path: root/test/Kerr-definition-inner-expansion-EE/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	2.55676174810021	-0.9761470835	-0.7761470835	1.476147084
-40	-45	2.53801807437311	-0.7950836333	-0.8434205727	1.543420573
-35	-45	2.51523907589980	-0.6160432858	-0.8938749940	1.593874994
-30	-45	2.48925013185932	-0.4408481143	-0.9295967361	1.629596736
-25	-45	2.46066165735945	-0.2705454031	-0.9524399495	1.652439950
-20	-45	2.42990723291676	-0.1056387520	-0.9639787953	1.663978795
-15	-45	2.39727732989969	0.05373055257	-0.9655002517	1.665500252
-10	-45	2.36294879648645	0.2076464517	-0.9580193632	1.658019363
-5	-45	2.32700832987679	0.3563170430	-0.9423037136	1.642303714
0	-45	2.28946533699951	0.5000000000	-0.9188964651	1.618896465
5	-45	2.25027311342180	0.6389448808	-0.8881472547	1.588147255
10	-45	2.20934303390554	0.7733488243	-0.8502382175	1.550238217
15	-45	2.16654526878822	0.9033171081	-0.8051999389	1.505199939
20	-45	2.12172426093912	1.028826128	-0.7529378455	1.452937846
25	-45	2.07471409892576	1.149687618	-0.6932595937	1.393259594
30	-45	2.02534858639673	1.265509811	-0.6259018865	1.325901887
35	-45	1.97348606448817	1.375660645	-0.5505730049	1.250573005
40	-45	1.91902508672640	1.479227850	-0.4669983080	1.166998308
45	-45	1.86195928331156	1.575002693	-0.3750026934	1.075002693

-45	-40	2.51195572380177	-1.027571526	-0.5817847037	1.527571526
-40	-40	2.49235819573479	-0.8476584603	-0.6476584603	1.606076812
-35	-40	2.46851763375603	-0.6668290087	-0.6982794207	1.666404523
-30	-40	2.44120072367752	-0.4874211326	-0.7350815310	1.710263570
-25	-40	2.41101129088195	-0.3110508651	-0.7594495069	1.739304193
-20	-40	2.37840733129337	-0.1387769615	-0.7726410633	1.755025278
-15	-40	2.34372299014544	0.02875004915	-0.7757486535	1.758728760
-10	-40	2.30719078754744	0.1911624568	-0.7696869848	1.751504744
-5	-40	2.26895944926435	0.3482742457	-0.7551945282	1.734233307
0	-40	2.22910694879655	0.5000000000	-0.7328423274	1.707594991
5	-40	2.18766241592892	0.6462894060	-0.7030547696	1.672095562
10	-40	2.14462080554290	0.7870761379	-0.6661294516	1.628089682
15	-40	2.09994837752449	0.9222344423	-0.6222535273	1.575800391
20	-40	2.05359848076489	1.051541942	-0.5715288128	1.515349031
25	-40	2.00552673549111	1.174648103	-0.5139988793	1.446787526
30	-40	1.95570317044191	1.291046234	-0.4496774816	1.370132269
35	-40	1.90414288410840	1.400058044	-0.3785921771	1.285416102
40	-40	1.85090919527807	1.500816592	-0.3008165923	1.192726769
45	-40	1.79615933420562	1.592281137	-0.2165326993	1.092281137

-45	-35	2.46513477401022	-1.062124536	-0.3938113754	1.562124536
-40	-35	2.44404576874765	-0.8844174556	-0.4552615475	1.649884476
-35	-35	2.41868093455519	-0.7033973139	-0.5033973139	1.718629475
-30	-35	2.38973948528384	-0.5216974062	-0.5391095385	1.769631817
-25	-35	2.35780201844590	-0.3413367184	-0.5633511418	1.804252415
-20	-35	2.32333584852583	-0.1638195755	-0.5770590203	1.823829294
-15	-35	2.28670738267803	0.009758145613	-0.5811049695	1.829607509
-10	-35	2.24819735779758	0.1786087152	-0.5762686652	1.822700550
-5	-35	2.20801197397136	0.3421642811	-0.5632237788	1.804070522
0	-35	2.16629826904938	0.5000000000	-0.5425376412	1.774527656
5	-35	2.12316223766188	0.6517703898	-0.5146804712	1.734743494
10	-35	2.07868281628108	0.7971583160	-0.4800377463	1.685268555
15	-35	2.03291886577433	0.9358327271	-0.4389224879	1.626549881
20	-35	1.98592396575032	1.067414825	-0.3915951371	1.558959419
25	-35	1.93776308342906	1.191453829	-0.3382870083	1.482827521
30	-35	1.88851636045567	1.307406949	-0.2792191367	1.398469858
35	-35	1.83831078388686	1.414638317	-0.2146383170	1.306238889
40	-35	1.78732048897567	1.512418718	-0.1448379570	1.206553644
45	-35	1.73578759681495	1.599946511	-0.07019083853	1.099946511

-45	-30	2.41705080711870	-1.082331183	-0.2135593345	1.582331183
-40	-30	2.39389396172411	-0.9072718307	-0.2682864109	1.677121260
-35	-30	2.36656696317848	-0.7270942986	-0.3117903406	1.752472277
-30	-30	2.33570650486435	-0.5445597041	-0.3445597041	1.809230479
-25	-30	2.30186623405873	-0.3619420562	-0.3671977384	1.848440705
-20	-30	2.26551593434441	-0.1810743038	-0.3803587646	1.871236271
-15	-30	2.22704808132483	-0.003412247018	-0.3847026397	1.878760083
-10	-30	2.18678499242428	0.1698965257	-0.3808631157	1.872109832
-5	-30	2.14498600832479	0.3379444665	-0.3694277652	1.852303224
0	-30	2.10186212682702	0.5000000000	-0.3509310634	1.820265997
5	-30	2.05759103727910	0.6554527685	-0.3258551693	1.776833274
10	-30	2.01232879327329	0.8037686505	-0.2946345785	1.722757625
15	-30	1.96621450749376	0.9444522198	-0.2576614373	1.658718266
20	-30	1.91938349724301	1.077017694	-0.2152982561	1.585343084
25	-30	1.87198551945725	1.200971683	-0.1678952248	1.503238625
30	-30	1.82417758753038	1.315797018	-0.1157970177	1.413001883
35	-30	1.77615261823248	1.420957144	-0.05936751023	1.315263109
40	-30	1.72813818829338	1.515901385	0.0009996471431	1.210704126
45	-30	1.68040421563486	1.600082788	0.06486690620	1.100082788

-45	-25	2.36820246246945	-1.090349631	-0.04159221185	1.590349631
-40	-25	2.34249785199257	-0.9179764931	-0.08800332312	1.689878580
-35	-25	2.31283596181428	-0.7392575502	-0.1252914380	1.769843200
-30	-25	2.27980453433349	-0.5569694307	-0.1536809737	1.830724756
-25	-25	2.24393478179888	-0.3735225685	-0.1735225685	1.873275193
-20	-25	2.20569931144955	-0.1909690840	-0.1852486965	1.898421956
-15	-25	2.16551263148501	-0.01102995175	-0.1893371832	1.907189744
-10	-25	2.12373274797566	0.1648660372	-0.1862825912	1.900639150
-5	-25	2.08066662896473	0.3355366893	-0.1765764405	1.879824243
0	-25	2.03658117198236	0.5000000000	-0.1606963948	1.845769375
5	-25	1.99171450379951	0.6574322175	-0.1391012697	1.799458480
10	-25	1.94628546435356	0.8071320349	-0.1122297527	1.741832326
15	-25	1.90049446604259	0.9484894621	-0.08049897775	1.673785459
20	-25	1.85453462007669	1.080961367	-0.04431013623	1.596178238
25	-25	1.80860846554327	1.204058035	-0.004058034561	1.509857328
30	-25	1.76291663651156	1.317328401	0.03986955102	1.415654316
35	-25	1.71767755061869	1.420361370	0.08707949933	1.314412255
40	-25	1.67312571031174	1.512787664	0.1371697636	1.206993337
45	-25	1.62951515107612	1.594289386	0.1897244791	1.094289386

-45	-20	2.31889606729806	-1.087959339	0.1220300672	1.587959339
-40	-20	2.29027496317194	-0.9180720487	0.08489304892	1.689992459
-35	-20	2.25799469092915	-0.7411431992	0.05484958913	1.772536186
-30	-20	2.22261060205746	-0.5598984575	0.03182417940	1.835797979
-25	-20	2.18464076019880	-0.3767969302	0.01562782960	1.880297085
-20	-20	2.14456272088024	-0.1940139026	0.005986097416	1.906787526
-15	-20	2.10281052429726	-0.01344090121	0.002564775809	1.916187530
-10	-20	2.05977250185202	0.1633003984	0.004992166440	1.909518329
-5	-20	2.01579453104059	0.3348338197	0.01287585238	1.887858080
0	-20	1.97118747578025	0.5000000000	0.02581417701	1.852310325
5	-20	1.92623481893501	0.6578280140	0.04340408326	1.803982455
10	-20	1.88119875622708	0.8075091405	0.06524646732	1.743970998
15	-20	1.83631818445700	0.9483717637	0.09095179054	1.673346203
20	-20	1.79181796739985	1.079860206	0.1201397944	1.593152821
25	-20	1.74792249916127	1.201521783	0.1524365121	1.504418319
30	-20	1.70484194446653	1.312989619	0.1874791994	1.408139327
35	-20	1.66279170120227	1.413980276	0.2249099772	1.305299110
40	-20	1.62198227610032	1.504284536	0.2643786931	1.196859704
45	-20	1.58262594479204	1.583768128	0.3055406606	1.083768128

-45	-15	2.26929729491488	-1.076586559	0.2775549048	1.576586559
-40	-15	2.23750438982416	-0.9088670481	0.2501073130	1.679022366
-35	-15	2.20242314774564	-0.7338855688	0.2278276459	1.762171216
-30	-15	2.16459201218922	-0.5542828820	0.2107056117	1.826071517
-25	-15	2.12452526767095	-0.3725044083	0.1986424788	1.871091742
-20	-15	2.08270736209579	-0.1907676461	0.1914676655	1.897868510
-15	-15	2.03958844560161	-0.01104500623	0.1889549938	1.907245928
-10	-15	1.99558004221507	0.1649402791	0.1908380937	1.900218104
-5	-15	1.95105498068991	0.3357067138	0.1968233415	1.877880855
0	-15	1.90635263675221	0.5000000000	0.2065996309	1.841395246
5	-15	1.86178337438498	0.6567759555	0.2198464695	1.791957371
10	-15	1.81763116674084	0.8051819414	0.2362408271	1.730772796
15	-15	1.77414938145350	0.9445358492	0.2554641508	1.659030375
20	-15	1.73157034070840	1.074306689	0.2772044005	1.577894659
25	-15	1.69011398099932	1.194099487	0.3011573179	1.488501154
30	-15	1.64997484168641	1.303634228	0.3270320567	1.391935314
35	-15	1.61134166779514	1.402738074	0.3545482237	1.289243581
40	-15	1.57438461841984	1.491327043	0.3834401176	1.181417565
45	-15	1.53926580565795	1.569399671	0.4134552219	1.069399671

-45	-10	2.21946947501646	-1.057343676	0.4253982916	1.557343676
-40	-10	2.18435959385966	-0.8914431709	0.4076044798	1.658257398
-35	-10	2.14639954677746	-0.7184795410	0.3931612318	1.740169128
-30	-10	2.10612297831816	-0.5409942689	0.3820727621	1.803054964
-25	-10	2.06404668977769	-0.3613742244	0.3742847483	1.847222985
-20	-10	2.02066117078986	-0.1818108997	0.3696937111	1.873260051
-15	-10	1.97642685986926	-0.004275071098	0.3681561160	1.881980186
-10	-10	1.93176809528217	0.1694979117	0.3694979117	1.874370485
-5	-10	1.88706944088521	0.3380111611	0.3735233832	1.851540901
0	-10	1.84268002449621	0.5000000000	0.3800219717	1.814685574
5	-10	1.79891661231742	0.6544216694	0.3887744580	1.765047758
10	-10	1.75606270344555	0.8004410271	0.3995589729	1.703885735
15	-10	1.71436469415983	0.9374112676	0.4121565942	1.632441074
20	-10	1.67404208979022	1.064854791	0.4263536123	1.551925784
25	-10	1.63529033814894	1.182444323	0.4419443045	1.463506574
30	-10	1.59827318247321	1.289979142	0.4587346117	1.368284011
35	-10	1.56314064374712	1.387372017	0.4765410683	1.267298577
40	-10	1.53001625903730	1.474624636	0.4951940234	1.161512412
45	-10	1.49901051820959	1.551816471	0.5145363774	1.051816471

-45	-5	2.16940010627854	-1.031070519	0.5660486866	1.531070519
-40	-5	2.13093325407585	-0.8666715870	0.5575040839	1.628735774
-35	-5	2.09012140261606	-0.6957775083	0.5505914742	1.707747265
-30	-5	2.04750106329448	-0.5208246011	0.5453095377	1.768120075
-25	-5	2.00359159974937	-0.3441050422	0.5416289745	1.810189105
-20	-5	1.95888523076512	-0.1677254669	0.5394967412	1.834560643
-15	-5	1.91384168013188	0.006420643707	0.5388403494	1.842063235
-10	-5	1.86888322225753	0.1766697301	0.5395722930	1.833697081
-5	-5	1.82438872807188	0.3415945409	0.5415945409	1.810582683
0	-5	1.78069734306691	0.5000000000	0.5448020005	1.773921252
5	-5	1.73811094693974	0.6509142533	0.5490857467	1.724957808
10	-5	1.69689238396045	0.7935746150	0.5543362416	1.664944377
15	-5	1.65726291752250	0.9274077488	0.5604461824	1.595107434
20	-5	1.61941426320428	1.052009953	0.5673116411	1.516634882
25	-5	1.58350487303804	1.167124202	0.5748341275	1.430652469
30	-5	1.54966172921038	1.272616359	0.5829217266	1.338210789
35	-5	1.51799244679855	1.368457317	0.5914890717	1.240285586
40	-5	1.48857696837467	1.454697123	0.6004585722	1.137763727
45	-5	1.46148107860335	1.531451315	0.6097597029	1.031451315

-45	0	2.11902184456798	-0.9983747158	0.7000000000	1.498374716
-40	0	2.07726080173588	-0.8352375054	0.7000000000	1.591274094
-35	0	2.03372930673906	-0.6664992083	0.7000000000	1.665933519
-30	0	1.98896803152497	-0.4944840158	0.7000000000	1.722496843
-25	0	1.94349244618830	-0.3213553993	0.7000000000	1.761402338
-20	0	1.89778496389824	-0.1490806854	0.7000000000	1.783334526
-15	0	1.85228972927925	0.02059214101	0.7000000000	1.789174487
-10	0	1.80740827512086	0.1861468467	0.7000000000	1.779949682
-5	0	1.76349441566745	0.3463013344	0.7000000000	1.756783787
0	0	1.72085634798510	0.5000000000	0.7000000000	1.720856348
5	0	1.67976205217801	0.6464009093	0.7000000000	1.673370050
10	0	1.64043823127895	0.7848591094	0.7000000000	1.615516289
15	0	1.60306887022770	0.9149047542	0.7000000000	1.548445623
20	0	1.56780651036525	1.036221407	0.7000000000	1.473256209
25	0	1.53476906377827	1.148621434	0.7000000000	1.390973154
30	0	1.50404750976406	1.252023755	0.7000000000	1.302543352
35	0	1.47570979367061	1.346432365	0.7000000000	1.208830694
40	0	1.44980136943040	1.431914357	0.7000000000	1.110612283
45	0	1.42635432932920	1.508584819	0.7000000000	1.008584819

-45	5	2.06823694320648	-0.9596738519	0.8277049145	1.459673852
-40	5	2.02334669176395	-0.7976710692	0.8353015820	1.546504159
-35	5	1.97733055388163	-0.6312488355	0.8413458772	1.615590770
-30	5	1.93072897525099	-0.4626054274	0.8458682308	1.667281508
-25	5	1.88404053402453	-0.2937386615	0.8489212829	1.702178053
-20	5	1.83771983085752	-0.1264238011	0.8505754482	1.721085248
-15	5	1.79217494475672	0.03779846850	0.8509144099	1.724959599
-10	5	1.74776549224829	0.1976239705	0.8500307814	1.714859679
-5	5	1.70479985991220	0.3519780349	0.8480219651	1.691898803
0	5	1.66353662672100	0.5000000000	0.8449867703	1.657206368
5	5	1.62419469129321	0.6410232928	0.8410232928	1.611903613
10	5	1.58695314792875	0.7745543346	0.8362264113	1.557075007
15	5	1.55194996839950	0.9002475619	0.8306856869	1.493744237
20	5	1.51929540665319	1.017882426	0.8244850183	1.422870270
25	5	1.48906924110388	1.127338852	0.8177013433	1.345332510
30	5	1.46133138451017	1.228577413	0.8104048401	1.261933096
35	5	1.43611874292153	1.321616625	0.8026583356	1.173390145
40	5	1.41345586086920	1.406518288	0.7945180650	1.080346426
45	5	1.39335395124002	1.483370080	0.7860337341	0.9833700804

-45	10	2.01692471258497	-0.9152233144	0.9495420541	1.415223314
-40	10	1.96917227433788	-0.7543682465	0.9635908269	1.494897864
-35	10	1.92101097133514	-0.5905297525	0.9746183212	1.557437892
-30	10	1.87296351412729	-0.4257504448	0.9827309339	1.603446806
-25	10	1.82549395722703	-0.2618206746	0.9880706269	1.633729709
-20	10	1.77900595642463	-0.1002716681	0.9908042496	1.649232854
-15	10	1.73384769513529	0.05761774570	0.9911146196	1.650993049
-10	10	1.69031458163765	0.2108076790	0.9891923210	1.640091152
-5	10	1.64865009124073	0.3584774316	0.9852283506	1.617610359
0	10	1.60904820183598	0.5000000000	0.9794082880	1.584603144
5	10	1.57166739285204	0.6349142594	0.9719097888	1.542077042
10	10	1.53663051023732	0.7628988406	0.9628988406	1.490973415
15	10	1.50402743610057	0.8837448062	0.9525275871	1.432155114
20	10	1.47392896000165	0.9973326775	0.9409350028	1.366410301
25	10	1.44638298428140	1.103608934	0.9282453203	1.294443535
30	10	1.42142555673142	1.202568593	0.9145695696	1.216884499
35	10	1.39907612168145	1.294234994	0.9000050710	1.134285123
40	10	1.37935149737549	1.378650762	0.8846381886	1.047135202
45	10	1.36225791537521	1.455860747	0.8685440395	0.9558607469

-45	15	1.96495587889044	-0.8651463976	1.065789875	1.365146398
-40	15	1.91471006067679	-0.7056163659	1.084988766	1.436797635
-35	15	1.86484503854985	-0.5447608051	1.099799772	1.492073061
-30	15	1.81583603997469	-0.3844183304	1.110459976	1.531857483
-25	15	1.76808501216500	-0.2261207908	1.117242728	1.557171061
-20	15	1.72192069864550	-0.07110620982	1.120439457	1.569101416
-15	15	1.67760663036118	0.07965417351	1.120345826	1.568751981
-10	15	1.63535272016863	0.2254227771	1.117251772	1.557204812
-5	15	1.59532108409274	0.3656621438	1.111432963	1.535488723
0	15	1.55762953878732	0.5000000000	1.103144190	1.504554599
5	15	1.52236850319998	0.6281947084	1.092618508	1.465272222
10	15	1.48960296965131	0.7501057060	1.080064478	1.418419943
15	15	1.45937758740856	0.8656657449	1.065665745	1.364683139
20	15	1.43172866922642	0.9748587635	1.049583593	1.304663730
25	15	1.40668000189548	1.077698238	1.031956324	1.238877868
30	15	1.38425351027702	1.174212402	1.012903065	1.167770136
35	15	1.36446742547445	1.264429246	0.9925249842	1.091718103
40	15	1.34734168132104	1.348367184	0.9709085945	1.011044639
45	15	1.33289447787777	1.426023894	0.9481273546	0.9260238941

-45	20	1.91220897808800	-0.8094636489	1.176605791	1.309463649
-40	20	1.85994719257787	-0.6516255333	1.199532355	1.372453867
-35	20	1.80891744206192	-0.4943006466	1.216840821	1.420008486
-30	20	1.75951309129913	-0.3390607018	1.228956400	1.453295766
-25	20	1.71203840017739	-0.1871198419	1.236322244	1.473533256
-20	20	1.66671967893981	-0.03937645079	1.239376451	1.481924619
-15	20	1.62371404347664	0.1035395523	1.238534193	1.479610534
-10	20	1.58312833031905	0.2412147810	1.234178697	1.467643908
-5	20	1.54503174277310	0.3734062487	1.226655174	1.446973198
0	20	1.50946021563698	0.5000000000	1.216265799	1.418428626
5	20	1.47643471974987	0.6209731842	1.203272498	1.382729823
10	20	1.44596449152529	0.7363638061	1.187896915	1.340485756
15	20	1.41805367288836	0.8462445843	1.170323203	1.292202380
20	20	1.39270909047645	0.9507023561	1.150702356	1.238294546
25	20	1.36994037271543	1.049820151	1.129154799	1.179093120
30	20	1.34976649785903	1.143664449	1.105775684	1.114859529
35	20	1.33221606030308	1.232274044	1.080638512	1.045795716
40	20	1.31732525116315	1.315649714	1.053798532	0.9720534765
45	20	1.30514156582764	1.393749301	1.025298142	0.8937493008

-45	25	1.85857533250954	-0.7481131323	1.282004712	1.248113132
-40	25	1.80489084980360	-0.5925486209	1.307155301	1.302048744
-35	25	1.75333040008565	-0.4394647836	1.325642541	1.341694758
-30	25	1.70416592364518	-0.2900902288	1.338131034	1.368476419
-25	25	1.65756818514200	-0.1452608294	1.345260829	1.383766314
-20	25	1.61363125856277	-0.005494700444	1.347624525	1.388835275
-15	25	1.57239008344720	0.1289384708	1.345752395	1.384820480
-10	25	1.53383700028589	0.2579540680	1.340105509	1.372710693
-5	25	1.49794336844844	0.3815972140	1.331077486	1.353350037
0	25	1.46466356352543	0.5000000000	1.318993569	1.327435993
5	25	1.43395226859997	0.6133447012	1.304118295	1.295535863
10	25	1.40576763833948	0.7218360478	1.286659214	1.258094745
15	25	1.38007954128871	0.8256789968	1.266773906	1.215450563
20	25	1.35687268427690	0.9250611454	1.244575486	1.167845899
25	25	1.33615190814668	1.020139380	1.220139380	1.115442501
30	25	1.31794116016549	1.111027611	1.193507788	1.058330867
35	25	1.30228695054566	1.197787894	1.164696281	0.9965443906
40	25	1.28925467045119	1.280420274	1.133698141	0.9300686657
45	25	1.27893448680004	1.358859418	1.100492724	0.8588594180

-45	30	1.80397970677859	-0.6809819369	1.381840239	1.180981937
-40	30	1.74958967499086	-0.5285118323	1.407677088	1.225732671
-35	30	1.69822332497290	-0.3805498396	1.426050005	1.257555498
-30	30	1.64998754167968	-0.2378968610	1.437896861	1.278074854
-25	30	1.60488861191075	-0.1009562891	1.444063001	1.288754921
-20	30	1.56286630683415	0.03016084955	1.445285560	1.290872457
-15	30	1.52382184835922	0.1555482627	1.442190344	1.285511384
-10	30	1.48763175023495	0.2754363548	1.435292356	1.273563719
-5	30	1.45417128956758	0.3901361112	1.425007597	1.255749995
0	30	1.42331893237330	0.5000000000	1.411659466	1.232630353
5	30	1.39496991528071	0.6053911741	1.395491511	1.204626632
10	30	1.36903841385475	0.7066615321	1.376675179	1.172035790
15	30	1.34546760378408	0.8041357191	1.355321398	1.135049956
20	30	1.32422718574068	0.8980978880	1.331485493	1.093764958
25	30	1.30532103198086	0.9887821358	1.305176631	1.048196673
30	30	1.28878355702483	1.076361528	1.276361528	0.9982874506
35	30	1.27468553114567	1.160940245	1.244972751	0.9439204930
40	30	1.26313321161951	1.242544079	1.210914328	0.8849295739
45	30	1.25426592650170	1.321109793	1.174067960	0.8211097928

-45	35	1.74839994591185	-0.6079387960	1.475787097	1.107938796
-40	35	1.69413910576593	-0.4596365912	1.500792600	1.143650355
-35	35	1.64377236354606	-0.3178471243	1.517847124	1.168006740
-30	35	1.59719220539366	-0.1828556600	1.528163952	1.182740697
-25	35	1.55421622476671	-0.05459244158	1.532775961	1.189327329
-20	35	1.51461911359443	0.06724559745	1.532534824	1.188982949
-15	35	1.47816590683463	0.1830994640	1.528127684	1.182688901
-10	35	1.44462525849505	0.2934834474	1.520092571	1.171213570
-5	35	1.41378561860767	0.3989381072	1.508839641	1.155142721
0	35	1.38546075141037	0.5000000000	1.494667640	1.134903007
5	35	1.35949736756835	0.5971811959	1.477780837	1.110786153
10	35	1.33577575896026	0.6909559612	1.458300306	1.082965071
15	35	1.31421739091462	0.7817519966	1.436277166	1.051512767
20	35	1.29478129166365	0.8699427132	1.411697419	1.016409251
25	35	1.27747143606825	0.9558413376	1.384491312	0.9775549031
30	35	1.26233573038160	1.039692778	1.354536720	0.9347753119
35	35	1.24947117230479	1.121665401	1.321665401	0.8878302030
40	35	1.23902519994659	1.201839604	1.285667498	0.8364198696
45	35	1.23119384935177	1.280191874	1.246296232	0.7801918744

-45	40	1.69189414381119	-0.5288753476	1.563328925	1.028875348
-40	40	1.63871435986886	-0.3860794066	1.586079407	1.055988316
-35	40	1.59020963597882	-0.2516667930	1.600766265	1.073491432
-30	40	1.54602460117750	-0.1253387311	1.608844295	1.083118454
-25	40	1.50577239714090	-0.006533507297	1.611484235	1.086264612
-20	40	1.46906871663064	0.1054472089	1.609604881	1.084024884
-15	40	1.43555197838773	0.2113550526	1.603909680	1.077237609
-10	40	1.40489883280924	0.3119420785	1.594924486	1.066529471
-5	40	1.37682689900133	0.4079313208	1.583026345	1.052349819
0	40	1.35110018704874	0.5000000000	1.568470460	1.035002790
5	40	1.32752897463556	0.5887721176	1.551409178	1.014669947
10	40	1.30596843407753	0.6748152276	1.531905545	0.9914264223
15	40	1.28632396659347	0.7586398259	1.509946768	0.9652569710
20	40	1.26854779388947	0.8406982036	1.485448122	0.9360606214
25	40	1.25264455172634	0.9213826999	1.458259192	0.9036581162
30	40	1.23867328010459	1.001020732	1.428165091	0.8677933632
35	40	1.22675087019512	1.079865617	1.394886872	0.8281339257
40	40	1.21706056463921	1.158084367	1.358084367	0.7842744091
45	40	1.20985531639161	1.235737702	1.317357234	0.7357377019

-45	45	1.63462126172773	-0.4437490255	1.643749025	0.9437490255
-40	45	1.58357547560407	-0.3080567673	1.663004555	0.9630045555
-35	45	1.53782571080760	-0.1823526541	1.674500583	0.9745005829
-30	45	1.49675724420126	-0.06572106303	1.679857624	0.9798576241
-25	45	1.45978478187590	0.04287479961	1.680308156	0.9803081558
-20	45	1.42638211395503	0.1444834306	1.676773747	0.9767737466
-15	45	1.39608591584400	0.2401091303	1.669925930	0.9699259302
-10	45	1.36850331009037	0.3306832551	1.660242977	0.9602429770
-5	45	1.34330321408419	0.4170566880	1.648046394	0.9480463944
0	45	1.32021710353810	0.5000000000	1.633534467	0.9335344666
5	45	1.29903242383150	0.5802097773	1.616801950	0.9168019497
10	45	1.27958885839000	0.6583158906	1.597854032	0.8978540319
15	45	1.26178061570399	0.7348890265	1.576617781	0.8766177809
20	45	1.24555346628923	0.8104461918	1.552943902	0.8529439018
25	45	1.23090838109689	0.8854535596	1.526607826	0.8266078260
30	45	1.21790804572476	0.9603259727	1.497307973	0.7973079727
35	45	1.20668153560588	1.035419809	1.464658733	0.7646587332
40	45	1.19743728670777	1.111020641	1.428186045	0.7281860447
45	45	1.19047526015986	1.187321212	1.387321212	0.6873212119


### +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	1.86195965999445	1.575002911	-0.3750029109	1.075002911
45	-40	1.79615946561894	1.592281217	-0.2165327663	1.092281217
45	-35	1.73578768370769	1.599946566	-0.07019087709	1.099946566
45	-30	1.68040440495780	1.600082912	0.06486683464	1.100082912
45	-25	1.62951516657792	1.594289396	0.1897244742	1.094289396
45	-20	1.58262600573513	1.583768170	0.3055406454	1.083768170
45	-15	1.53926582476954	1.569399684	0.4134552183	1.069399684
45	-10	1.49901055422335	1.551816497	0.5145363729	1.051816497
45	-5	1.46148110309983	1.531451333	0.6097597014	1.031451333
45	0	1.42635434725131	1.508584831	0.7000000000	1.008584831
45	5	1.39335396042752	1.483370087	0.7860337347	0.9833700869
45	10	1.36225792616659	1.455860754	0.8685440408	0.9558607544
45	15	1.33289449480721	1.426023906	0.9481273578	0.9260239059
45	20	1.30514160897318	1.393749330	1.025298153	0.8937493304
45	25	1.27893451147468	1.358859435	1.100492732	0.8588594345
45	30	1.25426595357052	1.321109811	1.174067970	0.8211098105
45	35	1.23119382327860	1.280191858	1.246296220	0.7801918579
45	40	1.20985531440402	1.235737701	1.317357233	0.7357377007
45	45	1.19047536748697	1.187321274	1.387321274	0.6873212739

50	-45	1.87150781184978	1.638102084	-0.4381020837	0.9549810386
50	-40	1.80240577792459	1.661471144	-0.2745900086	0.9745900086
50	-35	1.73832442299326	1.673478221	-0.1216782962	0.9846651423
50	-30	1.67905275969184	1.676315712	0.02085380704	0.9870460801
50	-25	1.62427941012945	1.671755603	0.1536013889	0.9832196942
50	-20	1.57364496980845	1.661191636	0.2773608082	0.9743554736
50	-15	1.52677733397551	1.645693078	0.3930124649	0.9613506393
50	-10	1.48332375593945	1.626065781	0.5014442208	0.9448813813
50	-5	1.44295459373569	1.602893186	0.6035093491	0.9254372660
50	0	1.40538393065099	1.576586551	0.7000000000	0.9033633775
50	5	1.37036325747601	1.547409465	0.7916364543	0.8788808961
50	10	1.33769370111767	1.515510671	0.8790619304	0.8521146291
50	15	1.30722275645892	1.480939414	0.9628419239	0.8231059007
50	20	1.27884648957131	1.443660022	1.043464159	0.7918247768
50	25	1.25251704976974	1.403566136	1.121339809	0.7581820117
50	30	1.22824134828860	1.360484930	1.196801206	0.7220325872
50	35	1.20608870433716	1.314185665	1.270098940	0.6831828915
50	40	1.18619791898123	1.264386505	1.341396435	0.6413964348
50	45	1.16877788765911	1.210757679	1.410757679	0.5963965066

55	-45	1.87963334058841	1.691099728	-0.4910997281	0.8340170084
55	-40	1.80786579499627	1.720423017	-0.3240565033	0.8545493962
55	-35	1.74066823507728	1.736857534	-0.1660569687	0.8660569687
55	-30	1.67803814088132	1.742608118	-0.01742013160	0.8700835715
55	-25	1.61984371108494	1.739547216	0.1219896406	0.8679403045
55	-20	1.56586697080479	1.729212752	0.2526031467	0.8607040351
55	-15	1.51584974762820	1.712839955	0.3750205134	0.8492396794
55	-10	1.46952318326897	1.691399281	0.4899241620	0.8342267573
55	-5	1.42662039221366	1.665629456	0.5980206368	0.8161825316
55	0	1.38690086293391	1.636082677	0.7000000000	0.7954936545
55	5	1.35014811050651	1.603147281	0.7965128813	0.7724320421
55	10	1.31618791500864	1.567084448	0.8881557789	0.7471805745
55	15	1.28488407504730	1.528043015	0.9754632956	0.7198434685
55	20	1.25614393807394	1.486078751	1.058903314	0.6904597749
55	25	1.22992495764866	1.441171081	1.138875283	0.6590150858
55	30	1.20623122762535	1.393229230	1.215706136	0.6254458400
55	35	1.18512259216264	1.342106369	1.289649227	0.5896492273
55	40	1.16671441237820	1.287605544	1.360879522	0.5514873391
55	45	1.15117649085272	1.229485893	1.429485893	0.5107915210

60	-45	1.88643257012424	1.734960007	-0.5349600066	0.7130044922
60	-40	1.81254343314220	1.769837000	-0.3655197583	0.7331407337
60	-35	1.74277255383039	1.790544756	-0.2036491668	0.7450963625
60	-30	1.67729746518905	1.799229030	-0.05011023013	0.7501102301
60	-25	1.61614859170367	1.797796891	0.09482737109	0.7492833843
60	-20	1.55924905109970	1.787884731	0.2312482928	0.7435605961
60	-15	1.50645959729901	1.770864415	0.3594729062	0.7337339124
60	-10	1.45760161807339	1.747854878	0.4799695169	0.7204493500
60	-5	1.41247869718100	1.719746346	0.5932860224	0.7042208810
60	0	1.37090123134842	1.687235292	0.7000000000	0.6854506157
60	5	1.33268835842504	1.650843378	0.8006857491	0.6644397340
60	10	1.29768876520523	1.610953251	0.8958910325	0.6414091586
60	15	1.26577799690283	1.567823005	0.9861223119	0.6165078994
60	20	1.23686700697222	1.521608531	1.071835096	0.5898259604
60	25	1.21090657433100	1.472380136	1.153428304	0.5614039332
60	30	1.18788512710338	1.420131863	1.231238379	0.5312383787
60	35	1.16783845695983	1.364798905	1.305538713	0.4992918808
60	40	1.15084543732913	1.306262675	1.376534713	0.4654959726
60	45	1.13702535914058	1.244357825	1.444357825	0.4297551907

65	-45	1.89200156092490	1.770560280	-0.5705602798	0.5924719886
65	-40	1.81644963543696	1.810387255	-0.3995454624	0.6110436122
65	-35	1.74459697107325	1.835011707	-0.2347852611	0.6225261829
65	-30	1.67676679371685	1.846474416	-0.07738736664	0.6278713318
65	-25	1.61313026474032	1.846668777	0.07203803625	0.6279619638
65	-20	1.55374175382590	1.837289015	0.2132666040	0.6235881088
65	-15	1.49857705694795	1.819812571	0.3463572874	0.6154387092
65	-10	1.44754745572489	1.795485682	0.4715709212	0.6040948943
65	-5	1.40052900121682	1.765338874	0.5892971930	0.5900372071
65	0	1.35738398338247	1.730207674	0.7000000000	0.5736552596
65	5	1.31796671161518	1.690746149	0.8041767892	0.5552540482
65	10	1.28214649540050	1.647459740	0.9023281114	0.5350692640
65	15	1.24980591866145	1.600717214	0.9949362885	0.5132728663
65	20	1.22085370633724	1.550775810	1.082451118	0.4899848073
65	25	1.19522691990106	1.497795906	1.165279872	0.4652798724
65	30	1.17289016790567	1.441852266	1.243778659	0.4391929244
65	35	1.15384643296849	1.382953784	1.318250895	0.4117281111
65	40	1.13813098924112	1.321048001	1.388941075	0.3828609708
65	45	1.12580927470695	1.256029264	1.456029264	0.3525422355

70	-45	1.89642697761913	1.798656276	-0.5986562758	0.4726722289
70	-40	1.81960446273802	1.842684992	-0.4266464813	0.4886973709
70	-35	1.74611687115520	1.870709750	-0.2597812999	0.4988975490
70	-30	1.67639837185396	1.884645939	-0.09942570547	0.5039699067
70	-25	1.61073733615659	1.886344507	0.05353693961	0.5045881349
70	-20	1.54930297753257	1.877526319	0.1986214228	0.5013785772
70	-15	1.49217458965699	1.859745116	0.3356573941	0.4949067486
70	-10	1.43934675077548	1.834350760	0.4647179594	0.4856639586
70	-5	1.39076389730146	1.802496272	0.5860463420	0.4740698731
70	0	1.34633844555656	1.765144302	0.7000000000	0.4604748681
70	5	1.30595742004701	1.723072208	0.8070049529	0.4451618780
70	10	1.26950766805130	1.676900924	0.9075193866	0.4283569051
70	15	1.23687513541924	1.627103314	1.002006423	0.4102320572
70	20	1.20796128944764	1.574030382	1.090915090	0.3909150898
70	25	1.18268493154570	1.517924351	1.174665920	0.3704941646
70	30	1.16098309927861	1.458931099	1.253639128	0.3490223768
70	35	1.14282347966136	1.397121672	1.328171357	0.3265255850
70	40	1.12819793492623	1.332496548	1.398547547	0.3030039638
70	45	1.11712277354057	1.264995709	1.464995709	0.2784356675

75	-45	1.89978706371744	1.819870585	-0.6198705854	0.3536582575
75	-40	1.82203057497685	1.867250988	-0.4472597995	0.3663537980
75	-35	1.74731301716735	1.898035026	-0.2789146641	0.3746023563
75	-30	1.67615043548217	1.914017307	-0.1163832730	0.3788847956
75	-25	1.60892279815415	1.916995226	0.03924427475	0.3796827264
75	-20	1.54589292940418	1.908695990	0.1872765904	0.3774589530
75	-15	1.48722519984709	1.890723806	0.3273566792	0.3726433208
75	-10	1.43298624392365	1.864508737	0.4594002943	0.3656190141
75	-5	1.38317955163917	1.831303538	0.5835260327	0.3567217079
75	0	1.33776019314346	1.792177120	0.7000000000	0.3462378158
75	5	1.29664350881736	1.748013021	0.8091869913	0.3344040811
75	10	1.25973026338586	1.699532067	0.9115098676	0.3214136486
75	15	1.22690719268187	1.647297021	1.007417310	0.3074173102
75	20	1.19806655357429	1.591738967	1.097360488	0.2925305746
75	25	1.17310865703124	1.533169129	1.181774677	0.2768368338
75	30	1.15194438493269	1.471791829	1.261064274	0.2603908358
75	35	1.13450878438642	1.407726894	1.335597214	0.2432246883
75	40	1.12075534862252	1.341014349	1.405694830	0.2253491156
75	45	1.11065916593116	1.271626669	1.471626669	0.2067567428

80	-45	1.90214065673218	1.834682345	-0.6346823448	0.2353405081
80	-40	1.82374566883317	1.884497203	-0.4617310920	0.2441242115
80	-35	1.74817249636115	1.917311056	-0.2924118853	0.2499101792
80	-30	1.67599243312542	1.934819575	-0.1283934678	0.2529974035
80	-25	1.60765068614769	1.938770409	0.02909033997	0.2536940421
80	-20	1.54347898457744	1.930886862	0.1791997736	0.2523039601
80	-15	1.48370500386188	1.912803821	0.3214403571	0.2491154321
80	-10	1.42845081187522	1.886008003	0.4556093936	0.2443906064
80	-5	1.37776561527015	1.851825923	0.5817305567	0.2383633835
80	0	1.33163741909318	1.811406855	0.7000000000	0.2312364111
80	5	1.29000287976120	1.765715529	0.8107357600	0.2231797976
80	10	1.25277307451576	1.715550086	0.9143342766	0.2143342766
80	15	1.21983424402438	1.661542541	1.011234386	0.2048112893
80	20	1.19107010138471	1.604185141	1.101890524	0.1946976320
80	25	1.16636475977992	1.543840628	1.186750879	0.1840572663
80	30	1.14560757469491	1.480756321	1.266239926	0.1729338009
80	35	1.12870752388681	1.415086844	1.340750706	0.1613545003
80	40	1.11558846660158	1.346899399	1.410632973	0.1493312140
80	45	1.10619464922042	1.276187851	1.476187851	0.1368628602

85	-45	1.90353608603511	1.843434977	-0.6434349774	0.1175353307
85	-40	1.82476924714116	1.894725502	-0.4703136539	0.1220226701
85	-35	1.74869153916370	1.928779778	-0.3004423709	0.1250020332
85	-30	1.67590646970755	1.947229467	-0.1355583224	0.1266161719
85	-25	1.60689831115694	1.951787787	0.02302023679	0.1270149732
85	-20	1.54204086164522	1.944172139	0.1743643281	0.1263486904
85	-15	1.48160070476726	1.926033415	0.3178954980	0.1247617577
85	-10	1.42573467805290	1.898891855	0.4533376228	0.1223871788
85	-5	1.37452082856550	1.864119155	0.5806550383	0.1193449617
85	0	1.32796793073882	1.822914612	0.7000000000	0.1157400313
85	5	1.28602584662361	1.776293858	0.8116612439	0.1116612439
85	10	1.24861187884592	1.725103811	0.9160188560	0.1071826951
85	15	1.21561150964094	1.670020119	1.013505946	0.1023634965
85	20	1.18690233258310	1.611573191	1.104579555	0.09725005287
85	25	1.16235762599701	1.550157682	1.189696569	0.09187689210
85	30	1.14185302064917	1.486047472	1.269294774	0.08626797554
85	35	1.12528080912175	1.419417992	1.343783409	0.08043865138
85	40	1.11254623902898	1.350352237	1.413530248	0.07439618074
85	45	1.10357452674250	1.278856062	1.478856062	0.06814107592

90	-45	1.90399611130938	1.846328562	-0.6463285617	0.000000000
90	-40	1.82510706288287	1.898113124	-0.4731562064	0.000000000
90	-35	1.74886257379026	1.932584353	-0.3031063627	0.000000000
90	-30	1.67587672256212	1.951351815	-0.1379383613	0.000000000
90	-25	1.60664677958045	1.956116487	0.02100173078	0.000000000
90	-20	1.54156067475304	1.948593191	0.1727551971	0.000000000
90	-15	1.48089810784094	1.930437728	0.3167153658	0.000000000
90	-10	1.42482775824888	1.903181423	0.4525812563	0.000000000
90	-5	1.37343753104306	1.868211187	0.5802970319	0.000000000
90	0	1.32674329405959	1.826743294	0.7000000000	0.000000000
90	5	1.28469938564825	1.779810717	0.8119689292	0.000000000
90	10	1.24722516196241	1.728277009	0.9165783765	0.000000000
90	15	1.21420578439799	1.672832726	1.014259582	0.000000000
90	20	1.18551666356341	1.614021261	1.105470579	0.000000000
90	25	1.16102725778570	1.552248045	1.190671322	0.000000000
90	30	1.14060843315953	1.487795879	1.270304217	0.000000000
90	35	1.12414674784957	1.420847107	1.344784086	0.000000000
90	40	1.11154111392858	1.351489894	1.414484856	0.000000000
90	45	1.10271032032521	1.279733945	1.479733945	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	1.19047539325202	1.187321289	1.387321289	0.6873212888
40	45	1.19743731710536	1.111020657	1.428186063	0.7281860631
35	45	1.20668156322228	1.035419821	1.464658751	0.7646587507
30	45	1.21790807272109	0.9603259829	1.497307990	0.7973079904
25	45	1.23090840141208	0.8854535659	1.526607840	0.8266078397
20	45	1.24555350663328	0.8104462018	1.552943929	0.8529439295
15	45	1.26178063818205	0.7348890306	1.576617796	0.8766177965
10	45	1.27958887348794	0.6583158924	1.597854043	0.8978540425
5	45	1.29903243255241	0.5802097778	1.616801956	0.9168019558
0	45	1.32021711380419	0.5000000000	1.633534474	0.9335344738
-5	45	1.34330322829518	0.4170566871	1.648046404	0.9480464045
-10	45	1.36850333425484	0.3306832521	1.660242994	0.9602429939
-15	45	1.39608594232491	0.2401091253	1.669925949	0.9699259486
-20	45	1.42638218213667	0.1444834136	1.676773793	0.9767737932
-25	45	1.45978482915577	0.04287478480	1.680308188	0.9803081875
-30	45	1.49675741856916	-0.06572112893	1.679857738	0.9798577382
-35	45	1.53782580015758	-0.1823526938	1.674500640	0.9745006395
-40	45	1.58357585540647	-0.3080569611	1.663004786	0.9630047864
-45	45	1.63462154470759	-0.4437491889	1.643749189	0.9437491889

45	50	1.16877793531092	1.210757708	1.410757708	0.5963965309
40	50	1.17337986043019	1.134465503	1.456126542	0.6344655029
35	50	1.18068613189665	1.058091549	1.497037333	0.6687937319
30	50	1.19041517227361	0.9815012081	1.533984556	0.6997961337
25	50	1.20236131857375	0.9044676984	1.567383778	0.7278214084
20	50	1.21639027229711	0.8266900803	1.597573619	0.7531536926
15	50	1.23242996749360	0.7478034154	1.624814936	0.7760118720
10	50	1.25046914933576	0.6673861659	1.649294120	0.7965523456
5	50	1.27055273890994	0.5849621057	1.671121312	0.8148675350
0	50	1.29277738923391	0.5000000000	1.690324935	0.8309812879
-5	50	1.31729513451959	0.4119122213	1.706847918	0.8448457166
-10	50	1.34430907031691	0.3200525449	1.720532731	0.8563286378
-15	50	1.37407591699673	0.2237159805	1.731105998	0.8652006627
-20	50	1.40690845909515	0.1221418010	1.738156869	0.8711170462
-25	50	1.44317039759211	0.01452545915	1.741103513	0.8735895734
-30	50	1.48327942898734	-0.09995945421	1.739160257	0.8719589885
-35	50	1.52769022962362	-0.2221148644	1.731286904	0.8653524609
-40	50	1.57688261421833	-0.3526459798	1.716143910	0.8526459798
-45	50	1.63132432178178	-0.4920416030	1.692041603	0.8324217432

45	55	1.15117652444124	1.229485914	1.429485914	0.5107915359
40	55	1.15358198991791	1.153440727	1.478740334	0.5452798519
35	55	1.15901204951097	1.076658114	1.523553137	0.5766581144
30	55	1.16722334951356	0.9990289008	1.564343411	0.6052197718
25	55	1.17803299944544	0.9203586264	1.601461983	0.6312104762
20	55	1.19131954792946	0.8403817993	1.635191308	0.6548280033
15	55	1.20701754644785	0.7587696724	1.665741565	0.6762195236
10	55	1.22511623277843	0.6751366172	1.693249113	0.6954805163
5	55	1.24565867982333	0.5890436445	1.717773513	0.7126526863
0	55	1.26873621273988	0.5000000000	1.739287862	0.7277171956
-5	55	1.29449324637323	0.4074655054	1.757674113	0.7405913870
-10	55	1.32312079337715	0.3108531308	1.772705201	0.7511162679
-15	55	1.35485828583266	0.2095350968	1.784029776	0.7590458211
-20	55	1.38999102459486	0.1028541235	1.791149328	0.7640309847
-25	55	1.42884321020528	-0.009855470525	1.793388585	0.7655989294
-30	55	1.47177252028596	-0.1292343478	1.789865860	0.7631322910
-35	55	1.51915222690085	-0.2558432711	1.779456061	0.7558432711
-40	55	1.57134704553639	-0.3900816451	1.760757998	0.7427507466
-45	55	1.62868199696417	-0.5320750552	1.732075055	0.7226667337

45	60	1.13702537525721	1.244357836	1.444357836	0.4297551968
40	60	1.13746744291940	1.168670341	1.496890281	0.4600848181
35	60	1.14116879349183	1.091710162	1.545049688	0.4878896648
30	60	1.14793385509324	1.013371627	1.589185741	0.5133716267
25	60	1.15761395537461	0.9334726919	1.629585188	0.5366962584
20	60	1.17011285016171	0.8517670226	1.666471951	0.5579928413
15	60	1.18538210981252	0.7679492538	1.700000229	0.5773504013
10	60	1.20342088721864	0.6816609394	1.730250383	0.5948153358
5	60	1.22427730147194	0.5924952007	1.757224982	0.6103891277
0	60	1.24804206192373	0.5000000000	1.780836131	0.6240210310
-5	60	1.27485362667648	0.4036837146	1.800900180	0.6356050154
-10	60	1.30488969463821	0.3030219600	1.817117977	0.6449683649
-15	60	1.33836882097479	0.1974689226	1.829061352	0.6518638754
-20	60	1.37554273583773	0.08647529377	1.836149793	0.6559563887
-25	60	1.41668945619217	-0.03048444119	1.837627555	0.6568095753
-30	60	1.46209913524144	-0.1538706112	1.832537120	0.6538706112
-35	60	1.51205974774575	-0.2840217177	1.819699053	0.6464585499
-40	60	1.56682312986105	-0.4210708952	1.797689548	0.6337513563
-45	60	1.62658093997738	-0.5648471831	1.764847183	0.6147898078

45	65	1.12580929378947	1.256029277	1.456029277	0.3525422414
40	65	1.12456326685139	1.180728171	1.511260243	0.3782968640
35	65	1.12674122908576	1.103727458	1.562212165	0.4020561356
30	65	1.13219746065228	1.024912591	1.609175277	0.4239553945
25	65	1.14082329832817	0.9441015424	1.652378831	0.4441015424
20	65	1.15255416415078	0.8610552404	1.691991120	0.4625730561
15	65	1.16736550081366	0.7754815312	1.728111071	0.4794160658
10	65	1.18527273965761	0.6870410251	1.760762365	0.4946416144
5	65	1.20633403967949	0.5953529447	1.789889145	0.5082236548
0	65	1.23064266993560	0.5000000000	1.815341035	0.5200920660
-5	65	1.25833272740028	0.4005368936	1.836868508	0.5301304917
-10	65	1.28956879382700	0.2965006187	1.854102341	0.5381667600
-15	65	1.32454709954720	0.1874258637	1.866542558	0.5439677282
-20	65	1.36348322004988	0.07286800301	1.873535517	0.5472285986
-25	65	1.40660634636470	-0.04756599811	1.874259072	0.5475659981
-30	65	1.45413828390527	-0.1741717068	1.867699649	0.5445072889
-35	65	1.50628360271993	-0.3070928324	1.852648020	0.5374885988
-40	65	1.56319042357579	-0.4462408996	1.827685992	0.5258486139
-45	65	1.62493196249263	-0.5912115780	1.791211578	0.5088403155

45	70	1.11712278014871	1.264995714	1.464995714	0.2784356691
40	70	1.11448627652675	1.190057684	1.522378724	0.2993213770
35	70	1.11538568127122	1.113089729	1.575582874	0.3186861038
30	70	1.11972046405494	1.033962176	1.624849618	0.3366177320
25	70	1.12742168861238	0.9524862365	1.670359866	0.3531821076
20	70	1.13845743680212	0.8684225604	1.712232666	0.3684225604
15	70	1.15282960303613	0.7814851188	1.750516765	0.3823568331
10	70	1.17057297140235	0.6913470797	1.785183214	0.3949743887
5	70	1.19175864414926	0.5976479597	1.816121287	0.4062349262
0	70	1.21648494347113	0.5000000000	1.843121925	0.4160623547
-5	70	1.24488347675617	0.3979992030	1.865874445	0.4243435949
-10	70	1.27710677861618	0.2912384289	1.883945703	0.4309209947
-15	70	1.31332918422410	0.1793258774	1.896772118	0.4355894283
-20	70	1.35373099452142	0.06191156295	1.903638089	0.4380884371
-25	70	1.39849417015866	-0.06128010501	1.903669070	0.4380997132
-30	70	1.44777686257173	-0.1904027462	1.895812634	0.4352402046
-35	70	1.50170763447585	-0.3254378211	1.878847379	0.4290653567
-40	70	1.56034545821038	-0.4661208004	1.851377935	0.4190672967
-45	70	1.62366553880099	-0.6118716759	1.811871676	0.4046881943

45	75	1.11065917035296	1.271626672	1.471626672	0.2067567436
40	75	1.10693860944026	1.196994982	1.530646273	0.2225709981
35	75	1.10682663738709	1.120088568	1.585578252	0.2372899774
30	75	1.11026061372771	1.040761840	1.636626982	0.2509684434
25	75	1.11720637966386	0.9588166148	1.683935406	0.2636446973
20	75	1.12766167379326	0.8740094332	1.727582472	0.2753398936
15	75	1.14165333596405	0.7860558646	1.767575020	0.2860558646
10	75	1.15923512619746	0.6946366418	1.803839248	0.2957728351
5	75	1.18049113176689	0.5994061005	1.836216927	0.3044484081
0	75	1.20552567529851	0.5000000000	1.864448384	0.3120130041
-5	75	1.23446924305955	0.3960485426	1.888170595	0.3183693514
-10	75	1.26746420920542	0.2871915958	1.906896434	0.3233869248
-15	75	1.30466550523809	0.1730993487	1.920009840	0.3269006513
-20	75	1.34622227489030	0.05350098202	1.926745970	0.3287055919
-25	75	1.39227497043357	-0.07178234959	1.926191206	0.3285569433
-30	75	1.44292738350248	-0.2027900093	1.917268003	0.3261659784
-35	75	1.49824380644382	-0.3393761268	1.898753342	0.3212049900
-40	75	1.55821199533706	-0.4811437886	1.869281635	0.3133080698
-45	75	1.62273074678238	-0.6273866538	1.827386654	0.3020823434

45	80	1.10619465197521	1.276187853	1.476187853	0.1368628605
40	80	1.10170014044443	1.201786071	1.536356071	0.1474721408
35	80	1.10085828351471	1.124941101	1.592508388	0.1573733093
30	80	1.10363474960363	1.045494001	1.644823324	0.1665978441
25	80	1.11002213728212	0.9632378048	1.693416678	0.1751661635
20	80	1.12004162372554	0.8779241162	1.738337976	0.1830870002
15	80	1.13374026882050	0.7892679543	1.779562703	0.1903560318
10	80	1.15118764579685	0.6969542420	1.816983012	0.1969542420
5	80	1.17247897473134	0.6006473337	1.850404289	0.2028473148
0	80	1.19772429323695	0.5000000000	1.879528170	0.2079826409
-5	80	1.22705365144136	0.3946678951	1.903951468	0.2122891273
-10	80	1.26060170873495	0.2843263391	1.923146112	0.2156736609
-15	80	1.29850819145672	0.1686923641	1.936456930	0.2180207173
-20	80	1.34089788939413	0.04755462737	1.943083445	0.2191891506
-25	80	1.38787894448412	-0.07919385027	1.942085220	0.2190131367
-30	80	1.43951374188850	-0.2115090480	1.932369821	0.2173000497
-35	80	1.49581770728119	-0.3491537729	1.912717268	0.2138347744
-40	80	1.55672732844672	-0.4916396623	1.881790130	0.2083814855
-45	80	1.62208704059263	-0.6381760477	1.838176048	0.2006911460

45	85	1.10357452760012	1.278856062	1.478856062	0.06814107597
40	85	1.09861625988089	1.204596272	1.539705139	0.07346468036
35	85	1.09733409540624	1.127794839	1.596583949	0.07844093140
30	85	1.09971108932807	1.048284030	1.649655797	0.08308411646
25	85	1.10575660515794	0.9658507881	1.699020239	0.08740294555
20	85	1.11550675490671	0.8802429346	1.744708877	0.09140018341
15	85	1.12902167699999	0.7911744469	1.786677830	0.09507199099
10	85	1.14638131565312	0.6983322317	1.824797980	0.09840707197
5	85	1.16768822007948	0.6013863908	1.858851750	0.1013863908
0	85	1.19305640160267	0.5000000000	1.888516462	0.1039817168
-5	85	1.22261593005398	0.3938444232	1.913363795	0.1061555768
-10	85	1.25649668843251	0.2826170151	1.932840170	0.1078595389
-15	85	1.29482873917667	0.1660639476	1.946266314	0.1090341742
-20	85	1.33772140572309	0.04401072803	1.952820228	0.1096075674
-25	85	1.38526234446166	-0.08360542632	1.951545876	0.1094960760
-30	85	1.43748801291722	-0.2166897999	1.941343147	0.1086034529
-35	85	1.49438346644414	-0.3549504041	1.920995716	0.1068232833
-40	85	1.55585416745037	-0.4978452775	1.889185694	0.1040402671
-45	85	1.62171201313698	-0.6445355082	1.844535508	0.1001338820

45	90	1.10271032082901	1.279733946	1.479733946	0.000000000
40	90	1.09759748967555	1.205522067	1.540808458	0.000000000
35	90	1.09616806833697	1.128736174	1.597928314	0.000000000
30	90	1.09841097208925	1.049205486	1.651251806	0.000000000
25	90	1.10434126697718	0.9667147866	1.700873090	0.000000000
20	90	1.11400018858415	0.8810105042	1.746817757	0.000000000
15	90	1.12745239431957	0.7918061521	1.789035386	0.000000000
10	90	1.14478144126917	0.6987892111	1.827389639	0.000000000
5	90	1.16609246245372	0.6016316547	1.861655129	0.000000000
0	90	1.19150089122853	0.5000000000	1.891500891	0.000000000
-5	90	1.22113683680900	0.3935709120	1.916490042	0.000000000
-10	90	1.25512856415153	0.2820492121	1.936060341	0.000000000
-15	90	1.29360282575092	0.1651909519	1.949524378	0.000000000
-20	90	1.33666364622774	0.04283410814	1.956052965	0.000000000
-25	90	1.38439167019678	-0.08506920123	1.954684951	0.000000000
-30	90	1.43681453234636	-0.2184072662	1.944317886	0.000000000
-35	90	1.49390700901528	-0.3568698585	1.923736980	0.000000000
-40	90	1.55556417826607	-0.4998973799	1.891631295	0.000000000
-45	90	1.62158710910930	-0.6466352411	1.846635241	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	1.62158710918913	-0.6466352412	1.846635241	1.404223178e-16
-90	40	1.69168234092977	-0.7959038568	1.787392448	1.587024510e-16
-90	35	1.76543892080011	-0.9461629010	1.712614165	1.771038768e-16
-90	30	1.84232276709348	-1.095498318	1.621161384	1.953921909e-16
-90	25	1.92170150237242	-1.241653036	1.512146149	2.132909816e-16
-90	20	2.00282714566407	-1.382041889	1.385007227	2.304836576e-16
-90	15	2.08485593756373	-1.513816194	1.239600423	2.466213556e-16
-90	10	2.16688088946636	-1.633961100	1.076274918	2.613348630e-16
-90	5	2.24793114293496	-1.739377086	0.8959201084	2.742445981e-16
-90	-2.84217e-14	2.32702528773007	-1.827025288	0.7000000000	2.849784070e-16
-90	-5	2.40316220747399	-1.894017450	0.4905506129	2.931825807e-16
-90	-10	2.47535296438932	-1.937746791	0.2701594687	2.985378804e-16
-90	-15	2.54265341975073	-1.956014605	0.04191286987	3.007750425e-16
-90	-20	2.60417704625428	-1.947125954	-0.1906810066	2.996864966e-16
-90	-25	2.65910915396901	-1.909971333	-0.4237880884	2.951363679e-16
-90	-30	2.70671666739306	-1.844085395	-0.6533583337	2.870676676e-16
-90	-35	2.74636345791541	-1.749689241	-0.8752493651	2.755074728e-16
-90	-40	2.77751995765944	-1.627703729	-1.085355414	2.605685562e-16
-90	-45	2.79977181446485	-1.479737636	-1.279737636	2.424479359e-16

-85	45	1.62171201294358	-0.6445355081	1.844535508	0.1001338820
-85	40	1.69166901758764	-0.7929930306	1.784949975	0.1131222322
-85	35	1.76522202041240	-0.9422861148	1.709899610	0.1261836846
-85	30	1.84183615621883	-1.090518091	1.618286048	0.1391523021
-85	25	1.92088337681749	-1.235464533	1.509260402	0.1518334726
-85	20	2.00162380783148	-1.374586730	1.382293771	0.1640050877
-85	15	2.08323053193165	-1.505099175	1.237264705	0.1754234470
-85	10	2.16481517423060	-1.624057415	1.074528631	0.1858309445
-85	5	2.24542958982840	-1.728437322	0.8949630030	0.1949630030
-85	-2.84217e-14	2.32411701436889	-1.815273047	0.7000000000	0.2025601446
-85	-5	2.39990250185818	-1.881741262	0.4916246402	0.2083753598
-85	-10	2.47181836900921	-1.925280550	0.2723576033	0.2121845540
-85	-15	2.53893735799173	-1.943714761	0.04520860328	0.2137973385
-85	-20	2.60038448482817	-1.935345857	-0.1863934023	0.2130651543
-85	-25	2.65535028342116	-1.899034889	-0.4186883411	0.2098883562
-85	-30	2.70310109523050	-1.834263653	-0.6476877482	0.2042216073
-85	-35	2.74299213378915	-1.741179535	-0.8692908052	0.1960778023
-85	-40	2.77447745338877	-1.620615779	-1.079407918	0.1855298403
-85	-45	2.79712208931928	-1.474090052	-1.274090052	0.1727105003

-80	45	1.62208703586224	-0.6381760444	1.838176044	0.2006911454
-80	40	1.69162528576791	-0.7841979646	1.777570038	0.2264387497
-80	35	1.76456472301402	-0.9306008681	1.701717512	0.2522535317
-80	30	1.84036959472611	-1.075543103	1.609640235	0.2778107584
-80	25	1.91842565638512	-1.216899131	1.500603213	0.3027356400
-80	20	1.99801823243782	-1.352268847	1.374170726	0.3266049732
-80	15	2.07837036745947	-1.479052163	1.230285429	0.3489602925
-80	10	2.15864745037330	-1.594508693	1.069318394	0.3693183938
-80	5	2.23796950677546	-1.695834445	0.8921106209	0.3871848578
-80	-2.84217e-14	2.31544854119566	-1.780271675	0.7000000000	0.4020734197
-80	-5	2.39018430030801	-1.845183435	0.4948230355	0.4135191143
-80	-10	2.46127392724712	-1.888143388	0.2789058869	0.4210941131
-80	-15	2.52784079359795	-1.907043936	0.05503452124	0.4244267896
-80	-20	2.58904515223104	-1.900182141	-0.1735948560	0.4232168700
-80	-25	2.64409409806372	-1.866337650	-0.4034413680	0.4172491732
-80	-30	2.69225345602392	-1.804842124	-0.6307012206	0.4064058527
-80	-35	2.73285455386967	-1.715630884	-0.8514014468	0.3906755041
-80	-40	2.76530494943128	-1.599282280	-1.061506987	0.3701601062
-80	-45	2.78911225361696	-1.457047114	-1.257047114	0.3450802087

-75	45	1.62273073688684	-0.6273866469	1.827386647	0.3020823416
-75	40	1.69156178923301	-0.7693472650	1.765108822	0.3401205746
-75	35	1.76347286129315	-0.9109646090	1.687968055	0.3780668275
-75	30	1.83793030647405	-1.050496428	1.595179530	0.4154542658
-75	25	1.91434438120975	-1.185983225	1.486186889	0.4517578436
-75	20	1.99204683844783	-1.315254045	1.360698440	0.4863958555
-75	15	2.07034049985767	-1.436002578	1.218750327	0.5187503273
-75	10	2.14847606717822	-1.545807751	1.060731104	0.5481725348
-75	5	2.22568677312777	-1.642212609	0.8874193181	0.5740041385
-75	-2.84217e-14	2.30118828159860	-1.722777192	0.7000000000	0.5955913536
-75	-5	2.37419213283590	-1.785148289	0.5000754302	0.6123036387
-75	-10	2.44390189381110	-1.827116189	0.2896666287	0.6235489035
-75	-15	2.50952433822218	-1.846689150	0.07120653737	0.6287934626
-75	-20	2.57028007967759	-1.842169482	-0.1524799752	0.6275824213
-75	-25	2.62540862227818	-1.812224979	-0.3782082150	0.6195588158
-75	-30	2.67417714851701	-1.755962646	-0.6024806408	0.6044833691
-75	-35	2.71588596104507	-1.672995716	-0.8215479810	0.5822524473
-75	-40	2.74987948144249	-1.563508422	-1.031489156	0.5529154153
-75	-45	2.77557532269327	-1.428321492	-1.228321492	0.5166921866

-70	45	1.62366549609847	-0.6118716466	1.811871647	0.4046881837
-70	40	1.69148554339983	-0.7481461214	1.747318950	0.4542880362
-70	35	1.76194874188457	-0.8831378415	1.668483543	0.5034210042
-70	30	1.83453118477261	-1.015258066	1.574834652	0.5515088332
-70	25	1.90867384778500	-1.142775296	1.466038701	0.5979213094
-70	20	1.98378227524129	-1.263833373	1.341982846	0.6419828459
-70	15	2.05925959814363	-1.376501719	1.202807120	0.6829907702
-70	10	2.13447668725867	-1.478773070	1.048911081	0.7202144979
-70	5	2.20880617496214	-1.568619852	0.8809807862	0.7529160521
-70	-2.84217e-14	2.28160670811020	-1.644008987	0.7000000000	0.7803554533
-70	-5	2.35222625841954	-1.702937492	0.5072679430	0.8018036749
-70	-10	2.42000083326197	-1.743469093	0.3044158684	0.8165559715
-70	-15	2.48425348570018	-1.763777690	0.09342259619	0.8239476961
-70	-20	2.54429169895722	-1.762197150	-0.1233724265	0.8233724265
-70	-25	2.59940837922825	-1.737283166	-0.3432622739	0.8143044782
-70	-30	2.64888352981414	-1.687884386	-0.5631756390	0.7963247924
-70	-35	2.69198928384347	-1.613223931	-0.7796953267	0.7691506094
-70	-40	2.72800749185858	-1.512995017	-0.9891033763	0.7326702679
-70	-45	2.75624339671885	-1.387450889	-1.187450889	0.6869759422

-65	45	1.62493190154190	-0.5912115371	1.791211537	0.5088402964
-65	40	1.69141794288820	-0.7201893584	1.723860441	0.5689836422
-65	35	1.76000109705901	-0.8467993516	1.643039058	0.6280228517
-65	30	1.83018231924467	-0.9696698903	1.548514307	0.6853183248
-65	25	1.90145446775520	-1.087366761	1.440201277	0.7402012768
-65	20	1.97332033030550	-1.198415837	1.318172810	0.7919843113
-65	15	2.04529011069960	-1.301308506	1.182659159	0.8399639510
-65	10	2.11688914652296	-1.394514455	1.034054014	0.8834265987
-65	5	2.18763811302519	-1.476469994	0.8729187183	0.9216430943
-65	-2.84217e-14	2.25706659519642	-1.545597031	0.7000000000	0.9538775611
-65	-5	2.32468358414077	-1.600286753	0.5162487189	0.9793797973
-65	-10	2.38997245803713	-1.638910947	0.3228522908	0.9973905545
-65	-15	2.45239238589616	-1.659847760	0.1212705369	1.007153551
-65	-20	2.51136387844396	-1.661504200	-0.08672319014	1.007925962
-65	-25	2.56625920325849	-1.642357142	-0.2989975416	0.9989975416
-65	-30	2.61639681205810	-1.601014514	-0.5130212952	0.9797191577
-65	-35	2.66104584611868	-1.536302606	-0.7258344347	0.9495434994
-65	-40	2.69943201632525	-1.447370982	-0.9340382726	0.9080740021
-65	-45	2.73074684372291	-1.333813748	-1.133813748	0.8551213944

-60	45	1.62658077954827	-0.5648470780	1.764847078	0.6147897471
-60	40	1.69138122822897	-0.6849528267	1.694293480	0.6841328334
-60	35	1.75764551921727	-0.8015583723	1.611360984	0.7514550766
-60	30	1.82491025344322	-0.9135694040	1.516124676	0.8161246759
-60	25	1.89274664088797	-1.019910185	1.408745759	0.8775205547
-60	20	1.96077141110993	-1.119528041	1.289460001	0.9350349505
-60	15	2.02863114043634	-1.211373563	1.158561164	0.9880619873
-60	10	2.09599792068779	-1.294386887	1.016398822	1.035989752
-60	5	2.16256202548717	-1.367480999	0.8633834167	1.078190657
-60	-2.84217e-14	2.22801835059616	-1.429520492	0.7000000000	1.114009175
-60	-5	2.29204821725920	-1.479298833	0.5268337904	1.142748714
-60	-10	2.35430192771145	-1.515521326	0.3446092101	1.163661780
-60	-15	2.41438759043813	-1.536801571	0.1542406640	1.175947935
-60	-20	2.47185787712064	-1.541667439	-0.04310617610	1.178757246
-60	-25	2.52619354274001	-1.528579638	-0.2459422204	1.171201000
-60	-30	2.57678868693023	-1.495971934	-0.4523749335	1.152374934
-60	-35	2.62294196050431	-1.442321151	-0.6600279119	1.121399640
-60	-40	2.66385164232692	-1.366249004	-0.8659688513	1.077479365
-60	-45	2.69862193742937	-1.266662757	-1.066662757	1.019983218

-55	45	1.62868173005480	-0.5320748861	1.732074886	0.7226666152
-55	40	1.69141433498972	-0.6418109636	1.658093158	0.7995046439
-55	35	1.75490196621869	-0.7469715216	1.573138859	0.8731388593
-55	30	1.81874877378985	-0.8468060924	1.477578860	0.9430437784
-55	25	1.88263110578189	-0.9406390751	1.371781033	1.008746340
-55	20	1.94628586678835	-1.027843330	1.256089495	1.069807417
-55	15	2.00950941237670	-1.107819845	1.130814029	1.125807576
-55	10	2.07213101001486	-1.179956752	0.9962217019	1.176318382
-55	5	2.13399560718341	-1.243594969	0.8525447935	1.220878341
-55	-2.84217e-14	2.19496562647141	-1.298010580	0.7000000000	1.258980562
-55	-5	2.25488671877508	-1.342369836	0.5388135253	1.290041248
-55	-10	2.31357133897643	-1.375701765	0.3692631710	1.313380515
-55	-15	2.37078730442069	-1.396880329	0.1917324476	1.328209906
-55	-20	2.42623837955838	-1.404608253	0.006779287957	1.333621056
-55	-25	2.47954116684010	-1.397410429	-0.1847770135	1.328581085
-55	-30	2.53020087574934	-1.373645224	-0.3817495747	1.311940510
-55	-35	2.57759331789976	-1.331547017	-0.5824630280	1.282463028
-55	-40	2.62094518780772	-1.269302700	-0.7846212434	1.238879088
-55	-45	2.65932040013926	-1.185177496	-0.9851774957	1.179973986

-50	45	1.63132388120579	-0.4920413351	1.692041335	0.8324215184
-50	40	1.69156299810559	-0.5900440038	1.614655522	0.9146555216
-50	35	1.75180480809433	-0.6825783279	1.528050260	0.9923010388
-50	30	1.81174970878980	-0.7692809302	1.432819687	1.065053160
-50	25	1.87119926069553	-0.8498836494	1.329461083	1.132686872
-50	20	1.93003551208631	-0.9241719937	1.218356214	1.195022195
-50	15	1.98819053672060	-0.9919373541	1.099763409	1.251884084
-50	10	2.04564420772781	-1.052951561	0.9738272599	1.303081082
-50	5	2.10239421176663	-1.106922533	0.8405875048	1.348368105
-50	-2.84217e-14	2.15844682826419	-1.153466199	0.7000000000	1.387422877
-50	-5	2.21379532222975	-1.192069721	0.5519630815	1.419815079
-50	-10	2.26840447478917	-1.222060100	0.3963543419	1.444979995
-50	-15	2.32220060780247	-1.242578373	0.2330775322	1.462196870
-50	-20	2.37504536208001	-1.252544483	0.06212597403	1.470559429
-50	-25	2.42670966131415	-1.250629002	-0.1163317101	1.468952150
-50	-30	2.47684858727327	-1.235237855	-0.3018400428	1.456037444
-50	-35	2.52496978091873	-1.204513270	-0.4935130405	1.430256456
-50	-40	2.57039614335168	-1.156364502	-0.6898548430	1.389854843
-50	-45	2.61223469705294	-1.088553215	-0.8885532152	1.332954417

-45	45	1.63462115018513	-0.4437489611	1.643748961	0.9437489611
-45	40	1.69189384734877	-0.5288751673	1.563328773	1.028875167
-45	35	1.74839973656387	-0.6079386633	1.475787004	1.107938663
-45	30	1.80397950034354	-0.6809818018	1.381840161	1.180981802
-45	25	1.85857514754055	-0.7481130081	1.282004654	1.248113008
-45	20	1.91220887213734	-0.8094635764	1.176605765	1.309463576
-45	15	1.96495580083395	-0.8651463433	1.065789860	1.365146343
-45	10	2.01692468617295	-0.9152232959	0.9495420508	1.415223296
-45	5	2.06823692955749	-0.9596738423	0.8277049136	1.459673842
-45	-2.84217e-14	2.11902182299518	-0.9983747005	0.7000000000	1.498374701
-45	-5	2.16940009053720	-1.031070508	0.5660486875	1.531070508
-45	-10	2.21946947982409	-1.057343680	0.4253982910	1.557343680
-45	-15	2.26929726674046	-1.076586539	0.2775549100	1.576586539
-45	-20	2.31889601200854	-1.087959302	0.1220300810	1.587959302
-45	-25	2.36820239523795	-1.090349585	-0.04159219080	1.590349585
-45	-30	2.41705071784500	-1.082331125	-0.2135593008	1.582331125
-45	-35	2.46513461985698	-1.062124438	-0.3938113070	1.562124438
-45	-40	2.51195526270333	-1.027571245	-0.5817844684	1.527571245
-45	-45	2.55676102504829	-0.9761466661	-0.7761466661	1.476146666


### -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	2.79977180217241	-1.479737627	-1.279737627	2.424479348e-16
-40	-90	2.81281810881004	-1.308044629	-1.454743682	2.638799953e-16
-35	-90	2.81648574818335	-1.115469858	-1.607130058	2.825419441e-16
-30	-90	2.81072543282308	-0.9053627164	-1.734159628	2.980985797e-16
-25	-90	2.79563079386786	-0.6814846266	-1.833701958	3.102889993e-16
-20	-90	2.77139973420715	-0.4478745343	-1.904263879	3.189303424e-16
-15	-90	2.73834937878999	-0.2087369714	-1.945042386	3.239242692e-16
-10	-90	2.69691766941083	0.03168516139	-1.955945430	3.252595070e-16
-5	-90	2.64765037771786	0.2692420648	-1.937575269	3.230098110e-16
-2.84217e-14	-90	2.59120129640000	0.5000000000	-1.891201296	3.173306374e-16
5	-90	2.52832294179988	0.7203578639	-1.818701910	3.084520232e-16
10	-90	2.45985112888586	0.9271486659	-1.722480463	2.966682945e-16
15	-90	2.38669052127471	1.117720962	-1.605366014	2.823259110e-16
20	-90	2.30980592861969	1.290000155	-1.470507587	2.658105168e-16
25	-90	2.23018593971664	1.442517305	-1.321234884	2.475298831e-16
30	-90	2.14882525880211	1.574412629	-1.160937262	2.278990862e-16
35	-90	2.06671433414766	1.685418643	-0.9929532718	2.073269805e-16
40	-90	1.98480463630997	1.775807828	-0.8204485623	1.862012465e-16
45	-90	1.90399610538476	1.846328557	-0.6463285575	1.648776959e-16

-45	-85	2.79712207068566	-1.474090039	-1.274090039	0.1727104992
-40	-85	2.80967008489141	-1.301978671	-1.447514555	0.1878831783
-35	-85	2.81287302998279	-1.109270303	-1.598276175	0.2010731110
-30	-85	2.80671107446701	-0.8993446765	-1.723736077	0.2120494301
-25	-85	2.79129885450866	-0.6759629246	-1.821860630	0.2206342161
-20	-85	2.76685419355002	-0.4431379538	-1.891250232	0.2267050196
-15	-85	2.73370580055578	-0.2050221360	-1.931178432	0.2301982845
-10	-85	2.69229599600227	0.03421338444	-1.941607165	0.2311106804
-5	-85	2.64316939334342	0.2705026046	-1.923167233	0.2294973954
-2.84217e-14	-85	2.58697152580328	0.5000000000	-1.877127318	0.2254694248
5	-85	2.52443956274676	0.7191884886	-1.805335889	0.2191884886
10	-85	2.45638910541001	0.9249730229	-1.710141778	0.2108600831
15	-85	2.38369994613317	1.114755702	-1.594299513	0.2007251981
20	-85	2.30731128631383	1.286493502	-1.460873138	0.1890519029
25	-85	2.22818462363390	1.438725175	-1.313102635	0.1761236591
30	-85	2.14728994883077	1.570576443	-1.154292793	0.1622295982
35	-85	2.06559992304119	1.681748546	-0.9877118308	0.1476556525
40	-85	1.98405171642877	1.772469282	-0.8164698384	0.1326739194
45	-85	1.90353607647978	1.843434971	-0.6434349706	0.1175353301

-45	-80	2.78911222202595	-1.457047092	-1.257047092	0.3450802048
-40	-80	2.80017918649555	-1.283721974	-1.425757070	0.3748283260
-35	-80	2.80200904004964	-1.090659434	-1.571697101	0.4005614908
-30	-80	2.79466642907553	-0.8813209229	-1.692518020	0.4218654787
-25	-80	2.77832614320260	-0.6594594922	-1.786468905	0.4384315547
-20	-80	2.75326285843309	-0.4290051463	-1.852420662	0.4500606288
-15	-80	2.71983844004213	-0.1939526833	-1.889866672	0.4566633707
-10	-80	2.67850725624652	0.04173989943	-1.898922177	0.4582601006
-5	-80	2.62980889464482	0.2742533050	-1.880296531	0.4549758966
-2.84217e-14	-80	2.57436320291489	0.5000000000	-1.835252841	0.4470334788
5	-80	2.51286258873166	0.7157078507	-1.765552015	0.4347433426
10	-80	2.44606188227461	0.9184915167	-1.673383330	0.4184915167
15	-80	2.37477038804316	1.105910358	-1.561288241	0.3987261280
20	-80	2.29984890829805	1.276014344	-1.432081888	0.3759435619
25	-80	2.22218433889525	1.427368708	-1.288748612	0.3506700381
30	-80	2.14267520988172	1.559060955	-1.134347383	0.3234449356
35	-80	2.06224092980191	1.670703928	-0.9719384820	0.2948078645
40	-80	1.98177527095891	1.762396391	-0.8044654337	0.2652778475
45	-80	1.90214062517570	1.834682323	-0.6346823227	0.2353405042

-45	-75	2.77557526129963	-1.428321450	-1.228321450	0.5166921752
-40	-75	2.78421524943660	-1.253109016	-1.389273968	0.5598192726
-35	-75	2.78382604945323	-1.059610737	-1.527354965	0.5968179642
-30	-75	2.77459493956261	-0.8513899768	-1.640676101	0.6271822709
-25	-75	2.75679267708874	-0.6321652890	-1.727936297	0.6505635702
-20	-75	2.73077389757608	-0.4057106589	-1.788419584	0.6667700179
-15	-75	2.69695074126436	-0.1757555483	-1.821954040	0.6757555483
-10	-75	2.65579330503097	0.05408986623	-1.828882035	0.6776118990
-5	-75	2.60782728544838	0.2804016192	-1.810020978	0.6725580941
-2.84217e-14	-75	2.55362850559385	0.5000000000	-1.766615724	0.6609276914
5	-75	2.49381614782095	0.7099977982	-1.700285817	0.6431546464
10	-75	2.42904885837420	0.9078395330	-1.612972929	0.6197592284
15	-75	2.36002837880861	1.091335335	-1.506893516	0.5913353354
20	-75	2.28749195869420	1.258688169	-1.384478614	0.5585343611
25	-75	2.21221300737225	1.408516190	-1.248319256	0.5220505713
30	-75	2.13497834965782	1.539859297	-1.101089135	0.4826003791
35	-75	2.05661716571690	1.652199224	-0.9455110248	0.4409133502
40	-75	1.97794871185018	1.745435216	-0.7842518929	0.3977040961
45	-75	1.89978697420702	1.819870523	-0.6198705232	0.3536582408

-45	-70	2.75624320911725	-1.387450761	-1.187450761	0.6869758955
-40	-70	2.76157510928239	-1.209887475	-1.337764541	0.7416856373
-35	-70	2.75822087033574	-1.016100586	-1.465216031	0.7880741859
-30	-70	2.74650877331681	-0.8097302828	-1.568519394	0.8256735353
-25	-70	2.72683425237749	-0.5944041442	-1.646957261	0.8542225842
-20	-70	2.69963669721099	-0.3736444878	-1.700318503	0.8736444878
-15	-70	2.66538220915439	-0.1508034023	-1.728831363	0.8840223202
-10	-70	2.62455353721312	0.07097877097	-1.733100296	0.8855760849
-5	-70	2.57764832421126	0.2887977562	-1.714052693	0.8786433242
-2.84217e-14	-70	2.52517685467952	0.5000000000	-1.672890057	0.8636613498
5	-70	2.46766196372943	0.7021903992	-1.611046838	0.8411522590
10	-70	2.40564393615634	0.8932372891	-1.530159489	0.8117116715
15	-70	2.33968416070603	1.071278073	-1.432038793	0.7759986591
20	-70	2.27037216072899	1.234727797	-1.318648032	0.7347277971
25	-70	2.19833091778593	1.382291421	-1.192080058	0.6886608219
30	-70	2.12420850273558	1.512973354	-1.054521315	0.6385935342
35	-70	2.04870259547609	1.626102423	-0.9082409314	0.5853518286
40	-70	1.97252643462561	1.721331346	-0.7555260187	0.5297681460
45	-70	1.89642687924829	1.798656208	-0.5986562085	0.4726722044

-45	-65	2.73074664091869	-1.333813612	-1.133813612	0.8551213309
-40	-65	2.73199999660521	-1.153752541	-1.270865532	0.9190296906
-35	-65	2.72506966945822	-0.9601395077	-1.385295327	0.9723891807
-30	-65	2.71044329253910	-0.7566233906	-1.476535559	1.014935199
-25	-65	2.68864549778279	-0.5466402767	-1.544527317	1.046640277
-20	-65	2.66019667023771	-0.3333473412	-1.589603002	1.067659414
-15	-65	2.62559739240664	-0.1196033628	-1.612391231	1.078285740
-10	-65	2.58532558494992	0.09202474545	-1.613742644	1.078915914
-5	-65	2.53983293467773	0.2992425470	-1.594668188	1.070021349
-2.84217e-14	-65	2.48954784509091	0.5000000000	-1.556296598	1.052128383
5	-65	2.43488285763072	0.6924618246	-1.499848722	1.025806306
10	-65	2.37624125747534	0.8749808680	-1.426622179	0.9916602082
15	-65	2.31402995105657	1.046077911	-1.337990509	0.9503305816
20	-65	2.24867866743826	1.204433025	-1.235413831	0.9024982910
25	-65	2.18063188352067	1.348879914	-1.120428849	0.8488799136
30	-65	2.11037904565066	1.478419906	-0.9946729886	0.7902389926
35	-65	2.03845330529889	1.592238572	-0.8598783402	0.7273832158
40	-65	1.96544384851488	1.689735638	-0.7178717204	0.6611644415
45	-65	1.89200122578922	1.770560055	-0.5705600547	0.5924718837

-45	-60	2.69862200169340	-1.266662799	-1.066662799	1.019983243
-40	-60	2.69518429014705	-1.084388027	-1.188200123	1.090152849
-35	-60	2.68425027342097	-0.8918170319	-1.287720720	1.147611093
-30	-60	2.66648419444235	-0.6924879839	-1.365449776	1.192487984
-25	-60	2.64250839642118	-0.4894967340	-1.421982594	1.225127222
-20	-60	2.61289840619873	-0.2855067078	-1.458161942	1.246015378
-15	-60	2.57816628125175	-0.08278062863	-1.474966916	1.255717734
-10	-60	2.53875748087228	0.1167649459	-1.473433995	1.254832702
-5	-60	2.49505644512730	0.3114963446	-1.454606641	1.243962724
-2.84217e-14	-60	2.44739464910003	0.5000000000	-1.419505939	1.223697325
5	-60	2.39606178866825	0.6810245242	-1.369119780	1.194606862
10	-60	2.34132319531035	0.8534316011	-1.304410214	1.157246777
15	-60	2.28343553766392	1.016158328	-1.226329106	1.112166628
20	-60	2.22265141895635	1.168188091	-1.135831693	1.059917922
25	-60	2.15923977671848	1.308535068	-1.033909050	1.001072857
30	-60	2.09351005729061	1.436246160	-0.9216259174	0.9362461599
35	-60	2.02582963847462	1.550417773	-0.8001520488	0.8661131892
40	-60	1.95663151698651	1.650223218	-0.6707826527	0.7914217335
45	-60	1.88643227752573	1.734959815	-0.5349598150	0.7130043816

-45	-55	2.65932008767895	-1.185177298	-0.9851772977	1.179973847
-40	-55	2.65078724744262	-1.001525128	-1.089447966	1.252984955
-35	-55	2.63567743464989	-0.8113623628	-1.172819545	1.311362363
-30	-55	2.61478109367490	-0.6179105830	-1.236277928	1.355796401
-25	-55	2.58879286755956	-0.4237614009	-1.281012717	1.387120038
-20	-55	2.55829749683725	-0.2309524189	-1.308275266	1.406209480
-15	-55	2.52377395738505	-0.04106600359	-1.319285816	1.413919150
-10	-55	2.48560545493792	0.1446700163	-1.315176477	1.411041760
-5	-55	2.44408974835257	0.3252886909	-1.296959400	1.398286026
-2.84217e-14	-55	2.39945248786099	0.5000000000	-1.265516411	1.376269407
5	-55	2.35186376740126	0.6681187026	-1.221605564	1.345522701
10	-55	2.30145381841971	0.8290045676	-1.165877623	1.306501577
15	-55	2.24832902598179	0.9820140081	-1.098900768	1.259603878
20	-55	2.19258086742842	1.126460484	-1.021186035	1.205187436
25	-55	2.13430971978419	1.261587751	-0.9332302017	1.143600099
30	-55	2.07365524257121	1.386560312	-0.8355675036	1.075215941
35	-55	2.01079970465407	1.500458940	-0.7288034406	1.000458940
40	-55	1.94600567075143	1.602305142	-0.6136761136	0.9198459175
45	-55	1.87963275708242	1.691099358	-0.4910993584	0.8340167495

-45	-50	2.61223429043387	-1.088552968	-0.8885529679	1.332954209
-40	-50	2.59848264104539	-0.9050416674	-0.9744634549	1.405041667
-35	-50	2.57931216863270	-0.7191998225	-1.041197796	1.461038429
-30	-50	2.55558160371873	-0.5336861108	-1.090396863	1.502321347
-25	-50	2.52798203004630	-0.3503991749	-1.123686916	1.530255018
-20	-50	2.49705140692940	-0.1706416052	-1.142572667	1.546102045
-15	-50	2.46319493453991	0.004727949204	-1.148380457	1.550975360
-10	-50	2.42670553952950	0.1751643683	-1.142234413	1.545818216
-5	-50	2.38777897126863	0.3403287615	-1.125050608	1.531399292
-2.84217e-14	-50	2.34653059477544	0.5000000000	-1.097546723	1.508320792
5	-50	2.30301541080693	0.6540030830	-1.060263293	1.477036280
10	-50	2.25724401967988	0.8021517342	-1.013587637	1.437870754
15	-50	2.20918995648226	0.9441995333	-0.9577752270	1.391038582
20	-50	2.15880598641425	1.079797880	-0.8929815832	1.336670259
25	-50	2.10605103986459	1.208463923	-0.8193057860	1.274848925
30	-50	2.05089387885529	1.329549138	-0.7368212549	1.205636185
35	-50	1.99334545693353	1.442222681	-0.6456334441	1.129120527
40	-50	1.93349010712860	1.545469429	-0.5459419484	1.045469429
45	-50	1.87150695831608	1.638101565	-0.4381015646	0.9549806031

-45	-45	2.55676096271470	-0.9761466301	-0.7761466301	1.476146630
-40	-45	2.53801766508832	-0.7950834245	-0.8434203238	1.543420324
-35	-45	2.51523865874036	-0.6160431007	-0.8938747297	1.593874730
-30	-45	2.48924985950605	-0.4408480113	-0.9295965578	1.629596558
-25	-45	2.46066153642416	-0.2705453652	-0.9524398683	1.652439868
-20	-45	2.42990718757398	-0.1056387407	-0.9639787643	1.663978764
-15	-45	2.39727728580590	0.05373056078	-0.9655002211	1.665500221
-10	-45	2.36294879499599	0.2076464519	-0.9580193622	1.658019362
-5	-45	2.32700832702716	0.3563170432	-0.9423037116	1.642303712
-2.84217e-14	-45	2.28946533136755	0.5000000000	-0.9188964611	1.618896461
5	-45	2.25027309221063	0.6389448795	-0.8881472397	1.588147240
10	-45	2.20934300719997	0.7733488210	-0.8502381987	1.550238199
15	-45	2.16654523983274	0.9033171027	-0.8051999188	1.505199919
20	-45	2.12172409419190	1.028826086	-0.7529377313	1.452937731
25	-45	2.07471395352999	1.149687573	-0.6932594961	1.393259496
30	-45	2.02534831524180	1.265509709	-0.6259017090	1.325901709
35	-45	1.97348541101955	1.375660355	-0.5505725908	1.250572591
40	-45	1.91902479381106	1.479227700	-0.4669981298	1.166998130
45	-45	1.86195905468408	1.575002561	-0.3750025614	1.075002561