path: root/test/Kerr-definition-expansion-product/h.t0.ah1.gp

# 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	2.45408260618409	-0.9168652533	-0.7168652533	1.416865253
-40	-45	2.43725213137270	-0.7436654323	-0.7821427469	1.482142747
-35	-45	2.41466289948897	-0.5714163684	-0.8301411509	1.530141151
-30	-45	2.38838704530769	-0.4027254509	-0.8635663463	1.563566346
-25	-45	2.35950763835029	-0.2388694658	-0.8845106828	1.584510683
-20	-45	2.32864343362670	-0.08039940117	-0.8946342490	1.594634249
-15	-45	2.29616169308619	0.07255391472	-0.8952505078	1.595250508
-10	-45	2.26227001687274	0.2201028361	-0.8873756970	1.587375697
-5	-45	2.22706426470012	0.3624881678	-0.8717674343	1.571767434
0	-45	2.19055583046515	0.5000000000	-0.8489568823	1.548956882
5	-45	2.15269222743349	0.6329196723	-0.8192788070	1.519278807
10	-45	2.11337612708281	0.7614754118	-0.7829007491	1.482900749
15	-45	2.07247146389529	0.8858046307	-0.7398424837	1.439842484
20	-45	2.02981424411665	1.005918147	-0.6899986859	1.389998686
25	-45	1.98522257543262	1.121663740	-0.6331621934	1.333162193
30	-45	1.93850944692676	1.232687702	-0.5690523251	1.269052325
35	-45	1.88949881568305	1.338394444	-0.4973513542	1.197351354
40	-45	1.83805182236631	1.437909330	-0.4177568139	1.117756814
45	-45	1.78409629752726	1.530048478	-0.3300484776	1.030048478

-45	-40	2.40545502732653	-0.9628062792	-0.5274402094	1.462806279
-40	-40	2.38579430048793	-0.7900376354	-0.5900376354	1.537406987
-35	-40	2.36153946567533	-0.6162621308	-0.6376821744	1.594187537
-30	-40	2.33355830870839	-0.4438817406	-0.6718029811	1.634851131
-25	-40	2.30277801501697	-0.2746417896	-0.6939330152	1.661224679
-20	-40	2.26984725299198	-0.1096206113	-0.7054238011	1.674918864
-15	-40	2.23519324509042	0.05057201243	-0.7074118126	1.677288084
-10	-40	2.19908988124981	0.2056327028	-0.7008264051	1.669439901
-5	-40	2.16169948498038	0.3554467402	-0.6864034737	1.652251321
0	-40	2.12310190591714	0.5000000000	-0.6647035992	1.626390417
5	-40	2.08331628154923	0.6393117600	-0.6361324965	1.592340703
10	-40	2.04232163443822	0.7733825046	-0.6009645934	1.550429228
15	-40	2.00006372401970	0.9021507386	-0.5593601548	1.500846989
20	-40	1.95646942662136	1.025455661	-0.5113893103	1.443677563
25	-40	1.91146028036315	1.143004668	-0.4570579425	1.378927960
30	-40	1.86496361912343	1.254343742	-0.3963354303	1.306561688
35	-40	1.81692955291195	1.358833690	-0.3291906235	1.226541623
40	-40	1.76735458478673	1.455637261	-0.2556372605	1.138884138
45	-40	1.71630496940393	1.543720069	-0.1757851247	1.043720069

-45	-35	2.35789560950488	-0.9941684417	-0.3462280062	1.494168442
-40	-35	2.33423752736925	-0.8222171285	-0.4033569390	1.575757013
-35	-35	2.30713731060683	-0.6478995856	-0.4478995856	1.639370505
-30	-35	2.27678371124491	-0.4734048529	-0.4805405698	1.685986662
-25	-35	2.24376117086790	-0.3006434151	-0.5022460813	1.716985345
-20	-35	2.20862904576084	-0.1310457425	-0.5140085761	1.733783928
-15	-35	2.17182399574433	0.03438772659	-0.5167426995	1.737688661
-10	-35	2.13366264366621	0.1949820371	-0.5112489879	1.729842828
-5	-35	2.09436512074110	0.3502881197	-0.4982053781	1.711214622
0	-35	2.05407787945988	0.5000000000	-0.4781706701	1.682602094
5	-35	2.01289304467215	0.6438879972	-0.4515944606	1.644647334
10	-35	1.97086601172382	0.7817453536	-0.4188317277	1.597857302
15	-35	1.92802056109171	0.9133438245	-0.3801542606	1.542620154
20	-35	1.88436204119082	1.038396724	-0.3357699873	1.479232843
25	-35	1.83988995875848	1.156529670	-0.2858448937	1.407932420
30	-35	1.79461101996188	1.267259124	-0.2305280539	1.328931785
35	-35	1.74855447592384	1.369980711	-0.1699807112	1.242461219
40	-35	1.70179222670079	1.463971663	-0.1044101082	1.148816693
45	-35	1.65445489520697	1.548407013	-0.03410249352	1.048407013

-45	-30	2.30940910446852	-1.011863147	-0.1728745951	1.511863147
-40	-30	2.28229877545837	-0.8416696092	-0.2231481951	1.598939577
-35	-30	2.25202539097761	-0.6677030739	-0.2628198031	1.667652817
-30	-30	2.21890065948505	-0.4923225420	-0.2923225420	1.718753060
-25	-30	2.18337751470363	-0.3175735308	-0.3122636630	1.753292095
-20	-30	2.14593896097889	-0.1451262875	-0.3233359782	1.772469908
-15	-30	2.10701091924587	0.02372150820	-0.3262375227	1.777495530
-10	-30	2.06693896209006	0.1879877377	-0.3216267691	1.769509470
-5	-30	2.02599537758958	0.3469343107	-0.3101024904	1.749548834
0	-30	1.98439340973194	0.5000000000	-0.2921967049	1.718535104
5	-30	1.94230048306155	0.6467424682	-0.2683746453	1.677274086
10	-30	1.89984658054905	0.7867890346	-0.2390379491	1.626461438
15	-30	1.85712162650856	0.9197923605	-0.2045268252	1.566686418
20	-30	1.81418307589371	1.045391651	-0.1651312299	1.498451245
25	-30	1.77106898296583	1.163183124	-0.1211080145	1.422200800
30	-30	1.72781853387688	1.272703939	-0.07270393891	1.338362481
35	-30	1.68449032069545	1.373429107	-0.02017866466	1.247386038
40	-30	1.64118053471399	1.464782556	0.03617243075	1.149783077
45	-30	1.59803188192415	1.546157437	0.09600072190	1.046157437

-45	-25	2.26027469414914	-1.017871500	-0.007795104682	1.517871500
-40	-25	2.22989277662743	-0.8498136344	-0.05012359848	1.608645248
-35	-25	2.19644990765394	-0.6768958874	-0.08376129246	1.680781516
-30	-25	2.16043157117155	-0.5016253997	-0.1089813401	1.734866082
-25	-25	2.12230810187220	-0.3261755374	-0.1261755374	1.771739157
-20	-25	2.08254452104575	-0.1523889601	-0.1358210083	1.792423937
-15	-25	2.04156569104374	0.01821975018	-0.1384343987	1.798028370
-10	-25	1.99974230321570	0.1844322510	-0.1345385228	1.789673638
-5	-25	1.95739635535079	0.3452804114	-0.1246431725	1.768452990
0	-25	1.91481443325667	0.5000000000	-0.1092355473	1.735411232
5	-25	1.87225470356436	0.6479896888	-0.08877333872	1.691529884
10	-25	1.82993022551617	0.7887706887	-0.06367203153	1.637699957
15	-25	1.78797710738931	0.9219369777	-0.03429011739	1.574690238
20	-25	1.74645484479941	1.047103723	-0.0009327458073	1.503155124
25	-25	1.70538077914991	1.163873394	0.03612660649	1.423681087
30	-25	1.66477732574534	1.271828776	0.07661816745	1.336846654
35	-25	1.62469291710573	1.370538593	0.1202592938	1.243257957
40	-25	1.58521579847528	1.459573447	0.1667421718	1.143575103
45	-25	1.54647218295830	1.538522467	0.2157290203	1.038522467

-45	-20	2.21092490014200	-1.014021647	0.1489411863	1.514021647
-40	-20	2.17723700061905	-0.8480822101	0.1152520397	1.606581817
-35	-20	2.14065617339068	-0.6766461906	0.08837535122	1.680424912
-30	-20	2.10176466111294	-0.5022705373	0.06815368115	1.735983494
-25	-20	2.06107786171974	-0.3272054495	0.05433579960	1.773947811
-20	-20	2.01907157588605	-0.1534030133	0.04659698673	1.795210025
-15	-20	1.97617690985529	0.01747908724	0.04456510929	1.800792562
-10	-20	1.93278150682273	0.1840589130	0.04784143074	1.791790943
-5	-20	1.88924736858724	0.3452025905	0.05601200034	1.769342487
0	-20	1.84594381543749	0.5000000000	0.06865003167	1.734619782
5	-20	1.80327348113500	0.6477530514	0.08531793069	1.688825106
10	-20	1.76159854804702	0.7879587570	0.1056019345	1.633095263
15	-20	1.72105016255952	0.9202268993	0.1291825193	1.568308139
20	-20	1.68157406377379	1.044183561	0.1558164389	1.495132046
25	-20	1.64308541138531	1.159445832	0.1852783352	1.414186151
30	-20	1.60555591388981	1.265642994	0.2173272190	1.326132567
35	-20	1.56901500698355	1.362434404	0.2517036951	1.231683975
40	-20	1.53353604595695	1.449521187	0.2881329985	1.131595286
45	-20	1.49921929324571	1.526651997	0.3263292321	1.026651997

-45	-15	2.16159271254996	-1.001759167	0.2976048439	1.501759167
-40	-15	2.12455024134750	-0.8377443372	0.2728188864	1.594261620
-35	-15	2.08488381829663	-0.6680353335	0.2530266282	1.668127333
-30	-15	2.04322199020572	-0.4951685843	0.2381406527	1.723682550
-25	-15	2.00011306824570	-0.3214105503	0.2280019752	1.761520610
-20	-15	1.95604375334486	-0.1487573644	0.2223949776	1.782446209
-15	-15	1.91144199856948	0.02106372726	0.2210637273	1.787414503
-10	-15	1.86668417379609	0.1865820137	0.2237252065	1.777481728
-5	-15	1.82212841833633	0.3465632856	0.2300734741	1.753789670
0	-15	1.77820283190124	0.5000000000	0.2397672410	1.717612040
5	-15	1.73556900725161	0.6461477706	0.2523971276	1.670476662
10	-15	1.69513335767995	0.7846144468	0.2674955083	1.614128738
15	-15	1.65672202652889	0.9151129215	0.2848870785	1.549222514
20	-15	1.61987856391261	1.037262086	0.3044760571	1.476115450
25	-15	1.58436555576756	1.150670506	0.3261124310	1.395367404
30	-15	1.55014247294659	1.255010027	0.3495986270	1.307715727
35	-15	1.51725069812427	1.350024548	0.3747201669	1.213960864
40	-15	1.48576091903354	1.435524243	0.4012595930	1.114914377
45	-15	1.45575120909138	1.511378189	0.4290020309	1.011378189

-45	-10	2.11235483394741	-0.9821841345	0.4386509467	1.482184134
-40	-10	2.07196687841210	-0.8198486968	0.4226492218	1.572934426
-35	-10	2.02931948586378	-0.6520149076	0.4098984240	1.645247794
-30	-10	1.98506312833195	-0.4811579671	0.4003472049	1.699415449
-25	-10	1.93976302318104	-0.3095077878	0.3938972338	1.735995053
-20	-10	1.89390587362074	-0.1390411645	0.3904136974	1.755751170
-15	-10	1.84789714017375	0.02851862082	0.3897363739	1.759592462
-10	-10	1.80205370096411	0.1916904711	0.3916904711	1.748510226
-5	-10	1.75661684971156	0.3492094049	0.3960926219	1.723544388
0	-10	1.71186992989074	0.5000000000	0.4027369063	1.685862779
5	-10	1.66866475356726	0.6432406567	0.4113089685	1.637248198
10	-10	1.63072394235209	0.7789970854	0.4210029146	1.582271098
15	-10	1.59546874459236	0.9070755822	0.4321193332	1.519226755
20	-10	1.56171848957110	1.026954595	0.4447145290	1.447795850
25	-10	1.52935188621680	1.138233767	0.4586618379	1.368696731
30	-10	1.49846616980536	1.240647489	0.4738008581	1.282839081
35	-10	1.46916306376343	1.334022323	0.4899756430	1.191107318
40	-10	1.44152104711296	1.418252939	0.5070398768	1.094331239
45	-10	1.41559825314781	1.493288267	0.5248564790	0.9932882667

-45	-5	2.06318660467771	-0.9561095374	0.5726069226	1.456109537
-40	-5	2.01953784938283	-0.7952282726	0.5649531160	1.543592947
-35	-5	1.97408386629397	-0.6293913759	0.5588862063	1.612938042
-30	-5	1.92748347951291	-0.4609873174	0.5543769691	1.664478859
-25	-5	1.88030674077624	-0.2921656295	0.5513738494	1.698804675
-20	-5	1.83303119703582	-0.1248255859	0.5498087198	1.716694188
-15	-5	1.78603006703601	0.03938323114	0.5496030343	1.719045184
-10	-5	1.73953488255580	0.1990479253	0.5506757463	1.706784030
-5	-5	1.69353866082502	0.3529558065	0.5529558065	1.680722822
0	-5	1.64755652671443	0.5000000000	0.5564059872	1.641287077
5	-5	1.60084110733783	0.6389955807	0.5610044193	1.588726757
10	-5	1.56941852900024	0.7715207192	0.5652787864	1.539870518
15	-5	1.53812953766441	0.8966832758	0.5704780958	1.480442140
20	-5	1.50746602619961	1.013850143	0.5764842340	1.411791665
25	-5	1.47811472900277	1.122723761	0.5831645404	1.335435414
30	-5	1.45040828823558	1.223131474	0.5904204092	1.252500454
35	-5	1.42450095723794	1.314969984	0.5981721407	1.163897758
40	-5	1.40046861850077	1.398188935	0.6063503944	1.070419890
45	-5	1.37834547929776	1.472777738	0.6148929758	0.9727777379

-45	0	2.01399666678408	-0.9241107004	0.7000000000	1.424110700
-40	0	1.96725177504203	-0.7645250661	0.7000000000	1.507002290
-35	0	1.91924181129327	-0.6008318786	0.7000000000	1.572150853
-30	0	1.87062259082062	-0.4353112954	0.7000000000	1.620006685
-25	0	1.82195802013880	-0.2699927314	0.7000000000	1.651254741
-20	0	1.77371356648979	-0.1066457682	0.7000000000	1.666745550
-15	0	1.72624365929117	0.05321526449	0.7000000000	1.667423333
-10	0	1.67975934296615	0.2083128512	0.7000000000	1.654240024
-5	0	1.63423911257161	0.3575666763	0.7000000000	1.628020339
0	0	1.58927018948279	0.5000000000	0.7000000000	1.589270189
5	0	1.54467174837081	0.6346270135	0.7000000000	1.538793806
10	0	1.51500717592518	0.7630782353	0.7000000000	1.491990813
15	0	1.48567748841193	0.8845216289	0.7000000000	1.435054256
20	0	1.45733351896289	0.9984374190	0.7000000000	1.369445554
25	0	1.43061568242275	1.104604313	0.7000000000	1.296578133
30	0	1.40580557643634	1.202902788	0.7000000000	1.217463342
35	0	1.38301640378794	1.293265620	0.7000000000	1.132900714
40	0	1.36229173939300	1.375664251	0.7000000000	1.043576017
45	0	1.34363707831731	1.450094890	0.7000000000	0.9500948895

-45	5	1.96465481528015	-0.8865699824	0.8213091546	1.386569982
-40	5	1.91505800867973	-0.7282202471	0.8280602969	1.463735892
-35	5	1.86481914887352	-0.5668800350	0.8333032041	1.523662595
-30	5	1.81457606365122	-0.4046949570	0.8370927787	1.566977631
-25	5	1.76487264262504	-0.2435337105	0.8395018278	1.594513188
-20	5	1.71615655652850	-0.08498651173	0.8406150374	1.607237232
-15	5	1.66878019747973	0.06962194720	0.8405236579	1.606192760
-10	5	1.62300777153706	0.2192079556	0.8393213937	1.592450817
-5	5	1.57904649933939	0.3628967709	0.8371032291	1.567097079
0	5	1.53724074561344	0.5000000000	0.8339793590	1.531391080
5	5	1.49885970327739	0.6301408827	0.8301408827	1.487517096
10	5	1.46678325656590	0.7537640771	0.8259108497	1.439167597
15	5	1.43780820637275	0.8708104261	0.8210741048	1.383883350
20	5	1.41114359009215	0.9810167016	0.8156234890	1.321582526
25	5	1.38668841070799	1.084206222	0.8096087974	1.252834287
30	5	1.36446069091053	1.180280497	0.8030861760	1.178280384
35	5	1.34447171435520	1.269184524	0.7961071145	1.098509345
40	5	1.32671591279655	1.350887722	0.7887177480	1.014048499
45	5	1.31117159371023	1.425369261	0.7809593199	0.9253692605

-45	10	1.91500603950724	-0.8437096474	0.9369322651	1.343709647
-40	10	1.86288270513842	-0.6866614936	0.9493630440	1.414208098
-35	10	1.81081565173390	-0.5279734858	0.9588653379	1.468098285
-30	10	1.75940600518869	-0.3696223283	0.9655889980	1.506230056
-25	10	1.70915519207808	-0.2132698283	0.9697118802	1.529612083
-20	10	1.66047568639393	-0.06027721918	0.9714287629	1.539349008
-15	10	1.61370623029745	0.08827121785	0.9709427573	1.536592734
-10	10	1.56914527887082	0.2315382769	0.9684617231	1.522522089
-5	10	1.52711449939277	0.3689102270	0.9642018171	1.498362962
0	10	1.48806981165417	0.5000000000	0.9584006110	1.465462688
5	10	1.45266964646228	0.6246993164	0.9513223209	1.425319709
10	10	1.42137796888107	0.7431805288	0.9431805288	1.379145312
15	10	1.39350660580871	0.8555459891	0.9339710383	1.326915696
20	10	1.36850462084257	0.9617604279	0.9237018701	1.268676349
25	10	1.34610143498198	1.061759133	0.9124204699	1.204696349
30	10	1.32617346562094	1.155488303	0.9001909058	1.135339045
35	10	1.30865833750530	1.242906144	0.8870793874	1.060979928
40	10	1.29351351178388	1.323971725	0.8731480280	0.9819712634
45	10	1.28070457030502	1.398636898	0.8584539309	0.8986368978

-45	15	1.86488785484873	-0.7956244790	1.047161533	1.295624479
-40	15	1.81064543348900	-0.6400910311	1.064064599	1.358707582
-35	15	1.75722300820783	-0.4844666376	1.076726936	1.405964066
-30	15	1.70515594282663	-0.3305106512	1.085441335	1.438486644
-25	15	1.65487400913828	-0.1796270631	1.090526554	1.457464940
-20	15	1.60672268074312	-0.03289869920	1.092311686	1.464127143
-15	15	1.56098804885093	0.1088744527	1.091125547	1.459700415
-10	15	1.51793475441157	0.2451373614	1.087293186	1.445397849
-5	15	1.47785606710824	0.3755535686	1.081138761	1.422429220
0	15	1.44110086555807	0.5000000000	1.072984350	1.391996544
5	15	1.40797651598072	0.6185620554	1.063116840	1.355170495
10	15	1.37848668171497	0.7314491792	1.051713733	1.312613522
15	15	1.35231355246215	0.8388394798	1.038839480	1.264566154
20	15	1.32911174881921	0.9408240019	1.024527734	1.211153991
25	15	1.30864333257602	1.037436336	1.008821075	1.152535943
30	15	1.29076637272148	1.128678700	0.9917707999	1.088903449
35	15	1.27540214990357	1.214531315	0.9734304878	1.020456473
40	15	1.26250332450296	1.294947862	0.9538502341	0.9473819710
45	15	1.25204413824481	1.369853396	0.9330765151	0.8698533963

-45	20	1.81413909644515	-0.7423062689	1.152162504	1.242306269
-40	20	1.75827120599427	-0.5886707017	1.172224889	1.297427220
-35	20	1.70403645097203	-0.4366511183	1.186874403	1.337676428
-30	20	1.65186702601474	-0.2877274190	1.196595132	1.364383912
-25	20	1.60208334007474	-0.1429898133	1.201877138	1.378896104
-20	20	1.55492542744430	-0.003198089578	1.203198090	1.382525389
-15	20	1.51058144384180	0.1311630131	1.201011715	1.376518375
-10	20	1.46922173167686	0.2598344617	1.195744366	1.362046451
-5	20	1.43105024872678	0.3827454387	1.187802287	1.340225769
0	20	1.39637314859993	0.5000000000	1.177587744	1.312161544
5	20	1.36555684054715	0.6118882921	1.165477540	1.278889031
10	20	1.33827926388950	0.7187610984	1.151561797	1.240655840
15	20	1.31412216010485	0.8208677427	1.135852433	1.197494718
20	20	1.29280676017484	0.9183724058	1.118372406	1.149468738
25	20	1.27416756546007	1.011382114	1.099152501	1.096662482
30	20	1.25810720340476	1.099954793	1.078220464	1.039152184
35	20	1.24457565313241	1.184101080	1.055598043	0.9769975945
40	20	1.23355513825260	1.263781681	1.031300107	0.9102395627
45	20	1.22505160869316	1.338904413	1.005336236	0.8389044127

-45	25	1.76261207066086	-0.6836696819	1.251954237	1.183669682
-40	25	1.70570531898680	-0.5325089709	1.273789837	1.230496275
-35	25	1.65126806112358	-0.3847780153	1.289223540	1.263593959
-30	25	1.59958683646375	-0.2416049764	1.298971020	1.284497498
-25	25	1.55083497905263	-0.1037115540	1.303711554	1.294663606
-20	25	1.50511137398085	0.02850081511	1.304070498	1.295433364
-15	25	1.46247064241419	0.1548778839	1.300610453	1.288013272
-10	25	1.42294104591626	0.2754539162	1.293826073	1.273464123
-5	25	1.38656608033400	0.3904008721	1.284154685	1.252723765
0	25	1.35360489258528	0.5000000000	1.272058147	1.226782655
5	25	1.32561769444664	0.6047815501	1.258477376	1.197658599
10	25	1.30094530925893	0.7052946433	1.242914442	1.164283778
15	25	1.27897256602514	0.8018191994	1.225251085	1.126404587
20	25	1.25954215885737	0.8945708680	1.205512265	1.084074550
25	25	1.24259765635357	0.9837204295	1.183720429	1.037341809
30	25	1.22811582158858	1.069382533	1.159872368	0.9861994763
35	25	1.21610304300942	1.151609065	1.133943196	0.9305941869
40	25	1.20659367486182	1.230383367	1.105891440	0.8704370012
45	25	1.19964493300511	1.305613078	1.075663548	0.8056130784

-45	30	1.71018630368597	-0.6195797413	1.346389665	1.119579741
-40	30	1.65292407255292	-0.4716860992	1.368577616	1.158010400
-35	30	1.59896054775375	-0.3290808595	1.383611688	1.184050177
-30	30	1.54838808205930	-0.1924602014	1.392460201	1.199376251
-25	30	1.50119911378829	-0.06212938518	1.395990182	1.205490357
-20	30	1.45733181584516	0.06188732249	1.394959226	1.203704689
-15	30	1.41669961997798	0.1797626665	1.390015555	1.195141999
-10	30	1.37916575794671	0.2918097070	1.381680825	1.180705824
-5	30	1.34441581733897	0.3984282314	1.370286705	1.160970628
0	30	1.31192282441688	0.5000000000	1.355961412	1.136158494
5	30	1.28857543188621	0.5973529796	1.342446309	1.112749649
10	30	1.26682154716156	0.6912315090	1.326152406	1.084527781
15	30	1.24700400900953	0.7818785528	1.307363870	1.051985081
20	30	1.22934463916644	0.8695736726	1.286238762	1.015395320
25	30	1.21391562168290	0.9545550526	1.262798996	0.9747964560
30	30	1.20076665406697	1.036999173	1.236999173	0.9301098508
35	30	1.18996379709017	1.117010976	1.208751239	0.8811829950
40	30	1.18160150276201	1.194614940	1.177936240	0.8278098499
45	30	1.17580259281176	1.269743483	1.144411607	0.7697434834

-45	35	1.65679057352896	-0.5498871025	1.435138863	1.049887103
-40	35	1.59995589521154	-0.4062869844	1.456273695	1.080070770
-35	35	1.54719785599124	-0.2697971722	1.469797172	1.099384297
-30	35	1.49837049732256	-0.1406059154	1.476923672	1.109561993
-25	35	1.45325858358482	-0.01856763124	1.478681109	1.112071874
-20	35	1.41163893708118	0.09666891870	1.475930109	1.108143038
-15	35	1.37333884752832	0.2055730924	1.469399371	1.098816178
-10	35	1.33824131935406	0.3086915744	1.459699969	1.084963996
-5	35	1.30639151242225	0.4066149795	1.447398493	1.067395669
0	35	1.27924489779772	0.5000000000	1.433744730	1.047896073
5	35	1.25657429166428	0.5898239271	1.418897607	1.026692185
10	35	1.23646284301080	0.6767586730	1.401921820	1.002448249
15	35	1.21839077047161	0.7612079513	1.382591259	0.9748413456
20	35	1.20227692588175	0.8435125228	1.360850903	0.9437928996
25	35	1.18815065771079	0.9239689200	1.336631693	0.9092042830
30	35	1.17608631464616	1.002818129	1.309815329	0.8709065466
35	35	1.16619372659040	1.080231306	1.280231306	0.8286561835
40	35	1.15862366356217	1.156296557	1.247662971	0.7821437802
45	35	1.15357011390500	1.231002701	1.211853602	0.7310027011

-45	40	1.60242088404766	-0.4744648328	1.517673082	0.9744648328
-40	40	1.54689966842961	-0.3364337152	1.536433715	0.9968228851
-35	40	1.49612606937838	-0.2071949880	1.547473101	1.009979113
-30	40	1.44967898975348	-0.08636868986	1.552206672	1.015620363
-25	40	1.40711868696143	0.02665305524	1.551766510	1.015095799
-20	40	1.36803646782347	0.1325817842	1.547048633	1.009473251
-15	40	1.33225898240221	0.2321240682	1.538870211	0.9997265878
-10	40	1.29961398789599	0.3260353702	1.527857745	0.9866024421
-5	40	1.26962544222490	0.4150999028	1.514272814	0.9704125519
0	40	1.24771511384296	0.5000000000	1.502015816	0.9558052296
5	40	1.22775429152350	0.5821001653	1.487418800	0.9384091839
10	40	1.20958083486257	0.6619129096	1.470506375	0.9182537405
15	40	1.19313484525780	0.7399023859	1.451269305	0.8953278930
20	40	1.17838542124512	0.8164829880	1.429622187	0.8695298631
25	40	1.16536120549247	0.8920210649	1.405424252	0.8406918868
30	40	1.15414859646877	0.9668320402	1.378476505	0.8085768122
35	40	1.14488738581232	1.041170051	1.348515712	0.7728709295
40	40	1.13777442394554	1.115213066	1.315213066	0.7331823822
45	40	1.13306971305147	1.189042810	1.278175568	0.6890428099

-45	45	1.54717803064055	-0.3932636525	1.593263652	0.8932636525
-40	45	1.49394895297732	-0.2623227185	1.608500838	0.9085008385
-35	45	1.44597164197914	-0.1415958459	1.616293828	0.9162938284
-30	45	1.40252126786630	-0.03010321189	1.618165696	0.9181656963
-25	45	1.36291503687044	0.07320913529	1.615255963	0.9152559630
-20	45	1.32637798950565	0.1694088156	1.608291814	0.9082918143
-15	45	1.29335283952293	0.2592335898	1.598552476	0.8985524757
-10	45	1.26458254949253	0.3435407504	1.587324497	0.8873244975
-5	45	1.24027404476395	0.4234183050	1.575332780	0.8753327796
0	45	1.22027070043927	0.5000000000	1.562861687	0.8628616872
5	45	1.20243840483036	0.5742455037	1.548629991	0.8486299908
10	45	1.18613518737250	0.6467534258	1.532280035	0.8322800354
15	45	1.17122931451476	0.7180322871	1.513707573	0.8137075731
20	45	1.15771004904600	0.7885517849	1.492789513	0.7927895134
25	45	1.14562319743287	0.8587468784	1.469335164	0.7693351635
30	45	1.13506666643253	0.9290148744	1.443075560	0.7430755597
35	45	1.12619775942276	0.9997081430	1.413657188	0.7136571884
40	45	1.11924330752335	1.071120318	1.380634691	0.6806346906
45	45	1.11451343885054	1.143464634	1.343464634	0.6434646339


### +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	1.78409655973585	1.530048629	-0.3300486290	1.030048629
45	-40	1.71630517790171	1.543720195	-0.1757852311	1.043720195
45	-35	1.65445502037247	1.548407092	-0.03410254906	1.048407092
45	-30	1.59803204109403	1.546157542	0.09600066174	1.046157542
45	-25	1.54647225934218	1.538522519	0.2157289963	1.038522519
45	-20	1.49921936659721	1.526652047	0.3263292138	1.026652047
45	-15	1.45575124181027	1.511378212	0.4290020248	1.011378212
45	-10	1.41559827675578	1.493288283	0.5248564760	0.9932882832
45	-5	1.37834549226213	1.472777747	0.6148929750	0.9727777471
45	0	1.34363708877888	1.450094897	0.7000000000	0.9500948969
45	5	1.31117160305715	1.425369267	0.7809593204	0.9253692671
45	10	1.28070458477104	1.398636908	0.8584539327	0.8986369079
45	15	1.25204415703382	1.369853409	0.9330765186	0.8698534094
45	20	1.22505163601233	1.338904431	1.005336242	0.8389044314
45	25	1.19964494845992	1.305613089	1.075663553	0.8056130887
45	30	1.17580262009469	1.269743501	1.144411618	0.7697435013
45	35	1.15357013360629	1.231002714	1.211853611	0.7310027136
45	40	1.13306972600516	1.189042818	1.278175574	0.6890428177
45	45	1.11451341572506	1.143464621	1.343464621	0.6434646206

50	-45	1.79875362069551	1.593858776	-0.3938587757	0.9178564952
50	-40	1.72767401419689	1.613313960	-0.2341813331	0.9341813331
50	-35	1.66207076461781	1.622002210	-0.08563440511	0.9414716403
50	-30	1.60168373800353	1.622112296	0.05214816407	0.9415640134
50	-25	1.54614646736779	1.615390477	0.1798848788	0.9359237379
50	-20	1.49504747695030	1.603194595	0.2984700047	0.9256901781
50	-15	1.44796719087466	1.586553979	0.4088587387	0.9117270434
50	-10	1.40450912584921	1.566233625	0.5119942442	0.8946762415
50	-5	1.36430721781520	1.542780654	0.6087685142	0.8749968620
50	0	1.32704083985659	1.516572261	0.7000000000	0.8530054094
50	5	1.29243363102606	1.487845530	0.7864252852	0.8289008200
50	10	1.26026168415721	1.456728126	0.8686969818	0.8027902177
50	15	1.23035014625773	1.423254239	0.9473852279	0.7747022918
50	20	1.20257656582696	1.387380494	1.022980086	0.7446006449
50	25	1.17687367266297	1.348996984	1.095893795	0.7123930559
50	30	1.15323259551382	1.307935078	1.166461535	0.6779380256
50	35	1.13170579285028	1.263972526	1.234939322	0.6410490647
50	40	1.11241459068280	1.216840493	1.301500594	0.6015005937
50	45	1.09555561388419	1.166229721	1.366229721	0.5590331130

55	-45	1.81136616751664	1.647839689	-0.4478396893	0.8037260031
55	-40	1.73770080431831	1.673057239	-0.2843118966	0.8213835215
55	-35	1.66899188605906	1.685926845	-0.1303949165	0.8303949165
55	-30	1.60520915788113	1.688677350	0.01371681177	0.8323208412
55	-25	1.54618137247647	1.683178848	0.1482746423	0.8284707482
55	-20	1.49165160957592	1.670953353	0.2738078337	0.8199103648
55	-15	1.44131996882456	1.653208258	0.3909987786	0.8074851153
55	-10	1.39487769636833	1.630881297	0.5005951153	0.7918516092
55	-5	1.35202265583404	1.604678891	0.6033531202	0.7735044866
55	0	1.31248054733813	1.575121123	0.7000000000	0.7528079151
55	5	1.27600698076226	1.542569790	0.7912130375	0.7300152259
55	10	1.24240016654751	1.507261867	0.8776074437	0.7052923520
55	15	1.21150020565050	1.469328166	0.9597306992	0.6787308887
55	20	1.18319391764101	1.428812651	1.038060158	0.6503616196
55	25	1.15741747979223	1.385686443	1.113002371	0.6201643239
55	30	1.13415884413285	1.339858733	1.184892666	0.5880754160
55	35	1.11345905072376	1.291184780	1.253993547	0.5539935473
55	40	1.09541713434958	1.239475401	1.320493536	0.5177862502
55	45	1.08019153166695	1.184503627	1.384503627	0.4792945998

60	-45	1.82201326687160	1.692787673	-0.4927876732	0.6886562842
60	-40	1.74634929335248	1.723462515	-0.3266069452	0.7063664124
60	-35	1.67511792061076	1.740445659	-0.1685694011	0.7161716351
60	-30	1.60848466055299	1.745926861	-0.01933620835	0.7193362084
60	-25	1.54645773619592	1.741833859	0.1209233616	0.7169731126
60	-20	1.48893281526419	1.729806000	0.2523872222	0.7100288250
60	-15	1.43573612548494	1.711201386	0.3754595668	0.6992874461
60	-10	1.38665461280360	1.687117043	0.4906792360	0.6853823446
60	-5	1.34146021082592	1.658418313	0.5986515300	0.6688131250
60	0	1.29993088798655	1.625773172	0.7000000000	0.6499654440
60	5	1.26185811297297	1.589677901	0.7953344632	0.6291258295
60	10	1.22706271660432	1.550490187	0.8852297630	0.6065007925
60	15	1.19539609145404	1.508448124	0.9702128605	0.5822277959
60	20	1.16674713139532	1.463691986	1.050755198	0.5563878278
60	25	1.14104647388631	1.416281197	1.127268939	0.5290151957
60	30	1.11826667963560	1.366205645	1.200104063	0.5001040625
60	35	1.09842391798637	1.313396576	1.269546414	0.4696147320
60	40	1.08158084251694	1.257737082	1.335816906	0.4374797083
60	45	1.06784665399123	1.199069732	1.399069732	0.4036080978

65	-45	1.83079712387546	1.729458873	-0.5294588726	0.5733060877
65	-40	1.75361571364297	1.765058847	-0.3615104119	0.5899066284
65	-35	1.68037804896500	1.785869691	-0.2003756508	0.5996108843
65	-30	1.61140816527408	1.793990242	-0.04708561434	0.6033975593
65	-25	1.54686982363119	1.791353426	0.09783200815	0.6021679919
65	-20	1.48679943636961	1.779672474	0.2342373100	0.5967210744
65	-15	1.43114556983851	1.760424951	0.3622701522	0.5877458073
65	-10	1.37979316054968	1.734848831	0.4822628341	0.5758194664
65	-5	1.33258890140498	1.703956890	0.5946674208	0.5614143177
65	0	1.28936573387475	1.668562205	0.7000000000	0.5449095052
65	5	1.24995277560044	1.629297456	0.7988007251	0.5266000519
65	10	1.21419229430411	1.586643982	0.8916046525	0.5067104107
65	15	1.18194357554371	1.540950135	0.9789217479	0.4854030196
65	20	1.15309198719345	1.492454019	1.061223722	0.4627889093
65	25	1.12755467496815	1.441301957	1.138936311	0.4389363112
65	30	1.10528120675793	1.387561033	1.212433601	0.4138765068
65	35	1.08625524625924	1.331231221	1.282034367	0.3876094842
65	40	1.07049758292478	1.272257244	1.348000769	0.3601094669
65	45	1.05806509200754	1.210536137	1.410536137	0.3313284418

70	-45	1.83781914084459	1.758522152	-0.5585221520	0.4580646025
70	-40	1.75951217428047	1.798342930	-0.3894390734	0.4725581803
70	-35	1.68472339175928	1.822515588	-0.2260353838	0.4813563082
70	-30	1.61389803062565	1.833022861	-0.06962110758	0.4851806430
70	-25	1.54732695483886	1.831767866	0.07898644540	0.4847238620
70	-20	1.48516949850077	1.820503544	0.2193760156	0.4806239844
70	-15	1.42748392885083	1.800795708	0.3514528407	0.4734509184
70	-10	1.37424658429926	1.773999453	0.4753595230	0.4636978795
70	-5	1.32537665894179	1.741258966	0.5914039120	0.4517813165
70	0	1.28076013317171	1.703520846	0.7000000000	0.4380457643
70	5	1.24025995618546	1.661544365	0.8016219642	0.4227675748
70	10	1.20373826780204	1.615929203	0.8967684270	0.4061650133
70	15	1.17105914588565	1.567128448	0.9859362060	0.3884029914
70	20	1.14210131378510	1.515472533	1.069601776	0.3696017758
70	25	1.11676367740445	1.461186629	1.148208686	0.3498433224
70	30	1.09496985570399	1.404406488	1.222159329	0.3291770413
70	35	1.07666903175763	1.345190127	1.291808498	0.3076240485
70	40	1.06184028301994	1.283531279	1.357460807	0.2851820631
70	45	1.05049163168126	1.219367298	1.419367298	0.2618282839

75	-45	1.84317367617669	1.780538627	-0.5805386274	0.3431192911
75	-40	1.76406196774479	1.823751369	-0.4107592854	0.3546981103
75	-35	1.68812425550586	1.850677763	-0.2457547517	0.3619130159
75	-30	1.61589332081620	1.863183801	-0.08703453474	0.3652639987
75	-25	1.54775746207921	1.863126271	0.06436378082	0.3652485835
75	-20	1.48397541468605	1.852273613	0.2078126564	0.3623406225
75	-15	1.42469687896871	1.832252753	0.3430239508	0.3569760492
75	-10	1.36997654020223	1.804510051	0.4699796813	0.3495424148
75	-5	1.31979721104041	1.770298346	0.5888632954	0.3403754159
75	0	1.27409134791650	1.730677738	0.7000000000	0.3297591060
75	5	1.23275199546061	1.686517753	0.8038068524	0.3179264736
75	10	1.19565643650079	1.638520109	0.9007518132	0.3050655437
75	15	1.16267148966146	1.587229372	0.9913222322	0.2913222322
75	20	1.13366741852431	1.533055211	1.076001347	0.2768063096
75	25	1.10852532351923	1.476289908	1.155251461	0.2615960925
75	30	1.08714320132310	1.417124901	1.229502308	0.2457428766
75	35	1.06943872048351	1.355663968	1.299142361	0.2292744692
75	40	1.05535437107115	1.291937482	1.364514449	0.2121990088
75	45	1.04485698510691	1.225910828	1.425910828	0.1945072202

80	-45	1.84693923895599	1.795948954	-0.5959489539	0.2285107662
80	-40	1.76729024643552	1.841639048	-0.4257688300	0.2365671625
80	-35	1.69056340678108	1.870605139	-0.2597080501	0.2416746659
80	-30	1.61734980268500	1.884615533	-0.09940815075	0.2441450764
80	-25	1.54810597346634	1.885480741	0.05393972005	0.2442976360
80	-20	1.48316334683781	1.874971068	0.1995514584	0.2424444969
80	-15	1.42274019030326	1.854752307	0.3369952133	0.2388793839
80	-10	1.36695118069079	1.826335678	0.4661312344	0.2338687656
80	-5	1.31582859935617	1.791055018	0.5870473219	0.2276478332
80	0	1.26934119204448	1.750057047	0.7000000000	0.2204187848
80	5	1.22740543582652	1.704296629	0.8053623026	0.2123499885
80	10	1.18990989905990	1.654554731	0.9035791498	0.2035791498
80	15	1.15672208638679	1.601446298	0.9951316460	0.1942147001
80	20	1.12770478298004	1.545442131	1.080509817	0.1843396544
80	25	1.10272381100852	1.486885026	1.160192045	0.1740144569
80	30	1.08165590334065	1.426007202	1.234630507	0.1632800540
80	35	1.06439368096681	1.362945124	1.304240681	0.1521605083
80	40	1.05085142644097	1.297754251	1.369395298	0.1406655984
80	45	1.04096486838487	1.230417820	1.430417820	0.1287923688

85	-45	1.84917510511458	1.805069304	-0.6050693043	0.1141787692
85	-40	1.76921858372742	1.852266474	-0.4346863000	0.1183079866
85	-35	1.69203096143994	1.882484885	-0.2680263378	0.1209517549
85	-30	1.61823654596517	1.897428589	-0.1068057723	0.1222591597
85	-25	1.54833201625686	1.898874774	0.04769398010	0.1223856844
85	-20	1.48269324614915	1.888591139	0.1945941577	0.1214859830
85	-15	1.42158075119002	1.868264504	0.3333746310	0.1197076328
85	-10	1.36514684212653	1.839444728	0.4638197552	0.1171862291
85	-5	1.31345513002003	1.803515570	0.5859571649	0.1140428351
85	0	1.26649742336288	1.761678018	0.7000000000	0.1103825236
85	5	1.22420502909290	1.714940869	0.8062935529	0.1062935529
85	10	1.18647358110761	1.664135413	0.9052684826	0.1018486515
85	15	1.15317029127262	1.609920752	0.9974023693	0.09710548325
85	20	1.12415268325320	1.552806074	1.083190073	0.09210859636
85	25	1.09927657131989	1.493165709	1.163120776	0.08689074057
85	30	1.07840479763855	1.431256743	1.237661331	0.08147440784
85	35	1.06141399993350	1.367235201	1.307244625	0.07587324872
85	40	1.04820065724993	1.301170992	1.372262284	0.07009337932
85	45	1.03868109750476	1.233057034	1.433057034	0.06413418016

90	-45	1.84991553836100	1.808087822	-0.6080878218	0.000000000
90	-40	1.76985896856493	1.855790628	-0.4376434159	0.000000000
90	-35	1.69251992850639	1.886431159	-0.2707895490	0.000000000
90	-30	1.61853356986857	1.901691188	-0.1092667849	0.000000000
90	-25	1.54840913265436	1.903335254	0.04561402389	0.000000000
90	-20	1.48253854549436	1.893130531	0.1929419542	0.000000000
90	-15	1.42119586829074	1.872769793	0.3321674425	0.000000000
90	-10	1.36454635985619	1.843815835	0.4630490113	0.000000000
90	-5	1.31266438276712	1.807669298	0.5855937607	0.000000000
90	0	1.26554966207419	1.765549662	0.7000000000	0.000000000
90	5	1.22313858779144	1.718484176	0.8066035521	0.000000000
90	10	1.18532919789891	1.667321384	0.9058302552	0.000000000
90	15	1.15198851553212	1.612735459	0.9981565676	0.000000000
90	20	1.12297222715030	1.555248715	1.084079122	0.000000000
90	25	1.09813256635123	1.495246096	1.164090876	0.000000000
90	30	1.07732754699623	1.432993024	1.238663773	0.000000000
90	35	1.06042830942318	1.368652017	1.308236691	0.000000000
90	40	1.04732523125044	1.302297674	1.373207682	0.000000000
90	45	1.03792816006516	1.233926040	1.433926040	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	1.11451349681325	1.143464667	1.343464667	0.6434646674
40	45	1.11924340744566	1.071120369	1.380634751	0.6806347513
35	45	1.12619784282927	0.9997081800	1.413657241	0.7136572413
30	45	1.13506674729662	0.9290149050	1.443075613	0.7430756126
25	45	1.14562335347829	0.8587469273	1.469335268	0.7693352683
20	45	1.15771037116099	0.7885518652	1.492789734	0.7927897340
15	45	1.17122987138317	0.7180323907	1.513707960	0.8137079600
10	45	1.18613569815274	0.6467534889	1.532280394	0.8322803938
5	45	1.20243934218011	0.5742455616	1.548630652	0.8486306523
0	45	1.22027191422620	0.5000000000	1.562862545	0.8628625454
-5	45	1.24028256309095	0.4234177790	1.575338791	0.8753387915
-10	45	1.26456638290927	0.3435427506	1.587313154	0.8873131538
-15	45	1.29337025604362	0.2592303476	1.598564576	0.8985645758
-20	45	1.32645682750610	0.1693891657	1.608345802	0.9083458019
-25	45	1.36285763928974	0.07322710909	1.615217418	0.9152174180
-30	45	1.40250899569339	-0.03009857345	1.618157662	0.9181576622
-35	45	1.44596738479274	-0.1415939569	1.616291131	0.9162911307
-40	45	1.49394812508420	-0.2623222960	1.608500335	0.9085003350
-45	45	1.54717789322204	-0.3932635731	1.593263573	0.8932635731

45	50	1.09555570640082	1.166229777	1.366229777	0.5590331602
40	50	1.09821526316788	1.093822787	1.407690440	0.5938227872
35	50	1.10348857067852	1.021601490	1.444924128	0.6250655609
30	50	1.11108421207303	0.9494132828	1.478406639	0.6531607240
25	50	1.12077971924584	0.8770240995	1.508530791	0.6784378882
20	50	1.13241139542029	0.8041355872	1.535605658	0.7011563997
15	50	1.14586202436121	0.7303972888	1.559854388	0.7215034996
10	50	1.16104029769636	0.6554153367	1.581404174	0.7395859170
5	50	1.17782857764323	0.5787616233	1.600249473	0.7553990010
0	50	1.19594913679524	0.5000000000	1.616150190	0.7687412869
-5	50	1.21489576273106	0.4187596870	1.628581027	0.7791719975
-10	50	1.23953973165026	0.3340768316	1.640997048	0.7895902760
-15	50	1.27115024809966	0.2444111380	1.653870619	0.8003924845
-20	50	1.30994526059642	0.1481835377	1.666607786	0.8110802368
-25	50	1.35016545088063	0.04581180890	1.674009719	0.8172911960
-30	50	1.39317282264320	-0.06351297669	1.676033106	0.8189890196
-35	50	1.43997634430960	-0.1806539064	1.672074520	0.8156673710
-40	50	1.49131302217345	-0.3063771149	1.661002824	0.8063771149
-45	50	1.54778841374667	-0.4412417130	1.641241713	0.7897955742

45	55	1.08019159347420	1.184503667	1.384503667	0.4792946272
40	55	1.08093747098678	1.112291604	1.429700718	0.5109419437
35	55	1.08460273595083	1.039636295	1.470680500	0.5396362953
30	55	1.09093607301627	0.9664134158	1.507851733	0.5656638735
25	55	1.09974234976344	0.8924221001	1.541551909	0.5892609907
20	55	1.11087714244291	0.8173979318	1.572043651	0.6106115378
15	55	1.12423990529289	0.7410231672	1.599510706	0.6298441770
10	55	1.13976501199861	0.6629352246	1.624051577	0.6470278801
5	55	1.15740438568577	0.5827349468	1.645664769	0.6621616001
0	55	1.17712604466866	0.5000000000	1.664245206	0.6751717618
-5	55	1.19904887869274	0.4142881724	1.679690673	0.6859867942
-10	55	1.22423894876027	0.3249887950	1.692537865	0.6949824950
-15	55	1.25937198424369	0.2300061820	1.707630647	0.7055505744
-20	55	1.29836767441966	0.1290325916	1.719224578	0.7136687325
-25	55	1.34032123332258	0.02173190999	1.725649229	0.7181673216
-30	55	1.38576362444627	-0.09246252966	1.726175203	0.7185356126
-35	55	1.43528608138991	-0.2141162732	1.719863732	0.7141162732
-40	55	1.48940907180522	-0.3436682913	1.705444717	0.7040199702
-45	55	1.54855111788641	-0.4812971369	1.681297137	0.6871116525

45	60	1.06784669029913	1.199069756	1.399069756	0.4036081116
40	60	1.06689025118468	1.127180912	1.447445104	0.4315376323
35	60	1.06908449363458	1.054333559	1.491670367	0.4570710995
30	60	1.07422911055348	0.9804098629	1.532094291	0.4804098629
25	60	1.08216937349565	0.9052221980	1.569001808	0.5017184278
20	60	1.09279762202853	0.8285240101	1.602612299	0.5211234541
15	60	1.10605084933824	0.7500168488	1.633075582	0.5387114387
10	60	1.12191582943252	0.6693574423	1.660473784	0.5545297975
5	60	1.14043889642376	0.5861611372	1.684826305	0.5685897323
0	60	1.16177429352833	0.5000000000	1.706126052	0.5808871468
-5	60	1.18633318644453	0.4103715098	1.724458331	0.5914712933
-10	60	1.21510439581080	0.3165753908	1.740252652	0.6005901484
-15	60	1.24984652014038	0.2174789128	1.754383052	0.6087483386
-20	60	1.28914105828499	0.1124499345	1.764785054	0.6147539375
-25	60	1.33245644613148	0.001056911134	1.769986907	0.6177572288
-30	60	1.37985602541209	-0.1170903744	1.768831881	0.6170903744
-35	60	1.43161661464910	-0.2423109563	1.760129913	0.6120662904
-40	60	1.48803672523763	-0.3747556074	1.742493138	0.6018836937
-45	60	1.54934575378630	-0.5142848849	1.714284885	0.5855976513

45	65	1.05806511412148	1.210536151	1.410536151	0.3313284488
40	65	1.05564885595715	1.139012438	1.461545368	0.3551144373
35	65	1.05655251027882	1.066119127	1.508501903	0.3770106289
30	65	1.06062847674586	0.9917315763	1.551704074	0.3971561321
25	65	1.06776766191827	0.9156623259	1.591390734	0.4156623259
20	65	1.07790456906511	0.8376701117	1.627741007	0.4326127363
15	65	1.09101858988013	0.7574647542	1.660871544	0.4480617594
10	65	1.10714421710345	0.6747120155	1.690841077	0.4620367824
5	65	1.12638662826449	0.5890336162	1.717658889	0.4745421335
0	65	1.14895932957227	0.5000000000	1.741310787	0.4855711947
-5	65	1.17525278242393	0.4071038287	1.761808096	0.4951292467
-10	65	1.20586307896968	0.3097097327	1.779189733	0.5032344373
-15	65	1.24134077903381	0.2070613631	1.793261876	0.5097963853
-20	65	1.28148826050610	0.09855417963	1.802963327	0.5143202459
-25	65	1.32609622381388	-0.01622488712	1.807047843	0.5162248871
-30	65	1.37514980407286	-0.1375508442	1.804270455	0.5149297697
-35	65	1.42875860914002	-0.2655535987	1.793323846	0.5098252822
-40	65	1.48704978773859	-0.4001509398	1.772758116	0.5002353250
-45	65	1.55009254716607	-0.5409536975	1.740953697	0.4854046809

45	70	1.05049164289574	1.219367305	1.419367305	0.2618282867
40	70	1.04687443408493	1.148194386	1.472487988	0.2811626340
35	70	1.04669677862678	1.075333766	1.521661771	0.2990604272
30	70	1.04985894303748	1.000647245	1.567146465	0.3156155019
25	70	1.05629603795551	0.9239402378	1.609142774	0.3309009084
20	70	1.06598324239846	0.8449687822	1.647793939	0.3449687822
15	70	1.07893823965279	0.7634431470	1.683183210	0.3578494231
10	70	1.09523060014905	0.6790312796	1.715336841	0.3695523879
5	70	1.11499196208008	0.5913580033	1.744226756	0.3800674571
0	70	1.13843498601022	0.5000000000	1.769778956	0.3893676971
-5	70	1.16586869566661	0.4044733596	1.791874496	0.3974098160
-10	70	1.19765963732026	0.3042252131	1.810293990	0.4041139636
-15	70	1.23409530761473	0.1986723247	1.824570194	0.4093100770
-20	70	1.27522989527705	0.08731574148	1.833840682	0.4126842585
-25	70	1.32102352894489	-0.03018756951	1.836990912	0.4138308486
-30	70	1.37146307158874	-0.1540109153	1.832780134	0.4122982507
-35	70	1.42656935621941	-0.2841368546	1.819863486	0.4075969753
-40	70	1.48634795805240	-0.4203036875	1.796775226	0.3991935359
-45	70	1.55074383010991	-0.5619355403	1.761935540	0.3865129274

45	75	1.04485698981863	1.225910831	1.425910831	0.1945072210
40	75	1.04030432116909	1.155038035	1.480643931	0.2091729109
35	75	1.03927225147802	1.082241898	1.531527606	0.2228071504
30	75	1.04170111048358	1.007369353	1.578789498	0.2354709362
25	75	1.04756340334972	0.9302154939	1.622600104	0.2472099528
20	75	1.05686909719403	0.8505297920	1.663072688	0.2580545491
15	75	1.06966694576730	0.7680187526	1.700259602	0.2680187526
10	75	1.08604984492513	0.6823487659	1.734151241	0.2770999898
5	75	1.10616099673978	0.5931469523	1.764674537	0.2852786823
0	75	1.13019740203985	0.5000000000	1.791686859	0.2925166124
-5	75	1.15840647567742	0.4024535912	1.814960554	0.2987527801
-10	75	1.19104678771268	0.3000221510	1.834130739	0.3038894157
-15	75	1.22832733467495	0.1922268550	1.848625014	0.3077731450
-20	75	1.27035078205932	0.07866513780	1.857608020	0.3101801341
-25	75	1.31714031289609	-0.04092589383	1.860019323	0.3108262408
-30	75	1.36868462528620	-0.1666294448	1.854636068	0.3093838020
-35	75	1.42495123244148	-0.2983146943	1.840111539	0.3054919663
-40	75	1.48586200798184	-0.4355878945	1.814990234	0.2987607329
-45	75	1.55127100972033	-0.5777402451	1.777740245	0.2887796283

45	80	1.04096487226947	1.230417823	1.430417823	0.1287923693
40	80	1.03574457022604	1.159772188	1.486285876	0.1386434144
35	80	1.03409622122501	1.087041257	1.538381802	0.1478293318
30	80	1.03598978941080	1.012059098	1.586912375	0.1563865812
25	80	1.04142610836383	0.9346111020	1.632026516	0.1643414215
20	80	1.05044133608401	0.8544396076	1.673814818	0.1717098267
15	80	1.06310679934512	0.7712461906	1.712304565	0.1784966075
10	80	1.07953087763753	0.6846946382	1.747455344	0.1846946382
5	80	1.09986177854159	0.5944137659	1.779154283	0.1902840164
0	80	1.12428323647940	0.5000000000	1.807202848	0.1952297352
-5	80	1.15300643360653	0.4010242181	1.831298364	0.1994784248
-10	80	1.18623891980434	0.2970489102	1.850992826	0.2029510898
-15	80	1.22415435281961	0.1876633607	1.865656207	0.2055366395
-20	80	1.26685977720753	0.07253654547	1.874446189	0.2070865505
-25	80	1.31439501412127	-0.04852731359	1.876320620	0.2074170633
-30	80	1.36674310566966	-0.1755406758	1.870070773	0.2063150466
-35	80	1.42383687162537	-0.3082913083	1.854359621	0.2035447466
-40	80	1.48554367481631	-0.4462954759	1.827751033	0.1988529346
-45	80	1.55165618641401	-0.5887565596	1.788756560	0.1919771569

45	85	1.03868109846788	1.233057034	1.433057034	0.06413418022
40	85	1.03306080449591	1.162552357	1.489599151	0.06908097446
35	85	1.03104070014312	1.089867784	1.542418499	0.07370206865
30	85	1.03260884324033	1.014828798	1.591709635	0.07801448419
25	85	1.03778361631927	0.9372140427	1.637608540	0.08203011810
20	85	1.04661737350202	0.8567606021	1.680191698	0.08575566170
15	85	1.05919513380435	0.7731661964	1.719470124	0.08919207865
10	85	1.07563426837122	0.6860924825	1.755382913	0.09233404053
5	85	1.09608533322908	0.5951693561	1.787790717	0.09516935607
0	85	1.12072440776784	0.5000000000	1.816459713	0.09767756817
-5	85	1.14974443202198	0.4001716072	1.841043752	0.09982839285
-10	85	1.18332922588058	0.2952755135	1.861050258	0.1015787354
-15	85	1.22163505731375	0.1849405824	1.875817754	0.1028707239
-20	85	1.26476479133606	0.06887945879	1.884493952	0.1036297928
-25	85	1.31275961295984	-0.05306031860	1.886041681	0.1037652015
-30	85	1.36559563261503	-0.1808463458	1.879260463	0.1031719219
-35	85	1.42318525850643	-0.3142172603	1.862822757	0.1017338090
-40	85	1.48536481952905	-0.4526370154	1.835308586	0.09932663084
-45	85	1.55189124313231	-0.5952589722	1.795258972	0.09582274369

45	90	1.03792816059688	1.233926041	1.433926041	0.000000000
40	90	1.03217460875507	1.163469050	1.490691623	0.000000000
35	90	1.03003021340808	1.090801059	1.543751355	0.000000000
30	90	1.03148911741125	1.015744559	1.593295779	0.000000000
25	90	1.03657563704912	0.9380757939	1.639456572	0.000000000
20	90	1.04534760230752	0.8575299368	1.682305428	0.000000000
15	90	1.05789462498951	0.7738032767	1.721847740	0.000000000
10	90	1.07433704623969	0.6865566703	1.758015452	0.000000000
5	90	1.09482615879362	0.5954203870	1.790660015	0.000000000
0	90	1.11953562616611	0.5000000000	1.819535626	0.000000000
-5	90	1.14865289097414	0.3998883041	1.844281920	0.000000000
-10	90	1.18235482299368	0.2946862396	1.864392196	0.000000000
-15	90	1.22079215895627	0.1840357392	1.879194675	0.000000000
-20	90	1.26406555029201	0.06766411932	1.887833070	0.000000000
-25	90	1.31221543765498	-0.05456620729	1.889271069	0.000000000
-30	90	1.36521500878225	-0.1826075044	1.882310879	0.000000000
-35	90	1.42296985503619	-0.3161819785	1.865628666	0.000000000
-40	90	1.48530616449330	-0.4547363991	1.837810534	0.000000000
-45	90	1.55196932519003	-0.5974080340	1.797408034	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	1.55196931529996	-0.5974080270	1.797408027	1.343937228e-16
-90	40	1.62260834869135	-0.7429901089	1.742992542	1.522223858e-16
-90	35	1.69676000246279	-0.8899044247	1.673221556	1.702142005e-16
-90	30	1.77384480088788	-1.036194660	1.586922400	1.881295873e-16
-90	25	1.85316855985026	-1.179541096	1.483182875	2.056844628e-16
-90	20	1.93391906733710	-1.317289477	1.361439277	2.225537741e-16
-90	15	2.01517654273259	-1.446511067	1.221566069	2.383788548e-16
-90	10	2.09590699551715	-1.564065459	1.063950430	2.527751157e-16
-90	5	2.17497066115156	-1.666694241	0.8895611834	2.653435167e-16
-90	-2.84217e-14	2.25108845816183	-1.751088458	0.7000000000	2.756788275e-16
-90	-5	2.32280598205419	-1.813967004	0.4975541194	2.833792285e-16
-90	-10	2.38885683363667	-1.852564731	0.2851793641	2.881060867e-16
-90	-15	2.45115724399819	-1.867636086	0.06559382271	2.899517955e-16
-90	-20	2.52376707609047	-1.871565298	-0.1631791771	2.904329851e-16
-90	-25	2.58850436845335	-1.845981666	-0.3939492167	2.872998938e-16
-90	-30	2.64294933270304	-1.788861263	-0.6214746664	2.803046619e-16
-90	-35	2.68746871022861	-1.701445488	-0.8414687256	2.695993170e-16
-90	-40	2.72228626573928	-1.585392266	-1.049851882	2.553868964e-16
-90	-45	2.74739865084200	-1.442704217	-1.242704217	2.379126501e-16

-85	45	1.55189122859663	-0.5952589619	1.795258962	0.09582274279
-85	40	1.62234674522741	-0.7400079525	1.740490216	0.1084866385
-85	35	1.69624587888778	-0.8859287105	1.670437731	0.1212530506
-85	30	1.77301103089773	-1.031084136	1.583971838	0.1339525048
-85	25	1.85195540492834	-1.173190034	1.480221326	0.1463851599
-85	20	1.93228269239789	-1.309646488	1.358657456	0.1583235527
-85	15	2.01309746793952	-1.437596444	1.219177403	0.1695177234
-85	10	2.09340128514313	-1.553988061	1.062173513	0.1797006704
-85	5	2.17210660294045	-1.655669206	0.8885966178	0.1885966178
-85	-2.84217e-14	2.24800496494912	-1.739450627	0.7000000000	0.1959265424
-85	-5	2.31965894106545	-1.802104943	0.4985919152	0.2014080848
-85	-10	2.38499619434393	-1.840093008	0.2873784654	0.2047316098
-85	-15	2.44135843766910	-1.849795528	0.07037418578	0.2055804703
-85	-20	2.51936330088886	-1.859466846	-0.1587757006	0.2064266010
-85	-25	2.58435314532983	-1.834890956	-0.3887775338	0.2042764892
-85	-30	2.63871333636187	-1.778661587	-0.6155858805	0.1993570568
-85	-35	2.68339568725325	-1.692485872	-0.8351951349	0.1918176587
-85	-40	2.71856573606345	-1.577880787	-1.043549002	0.1817910130
-85	-45	2.74414848679194	-1.436703532	-1.236703532	0.1694396036

-80	45	1.55165615551834	-0.5887565379	1.788756538	0.1919771531
-80	40	1.62155972444574	-0.7310076677	1.732938080	0.2170598653
-80	35	1.69470237215533	-0.8739607582	1.662057680	0.2422663521
-80	30	1.77051273182991	-1.015738541	1.575112055	0.2672656005
-80	25	1.84832663521048	-1.154163863	1.471349277	0.2916737195
-80	20	1.92739436302758	-1.286796775	1.350340841	0.3150604805
-80	15	2.00688829637354	-1.410985975	1.212047149	0.3369583872
-80	10	2.08591046553418	-1.523932903	1.056873978	0.3568739780
-80	5	2.16351158559272	-1.622778370	0.8857190425	0.3743031007
-80	-2.84217e-14	2.23869303573766	-1.704682258	0.7000000000	0.3887449660
-80	-5	2.31045246168088	-1.766952737	0.5016673348	0.3997249315
-80	-10	2.37801605403359	-1.807359312	0.2931502991	0.4068497009
-80	-15	2.44210402477764	-1.825404234	0.07690981350	0.4100315075
-80	-20	2.50995303945972	-1.826859558	-0.1469076185	0.4102881205
-80	-25	2.57211972144561	-1.801924028	-0.3734048029	0.4058913137
-80	-30	2.62598567913859	-1.748110183	-0.5979470194	0.3964024809
-80	-35	2.67114211805997	-1.665598225	-0.8163682022	0.3818533965
-80	-40	2.70735521221117	-1.555289716	-1.024592843	0.3624030301
-80	-45	2.73433509517214	-1.418611415	-1.218611415	0.3383029579

-75	45	1.55127094522258	-0.5777402003	1.777740200	0.2887796163
-75	40	1.62025077744639	-0.7158355113	1.720207129	0.3257821434
-75	35	1.69213564636871	-0.8538873000	1.648002093	0.3627730087
-75	30	1.76636667472668	-0.9901246310	1.560323857	0.3992776915
-75	25	1.84231901972986	-1.122549732	1.456607366	0.4347608904
-75	20	1.91931840027895	-1.248980206	1.336576735	0.4686378339
-75	15	1.99663934901655	-1.367083664	1.200283560	0.5002835600
-75	10	2.07352960895406	-1.474442727	1.048147525	0.5290503343
-75	5	2.14921881401026	-1.568612573	0.8809801493	0.5542830683
-75	-2.84217e-14	2.22295388940370	-1.647208572	0.7000000000	0.5753428030
-75	-5	2.29407716319982	-1.708038024	0.5068217043	0.5916420053
-75	-10	2.36222666782303	-1.749343942	0.3033799741	0.6027098928
-75	-15	2.42775058643324	-1.770221441	0.09169599816	0.6083040018
-75	-20	2.49164790590917	-1.770515860	-0.1264001895	0.6083828911
-75	-25	2.55133385021114	-1.746986548	-0.3477870352	0.6020782310
-75	-30	2.60467650382052	-1.697331205	-0.5686297628	0.5887731219
-75	-35	2.65061564797833	-1.620772570	-0.7849809401	0.5682592974
-75	-40	2.68850877685236	-1.517455871	-0.9928464772	0.5405756714
-75	-45	2.71777101379078	-1.388162146	-1.188162146	0.5059315222

-70	45	1.55074371593838	-0.5619354621	1.761935462	0.3865128989
-70	40	1.61842268740996	-0.6942330858	1.702080542	0.4346652960
-70	35	1.68855556045375	-0.8255238575	1.628141797	0.4824512289
-70	30	1.76060446799690	-0.9541972047	1.539581148	0.5292844973
-70	25	1.83400244291063	-1.078506411	1.436069628	0.5745293484
-70	20	1.90817135611035	-1.196605702	1.317513975	0.6175139746
-70	15	1.98251628957268	-1.306569326	1.184068792	0.6575374609
-70	10	2.05644878348346	-1.406437066	1.036156292	0.6938863455
-70	5	2.12938379848124	-1.494238176	0.8744732328	0.7258433362
-70	-2.84217e-14	2.20077779080876	-1.568054650	0.7000000000	0.7527103354
-70	-5	2.27015897112978	-1.626078770	0.5139922099	0.7738293879
-70	-10	2.33719926738458	-1.666707651	0.3179509818	0.7886170914
-70	-15	2.40175765056250	-1.688603303	0.1135655123	0.7965864571
-70	-20	2.46360212616374	-1.690453913	-0.09726002385	0.7972600238
-70	-25	2.52166949498655	-1.670374135	-0.3120620802	0.7899515823
-70	-30	2.57468827338173	-1.626601720	-0.5277940756	0.7740197263
-70	-35	2.62166317506939	-1.558017614	-0.7410394468	0.7490571529
-70	-40	2.66177781541262	-1.464124180	-0.9480958752	0.7148827380
-70	-45	2.69414605670184	-1.344927185	-1.144927185	0.6714985796

-65	45	1.55009230323196	-0.5409535337	1.740953534	0.4854046045
-65	40	1.61608570597708	-0.6658446625	1.678259826	0.5436422943
-65	35	1.68398098221973	-0.7886267508	1.602306165	0.6008965224
-65	30	1.75327409321614	-0.9079111776	1.512857897	0.6565197641
-65	25	1.82347557398963	-1.022268644	1.409845527	0.7098455266
-65	20	1.89412179133281	-1.130250496	1.293362655	0.7601982909
-65	15	1.96476481535423	-1.230389032	1.163656344	0.8068936570
-65	10	2.03497805969659	-1.321207953	1.021128100	0.8492432156
-65	5	2.10435954394183	-1.401230131	0.8663360832	0.8865581698
-65	-2.84217e-14	2.17253305995525	-1.468983630	0.7000000000	0.9181521454
-65	-5	2.23915803000367	-1.523016801	0.5230089638	0.9433482271
-65	-10	2.30392474146425	-1.561902359	0.3364309825	0.9614808605
-65	-15	2.36652473727688	-1.584223219	0.1415340716	0.9718892484
-65	-20	2.42653743177593	-1.588494979	-0.06015000681	0.9738812028
-65	-25	2.48329602925265	-1.573098063	-0.2667015028	0.9667015028
-65	-30	2.53602603265829	-1.536475307	-0.4757595670	0.9496240315
-65	-35	2.58407125299495	-1.477399613	-0.6845901151	0.9220765828
-65	-40	2.62678160322784	-1.394960954	-0.8900610379	0.8836348049
-65	-45	2.66302270063816	-1.288334078	-1.088334078	0.8339138761

-60	45	1.54934540527816	-0.5142846568	1.714284657	0.5855975196
-60	40	1.61326261888205	-0.6302242620	1.648370761	0.6525352819
-60	35	1.67844563877963	-0.7429098756	1.570294864	0.7175943512
-60	30	1.74444681326378	-0.8512426912	1.480140332	0.7801403315
-60	25	1.81087645512229	-0.9541669282	1.378089175	0.8395636674
-60	20	1.87739434405684	-1.050661524	1.264394638	0.8952748482
-60	15	1.94370527377069	-1.139729251	1.139364129	0.9466981243
-60	10	2.00954735499330	-1.220376432	1.003348782	0.9932597959
-60	5	2.07468071639386	-1.291591071	0.8567439084	1.034375587
-60	-2.84217e-14	2.13888495686505	-1.352328708	0.7000000000	1.069442478
-60	-5	2.20194370613736	-1.401489059	0.5336412635	1.097825220
-60	-10	2.26361932423785	-1.437887816	0.3582980924	1.118840052
-60	-15	2.32361964955458	-1.460228826	0.1747582691	1.131738640
-60	-20	2.38154641522398	-1.467073356	-0.01595615031	1.135690332
-60	-25	2.43685855637277	-1.456842009	-0.2124904148	1.129783261
-60	-30	2.48896947830345	-1.427947468	-0.4131009895	1.113100989
-60	-35	2.53759456828877	-1.379120346	-0.6157742313	1.084910637
-60	-40	2.58285843106368	-1.309506543	-0.8183562726	1.044719090
-60	-45	2.62382595462482	-1.217697292	-1.017697292	0.9917129942

-55	45	1.54855063913022	-0.4812968335	1.681296834	0.6871114400
-55	40	1.60999324512236	-0.5868466115	1.611972591	0.7610181903
-55	35	1.67200574354735	-0.6880683857	1.531894440	0.8318944396
-55	30	1.73422489315507	-0.7842151073	1.441441938	0.8992170988
-55	25	1.79637996173524	-0.8746374203	1.341003956	0.9625314840
-55	20	1.85826628819544	-0.9587475570	1.230940690	1.021426036
-55	15	1.91973462025639	-1.035990526	1.111567421	1.075512145
-55	10	1.98067896969684	-1.105813046	0.9831481660	1.124402400
-55	5	2.04101336241439	-1.167623222	0.8458981269	1.167682351
-55	-2.84217e-14	2.10065905179797	-1.220759157	0.7000000000	1.204888533
-55	-5	2.15952932387736	-1.264457458	0.5456299752	1.235486413
-55	-10	2.21749987344823	-1.297812912	0.3829970773	1.258842154
-55	-15	2.27437808760776	-1.319742770	0.2124013944	1.274197605
-55	-20	2.32985523704472	-1.328947044	0.03431771586	1.280642507
-55	-25	2.38344346586606	-1.323873928	-0.1504863802	1.277090273
-55	-30	2.43445153144789	-1.302741644	-0.3408133734	1.262293288
-55	-35	2.48232846734281	-1.263855170	-0.5350646864	1.235064686
-55	-40	2.52863164418967	-1.206985258	-0.7323307001	1.195243945
-55	-45	2.57578368420139	-1.132241342	-0.9322413418	1.142907692

-50	45	1.54778777155654	-0.4412413225	1.641241322	0.7897952465
-50	40	1.60634421527366	-0.5351289795	1.568576345	0.8685763449
-50	35	1.66474507241547	-0.6238075355	1.486898508	0.9429864886
-50	30	1.72274630814764	-0.7069266664	1.396819436	1.012731721
-50	25	1.78020499162773	-0.7842403593	1.298851114	1.077605612
-50	20	1.83705972757166	-0.8555652206	1.193385391	1.137454277
-50	15	1.89330234734328	-0.9207332961	1.080684339	1.192136785
-50	10	1.94896250165039	-0.9795556077	0.9608855731	1.241494565
-50	5	2.00408999110927	-1.031785689	0.8340138827	1.285320806
-50	-2.84217e-14	2.05873812454160	-1.077084900	0.7000000000	1.323331358
-50	-5	2.11294789788049	-1.114989030	0.5587067681	1.355136700
-50	-10	2.16672577841977	-1.144870680	0.4099649193	1.380210381
-50	-15	2.22001697791567	-1.165899819	0.2536234887	1.397855924
-50	-20	2.27266275300585	-1.176996420	0.08962322022	1.407167077
-50	-25	2.32431902243625	-1.176764367	-0.08188806539	1.406972362
-50	-30	2.37426398602369	-1.163368834	-0.2603464441	1.395732175
-50	-35	2.42093274108668	-1.134281730	-0.4443363871	1.371325197
-50	-40	2.46234203279563	-1.086734382	-0.6314282346	1.331428235
-50	-45	2.51773265778451	-1.031084597	-0.8310845970	1.284732521

-45	45	1.54717754544957	-0.3932633723	1.593263372	0.8932633723
-45	40	1.60242049367218	-0.4744645954	1.517672883	0.9744645954
-45	35	1.65679014287101	-0.5498868296	1.435138672	1.049886830
-45	30	1.71018600005354	-0.6195795425	1.346389550	1.119579543
-45	25	1.76261182171666	-0.6836695147	1.251954159	1.183669515
-45	20	1.81413894488162	-0.7423061651	1.152162466	1.242306165
-45	15	1.86488773411241	-0.7956243951	1.047161510	1.295624395
-45	10	1.91500597333143	-0.8437096010	0.9369322569	1.343709601
-45	5	1.96465480155203	-0.8865699727	0.8213091538	1.386569973
-45	-2.84217e-14	2.01399673814744	-0.9241107508	0.7000000000	1.424110751
-45	-5	2.06318671124947	-0.9561096126	0.5726069160	1.456109613
-45	-10	2.11235525576963	-0.9821844304	0.4386508945	1.482184430
-45	-15	2.16159421082797	-1.001760208	0.2976045650	1.501760208
-45	-20	2.21093003523800	-1.014025164	0.1489399064	1.514025164
-45	-25	2.26029123986496	-1.017882611	-0.007800285900	1.517882611
-45	-30	2.30945285661693	-1.011891790	-0.1728911319	1.511891790
-45	-35	2.35791530144211	-0.9941809202	-0.3462367438	1.494180920
-45	-40	2.40470155445084	-0.9623480770	-0.5270557320	1.462348077
-45	-45	2.45495601754203	-0.9173695176	-0.7173695176	1.417369518


### -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	2.74739853045124	-1.442704132	-1.242704132	2.379126396e-16
-40	-90	2.76272433702283	-1.275844973	-1.416369626	2.591805289e-16
-35	-90	2.76819998152314	-1.087774281	-1.567576674	2.776980515e-16
-30	-90	2.76384146252288	-0.8819207313	-1.693556919	2.931261819e-16
-25	-90	2.74977080149516	-0.6621033563	-1.792138690	3.051989670e-16
-20	-90	2.72622147232096	-0.4324226587	-1.861810200	3.137312662e-16
-15	-90	2.69355599325653	-0.1971435901	-1.901775298	3.186255791e-16
-10	-90	2.65223732871474	0.03944382113	-1.911943884	3.198708717e-16
-5	-90	2.60284850812413	0.2731468050	-1.892943884	3.175440428e-16
-2.84217e-14	-90	2.54606283045031	0.5000000000	-1.846062830	3.118027696e-16
5	-90	2.48265263217799	0.7163774341	-1.773205389	3.028803064e-16
10	-90	2.41348243615413	0.9190968269	-1.676816215	2.910760370e-16
15	-90	2.33947678974609	1.105501149	-1.559761051	2.767409138e-16
20	-90	2.26161691518286	1.273518541	-1.425224726	2.602649658e-16
25	-90	2.18091447524216	1.421694285	-1.276579772	2.420612091e-16
30	-90	2.09839197610461	1.549195988	-1.117260758	2.225502571e-16
35	-90	2.01507061507679	1.655797022	-0.9506492137	2.021462276e-16
40	-90	1.93193662107634	1.741824923	-0.7799493130	1.812415189e-16
45	-90	1.84991553447700	1.808087819	-0.6080878191	1.601945561e-16

-45	-85	2.74414829057246	-1.436703393	-1.236703393	0.1694395915
-40	-85	2.75886908433480	-1.269397508	-1.408685837	0.1844861057
-35	-85	2.76379088792958	-1.081189962	-1.558173293	0.1975645634
-30	-85	2.75895590082740	-0.8755353330	-1.682497084	0.2084414858
-25	-85	2.74450781383044	-0.6562500483	-1.779586230	0.2169356854
-20	-85	2.72069931284913	-0.4274051335	-1.848024663	0.2229232724
-15	-85	2.68790567989554	-0.1932102948	-1.887096040	0.2263415750
-10	-85	2.64660189744177	0.04211879289	-1.896773365	0.2271882312
-5	-85	2.59736443163871	0.2744796934	-1.877708900	0.2255203066
-2.84217e-14	-85	2.54086056109646	0.5000000000	-1.831191820	0.2214505894
5	-85	2.47784500442040	0.7151428419	-1.759093935	0.2151428419
10	-85	2.40915767497430	0.9168016449	-1.663799591	0.2068056671
15	-85	2.33569778791115	1.102375955	-1.548097671	0.1966830607
20	-85	2.25841580911654	1.269826495	-1.415080911	0.1850456022
25	-85	2.17829404301012	1.417706475	-1.268027887	0.1721801297
30	-85	2.09632814978973	1.545168369	-1.110284718	0.1583793906
35	-85	2.01351641252717	1.651951095	-0.9451566603	0.1439325575
40	-85	1.93082701926579	1.738333684	-0.7757886166	0.1291147737
45	-85	1.84917509932078	1.805069300	-0.6050693002	0.1141787689

-45	-80	2.73433458089840	-1.418611054	-1.218611054	0.3383028943
-40	-80	2.74726115322447	-1.250013039	-1.385584326	0.3677447872
-35	-80	2.75055133931317	-1.061447652	-1.529978352	0.3932053499
-30	-80	2.74432124697763	-0.8564367890	-1.649417436	0.4142656829
-25	-80	2.72877644491268	-0.6387812618	-1.742124297	0.4306124038
-20	-80	2.70422576415329	-0.4124590643	-1.806960675	0.4420448067
-15	-80	2.67107960271185	-0.1815121186	-1.843437853	0.4484767172
-10	-80	2.62983384142668	0.05006733028	-1.851694970	0.4499326697
-5	-80	2.58105965046189	0.2784380124	-1.832465106	0.4465419259
-2.84217e-14	-80	2.52539645887665	0.5000000000	-1.787030012	0.4385304930
5	-80	2.46354914449608	0.7114747115	-1.717167013	0.4262117613
10	-80	2.39628907002459	0.9099759923	-1.625089392	0.4099759923
15	-80	2.32443995272353	1.093068808	-1.513362925	0.3902756018
20	-80	2.24886488097651	1.258811329	-1.384816991	0.3676094854
25	-80	2.17046109532400	1.405783407	-1.242458785	0.3425078926
30	-80	2.09014574456910	1.533097195	-1.089376831	0.3155154139
35	-80	2.00884911865533	1.640394180	-0.9286516757	0.2871752326
40	-80	1.92748586823869	1.727813889	-0.7632516135	0.2580107390
45	-80	1.84693922548048	1.795948944	-0.5959489444	0.2285107645

-45	-75	2.71776947523605	-1.388161077	-1.188161077	0.5059312358
-40	-75	2.72777784119469	-1.217572637	-1.346923361	0.5484714614
-35	-75	2.72845075954253	-1.028587284	-1.483048883	0.5849461851
-30	-75	2.72000946640633	-0.8248036596	-1.594627248	0.6148435181
-25	-75	2.70275497966539	-0.6099729762	-1.680344729	0.6378114479
-20	-75	2.67707721121991	-0.3879011796	-1.739488442	0.6536589579
-15	-75	2.64343467559033	-0.1623464127	-1.771910464	0.6623464127
-10	-75	2.60234416365688	0.06306402613	-1.777987045	0.6639746275
-5	-75	2.55436363111248	0.2849036550	-1.758562473	0.6587698292
-2.84217e-14	-75	2.50008538819176	0.5000000000	-1.714897044	0.6470697128
5	-75	2.44013612971923	0.7054775430	-1.648619063	0.6293105813
10	-75	2.37518674520450	0.8987960348	-1.561684702	0.6060165894
15	-75	2.30593651883940	1.077781927	-1.456311508	0.5777819271
20	-75	2.23312127421011	1.240655146	-1.334933290	0.5452587317
25	-75	2.15750315692292	1.386047836	-1.200135716	0.5091398305
30	-75	2.07987641571145	1.513021433	-1.054604591	0.4701448831
35	-75	2.00106073305798	1.621074287	-0.9010600088	0.4290027364
40	-75	1.92188470176923	1.710133950	-0.7421814830	0.3864313637
45	-75	1.84317362433667	1.780538591	-0.5805385914	0.3431192814

-45	-70	2.69414127499657	-1.344923910	-1.144923910	0.6714973878
-40	-70	2.70022676115762	-1.171902351	-1.292495633	0.7252091024
-35	-70	2.69745518238103	-0.9826997460	-1.417514687	0.7707123166
-30	-70	2.68616269566719	-0.7809529907	-1.518675662	0.8075319004
-25	-70	2.66676027778849	-0.5702936921	-1.595252230	0.8354034917
-20	-70	2.63971877727513	-0.3542541155	-1.647043893	0.8542541155
-15	-70	2.60555176794396	-0.1361946701	-1.674310832	0.8641784699
-10	-70	2.56478833293939	0.08074825786	-1.677694783	0.8654101272
-5	-70	2.51795808202053	0.2936885371	-1.658150812	0.8582967035
-2.84217e-14	-70	2.46558786756592	0.5000000000	-1.616894725	0.8432807158
5	-70	2.40820591391660	0.6973188071	-1.555364286	0.8208854674
10	-70	2.34634985177217	0.8835448136	-1.475190728	0.7917046789
15	-70	2.28057326941927	1.056845032	-1.378173953	0.7563934606
20	-70	2.21144782056515	1.215658963	-1.266256840	0.7156589627
25	-70	2.13957233000353	1.358708894	-1.141507166	0.6702537945
30	-70	2.06558096419136	1.485015583	-1.006097036	0.6209685378
35	-70	1.99014690056901	1.593916341	-0.8622744424	0.5686213948
40	-70	1.91397898712291	1.685080459	-0.7123238940	0.5140438585
45	-70	1.83781901053861	1.758522063	-0.5585220628	0.4580645700

-45	-65	2.66300724546227	-1.288323700	-1.088323700	0.8339090363
-40	-65	2.66436372489025	-1.112810500	-1.222072707	0.8962772228
-35	-65	2.65756219235232	-0.9239678327	-1.333636822	0.9483004240
-30	-65	2.64302816738931	-0.7253681995	-1.422399980	0.9896913641
-25	-65	2.62125908331867	-0.5204079841	-1.488271984	1.020407984
-20	-65	2.59280872684801	-0.3122370360	-1.531602916	1.040613530
-15	-65	2.55823232196315	-0.1037061715	-1.553062105	1.050620114
-10	-65	2.51805345436225	0.1026405707	-1.553537307	1.050841704
-5	-65	2.47275572248099	0.3045445691	-1.534065799	1.041761991
-2.84217e-14	-65	2.42278288463692	0.5000000000	-1.495786995	1.023912291
5	-65	2.36854791144198	0.6872184739	-1.439916949	0.9978596611
10	-65	2.31044648873815	0.8645981767	-1.367739011	0.9642025358
15	-65	2.24886853226460	1.030700750	-1.280602162	0.9235699561
20	-65	2.18421005594033	1.184237246	-1.179926382	0.8766240687
25	-65	2.11688561657187	1.324064664	-1.067212374	0.8240646635
30	-65	2.04734974695579	1.449198084	-0.9440593084	0.7666374460
35	-65	1.97610497684573	1.558831259	-0.8121677515	0.7051354029
40	-65	1.90371385307760	1.652368823	-0.6733396851	0.6403988124
45	-65	1.83079692277098	1.729458738	-0.5294587375	0.5733060247

-45	-60	2.62378192122720	-1.217668466	-1.017668466	0.9916963511
-40	-60	2.61993829183952	-1.040153998	-1.135484060	1.059717216
-35	-60	2.60887240708207	-0.8527326741	-1.231902472	1.115384412
-30	-60	2.59099660636545	-0.6587289083	-1.306977341	1.158728908
-25	-60	2.56689377872961	-0.4611825696	-1.361262672	1.190070559
-20	-60	2.53718889546010	-0.2627464166	-1.395628556	1.209911711
-15	-60	2.50245987745968	-0.06566760303	-1.411100235	1.218844289
-10	-60	2.46320462997251	0.1281699348	-1.408753089	1.217489163
-5	-60	2.41983963946189	0.3171790388	-1.389653149	1.206461808
-2.84217e-14	-60	2.37270988209045	0.5000000000	-1.354827034	1.186354941
5	-60	2.32210469044511	0.6754370020	-1.305254108	1.157733999
10	-60	2.26827814086337	0.8424051736	-1.241876236	1.121142768
15	-60	2.21145701202903	0.9998879696	-1.165607301	1.077108877
20	-60	2.15186187751450	1.146906874	-1.077362028	1.026160445
25	-60	2.08972540040630	1.282505161	-0.9780877335	0.9688444047
30	-60	2.02531539021588	1.405748578	-0.8688025554	0.9057485777
35	-60	1.95895246897794	1.515741132	-0.7506286729	0.8375208548
40	-60	1.89102745981470	1.611657291	-0.6248215697	0.7648860899
45	-60	1.82201289125122	1.692787427	-0.4927874273	0.6886561423

-45	-55	2.57574086678349	-1.132214209	-0.9322142090	1.142888693
-40	-55	2.56684437692980	-0.9539761107	-1.032781253	1.213306496
-35	-55	2.55169619234752	-0.7695780993	-1.113145432	1.269578099
-30	-55	2.53066414022290	-0.5819476365	-1.173988278	1.312180718
-25	-55	2.50448425049220	-0.3936774776	-1.216497535	1.341946021
-20	-55	2.47386062149895	-0.2068272582	-1.241991931	1.359797389
-15	-55	2.43936605799967	-0.02296999120	-1.251750578	1.366630467
-10	-55	2.40144114927490	0.1567017332	-1.246941219	1.363262918
-5	-55	2.36041341040795	0.3312701417	-1.228591105	1.350414030
-2.84217e-14	-55	2.31651842345271	0.5000000000	-1.197580802	1.328700382
5	-55	2.26992138379290	0.6622612004	-1.154654007	1.298642717
10	-55	2.22074167745752	0.8174663552	-1.100441168	1.260682478
15	-55	2.16906043940260	0.9650198010	-1.035477524	1.215194445
20	-55	2.11493735067313	1.104276310	-0.9602355179	1.162509425
25	-55	2.05844094129029	1.234515423	-0.8751734074	1.102948294
30	-55	1.99966136689908	1.354925336	-0.7807741182	1.036849200
35	-55	1.93873407790325	1.464603205	-0.6775961447	0.9646032052
40	-55	1.87586729463027	1.562575611	-0.5663283023	0.8866926231
45	-55	1.81136554861308	1.647839297	-0.4478392971	0.8037257285

-45	-50	2.51843820141366	-1.031513652	-0.8315136525	1.285092541
-40	-50	2.50555854977756	-0.8547961056	-0.9145831261	1.354796106
-35	-50	2.48668867016923	-0.6754181685	-0.9786711145	1.408572313
-30	-50	2.46282918728967	-0.4961694514	-1.025416103	1.447796015
-25	-50	2.43500338689306	-0.3191216735	-1.056612098	1.473972563
-20	-50	2.40394986762270	-0.1456370075	-1.073873099	1.488456263
-15	-50	2.37017924731943	0.02343051696	-1.078581524	1.492407101
-10	-50	2.33403521258143	0.1875690971	-1.071883699	1.486786959
-5	-50	2.29573619998386	0.3464836793	-1.054699575	1.472367766
-2.84217e-14	-50	2.25540424792466	0.5000000000	-1.027739891	1.449745905
5	-50	2.21308857877008	0.6479896584	-0.9915295360	1.419361810
10	-50	2.16878804462340	0.7903111330	-0.9464362504	1.381524050
15	-50	2.12246059905923	0.9267609514	-0.8926935531	1.336428573
20	-50	2.07403894624936	1.057031707	-0.8304320374	1.284184958
25	-50	2.02344882630136	1.180676995	-0.7597165270	1.224847599
30	-50	1.97062469655656	1.297081719	-0.6805860355	1.158449233
35	-50	1.91553499712488	1.405442915	-0.5931064942	1.085045182
40	-50	1.85820487226404	1.504761483	-0.4974281071	1.004761483
45	-50	1.79875296585715	1.593858377	-0.3938583774	0.9178561611

-45	-45	2.45413013399461	-0.9168926935	-0.7168926935	1.416892693
-40	-45	2.43726599494358	-0.7436725065	-0.7821511776	1.482151178
-35	-45	2.41466473234466	-0.5714171817	-0.8301423124	1.530142312
-30	-45	2.38838673006031	-0.4027253318	-0.8635661399	1.563566140
-25	-45	2.35950729059272	-0.2388693569	-0.8845104493	1.584510449
-20	-45	2.32864321989739	-0.08039934790	-0.8946341026	1.594634103
-15	-45	2.29616157902596	0.07255393596	-0.8952504285	1.595250429
-10	-45	2.26226994093782	0.2201028455	-0.8873756437	1.587375644
-5	-45	2.22706415527236	0.3624881746	-0.8717673571	1.571767357
-2.84217e-14	-45	2.19055560874368	0.5000000000	-0.8489567255	1.548956726
5	-45	2.15269210834898	0.6329196650	-0.8192787229	1.519278723
10	-45	2.11337602163817	0.7614753987	-0.7829006751	1.482900675
15	-45	2.07247132255332	0.8858046044	-0.7398423855	1.439842385
20	-45	2.02981406653442	1.005918103	-0.6899985643	1.389998564
25	-45	1.98522231301383	1.121663658	-0.6331620172	1.333162017
30	-45	1.93850901125585	1.232687537	-0.5690520399	1.269052040
35	-45	1.88949834127028	1.338394234	-0.4973510535	1.197351054
40	-45	1.83805126856150	1.437909048	-0.4177564771	1.117756477
45	-45	1.78409602869249	1.530048322	-0.3300483224	1.030048322