path: root/test/Kerr-definition-mean-curvature-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	2.59899616911327	-1.000531138	-0.8005311379	1.500531138
-40	-45	2.57857975560715	-0.8157811886	-0.8680869586	1.568086959
-35	-45	2.55453854435097	-0.6334809554	-0.9187785671	1.618778567
-30	-45	2.52767503682206	-0.4553713632	-0.9547517412	1.654751741
-25	-45	2.49857104814825	-0.2824165625	-0.9778977331	1.677897733
-20	-45	2.46762959529195	-0.1150408082	-0.9898107326	1.689810733
-15	-45	2.43511147227242	0.04668747015	-0.9917853931	1.691785393
-10	-45	2.40116612901667	0.2029180493	-0.9848354658	1.684835466
-5	-45	2.36585576020782	0.3539183779	-0.9697205811	1.669720581
0	-45	2.32916897997611	0.5000000000	-0.9469711803	1.646971180
5	-45	2.29104170508980	0.6414621695	-0.9169199963	1.616919996
10	-45	2.25136990936440	0.7785485587	-0.8797273767	1.579727377
15	-45	2.21001169672582	0.9114086787	-0.8353980915	1.535398092
20	-45	2.16679880461912	1.040060668	-0.7838044909	1.483804491
25	-45	2.12154881266163	1.164353703	-0.7247111148	1.424711115
30	-45	2.07407575329829	1.283926949	-0.6578013052	1.357801305
35	-45	2.02421416076348	1.398169341	-0.5827187540	1.282718754
40	-45	1.97183007644277	1.506172842	-0.4991100996	1.199110100
45	-45	1.91686985498929	1.606705327	-0.4067053268	1.106705327

-45	-40	2.55303296823449	-1.052551436	-0.6027453373	1.552551436
-40	-40	2.53137341606557	-0.8687546221	-0.6687546221	1.631218238
-35	-40	2.50591368769414	-0.6845055284	-0.7194622277	1.691649209
-30	-40	2.47742084773013	-0.5020715117	-0.7563738526	1.735638771
-25	-40	2.44648317349529	-0.3229834102	-0.7809215845	1.764893619
-20	-40	2.41353453674494	-0.1482111948	-0.7943908134	1.780945621
-15	-40	2.37888111195435	0.02168084207	-0.7978863171	1.785111400
-10	-40	2.34272591601892	0.1864057709	-0.7923229610	1.778481250
-5	-40	2.30518785941558	0.3458516450	-0.7784295773	1.761923760
0	-40	2.26631755696368	0.5000000000	-0.7567608452	1.736099971
5	-40	2.22611837979593	0.6488609637	-0.7277184577	1.701488601
10	-40	2.18456000622583	0.7924223471	-0.6915708341	1.658409541
15	-40	2.14158438067195	0.9306061503	-0.6484700536	1.607044031
20	-40	2.09711953062725	1.063230538	-0.5984757887	1.547463186
25	-40	2.05109311794132	1.189976382	-0.5415814272	1.479659126
30	-40	2.00344137755071	1.310355468	-0.4777408107	1.403576842
35	-40	1.95413775472478	1.423689824	-0.4069115206	1.319165781
40	-40	1.90320300858853	1.529092704	-0.3290927045	1.226424928
45	-40	1.85073446533925	1.625469388	-0.2443809482	1.125469388

-45	-35	2.50547396617934	-1.087686968	-0.4117103835	1.587686968
-40	-35	2.48199214265988	-0.9059119886	-0.4731981947	1.675500663
-35	-35	2.45469422757241	-0.7213154690	-0.5213154690	1.744219253
-30	-35	2.42430243499206	-0.5364742788	-0.5570308562	1.795226112
-25	-35	2.39139822908289	-0.3533248859	-0.5813525731	1.829961123
-20	-35	2.35643430359519	-0.1732764099	-0.5952521199	1.849811733
-15	-35	2.31975387777947	0.002673384720	-0.5996189382	1.856048196
-10	-35	2.28160794702839	0.1738325010	-0.5952353667	1.849787807
-5	-35	2.24216908910572	0.3397226219	-0.5827653758	1.831978815
0	-35	2.20154990592499	0.5000000000	-0.5627571495	1.803404106
5	-35	2.15982180529288	0.6543909323	-0.5356537440	1.764696432
10	-35	2.11702738682322	0.8026398681	-0.5018053966	1.716355982
15	-35	2.07318843411290	0.9444660258	-0.4614831114	1.658769790
20	-35	2.02831850311712	1.079527720	-0.4148979783	1.592239325
25	-35	1.98244101387408	1.207396297	-0.3622262170	1.517016254
30	-35	1.93558995451769	1.327532561	-0.3036273786	1.433328440
35	-35	1.88783705620636	1.439279758	-0.2392797579	1.341430514
40	-35	1.83930201737792	1.541863394	-0.1694087984	1.241644442
45	-35	1.79016314594929	1.634403604	-0.09431795515	1.134403604

-45	-30	2.45702964626825	-1.108503477	-0.2286699154	1.608503477
-40	-30	2.43122532212346	-0.9292174026	-0.2833862648	1.703274974
-35	-30	2.40171412818442	-0.7453185392	-0.3268169858	1.778499190
-30	-30	2.36917681901370	-0.5595280836	-0.3595280836	1.835156473
-25	-30	2.33418369119390	-0.3740434438	-0.3821808493	1.874392214
-20	-30	2.29720254454515	-0.1906001410	-0.3954691890	1.897408293
-15	-30	2.25860844351223	-0.01054629723	-0.4000743815	1.905384721
-10	-30	2.21869448625691	0.1650796668	-0.3966350343	1.899427597
-5	-30	2.17768435149842	0.3354740786	-0.3857302100	1.880539887
0	-30	2.13574850866403	0.5000000000	-0.3678742543	1.849612465
5	-30	2.09301999687108	0.6581294568	-0.3435190202	1.807427962
10	-30	2.04960730832146	0.8093959835	-0.3130602455	1.754671816
15	-30	2.00560026959657	0.9533551596	-0.2768446065	1.691944489
20	-30	1.96108093440309	1.089553051	-0.2351825531	1.619783696
25	-30	1.91614243637176	1.217506399	-0.1883673796	1.538697437
30	-30	1.87088693060849	1.336686071	-0.1366860710	1.449182785
35	-30	1.82544232806935	1.446514469	-0.08044058912	1.351762753
40	-30	1.77997402177717	1.546373540	-0.01996700132	1.247019426
45	-30	1.73468740929989	1.635619480	0.04434978751	1.135619480

-45	-25	2.40815388522301	-1.117178726	-0.05410282462	1.617178726
-40	-25	2.37963114131580	-0.9404542645	-0.1004947563	1.716666545
-35	-25	2.34760866961025	-0.7578893690	-0.1376994161	1.796452195
-30	-25	2.31273552664653	-0.5722369906	-0.1660121017	1.857168945
-25	-25	2.27557450240965	-0.3858393302	-0.1858393302	1.899688574
-20	-25	2.23660713263111	-0.2006514323	-0.1976534283	1.925023989
-15	-25	2.19623656816642	-0.01828036057	-0.2019549528	1.934248638
-10	-25	2.15479317306592	0.1599645714	-0.1992448220	1.928436744
-5	-25	2.11254650898920	0.3330167899	-0.1900073051	1.908626825
0	-25	2.06971749952848	0.5000000000	-0.1747004119	1.875801087
5	-25	2.02649126991318	0.6601810971	-0.1537525807	1.830878318
10	-25	1.98302800621068	0.8129301626	-0.1275632617	1.774715142
15	-25	1.93946860257291	0.9576867999	-0.09650495634	1.708110391
20	-25	1.89594169219079	1.093932767	-0.06092870088	1.631816865
25	-25	1.85258197139603	1.221176112	-0.02117611218	1.546567163
30	-25	1.80952718693460	1.338938116	0.02241606346	1.453083441
35	-25	1.76692657178828	1.446749848	0.06950592465	1.352098908
40	-25	1.72495016969430	1.544158393	0.1197363021	1.244379516
45	-25	1.68378890426333	1.630736541	0.1727288914	1.130736541

-45	-20	2.35911051921668	-1.115497837	0.1120068737	1.615497837
-40	-20	2.32758486364013	-0.9411732605	0.07487260182	1.717523411
-35	-20	2.29284682729596	-0.7603002380	0.04489169588	1.799895273
-30	-20	2.25552535177191	-0.5755945459	0.02192913081	1.862984402
-25	-20	2.21618130409251	-0.3894556028	0.005747271257	1.907443696
-20	-20	2.17530971950244	-0.2039641103	-0.003964110288	1.934125497
-15	-20	2.13333795307624	-0.02089474946	-0.007560199261	1.944005670
-10	-20	2.09062840224664	0.1582565553	-0.005419222423	1.938123385
-5	-20	2.04748780507629	0.3322369989	0.002072561882	1.917539877
0	-20	2.00417669011521	0.5000000000	0.01453120120	1.883310046
5	-20	1.96091870913598	0.6606698739	0.03158138103	1.836465062
10	-20	1.91790934430325	0.8135100170	0.05285959146	1.778003660
15	-20	1.87531991263287	0.9578947722	0.07801616047	1.708886554
20	-20	1.83330292585878	1.093285384	0.1067146156	1.630038197
25	-20	1.79200870749965	1.219215608	0.1386258323	1.542362850
30	-20	1.75158014993978	1.335277712	0.1734284526	1.446743436
35	-20	1.71216131515264	1.441117081	0.2108041749	1.344054483
40	-20	1.67390111987432	1.536431183	0.2504346723	1.235170586
45	-20	1.63695217258098	1.620970244	0.2920001976	1.120970244

-45	-15	2.31002629633152	-1.104882894	0.2699729247	1.604882894
-40	-15	2.27532208234449	-0.9326793369	0.2425033487	1.707400747
-35	-15	2.23776341537474	-0.7536846007	0.2202511284	1.790447164
-30	-15	2.19796922612971	-0.5705395368	0.2031608719	1.854228869
-25	-15	2.15650287125191	-0.3856370364	0.1910962226	1.899254754
-20	-15	2.11387099714316	-0.2011036305	0.1838584755	1.926266393
-15	-15	2.07052048403355	-0.01879542461	0.1812045754	1.936170883
-10	-15	2.02683760730792	0.1596921052	0.1828628879	1.929981977
-5	-15	1.98315444989696	0.3330037006	0.1885448953	1.908776436
0	-15	1.93975634401062	0.5000000000	0.1979541153	1.873660749
5	-15	1.89688957163991	0.6597321574	0.2107925888	1.825746914
10	-15	1.85476699172970	0.8114170805	0.2267658138	1.766134027
15	-15	1.81356970559318	0.9544131163	0.2455868837	1.695892838
20	-15	1.77345373799726	1.088198076	0.2669777781	1.616060933
25	-15	1.73456401113086	1.212354317	0.2906677477	1.527648763
30	-15	1.69702680680081	1.326551287	0.3163962129	1.431628823
35	-15	1.66096157704127	1.430537132	0.3439103272	1.328944751
40	-15	1.62648080332442	1.524129927	0.3729651918	1.220510520
45	-15	1.59369114609827	1.607211490	0.4033235753	1.107211490

-45	-10	2.26092999478451	-1.086435439	0.4202686290	1.586435439
-40	-10	2.22297387860253	-0.9160405783	0.4024356221	1.687571446
-35	-10	2.18258811926818	-0.7390232628	0.3879878907	1.769508603
-30	-10	2.14038822909536	-0.5579305684	0.3769002928	1.832389495
-25	-10	2.09694116709057	-0.3751018475	0.3690938614	1.876661968
-20	-10	2.05276084227129	-0.1926419614	0.3644465556	1.903018149
-15	-10	2.00830489620544	-0.01240858687	0.3628037644	1.912334880
-10	-10	1.96397192170553	0.1639882277	0.3639882277	1.905617456
-5	-10	1.92010446243712	0.3351753858	0.3678080863	1.883953961
0	-10	1.87699588434223	0.5000000000	0.3740630852	1.848480099
5	-10	1.83489680668505	0.6575102626	0.3825496250	1.800350540
10	-10	1.79401958164663	0.8069349885	0.3930650115	1.740714820
15	-10	1.75453688135287	0.9476609930	0.4054116471	1.670693570
20	-10	1.71659247604748	1.079212130	0.4193981363	1.591372248
25	-10	1.68031063941234	1.201232332	0.4348399115	1.503797589
30	-10	1.64578842802111	1.313464522	0.4515620054	1.408961882
35	-10	1.61311200501853	1.415740025	0.4693974072	1.307812292
40	-10	1.58235228738316	1.507962833	0.4881883910	1.201243327
45	-10	1.55356956887903	1.590099130	0.5077861117	1.090099130

-45	-5	2.21177919476219	-1.060979881	0.5634319564	1.560979881
-40	-5	2.17059319178018	-0.8921074423	0.5548520163	1.659049046
-35	-5	2.12746950771688	-0.7171446997	0.5479217128	1.738262777
-30	-5	2.08302231229447	-0.5385344649	0.5426258769	1.798794459
-25	-5	2.03781874434075	-0.3585247999	0.5389235389	1.841112375
-20	-5	1.99237049849996	-0.1791395946	0.5367530917	1.865920701
-15	-5	1.94713256738367	-0.002165068931	0.5360370100	1.874105551
-10	-5	1.90250045906734	0.1708537058	0.5366865396	1.866681394
-5	-5	1.85880985142050	0.3386058720	0.5386058720	1.844743325
0	-5	1.81634432074596	0.5000000000	0.5416951616	1.809432582
5	-5	1.77534166781008	0.6541468700	0.5458531300	1.761906786
10	-5	1.73599587682804	0.8003398012	0.5509795398	1.703311654
15	-5	1.69845752645392	0.9380318295	0.5569772911	1.634757043
20	-5	1.66284703446275	1.066814888	0.5637529327	1.557311106
25	-5	1.62925855072884	1.186400042	0.5712175937	1.471989640
30	-5	1.59775680170265	1.296595166	0.5792881026	1.379743301
35	-5	1.56839340549126	1.397292165	0.5878862508	1.281466017
40	-5	1.54120056473944	1.488447206	0.5969396222	1.177985509
45	-5	1.51620025948558	1.570069791	0.6063810241	1.070069791

-45	0	2.16248153624129	-1.029105358	0.7000000000	1.529105358
-40	0	2.11817935284502	-0.8615394431	0.7000000000	1.622619523
-35	0	2.07250108252955	-0.6887377853	0.7000000000	1.697693499
-30	0	2.02605552761007	-0.5130277638	0.7000000000	1.754615556
-25	0	1.97939876843072	-0.3365300668	0.7000000000	1.793944517
-20	0	1.93302743329671	-0.1611343198	0.7000000000	1.816451615
-15	0	1.88737621106116	0.01151109130	0.7000000000	1.823065426
-10	0	1.84281805659598	0.1799980027	0.7000000000	1.814821510
-5	0	1.79966355819635	0.3431489859	0.7000000000	1.792815295
0	0	1.75816839388766	0.5000000000	0.7000000000	1.758168394
5	0	1.71854032091990	0.6497806581	0.7000000000	1.712000756
10	0	1.68094226617912	0.7918925613	0.7000000000	1.655404976
15	0	1.64549399170922	0.9258851837	0.7000000000	1.589425144
20	0	1.61228622950951	1.051434367	0.7000000000	1.515053472
25	0	1.58137987920882	1.168320016	0.7000000000	1.433216899
30	0	1.55281038817210	1.276405194	0.7000000000	1.344773243
35	0	1.52659909938892	1.375621271	0.7000000000	1.250516773
40	0	1.50274888839929	1.465948366	0.7000000000	1.151172435
45	0	1.48125423748247	1.547404916	0.7000000000	1.047404916

-45	5	2.11291733623616	-0.9912073770	0.8304637405	1.491207377
-40	5	2.06570262988547	-0.8248360013	0.8381339317	1.578878064
-35	5	2.01774340352278	-0.6543693952	0.8442347163	1.648610351
-30	5	1.96963354426798	-0.4820021163	0.8488075044	1.700877558
-25	5	1.92190179490814	-0.3096894576	0.8519139720	1.736384645
-20	5	1.87500938912123	-0.1391346977	0.8536308062	1.756008150
-15	5	1.82935051784331	0.02821089623	0.8540448687	1.760740906
-10	5	1.78525461983461	0.1911380812	0.8532489037	1.751642985
-5	5	1.74298798402391	0.3486622902	0.8513377098	1.729797938
0	5	1.70276057973552	0.5000000000	0.8484053630	1.696281062
5	5	1.66473729016594	0.6445434686	0.8445434686	1.652139406
10	5	1.62904122134875	0.7818358747	0.8398393140	1.598370673
15	5	1.59575658938573	0.9115452800	0.8343745290	1.535907895
20	5	1.56494135767483	1.033441767	0.8282250659	1.465619209
25	5	1.53662713260172	1.147374800	0.8214604887	1.388299738
30	5	1.51082741598103	1.253254698	0.8141443077	1.304675407
35	5	1.48754163551960	1.351036130	0.8063342075	1.215405553
40	5	1.46675623854742	1.440702423	0.7980822715	1.121085493
45	5	1.44845203437598	1.522255969	0.7894358085	1.022255969

-45	10	2.06294583268313	-0.9475151306	0.9552359725	1.447515131
-40	10	2.01311378696635	-0.7823591129	0.9694727803	1.528256080
-35	10	1.96323645994424	-0.6145005431	0.9806546703	1.591671729
-30	10	1.91387661618284	-0.4459725806	0.9889069216	1.638472572
-25	10	1.86551419662976	-0.2785220423	0.9943859890	1.669545907
-20	10	1.81855134394239	-0.1136150612	0.9972685150	1.685893525
-15	10	1.77331801201445	0.04754709889	0.9977417220	1.688577215
-10	10	1.73007870841864	0.2040045193	0.9959954807	1.678673788
-5	10	1.68903757387917	0.3550105102	0.9922156762	1.657237452
0	10	1.65034510732470	0.5000000000	0.9865794204	1.625272657
5	10	1.61411373925640	0.6385579168	0.9792533127	1.583724236
10	10	1.58042126812587	0.7703909081	0.9703909081	1.533463041
15	10	1.54931370626724	0.8952993633	0.9601311935	1.475277308
20	10	1.52081967364794	1.013154528	0.9485999681	1.409880479
25	10	1.49494843608969	1.123876415	0.9359091529	1.337907290
30	10	1.47170066915589	1.227418094	0.9221587882	1.259925097
35	10	1.45106525313657	1.323748461	0.9074371827	1.176434723
40	10	1.43302749177683	1.412842520	0.8918231870	1.087883353
45	10	1.41756882192720	1.494670963	0.8753873277	0.9946709632

-45	15	2.01241799336650	-0.8981205398	1.074625270	1.398120540
-40	15	1.96035485574211	-0.7343570682	1.094166518	1.471049471
-35	15	1.90901177978011	-0.5695047807	1.109268576	1.527411121
-30	15	1.85889048542358	-0.4053883629	1.120192202	1.568178645
-25	15	1.81039775738403	-0.2434978761	1.127227930	1.594436341
-20	15	1.76385100109468	-0.08501315462	1.130677532	1.607310432
-15	15	1.71949196331555	0.06915926691	1.130840733	1.607919506
-10	15	1.67750045282096	0.2183461341	1.128005547	1.597338449
-5	15	1.63800348723855	0.3620679692	1.122440746	1.576570327
0	15	1.60108239892473	0.5000000000	1.114390618	1.546526839
5	15	1.56679079140021	0.6319353942	1.104075007	1.508028456
10	15	1.53515833605013	0.7577544938	1.091687694	1.461798375
15	15	1.50619590000504	0.8773966727	1.077396673	1.408463557
20	15	1.47990788692881	0.9908382743	1.061347459	1.348567075
25	15	1.45629007362514	1.098072204	1.043663590	1.282569980
30	15	1.43533884080582	1.199093945	1.024450629	1.210866232
35	15	1.41704643372447	1.293886110	1.003797275	1.133786865
40	15	1.40141121641367	1.382412608	0.9817802998	1.051618395
45	15	1.38843039421915	1.464607283	0.9584657424	0.9646072827

-45	20	1.96119245844603	-0.8430070993	1.188814609	1.343007099
-40	20	1.90738085131697	-0.6809950836	1.212271775	1.407455134
-35	20	1.85511037876996	-0.5196913392	1.230038989	1.456270154
-30	20	1.80478703521707	-0.3606505310	1.242566951	1.490690447
-25	20	1.75671021833516	-0.2050486994	1.250316375	1.511981815
-20	20	1.71108873003804	-0.05373496687	1.253734967	1.521374318
-15	20	1.66805543327503	0.09271276464	1.253240818	1.520016656
-10	20	1.62768961768105	0.2339305942	1.249214553	1.508954584
-5	20	1.59003043885853	0.3697192347	1.241993885	1.489115962
0	20	1.55508467208657	0.5000000000	1.231870282	1.461301591
5	20	1.52284539237558	0.6247758900	1.219092510	1.426194949
10	20	1.49329582615328	0.7441007972	1.203867440	1.384364413
15	20	1.46641590768755	0.8580531372	1.186363415	1.336272500
20	20	1.44219140012183	0.9667156023	1.166715602	1.282290579
25	20	1.42061216593896	1.070157075	1.145028514	1.222705793
30	20	1.40167917157040	1.168420096	1.121382013	1.157737567
35	20	1.38540283618328	1.261509013	1.095834947	1.087547579
40	20	1.37180496583235	1.349381978	1.068430334	1.012254024
45	20	1.36091518812786	1.431942580	1.039199359	0.9319425798

-45	25	1.90914116115061	-0.7820702572	1.297839179	1.282070257
-40	25	1.85416625864178	-0.6223763414	1.323731276	1.337596037
-35	25	1.80159029478626	-0.4653232707	1.342863164	1.378624505
-30	25	1.75168357783163	-0.3121204981	1.355924190	1.406633965
-25	25	1.70460422507647	-0.1635710953	1.363571095	1.423032806
-20	25	1.66042647348746	-0.02015401807	1.366405599	1.429111419
-15	25	1.61916054561984	0.1179013119	1.364960184	1.426011717
-10	25	1.58077505037530	0.2505470463	1.359693838	1.414718001
-5	25	1.54521693089141	0.3778605430	1.350993647	1.396060381
0	25	1.51241838299546	0.5000000000	1.339175628	1.370716558
5	25	1.48231449771924	0.6171674243	1.324493106	1.339229788
10	25	1.45484625077094	0.7295808593	1.307140850	1.302017754
15	25	1.42996748777138	0.8374518373	1.287261990	1.259387402
20	25	1.40765030643971	0.9409680131	1.264954884	1.211549659
25	25	1.38788589133455	1.040278469	1.240278469	1.158630916
30	25	1.37068838965035	1.135482431	1.213259177	1.100687857
35	25	1.35609411088567	1.226618702	1.183896341	1.037719052
40	25	1.34415866872089	1.313655130	1.152167543	0.9696764248
45	25	1.33495903681780	1.396482309	1.118036566	0.8964823087

-45	30	1.85616692379645	-0.7151464901	1.401565153	1.215146490
-40	30	1.80072581568423	-0.5585726669	1.428360723	1.261557779
-35	30	1.74854421403901	-0.4066418442	1.447563950	1.294818743
-30	30	1.69971751805507	-0.2601367826	1.460136783	1.316595528
-25	30	1.65423350506514	-0.1194336611	1.466940420	1.328379773
-20	30	1.61201191027901	0.01538637494	1.468721672	1.331464992
-15	30	1.57293198656092	0.1444471799	1.466109853	1.326941189
-10	30	1.53685019024596	0.2680066449	1.459619574	1.315699697
-5	30	1.50362356736273	0.3863999492	1.449663068	1.298454522
0	30	1.47311492517505	0.5000000000	1.436557463	1.275754948
5	30	1.44520688196764	0.6091866201	1.420538204	1.248008778
10	30	1.41980374376726	0.7143247508	1.401766979	1.215496063
15	30	1.39683791404665	0.8157477016	1.380341743	1.178386465
20	30	1.37627262726689	0.9137441310	1.356304453	1.136752657
25	30	1.35810571890292	1.008547551	1.329648817	1.090583742
30	30	1.34236722888133	1.100324875	1.300324875	1.039793184
35	30	1.32912402665395	1.189167279	1.268247116	0.9842328762
40	30	1.31847533027956	1.275077435	1.233299205	0.9237013178
45	30	1.31055572214281	1.357960114	1.195343503	0.8579601142

-45	35	1.80221785432283	-0.6420425197	1.499666781	1.142042520
-40	35	1.74711964370652	-0.4896471509	1.525835657	1.179415547
-35	35	1.69610658437688	-0.3438856397	1.543885640	1.205193594
-30	35	1.64905552223580	-0.2050290461	1.555055725	1.221146129
-25	35	1.60576497680269	-0.07298663139	1.560396675	1.228773796
-20	35	1.56599073881246	0.05256778388	1.560772066	1.229309911
-15	35	1.52948025176788	0.1720983014	1.556876033	1.223745799
-10	35	1.49598620485835	0.2861411381	1.549249427	1.212853876
-5	35	1.46528427680516	0.3952568193	1.538302492	1.197220034
0	35	1.43717748389069	0.5000000000	1.524331140	1.177266874
5	35	1.41150504572670	0.6008988702	1.507534904	1.153279364
10	35	1.38814204659765	0.6984419892	1.488027880	1.125420446
15	35	1.36700541948690	0.7930690988	1.465851131	1.093748767
20	35	1.34805190110624	0.8851631013	1.440978469	1.058226924
25	35	1.33128501901073	0.9750436891	1.413325562	1.018734479
30	35	1.31675142096325	1.062957393	1.382751930	0.9750708078
35	35	1.30454782387431	1.149068393	1.349068393	0.9269657316
40	35	1.29482105975084	1.233444889	1.312041313	0.8740855811
45	35	1.28776711423391	1.316041632	1.271398503	0.8160416325

-45	40	1.74731943459484	-0.5625805977	1.591610988	1.062580598
-40	40	1.69347909585412	-0.4156915867	1.615691587	1.091278738
-35	40	1.64446140667180	-0.2773107418	1.631496908	1.110114787
-30	40	1.59989399689678	-0.1471279183	1.640511898	1.120858434
-25	40	1.55937334919351	-0.02456457115	1.643930323	1.124932353
-20	40	1.52249826750491	0.09109745231	1.642686914	1.123450517
-15	40	1.48889458428151	0.2006295101	1.637497387	1.117265878
-10	40	1.45822728603703	0.3048036015	1.628894860	1.107013786
-5	40	1.43020582409481	0.4043618618	1.617260857	1.093148922
0	40	1.40458756346865	0.5000000000	1.602851483	1.075976498
5	40	1.38117860262414	0.5923596785	1.585817305	1.055675956
10	40	1.35983239302345	0.6820253868	1.566217038	1.032317267
15	40	1.34045335381815	0.7695235656	1.544029879	1.005875641
20	40	1.32299313313229	0.8553207739	1.519159102	0.9762358030
25	40	1.30745834588792	0.9398217572	1.491439445	0.9432008020
30	40	1.29391047174238	1.023363168	1.460636765	0.9064915971
35	40	1.28247070068082	1.106203495	1.426449090	0.8657483127
40	40	1.27332652642796	1.188508285	1.388508285	0.8205322217
45	40	1.26673386992212	1.270326711	1.346380859	0.7703267107

-45	45	1.69159364036770	-0.4766420436	1.676642044	0.9766420436
-40	45	1.64002290673024	-0.3368604015	1.697331390	0.9973313900
-35	45	1.59385689451211	-0.2072143967	1.710006831	1.010006831
-30	45	1.55246524691035	-0.08677670891	1.716327073	1.016327073
-25	45	1.51524905617290	0.02550640543	1.717554797	1.017554797
-20	45	1.48166986406932	0.1307033145	1.714634305	1.014634305
-15	45	1.45125503124955	0.2298390250	1.708254485	1.008254485
-10	45	1.42360380673579	0.3238659996	1.698905554	0.9989055542
-5	45	1.39837984857364	0.4136559379	1.686917145	0.9869171454
0	45	1.37531092099867	0.5000000000	1.672491678	0.9724916785
5	45	1.35418265655761	0.5836150717	1.655724643	0.9557246432
10	45	1.33483456297882	0.6651511118	1.636618498	0.9366184978
15	45	1.31716162097082	0.7451985765	1.615093545	0.9150935454
20	45	1.30111070384957	0.8242934760	1.590989002	0.8909890025
25	45	1.28668605880327	0.9029200946	1.564064931	0.8640649314
30	45	1.27395468683474	0.9815096118	1.533999112	0.8339991121
35	45	1.26305162841178	1.060431930	1.500379744	0.8003797436
40	45	1.25419219684906	1.139981174	1.462699863	0.7626998634
45	45	1.24768386561738	1.220350616	1.420350616	0.7203506157


### +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	1.91687004124915	1.606705434	-0.4067054343	1.106705434
45	-40	1.85073460007090	1.625469470	-0.2443810170	1.125469470
45	-35	1.79016332171300	1.634403716	-0.09431803314	1.134403716
45	-30	1.73468754744768	1.635619570	0.04434973529	1.135619570
45	-25	1.68378893524828	1.630736562	0.1727288817	1.130736562
45	-20	1.63695223321000	1.620970286	0.2920001825	1.120970286
45	-15	1.59369117052103	1.607211507	0.4033235708	1.107211507
45	-10	1.55356959455181	1.590099148	0.5077861086	1.090099148
45	-5	1.51620027535380	1.570069802	0.6063810231	1.070069802
45	0	1.48125425087344	1.547404925	0.7000000000	1.047404925
45	5	1.44845204211585	1.522255974	0.7894358090	1.022255974
45	10	1.41756882539233	1.494670966	0.8753873282	0.9946709657
45	15	1.38843040501118	1.464607290	0.9584657444	0.9646072902
45	20	1.36091520283017	1.431942590	1.039199363	0.9319425899
45	25	1.33495908136502	1.396482339	1.118036580	0.8964823386
45	30	1.31055575969438	1.357960139	1.195343517	0.8579601388
45	35	1.28776711140674	1.316041631	1.271398501	0.8160416307
45	40	1.26673387116398	1.270326711	1.346380859	0.7703267115
45	45	1.24768386476572	1.220350615	1.420350615	0.7203506152

50	-45	1.92881684339529	1.672952875	-0.4729528750	0.9842243248
50	-40	1.85939545803780	1.698195321	-0.3054052521	1.005405252
50	-35	1.79509386595610	1.711801162	-0.1485123086	1.016821908
50	-30	1.73568405569214	1.715990632	-0.002052518482	1.020337290
50	-25	1.68083804791920	1.712557019	0.1345753759	1.017456148
50	-20	1.63017927666251	1.702908266	0.2621771968	1.009359882
50	-15	1.58332428026690	1.688125883	0.3816426291	0.9969559903
50	-10	1.53990931844695	1.669022732	0.4938697514	0.9809265429
50	-5	1.49959893083971	1.646188141	0.5997215314	0.9617660463
50	0	1.46210194073475	1.620035067	0.7000000000	0.9398210116
50	5	1.42716707191155	1.590826313	0.7954349363	0.9153119570
50	10	1.39459363214486	1.558706274	0.8866784808	0.8883600443
50	15	1.36422814517645	1.523716234	0.9743039382	0.8589999146
50	20	1.33596835582130	1.485810212	1.058805574	0.8271929851
50	25	1.30976795481202	1.444866955	1.140598697	0.7928375130
50	30	1.28563507982431	1.400693999	1.220015923	0.7557720022
50	35	1.26364390070321	1.353039040	1.297304366	0.7157847435
50	40	1.24393711368020	1.301593670	1.372616953	0.6726169530
50	45	1.22672902880768	1.245998951	1.445998951	0.6259674443

55	-45	1.93908118431345	1.728771070	-0.5287710702	0.8603947661
55	-40	1.86704550461576	1.760373040	-0.3575785527	0.8825227033
55	-35	1.79963812191672	1.778759458	-0.1953970121	0.8953970121
55	-30	1.73684813943188	1.786157654	-0.04256346766	0.9005772845
55	-25	1.67853151049665	1.784456671	0.1010480178	0.8993862435
55	-20	1.62446059189136	1.775209013	0.2358618767	0.8929109639
55	-15	1.57437044223543	1.759662694	0.3624743984	0.8820253140
55	-10	1.52798445069607	1.738796091	0.4815668255	0.8674143614
55	-5	1.48503295583975	1.713355820	0.5938451209	0.8496008918
55	0	1.44527248940067	1.683897914	0.7000000000	0.8289742440
55	5	1.40848641682513	1.650812973	0.8006830890	0.8058079190
55	10	1.37449942214745	1.614359842	0.8964917064	0.7802831619
55	15	1.34317583832942	1.574682584	0.9879603305	0.7525008466
55	20	1.31442669324491	1.531830981	1.075555764	0.7224958312
55	25	1.28821209899725	1.485773942	1.159673938	0.6902463453
55	30	1.26454009752414	1.436407673	1.240635222	0.6556797116
55	35	1.24347637983001	1.383570515	1.318682735	0.6186827349
55	40	1.22514144553579	1.327047463	1.393975221	0.5791048680
55	45	1.20971192560779	1.266579053	1.466579053	0.5367644314

60	-45	1.94773774157645	1.775093662	-0.5750936621	0.7361756691
60	-40	1.87365349929745	1.812649669	-0.4014438535	0.7578586400
60	-35	1.80370559478772	1.835666431	-0.2352437037	0.7711473736
60	-30	1.73806722721633	1.846301085	-0.07728729390	0.7772872939
60	-25	1.67676203241706	1.846470593	0.07213045111	0.7773851592
60	-20	1.61970986320858	1.837823230	0.2130721657	0.7723926018
60	-15	1.56676902885817	1.821742056	0.3458402834	0.7631081321
60	-10	1.51775707120762	1.799354050	0.4708888235	0.7501824105
60	-5	1.47247883657250	1.771559482	0.5887529604	0.7341352090
60	0	1.43074492553595	1.739061452	0.7000000000	0.7153724628
60	5	1.39237718884193	1.702387683	0.8051952914	0.6941988524
60	10	1.35722642963346	1.661923533	0.9048784683	0.6708368644
60	15	1.32517119444799	1.617927702	0.9995478249	0.6454358596
60	20	1.29612844640926	1.570556390	1.089650660	0.6180860200
60	25	1.27005401122591	1.519876610	1.175576274	0.5888260353
60	30	1.24694228622833	1.465877342	1.257649543	0.5576495432
60	35	1.22683540672988	1.408486881	1.336129362	0.5245151451
60	40	1.20981743135725	1.347577448	1.411201924	0.4893490678
60	45	1.19601676076188	1.282976763	1.482976763	0.4520518447

65	-45	1.95487010548334	1.812779207	-0.6127792067	0.6121589975
65	-40	1.87920718428102	1.855660568	-0.4375342823	0.6321549046
65	-35	1.80722431649971	1.882935807	-0.2683420770	0.6448735576
65	-30	1.73924097485309	1.896642327	-0.1063518233	0.6512650127
65	-25	1.67542709679134	1.898675240	0.04778702451	0.6522129755
65	-20	1.61583917461672	1.890735605	0.1938136360	0.6485106631
65	-15	1.56045388453395	1.874308144	0.3317552427	0.6408504121
65	-10	1.50918346352818	1.850646958	0.4618444999	0.6298170201
65	-5	1.46190907198684	1.820794055	0.5844454933	0.6158963828
65	0	1.41849761861228	1.785595438	0.7000000000	0.5994829979
65	5	1.37881011928837	1.745716470	0.8089860691	0.5808871299
65	10	1.34272146207025	1.701671435	0.9118870959	0.5603485928
65	15	1.31012042227876	1.653836831	1.009169647	0.5380429507
65	20	1.28092353579010	1.602477274	1.101268912	0.5140935958
65	25	1.25507481935559	1.547757958	1.188577560	0.4885775597
65	30	1.23254755604567	1.489758240	1.271437186	0.4615318471
65	35	1.21335173997770	1.428488817	1.350134869	0.4329614459
65	40	1.19752810457283	1.363897096	1.424895735	0.4028418319
65	45	1.18515280177947	1.295880990	1.495880990	0.3711254006

70	-45	1.96056694671291	1.842578754	-0.6425787544	0.4886587038
70	-40	1.88371827119396	1.889994531	-0.4663438980	0.5059166350
70	-35	1.81015082737274	1.920976700	-0.2949785967	0.5171932222
70	-30	1.74029699285039	1.937423946	-0.1298971024	0.5231795305
70	-25	1.67444782554800	1.941179448	0.02796698663	0.5245464213
70	-20	1.61277882305956	1.933964375	0.1780796504	0.5219203496
70	-15	1.55537162791731	1.917333461	0.3202266438	0.5158671918
70	-10	1.50222750207023	1.892644550	0.4544391912	0.5068811632
70	-5	1.45330001526324	1.861063409	0.5809223814	0.4953865678
70	0	1.40850946380853	1.823565949	0.7000000000	0.4817386087
70	5	1.36775393675884	1.780946684	0.8120683135	0.4662264648
70	10	1.33093021471723	1.733842882	0.9175597900	0.4490820828
70	15	1.29793379948719	1.682743063	1.016915049	0.4304832699
70	20	1.26867640765992	1.628013802	1.110563448	0.4105634478
70	25	1.24308532306938	1.569910326	1.198907379	0.3894155122
70	30	1.22110870956031	1.508592733	1.282311286	0.3670977333
70	35	1.20272137478860	1.444141794	1.361095201	0.3436395100
70	40	1.18792072205434	1.376565956	1.435526170	0.3190439162
70	45	1.17673370720117	1.305816745	1.505816745	0.2932933094

75	-45	1.96490833819649	1.865113369	-0.6651133688	0.3657810248
75	-40	1.88720057296643	1.916154527	-0.4882947414	0.3794574619
75	-35	1.81245046183078	1.950151864	-0.3154072669	0.3885670209
75	-30	1.74117300405529	1.968870998	-0.1480530661	0.3935827977
75	-25	1.67375332768668	1.974092155	0.01261953949	0.3949818024
75	-20	1.61046320375853	1.967535697	0.1658606885	0.3932250049
75	-15	1.55147075772655	1.950800671	0.3112591318	0.3887408682
75	-10	1.49685371613106	1.925324201	0.4486768870	0.3819144687
75	-5	1.44662867295147	1.892373006	0.5781831466	0.3730852226
75	0	1.40076249983486	1.853032675	0.7000000000	0.3625440126
75	5	1.35918490441915	1.808208808	0.8144534402	0.3505334935
75	10	1.32181038008347	1.758645587	0.9219331762	0.3372530686
75	15	1.28853854711829	1.704929309	1.022859835	0.3228598354
75	20	1.25927416590758	1.647514446	1.117661102	0.3074755691
75	25	1.23392690636126	1.586732401	1.206751641	0.2911890692
75	30	1.21242082094514	1.522810357	1.290519835	0.2740612091
75	35	1.19469813937067	1.455884738	1.369317699	0.2561285435
75	40	1.18071800400916	1.386010300	1.443450916	0.2374057445
75	45	1.17046555632360	1.313176955	1.513176955	0.2178901083

80	-45	1.96795928925064	1.880865558	-0.6808655577	0.2434838545
80	-40	1.88967151058248	1.934544830	-0.5037260376	0.2529489585
80	-35	1.81410422900753	1.970764462	-0.3298403629	0.2593354568
80	-30	1.74182790183641	1.991181416	-0.1609339919	0.2629355168
80	-25	1.67329418661197	1.997518200	0.001695795273	0.2640528627
80	-20	1.60884510674113	1.991484723	0.1571439559	0.2629889980
80	-15	1.54871324248641	1.974705538	0.3048538419	0.2600303750
80	-10	1.49303501644132	1.948673251	0.4445598196	0.2554401804
80	-5	1.44187595521015	1.914729235	0.5762272300	0.2494549345
80	0	1.39523921870532	1.874042400	0.7000000000	0.2422807477
80	5	1.35307888198353	1.827603976	0.8161502976	0.2340924007
80	10	1.31532221397873	1.776240736	0.9250356756	0.2250356756
80	15	1.28187115096061	1.720614917	1.027062781	0.2152273429
80	20	1.25262363616841	1.661248531	1.122659900	0.2047594474
80	25	1.22747427547155	1.598530720	1.212253287	0.1937006050
80	30	1.20632683213786	1.532738166	1.296251658	0.1820996028
80	35	1.18909730267432	1.464047173	1.375033098	0.1699875273
80	40	1.17571520272596	1.392544633	1.448933873	0.1573797003
80	45	1.16613413693810	1.318245822	1.518245822	0.1442788152

85	-45	1.96977058757597	1.890180477	-0.6901804774	0.1216250320
85	-40	1.89114779663978	1.945460605	-0.5128854602	0.1264614165
85	-35	1.81510083420794	1.983039924	-0.3384357339	0.1297491809
85	-30	1.74223254063298	2.004505363	-0.1686265762	0.1316271635
85	-25	1.67303395743423	2.011539498	-0.004842443655	0.1322425706
85	-20	1.60788909627584	2.005841183	0.1519186317	0.1317440326
85	-15	1.54707087446414	1.989048133	0.3010107553	0.1302748311
85	-10	1.49075256026753	1.962685622	0.4420890605	0.1279684102
85	-5	1.43903047800546	1.928140628	0.5750538851	0.1249461149
85	0	1.39193074517892	1.886634028	0.7000000000	0.1213147579
85	5	1.34942274937267	1.839211005	0.8171657810	0.1171657810
85	10	1.31144151081672	1.786750527	0.9268888353	0.1125760839
85	15	1.27788994289069	1.729962806	1.029567540	0.1076078021
85	20	1.24866112107531	1.669412334	1.125631281	0.1023103222
85	25	1.22363943233037	1.605524084	1.215514347	0.09672082462
85	30	1.20271530881886	1.538605117	1.299638944	0.09086617363
85	35	1.18578817937993	1.468855932	1.378400227	0.08476391066
85	40	1.17276892253766	1.396382228	1.452153997	0.07842328315
85	45	1.16359161870231	1.321213578	1.521213578	0.07184687840

90	-45	1.97036931967315	1.893261507	-0.6932615074	0.000000000
90	-40	1.89163691816761	1.949077950	-0.5159207730	0.000000000
90	-35	1.81543178665781	1.987114659	-0.3412888946	0.000000000
90	-30	1.74236747874776	2.008934499	-0.1711837394	0.000000000
90	-25	1.67294783617590	2.016205651	-0.007018306508	0.000000000
90	-20	1.60757102385549	2.010622629	0.1501783280	0.000000000
90	-15	1.54652356524274	1.993827053	0.2997302476	0.000000000
90	-10	1.48999135670777	1.967355040	0.4412657162	0.000000000
90	-5	1.43808121661018	1.932608883	0.5746629634	0.000000000
90	0	1.39082711553810	1.890827116	0.7000000000	0.000000000
90	5	1.34820366376944	1.843073342	0.8175036917	0.000000000
90	10	1.31014847975581	1.790244380	0.9275048960	0.000000000
90	15	1.27656471339778	1.733066826	1.030399260	0.000000000
90	20	1.24734368943522	1.672119661	1.126616667	0.000000000
90	25	1.22236621807592	1.607840022	1.216594286	0.000000000
90	30	1.20151806228928	1.540545165	1.300759031	0.000000000
90	35	1.18469295751248	1.470443658	1.379511965	0.000000000
90	40	1.17179542919585	1.397647377	1.453215583	0.000000000
90	45	1.16275295476498	1.322190499	1.522190499	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	1.24768390451673	1.220350638	1.420350638	0.7203506381
40	45	1.25419218728112	1.139981169	1.462699858	0.7626998576
35	45	1.26305164637549	1.060431938	1.500379755	0.8003797550
30	45	1.27395473441867	0.9815096298	1.533999143	0.8339991432
25	45	1.28668609686635	0.9029201066	1.564064957	0.8640649569
20	45	1.30111074093671	0.8242934852	1.590989028	0.8909890279
15	45	1.31716163247195	0.7451985786	1.615093553	0.9150935534
10	45	1.33483457218830	0.6651511129	1.636618504	0.9366185043
5	45	1.35418266369721	0.5836150722	1.655724648	0.9557246482
0	45	1.37531093137392	0.5000000000	1.672491686	0.9724916858
-5	45	1.39837986532309	0.4136559369	1.686917157	0.9869171572
-10	45	1.42360383513414	0.3238659961	1.698905574	0.9989055741
-15	45	1.45125506242226	0.2298390192	1.708254507	1.008254507
-20	45	1.48166992960848	0.1307032981	1.714634349	1.014634349
-25	45	1.51524909693094	0.02550639267	1.717554825	1.017554825
-30	45	1.55246540823630	-0.08677676989	1.716327178	1.016327178
-35	45	1.59385701334268	-0.2072144494	1.710006906	1.010006906
-40	45	1.64002317306499	-0.3368605374	1.697331552	0.9973315520
-45	45	1.69159401383518	-0.4766422592	1.676642259	0.9766422592

45	50	1.22672905778098	1.245998968	1.445998968	0.6259674591
40	50	1.23094975849711	1.165594480	1.493224612	0.6655944796
35	50	1.23794314887024	1.085156029	1.535689417	0.7012266817
30	50	1.24742127522825	1.004559136	1.573922059	0.7333076777
25	50	1.25917182494796	0.9235784385	1.608366893	0.7622103247
20	50	1.27305527590911	0.8419087934	1.639386690	0.7882390247
15	50	1.28899645914239	0.7591771812	1.667262408	0.8116295300
10	50	1.30698062274454	0.6749507179	1.692194826	0.8325503123
5	50	1.32705100510176	0.5887401557	1.714304620	0.8511026329
0	50	1.34930288752342	0.5000000000	1.733625979	0.8673151778
-5	50	1.37388768894289	0.4081278663	1.750103293	0.8811412862
-10	50	1.40100932300346	0.3124627232	1.763576748	0.8924468573
-15	50	1.43092699713702	0.2122849928	1.773767025	0.9009975147
-20	50	1.46395650637931	0.1068202126	1.780252588	0.9064395479
-25	50	1.50046711238446	-0.004748838844	1.782437378	0.9082728047
-30	50	1.54088133365081	-0.1232583732	1.779515169	0.9058207799
-35	50	1.58566194653316	-0.2495171726	1.770421456	0.8981902489
-40	50	1.63529424181981	-0.3842300933	1.753784390	0.8842300933
-45	50	1.69025401861520	-0.5278779540	1.727877954	0.8624920121

45	55	1.20971195075563	1.266579069	1.466579069	0.5367644425
40	55	1.21179921808119	1.186417583	1.518040621	0.5727982094
35	55	1.21698057237541	1.105499936	1.564743527	0.6054999363
30	55	1.22500780847850	1.023733783	1.607133521	0.6351817299
25	55	1.23569269685035	0.9409333906	1.645584708	0.6621055404
20	55	1.24890906623536	0.8568361788	1.680399344	0.6864830109
15	55	1.26458753062906	0.7711119668	1.711803635	0.7084725322
10	55	1.28271323340875	0.6833704024	1.739945229	0.7281774888
5	55	1.30332647357325	0.5931659218	1.764891359	0.7456449568
0	55	1.32651648208488	0.5000000000	1.786618688	0.7608585966
-5	55	1.35242589479245	0.4033242954	1.805008360	0.7737351833
-10	55	1.38124500450661	0.3025439782	1.819828747	0.7841125300
-15	55	1.41321383085246	0.1970243878	1.830720378	0.7917389323
-20	55	1.44861781975514	0.08610337511	1.837171631	0.7962561482
-25	55	1.48778355078359	-0.03088720785	1.838491291	0.7971801843
-30	55	1.53106866746903	-0.1545855295	1.833775395	0.7938780782
-35	55	1.57884925952216	-0.2855451006	1.821874670	0.7855451006
-40	55	1.63148958029877	-0.4241490820	1.801357989	0.7711791659
-45	55	1.68931255780699	-0.5704958701	1.770495870	0.7495692778

45	60	1.19601677164974	1.282976770	1.482976770	0.4520518488
40	60	1.19619456943937	1.203193604	1.538033503	0.4838388688
35	60	1.19970331846230	1.122061038	1.588395232	0.5129152262
30	60	1.20634337155004	1.039493157	1.634429558	0.5394931566
25	60	1.21596300547640	0.9553217028	1.676440543	0.5637482101
20	60	1.22846086457639	0.8693079865	1.714665354	0.5858173151
15	60	1.24378446626749	0.7811507925	1.749269042	0.6057957639
10	60	1.26192835082109	0.6904928625	1.780338708	0.6237338439
5	60	1.28293672072775	0.5969269701	1.807880338	0.6396350115
0	60	1.30689669638880	0.5000000000	1.831805739	0.6534483482
-5	60	1.33394340270598	0.3992194313	1.851927172	0.6650654627
-10	60	1.36425196570810	0.2940610004	1.867938104	0.6743093790
-15	60	1.39803882446907	0.1839808391	1.879399565	0.6809266562
-20	60	1.43555249266704	0.06843476590	1.885715736	0.6845732992
-25	60	1.47706927196041	-0.05309387947	1.886113652	0.6848030364
-30	60	1.52287502958533	-0.1810504175	1.879613926	0.6810504175
-35	60	1.57325449558346	-0.3157519528	1.865014525	0.6726214499
-40	60	1.62845436917885	-0.4573013667	1.840867343	0.6586800676
-45	60	1.68865634234953	-0.6054850731	1.805485073	0.6382521045

45	65	1.18515281737222	1.295881000	1.495881000	0.3711254055
40	65	1.18368601825558	1.216516751	1.553911412	0.3981854306
35	65	1.18571794566291	1.135328203	1.607342707	0.4231008530
30	65	1.19109984577587	1.052221082	1.656474970	0.4460116036
25	65	1.19972144129953	0.9670295070	1.701548010	0.4670295070
20	65	1.21151279908710	0.8795249356	1.742736191	0.4862358711
15	65	1.22644512739422	0.7894234765	1.780143119	0.5036790084
10	65	1.24452832594827	0.6963918059	1.813793279	0.5193703354
5	65	1.26581538011147	0.6000545619	1.843628876	0.5332829031
0	65	1.29039506711909	0.5000000000	1.869495098	0.5453445202
-5	65	1.31839646951726	0.3957892412	1.891134423	0.5554351035
-10	65	1.34997928553730	0.2869675890	1.908166840	0.5633774497
-15	65	1.38533447204244	0.1730809148	1.920078636	0.5689320114
-20	65	1.42467097746584	0.05370000106	1.926199169	0.5717860631
-25	65	1.46821190008619	-0.07154790790	1.925688444	0.5715479079
-30	65	1.51617089526776	-0.2029314417	1.917512971	0.5677356224
-35	65	1.56874305958654	-0.3405596908	1.900443647	0.5597760657
-40	65	1.62606842748600	-0.4843026342	1.873046200	0.5470004267
-45	65	1.68820636311933	-0.6337030547	1.833703055	0.5286544165

45	70	1.17673371573383	1.305816751	1.505816751	0.2932933115
40	70	1.17391070377873	1.226851572	1.566227972	0.3152811979
35	70	1.17470067946793	1.145693174	1.622145420	0.3356334845
30	70	1.17900214699424	1.062231889	1.673814197	0.3544393815
25	70	1.18674512501825	0.9762954631	1.721418917	0.3717660824
20	70	1.19789259237539	0.8876567026	1.765078037	0.3876567026
15	70	1.21244209217733	0.7960406338	1.804838687	0.4021283956
10	70	1.23042224445058	0.7011303089	1.840666664	0.4151687129
5	70	1.25189799313700	0.6025755386	1.872443771	0.4267346340
0	70	1.27696212326104	0.5000000000	1.899951884	0.4367467684
-5	70	1.30573920021879	0.3930129272	1.922867838	0.4450874934
-10	70	1.33837443637798	0.2812233443	1.940744070	0.4515939099
-15	70	1.37503375010772	0.1642595423	1.953000446	0.4560548660
-20	70	1.41588748876298	0.04179675319	1.958903074	0.4582032468
-25	70	1.46110732042574	-0.08640964527	1.957559543	0.4577142413
-30	70	1.51083988721829	-0.2204756715	1.947900469	0.4541986259
-35	70	1.56519828665034	-0.3603364820	1.928687832	0.4472057980
-40	70	1.62423226092483	-0.5056776618	1.898519966	0.4362255930
-45	70	1.68790094378689	-0.6558595082	1.855859508	0.4206984560

45	75	1.17046556067523	1.313176958	1.513176958	0.2178901091
40	75	1.16658421938885	1.234551437	1.575404314	0.2345638791
35	75	1.16639069580185	1.153458736	1.633235792	0.2500597768
30	75	1.16982311469210	1.069772261	1.686874505	0.2644322266
25	75	1.17684662747097	0.9833097944	1.736461199	0.2777189412
20	75	1.18745413742063	0.8938406875	1.782068396	0.2899393528
15	75	1.20166795066047	0.8010932949	1.823695474	0.3010932949
10	75	1.21953521375127	0.7047610818	1.861257801	0.3111580899
5	75	1.24113327450028	0.6045126182	1.894584693	0.3200880037
0	75	1.26656004345436	0.5000000000	1.923403057	0.3278098610
-5	75	1.29593705615861	0.3908724973	1.947333064	0.3342218871
-10	75	1.32939713082213	0.2767930014	1.965869793	0.3391887888
-15	75	1.36708398762517	0.1574595985	1.978378182	0.3425404015
-20	75	1.40913384516724	0.03263521945	1.984074181	0.3440666399
-25	75	1.45567311249944	-0.09781882902	1.982026616	0.3435179964
-30	75	1.50679119865586	-0.2338954216	1.971144158	0.3406020505
-35	75	1.56253274231053	-0.3753933609	1.950191283	0.3349877448
-40	75	1.62287524789024	-0.5218596532	1.917804913	0.3263098429
-45	75	1.68770045572924	-0.6725241376	1.872524138	0.3141768958

45	80	1.16613413974591	1.318245823	1.518245823	0.1442788155
40	80	1.16149654054038	1.239876545	1.581750531	0.1554764088
35	80	1.16059250282296	1.158851341	1.640937230	0.1659126207
30	80	1.16338976837197	1.075029138	1.695979683	0.1756180904
25	80	1.16988050092472	0.9882180787	1.746987048	0.1846120651
20	80	1.18008126121920	0.8981826731	1.793997903	0.1929013472
15	80	1.19403447554036	0.8046517087	1.836975656	0.2004794845
10	80	1.21180313276784	0.7073248165	1.875797463	0.2073248165
5	80	1.23347506322548	0.6058833284	1.910251982	0.2134000778
0	80	1.25915299598551	0.5000000000	1.940023633	0.2186496232
-5	80	1.28895662082548	0.3893540524	1.964688968	0.2229987872
-10	80	1.32300929626123	0.2736491578	1.983699416	0.2263508422
-15	80	1.36143736877171	0.1526363106	1.996378938	0.2285865839
-20	80	1.40435026146504	0.02614454659	2.001907158	0.2295613584
-25	80	1.45183894663131	-0.1058858323	1.999326361	0.2291062941
-30	80	1.50394931177029	-0.2433576436	1.987533207	0.2270268429
-35	80	1.56067489360141	-0.3859722463	1.965299498	0.2231064401
-40	80	1.62194066420578	-0.5331807396	1.931296858	0.2171108574
-45	80	1.68757397258606	-0.6841265150	1.884126515	0.2087934532

45	85	1.16359161982278	1.321213579	1.521213579	0.07184687847
40	85	1.15850066414756	1.243003066	1.585476573	0.07746916197
35	85	1.15716775479505	1.162026221	1.645471429	0.08271803168
30	85	1.15957884209479	1.078132354	1.701354610	0.08760717656
25	85	1.16574301258057	0.9911228191	1.753216284	0.09214448513
20	85	1.17569189650991	0.9007582518	1.801074247	0.09633151436
15	85	1.18948091269690	0.8067668707	1.844869547	0.1001631066
10	85	1.20718335596506	0.7088514229	1.884455278	0.1036264093
5	85	1.22889424087682	0.6067007012	1.919594595	0.1067007012
0	85	1.25471972233428	0.5000000000	1.949945135	0.1093560293
-5	85	1.28477855089798	0.3884470546	1.975056001	0.1115529454
-10	85	1.31918822298000	0.2717709276	1.994351389	0.1132410731
-15	85	1.35806418220682	0.1497555405	2.007130118	0.1143590671
-20	85	1.40149841888560	0.02227104914	2.012549505	0.1148332020
-25	85	1.44955940687159	-0.1106935188	2.009636477	0.1145783451
-30	85	1.50226587844931	-0.2489861635	1.997282089	0.1134974762
-35	85	1.55958013775822	-0.3922500141	1.974265079	0.1114837488
-40	85	1.62139515478369	-0.5398799142	1.939280624	0.1084230055
-45	85	1.68750594751806	-0.6909700746	1.890970075	0.1041963801

45	90	1.16275295545739	1.322190500	1.522190500	0.000000000
40	90	1.15751087996872	1.244033652	1.586704777	0.000000000
35	90	1.15603450856734	1.163074154	1.646968031	0.000000000
30	90	1.15831593068184	1.079157965	1.703131022	0.000000000
25	90	1.16436998894023	0.9920840207	1.755277588	0.000000000
20	90	1.17423348098249	0.9016115035	1.803418537	0.000000000
15	90	1.18796632961610	0.8074683110	1.847487359	0.000000000
10	90	1.20564543206869	0.7093581322	1.887328969	0.000000000
5	90	1.22736832135476	0.6069721977	1.922697814	0.000000000
0	90	1.25324238406149	0.5000000000	1.953242384	0.000000000
-5	90	1.28338609019344	0.3881455321	1.978502419	0.000000000
-10	90	1.31791495701203	0.2711464694	1.997892867	0.000000000
-15	90	1.35694072335058	0.1487978977	2.010704089	0.000000000
-20	90	1.40054928109793	0.02098393414	2.016085824	0.000000000
-25	90	1.44880146314370	-0.1122899560	2.013060048	0.000000000
-30	90	1.50170676817363	-0.2508533841	2.000516210	0.000000000
-35	90	1.55921697572279	-0.3943301164	1.977235773	0.000000000
-40	90	1.62121433551853	-0.5420964875	1.941922233	0.000000000
-45	90	1.68748314245462	-0.6932307732	1.893230773	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	1.68748313950282	-0.6932307711	1.893230771	1.461286244e-16
-90	40	1.75771327728089	-0.8464864887	1.829836316	1.648970368e-16
-90	35	1.83149174137238	-1.000270204	1.750500506	1.837301103e-16
-90	30	1.90828677268501	-1.152624823	1.654143386	2.023881699e-16
-90	25	1.98745792113298	-1.301248590	1.539936012	2.205893321e-16
-90	20	2.06827465701611	-1.443542433	1.407391595	2.380153020e-16
-90	15	2.14990941269609	-1.576653026	1.256437501	2.543166481e-16
-90	10	2.23146198960130	-1.697561068	1.087489308	2.691236128e-16
-90	5	2.31199360998650	-1.803195776	0.9015035203	2.820601335e-16
-90	-2.84217e-14	2.39053170612489	-1.890531706	0.7000000000	2.927557002e-16
-90	-5	2.46609259282886	-1.956708366	0.4850658684	3.008600037e-16
-90	-10	2.53771485258996	-1.999161262	0.2593304404	3.060589840e-16
-90	-15	2.60447710034021	-2.015731695	0.02591172390	3.080882768e-16
-90	-20	2.66550327119886	-2.004753755	-0.2116558109	3.067438668e-16
-90	-25	2.71998706304590	-1.965145456	-0.4495162045	3.018932492e-16
-90	-30	2.76720160954407	-1.896466891	-0.6836008048	2.934825508e-16
-90	-35	2.80651982875726	-1.798966455	-0.9097536419	2.815421911e-16
-90	-40	2.83742113952306	-1.673590697	-1.123859152	2.661880889e-16
-90	-45	2.85949206147406	-1.521966227	-1.321966227	2.476194468e-16

-85	45	1.68750594268592	-0.6909700712	1.890970071	0.1041963798
-85	40	1.75756923222377	-0.8433625280	1.827215002	0.1175289922
-85	35	1.83111339580415	-0.9961230910	1.747596666	0.1308938097
-85	30	1.90760544852593	-1.147313180	1.651076708	0.1441212286
-85	25	1.98641096603491	-1.294666881	1.536866911	0.1570130069
-85	20	2.06680974383161	-1.435635510	1.404513710	0.1693461638
-85	15	2.14798938678798	-1.567429255	1.253965999	0.1808766225
-85	10	2.22907231626852	-1.687104765	1.085645580	0.1913468729
-85	5	2.30914248421805	-1.791668070	0.9004949767	0.2004949767
-85	-2.84217e-14	2.38725512976956	-1.878170903	0.7000000000	0.2080629940
-85	-5	2.46245150400832	-1.943816925	0.4861937234	0.2138062766
-85	-10	2.53379200006552	-1.986087381	0.2616357184	0.2175044624
-85	-15	2.60037171447903	-2.002845028	0.02936469600	0.2189705665
-85	-20	2.66132908611260	-1.992422487	-0.2071675965	0.2180587123
-85	-25	2.71586287817397	-1.953706330	-0.4441820527	0.2146714875
-85	-30	2.76324396768529	-1.886200046	-0.6776732387	0.2087654529
-85	-35	2.80283541535610	-1.790074877	-0.9035276921	0.2003555904
-85	-40	2.83410039802546	-1.666187372	-1.117647024	0.1895168381
-85	-45	2.85660251140268	-1.516068809	-1.316068809	0.1763831657

-80	45	1.68757395618865	-0.6841265035	1.884126503	0.2087934511
-80	40	1.75713393126362	-0.8339288772	1.819299229	0.2352076514
-80	35	1.82997407152076	-0.9836307567	1.738849440	0.2616041318
-80	30	1.90555966095598	-1.131352415	1.641861756	0.2876514457
-80	25	1.98327515845649	-1.274936331	1.527666404	0.3129691642
-80	20	2.06243121298298	-1.411983095	1.395904935	0.3371342064
-80	15	2.14226130252219	-1.539889969	1.246586870	0.3596876392
-80	10	2.22195296790518	-1.655933246	1.080149200	0.3801492000
-80	5	2.30065590639579	-1.757340625	0.8974917144	0.3980300568
-80	-2.84217e-14	2.37750359068949	-1.841383969	0.7000000000	0.4128491659
-80	-5	2.45161192282058	-1.905454538	0.4895499973	0.4241465359
-80	-10	2.52210597401458	-1.947167964	0.2684982616	0.4315017384
-80	-15	2.58813227880514	-1.964454297	0.03965146123	0.4345497854
-80	-20	2.64886702092931	-1.955640185	-0.1937799334	0.4329956195
-80	-25	2.70352805015020	-1.919528192	-0.4282445252	0.4266281009
-80	-30	2.75138336574657	-1.855463326	-0.6599273854	0.4153317365
-80	-35	2.79176916549907	-1.763395238	-0.8848464077	0.3990976485
-80	-40	2.82410013951058	-1.643916671	-1.098959688	0.3780303535
-80	-45	2.84787725558362	-1.498280979	-1.298280979	0.3523508516

-75	45	1.68770041748696	-0.6725241110	1.872524111	0.3141768887
-75	40	1.75641542366853	-0.8180134054	1.805944562	0.3531606276
-75	35	1.82808083258657	-0.9626578122	1.724164026	0.3919179796
-75	30	1.90216469381858	-1.104685201	1.626465433	0.4299741037
-75	25	1.97808459491567	-1.242119902	1.512363852	0.4667996207
-75	20	2.05520180558143	-1.372804052	1.381644930	0.5018163334
-75	15	2.13283003698149	-1.494437364	1.234407881	0.5344078811
-75	10	2.21025480547856	-1.604634295	1.071103811	0.5639350597
-75	5	2.28673156856200	-1.700967925	0.8925597422	0.5897475780
-75	-2.84217e-14	2.36151088065330	-1.781044349	0.7000000000	0.6112039911
-75	-5	2.43382693005025	-1.842546489	0.4950537384	0.6276834400
-75	-10	2.50290826672914	-1.883302849	0.2797594045	0.6386040737
-75	-15	2.56798664214886	-1.901358018	0.05655805838	0.6434419416
-75	-20	2.62830069095080	-1.895040804	-0.1717235626	0.6417492493
-75	-25	2.68310192440707	-1.863036077	-0.4019018190	0.6331736084
-75	-30	2.73166316955805	-1.804458429	-0.6304796944	0.6174777751
-75	-35	2.77328630731146	-1.718922058	-0.8537059516	0.5945583735
-75	-40	2.80731470674775	-1.606607791	-1.067653821	0.5644638565
-75	-45	2.83315705609439	-1.468326205	-1.268326205	0.5274114172

-70	45	1.68790086649941	-0.6558594552	1.855859455	0.4206984367
-70	40	1.75542071136465	-0.7953238417	1.786905758	0.4714593221
-70	35	1.82544393484762	-0.9329818591	1.703384700	0.5215627430
-70	30	1.89745080902357	-1.067227457	1.604839194	0.5704241446
-70	25	1.97090408352018	-1.196336199	1.491014560	0.6174158836
-70	20	2.04523648062148	-1.318473935	1.361870384	0.6618703840
-70	15	2.11987444324002	-1.431737038	1.217607379	0.7030947822
-70	10	2.19422398663390	-1.534161985	1.058677641	0.7403744141
-70	5	2.26768692067079	-1.623763613	0.8858052401	0.7729867397
-70	-2.84217e-14	2.33965354724159	-1.698555174	0.7000000000	0.8002086416
-70	-5	2.40950500149113	-1.756580924	0.5025747508	0.8213282876
-70	-10	2.47660734619504	-1.795946333	0.2951627153	0.8356561245
-70	-15	2.54030700589326	-1.814856498	0.07973607066	0.8425388620
-70	-20	2.59993144210403	-1.811667919	-0.1413783141	0.8413783141
-70	-25	2.65478806729635	-1.784947875	-0.3654886928	0.8316530135
-70	-30	2.70416620833216	-1.733545929	-0.5895383431	0.8129442349
-70	-35	2.74733993478830	-1.656674446	-0.8101197047	0.7849653034
-70	-40	2.78358162431172	-1.554003134	-1.023513273	0.7475960020
-70	-45	2.81218611107080	-1.425759961	-1.225759961	0.7009193040

-65	45	1.68820621948158	-0.6337029582	1.833702958	0.5286543715
-65	40	1.75416802492681	-0.7654572845	1.761844741	0.5900924228
-65	35	1.82207973393134	-0.8943035652	1.676301867	0.6501744302
-65	30	1.89145509240052	-1.018873048	1.576921763	0.7082621342
-65	25	1.96181797896023	-1.137759254	1.463699682	0.7636996822
-65	20	2.03269538528279	-1.249519315	1.336772955	0.8158142548
-65	15	2.10363893772697	-1.352696931	1.196428647	0.8639267674
-65	10	2.17420104069318	-1.445805857	1.043098072	0.9073441722
-65	5	2.24394417809861	-1.527340953	0.8773693505	0.9453646119
-65	-2.84217e-14	2.31242646705532	-1.595770114	0.7000000000	0.9772736539
-65	-5	2.37918766115024	-1.649529666	0.5119405223	1.002342145
-65	-10	2.44374854604195	-1.687037971	0.3143661978	1.019832555
-65	-15	2.50559641730839	-1.706705110	0.1087151478	1.029003492
-65	-20	2.56417358593008	-1.706956954	-0.1032666397	1.029120929
-65	-25	2.61887015233514	-1.686277663	-0.3194780171	1.019478017
-65	-30	2.66901734679536	-1.643269766	-0.5374173764	0.9994231054
-65	-35	2.71388421661259	-1.576735923	-0.7541461484	0.9683978650
-65	-40	2.75269085149531	-1.485791920	-0.9662772676	0.9259899797
-65	-45	2.78461529272532	-1.369988724	-1.169988724	0.8719900629

-60	45	1.68865612818799	-0.6054849329	1.805484933	0.6382520236
-60	40	1.75268078645362	-0.7278982511	1.730328970	0.7089273858
-60	35	1.81802027935681	-0.8462666332	1.642666045	0.7772674031
-60	30	1.88423743642952	-0.9595240423	1.542656599	0.8426565987
-60	25	1.95093842483210	-1.066639253	1.430535881	0.9044995942
-60	20	2.01777216889111	-1.166608657	1.306595943	0.9622169567
-60	15	2.08441992353803	-1.258437540	1.171171919	1.015234387
-60	10	2.15059329812314	-1.341126070	1.024640201	1.062974632
-60	5	2.21601668159368	-1.413641781	0.8674219619	1.104841597
-60	-2.84217e-14	2.28041895401065	-1.474900745	0.7000000000	1.140209477
-60	-5	2.34351434776599	-1.523742423	0.5229454801	1.168408233
-60	-10	2.40498474720020	-1.558910962	0.3369584466	1.188712798
-60	-15	2.46446875835011	-1.579050546	0.1429200852	1.200340392
-60	-20	2.52154552682636	-1.582707686	-0.05804360422	1.202451843
-60	-25	2.57571830822309	-1.568348931	-0.2644869463	1.194161812
-60	-30	2.62639826057693	-1.534399345	-0.4745610093	1.174561009
-60	-35	2.67289276350087	-1.479310342	-0.6859280222	1.142755359
-60	-40	2.71440029898580	-1.401662531	-0.8956843282	1.097925374
-60	-45	2.75001126272689	-1.300304968	-1.100304968	1.039406558

-55	45	1.68931214492651	-0.5704956084	1.770495608	0.7495690946
-55	40	1.75099973609525	-0.6820348537	1.691845010	0.8276697150
-55	35	1.81330788569196	-0.7884727106	1.602198305	0.9021983048
-55	30	1.87587562781866	-0.8891092385	1.502002593	0.9726647602
-55	25	1.93841308953169	-0.9833249232	1.391685771	1.038635293
-55	20	2.00069676691002	-1.070556136	1.271635685	1.099715246
-55	15	2.06255666759856	-1.150263254	1.142186706	1.155526770
-55	10	2.12385395127064	-1.221890541	1.003615760	1.205680737
-55	5	2.18446966613403	-1.284835126	0.8561528398	1.249755010
-55	-2.84217e-14	2.24429727081958	-1.338420697	0.7000000000	1.287276031
-55	-5	2.30321169220794	-1.381854070	0.5353591025	1.317688405
-55	-10	2.36105638966441	-1.414199732	0.3624749407	1.340337082
-55	-15	2.41763024211185	-1.434359629	0.1816898996	1.354453194
-55	-20	2.47266649114155	-1.441054534	-0.006486073287	1.359141016
-55	-25	2.52580874874290	-1.432815605	-0.2012867184	1.353372057
-55	-30	2.57658770489597	-1.407995249	-0.4015815703	1.335992656
-55	-35	2.62439698798358	-1.364804056	-0.6057498576	1.305749858
-55	-40	2.66847436771928	-1.301387884	-0.8115439087	1.261345375
-55	-45	2.70788247627085	-1.215950665	-1.015950665	1.201521591

-50	45	1.69025364779128	-0.5278777285	1.727877728	0.8624918229
-50	40	1.74918414834639	-0.6271751006	1.645812211	0.9458122111
-50	35	1.80801028646743	-0.7205205577	1.554617695	1.024138350
-50	30	1.86647312462296	-0.8076192215	1.454954310	1.097222806
-50	25	1.92441241545929	-0.8882716336	1.347361694	1.164898216
-50	20	1.98174026664308	-0.9623248996	1.232242736	1.227036284
-50	15	2.03842259776367	-1.029631472	1.109863518	1.283513204
-50	10	2.09446853067564	-1.090016564	0.9803628200	1.334182312
-50	5	2.14990089576628	-1.143233307	0.8437642859	1.378836462
-50	-2.84217e-14	2.20475173988646	-1.188937819	0.7000000000	1.417187101
-50	-5	2.25904099748463	-1.226652339	0.5489374945	1.448833341
-50	-10	2.31276309588351	-1.255734964	0.3904165549	1.473236561
-50	-15	2.36587181419009	-1.275349228	0.2242966081	1.489694882
-50	-20	2.41825902402646	-1.284431817	0.05051993359	1.497316079
-50	-25	2.46972789186170	-1.281662365	-0.1308028049	1.494992233
-50	-30	2.51996650684281	-1.265445534	-0.3192804542	1.481384696
-50	-35	2.56851394949041	-1.233908320	-0.5140956761	1.454921832
-50	-40	2.61472065058779	-1.184927236	-0.7138218223	1.413821822
-50	-45	2.65770679873680	-1.116205728	-0.9162057279	1.356157630

-45	45	1.69159338637552	-0.4766418970	1.676641897	0.9766418970
-45	40	1.74731916514366	-0.5625804338	1.591610850	1.062580434
-45	35	1.80221759983385	-0.6420423584	1.499666668	1.142042358
-45	30	1.85616664866318	-0.7151463100	1.401565049	1.215146310
-45	25	1.90914093889231	-0.7820701080	1.297839110	1.282070108
-45	20	1.96119235181834	-0.8430070263	1.188814582	1.343007026
-45	15	2.01241791511391	-0.8981204854	1.074625255	1.398120485
-45	10	2.06294580083923	-0.9475151083	0.9552359686	1.447515108
-45	5	2.11291730751734	-0.9912073567	0.8304637387	1.491207357
-45	-2.84217e-14	2.16248151080345	-1.029105340	0.7000000000	1.529105340
-45	-5	2.21177918049955	-1.060979871	0.5634319573	1.560979871
-45	-10	2.26093001054371	-1.086435450	0.4202686271	1.586435450
-45	-15	2.31002628127112	-1.104882883	0.2699729275	1.604882883
-45	-20	2.35911047032187	-1.115497804	0.1120068859	1.615497804
-45	-25	2.40815380439805	-1.117178672	-0.05410279931	1.617178672
-45	-30	2.45702951512514	-1.108503391	-0.2286698659	1.608503391
-45	-35	2.50547375268659	-1.087686833	-0.4117102888	1.587686833
-45	-40	2.55303263758893	-1.052551235	-0.6027451686	1.552551235
-45	-45	2.59899558672952	-1.000530802	-0.8005308016	1.500530802


### -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	2.85949206339003	-1.521966229	-1.321966229	2.476194470e-16
-40	-90	2.87244148781563	-1.346369798	-1.500417840	2.694734664e-16
-35	-90	2.87610700214558	-1.149667205	-1.655968930	2.885229810e-16
-30	-90	2.87043826917759	-0.9352191346	-1.785872461	3.044315753e-16
-25	-90	2.85551481431600	-0.7067927072	-1.887975312	3.169355682e-16
-20	-90	2.83152930768181	-0.4684400596	-1.960767196	3.258500030e-16
-15	-90	2.79880426814254	-0.2243838481	-2.003437325	3.310755867e-16
-10	-90	2.75777729524833	0.02111699827	-2.015880461	3.325994314e-16
-5	-90	2.70898165083965	0.2638966921	-1.998673158	3.304921445e-16
-2.84217e-14	-90	2.65305891083897	0.5000000000	-1.953058911	3.249060103e-16
5	-90	2.59074747893445	0.7257985208	-1.880888903	3.160677334e-16
10	-90	2.52286856918098	0.9380915295	-1.784540527	3.042684603e-16
15	-90	2.45031198740918	1.134187409	-1.666819631	2.898518085e-16
20	-90	2.37401728339082	1.311961732	-1.530846523	2.731999054e-16
25	-90	2.29495958922036	1.469891832	-1.379939747	2.547191553e-16
30	-90	2.21412062367937	1.607060312	-1.217484707	2.348241509e-16
35	-90	2.13245622824393	1.723126644	-1.046805879	2.139220228e-16
40	-90	2.05091161006435	1.818300572	-0.8710894422	1.924029657e-16
45	-90	1.97036931570077	1.893261505	-0.6932615046	1.706253242e-16

-45	-85	2.85660251468843	-1.516068812	-1.316068812	0.1763831659
-40	-85	2.86901096874686	-1.340036879	-1.492870561	0.1918513147
-35	-85	2.87217241804137	-1.143196023	-1.646727126	0.2053120199
-30	-85	2.86606487431382	-0.9289367584	-1.774991066	0.2165336606
-25	-85	2.85079371102104	-0.7010278672	-1.875612573	0.2253369018
-20	-85	2.82657132725066	-0.4634937411	-1.947177297	0.2315980039
-15	-85	2.79373216133252	-0.2205029215	-1.988953510	0.2352529489
-10	-85	2.75271842377442	0.02375986886	-2.000891997	0.2362974312
-5	-85	2.70406425695282	0.2652153110	-1.983601275	0.2347846890
-2.84217e-14	-85	2.64840133478789	0.5000000000	-1.938323368	0.2308233854
5	-85	2.58645257964219	0.7245728677	-1.866879623	0.2245728677
10	-85	2.51901793952290	0.9358082627	-1.771591477	0.2162362351
15	-85	2.44696159195081	1.131070867	-1.655188537	0.2060522975
20	-85	2.37119639786471	1.308270029	-1.520703653	0.1942863947
25	-85	2.29266888848300	1.465892135	-1.371362369	0.1812207253
30	-85	2.21233498745819	1.603006011	-1.210462453	0.1671438067
35	-85	2.13113059801524	1.719239243	-1.041254094	0.1523399936
40	-85	2.04998477539370	1.814755373	-0.8668644397	0.1370828758
45	-85	1.96977058125031	1.890180473	-0.6901804729	0.1216250316

-45	-80	2.84787726636144	-1.498280986	-1.298280986	0.3523508529
-40	-80	2.85868043359538	-1.320987432	-1.470168314	0.3826592264
-35	-80	2.86035374453953	-1.123780867	-1.618999409	0.4089021641
-30	-80	2.85295772246643	-0.9101325844	-1.742421282	0.4306647702
-25	-80	2.83667193335892	-0.6838085343	-1.838685594	0.4476387658
-20	-80	2.81176535231702	-0.4487450406	-1.906655576	0.4596237075
-15	-80	2.77860630175573	-0.2089469987	-1.945826219	0.4665305487
-10	-80	2.73764945119713	0.03162138728	-1.956307111	0.4683786127
-5	-80	2.68942473206205	0.2691357932	-1.938789959	0.4652898662
-2.84217e-14	-80	2.63453836900818	0.5000000000	-1.894513811	0.4574827868
5	-80	2.57366685524793	0.7209273791	-1.825211498	0.4452629190
10	-80	2.50754837383703	0.9290111096	-1.733042906	0.4290111096
15	-80	2.43697192165935	1.121780757	-1.620517376	0.4091698226
20	-80	2.36277244698903	1.297245986	-1.490415345	0.3862293243
25	-80	2.28581367831262	1.453922697	-1.345693825	0.3607110155
30	-80	2.20697746587956	1.590843658	-1.189396638	0.3331516046
35	-80	2.12714292190229	1.707547837	-1.024557037	0.3040859354
40	-80	2.04718898854481	1.804065112	-0.8541242818	0.2740340422
45	-80	1.96795927000732	1.880865544	-0.6808655442	0.2434838522

-45	-75	2.83315708881343	-1.468326228	-1.268326228	0.5274114233
-40	-75	2.84133989953696	-1.289078124	-1.432140282	0.5713052667
-35	-75	2.84061156013014	-1.091424252	-1.572789373	0.6089920772
-30	-75	2.83116465100038	-0.8789427341	-1.688398876	0.6399695501
-25	-75	2.81328509793396	-0.6553657126	-1.777689766	0.6638949720
-20	-75	2.78732741463243	-0.4244676579	-1.839954015	0.6805786271
-15	-75	2.75370714764776	-0.1899765928	-1.875027700	0.6899765928
-10	-75	2.71289443888493	0.04450253344	-1.883254501	0.6921809574
-5	-75	2.66540652268094	0.2755530208	-1.865440712	0.6874077670
-2.84217e-14	-75	2.61180486872242	0.5000000000	-1.822809776	0.6759848421
5	-75	2.55269243906699	0.7149556182	-1.756953959	0.6583388292
10	-75	2.48870912360914	0.9178565463	-1.669782234	0.6349812360
15	-75	2.42052954466160	1.106494677	-1.563468950	0.6064946773
20	-75	2.34886522197257	1.279043724	-1.440405042	0.5735198024
25	-75	2.27445546871410	1.434078052	-1.303136846	0.5367389003
30	-75	2.19806494602148	1.570586158	-1.154309620	0.4968607651
35	-75	2.12048109195108	1.687978351	-0.9966089133	0.4546049882
40	-75	2.04249873481046	1.786079784	-0.8326902034	0.4106831022
45	-75	1.96490827002666	1.865113321	-0.6651133215	0.3657810121

-45	-70	2.81218611700646	-1.425759965	-1.225759965	0.7009193055
-40	-70	2.81681717200204	-1.244091763	-1.378527624	0.7565221863
-35	-70	2.81289487268369	-1.046153034	-1.508135373	0.8036955490
-30	-70	2.80077446707097	-0.8356080164	-1.613340943	0.8419872451
-25	-70	2.78086538168119	-0.6160893243	-1.693461280	0.8711486628
-20	-70	2.75361706427908	-0.3911133754	-1.748313877	0.8911133754
-15	-70	2.71949604720416	-0.1640163178	-1.778142635	0.9019701554
-10	-70	2.67898239202355	0.06208158756	-1.783558731	0.9039414531
-5	-70	2.63256532948808	0.2842980754	-1.765484280	0.8973628910
-2.84217e-14	-70	2.58074155289570	0.5000000000	-1.725103793	0.8826655958
5	-70	2.52401539378767	0.7068077749	-1.663823684	0.8603614601
10	-70	2.46290280310053	0.9025970789	-1.583241494	0.8310319416
15	-70	2.39793855392374	1.085501983	-1.485123149	0.7953197845
20	-70	2.32967677392630	1.253919694	-1.371377335	0.7539196937
25	-70	2.25870589599387	1.406522680	-1.244044160	0.7075742083
30	-70	2.18563842284612	1.542267499	-1.105260263	0.6570610009
35	-70	2.11113411670360	1.660418916	-0.9572499618	0.6031896568
40	-70	2.03587370326333	1.760554143	-0.8022699285	0.5467815378
45	-70	1.96056687372110	1.842578704	-0.6425787045	0.4886586856

-45	-65	2.78461509055790	-1.369988589	-1.169988589	0.8719899995
-40	-65	2.78489203145737	-1.185769502	-1.309021860	0.9368222786
-35	-65	2.77715508546328	-0.9880477753	-1.425152464	0.9909748688
-30	-65	2.76192350844123	-0.7804907940	-1.517875114	1.034212150
-25	-65	2.73973996182831	-0.5665304125	-1.587181850	1.066530412
-20	-65	2.71113129424691	-0.3493033921	-1.633441892	1.088101824
-15	-65	2.67660194938661	-0.1316397075	-1.657311480	1.099232396
-10	-65	2.63662468429336	0.08392953174	-1.659652882	1.100324210
-5	-65	2.59164008895308	0.2951475247	-1.641474506	1.091847494
-2.84217e-14	-65	2.54206026856852	0.5000000000	-1.603889017	1.074321092
5	-65	2.48827586011206	0.6966821980	-1.548087810	1.048300562
10	-65	2.43066651146873	0.8835694021	-1.475330176	1.014373120
15	-65	2.36960813575760	1.059193566	-1.386938801	0.9731555449
20	-65	2.30549055555067	1.222230219	-1.284311219	0.9252995177
25	-65	2.23872617100931	1.371494952	-1.168926956	0.8714949520
30	-65	2.16976015447339	1.505950344	-1.042357105	0.8124744615
35	-65	2.09908830542642	1.624727855	-0.9062778447	0.7490196601
40	-65	2.02725573236522	1.727152021	-0.7624628300	0.6819576174
45	-65	1.95486981470500	1.812779011	-0.6127790114	0.6121589065

-45	-60	2.75001120018706	-1.300304927	-1.100304927	1.039406534
-40	-60	2.74532283802568	-1.113862417	-1.223326334	1.110432977
-35	-60	2.73336516564666	-0.9172837122	-1.324090909	1.168609431
-30	-60	2.71482368094589	-0.7141060595	-1.402893381	1.214106060
-25	-60	2.69033786474161	-0.5074066497	-1.460390532	1.247302055
-20	-60	2.66049091992704	-0.2998142823	-1.497471680	1.268710866
-15	-60	2.62579010744120	-0.09354573854	-1.515142853	1.278913322
-10	-60	2.58667114161304	0.1095321974	-1.514452950	1.278515007
-5	-60	2.54350438125391	0.3078360614	-1.496443869	1.268117459
-2.84217e-14	-60	2.49660361557462	0.5000000000	-1.462122154	1.248301808
5	-60	2.44623747668821	0.6848153405	-1.412449008	1.219623003
10	-60	2.39264289306430	0.8611785038	-1.348345082	1.182612585
15	-60	2.33604408445342	1.028050208	-1.270710204	1.137790067
20	-60	2.27666263111870	1.184425297	-1.180443049	1.085674301
25	-60	2.21472951676328	1.329313400	-1.078468326	1.026799167
30	-60	2.15051506710760	1.461739575	-0.9657818081	0.9617395753
35	-60	2.08433894408273	1.580755573	-0.8434789175	0.8911279685
40	-60	2.01658945843967	1.685470027	-0.7127881634	0.8156736264
45	-60	1.94773731525497	1.775093383	-0.5750933830	0.7361755079

-45	-55	2.70788256612539	-1.215950722	-1.015950722	1.201521631
-40	-55	2.69786733440469	-1.028193407	-1.121229983	1.275238963
-35	-55	2.68156241509010	-0.8341921050	-1.205423795	1.334192105
-30	-55	2.65977760420424	-0.6371481687	-1.269598404	1.379127650
-25	-55	2.63321207886442	-0.4396115500	-1.315003472	1.410920620
-20	-55	2.60244570062102	-0.2435663688	-1.342931808	1.430476252
-15	-55	2.56794691467250	-0.05053614072	-1.354628849	1.438666608
-10	-55	2.53008351806018	0.1383116502	-1.351236563	1.436291304
-5	-55	2.48913488292292	0.3220687214	-1.333763820	1.424056758
-2.84217e-14	-55	2.44530655554739	0.5000000000	-1.303077864	1.402570220
5	-55	2.39874640058298	0.6714700223	-1.259911324	1.372344683
10	-55	2.34956118162705	0.8358817606	-1.204880123	1.333811421
15	-55	2.29782816430325	0.9926260128	-1.138505309	1.287335276
20	-55	2.24361109807245	1.141040755	-1.061245000	1.233237025
25	-55	2.18697878717496	1.280381704	-0.9735339640	1.171821097
30	-55	2.12802865043595	1.409806850	-0.8758316886	1.103409227
35	-55	2.06690410593970	1.528373281	-0.7686692519	1.028373281
40	-55	2.00381828798881	1.635052809	-0.6527032632	0.9471730218
45	-55	1.93908070706199	1.728770768	-0.5287707678	0.8603945543

-45	-50	2.65770631373470	-1.116205433	-0.9162054330	1.356157383
-40	-50	2.64231967683826	-0.9287450629	-1.002712062	1.428745063
-35	-50	2.62186826551827	-0.7393154124	-1.069925836	1.485144116
-30	-50	2.59721166604734	-0.5505247111	-1.119562174	1.526793949
-25	-50	2.56903022610586	-0.3642075610	-1.153299095	1.555102587
-20	-50	2.53784530850310	-0.1815977623	-1.172674461	1.571360450
-15	-50	2.50404212238744	-0.003485152493	-1.179032170	1.576695201
-10	-50	2.46789132641839	0.1696512927	-1.173500618	1.572053678
-5	-50	2.42956588860281	0.3375344623	-1.156989594	1.558199283
-2.84217e-14	-50	2.38916005173417	0.5000000000	-1.130202781	1.535722479
5	-50	2.34670849080337	0.6569248476	-1.093659216	1.505058786
10	-50	2.30220172662729	0.8081697141	-1.047717297	1.466508939
15	-50	2.25559391441330	0.9535299290	-0.9925967378	1.420257298
20	-50	2.20681330611386	1.092691369	-0.9284061543	1.366395003
25	-50	2.15579263923494	1.225196722	-0.8551893892	1.304958843
30	-50	2.10247411919475	1.350412404	-0.7729574912	1.235958088
35	-50	2.04683012023664	1.467504031	-0.6817389528	1.159416646
40	-50	1.98890164368869	1.575431345	-0.5816491690	1.075431345
45	-50	1.92881611132431	1.672952430	-0.4729524298	0.9842239512

-45	-45	2.59899574407899	-1.000530892	-0.8005308925	1.500530892
-40	-45	2.57857927235033	-0.8157809420	-0.8680866648	1.568086665
-35	-45	2.55453807524572	-0.6334807472	-0.9187782698	1.618778270
-30	-45	2.52767476677426	-0.4553712612	-0.9547515644	1.654751564
-25	-45	2.49857094397485	-0.2824165299	-0.9778976631	1.677897663
-20	-45	2.46762956046502	-0.1150407995	-0.9898107087	1.689810709
-15	-45	2.43511144433146	0.04668747535	-0.9917853737	1.691785374
-10	-45	2.40116613888944	0.2029180481	-0.9848354727	1.684835473
-5	-45	2.36585575860034	0.3539183780	-0.9697205799	1.669720580
-2.84217e-14	-45	2.32916897106877	0.5000000000	-0.9469711740	1.646971174
5	-45	2.29104168088223	0.6414621680	-0.9169199792	1.616919979
10	-45	2.25136986155093	0.7785485528	-0.8797273431	1.579727343
15	-45	2.21001164057624	0.9114086682	-0.8353980525	1.535398052
20	-45	2.16679859487358	1.040060616	-0.7838043473	1.483804347
25	-45	2.12154856241796	1.164353625	-0.7247109467	1.424710947
30	-45	2.07407547249397	1.283926843	-0.6578011214	1.357801121
35	-45	2.02421357870866	1.398169083	-0.5827183851	1.282718385
40	-45	1.97182967102029	1.506172635	-0.4991098530	1.199109853
45	-45	1.91686958858381	1.606705173	-0.4067051730	1.106705173