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path: root/test/recoverML/h.t2.ah1.gp
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# N_patches = 5
# origin = 0.5 0.7 0

### +z patch
# N_rho = 19
# N_sigma = 19
# ghosted_gfn=-3
# dpx = dsigma = dnu
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-45	2.45707970866597	-0.9185956312	-0.7185956312	1.418595631
-40	-45	2.43472653653106	-0.7423766879	-0.7806068812	1.480606881
-35	-45	2.40903745562385	-0.5689202881	-0.8265763788	1.526576379
-30	-45	2.38081956495878	-0.3998652122	-0.8586122675	1.558612267
-25	-45	2.35064490343711	-0.2360941393	-0.8785589758	1.578558976
-20	-45	2.31889805394155	-0.07797042796	-0.8879606999	1.587960700
-15	-45	2.28581616817828	0.07447980441	-0.8880629896	1.588062990
-10	-45	2.25152820174903	0.2214318568	-0.8798384463	1.579838446
-5	-45	2.21608112369455	0.3631663305	-0.8640159995	1.564016000
0	-45	2.17944985081656	0.5000000000	-0.8411037688	1.541103769
5	-45	2.14155714742829	0.6322321281	-0.8114201401	1.511420140
10	-45	2.10228696007277	0.7601034154	-0.7751197707	1.475119771
15	-45	2.06148622285814	0.8837596535	-0.7322105249	1.432210525
20	-45	2.01898430092580	1.003218854	-0.6825824375	1.382582437
25	-45	1.97459467900569	1.118335661	-0.6260251047	1.326025105
30	-45	1.92812711253469	1.228763548	-0.5622554918	1.262255492
35	-45	1.87940442372279	1.333915435	-0.4909546664	1.190954666
40	-45	1.82829032151652	1.432928294	-0.4118206460	1.111820646
45	-45	1.77471813253469	1.524633992	-0.3246339916	1.024633992

-45	-40	2.40911365607538	-0.9650311660	-0.5293071110	1.465031166
-40	-40	2.38517861459697	-0.7897047241	-0.5897047241	1.537010238
-35	-40	2.35776843624948	-0.6144796252	-0.6355460937	1.591641855
-30	-40	2.32767156446175	-0.4415006600	-0.6683424062	1.630726979
-25	-40	2.29547443959628	-0.2721849072	-0.6895119660	1.655955877
-20	-40	2.26159767053428	-0.1074049929	-0.7003158982	1.668831502
-15	-40	2.22632497255598	0.05235514679	-0.7018278160	1.670633336
-10	-40	2.18983668601916	0.2068713234	-0.6949320939	1.662415334
-5	-40	2.15223638913501	0.3560795392	-0.6803343281	1.645018395
0	-40	2.11355570341972	0.5000000000	-0.6585674185	1.619077602
5	-40	2.07377996086152	0.6386740644	-0.6300163883	1.585051809
10	-40	2.03286250417846	0.7721163178	-0.5949391010	1.543248326
15	-40	1.99072570402091	0.9002731526	-0.5534803770	1.493839743
20	-40	1.94728328270327	1.022988507	-0.5057015156	1.436899113
25	-40	1.90244916792896	1.139973379	-0.4516032756	1.372427341
30	-40	1.85614822658731	1.250778077	-0.3911532234	1.300385774
35	-40	1.80833261910125	1.354770057	-0.3243209335	1.220738152
40	-40	1.75900171284494	1.451120727	-0.2511207273	1.133501544
45	-40	1.70823353970680	1.538811668	-0.1716664871	1.038811668

-45	-35	2.35991622603876	-0.9954488807	-0.3471245793	1.495448881
-40	-35	2.33387243521431	-0.8220103239	-0.4031843657	1.575510553
-35	-35	2.30436513927677	-0.6465203116	-0.4465203116	1.637400698
-30	-35	2.27215116624740	-0.4714242775	-0.4781385378	1.682556204
-25	-35	2.23782011015937	-0.2985234608	-0.4990627581	1.712439088
-20	-35	2.20182044324183	-0.1291004002	-0.5102661180	1.728439144
-15	-35	2.16447886027946	0.03596243302	-0.5126276607	1.731811777
-10	-35	2.12602465696276	0.1960739263	-0.5069130149	1.723650416
-5	-35	2.08661239904311	0.3508423089	-0.4937699753	1.704880211
0	-35	2.04632880919161	0.5000000000	-0.4737259860	1.676254427
5	-35	2.00521979739672	0.6433394891	-0.4472045259	1.638377857
10	-35	1.96330551849295	0.7806645425	-0.4145397466	1.591727718
15	-35	1.92058069252986	0.9117488085	-0.3759861485	1.536667473
20	-35	1.87703308211526	1.036302707	-0.3317415067	1.473479576
25	-35	1.83265797648905	1.153949074	-0.2819698724	1.402398316
30	-35	1.78746629786183	1.264204505	-0.2268234270	1.323641030
35	-35	1.74150209739830	1.366471851	-0.1664718509	1.237450047
40	-35	1.69484699851794	1.460037573	-0.1011272094	1.144128227
45	-35	1.64764914713304	1.544094297	-0.03108269731	1.044094297

-45	-30	2.31017937135343	-1.012367405	-0.1731657287	1.512367405
-40	-30	2.28159734093304	-0.8412572646	-0.2228644776	1.598448164
-35	-30	2.24967600525413	-0.6664848883	-0.2618153583	1.665913068
-30	-30	2.21514445936407	-0.4906427182	-0.2906427182	1.715843520
-25	-30	2.17859578296874	-0.3157829943	-0.3100467430	1.749452277
-20	-30	2.14050189017189	-0.1434917595	-0.3207431971	1.767979079
-15	-30	2.10122802309011	0.02502870079	-0.3234209141	1.772617021
-10	-30	2.06104896393568	0.1888768553	-0.3187155173	1.764467034
-5	-30	2.02016551403293	0.3473747619	-0.3071958897	1.744514454
0	-30	1.97871565143969	0.5000000000	-0.2893578257	1.713618021
5	-30	1.93679981795745	0.6463268882	-0.2656321733	1.672523986
10	-30	1.89449424300253	0.7859810790	-0.2363924470	1.621879294
15	-30	1.85185185857576	0.9186011578	-0.2019601400	1.562240789
20	-30	1.80892056873617	1.043809601	-0.1626216931	1.494104600
25	-30	1.76575308138825	1.161192566	-0.1186434412	1.417932033
30	-30	1.72241196930804	1.270286050	-0.07028604973	1.334174574
35	-30	1.67899159996984	1.370577952	-0.01782776879	1.243314167
40	-30	1.63561101233112	1.461508463	0.03842520089	1.145881165
45	-30	1.59243397892851	1.542492750	0.09811653035	1.042492750

-45	-25	2.26033331355598	-1.017910866	-0.007813461092	1.517910866
-40	-25	2.22889196641217	-0.8492078173	-0.04978693146	1.607923263
-35	-25	2.19432814752997	-0.6757590116	-0.08300418279	1.679157889
-30	-25	2.15734911320475	-0.5001963018	-0.1078271027	1.732390812
-25	-25	2.11855459813495	-0.3247143674	-0.1247143674	1.768605668
-20	-25	2.07844087310732	-0.1511034296	-0.1341740255	1.788891971
-15	-25	2.03740393679903	0.01920186455	-0.1367252409	1.794363070
-10	-25	1.99575703340037	0.1850611434	-0.1328753779	1.786107012
-5	-25	1.95374427097206	0.3455690851	-0.1231045641	1.765153434
0	-25	1.91155029599205	0.5000000000	-0.1078560633	1.732452919
5	-25	1.86931723644161	0.6477575010	-0.08753579570	1.688875964
10	-25	1.82716210084490	0.7883338669	-0.06251682935	1.635222618
15	-25	1.78518014600423	0.9212769349	-0.03314145553	1.572226925
20	-25	1.74345628399228	1.046164378	0.0002707147152	1.500574295
25	-25	1.70207875188785	1.162587975	0.03741202502	1.420924498
30	-25	1.66113065969025	1.270138098	0.07798367462	1.333918314
35	-25	1.62071938963056	1.368409508	0.1216771714	1.240217308
40	-25	1.58096406998584	1.456999762	0.1681724298	1.140507905
45	-25	1.54201230641624	1.535527469	0.2171256110	1.035527469

-45	-20	2.21061556977450	-1.013809821	0.1490182849	1.513809821
-40	-20	2.17610272493094	-0.8473798994	0.1155566760	1.605744836
-35	-20	2.13876361976325	-0.6756059179	0.08891608843	1.678939248
-30	-20	2.09929405507759	-0.5010923771	0.06889641099	1.733942860
-25	-20	2.05829889180524	-0.3260901209	0.05520635448	1.771555981
-20	-20	2.01629464687335	-0.1525043558	0.04749564421	1.792740984
-15	-20	1.97370493778410	0.01808266590	0.04538498364	1.798539976
-10	-20	1.93087396095046	0.1843707289	0.04848507431	1.790022547
-5	-20	1.88808111248797	0.3452981488	0.05640954221	1.768250250
0	-20	1.84554470936168	0.5000000000	0.06878653399	1.734244745
5	-20	1.80343696772631	0.6477664469	0.08526220299	1.688978216
10	-20	1.76190142339018	0.7880082663	0.1054997384	1.633376045
15	-20	1.72105540179452	0.9202281786	0.1291807816	1.568312913
20	-20	1.68100109616320	1.043998140	0.1560018601	1.494622606
25	-20	1.64183132307155	1.158942509	0.1856711975	1.413106771
30	-20	1.60363323660127	1.264726125	0.2179052269	1.324544503
35	-20	1.56650004501944	1.361052015	0.2524222658	1.229709718
40	-20	1.53052697437529	1.447658057	0.2889411551	1.129374894
45	-20	1.49582316344893	1.524326358	0.3271756956	1.024326358

-45	-15	2.16111880246334	-1.001429920	0.2976930655	1.501429920
-40	-15	2.12343240082151	-0.8370404777	0.2730436495	1.593422793
-35	-15	2.08328606593208	-0.6671402087	0.2533691666	1.666848963
-30	-15	2.04137267363290	-0.4942678590	0.2385586808	1.722122448
-25	-15	1.99830037077637	-0.3206661080	0.2284297458	1.759924148
-20	-15	1.95459826328466	-0.1482779415	0.2227479213	1.781129006
-15	-15	1.91071172436659	0.02124670681	0.2212467068	1.786731614
-10	-15	1.86700969815217	0.1865273579	0.2236421507	1.777791696
-5	-15	1.82379091648952	0.3464232910	0.2296447162	1.755389817
0	-15	1.78129153686786	0.5000000000	0.2389678254	1.720595500
5	-15	1.73970206580625	0.6464958047	0.2513312127	1.674454710
10	-15	1.69917807485771	0.7852935585	0.2664635196	1.617980172
15	-15	1.65983921276869	0.9158939725	0.2841060275	1.552137436
20	-15	1.62178516240370	1.037894444	0.3040105251	1.477852840
25	-15	1.58509681581965	1.150970822	0.3259398641	1.396011432
30	-15	1.54984500203342	1.254865141	0.3496658687	1.307464778
35	-15	1.51609493317529	1.349377042	0.3749679486	1.213036130
40	-15	1.48390687796859	1.434356827	0.4016323831	1.113523106
45	-15	1.45334462778220	1.509706225	0.4294500324	1.009706225

-45	-10	2.11184369664237	-0.9818254828	0.4387141867	1.481825483
-40	-10	2.07098163065683	-0.8192210912	0.4227811058	1.572186475
-35	-10	2.02809335015976	-0.6513188484	0.4100737063	1.644253718
-30	-10	1.98387033524078	-0.4805684048	0.4005272615	1.698394297
-25	-10	1.93892223240999	-0.3091569064	0.3940299141	1.735242586
-20	-10	1.89378219107195	-0.1389994316	0.3904339151	1.755636509
-15	-10	1.84890486498089	0.02826150506	0.3895671760	1.760552031
-10	-10	1.80466896434764	0.1912430313	0.3912430313	1.751047783
-5	-10	1.76137864259164	0.3488006456	0.3952687974	1.728216529
0	-10	1.71927337721257	0.5000000000	0.4014513111	1.693153751
5	-10	1.67854562661331	0.6440888455	0.4095995063	1.646943040
10	-10	1.63934640120698	0.7804722836	0.4195277164	1.590637363
15	-10	1.60178404040349	0.9086868972	0.4310589893	1.525240265
20	-10	1.56594122587444	1.028379429	0.4440242617	1.451710551
25	-10	1.53187674420231	1.139287449	0.4582634047	1.370956358
30	-10	1.49963462782742	1.241225023	0.4736244750	1.283839400
35	-10	1.46924512648809	1.334068909	0.4899639117	1.191173849
40	-10	1.44073101731004	1.417749688	0.5071456291	1.093731487
45	-10	1.41411124518262	1.492244872	0.5250404576	0.9922448721

-45	-5	2.06272567962583	-0.9557842360	0.5726353828	1.455784236
-40	-5	2.01877634631934	-0.7947398834	0.5650040379	1.543010908
-35	-5	1.97329971358941	-0.6289427550	0.5589422601	1.612297345
-30	-5	1.92698515479465	-0.4607388671	0.5544146180	1.664048531
-25	-5	1.88043745965309	-0.2922207008	0.5513635169	1.698922775
-20	-5	1.83418278603582	-0.1252181281	0.5497143632	1.717772689
-15	-5	1.78866539627262	0.03870358030	0.5493811200	1.721581676
-10	-5	1.74425381342574	0.1982315163	0.5502706663	1.711414115
-5	-5	1.70124539979143	0.3522866566	0.5522866566	1.688371241
0	-5	1.65986700995263	0.5000000000	0.5553330579	1.653550715
5	-5	1.62029570785376	0.6406847574	0.5593152426	1.608034135
10	-5	1.58266336966512	0.7738121721	0.5641418296	1.552865993
15	-5	1.54705582793873	0.8989853642	0.5697264360	1.489033651
20	-5	1.51353174905797	1.015917767	0.5759872328	1.417472415
25	-5	1.48212245325626	1.124412199	0.5828477556	1.339056281
30	-5	1.45284272702964	1.224345215	0.5902364853	1.254602714
35	-5	1.42568914426255	1.315649756	0.5980872053	1.164868574
40	-5	1.40065228310441	1.398306728	0.6063381127	1.070560270
45	-5	1.37771383553780	1.472331951	0.6149319771	0.9723319505

-45	0	2.01365355124536	-0.9238680810	0.7000000000	1.423868081
-40	0	1.96678823200239	-0.7642271064	0.7000000000	1.506647196
-35	0	1.91896295167307	-0.6006719313	0.7000000000	1.571922425
-30	0	1.87085559145438	-0.4354277957	0.7000000000	1.620208469
-25	0	1.82305400790789	-0.2704559159	0.7000000000	1.652248044
-20	0	1.77605897310752	-0.1074479445	0.7000000000	1.668949511
-15	0	1.73028683259702	0.05216881423	0.7000000000	1.671328738
-10	0	1.68607789858805	0.2072156455	0.7000000000	1.660462587
-5	0	1.64370116299117	0.3567420043	0.7000000000	1.637446384
0	0	1.60335463695131	0.5000000000	0.7000000000	1.603354637
5	0	1.56518661441885	0.6364150019	0.7000000000	1.559230607
10	0	1.52929793544860	0.7655597996	0.7000000000	1.506064463
15	0	1.49574582505962	0.8871275062	0.7000000000	1.444779522
20	0	1.46456285498747	1.000909998	0.7000000000	1.376238908
25	0	1.43575258002671	1.106775260	0.7000000000	1.301233744
30	0	1.40930392679604	1.204651963	0.7000000000	1.220493002
35	0	1.38518717161258	1.294510722	0.7000000000	1.134678903
40	0	1.36336932253282	1.376356908	0.7000000000	1.044401493
45	0	1.34380722400701	1.450215201	0.7000000000	0.9502152007

-45	5	1.96449388998661	-0.8864564082	0.8212992182	1.386456408
-40	5	1.91496308093263	-0.7281593653	0.8280539491	1.463663336
-35	5	1.86511194325288	-0.5670475453	0.8333241340	1.523901825
-30	5	1.81558607021504	-0.4051985169	0.8371690856	1.567849822
-25	5	1.76693818876473	-0.2444039167	0.8396650959	1.596379351
-20	5	1.71962349411051	-0.08616828720	0.8408991044	1.610484133
-15	5	1.67401062811530	0.06827302027	0.8409640989	1.611227023
-10	5	1.63039083190164	0.2179306329	0.8399551665	1.599694873
-5	5	1.58898413989917	0.3620339194	0.8379660806	1.576959517
0	5	1.54994470533753	0.5000000000	0.8350865820	1.544046698
5	5	1.51338008755264	0.6314016382	0.8314016382	1.501927598
10	5	1.47935376781678	0.7559388662	0.8269899210	1.451501439
15	5	1.44789329137649	0.8734113674	0.8219233437	1.393590195
20	5	1.41900464577070	0.9836963007	0.8162675926	1.328944664
25	5	1.39266869853426	1.086725693	0.8100815006	1.258237310
30	5	1.36885532116975	1.182471532	0.8034181941	1.182075368
35	5	1.34752129202771	1.270929215	0.7963251080	1.101001022
40	5	1.32862040075612	1.352109163	0.7888451014	1.015504156
45	5	1.31209919815963	1.426023924	0.7810165955	0.9260239244

-45	10	1.91509568472229	-0.8437725491	0.9369433563	1.343772549
-40	10	1.86323139424350	-0.6868836095	0.9494097191	1.414472806
-35	10	1.81175407044263	-0.5285062124	0.9589994897	1.468859097
-30	10	1.76125532300429	-0.3705363913	0.9658681595	1.507813260
-25	10	1.71222363849212	-0.2145503617	0.9701960940	1.532358196
-20	10	1.66504815165262	-0.06182005907	0.9721761985	1.543587926
-15	10	1.62002707331358	0.08665848751	0.9720040327	1.542611525
-10	10	1.57738134392332	0.2301291861	0.9698708139	1.530513441
-5	10	1.53726570454397	0.3680388325	0.9659580487	1.508323047
0	10	1.49977724084211	0.5000000000	0.9604335848	1.476992255
5	10	1.46497517325510	0.6257556411	0.9534512657	1.437393555
10	10	1.43288396867535	0.7451490658	0.9451490658	1.390309440
15	10	1.40350104364695	0.8580960181	0.9356491136	1.336432534
20	10	1.37680859328752	0.9645623518	0.9250592744	1.276374572
25	10	1.35277299085745	1.064543327	0.9134732695	1.210667072
30	10	1.33135463866298	1.158049204	0.9009730235	1.139774655
35	10	1.31251002929988	1.245092693	0.8876300064	1.064102644
40	10	1.29619232192614	1.325678134	0.8735066100	0.9840048831
45	10	1.28235446903063	1.399794589	0.8586580631	0.8997945886

-45	15	1.86530385210570	-0.7959134917	1.047238974	1.295913492
-40	15	1.81152110909239	-0.6406424090	1.064240671	1.359364689
-35	15	1.75889051674749	-0.4854008426	1.077084429	1.407298249
-30	15	1.70792387054311	-0.3318587938	1.086067010	1.440821696
-25	15	1.65901755249739	-0.1813287420	1.091504371	1.461114202
-20	15	1.61246671643937	-0.03480381275	1.093714200	1.469361399
-15	15	1.56847549367501	0.1069983775	1.093001623	1.466702023
-10	15	1.52717724430201	0.2435855388	1.089651360	1.454198672
-5	15	1.48865087069978	0.3746445661	1.083922738	1.432819166
0	15	1.45292826156446	0.5000000000	1.076045505	1.403420932
5	15	1.42001545642490	0.6195758234	1.066221680	1.366757916
10	15	1.38989603982525	0.7333648209	1.054624772	1.323477666
15	15	1.36253993209657	0.8414018302	1.041401830	1.274128976
20	15	1.33791120470740	0.9437425009	1.026676287	1.219172501
25	15	1.31597046178023	1.040445457	1.010550173	1.158989023
30	15	1.29668044767698	1.131559200	0.9931076447	1.093892622
35	15	1.28000767738192	1.217111515	0.9744178561	1.024141381
40	15	1.26591948816763	1.297098884	0.9545371185	0.9499454588
45	15	1.25439140618355	1.371484153	0.9335134749	0.8714841527

-45	20	1.81496936878255	-0.7428748320	1.152369444	1.242874832
-40	20	1.75977328368844	-0.5896007448	1.172628307	1.298535602
-35	20	1.70653813134958	-0.4380262072	1.187589179	1.339640258
-30	20	1.65566415894564	-0.2895381614	1.197736651	1.367520210
-25	20	1.60742472618687	-0.1451335575	1.203550409	1.383493379
-20	20	1.56199441980257	-0.005485725620	1.205485726	1.388810617
-15	20	1.51946738157197	0.1289933436	1.203958898	1.384615692
-10	20	1.47987500823345	0.2580930296	1.199338991	1.371922603
-5	20	1.44321127577325	0.3817490125	1.191947618	1.351614972
0	20	1.40943934597060	0.5000000000	1.182056647	1.324439753
5	20	1.37851139186996	0.6129497365	1.169893360	1.291021396
10	20	1.35037185675800	0.7207378076	1.155642076	1.251866315
15	20	1.32496750615535	0.8235158387	1.139449489	1.207377547
20	20	1.30225009637566	0.9214284165	1.121428416	1.157865058
25	20	1.28218337134852	1.014599226	1.101663574	1.103561601
30	20	1.26474044400162	1.103117993	1.080214592	1.044631007
35	20	1.24990854369663	1.187032390	1.057121748	0.9811839380
40	20	1.23768479256839	1.266338644	1.032409222	0.9132868320
45	20	1.22808012842260	1.340978316	1.006091075	0.8409783160

-45	25	1.76395881876356	-0.6845740810	1.252375966	1.184574081
-40	25	1.70794777771722	-0.5338663910	1.274544187	1.232113986
-35	25	1.65472949634549	-0.3866327123	1.290458687	1.266242741
-30	25	1.60455490658625	-0.2439082871	1.300831332	1.288486950
-25	25	1.55754575671829	-0.1063239364	1.306323936	1.300265878
-20	25	1.51373342959043	0.02579982416	1.307530926	1.302854275
-15	25	1.47308816181653	0.1523723015	1.304970877	1.297364233
-10	25	1.43553342182909	0.2734667863	1.299081161	1.284733696
-5	25	1.40097524817423	0.3892619201	1.290225209	1.265742046
0	25	1.36930911775775	0.5000000000	1.278695039	1.241015516
5	25	1.34043627133582	0.6059528633	1.264720383	1.211046769
10	25	1.31426614208410	0.7073967267	1.248473532	1.176205286
15	25	1.29072722379990	0.8045931302	1.230078512	1.136757038
20	25	1.26976533832585	0.8977734355	1.209615297	1.092873532
25	25	1.25135113239588	0.9871279968	1.187127997	1.044649360
30	25	1.23547526485321	1.072794539	1.162628138	0.9921092439
35	25	1.22215359741915	1.154851056	1.136102221	0.9352242310
40	25	1.21142513490221	1.233307978	1.107516716	0.8739224178
45	25	1.20334760790262	1.308099584	1.076823024	0.8080995835

-45	30	1.71217183691441	-0.6208795779	1.347140126	1.120879578
-40	30	1.65604158647574	-0.4735187575	1.369838593	1.160194477
-35	30	1.60353203384797	-0.3314512316	1.385566159	1.187435419
-30	30	1.55469981026455	-0.1952828921	1.395282892	1.204265295
-25	30	1.50949225687327	-0.06523478231	1.399835072	1.212149902
-20	30	1.46778282004941	0.05874547285	1.399943006	1.212336850
-15	30	1.42940946033069	0.1768896755	1.396205990	1.205864148
-10	30	1.39419029080705	0.2895416969	1.389107007	1.193568348
-5	30	1.36194718472806	0.3971037215	1.379027336	1.176109845
0	30	1.33251353451540	0.5000000000	1.366256767	1.153990572
5	30	1.30574585907919	0.5986502201	1.351006986	1.127577176
10	30	1.28152464940486	0.6934509980	1.333419714	1.097115128
15	30	1.25976365692210	0.7847628026	1.313578564	1.062749248
20	30	1.24040626293568	0.8728990908	1.291513729	1.024531832
25	30	1.22343272639859	0.9581187665	1.267211343	0.9824388652
30	30	1.20885646832019	1.040617048	1.240617048	0.9363761940
35	30	1.19672723466114	1.120517902	1.211642846	0.8861914047
40	30	1.18712973564442	1.197864761	1.180172309	0.8316828355
45	30	1.18017883454442	1.272608406	1.146065671	0.7726084061

-45	35	1.65955895274036	-0.5516413892	1.436367228	1.051641389
-40	35	1.60410333730386	-0.4086362822	1.458234125	1.082870554
-35	35	1.55304936777039	-0.2727085499	1.472708550	1.103542175
-30	35	1.50622446431347	-0.1439637617	1.480996051	1.115377953
-25	35	1.46337987787748	-0.02217922223	1.484104274	1.119816956
-20	35	1.42422941269359	0.09307158938	1.482850667	1.118026620
-15	35	1.38848142285291	0.2023267110	1.477882848	1.110931839
-10	35	1.35585772552886	0.3061732192	1.469700544	1.099246298
-5	35	1.32610560607456	0.4052057534	1.458677106	1.083503197
0	35	1.29900622946042	0.5000000000	1.445079364	1.064083608
5	35	1.27437961841399	0.5910967085	1.429084197	1.041240143
10	35	1.25208375310324	0.6789917618	1.410789582	1.015112725
15	35	1.23202096288370	0.7641300964	1.390227438	0.9857469397
20	35	1.21413441728926	0.8469004251	1.367368564	0.9531010848
25	35	1.19841447424852	0.9276313673	1.342131223	0.9170584266
30	35	1.18489678702895	1.006584915	1.314383668	0.8774308110
35	35	1.17366316422294	1.083947671	1.283947671	0.8339637028
40	35	1.16484550298089	1.159820887	1.250603935	0.7863439127
45	35	1.15862270552493	1.234204464	1.214095500	0.7342044641

-45	40	1.60613595064102	-0.4767240406	1.519568782	0.9767240406
-40	40	1.55224909056985	-0.3393262345	1.539326234	1.000270055
-35	40	1.50344166760255	-0.2106529549	1.551616985	1.014917601
-30	40	1.45929148125027	-0.09025676721	1.557857460	1.022354710
-25	40	1.41934692995199	0.02253954192	1.559168592	1.023917257
-20	40	1.38317069433740	0.1285171334	1.556419309	1.020640788
-15	40	1.35035536131392	0.2284854480	1.550264777	1.013306103
-10	40	1.32054194165125	0.3232339817	1.541188910	1.002489906
-5	40	1.29341915192603	0.4135088128	1.529532883	0.9885987931
0	40	1.26872938023976	0.5000000000	1.515523526	0.9719030916
5	40	1.24626647779270	0.5833380788	1.499291569	0.9525585994
10	40	1.22587294247876	0.6640937498	1.480884493	0.9306219000
15	40	1.20744377746833	0.7427794680	1.460279067	0.9060653098
20	40	1.19092251273817	0.8198501174	1.437384792	0.8787809751
25	40	1.17630502706357	0.8957025060	1.412048839	0.8485867626
30	40	1.16364307006469	0.9706723815	1.384057916	0.8152284784
35	40	1.15304543483450	1.045026231	1.353136798	0.7783781252
40	40	1.14468516636719	1.118949817	1.318949817	0.7376356679
45	40	1.13880419894404	1.192530068	1.281101724	0.6925300677

-45	45	1.55201824165163	-0.3960581496	1.596058150	0.8960581496
-40	45	1.50067315223829	-0.2657538999	1.612589961	0.9125899612
-35	45	1.45492580634786	-0.1455689215	1.621967968	0.9219679684
-30	45	1.41409528970014	-0.03447778096	1.625742672	0.9257426721
-25	45	1.37754272245139	0.06862853972	1.625079082	0.9250790819
-20	45	1.34469870983720	0.1648424938	1.620837680	0.9208376801
-15	45	1.31506738753137	0.2551912793	1.613638584	0.9136385839
-10	45	1.28823125441262	0.3406148374	1.603918175	0.9039181752
-5	45	1.26384111918121	0.4219631375	1.591965420	0.8919654205
0	45	1.24161572373720	0.5000000000	1.577954898	0.8779548979
5	45	1.22133375962674	0.5754122122	1.561965530	0.8619655302
10	45	1.20282872658431	0.6488188177	1.543993455	0.8439934552
15	45	1.18599009145860	0.7207801059	1.523962573	0.8239625725
20	45	1.17076003730276	0.7918044106	1.501726029	0.8017260289
25	45	1.15713535039525	0.8623518586	1.477066069	0.7770660685
30	45	1.14517529538395	0.9328355770	1.449693211	0.7496932107
35	45	1.13500581555259	1.003616389	1.419238741	0.7192387415
40	45	1.12682847487296	1.074990829	1.385247386	0.6852473856
45	45	1.12093446930670	1.147171818	1.347171818	0.6471718176


### +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	1.77471849651766	1.524634202	-0.3246342017	1.024634202
45	-40	1.70823383447431	1.538811847	-0.1716666375	1.038811847
45	-35	1.64764921209802	1.544094338	-0.03108272613	1.044094338
45	-30	1.59243411085484	1.542492836	0.09811648049	1.042492836
45	-25	1.54201235975121	1.535527505	0.2171255943	1.035527505
45	-20	1.49582323044640	1.524326404	0.3271756789	1.024326404
45	-15	1.45334467282832	1.509706256	0.4294500240	1.009706256
45	-10	1.41411127934161	1.492244896	0.5250404534	0.9922448960
45	-5	1.37771384980895	1.472331961	0.6149319763	0.9723319606
45	0	1.34380723276650	1.450215207	0.7000000000	0.9502152069
45	5	1.31209920420265	1.426023929	0.7810165959	0.9260239286
45	10	1.28235448213493	1.399794598	0.8586580647	0.8997945978
45	15	1.25439142126872	1.371484163	0.9335134777	0.8714841632
45	20	1.22808013995761	1.340978324	1.006091078	0.8409783239
45	25	1.20334761798026	1.308099590	1.076823028	0.8080995903
45	30	1.18017884838134	1.272608415	1.146065676	0.7726084152
45	35	1.15862272552824	1.234204477	1.214095509	0.7342044768
45	40	1.13880424829913	1.192530098	1.281101750	0.6925300977
45	45	1.12093448900214	1.147171829	1.347171829	0.6471718290

50	-45	1.78856632314225	1.587663672	-0.3876636722	0.9126581862
50	-40	1.71873515748863	1.607553756	-0.2293479484	0.9293479484
50	-35	1.65436212993876	1.616798397	-0.08199065615	0.9371051229
50	-30	1.59516683512325	1.617546665	0.05478413233	0.9377329941
50	-25	1.54076788689048	1.611510368	0.1816942035	0.9326679395
50	-20	1.49074773946815	1.600021822	0.2996247998	0.9230279050
50	-15	1.44468286664123	1.584089424	0.4095191144	0.9096590357
50	-10	1.40217930458081	1.564464940	0.5123061110	0.8931921389
50	-5	1.36287431192219	1.541685441	0.6088643329	0.8740778695
50	0	1.32645593388068	1.516124197	0.7000000000	0.8526294391
50	5	1.29265509085405	1.488014798	0.7864400943	0.8290428530
50	10	1.26125511218551	1.457482287	0.8688299608	0.8034230342
50	15	1.23208919653712	1.424559222	0.9477348969	0.7757973022
50	20	1.20504164857643	1.389199477	1.023642142	0.7461269528
50	25	1.18005381629731	1.351291140	1.096963578	0.7143180817
50	30	1.15712172806681	1.310659737	1.168034618	0.6802242867
50	35	1.13630089645192	1.267074510	1.237111354	0.6436519381
50	40	1.11771538939600	1.220256331	1.304366821	0.6043668215
50	45	1.10155899212509	1.169880498	1.369880498	0.5620964784

55	-45	1.80054300057247	1.640981186	-0.4409811862	0.7989236275
55	-40	1.72807122011780	1.666556665	-0.2788572670	0.8168317703
55	-35	1.66055613487159	1.679932697	-0.1261977691	0.8261977691
55	-30	1.59794512240507	1.683298242	0.01682244159	0.8285543488
55	-25	1.54005203378355	1.678488516	0.1504617801	0.8251865424
55	-20	1.48661050751703	1.666996065	0.2752481688	0.8171394418
55	-15	1.43731376679910	1.650002873	0.3918576589	0.8052406807
55	-10	1.39185381737579	1.628429722	0.5010273942	0.7901349975
55	-5	1.34992900872019	1.602968263	0.6035027808	0.7723066920
55	0	1.31127201641867	1.574131153	0.7000000000	0.7521147303
55	5	1.27564364433742	1.542272923	0.7911870651	0.7298073579
55	10	1.24284830490219	1.507625190	0.8776715074	0.7055467536
55	15	1.21273282799410	1.470314394	0.9599949582	0.6794214530
55	20	1.18518911452664	1.430378889	1.038630222	0.6514583117
55	25	1.16016108643287	1.387785923	1.113981375	0.6216343958
55	30	1.13764040839350	1.342436875	1.186381156	0.5898806502
55	35	1.11767048804632	1.294177279	1.256088918	0.5560889177
55	40	1.10035313480585	1.242807512	1.323289509	0.5201194190
55	45	1.08584439483827	1.188085775	1.388085775	0.4818028464

60	-45	1.81069410839406	1.685377545	-0.4853775446	0.6843780445
60	-40	1.73617472857219	1.716334389	-0.3206257369	0.7022509867
60	-35	1.66610194964451	1.733769220	-0.1638945084	0.7123169914
60	-30	1.60061902302296	1.739834164	-0.01581858831	0.7158185883
60	-25	1.53972009254744	1.736423408	0.1234462964	0.7138493872
60	-20	1.48328780232314	1.725143418	0.2540842631	0.7073368823
60	-15	1.43113969178863	1.707323788	0.3764985659	0.6970487141
60	-10	1.38306225494432	1.684041621	0.4912215160	0.6836067484
60	-5	1.33882480852894	1.656142511	0.5988506369	0.6674991899
60	0	1.29821075251258	1.624283491	0.7000000000	0.6491053763
60	5	1.26101481393135	1.588949670	0.7952707513	0.6287053851
60	10	1.22706346057982	1.550490824	0.8852298753	0.6065011603
60	15	1.19621311036524	1.509137370	0.9703975432	0.5826257319
60	20	1.16835651580503	1.465021281	1.051239022	0.5571552965
60	25	1.14343058995882	1.418195686	1.128161680	0.5301205264
60	30	1.12141092507207	1.368641167	1.201510212	0.5015102118
60	35	1.10231713403773	1.316279551	1.271565095	0.4712792183
60	40	1.08621515668614	1.260983804	1.338541229	0.4393542038
60	45	1.07321180845823	1.202582050	1.402582050	0.4056359356

65	-45	1.81909779962790	1.721602274	-0.5216022740	0.5696424956
65	-40	1.74301833169860	1.757413893	-0.3550955337	0.5863417277
65	-35	1.67090686963887	1.778622094	-0.1953008290	0.5962312745
65	-30	1.60306722108880	1.787292311	-0.04321856219	0.6002742628
65	-25	1.53964821338767	1.785324702	0.1006432483	0.5993567517
65	-20	1.48067166156237	1.774398363	0.2361569293	0.5942617162
65	-15	1.42607649655697	1.755960565	0.3634663808	0.5856640299
65	-10	1.37574415766011	1.731225167	0.4829017837	0.5741297242
65	-5	1.32951799277469	1.701182409	0.5949101564	0.5601205563
65	0	1.28723449501668	1.666630647	0.7000000000	0.5440088047
65	5	1.24872351949249	1.628186857	0.7987035603	0.5260821713
65	10	1.21383216396807	1.586321683	0.8915478224	0.5065601200
65	15	1.18242410986678	1.541373346	0.9790351472	0.4856003664
65	20	1.15438812107051	1.493569587	1.061629755	0.4633091075
65	25	1.12964684999553	1.443048541	1.139750757	0.4397507565
65	30	1.10815188018745	1.389866236	1.213764511	0.4149514407
65	35	1.08989142284035	1.334013720	1.283982694	0.3889069845
65	40	1.07488879520950	1.275425066	1.350658887	0.3615866464
65	45	1.06319898708484	1.213983767	1.413983767	0.3329360986

70	-45	1.82583300254455	1.750314151	-0.5503141515	0.4550771346
70	-40	1.74859313046062	1.790285774	-0.3826783171	0.4696256155
70	-35	1.67490341741035	1.814806863	-0.2206376765	0.4785505618
70	-30	1.60519121431975	1.825831338	-0.06546907971	0.4825631426
70	-25	1.53973038024883	1.825229575	0.08203530057	0.4823441187
70	-20	1.47866470488708	1.814719960	0.2214810682	0.4785189318
70	-15	1.42204401338296	1.795838581	0.3527810987	0.4716466718
70	-10	1.36983857577116	1.769912996	0.4760800757	0.4622105305
70	-5	1.32196277611586	1.738061752	0.5916836320	0.4506176258
70	0	1.27830421287024	1.701213036	0.7000000000	0.4372057901
70	5	1.23872630190082	1.660108048	0.8014963026	0.4222447979
70	10	1.20309419343409	1.615332112	0.8966631437	0.4059476899
70	15	1.17127544629825	1.567325552	0.9859890198	0.3884747313
70	20	1.14315155297275	1.516406329	1.069941650	0.3699416495
70	25	1.11862681070073	1.462790208	1.148956447	0.3504269774
70	30	1.09762579891784	1.406600203	1.223425871	0.3299754884
70	35	1.08010297532202	1.347885788	1.293696020	0.3086051890
70	40	1.06604002498823	1.286630266	1.360061166	0.2863100021
70	45	1.05544411286302	1.222758713	1.422758713	0.2630626580

75	-45	1.83098127164421	1.772067996	-0.5720679959	0.3408495922
75	-40	1.75290985515213	1.815382828	-0.4037372460	0.3524557666
75	-35	1.67805003527208	1.842617323	-0.2401107704	0.3597532274
75	-30	1.60691771879354	1.855611894	-0.08266289172	0.3632351122
75	-25	1.53988355429373	1.856191638	0.06759745347	0.3633904541
75	-20	1.47719032643236	1.846090696	0.2100630539	0.3606839150
75	-15	1.41898068466572	1.826907465	0.3444562164	0.3555437836
75	-10	1.36530056851971	1.800057528	0.4707647813	0.3483493648
75	-5	1.31612714587928	1.766765926	0.5891723421	0.3394289069
75	0	1.27139284148962	1.728071181	0.7000000000	0.3290606812
75	5	1.23099016523487	1.684822000	0.8036584933	0.3174720980
75	10	1.19479903089671	1.637703675	0.9006078540	0.3048467811
75	15	1.16268839506689	1.587245180	0.9913264680	0.2913264680
75	20	1.13453184835374	1.533842924	1.076288051	0.2770173765
75	25	1.11021511171434	1.477778122	1.155945426	0.2619948583
75	30	1.08963682849172	1.419228550	1.230716851	0.2463065476
75	35	1.07272018836159	1.358289489	1.300980770	0.2299779755
75	40	1.05941031388159	1.294981060	1.367068314	0.2130145330
75	45	1.04967382429979	1.229257311	1.429257311	0.1954039075

80	-45	1.83460589592043	1.787294970	-0.5872949697	0.2269848353
80	-40	1.75597799799792	1.833051350	-0.4185628961	0.2350529197
80	-35	1.68031382361078	1.862295405	-0.2538895121	0.2402094357
80	-30	1.60818775342895	1.876771889	-0.09487962090	0.2427620304
80	-25	1.54003866910993	1.878260890	0.05730639197	0.2430245814
80	-20	1.47618187913202	1.868498877	0.2019071432	0.2413032750
80	-15	1.41683007796373	1.849124619	0.3385031479	0.2378870707
80	-10	1.36208713862317	1.821616159	0.4669634130	0.2330365870
80	-5	1.31197861129623	1.787277515	0.5873778106	0.2269817576
80	0	1.26647252939597	1.747231966	0.7000000000	0.2199206468
80	5	1.22548377773675	1.702411151	0.8051973446	0.2120175278
80	10	1.18890314914082	1.653577894	0.9034069071	0.2034069071
80	15	1.15659990947844	1.601329959	0.9951004732	0.1941941865
80	20	1.12843995606858	1.546123675	1.080757879	0.1844598291
80	25	1.10429333118549	1.488289671	1.160847042	0.1742621338
80	30	1.08403693674382	1.428045608	1.235807382	0.1636394800
80	35	1.06756945497798	1.365519847	1.306043521	0.1526145014
80	40	1.05480787451842	1.300757790	1.371915566	0.1411952034
80	45	1.04568797840438	1.233731903	1.433731903	0.1293767310

85	-45	1.83676098041773	1.796307942	-0.5963079420	0.1134122494
85	-40	1.75781420781305	1.843549770	-0.4273721166	0.1175453738
85	-35	1.68167982405211	1.874027421	-0.2621043578	0.1202118227
85	-30	1.60896618370895	1.889423166	-0.1021838387	0.1215587758
85	-25	1.54015229762114	1.891484626	0.05114006250	0.1217391303
85	-20	1.47559710661215	1.881945371	0.1970130197	0.1209045535
85	-15	1.41555699841786	1.862466672	0.3349281556	0.1192003882
85	-10	1.36017255171591	1.834564091	0.4646803433	0.1167592287
85	-5	1.30949976202472	1.799590135	0.5863005960	0.1136994040
85	0	1.26352912988323	1.758721020	0.7000000000	0.1101238198
85	5	1.22218991006470	1.712940999	0.8061185869	0.1061185869
85	10	1.18537924802853	1.663061684	0.9050791551	0.1017547123
85	15	1.15296626370468	1.609724377	0.9973497506	0.09708830261
85	20	1.12481144389726	1.553423025	1.083414625	0.09216257259
85	25	1.10077494494437	1.494519448	1.163752035	0.08700917737
85	30	1.08071888698113	1.433255075	1.238815069	0.08164923928
85	35	1.06452673541788	1.369778482	1.309025450	0.07609575696
85	40	1.05209781212180	1.304149703	1.374761719	0.07035398282
85	45	1.04334860949018	1.236351166	1.436351166	0.06442237936

90	-45	1.83747367806209	1.799290098	-0.5992900980	0.000000000
90	-40	1.75842298152504	1.847030154	-0.4302925051	0.000000000
90	-35	1.68213381354120	1.877923352	-0.2648323182	0.000000000
90	-30	1.60922580948238	1.893630431	-0.1046129047	0.000000000
90	-25	1.54019114857684	1.895887231	0.04908709404	0.000000000
90	-20	1.47540312989386	1.886425434	0.1953824101	0.000000000
90	-15	1.41513308312522	1.866913593	0.3337366067	0.000000000
90	-10	1.35953424099441	1.838879861	0.4639193566	0.000000000
90	-5	1.30867296833032	1.803693073	0.5859416354	0.000000000
90	0	1.26254735835398	1.762547358	0.7000000000	0.000000000
90	5	1.22109169978445	1.716445077	0.8064251541	0.000000000
90	10	1.18420514065352	1.666214404	0.9056350647	0.000000000
90	15	1.15175677454483	1.612511614	0.9980965886	0.000000000
90	20	1.12360511540350	1.555843436	1.084295583	0.000000000
90	25	1.09960690994214	1.496582305	1.164713961	0.000000000
90	30	1.07961898483541	1.434977467	1.239809492	0.000000000
90	35	1.06351971643297	1.371184350	1.310009849	0.000000000
90	40	1.05120240878871	1.305267764	1.375699884	0.000000000
90	45	1.04257697933725	1.237213252	1.437213252	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	1.12093452996405	1.147171853	1.347171853	0.6471718526
40	45	1.12682859005267	1.074990887	1.385247456	0.6852474556
35	45	1.13500588783370	1.003616421	1.419238787	0.7192387873
30	45	1.14517530931082	0.9328355823	1.449693220	0.7496932198
25	45	1.15713535850255	0.8623518612	1.477066074	0.7770660740
20	45	1.17076005182312	0.7918044142	1.501726039	0.8017260389
15	45	1.18599009354349	0.7207801063	1.523962574	0.8239625740
10	45	1.20282873505755	0.6488188187	1.543993461	0.8439934612
5	45	1.22133376811805	0.5754122128	1.561965536	0.8619655362
0	45	1.24161573471382	0.5000000000	1.577954906	0.8779549056
-5	45	1.26384113402235	0.4219631365	1.591965431	0.8919654309
-10	45	1.28823127973000	0.3406148342	1.603918193	0.9039181929
-15	45	1.31506742243320	0.2551912728	1.613638608	0.9136386082
-20	45	1.34469878638237	0.1648424748	1.620837733	0.9208377325
-25	45	1.37754280872270	0.06862851271	1.625079140	0.9250791398
-30	45	1.41409544891441	-0.03447784113	1.625742776	0.9257427764
-35	45	1.45492594646064	-0.1455689836	1.621968057	0.9219680572
-40	45	1.50067348736558	-0.2657540709	1.612590165	0.9125901650
-45	45	1.55201833649053	-0.3960582044	1.596058204	0.8960582044

45	50	1.10155906449619	1.169880542	1.369880542	0.5620965154
40	50	1.10531956613638	1.097664199	1.412268456	0.5976641990
35	50	1.11175335059296	1.025508120	1.450503374	0.6297471040
30	50	1.12058975039503	0.9532580995	1.485066057	0.6587486391
25	50	1.13163275491313	0.8806750007	1.516360173	0.6850075204
20	50	1.14475433808652	0.8074505734	1.544713508	0.7087987930
15	50	1.15988873786550	0.7332176255	1.570380028	0.7303355603
10	50	1.17703130949988	0.6575558727	1.593543756	0.7497722363
5	50	1.19623250258710	0.5799922973	1.614316141	0.7672023371
0	50	1.21759618503601	0.5000000000	1.632732792	0.7826557413
-5	50	1.24128321443068	0.4169951530	1.648749743	0.7960955592
-10	50	1.26750798395219	0.3303330380	1.662229157	0.8074061310
-15	50	1.29654242580670	0.2393055591	1.672924899	0.8163809235
-20	50	1.32871938476121	0.1431413072	1.680461201	0.8227046317
-25	50	1.36442783694344	0.04101402110	1.684298608	0.8259245991
-30	50	1.40411797094769	-0.06794008939	1.683701090	0.8254232222
-35	50	1.44828390349420	-0.1845807574	1.677682644	0.8203731461
-40	50	1.49745468104011	-0.3096980094	1.664960512	0.8096980094
-45	50	1.55214962676492	-0.4438938556	1.643893856	0.7920209861

45	55	1.08584443463736	1.188085800	1.388085800	0.4818028641
40	55	1.08762230463235	1.116078194	1.434213401	0.5141017582
35	55	1.09237200861874	1.043501841	1.476201071	0.5435018411
30	55	1.09985989941637	0.9702286644	1.514459938	0.5702909881
25	55	1.10991304047982	0.8960513172	1.549334791	0.5947106229
20	55	1.12241731071026	0.8206951691	1.581102736	0.6169547774
15	55	1.13731402022361	0.7438260962	1.609971379	0.6371688193
10	55	1.15460068990912	0.6650560605	1.636079435	0.6554498769
5	55	1.17432797059645	0.5839446985	1.659492294	0.6718437373
0	55	1.19659651679557	0.5000000000	1.680194483	0.6863395659
-5	55	1.22156156803066	0.4126788937	1.698084812	0.6988665090
-10	55	1.24942748750727	0.3213879649	1.712959188	0.7092816590
-15	55	1.28045033497921	0.2254872436	1.724495554	0.7173595099
-20	55	1.31493655066337	0.1242985604	1.732231222	0.7227760826
-25	55	1.35323499018933	0.01712388194	1.735531177	0.7250867361
-30	55	1.39573537652768	-0.09672580325	1.733559409	0.7237060897
-35	55	1.44284532011382	-0.2178773181	1.725235061	0.7178773181
-40	55	1.49497314436809	-0.3468200322	1.709200816	0.7066500187
-45	55	1.55248384083983	-0.4837892534	1.683789253	0.6888566512

45	60	1.07321183005832	1.202582064	1.402582064	0.4056359438
40	60	1.07321951859129	1.130901628	1.451879281	0.4340977054
35	60	1.07641861354318	1.058136391	1.497101374	0.4602066929
30	60	1.08262143806120	0.9841630259	1.538594960	0.4841630259
25	60	1.09168878089776	0.9087867742	1.576646066	0.5061318424
20	60	1.10353109044618	0.8317507760	1.611477766	0.5262419335
15	60	1.11810650572354	0.7527419651	1.643245855	0.5445832483
10	60	1.13542347381875	0.6713964724	1.672037698	0.5612062264
5	60	1.15553840112203	0.5873019178	1.697865486	0.5761179071
0	60	1.17855234155000	0.5000000000	1.720656267	0.5892761708
-5	60	1.20461586494066	0.4089902377	1.740246343	0.6005865061
-10	60	1.23392140143474	0.3137348925	1.756361918	0.6098908375
-15	60	1.26670495103615	0.2136681551	1.768604993	0.6169593803
-20	60	1.30323983808655	0.1082114665	1.776430149	0.6214772362
-25	60	1.34382761435591	-0.003201063537	1.779118163	0.6230291620
-30	60	1.38878928644880	-0.1210854502	1.775751556	0.6210854502
-35	60	1.43844252847576	-0.2458502772	1.765184587	0.6149846079
-40	60	1.49307575699056	-0.3777178470	1.746023397	0.6039218901
-45	60	1.55291396762809	-0.5166208292	1.716620829	0.5869463094

45	65	1.06319900299684	1.213983778	1.413983778	0.3329361036
40	65	1.06168627412207	1.142667048	1.465900763	0.3571453914
35	65	1.06352017453366	1.069852522	1.513833744	0.3794969071
30	65	1.06856044654326	0.9954090186	1.558073591	0.4001262866
25	65	1.07670618324385	0.9191419280	1.598852765	0.4191419280
20	65	1.08789806566571	0.8408007275	1.636342303	0.4366235867
15	65	1.10211806978501	0.7600840724	1.670646972	0.4526201166
10	65	1.11939079219056	0.6766445766	1.701801176	0.4671475603
5	65	1.13978292693063	0.5900925074	1.729762071	0.4801859400
0	65	1.16339887775870	0.5000000000	1.754397462	0.4916736114
-5	65	1.19038569244201	0.4059076696	1.775480258	0.5015046805
-10	65	1.22092318718493	0.3073331843	1.792667809	0.5095193673
-15	65	1.25522498946424	0.2037848884	1.805489846	0.5154983814
-20	65	1.29352804257021	0.09478253354	1.813325839	0.5191523648
-25	65	1.33608377827352	-0.02011285851	1.815385625	0.5201128585
-30	65	1.38314246821501	-0.1412564258	1.810688710	0.5179226514
-35	65	1.43493514343988	-0.2688630927	1.798050293	0.5120292608
-40	65	1.49164043890970	-0.4029297835	1.776069813	0.5017795947
-45	65	1.55336176572338	-0.5431491181	1.743149118	0.4864284224

45	70	1.05544412093325	1.222758718	1.422758718	0.2630626600
40	70	1.05267912543307	1.151788483	1.476771266	0.2827216198
35	70	1.05336721702846	1.079000280	1.526898095	0.3009662935
30	70	1.05741150433077	1.004248842	1.573384614	0.3178860026
25	70	1.06474792656083	0.9273323699	1.616417225	0.3335485919
20	70	1.07534895507552	0.8479996727	1.656121243	0.3479996727
15	70	1.08922199031910	0.7659541190	1.692554284	0.3612602154
10	70	1.10641045473835	0.6808587885	1.725701159	0.3733246912
5	70	1.12699376599222	0.5923413834	1.755466842	0.3841585136
0	70	1.15108167303781	0.5000000000	1.781662954	0.3936931188
-5	70	1.17881907562703	0.4034122570	1.804002954	0.4018242138
-10	70	1.21037391403666	0.3021468807	1.822080799	0.4084040111
-15	70	1.24593731419335	0.1957808751	1.835361231	0.4132376931
-20	70	1.28571016625434	0.08392416254	1.843158968	0.4160758375
-25	70	1.32989559635569	-0.03374833868	1.844627006	0.4166101596
-30	70	1.37867785646304	-0.1574514367	1.838739292	0.4144672068
-35	70	1.43220976432167	-0.2872371959	1.824291232	0.4092085431
-40	70	1.49057579494986	-0.4229214419	1.799894944	0.4003290205
-45	70	1.55377800432041	-0.5640133158	1.764013316	0.3872691758

45	75	1.04967382824983	1.229257313	1.429257313	0.1954039082
40	75	1.04593267236904	1.158581982	1.484867443	0.2103045976
35	75	1.04571442292338	1.085851060	1.536682023	0.2241882725
30	75	1.04895836476035	1.010904060	1.584911790	0.2371113996
25	75	1.05563260810441	0.9335293716	1.629706738	0.2491141695
20	75	1.06573849632061	0.8534714890	1.671154934	0.2602201804
15	75	1.07930719991634	0.7704342417	1.709274330	0.2704342417
10	75	1.09640045544542	0.6840866429	1.744007231	0.2797408945
5	75	1.11711051877709	0.5940689832	1.775213398	0.2881025617
0	75	1.14155322604339	0.5000000000	1.802655743	0.2954557159
-5	75	1.16987234669001	0.4014880799	1.825996399	0.3017098257
-10	75	1.20222473850332	0.2981453628	1.844774534	0.3067414119
-15	75	1.23878170325379	0.1896073791	1.858401032	0.3103926209
-20	75	1.27971213985928	0.07556027381	1.866138564	0.3124658864
-25	75	1.32517662583854	-0.04422626337	1.867096988	0.3127226955
-30	75	1.37530302443016	-0.1698529922	1.860219416	0.3108798556
-35	75	1.43017880048758	-0.3012433871	1.844294146	0.3066126924
-40	75	1.48981299199741	-0.4380756711	1.817955051	0.2995551531
-45	75	1.55412833992776	-0.5797253655	1.779725366	0.2893115397

45	80	1.04568798090850	1.233731904	1.433731904	0.1293767313
40	80	1.04125004841341	1.163279193	1.490465361	0.1393803705
35	80	1.04037773307368	1.090607180	1.543474466	0.1487273060
30	80	1.04303749263257	1.015542570	1.592945924	0.1574504587
25	80	1.04922198602947	0.9378645013	1.639003453	0.1655716438
20	80	1.05895539958692	0.8573124204	1.681707807	0.1731015735
15	80	1.07228815771018	0.7735887667	1.721047178	0.1800381660
10	80	1.08929710861340	0.6863655218	1.756931396	0.1863655218
5	80	1.11008537599631	0.5952913747	1.789185397	0.1920527724
0	80	1.13477452987608	0.5000000000	1.817534755	0.1970515292
-5	80	1.16350737282434	0.4001228019	1.841601598	0.2012951630
-10	80	1.19643254780307	0.2953049041	1.860883576	0.2046950959
-15	80	1.23370571160479	0.1852263810	1.874751139	0.2071403214
-20	80	1.27547070620676	0.06963104834	1.882428977	0.2084941314
-25	80	1.32185475188329	-0.05164043398	1.882996728	0.2085942413
-30	80	1.37294261299982	-0.1786049088	1.875378180	0.2072508857
-35	80	1.42877291184549	-0.3110934259	1.858361460	0.2042503787
-40	80	1.48930005643451	-0.4486883015	1.830602692	0.1993557590
-45	80	1.55439071299482	-0.5906753054	1.790675305	0.1923154835

45	85	1.04334861062558	1.236351166	1.436351166	0.06442237943
40	85	1.03849308382439	1.166036343	1.493751204	0.06944423202
35	85	1.03722606058511	1.093406485	1.547472288	0.07414421789
30	85	1.03953080969044	1.018279889	1.597687101	0.07853744469
25	85	1.04541519693977	0.9404291968	1.644503460	0.08263334545
20	85	1.05491802560081	0.8595900465	1.687965533	0.08643578409
15	85	1.06810222552209	0.7754633335	1.728043156	0.08994212177
10	85	1.08505449118179	0.6877222489	1.764625777	0.09314268643
5	85	1.10588510382626	0.5960202368	1.797516328	0.09602023677
0	85	1.13071972956079	0.5000000000	1.826417000	0.09854871787
-5	85	1.15970039589676	0.3993071647	1.850924374	0.1006928353
-10	85	1.19297060033952	0.2936074862	1.870510111	0.1024063653
-15	85	1.23067623081898	0.1826088657	1.884519839	0.1036320577
-20	85	1.27294527166816	0.06609097738	1.892155242	0.1043000688
-25	85	1.31988349329811	-0.05606158059	1.892477908	0.1043282984
-30	85	1.37154850528989	-0.1838142753	1.884401068	0.1036216665
-35	85	1.42794898699952	-0.3169426328	1.866714993	0.1020743354
-40	85	1.48900636888349	-0.4549725189	1.838091930	0.09957014194
-45	85	1.55455372313083	-0.5971380376	1.797138038	0.09598714061

45	90	1.04257698005837	1.237213253	1.437213253	0.000000000
40	90	1.03758226397497	1.166945023	1.494834128	0.000000000
35	90	1.03618321172463	1.094330274	1.548791596	0.000000000
30	90	1.03836878964145	1.019184395	1.599253750	0.000000000
25	90	1.04415199098197	0.9412776994	1.646323080	0.000000000
20	90	1.05357665203716	0.8603444375	1.690038205	0.000000000
15	90	1.06671003806386	0.7760848735	1.730362775	0.000000000
10	90	1.08364224830152	0.6881725017	1.767179288	0.000000000
5	90	1.10448605179575	0.5962623022	1.800283149	0.000000000
0	90	1.12936862335653	0.5000000000	1.829368623	0.000000000
-5	90	1.15843170722607	0.3990360241	1.854023525	0.000000000
-10	90	1.19181706069732	0.2930431393	1.873710682	0.000000000
-15	90	1.22966725430311	0.1817386954	1.887767359	0.000000000
-20	90	1.27210485753867	0.06491451430	1.895387547	0.000000000
-25	90	1.31922820695072	-0.05752993166	1.895626797	0.000000000
-30	90	1.37108561370117	-0.1855428069	1.887394972	0.000000000
-35	90	1.42767573101313	-0.3188811581	1.869483494	0.000000000
-40	90	1.48890900736773	-0.4570522619	1.840570471	0.000000000
-45	90	1.55460736933711	-0.5992734129	1.799273413	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	1.55460735731857	-0.5992734044	1.799273404	1.346221656e-16
-90	40	1.62449299113358	-0.7444338287	1.744203967	1.523991905e-16
-90	35	1.69815645913186	-0.8910483350	1.674022530	1.703542891e-16
-90	30	1.77508257455007	-1.037266603	1.587541287	1.882608625e-16
-90	25	1.85463815531170	-1.180873002	1.483803953	2.058475742e-16
-90	20	1.93605615921525	-1.319297686	1.362170205	2.227997088e-16
-90	15	2.01850252399344	-1.449723718	1.222426896	2.387722911e-16
-90	10	2.10103969959050	-1.569120186	1.064841715	2.533941412e-16
-90	5	2.18268244626160	-1.674376681	0.8902333098	2.662843442e-16
-90	-2.84217e-14	2.26241282071802	-1.762412821	0.7000000000	2.770656619e-16
-90	-5	2.33920749670583	-1.830306106	0.4961246332	2.853801914e-16
-90	-10	2.41205912738684	-1.875414529	0.2811503281	2.909043800e-16
-90	-15	2.47999512560729	-1.895491341	0.05813002973	2.933630803e-16
-90	-20	2.54210356510085	-1.888795961	-0.1694506257	2.925431328e-16
-90	-25	2.59755455783362	-1.854183923	-0.3977739920	2.883043806e-16
-90	-30	2.64561115327404	-1.791166467	-0.6228055766	2.805869680e-16
-90	-35	2.68563262150740	-1.699941452	-0.8404155884	2.694151258e-16
-90	-40	2.71708645223774	-1.581408978	-1.046509506	2.548990843e-16
-90	-45	2.73956548935353	-1.437165335	-1.237165335	2.372343327e-16

-85	45	1.55455370499789	-0.5971380248	1.797138025	0.09598713949
-85	40	1.62425038383761	-0.7414629602	1.741711112	0.1086139352
-85	35	1.69765316129062	-0.8870785397	1.671242850	0.1213536476
-85	30	1.77424620854194	-1.032150774	1.584587662	0.1340458235
-85	25	1.85340013930622	-1.174495311	1.480829987	0.1464993568
-85	20	1.93436264427009	-1.311594432	1.359366450	0.1584939757
-85	15	2.01631425791642	-1.440692589	1.220007012	0.1697886009
-85	10	2.09834044904798	-1.558834234	1.063028024	0.1801246555
-85	5	2.17948326323386	-1.662990044	0.8892371081	0.1892371081
-85	-2.84217e-14	2.25875184286397	-1.750156610	0.7000000000	0.1968631945
-85	-5	2.33515213952795	-1.817480897	0.4972466936	0.2027533064
-85	-10	2.40770133288514	-1.862370668	0.2834503127	0.2066806525
-85	-15	2.47544549497640	-1.882604154	0.06158314105	0.2084508531
-85	-20	2.53748764095378	-1.876440888	-0.1649537468	0.2079116373
-85	-25	2.59300258354151	-1.842705482	-0.3924215072	0.2049601717
-85	-30	2.64124874847171	-1.780851042	-0.6168499633	0.1995486094
-85	-35	2.68157561077052	-1.690998766	-0.8341538525	0.1916875539
-85	-40	2.71343275062596	-1.573957494	-1.040256968	0.1814477693
-85	-45	2.73638635094333	-1.431225346	-1.231225346	0.1689603244

-80	45	1.55439066817168	-0.5906752739	1.790675274	0.1923154780
-80	40	1.62351814798812	-0.7324944056	1.734185601	0.2173220173
-80	35	1.69613890531942	-0.8751254112	1.662873179	0.2424717118
-80	30	1.77173669140161	-1.016786374	1.575717022	0.2674503618
-80	25	1.84969551161839	-1.155388942	1.471920541	0.2918897340
-80	20	1.92930371625668	-1.288566847	1.350985094	0.3153725919
-80	15	2.00978986317849	-1.413748886	1.212787468	0.3374455629
-80	10	2.09030394937278	-1.528195846	1.057625650	0.3576256498
-80	5	2.16996806586962	-1.629113292	0.8862732764	0.3754201183
-80	-2.84217e-14	2.24787054062913	-1.713720336	0.7000000000	0.3903386230
-80	-5	2.32309771970259	-1.779359918	0.5005818471	0.4019126523
-80	-10	2.39473841902388	-1.823584814	0.2902893053	0.4097106947
-80	-15	2.46189966008925	-1.844253903	0.07185905973	0.4133552128
-80	-20	2.52372395710885	-1.839625929	-0.1515541975	0.4125391761
-80	-25	2.57940294028679	-1.808442161	-0.3764442579	0.4070406363
-80	-30	2.62818746299341	-1.749995133	-0.5990352960	0.3967348485
-80	-35	2.66939775522797	-1.664184003	-0.8153779530	0.3816040309
-80	-40	2.70243360229144	-1.551553474	-1.021457763	0.3617442298
-80	-45	2.72678921593480	-1.413316669	-1.213316669	0.3373693513

-75	45	1.55412827255684	-0.5797253187	1.779725319	0.2893115272
-75	40	1.62230482411410	-0.7173768671	1.721500480	0.3261951484
-75	35	1.69362702693130	-0.8550805620	1.648837624	0.3630927423
-75	30	1.76758189947957	-0.9911498068	1.560915742	0.3995523865
-75	25	1.84358021976561	-1.123660484	1.457125318	0.4350585155
-75	20	1.92097463653212	-1.250489453	1.337126056	0.4690422352
-75	15	1.99907269861550	-1.369359121	1.200893267	0.5008932669
-75	10	2.07713236365316	-1.477873319	1.048752431	0.5299695585
-75	5	2.15439251260904	-1.573592232	0.8814158131	0.5556173641
-75	-2.84217e-14	2.23007061623336	-1.654082803	0.7000000000	0.5771847474
-75	-5	2.30337332742935	-1.716985536	0.5060388984	0.5940394841
-75	-10	2.37350273099926	-1.760081161	0.3014867127	0.6055869219
-75	-15	2.43966180199340	-1.781359775	0.08871149055	0.6112885094
-75	-20	2.50106160632896	-1.779094101	-0.1295224139	0.6106814239
-75	-25	2.55692855554134	-1.751913864	-0.3500846803	0.6033985013
-75	-30	2.60651058921651	-1.698878458	-0.5695230697	0.5891877071
-75	-35	2.64908938776206	-1.619551400	-0.7841258680	0.5679320860
-75	-40	2.68399607075520	-1.514069538	-0.9900050066	0.5396683063
-75	-45	2.71061731685783	-1.383192139	-1.183192139	0.5045998129

-70	45	1.55377785702175	-0.5640132149	1.764013215	0.3872691391
-70	40	1.62061521977820	-0.6958509541	1.703438094	0.4352541519
-70	35	1.69013128211413	-0.8267608063	1.629007918	0.4829014415
-70	30	1.76182476164401	-0.9552051243	1.540163070	0.5296513500
-70	25	1.83514858643534	-1.079492885	1.436529628	0.5748883954
-70	20	1.90953938266264	-1.197822050	1.317956689	0.6179566894
-70	15	1.98440859146338	-1.308293688	1.184530833	0.6581650771
-70	10	2.05915993371478	-1.408950446	1.036599468	0.6948011410
-70	5	2.13317430479511	-1.497788110	0.8747838118	0.7271354066
-70	-2.84217e-14	2.20583415799382	-1.572806081	0.7000000000	0.7544397149
-70	-5	2.27650121890607	-1.632018494	0.5134725514	0.7759912707
-70	-10	2.34451981915005	-1.673494191	0.3167543317	0.7910871899
-70	-15	2.40921835018271	-1.695401871	0.1117438416	0.7990609333
-70	-20	2.46990384434135	-1.696056938	-0.09929935801	0.7992993580
-70	-25	2.52586211127053	-1.673982675	-0.3137447701	0.7912649836
-70	-30	2.57635934238088	-1.627981964	-0.5285909599	0.7745220940
-70	-35	2.62064807857111	-1.557220758	-0.7404814826	0.7487671213
-70	-40	2.65798183662642	-1.461323130	-0.9457455149	0.7138632391
-70	-45	2.68762383426776	-1.340460825	-1.140460825	0.6698729576

-65	45	1.55336158884165	-0.5431489993	1.743148999	0.4864283670
-65	40	1.61846844248148	-0.6675635693	1.679702160	0.5444438337
-65	35	1.68568199916602	-0.7899284139	1.603217599	0.6015034979
-65	30	1.75452552713363	-0.9089161019	1.513438091	0.6569883680
-65	25	1.82452248235930	-1.023142621	1.410253069	0.7102530688
-65	20	1.89520927526944	-1.131186482	1.293703326	0.7606347482
-65	15	1.96612603766250	-1.231587874	1.163977573	0.8074526866
-65	10	2.03682762704084	-1.322863227	1.021419969	0.8500150826
-65	5	2.10686906231236	-1.403497410	0.8665344445	0.8876154197
-65	-2.84217e-14	2.17580310260711	-1.471947295	0.7000000000	0.9195341251
-65	-5	2.24317201770095	-1.526643327	0.5226916838	0.9450393039
-65	-10	2.30848544419054	-1.565983970	0.3357112844	0.9633841467
-65	-15	2.37121856219271	-1.588357120	0.1404263961	0.9738169181
-65	-20	2.43080142152721	-1.592164950	-0.06148576690	0.9755925382
-65	-25	2.48661015475786	-1.575864752	-0.2679916309	0.9679916309
-65	-30	2.53796061602022	-1.538028813	-0.4766564840	0.9503484432
-65	-35	2.58410203746214	-1.477423170	-0.6846066099	0.9220875676
-65	-40	2.62422753921885	-1.393118452	-0.8885149947	0.8827756319
-65	-45	2.65748051286739	-1.284612261	-1.084612261	0.8321783643

-60	45	1.55291356403524	-0.5166205650	1.716620565	0.5869461569
-60	40	1.61588867057666	-0.6320640290	1.649914509	0.6535974719
-60	35	1.68032072342173	-0.7442983991	1.571267119	0.7183960157
-60	30	1.74577716945706	-0.8522731807	1.480735285	0.7807352849
-60	25	1.81186980491418	-0.9549646062	1.378461138	0.8400242071
-60	20	1.87825145392576	-1.051369466	1.264652308	0.8956835790
-60	15	1.94461129963085	-1.140493583	1.139568931	0.9471394118
-60	10	2.01066126655866	-1.221330053	1.003516931	0.9938103694
-60	5	2.07612424200278	-1.292837628	0.8568529680	1.035095287
-60	-2.84217e-14	2.14073696959140	-1.353932598	0.7000000000	1.070368485
-60	-5	2.20421629675994	-1.403451555	0.5334695673	1.098958268
-60	-10	2.26624499586652	-1.440135658	0.3579017373	1.120137844
-60	-15	2.32646508622482	-1.462629265	0.1741150735	1.133124534
-60	-20	2.38445582045931	-1.469476422	-0.01683079485	1.137077743
-60	-25	2.43971431515881	-1.459135236	-0.2135597639	1.131107256
-60	-30	2.49164383421743	-1.430019015	-0.4142969978	1.114296998
-60	-35	2.53953604749521	-1.380558035	-0.6167809123	1.085740688
-60	-40	2.58256545678827	-1.309301290	-0.8181840451	1.044600587
-60	-45	2.61978791159246	-1.215053773	-1.015053773	0.9901867574

-55	45	1.55248350338648	-0.4837890395	1.683789040	0.6888565015
-55	40	1.61292316315114	-0.5888244903	1.613632228	0.7624031159
-55	35	1.67411163666968	-0.6895647592	1.532942212	0.8329422116
-55	30	1.73569431583613	-0.7853032331	1.442070168	0.8999790127
-55	25	1.79739146650964	-0.8754114505	1.341364892	0.9630734658
-55	20	1.85898688772076	-0.9593132309	1.231146579	1.021822125
-55	15	1.92031011880163	-1.036450986	1.111690801	1.075834562
-55	10	1.98123674857679	-1.106265259	0.9832279034	1.124719043
-55	5	2.04165308147636	-1.168145908	0.8459438561	1.168048340
-55	-2.84217e-14	2.10145609310903	-1.221412055	0.7000000000	1.205345697
-55	-5	2.16053161731247	-1.265276388	0.5455583281	1.236059834
-55	-10	2.21873441631017	-1.298813804	0.3828205931	1.259542985
-55	-15	2.27587311009121	-1.320938946	0.2120808800	1.275035176
-55	-20	2.33169131385323	-1.330388373	0.03379311511	1.281651737
-55	-25	2.38583953521209	-1.325707464	-0.1513413719	1.278374129
-55	-30	2.43784925736626	-1.305257702	-0.3422660203	1.264055051
-55	-35	2.48711274106182	-1.267254706	-0.5374450674	1.237445067
-55	-40	2.53285230725902	-1.209834470	-0.7347214735	1.197238985
-55	-45	2.57410061302368	-1.131174801	-0.9311748010	1.142160892

-50	45	1.55214908436826	-0.4438935258	1.643893526	0.7920207094
-50	40	1.60963806008522	-0.5372515346	1.570357380	0.8703573802
-50	35	1.66714794131185	-0.6254296230	1.488034306	0.9443475816
-50	30	1.72443086243899	-0.7081068364	1.397500807	1.013722001
-50	25	1.78132850803267	-0.7850508643	1.299229059	1.078285706
-50	20	1.83776346805106	-0.8560845102	1.193574397	1.137890012
-50	15	1.89370849704712	-0.9210380707	1.080766003	1.192392521
-50	10	1.94917502748686	-0.9797169468	0.9609140215	1.241629944
-50	5	2.00419488670776	-1.031865864	0.8340208971	1.285388081
-50	-2.84217e-14	2.05881120180192	-1.077140881	0.7000000000	1.323378331
-50	-5	2.11305650554794	-1.115072042	0.5586995055	1.355206355
-50	-10	2.16693675274848	-1.145030841	0.4099366786	1.380344772
-50	-15	2.22042206343247	-1.166203795	0.2535420386	1.398110990
-50	-20	2.27342142111517	-1.177556241	0.08941946214	1.407636823
-50	-25	2.32575588493522	-1.177800920	-0.08237141798	1.407842133
-50	-30	2.37713024810044	-1.165376888	-0.2615057948	1.397417133
-50	-35	2.42709615177068	-1.138442420	-0.4472497332	1.374816430
-50	-40	2.47500987057184	-1.094897543	-0.6382779398	1.338277940
-50	-45	2.51998462540613	-1.032454064	-0.8324540645	1.285881640

-45	45	1.55201810980621	-0.3960580735	1.596058073	0.8960580735
-45	40	1.60613565203543	-0.4767238590	1.519568630	0.9767238590
-45	35	1.65955855259750	-0.5516411356	1.436367051	1.051641136
-45	30	1.71217154043695	-0.6208793838	1.347140014	1.120879384
-45	25	1.76395859317552	-0.6845739295	1.252375895	1.184573930
-45	20	1.81496921769976	-0.7428747285	1.152369406	1.242874729
-45	15	1.86530372928859	-0.7959134064	1.047238951	1.295913406
-45	10	1.91509560986593	-0.8437724966	0.9369433471	1.343772497
-45	5	1.96449385317405	-0.8864563822	0.8212992159	1.386456382
-45	-2.84217e-14	2.01365353423442	-0.9238680690	0.7000000000	1.423868069
-45	-5	2.06272566288667	-0.9557842242	0.5726353838	1.455784224
-45	-10	2.11184368162348	-0.9818254722	0.4387141885	1.481825472
-45	-15	2.16111876137377	-1.001429891	0.2976930731	1.501429891
-45	-20	2.21061559941044	-1.013809841	0.1490182775	1.513809841
-45	-25	2.26033342442666	-1.017910940	-0.007813495810	1.517910940
-45	-30	2.31017926127042	-1.012367333	-0.1731656870	1.512367333
-45	-35	2.35991579098133	-0.9954486050	-0.3471243862	1.495448605
-45	-40	2.40911289371914	-0.9650307024	-0.5293067220	1.465030702
-45	-45	2.45707900627819	-0.9185952257	-0.7185952257	1.418595226


### -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	2.73956550739269	-1.437165348	-1.237165348	2.372343343e-16
-40	-90	2.75276639682456	-1.269444132	-1.408741401	2.582463408e-16
-35	-90	2.75650482475379	-1.081066214	-1.557996562	2.765248262e-16
-30	-90	2.75074973794521	-0.8753748690	-1.682219153	2.917377060e-16
-25	-90	2.73556959283751	-0.6561016662	-1.779268024	3.036227650e-16
-20	-90	2.71116205238742	-0.4272720337	-1.847658974	3.119982408e-16
-15	-90	2.67784338692320	-0.1930768683	-1.886598086	3.167669067e-16
-10	-90	2.63604855006042	0.04225497304	-1.896001049	3.179184376e-16
-5	-90	2.58632910665180	0.2745865657	-1.876487344	3.155286978e-16
-2.84217e-14	-90	2.52935599372762	0.5000000000	-1.829355994	3.097567722e-16
5	-90	2.46589411097660	0.7149168328	-1.756510639	3.008357892e-16
10	-90	2.39680162891468	0.9162002351	-1.660388827	2.890642621e-16
15	-90	2.32301039770594	1.101239333	-1.543855738	2.747930747e-16
20	-90	2.24550673576700	1.268008536	-1.410086110	2.584110200e-16
25	-90	2.16530446130227	1.415097208	-1.262432295	2.403286428e-16
30	-90	2.08340609687719	1.541703048	-1.104282606	2.209608919e-16
35	-90	2.00083368809144	1.647631057	-0.9389870059	2.007180191e-16
40	-90	1.91855323503958	1.733222248	-0.7696970445	1.799859781e-16
45	-90	1.83747367552204	1.799290096	-0.5992900962	1.591171457e-16

-45	-85	2.73638637819661	-1.431225365	-1.231225365	0.1689603261
-40	-85	2.74899198503591	-1.263062842	-1.401136476	0.1838256222
-35	-85	2.75217646115169	-1.074545243	-1.548683650	0.1967343272
-30	-85	2.74593821277013	-0.8690450916	-1.671255657	0.2074579883
-25	-85	2.73037214303439	-0.6502947474	-1.766815046	0.2158183516
-20	-85	2.70569826604607	-0.4222917247	-1.833975688	0.2216941463
-15	-85	2.67224777736793	-0.1891721251	-1.872025386	0.2250230636
-10	-85	2.63046143357309	0.04491120950	-1.880936784	0.2258027099
-5	-85	2.58089345551966	0.2759098121	-1.861362568	0.2240901879
-2.84217e-14	-85	2.52420175662884	0.5000000000	-1.814596407	0.2199986789
5	-85	2.46113428050380	0.7136919066	-1.742509669	0.2136919066
10	-85	2.39252560332087	0.9139241766	-1.647480658	0.2053779454
15	-85	2.31928073195022	1.098142000	-1.532296335	0.1953006230
20	-85	2.24235483198682	1.264351787	-1.400039276	0.1837296296
25	-85	2.16273158670147	1.411150075	-1.253967642	0.1709500176
30	-85	2.08138673328169	1.537719013	-1.097382054	0.1572505537
35	-85	1.99931856583905	1.643828378	-0.9335562175	0.1429176503
40	-85	1.91747702022736	1.729771677	-0.7655848146	0.1282220567
45	-85	1.83676097615841	1.796307939	-0.5963079390	0.1134122491

-45	-80	2.72678925933413	-1.413316699	-1.213316699	0.3373693567
-40	-80	2.73762948851485	-1.243877641	-1.378272444	0.3664555051
-35	-80	2.73918294034866	-1.054993979	-1.520761552	0.3915801793
-30	-80	2.73153004963742	-0.8501144787	-1.638466873	0.4123348032
-25	-80	2.71484277732719	-0.6329664214	-1.729654331	0.4284136124
-20	-80	2.68940289486165	-0.4074575361	-1.793219090	0.4396217943
-15	-80	2.65558332632522	-0.1775583240	-1.828682090	0.4458748781
-10	-80	2.61384489220095	0.05280284555	-1.836181092	0.4471971545
-5	-80	2.56473585505093	0.2798392712	-1.816448645	0.4437177916
-2.84217e-14	-80	2.50888378671555	0.5000000000	-1.770768205	0.4356630975
5	-80	2.44698489344553	0.7100528116	-1.700914623	0.4233460264
10	-80	2.37980576561807	0.9071558988	-1.609095847	0.4071558988
15	-80	2.30817234708972	1.088918213	-1.497872692	0.3875442558
20	-80	2.23295019439773	1.253441400	-1.370063233	0.3650079997
25	-80	2.15503641667365	1.399346333	-1.228654435	0.3400738134
30	-80	2.07533071345939	1.525774563	-1.076693661	0.3132790289
35	-80	1.99476322260049	1.632397824	-0.9172316949	0.2851615819
40	-80	1.91423251840742	1.719371468	-0.7531903280	0.2562366629
45	-80	1.83460587961535	1.787294958	-0.5872949582	0.2269848333

-45	-75	2.71061735672539	-1.383192167	-1.183192167	0.5045998203
-40	-75	2.71858468897424	-1.211784077	-1.340024823	0.5466230038
-35	-75	2.71751646244107	-1.022461453	-1.474300290	0.5826020067
-30	-75	2.70761791322175	-0.8187682486	-1.584173610	0.6120424742
-25	-75	2.68918020606438	-0.6043980603	-1.668389283	0.6346079958
-20	-75	2.66257284841786	-0.3830905448	-1.726271331	0.6501174438
-15	-75	2.62822729563716	-0.1585360089	-1.757689844	0.6585360089
-10	-75	2.58662717636225	0.06570292273	-1.763021119	0.6599645197
-5	-75	2.53830456107655	0.2862559477	-1.743105697	0.6546281985
-2.84217e-14	-75	2.48383533161103	0.5000000000	-1.699200695	0.6428638887
5	-75	2.42383580361503	0.7041049347	-1.632930079	0.6251067307
10	-75	2.35896794161249	0.8960728828	-1.546240939	0.6018784457
15	-75	2.28993074745041	1.073771476	-1.441344301	0.5737714761
20	-75	2.21745862044026	1.235460343	-1.320660686	0.5414343990
25	-75	2.14231301351677	1.379809516	-1.186757597	0.5055551743
30	-75	2.06527794967522	1.505911126	-1.042289179	0.4668449784
35	-75	1.98716957329902	1.613291904	-0.8899456134	0.4260246431
40	-75	1.90880044996128	1.701895320	-0.7323630659	0.3838005268
45	-75	1.83098121121903	1.772067954	-0.5720679540	0.3408495810

-45	-70	2.68762386896304	-1.340460849	-1.140460849	0.6698729662
-40	-70	2.69171856401679	-1.166634321	-1.286217440	0.7229240269
-35	-70	2.68717667010554	-0.9770499960	-1.409446008	0.7677755576
-30	-70	2.67436333255709	-0.7753262170	-1.508929804	0.8039846983
-25	-70	2.65371255305219	-0.5650570394	-1.584022192	0.8313160922
-20	-70	2.62569062326356	-0.3497143864	-1.634571090	0.8497143864
-15	-70	2.59078398833494	-0.1325888379	-1.660853683	0.8592804681
-10	-70	2.54948951532661	0.08324907084	-1.663511968	0.8602480046
-5	-70	2.50230766939127	0.2949708696	-1.643493684	0.8529619452
-2.84217e-14	-70	2.44974267972802	0.5000000000	-1.602005119	0.8378613424
5	-70	2.39230768437655	0.6960161695	-1.540475069	0.8154662358
10	-70	2.33053019993453	0.8809588627	-1.460525072	0.7863668166
15	-70	2.26495658724529	1.053031925	-1.363943241	0.7512139049
20	-70	2.19616083578832	1.210711856	-1.252664777	0.7107118563
25	-70	2.12473319589869	1.352753266	-1.128735281	0.6656052086
30	-70	2.05130650536478	1.478208508	-0.9943068363	0.6166772561
35	-70	1.97654561566725	1.586440176	-0.8515973714	0.5647352588
40	-70	1.90114447607881	1.677133700	-0.7028533163	0.5105968502
45	-70	1.82583289903087	1.750314081	-0.5503140806	0.4550771088

-45	-65	2.65748068398167	-1.284612376	-1.084612376	0.8321784179
-40	-65	2.65686444232175	-1.108270984	-1.216662723	0.8937545056
-35	-65	2.64819090669132	-0.9189465356	-1.326465666	0.9449564593
-30	-65	2.63201905367198	-0.7202641230	-1.413559460	0.9855689621
-25	-65	2.60890951159183	-0.5156005228	-1.477962350	1.015600523
-20	-65	2.57941696565025	-0.3080418618	-1.520076769	1.035238799
-15	-65	2.54406249192838	-0.1003622946	-1.540582587	1.044800819
-10	-65	2.50333327737549	0.1049634766	-1.540363454	1.044698635
-5	-65	2.45767634091822	0.3057364972	-1.520441998	1.035409108
-2.84217e-14	-65	2.40750592107067	0.5000000000	-1.481941364	1.017455967
5	-65	2.35321345805802	0.6860063840	-1.426062698	0.9913993179
10	-65	2.29518050408339	0.8621891401	-1.354076685	0.9578316888
15	-65	2.23379356753016	1.027143274	-1.267325482	0.9173789385
20	-65	2.16944282854537	1.179611186	-1.167216386	0.8706973004
25	-65	2.10253573348268	1.318478518	-1.055232846	0.8184785178
30	-65	2.03352339486095	1.442787872	-0.9329564947	0.7614601189
35	-65	1.96290134184253	1.551756522	-0.8020639811	0.7004239374
40	-65	1.89122182973230	1.644807068	-0.6643279361	0.6361965648
45	-65	1.81909751711119	1.721602084	-0.5216020843	0.5696424071

-45	-60	2.61978810146220	-1.215053897	-1.015053897	0.9901868292
-40	-60	2.61384403388748	-1.036571434	-1.131214527	1.057252200
-35	-60	2.60065145837893	-0.8484700103	-1.225814757	1.111869669
-30	-60	2.58094176070739	-0.6542322446	-1.299188891	1.154232245
-25	-60	2.55538621863877	-0.4568735225	-1.352021891	1.184735391
-20	-60	2.52458299526354	-0.2589567480	-1.385216527	1.203900323
-15	-60	2.48905205590685	-0.06263683704	-1.399789262	1.212313896
-10	-60	2.44923748440605	0.1302783283	-1.396795795	1.210585617
-5	-60	2.40551016658053	0.3182616427	-1.377278929	1.199317549
-2.84217e-14	-60	2.35818014183679	0.5000000000	-1.342243910	1.179090071
5	-60	2.30751334146988	0.6743346130	-1.292653745	1.150459176
10	-60	2.25374686977938	0.8402116232	-1.229435994	1.113960390
15	-60	2.19709923972997	0.9966424724	-1.153494940	1.070115803
20	-60	2.13778156245743	1.142673957	-1.065732184	1.019445952
25	-60	2.07601933263566	1.277372875	-0.9670815103	0.9624899587
30	-60	2.01207955828374	1.399829334	-0.8585501241	0.8998293337
35	-60	1.94627419813874	1.509167291	-0.7412402556	0.8321004495
40	-60	1.87899171559700	1.604581971	-0.6163895327	0.7600178511
45	-60	1.81069386495929	1.685377385	-0.4853773852	0.6843779525

-45	-55	2.57410034293294	-1.131174630	-0.9311746299	1.142160772
-40	-55	2.56250466189168	-0.9515179009	-1.029851673	1.211255181
-35	-55	2.54472760666318	-0.7661109296	-1.108193800	1.266110930
-30	-55	2.52161776001175	-0.5780799918	-1.167289320	1.307490058
-25	-55	2.49389361760220	-0.3898984121	-1.208393303	1.336271377
-20	-55	2.46214832342052	-0.2034808403	-1.232797724	1.353359536
-15	-55	2.42685769169688	-0.02028835177	-1.241742563	1.359622780
-10	-55	2.38838894801293	0.1585676120	-1.236359295	1.355853375
-5	-55	2.34701430021406	0.3322279527	-1.217643275	1.342748277
-2.84217e-14	-55	2.30292941719669	0.5000000000	-1.186449340	1.320906048
5	-55	2.25627247931355	0.6612855333	-1.143502081	1.290834054
10	-55	2.20714397265260	0.8155224939	-1.089416983	1.252963261
15	-55	2.15561355701554	0.9621369553	-1.024718597	1.207660963
20	-55	2.10172878920852	1.100502383	-0.9498667366	1.155249126
25	-55	2.04555493690768	1.229917298	-0.8653126963	1.096043750
30	-55	1.98717947400747	1.349588889	-0.7715311212	1.030377184
35	-55	1.92673128682304	1.458631303	-0.6690673842	0.9586313027
40	-55	1.86441894659399	1.556090752	-0.5585999480	0.8812811712
45	-55	1.80054230245939	1.640980744	-0.4409807438	0.7989233177

-45	-50	2.51998482936567	-1.032454189	-0.8324541885	1.285881744
-40	-50	2.50277558550228	-0.8532913117	-0.9127897826	1.353291312
-35	-50	2.48070407558603	-0.6725893459	-0.9746311370	1.405182369
-30	-50	2.45465153117201	-0.4928617388	-1.019686976	1.442988708
-25	-50	2.42530952658641	-0.3158607125	-1.049618944	1.468104611
-20	-50	2.39319854723388	-0.1427494888	-1.065939707	1.481799357
-15	-50	2.35869564543847	0.02573951288	-1.069964234	1.485176336
-10	-50	2.32205997457011	0.1891720868	-1.062792693	1.479158699
-5	-50	2.28345293456445	0.3473050636	-1.045311110	1.464489908
-2.84217e-14	-50	2.24295559397466	0.5000000000	-1.018203669	1.441744065
5	-50	2.20058919410807	0.6471538222	-0.9819758839	1.411345344
10	-50	2.15633307560764	0.7886439271	-0.9369810560	1.373590200
15	-50	2.11013115928824	0.9242818837	-0.8834415466	1.328665218
20	-50	2.06190731836433	1.053773475	-0.8214801168	1.276673405
25	-50	2.01158251282024	1.176685233	-0.7511561652	1.217664603
30	-50	1.95908451420823	1.292413926	-0.6725011807	1.151665235
35	-50	1.90438501189629	1.400172494	-0.5855795535	1.078729329
40	-50	1.84750509470768	1.498975940	-0.4905331653	0.9989759399
45	-50	1.78856579711249	1.587663352	-0.3876633523	0.9126579177

-45	-45	2.45707860896863	-0.9185949963	-0.7185949963	1.418594996
-40	-45	2.43472557469977	-0.7423761971	-0.7806062962	1.480606296
-35	-45	2.40903696274222	-0.5689200694	-0.8265760664	1.526576066
-30	-45	2.38081929844638	-0.3998651115	-0.8586120930	1.558612093
-25	-45	2.35064488322844	-0.2360941329	-0.8785589622	1.578558962
-20	-45	2.31889807980626	-0.07797043440	-0.8879607176	1.587960718
-15	-45	2.28581612674361	0.07447981212	-0.8880629608	1.588062961
-10	-45	2.25152821276424	0.2214318554	-0.8798384540	1.579838454
-5	-45	2.21608111663831	0.3631663309	-0.8640159946	1.564015995
-2.84217e-14	-45	2.17944982431657	0.5000000000	-0.8411037500	1.541103750
5	-45	2.14155710532885	0.6322321255	-0.8114201104	1.511420110
10	-45	2.10228690515442	0.7601034086	-0.7751197322	1.475119732
15	-45	2.06148610622078	0.8837596318	-0.7322104439	1.432210444
20	-45	2.01898410981050	1.003218806	-0.6825823066	1.382582307
25	-45	1.97459445084039	1.118335590	-0.6260249514	1.326024951
30	-45	1.92812655572335	1.228763338	-0.5622551273	1.262255127
35	-45	1.87940401871848	1.333915255	-0.4909544098	1.190954410
40	-45	1.82828982129958	1.432928039	-0.4118203419	1.111820342
45	-45	1.77471781671877	1.524633809	-0.3246338092	1.024633809