	-65	1.00240238036539	-0.6067809244	-0.7231333465	0.3372026173
-35	-65	0.998765222814740	-0.5351556979	-0.7642815432	0.3563903366
-30	-65	0.995475599394946	-0.4615252149	-0.7993851211	0.3727594038
-25	-65	0.992966573861351	-0.3865436371	-0.8289455049	0.3865436371
-20	-65	0.990926651400227	-0.3104229471	-0.8528800376	0.3977044930
-15	-65	0.989105490957819	-0.2334147231	-0.8711156060	0.4062078782
-10	-65	0.987430274002957	-0.1558206517	-0.8837028289	0.4120773966
-5	-65	0.985971861397629	-0.07793473222	-0.8907980654	0.4153859598
-1.42109e-14	-65	0.984864290270898	1.093071600e-16	-0.8925901754	0.4162216344
5	-65	0.984080525474177	0.07778523428	-0.8890892962	0.4145891476
10	-65	0.983525207821656	0.1552044158	-0.8802079815	0.4104477226
15	-65	0.983176714308046	0.2320156168	-0.8658940700	0.4037730360
20	-65	0.983125734684527	0.3079791905	-0.8461658715	0.3945736260
25	-65	0.983564711120855	0.3828836647	-0.8210966688	0.3828836647
30	-65	0.984517646934579	0.4564448579	-0.7905856848	0.3686561593
35	-65	0.985643225103224	0.5281247043	-0.7542402438	0.3517080018
40	-65	0.986340570560377	0.5970582820	-0.7115463526	0.3317995134
45	-65	0.986072630630331	0.6621901077	-0.6621901077	0.3087843184

-45	-60	1.00346500695669	-0.6569220502	-0.6569220502	0.3792741225
-40	-60	1.00060827440723	-0.5882164627	-0.7010090826	0.4047277825
-35	-60	0.997721763468833	-0.5173310988	-0.7388253776	0.4265610307
-30	-60	0.995289129416971	-0.4451068301	-0.7709476446	0.4451068301
-25	-60	0.993485590371898	-0.3720142378	-0.7977871075	0.4606026013
-20	-60	0.992017935456161	-0.2982269577	-0.8193718322	0.4730645479
-15	-60	0.990634515196301	-0.2239276069	-0.8357092061	0.4824969351
-10	-60	0.989273959734080	-0.1493346499	-0.8469188847	0.4889688461
-5	-60	0.987998243923072	-0.07464411513	-0.8531861400	0.4925872476
-1.42109e-14	-60	0.986903285393357	1.046650620e-16	-0.8546833162	0.4934516427
5	-60	0.985972011820482	0.07449103156	-0.8514363868	0.4915770271
10	-60	0.985157070892020	0.1487131899	-0.8433944102	0.4869339897
15	-60	0.984469894729184	0.2225341276	-0.8305086705	0.4794944045
20	-60	0.983988246613962	0.2958130198	-0.8127395924	0.4692354225
25	-60	0.983906596582345	0.3684273493	-0.7900950002	0.4561615610
30	-60	0.984317811643127	0.4402003077	-0.7624492984	0.4402003077
35	-60	0.984915122713704	0.5106906969	-0.7293419008	0.4210857428
40	-60	0.985278775575222	0.5792048806	-0.6902694973	0.3985272801
45	-60	0.984993482912685	0.6448295992	-0.6448295992	0.3722925427

-45	-55	1.00144853737905	-0.6346051939	-0.6346051939	0.4443553406
-40	-55	0.999092506178645	-0.5659309343	-0.6744502241	0.4722551310
-35	-55	0.996999769322118	-0.4960500690	-0.7084329172	0.4960500690
-30	-55	0.995492050435521	-0.4256077502	-0.7371742474	0.5161749650
-25	-55	0.994485427262690	-0.3548631731	-0.7610065306	0.5328625093
-20	-55	0.993570382255402	-0.2838812433	-0.7799573059	0.5461319851
-15	-55	0.992525149414789	-0.2127851484	-0.7941249849	0.5560523007
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-5	-55	0.990241418791767	-0.07078560625	-0.8090831817	0.5665261429
-1.42109e-14	-55	0.989131865613902	9.922365509e-17	-0.8102493898	0.5673427306
5	-55	0.988048456716588	0.07062884634	-0.8072914078	0.5652715293
10	-55	0.986989921976237	0.1410952459	-0.8001909030	0.5602997023
15	-55	0.986021767580471	0.2113909036	-0.7889215923	0.5524088460
20	-55	0.985136117071128	0.2814714194	-0.7733363691	0.5414959552
25	-55	0.984488183557671	0.3512958472	-0.7533563755	0.5275058131
30	-55	0.984287746285480	0.4208175174	-0.7288773208	0.5103653944
35	-55	0.984352118085251	0.4897573210	-0.6994459418	0.4897573210
40	-55	0.984366353452946	0.5575893790	-0.6645091456	0.4652943130
45	-55	0.983971154724875	0.6235299990	-0.6235299990	0.4366004056

-45	-50	0.999640834743007	-0.6079019867	-0.6079019867	0.5100903328
-40	-50	0.997742785831961	-0.5394956908	-0.6429459277	0.5394956908
-35	-50	0.996357417006805	-0.4709622979	-0.6726038670	0.5643816567
-30	-50	0.995647757359923	-0.4027213439	-0.6975338290	0.5853003787
-25	-50	0.995304170279003	-0.3348148187	-0.7180126959	0.6024841883
-20	-50	0.994936193814138	-0.2672134039	-0.7341627933	0.6160357291
-15	-50	0.994352249170215	-0.1999333755	-0.7461615153	0.6261038523
-10	-50	0.993528122177844	-0.1329923759	-0.7542372433	0.6328801927
-5	-50	0.992514169057926	-0.06636961316	-0.7586081497	0.6365478186
-1.42109e-14	-50	0.991378165929990	9.300147249e-17	-0.7594397350	0.6372456016
5	-50	0.990143522905323	0.06621108760	-0.7567961942	0.6350274075
10	-50	0.988821680745554	0.1323623778	-0.7506643466	0.6298821763
15	-50	0.987448844145065	0.1985453150	-0.7409812031	0.6217570542
20	-50	0.986097707720712	0.2648396215	-0.7276408799	0.6105631940
25	-50	0.984928612307128	0.3313245384	-0.7105277655	0.5962035860
30	-50	0.984166523923803	0.3980773946	-0.6894902728	0.5785510336
35	-50	0.983770558575828	0.4650126902	-0.6641069466	0.5572518940
40	-50	0.983503262759751	0.5317961499	-0.6337699722	0.5317961499
45	-50	0.983053767084719	0.5978150524	-0.5978150524	0.5016263900

-45	-45	0.997843392078187	-0.5761051510	-0.5761051510	0.5761051510
-40	-45	0.996278114709057	-0.5083744255	-0.6058570480	0.6058570480
-35	-45	0.995387297385971	-0.4416658920	-0.6307642633	0.6307642633
-30	-45	0.995117815447523	-0.3761191807	-0.6514575307	0.6514575307
-25	-45	0.995038851702380	-0.3115920512	-0.6682113102	0.6682113102
-20	-45	0.994845770030352	-0.2479589107	-0.6812615081	0.6812615081
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-10	-45	0.993705821956472	-0.1229452891	-0.6972573831	0.6972573831
-5	-45	0.992777620561148	-0.06129983393	-0.7006603079	0.7006603079
-1.42109e-14	-45	0.991673651046049	8.587174429e-17	-0.7012191634	0.7012191634
5	-45	0.990422844526594	0.06115443643	-0.6989984070	0.6989984070
10	-45	0.989047424480099	0.1223689334	-0.6939887074	0.6939887074
15	-45	0.987579597079448	0.1838446456	-0.6861175580	0.6861175580
20	-45	0.986085417489521	0.2457754492	-0.6752624968	0.6752624968
25	-45	0.984696232138286	0.3083533052	-0.6612657971	0.6612657971
30	-45	0.983613066103635	0.3717707942	-0.6439259043	0.6439259043
35	-45	0.982932261061099	0.4361394354	-0.6228716653	0.6228716653
40	-45	0.982507017060850	0.5013473979	-0.5974825626	0.5974825626
45	-45	0.982092769629084	0.5670115249	-0.5670115249	0.5670115249